%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR027+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:01:16 AM UTC 2025
% Result : Theorem 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 48
% Syntax : Number of formulae : 114 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 640 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 904 ( 430 ~; 329 |; 62 &)
% ( 67 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 52 ( 52 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 213 ( 178 !; 9 ?; 213 :)
% Comments :
%------------------------------------------------------------------------------
tff(isa_type,type,
isa: ( $i * $i ) > $o ).
tff(c_tptpcol_16_31868_type,type,
c_tptpcol_16_31868: $i ).
tff(f_relationallexistsfn_type,type,
f_relationallexistsfn: ( $i * $i * $i * $i ) > $i ).
tff(f_subcollectionofwithrelationfromtypefn_type,type,
f_subcollectionofwithrelationfromtypefn: ( $i * $i * $i ) > $i ).
tff(c_movement_translationevent_type,type,
c_movement_translationevent: $i ).
tff(c_directionoftranslation_throughout_type,type,
c_directionoftranslation_throughout: $i ).
tff(c_unitvectorinterval_type,type,
c_unitvectorinterval: $i ).
tff(c_tptp_8_875_type,type,
c_tptp_8_875: $i ).
tff(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786_type,type,
c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786: $i ).
tff(relationallexists_type,type,
relationallexists: ( $i * $i * $i ) > $o ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptp_member2610_mt_type,type,
c_tptp_member2610_mt: $i ).
tff(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
tff(tptp_8_875_type,type,
tptp_8_875: ( $i * $i ) > $o ).
tff(tptpcol_16_31868_type,type,
tptpcol_16_31868: $i > $o ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $o ).
tff(1,plain,
( isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
<=> isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
tff(3,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [X: $i] :
refl(( ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) )
<=> ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [X: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) )
<=> ! [X: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
^ [X: $i] :
rewrite(( ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) )
<=> ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ) )),
inference(bind,[status(th)],[]) ).
tff(7,plain,
( ! [X: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) )
<=> ! [X: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ) ),
inference(quant_intro,[status(thm)],[6]) ).
tff(8,plain,
( ~ ? [X: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) )
<=> ~ ? [X: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,plain,
( ~ ? [X: $i] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) )
<=> ~ ? [X: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,axiom,
~ ? [X: $i] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).
tff(11,plain,
~ ? [X: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ),
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
~ ? [X: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ),
inference(modus_ponens,[status(thm)],[11,8]) ).
tff(13,plain,
~ ? [X: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ),
inference(modus_ponens,[status(thm)],[12,8]) ).
tff(14,plain,
~ ? [X: $i] :
( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ),
inference(modus_ponens,[status(thm)],[13,8]) ).
tff(15,plain,
^ [X: $i] :
refl($oeq(~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ),
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ))),
inference(bind,[status(th)],[]) ).
tff(16,plain,
! [X: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ),
inference(nnf-neg,[status(sab)],[14,15]) ).
tff(17,plain,
! [X: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ),
inference(modus_ponens,[status(thm)],[16,7]) ).
tff(18,plain,
! [X: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ),
inference(modus_ponens,[status(thm)],[17,5]) ).
tff(19,plain,
( ~ ! [X: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) )
| ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(c_directionoftranslation_throughout)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_directionoftranslation_throughout) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(20,plain,
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(c_directionoftranslation_throughout)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_directionoftranslation_throughout) ) ),
inference(unit_resolution,[status(thm)],[19,18]) ).
tff(21,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(c_directionoftranslation_throughout)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_directionoftranslation_throughout) )
| mtvisible(c_tptp_spindlecollectormt) ),
inference(tautology,[status(thm)],[]) ).
tff(22,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(unit_resolution,[status(thm)],[21,20]) ).
tff(23,plain,
^ [SPECMT: $i,GENLMT: $i] :
refl(( ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
inference(bind,[status(th)],[]) ).
