%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT113+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n003.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 0.12s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 55
% Syntax : Number of formulae : 119 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 2360 ( 0 equ)
% Maximal formula atoms : 64 ( 19 avg)
% Number of connectives : 3253 (1165 ~;1036 |; 918 &)
% ( 116 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 153 ( 153 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-6 aty)
% Number of variables : 555 ( 417 !; 72 ?; 555 :)
% Comments :
%------------------------------------------------------------------------------
tff(about_event_type,type,
about_event: ( $i * $i ) > $o ).
tff(e1_type,type,
e1: $i ).
tff(tptp_fun_S_3_type,type,
tptp_fun_S_3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f1_type,type,
f1: $i ).
tff(marketplace_type,type,
marketplace: $i ).
tff(philharmonie_type,type,
philharmonie: $i ).
tff(distrib_type,type,
distrib: $i ).
tff(concert_ds_type,type,
concert_ds: $i ).
tff(part_of_type,type,
part_of: ( $i * $i ) > $o ).
tff(tptp_fun_RhoR_5_type,type,
tptp_fun_RhoR_5: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(cnt_type,type,
cnt: ( $i * $i * $i ) > $o ).
tff(decl_type,type,
decl: $i > $i ).
tff(bearer_type,type,
bearer: ( $i * $i ) > $o ).
tff(subjection_type,type,
subjection: $i > $o ).
tff(tptp_fun_Pw_4_type,type,
tptp_fun_Pw_4: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(power_type,type,
power: $i > $o ).
tff(founds_rem_type,type,
founds_rem: ( $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(has_rem_type,type,
has_rem: $i > $o ).
tff(proh_type,type,
proh: $i > $o ).
tff(1,plain,
( activates(e1,f1)
<=> activates(e1,f1) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
activates(e1,f1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_e1_f1) ).
tff(3,plain,
activates(e1,f1),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( tgt(f1,concert_ds)
<=> tgt(f1,concert_ds) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
tgt(f1,concert_ds),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tgt_f1) ).
tff(6,plain,
tgt(f1,concert_ds),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( act(f1,distrib)
<=> act(f1,distrib) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
act(f1,distrib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_f1) ).
tff(9,plain,
act(f1,distrib),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
( aer(f1,philharmonie)
<=> aer(f1,philharmonie) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
aer(f1,philharmonie),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aer_f1) ).
tff(12,plain,
aer(f1,philharmonie),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
( aee(f1,marketplace)
<=> aee(f1,marketplace) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
aee(f1,marketplace),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aee_f1) ).
tff(15,plain,
aee(f1,marketplace),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( has_rem(f1)
<=> has_rem(f1) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
has_rem(f1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rem_f1) ).
tff(18,plain,
has_rem(f1),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( proh(f1)
<=> proh(f1) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,axiom,
proh(f1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proh_f1) ).
tff(21,plain,
proh(f1),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
^ [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
refl(( ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
<=> ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) ) )),
inference(bind,[status(th)],[]) ).
tff(23,plain,
( ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
<=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,plain,
^ [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
<=> ~ ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F) ) )),
( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
<=> ~ ~ ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F) ) )),
rewrite(( ~ ~ ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F) )
<=> ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F) ) )),
( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
<=> ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F) ) )),
rewrite(( ( founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
& power(tptp_fun_Pw_4(E,T,A,Y,X,F))
& bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
& cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
& subjection(tptp_fun_S_3(E,T,A,Y,X,F))
& bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
& cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) )
<=> ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )),
( ( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ( founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
& power(tptp_fun_Pw_4(E,T,A,Y,X,F))
& bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
& cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
& subjection(tptp_fun_S_3(E,T,A,Y,X,F))
& bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
& cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
<=> ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) ) )),
rewrite(( ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
<=> ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) ) )),
( ( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ( founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
& power(tptp_fun_Pw_4(E,T,A,Y,X,F))
& bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
& cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
& subjection(tptp_fun_S_3(E,T,A,Y,X,F))
& bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
& cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
<=> ( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) ) )),
inference(bind,[status(th)],[]) ).
