%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT117+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n001.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 : Tue Sep 8 06:24:15 AM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 67 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 1372 ( 0 equ)
% Maximal formula atoms : 64 ( 20 avg)
% Number of connectives : 1775 ( 569 ~; 475 |; 658 &)
% ( 67 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 99 ( 99 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 220 ( 130 !; 63 ?; 220 :)
% Comments :
%------------------------------------------------------------------------------
tff(part_of_type,type,
part_of: ( $i * $i ) > $o ).
tff(tptp_fun_RhoI_2_type,type,
tptp_fun_RhoI_2: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(p1_type,type,
p1: $i ).
tff(bibliothek_type,type,
bibliothek: $i ).
tff(museen_type,type,
museen: $i ).
tff(read_type,type,
read: $i ).
tff(museum_api_type,type,
museum_api: $i ).
tff(e1_type,type,
e1: $i ).
tff(tptp_fun_Db_0_type,type,
tptp_fun_Db_0: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(cnt_type,type,
cnt: ( $i * $i * $i ) > $o ).
tff(bearer_type,type,
bearer: ( $i * $i ) > $o ).
tff(disability_type,type,
disability: $i > $o ).
tff(tptp_fun_Im_1_type,type,
tptp_fun_Im_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(immunity_type,type,
immunity: $i > $o ).
tff(founds_imm_type,type,
founds_imm: ( $i * $i * $i ) > $o ).
tff(activates_type,type,
activates: ( $i * $i ) > $o ).
tff(tgt_type,type,
tgt: ( $i * $i ) > $o ).
tff(act_type,type,
act: ( $i * $i ) > $o ).
tff(aer_type,type,
aer: ( $i * $i ) > $o ).
tff(aee_type,type,
aee: ( $i * $i ) > $o ).
tff(strong_type,type,
strong: $i > $o ).
tff(perm_type,type,
perm: $i > $o ).
tff(1,plain,
( activates(e1,p1)
<=> activates(e1,p1) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
activates(e1,p1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_e1_p1) ).
tff(3,plain,
activates(e1,p1),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( tgt(p1,museum_api)
<=> tgt(p1,museum_api) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
tgt(p1,museum_api),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tgt_p1) ).
tff(6,plain,
tgt(p1,museum_api),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( act(p1,read)
<=> act(p1,read) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
act(p1,read),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_p1) ).
tff(9,plain,
act(p1,read),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
( aer(p1,museen)
<=> aer(p1,museen) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
aer(p1,museen),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aer_p1) ).
tff(12,plain,
aer(p1,museen),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
( aee(p1,bibliothek)
<=> aee(p1,bibliothek) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
aee(p1,bibliothek),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aee_p1) ).
tff(15,plain,
aee(p1,bibliothek),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( strong(p1)
<=> strong(p1) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
strong(p1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_p1) ).
tff(18,plain,
strong(p1),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( perm(p1)
<=> perm(p1) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,axiom,
perm(p1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',perm_p1) ).
tff(21,plain,
perm(p1),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
^ [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
refl(( ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
<=> ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) ) )),
inference(bind,[status(th)],[]) ).
tff(23,plain,
( ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
<=> ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,plain,
^ [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
<=> ~ ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P) ) )),
( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
<=> ~ ~ ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P) ) )),
rewrite(( ~ ~ ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P) )
<=> ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P) ) )),
( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
<=> ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P) ) )),
rewrite(( ( founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
& immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
& bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
& cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
& disability(tptp_fun_Db_0(E,T,A,Y,X,P))
& bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
& cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) )
<=> ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )),
( ( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ( founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
& immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
& bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
& cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
& disability(tptp_fun_Db_0(E,T,A,Y,X,P))
& bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
& cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
<=> ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) ) )),
rewrite(( ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
<=> ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) ) )),
( ( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ( founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
& immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
& bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
& cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
& disability(tptp_fun_Db_0(E,T,A,Y,X,P))
& bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
& cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
<=> ( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) ) )),
inference(bind,[status(th)],[]) ).