tff(24,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,plain,
^ [SPECMT: $i,GENLMT: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ~ ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
rewrite(( ~ ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) )
<=> ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ( mtvisible(GENLMT)
| ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
rewrite(( ( mtvisible(GENLMT)
| ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
( ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
inference(bind,[status(th)],[]) ).
tff(26,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(28,plain,
^ [SPECMT: $i,GENLMT: $i] :
rewrite(( ( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) )
<=> ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) )),
inference(bind,[status(th)],[]) ).
tff(29,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
tff(31,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[31,27]) ).
tff(33,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[32]) ).
tff(34,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[33,26]) ).
tff(35,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[34,24]) ).
tff(36,plain,
( genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt)
<=> genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
tff(38,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,plain,
( ( mtvisible(c_tptp_member2610_mt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) )
<=> ( mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2610_mt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) ) ),
inference(monotonicity,[status(thm)],[40]) ).
tff(42,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2610_mt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) ) ),
inference(transitivity,[status(thm)],[41,39]) ).
tff(43,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2610_mt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(44,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
( mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(unit_resolution,[status(thm)],[44,38,35]) ).
tff(46,plain,
mtvisible(c_tptp_member2610_mt),
inference(unit_resolution,[status(thm)],[45,22]) ).
tff(47,plain,
( ( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) )
<=> ( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,plain,
( ( mtvisible(c_tptp_member2610_mt)
=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) )
<=> ( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,axiom,
( mtvisible(c_tptp_member2610_mt)
=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
tff(50,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(modus_ponens,[status(thm)],[49,48]) ).
tff(51,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(modus_ponens,[status(thm)],[50,47]) ).
tff(52,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(unit_resolution,[status(thm)],[51,46]) ).
tff(53,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
refl(( ( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(54,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) ),
inference(quant_intro,[status(thm)],[53]) ).
tff(55,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ~ ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
rewrite(( ~ ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
( ( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ) )),
rewrite(( ( ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
( ( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(56,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ) ),
inference(quant_intro,[status(thm)],[55]) ).
tff(57,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(58,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
rewrite(( ( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(59,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ) ),
inference(quant_intro,[status(thm)],[58]) ).
tff(60,axiom,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
tff(61,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
inference(modus_ponens,[status(thm)],[61,57]) ).
tff(63,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
inference(skolemize,[status(sab)],[62]) ).
tff(64,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ),
inference(modus_ponens,[status(thm)],[63,56]) ).
tff(65,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) ),
inference(modus_ponens,[status(thm)],[64,54]) ).
tff(66,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(67,plain,
( ( isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) )
<=> ( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ) ),
inference(monotonicity,[status(thm)],[67]) ).
tff(69,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ) ),
inference(transitivity,[status(thm)],[68,66]) ).
tff(70,plain,
( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(quant_inst,[status(thm)],[]) ).
tff(71,plain,
( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),
inference(unit_resolution,[status(thm)],[71,65,52,3]) ).
tff(73,plain,
( ~ ! [X: $i] :
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) )
| ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(74,plain,
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) ),
inference(unit_resolution,[status(thm)],[73,18]) ).
tff(75,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| ~ ( ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
| ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(tautology,[status(thm)],[]) ).
tff(76,plain,
( ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(unit_resolution,[status(thm)],[75,74]) ).
tff(77,plain,
^ [TERM: $i] :
refl(( ( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
<=> ( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) )),
inference(bind,[status(th)],[]) ).
tff(78,plain,
( ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
<=> ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) ),
inference(quant_intro,[status(thm)],[77]) ).
tff(79,plain,
^ [TERM: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
<=> ~ ( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) )),
( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
<=> ~ ~ ( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) )),
rewrite(( ~ ~ ( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
<=> ( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) )),
( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
<=> ( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) )),
( ( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
<=> ( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) )),
rewrite(( ( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
<=> ( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) )),
( ( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
<=> ( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) )),
inference(bind,[status(th)],[]) ).
tff(80,plain,
( ! [TERM: $i] :
( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
<=> ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) ),
inference(quant_intro,[status(thm)],[79]) ).