tff(25,plain,
( ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ( founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
& power(tptp_fun_Pw_4(E,T,A,Y,X,F))
& bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
& cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
& subjection(tptp_fun_S_3(E,T,A,Y,X,F))
& bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
& cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
<=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) )
<=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,plain,
^ [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( proh(F)
& has_rem(F)
& aee(F,X) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X) ) )),
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y) ) )),
rewrite(( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y) ) )),
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y) ) )),
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A) ) )),
rewrite(( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A) ) )),
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A) ) )),
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T) ) )),
rewrite(( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T) ) )),
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T) ) )),
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) ) )),
rewrite(( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) ) )),
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
<=> ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) ) )),
quant_intro(proof_bind(^ [RhoR: $i,Pw: $i,S: $i] :
trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T) ) )),
rewrite(( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR) ) )),
rewrite(( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S) ) )),
rewrite(( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X) ) )),
rewrite(( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T) ) )),
rewrite(( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) )),
rewrite(( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) )),
( ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) )
<=> ( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) ))),
( ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) )
<=> ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) )),
( ( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
=> ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) )
<=> ( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
=> ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) ) )),
rewrite(( ( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
=> ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) )
<=> ( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) ) )),
( ( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
=> ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) )
<=> ( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) ) )),
inference(bind,[status(th)],[]) ).
tff(28,plain,
( ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
=> ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) )
<=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,axiom,
! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
=> ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_proh_relator_remedy) ).
tff(30,plain,
! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(E,RhoR,F)
& power(Pw)
& bearer(Pw,Y)
& cnt(Pw,decl(A),T)
& part_of(Pw,RhoR)
& subjection(S)
& bearer(S,X)
& cnt(S,decl(A),T)
& part_of(S,RhoR) ) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ ( proh(F)
& has_rem(F)
& aee(F,X)
& aer(F,Y)
& act(F,A)
& tgt(F,T)
& activates(E,F) )
| ( founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
& power(tptp_fun_Pw_4(E,T,A,Y,X,F))
& bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
& cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
& subjection(tptp_fun_S_3(E,T,A,Y,X,F))
& bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
& cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
& part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) ),
inference(modus_ponens,[status(thm)],[32,25]) ).
tff(34,plain,
! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) ),
inference(modus_ponens,[status(thm)],[33,23]) ).
tff(35,plain,
( ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,philharmonie)
| ~ aee(f1,marketplace)
| ~ proh(f1)
| ~ has_rem(f1)
| ~ ( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ) )
<=> ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,philharmonie)
| ~ aee(f1,marketplace)
| ~ proh(f1)
| ~ has_rem(f1)
| ~ ( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,plain,
( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,philharmonie)
| ~ aee(f1,marketplace)
| ~ proh(f1)
| ~ has_rem(f1)
| ~ ( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(37,plain,
( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i,E: $i] :
( ~ activates(E,F)
| ~ tgt(F,T)
| ~ act(F,A)
| ~ aer(F,Y)
| ~ aee(F,X)
| ~ proh(F)
| ~ has_rem(F)
| ~ ( ~ founds_rem(E,tptp_fun_RhoR_5(E,T,A,Y,X,F),F)
| ~ power(tptp_fun_Pw_4(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_Pw_4(E,T,A,Y,X,F),Y)
| ~ cnt(tptp_fun_Pw_4(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_Pw_4(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F))
| ~ subjection(tptp_fun_S_3(E,T,A,Y,X,F))
| ~ bearer(tptp_fun_S_3(E,T,A,Y,X,F),X)
| ~ cnt(tptp_fun_S_3(E,T,A,Y,X,F),decl(A),T)
| ~ part_of(tptp_fun_S_3(E,T,A,Y,X,F),tptp_fun_RhoR_5(E,T,A,Y,X,F)) ) )
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,philharmonie)
| ~ aee(f1,marketplace)
| ~ proh(f1)
| ~ has_rem(f1)
| ~ ( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
~ ( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ),
inference(unit_resolution,[status(thm)],[37,34,21,18,15,12,9,6,3]) ).
