%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR039+3 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 05:01:24 AM UTC 2025
% Result : Theorem 21.59s 21.78s
% Output : Proof 21.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 148
% Syntax : Number of formulae : 297 ( 93 unt; 0 typ; 0 def)
% Number of atoms : 1643 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 2433 (1133 ~;1085 |; 48 &)
% ( 153 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 46 ( 46 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 30 con; 0-2 aty)
% Number of variables : 712 ( 684 !; 0 ?; 712 :)
% Comments :
%------------------------------------------------------------------------------
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_tptpcol_1_65536_type,type,
c_tptpcol_1_65536: $i ).
tff(c_tptpcol_15_93775_type,type,
c_tptpcol_15_93775: $i ).
tff(c_tptpcol_7_93186_type,type,
c_tptpcol_7_93186: $i ).
tff(c_tptpcol_4_90113_type,type,
c_tptpcol_4_90113: $i ).
tff(c_tptpcol_3_81921_type,type,
c_tptpcol_3_81921: $i ).
tff(c_tptpcol_2_65537_type,type,
c_tptpcol_2_65537: $i ).
tff(c_tptpcol_5_90114_type,type,
c_tptpcol_5_90114: $i ).
tff(c_tptpcol_6_92162_type,type,
c_tptpcol_6_92162: $i ).
tff(c_tptpcol_11_93764_type,type,
c_tptpcol_11_93764: $i ).
tff(c_tptpcol_13_93766_type,type,
c_tptpcol_13_93766: $i ).
tff(c_tptpcol_14_93774_type,type,
c_tptpcol_14_93774: $i ).
tff(c_tptpcol_12_93765_type,type,
c_tptpcol_12_93765: $i ).
tff(c_tptpcol_9_93699_type,type,
c_tptpcol_9_93699: $i ).
tff(c_tptpcol_10_93700_type,type,
c_tptpcol_10_93700: $i ).
tff(c_tptpcol_8_93698_type,type,
c_tptpcol_8_93698: $i ).
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptpcol_1_1_type,type,
c_tptpcol_1_1: $i ).
tff(c_tptpcol_8_18438_type,type,
c_tptpcol_8_18438: $i ).
tff(c_tptpcol_12_18663_type,type,
c_tptpcol_12_18663: $i ).
tff(c_tptpcol_13_18664_type,type,
c_tptpcol_13_18664: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(f_contentmtofcdafromeventfn_type,type,
f_contentmtofcdafromeventfn: ( $i * $i ) > $i ).
tff(c_translation_7_type,type,
c_translation_7: $i ).
tff(f_urlreferentfn_type,type,
f_urlreferentfn: $i > $i ).
tff(f_urlfn_type,type,
f_urlfn: $i > $i ).
tff(s_http_wwwpoweripodsearchinfobrown_ipodhtml_type,type,
s_http_wwwpoweripodsearchinfobrown_ipodhtml: $i ).
tff(c_tptpcol_10_18567_type,type,
c_tptpcol_10_18567: $i ).
tff(c_tptpcol_9_18439_type,type,
c_tptpcol_9_18439: $i ).
tff(c_tptpcol_11_18631_type,type,
c_tptpcol_11_18631: $i ).
tff(c_tptpcol_5_16388_type,type,
c_tptpcol_5_16388: $i ).
tff(c_tptpcol_3_16386_type,type,
c_tptpcol_3_16386: $i ).
tff(c_tptpcol_4_16387_type,type,
c_tptpcol_4_16387: $i ).
tff(c_tptpcol_2_2_type,type,
c_tptpcol_2_2: $i ).
tff(c_tptpcol_7_18437_type,type,
c_tptpcol_7_18437: $i ).
tff(c_tptpcol_6_18436_type,type,
c_tptpcol_6_18436: $i ).
tff(1,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
rewrite(( ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) ) )),
rewrite(( ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(3,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[2]) ).
tff(4,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(( ( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) )),
inference(bind,[status(th)],[]) ).
tff(6,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7995) ).
tff(8,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(skolemize,[status(sab)],[9]) ).
tff(11,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[11,1]) ).
tff(13,plain,
( genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
<=> genls(c_tptpcol_2_65537,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_867) ).
tff(15,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_tptpcol_3_81921,c_tptpcol_2_65537)
<=> genls(c_tptpcol_3_81921,c_tptpcol_2_65537) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_593) ).
tff(18,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537) )
<=> ( ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(22,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[21,19]) ).
tff(23,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537) ),
inference(quant_inst,[status(thm)],[]) ).
tff(24,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
genls(c_tptpcol_3_81921,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[24,18,15,12]) ).
tff(26,plain,
( genls(c_tptpcol_4_90113,c_tptpcol_3_81921)
<=> genls(c_tptpcol_4_90113,c_tptpcol_3_81921) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3629) ).
