%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR070+3 : 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 05:01:45 AM UTC 2025
% Result : Theorem 5.53s 5.70s
% Output : Proof 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 41
% Syntax : Number of formulae : 94 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 383 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 472 ( 206 ~; 184 |; 16 &)
% ( 47 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 23 ( 23 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 186 ( 164 !; 0 ?; 186 :)
% Comments :
%------------------------------------------------------------------------------
tff(tptptypes_8_823_type,type,
tptptypes_8_823: ( $i * $i ) > $o ).
tff(c_tptpcol_16_8886_type,type,
c_tptpcol_16_8886: $i ).
tff(f_subcollectionofwithrelationfromtypefn_type,type,
f_subcollectionofwithrelationfromtypefn: ( $i * $i * $i ) > $i ).
tff(c_partiallytangible_type,type,
c_partiallytangible: $i ).
tff(c_orientation_type,type,
c_orientation: $i ).
tff(c_orientationvector_type,type,
c_orientationvector: $i ).
tff(tptptypes_9_824_type,type,
tptptypes_9_824: ( $i * $i ) > $o ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptp_member2668_mt_type,type,
c_tptp_member2668_mt: $i ).
tff(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
tff(tptptypes_5_802_type,type,
tptptypes_5_802: ( $i * $i ) > $o ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $o ).
tff(tptptypes_7_819_type,type,
tptptypes_7_819: ( $i * $i ) > $o ).
tff(tptptypes_6_818_type,type,
tptptypes_6_818: ( $i * $i ) > $o ).
tff(1,plain,
^ [ARG1: $i,ARG2: $i] :
refl(( ( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) )
<=> ( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(( ( tptptypes_9_824(ARG1,ARG2)
=> tptptypes_8_823(ARG1,ARG2) )
<=> ( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_9_824(ARG1,ARG2)
=> tptptypes_8_823(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_9_824(ARG1,ARG2)
=> tptptypes_8_823(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2254) ).
tff(7,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( mtvisible(c_tptp_spindlecollectormt)
<=> mtvisible(c_tptp_spindlecollectormt) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )
<=> ~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query170) ).
tff(14,plain,
~ ( ~ mtvisible(c_tptp_spindlecollectormt)
| tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(or_elim,[status(thm)],[14]) ).
tff(16,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,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(18,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)],[17]) ).
tff(19,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(20,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)],[19]) ).
tff(21,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(22,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(23,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)],[22]) ).
tff(24,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
tff(25,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[26]) ).
tff(28,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[27,20]) ).
tff(29,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[28,18]) ).
tff(30,plain,
( genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
<=> genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_254) ).
tff(32,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,plain,
( ( mtvisible(c_tptp_member2668_mt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) )
<=> ( mtvisible(c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2668_mt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) ) ),
inference(monotonicity,[status(thm)],[34]) ).
tff(36,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2668_mt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) ) ),
inference(transitivity,[status(thm)],[35,33]) ).
tff(37,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2668_mt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(38,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
mtvisible(c_tptp_member2668_mt),
inference(unit_resolution,[status(thm)],[38,32,29,16]) ).
tff(40,plain,
( ( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )
<=> ( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,plain,
( ( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )
<=> ( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(42,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_602) ).
tff(43,plain,
( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(modus_ponens,[status(thm)],[43,40]) ).
tff(45,plain,
tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(unit_resolution,[status(thm)],[44,39]) ).
tff(46,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) )
| ~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) )
| ~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) )
| ~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(quant_inst,[status(thm)],[]) ).
tff(48,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_9_824(ARG1,ARG2)
| tptptypes_8_823(ARG1,ARG2) )
| ~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(unit_resolution,[status(thm)],[48,45,10]) ).
tff(50,plain,
( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
<=> ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(or_elim,[status(thm)],[14]) ).
tff(52,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
^ [ARG1: $i,ARG2: $i] :
refl(( ( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) )
<=> ( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(54,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[53]) ).
tff(55,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(56,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(( ( tptptypes_6_818(ARG1,ARG2)
=> tptptypes_5_802(ARG1,ARG2) )
<=> ( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(57,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_6_818(ARG1,ARG2)
=> tptptypes_5_802(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_6_818(ARG1,ARG2)
=> tptptypes_5_802(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1876) ).
tff(59,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[59,55]) ).
tff(61,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[60]) ).
tff(62,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[61,54]) ).
tff(63,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) )
| ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) )
| ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(64,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) )
| ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(quant_inst,[status(thm)],[]) ).
tff(65,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_6_818(ARG1,ARG2)
| tptptypes_5_802(ARG1,ARG2) )
| ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(unit_resolution,[status(thm)],[65,62,52]) ).
tff(67,plain,
^ [ARG1: $i,ARG2: $i] :
refl(( ( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) )
<=> ( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(68,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[67]) ).
tff(69,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(70,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(( ( tptptypes_7_819(ARG1,ARG2)
=> tptptypes_6_818(ARG1,ARG2) )
<=> ( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(71,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_7_819(ARG1,ARG2)
=> tptptypes_6_818(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[70]) ).
tff(72,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_7_819(ARG1,ARG2)
=> tptptypes_6_818(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_596) ).
tff(73,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[72,71]) ).
tff(74,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[73,69]) ).
tff(75,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[74]) ).
tff(76,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[75,68]) ).
tff(77,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) )
| ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) )
| ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(78,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) )
| ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(quant_inst,[status(thm)],[]) ).
tff(79,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_7_819(ARG1,ARG2)
| tptptypes_6_818(ARG1,ARG2) )
| ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(modus_ponens,[status(thm)],[78,77]) ).
tff(80,plain,
~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(unit_resolution,[status(thm)],[79,76,66]) ).
tff(81,plain,
^ [ARG1: $i,ARG2: $i] :
refl(( ( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) )
<=> ( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(82,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[81]) ).
tff(83,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(84,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(( ( tptptypes_8_823(ARG1,ARG2)
=> tptptypes_7_819(ARG1,ARG2) )
<=> ( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(85,plain,
( ! [ARG1: $i,ARG2: $i] :
( tptptypes_8_823(ARG1,ARG2)
=> tptptypes_7_819(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[84]) ).
tff(86,axiom,
! [ARG1: $i,ARG2: $i] :
( tptptypes_8_823(ARG1,ARG2)
=> tptptypes_7_819(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2522) ).
tff(87,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[86,85]) ).
tff(88,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[87,83]) ).
tff(89,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[88]) ).
tff(90,plain,
! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[89,82]) ).
tff(91,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) )
| ~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) )
| ~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(92,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) )
| ~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(quant_inst,[status(thm)],[]) ).
tff(93,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ tptptypes_8_823(ARG1,ARG2)
| tptptypes_7_819(ARG1,ARG2) )
| ~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
$false,
inference(unit_resolution,[status(thm)],[93,90,80,49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR070+3 : TPTP v9.0.0. Released v3.4.0.
% 0.06/0.12 % 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 12:51:54 EDT 2025
% 0.12/0.34 % CPUTime :
% 5.53/5.70 % SZS status Theorem
% 5.53/5.70 % SZS output start Proof
% See solution above
% 5.72/5.90 % E exiting
%------------------------------------------------------------------------------