tff(39,plain,
( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ),
inference(tautology,[status(thm)],[]) ).
tff(40,plain,
part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1)),
inference(unit_resolution,[status(thm)],[39,38]) ).
tff(41,plain,
( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds) ),
inference(tautology,[status(thm)],[]) ).
tff(42,plain,
cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds),
inference(unit_resolution,[status(thm)],[41,38]) ).
tff(43,plain,
( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ),
inference(tautology,[status(thm)],[]) ).
tff(44,plain,
subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1)),
inference(unit_resolution,[status(thm)],[43,38]) ).
tff(45,plain,
( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1) ),
inference(tautology,[status(thm)],[]) ).
tff(46,plain,
founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1),
inference(unit_resolution,[status(thm)],[45,38]) ).
tff(47,plain,
^ [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
refl(( ( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
<=> ( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ) )),
inference(bind,[status(th)],[]) ).
tff(48,plain,
( ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
<=> ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ) ),
inference(quant_intro,[status(thm)],[47]) ).
tff(49,plain,
^ [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
<=> ~ ( ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ) )),
( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
<=> ~ ~ ( ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ) )),
rewrite(( ~ ~ ( ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
<=> ( ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ) )),
( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
<=> ( ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ) )),
( ( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) )
<=> ( ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S)
| about_event(S,E) ) )),
rewrite(( ( ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S)
| about_event(S,E) )
<=> ( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ) )),
( ( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) )
<=> ( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ) )),
inference(bind,[status(th)],[]) ).
tff(50,plain,
( ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) )
<=> ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ) ),
inference(quant_intro,[status(thm)],[49]) ).
tff(51,plain,
( ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) )
<=> ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(52,plain,
^ [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho) )
<=> ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho) ) )),
( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
<=> ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) ) )),
rewrite(( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
<=> ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) ) )),
( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
<=> ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) ) )),
( ( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
=> about_event(S,E) )
<=> ( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
=> about_event(S,E) ) )),
rewrite(( ( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
=> about_event(S,E) )
<=> ( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) ) )),
( ( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
=> about_event(S,E) )
<=> ( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) ) )),
inference(bind,[status(th)],[]) ).
tff(53,plain,
( ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
=> about_event(S,E) )
<=> ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) ) ),
inference(quant_intro,[status(thm)],[52]) ).
tff(54,axiom,
! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
=> about_event(S,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_B3) ).
tff(55,plain,
! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) ),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) ),
inference(modus_ponens,[status(thm)],[55,51]) ).
tff(57,plain,
! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
| about_event(S,E) ),
inference(skolemize,[status(sab)],[56]) ).
tff(58,plain,
! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ),
inference(modus_ponens,[status(thm)],[57,50]) ).
tff(59,plain,
! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) ),
inference(modus_ponens,[status(thm)],[58,48]) ).
tff(60,plain,
( ( ~ ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) )
<=> ( ~ ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,plain,
( ( about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1)) )
<=> ( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,plain,
( ( ~ ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
| about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1)) )
<=> ( ~ ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(monotonicity,[status(thm)],[61]) ).
tff(63,plain,
( ( ~ ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
| about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1)) )
<=> ( ~ ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(transitivity,[status(thm)],[62,60]) ).
tff(64,plain,
( ~ ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
| about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(65,plain,
( ~ ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(S,E)
| ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ founds_rem(E,Rho,R)
| ~ subjection(S) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1),
inference(unit_resolution,[status(thm)],[65,59,46,44,42,40]) ).
tff(67,plain,
( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ),
inference(tautology,[status(thm)],[]) ).
tff(68,plain,
part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1)),
inference(unit_resolution,[status(thm)],[67,38]) ).
tff(69,plain,
( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds) ),
inference(tautology,[status(thm)],[]) ).
tff(70,plain,
cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds),
inference(unit_resolution,[status(thm)],[69,38]) ).
tff(71,plain,
( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1)) ),
inference(tautology,[status(thm)],[]) ).
tff(72,plain,
power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1)),
inference(unit_resolution,[status(thm)],[71,38]) ).