tff(25,plain,
( ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ( founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
& immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
& bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
& cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
& disability(tptp_fun_Db_0(E,T,A,Y,X,P))
& bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
& cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
<=> ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) )
<=> ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,plain,
^ [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( perm(P)
& strong(P)
& aee(P,X) )
<=> ( perm(P)
& strong(P)
& aee(P,X) ) )),
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y) ) )),
rewrite(( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y) ) )),
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y) ) )),
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A) ) )),
rewrite(( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A) ) )),
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A) ) )),
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T) ) )),
rewrite(( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T) ) )),
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T) ) )),
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) ) )),
rewrite(( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) ) )),
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
<=> ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) ) )),
quant_intro(proof_bind(^ [RhoI: $i,Im: $i,Db: $i] :
trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T) ) )),
rewrite(( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI) ) )),
rewrite(( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db) ) )),
rewrite(( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y) ) )),
rewrite(( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T) ) )),
rewrite(( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) )),
rewrite(( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) )),
( ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) )
<=> ( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) ))),
( ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) )
<=> ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) )),
( ( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
=> ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) )
<=> ( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
=> ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) ) )),
rewrite(( ( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
=> ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) )
<=> ( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) ) )),
( ( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
=> ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) )
<=> ( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) ) )),
inference(bind,[status(th)],[]) ).
tff(28,plain,
( ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
=> ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) )
<=> ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,axiom,
! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
=> ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_perm_relator_strong) ).
tff(30,plain,
! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ? [RhoI: $i,Im: $i,Db: $i] :
( founds_imm(E,RhoI,P)
& immunity(Im)
& bearer(Im,X)
& cnt(Im,A,T)
& part_of(Im,RhoI)
& disability(Db)
& bearer(Db,Y)
& cnt(Db,A,T)
& part_of(Db,RhoI) ) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( perm(P)
& strong(P)
& aee(P,X)
& aer(P,Y)
& act(P,A)
& tgt(P,T)
& activates(E,P) )
| ( founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
& immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
& bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
& cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
& disability(tptp_fun_Db_0(E,T,A,Y,X,P))
& bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
& cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
& part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) ),
inference(modus_ponens,[status(thm)],[32,25]) ).
tff(34,plain,
! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) ),
inference(modus_ponens,[status(thm)],[33,23]) ).
tff(35,plain,
( ( ~ ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
| ~ aer(p1,museen)
| ~ aee(p1,bibliothek)
| ~ strong(p1)
| ~ perm(p1)
| ~ act(p1,read)
| ~ tgt(p1,museum_api)
| ~ activates(e1,p1)
| ~ ( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) ) )
<=> ( ~ ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
| ~ aer(p1,museen)
| ~ aee(p1,bibliothek)
| ~ strong(p1)
| ~ perm(p1)
| ~ act(p1,read)
| ~ tgt(p1,museum_api)
| ~ activates(e1,p1)
| ~ ( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,plain,
( ~ ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
| ~ aer(p1,museen)
| ~ aee(p1,bibliothek)
| ~ strong(p1)
| ~ perm(p1)
| ~ act(p1,read)
| ~ tgt(p1,museum_api)
| ~ activates(e1,p1)
| ~ ( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(37,plain,
( ~ ! [P: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P)
| ~ act(P,A)
| ~ tgt(P,T)
| ~ activates(E,P)
| ~ ( ~ founds_imm(E,tptp_fun_RhoI_2(E,T,A,Y,X,P),P)
| ~ immunity(tptp_fun_Im_1(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Im_1(E,T,A,Y,X,P),X)
| ~ cnt(tptp_fun_Im_1(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Im_1(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P))
| ~ disability(tptp_fun_Db_0(E,T,A,Y,X,P))
| ~ bearer(tptp_fun_Db_0(E,T,A,Y,X,P),Y)
| ~ cnt(tptp_fun_Db_0(E,T,A,Y,X,P),A,T)
| ~ part_of(tptp_fun_Db_0(E,T,A,Y,X,P),tptp_fun_RhoI_2(E,T,A,Y,X,P)) ) )
| ~ aer(p1,museen)
| ~ aee(p1,bibliothek)
| ~ strong(p1)
| ~ perm(p1)
| ~ act(p1,read)
| ~ tgt(p1,museum_api)
| ~ activates(e1,p1)
| ~ ( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) ) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
~ ( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) ),
inference(unit_resolution,[status(thm)],[37,34,21,18,15,12,9,6,3]) ).
tff(39,plain,
( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) ),
inference(tautology,[status(thm)],[]) ).
tff(40,plain,
part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)),
inference(unit_resolution,[status(thm)],[39,38]) ).
tff(41,plain,
( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api) ),
inference(tautology,[status(thm)],[]) ).
tff(42,plain,
cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api),
inference(unit_resolution,[status(thm)],[41,38]) ).
tff(43,plain,
( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen) ),
inference(tautology,[status(thm)],[]) ).
tff(44,plain,
bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen),
inference(unit_resolution,[status(thm)],[43,38]) ).