tff(81,plain,
( ! [TERM: $i] :
( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
<=> ! [TERM: $i] :
( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(82,plain,
^ [TERM: $i] :
rewrite(( ( ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
=> tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
<=> ( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) )),
inference(bind,[status(th)],[]) ).
tff(83,plain,
( ! [TERM: $i] :
( ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
=> tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
<=> ! [TERM: $i] :
( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) ),
inference(quant_intro,[status(thm)],[82]) ).
tff(84,axiom,
! [TERM: $i] :
( ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
=> tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
tff(85,plain,
! [TERM: $i] :
( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(modus_ponens,[status(thm)],[84,83]) ).
tff(86,plain,
! [TERM: $i] :
( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(modus_ponens,[status(thm)],[85,81]) ).
tff(87,plain,
! [TERM: $i] :
( ~ ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(skolemize,[status(sab)],[86]) ).
tff(88,plain,
! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(modus_ponens,[status(thm)],[87,80]) ).
tff(89,plain,
! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(modus_ponens,[status(thm)],[88,78]) ).
tff(90,plain,
( ( ~ ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
<=> ( ~ ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(91,plain,
( ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
<=> ( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(92,plain,
( ( ~ ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
<=> ( ~ ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) ),
inference(monotonicity,[status(thm)],[91]) ).
tff(93,plain,
( ( ~ ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
<=> ( ~ ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ) ),
inference(transitivity,[status(thm)],[92,90]) ).
tff(94,plain,
( ~ ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(95,plain,
( ~ ! [TERM: $i] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(modus_ponens,[status(thm)],[94,93]) ).
tff(96,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(unit_resolution,[status(thm)],[95,89,3]) ).
tff(97,plain,
tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(unit_resolution,[status(thm)],[96,46]) ).
tff(98,plain,
( ~ ( ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
| ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(tautology,[status(thm)],[]) ).
tff(99,plain,
( ~ ( ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) )
| ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(unit_resolution,[status(thm)],[98,97]) ).
tff(100,plain,
~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(unit_resolution,[status(thm)],[99,76]) ).
tff(101,plain,
^ [X: $i] :
refl(( ( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) )
<=> ( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ) )),
inference(bind,[status(th)],[]) ).
tff(102,plain,
( ! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) )
<=> ! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ) ),
inference(quant_intro,[status(thm)],[101]) ).
tff(103,plain,
( ! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) )
<=> ! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(104,plain,
^ [X: $i] :
rewrite(( ( isa(X,c_tptpcol_16_31868)
=> tptpcol_16_31868(X) )
<=> ( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ) )),
inference(bind,[status(th)],[]) ).
tff(105,plain,
( ! [X: $i] :
( isa(X,c_tptpcol_16_31868)
=> tptpcol_16_31868(X) )
<=> ! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ) ),
inference(quant_intro,[status(thm)],[104]) ).
tff(106,axiom,
! [X: $i] :
( isa(X,c_tptpcol_16_31868)
=> tptpcol_16_31868(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
tff(107,plain,
! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ),
inference(modus_ponens,[status(thm)],[107,103]) ).
tff(109,plain,
! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ),
inference(skolemize,[status(sab)],[108]) ).
tff(110,plain,
! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ),
inference(modus_ponens,[status(thm)],[109,102]) ).
tff(111,plain,
( ( ~ ! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) )
| tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) )
<=> ( ~ ! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) )
| tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(112,plain,
( ~ ! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) )
| tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) ),
inference(quant_inst,[status(thm)],[]) ).
tff(113,plain,
( ~ ! [X: $i] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) )
| tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) ),
inference(modus_ponens,[status(thm)],[112,111]) ).
tff(114,plain,
$false,
inference(unit_resolution,[status(thm)],[113,110,100,72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR027+1 : TPTP v9.0.0. Released v3.4.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 12:28:09 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % SZS output start Proof
% See solution above
% 0.20/0.43 % E exiting
%------------------------------------------------------------------------------