tff(73,plain,
^ [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
refl(( ( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
<=> ( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ) )),
inference(bind,[status(th)],[]) ).
tff(74,plain,
( ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
<=> ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ) ),
inference(quant_intro,[status(thm)],[73]) ).
tff(75,plain,
^ [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
<=> ~ ( ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ) )),
( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
<=> ~ ~ ( ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ) )),
rewrite(( ~ ~ ( ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
<=> ( ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ) )),
( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
<=> ( ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ) )),
( ( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) )
<=> ( ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R)
| about_event(Pw,E) ) )),
rewrite(( ( ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R)
| about_event(Pw,E) )
<=> ( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ) )),
( ( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) )
<=> ( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ) )),
inference(bind,[status(th)],[]) ).
tff(76,plain,
( ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) )
<=> ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ) ),
inference(quant_intro,[status(thm)],[75]) ).
tff(77,plain,
( ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) )
<=> ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(78,plain,
^ [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho) )
<=> ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho) ) )),
( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
<=> ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) ) )),
rewrite(( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
<=> ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) ) )),
( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
<=> ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) ) )),
( ( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
=> about_event(Pw,E) )
<=> ( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
=> about_event(Pw,E) ) )),
rewrite(( ( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
=> about_event(Pw,E) )
<=> ( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) ) )),
( ( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
=> about_event(Pw,E) )
<=> ( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) ) )),
inference(bind,[status(th)],[]) ).
tff(79,plain,
( ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
=> about_event(Pw,E) )
<=> ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) ) ),
inference(quant_intro,[status(thm)],[78]) ).
tff(80,axiom,
! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
=> about_event(Pw,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_B2) ).
tff(81,plain,
! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) ),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) ),
inference(modus_ponens,[status(thm)],[81,77]) ).
tff(83,plain,
! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ~ ( power(Pw)
& cnt(Pw,decl(A),T)
& part_of(Pw,Rho)
& founds_rem(E,Rho,R) )
| about_event(Pw,E) ),
inference(skolemize,[status(sab)],[82]) ).
tff(84,plain,
! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ),
inference(modus_ponens,[status(thm)],[83,76]) ).
tff(85,plain,
! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) ),
inference(modus_ponens,[status(thm)],[84,74]) ).
tff(86,plain,
( ( ~ ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) )
<=> ( ~ ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(87,plain,
( ( about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1) )
<=> ( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(88,plain,
( ( ~ ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
| about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1) )
<=> ( ~ ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(monotonicity,[status(thm)],[87]) ).
tff(89,plain,
( ( ~ ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
| about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1) )
<=> ( ~ ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(transitivity,[status(thm)],[88,86]) ).
tff(90,plain,
( ~ ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
| about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1) ),
inference(quant_inst,[status(thm)],[]) ).
tff(91,plain,
( ~ ! [Pw: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( about_event(Pw,E)
| ~ power(Pw)
| ~ cnt(Pw,decl(A),T)
| ~ part_of(Pw,Rho)
| ~ founds_rem(E,Rho,R) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1),
inference(unit_resolution,[status(thm)],[91,85,46,72,70,68]) ).
tff(93,plain,
( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace) ),
inference(tautology,[status(thm)],[]) ).
tff(94,plain,
bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace),
inference(unit_resolution,[status(thm)],[93,38]) ).
tff(95,plain,
( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie) ),
inference(tautology,[status(thm)],[]) ).
tff(96,plain,
bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie),
inference(unit_resolution,[status(thm)],[95,38]) ).
tff(97,plain,
^ [RhoR: $i,Pw: $i,S: $i] :
refl(( ( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
<=> ( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) ) )),
inference(bind,[status(th)],[]) ).
tff(98,plain,
( ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
<=> ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) ) ),
inference(quant_intro,[status(thm)],[97]) ).
tff(99,plain,
^ [RhoR: $i,Pw: $i,S: $i] :
trans(monotonicity(rewrite(( ( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) )
<=> ~ ( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) ) )),
( ~ ( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) )
<=> ~ ~ ( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) ) )),
rewrite(( ~ ~ ( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
<=> ( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) ) )),
( ~ ( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) )
<=> ( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) ) )),
inference(bind,[status(th)],[]) ).