tff(45,plain,
( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1)) ),
inference(tautology,[status(thm)],[]) ).
tff(46,plain,
disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1)),
inference(unit_resolution,[status(thm)],[45,38]) ).
tff(47,plain,
( ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ immunity(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),bibliothek)
| ~ cnt(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Im_1(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1))
| founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1) ),
inference(tautology,[status(thm)],[]) ).
tff(48,plain,
founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1),
inference(unit_resolution,[status(thm)],[47,38]) ).
tff(49,plain,
^ [RhoI: $i,Db: $i] :
refl(( ( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) )
<=> ( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) ) )),
inference(bind,[status(th)],[]) ).
tff(50,plain,
( ! [RhoI: $i,Db: $i] :
( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) )
<=> ! [RhoI: $i,Db: $i] :
( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) ) ),
inference(quant_intro,[status(thm)],[49]) ).
tff(51,plain,
^ [RhoI: $i,Db: $i] :
trans(monotonicity(rewrite(( ( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) )
<=> ~ ( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) ) )),
( ~ ( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) )
<=> ~ ~ ( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) ) )),
rewrite(( ~ ~ ( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) )
<=> ( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) ) )),
( ~ ( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) )
<=> ( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) ) )),
inference(bind,[status(th)],[]) ).
tff(52,plain,
( ! [RhoI: $i,Db: $i] :
~ ( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) )
<=> ! [RhoI: $i,Db: $i] :
( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) ) ),
inference(quant_intro,[status(thm)],[51]) ).
tff(53,plain,
( ~ ? [RhoI: $i,Db: $i] :
( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) )
<=> ~ ? [RhoI: $i,Db: $i] :
( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,plain,
( ~ ? [RhoI: $i,Db: $i] :
( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) )
<=> ~ ? [RhoI: $i,Db: $i] :
( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(55,axiom,
~ ? [RhoI: $i,Db: $i] :
( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
tff(56,plain,
~ ? [RhoI: $i,Db: $i] :
( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
~ ? [RhoI: $i,Db: $i] :
( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ),
inference(modus_ponens,[status(thm)],[56,53]) ).
tff(58,plain,
~ ? [RhoI: $i,Db: $i] :
( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ),
inference(modus_ponens,[status(thm)],[57,53]) ).
tff(59,plain,
~ ? [RhoI: $i,Db: $i] :
( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ),
inference(modus_ponens,[status(thm)],[58,53]) ).
tff(60,plain,
^ [RhoI: $i,Db: $i] :
refl($oeq(~ ( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ),
~ ( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ))),
inference(bind,[status(th)],[]) ).
tff(61,plain,
! [RhoI: $i,Db: $i] :
~ ( founds_imm(e1,RhoI,p1)
& disability(Db)
& bearer(Db,museen)
& cnt(Db,read,museum_api)
& part_of(Db,RhoI) ),
inference(nnf-neg,[status(sab)],[59,60]) ).
tff(62,plain,
! [RhoI: $i,Db: $i] :
( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) ),
inference(modus_ponens,[status(thm)],[61,52]) ).
tff(63,plain,
! [RhoI: $i,Db: $i] :
( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) ),
inference(modus_ponens,[status(thm)],[62,50]) ).
tff(64,plain,
( ( ~ ! [RhoI: $i,Db: $i] :
( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) )
| ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) )
<=> ( ~ ! [RhoI: $i,Db: $i] :
( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) )
| ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(65,plain,
( ~ ! [RhoI: $i,Db: $i] :
( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) )
| ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(66,plain,
( ~ ! [RhoI: $i,Db: $i] :
( ~ founds_imm(e1,RhoI,p1)
| ~ disability(Db)
| ~ bearer(Db,museen)
| ~ cnt(Db,read,museum_api)
| ~ part_of(Db,RhoI) )
| ~ founds_imm(e1,tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1),p1)
| ~ disability(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1))
| ~ bearer(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),museen)
| ~ cnt(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),read,museum_api)
| ~ part_of(tptp_fun_Db_0(e1,museum_api,read,museen,bibliothek,p1),tptp_fun_RhoI_2(e1,museum_api,read,museen,bibliothek,p1)) ),
inference(modus_ponens,[status(thm)],[65,64]) ).
tff(67,plain,
$false,
inference(unit_resolution,[status(thm)],[66,63,48,46,44,42,40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT117+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n001.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 14:14:56 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Proof
% See solution above
% 0.13/0.42 % E exiting
%------------------------------------------------------------------------------