tff(100,plain,
( ! [RhoR: $i,Pw: $i,S: $i] :
~ ( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) )
<=> ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) ) ),
inference(quant_intro,[status(thm)],[99]) ).
tff(101,plain,
( ~ ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) )
<=> ~ ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(102,plain,
( ~ ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) )
<=> ~ ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(103,axiom,
~ ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
tff(104,plain,
~ ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ),
inference(modus_ponens,[status(thm)],[103,102]) ).
tff(105,plain,
~ ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ),
inference(modus_ponens,[status(thm)],[104,101]) ).
tff(106,plain,
~ ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ),
inference(modus_ponens,[status(thm)],[105,101]) ).
tff(107,plain,
~ ? [RhoR: $i,Pw: $i,S: $i] :
( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ),
inference(modus_ponens,[status(thm)],[106,101]) ).
tff(108,plain,
^ [RhoR: $i,Pw: $i,S: $i] :
refl($oeq(~ ( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ),
~ ( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ))),
inference(bind,[status(th)],[]) ).
tff(109,plain,
! [RhoR: $i,Pw: $i,S: $i] :
~ ( founds_rem(e1,RhoR,f1)
& power(Pw)
& bearer(Pw,philharmonie)
& cnt(Pw,decl(distrib),concert_ds)
& part_of(Pw,RhoR)
& about_event(Pw,e1)
& subjection(S)
& bearer(S,marketplace)
& cnt(S,decl(distrib),concert_ds)
& part_of(S,RhoR)
& about_event(S,e1) ),
inference(nnf-neg,[status(sab)],[107,108]) ).
tff(110,plain,
! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) ),
inference(modus_ponens,[status(thm)],[109,100]) ).
tff(111,plain,
! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) ),
inference(modus_ponens,[status(thm)],[110,98]) ).
tff(112,plain,
( ( ~ ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) )
<=> ( ~ ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(113,plain,
( ( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) )
<=> ( ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(114,plain,
( ( ~ ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) )
<=> ( ~ ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(monotonicity,[status(thm)],[113]) ).
tff(115,plain,
( ( ~ ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) )
<=> ( ~ ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ) ),
inference(transitivity,[status(thm)],[114,112]) ).
tff(116,plain,
( ~ ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ),
inference(quant_inst,[status(thm)],[]) ).
tff(117,plain,
( ~ ! [RhoR: $i,Pw: $i,S: $i] :
( ~ founds_rem(e1,RhoR,f1)
| ~ power(Pw)
| ~ bearer(Pw,philharmonie)
| ~ cnt(Pw,decl(distrib),concert_ds)
| ~ part_of(Pw,RhoR)
| ~ about_event(Pw,e1)
| ~ subjection(S)
| ~ bearer(S,marketplace)
| ~ cnt(S,decl(distrib),concert_ds)
| ~ part_of(S,RhoR)
| ~ about_event(S,e1) )
| ~ founds_rem(e1,tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1),f1)
| ~ power(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),philharmonie)
| ~ cnt(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ subjection(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ bearer(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),marketplace)
| ~ cnt(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),decl(distrib),concert_ds)
| ~ part_of(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),tptp_fun_RhoR_5(e1,concert_ds,distrib,philharmonie,marketplace,f1))
| ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ),
inference(modus_ponens,[status(thm)],[116,115]) ).
tff(118,plain,
( ~ about_event(tptp_fun_S_3(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1)
| ~ about_event(tptp_fun_Pw_4(e1,concert_ds,distrib,philharmonie,marketplace,f1),e1) ),
inference(unit_resolution,[status(thm)],[117,111,46,72,96,70,68,44,94,42,40]) ).
tff(119,plain,
$false,
inference(unit_resolution,[status(thm)],[118,92,66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT113+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.06/0.34 % Computer : n003.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Mon Sep 7 14:09:11 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 % SZS output start Proof
% See solution above
% 0.21/0.47 % E exiting
%------------------------------------------------------------------------------