tff(28,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921)
| genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921)
| genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,plain,
( ( genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921) )
<=> ( ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921)
| genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921)
| genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[30]) ).
tff(32,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921)
| genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[31,29]) ).
tff(33,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921) ),
inference(quant_inst,[status(thm)],[]) ).
tff(34,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_3_81921)
| genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
genls(c_tptpcol_4_90113,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[34,28,12,25]) ).
tff(36,plain,
( genls(c_tptpcol_6_92162,c_tptpcol_5_90114)
<=> genls(c_tptpcol_6_92162,c_tptpcol_5_90114) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1694) ).
tff(38,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( genls(c_tptpcol_7_93186,c_tptpcol_6_92162)
<=> genls(c_tptpcol_7_93186,c_tptpcol_6_92162) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,axiom,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_537) ).
tff(41,plain,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_6_92162) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_6_92162) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_6_92162) ),
inference(quant_inst,[status(thm)],[]) ).
tff(44,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_6_92162) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
genls(c_tptpcol_7_93186,c_tptpcol_5_90114),
inference(unit_resolution,[status(thm)],[44,41,38,12]) ).
tff(46,plain,
( genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
<=> genls(c_tptpcol_5_90114,c_tptpcol_4_90113) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1942) ).
tff(48,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,plain,
( ( genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114) )
<=> ( ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
inference(monotonicity,[status(thm)],[50]) ).
tff(52,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
inference(transitivity,[status(thm)],[51,49]) ).
tff(53,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114) ),
inference(quant_inst,[status(thm)],[]) ).
tff(54,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_5_90114)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
genls(c_tptpcol_7_93186,c_tptpcol_4_90113),
inference(unit_resolution,[status(thm)],[54,48,12,45]) ).
tff(56,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(57,plain,
( ( genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113) )
<=> ( ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(58,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[57]) ).
tff(59,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[58,56]) ).
tff(60,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ),
inference(quant_inst,[status(thm)],[]) ).
tff(61,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
genls(c_tptpcol_7_93186,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[61,12,55,35]) ).
tff(63,plain,
( genls(c_tptpcol_15_93775,c_tptpcol_14_93774)
<=> genls(c_tptpcol_15_93775,c_tptpcol_14_93774) ),
inference(rewrite,[status(thm)],[]) ).
tff(64,axiom,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2762) ).
tff(65,plain,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
( genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
<=> genls(c_tptpcol_14_93774,c_tptpcol_13_93766) ),
inference(rewrite,[status(thm)],[]) ).
tff(67,axiom,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2210) ).
tff(68,plain,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
inference(modus_ponens,[status(thm)],[67,66]) ).
tff(69,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(70,plain,
( ( genls(c_tptpcol_15_93775,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774) )
<=> ( ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(71,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ) ),
inference(monotonicity,[status(thm)],[70]) ).
tff(72,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ) ),
inference(transitivity,[status(thm)],[71,69]) ).
tff(73,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774) ),
inference(quant_inst,[status(thm)],[]) ).
tff(74,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774)
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ),
inference(modus_ponens,[status(thm)],[73,72]) ).
tff(75,plain,
genls(c_tptpcol_15_93775,c_tptpcol_13_93766),
inference(unit_resolution,[status(thm)],[74,68,65,12]) ).
tff(76,plain,
( genls(c_tptpcol_13_93766,c_tptpcol_12_93765)
<=> genls(c_tptpcol_13_93766,c_tptpcol_12_93765) ),
inference(rewrite,[status(thm)],[]) ).
tff(77,axiom,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_661) ).
tff(78,plain,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
( genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
<=> genls(c_tptpcol_12_93765,c_tptpcol_11_93764) ),
inference(rewrite,[status(thm)],[]) ).
tff(80,axiom,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_539) ).
tff(81,plain,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(83,plain,
( ( genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) )
<=> ( ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(84,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) ) ),
inference(monotonicity,[status(thm)],[83]) ).
tff(85,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) ) ),
inference(transitivity,[status(thm)],[84,82]) ).
tff(86,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) ),
inference(quant_inst,[status(thm)],[]) ).
tff(87,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
| genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_12_93765) ),
inference(modus_ponens,[status(thm)],[86,85]) ).
tff(88,plain,
genls(c_tptpcol_13_93766,c_tptpcol_11_93764),
inference(unit_resolution,[status(thm)],[87,81,78,12]) ).
tff(89,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(90,plain,
( ( genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) )
<=> ( ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(91,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ) ),
inference(monotonicity,[status(thm)],[90]) ).
tff(92,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ) ),
inference(transitivity,[status(thm)],[91,89]) ).
tff(93,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ),
inference(quant_inst,[status(thm)],[]) ).
tff(94,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_93766,c_tptpcol_11_93764)
| genls(c_tptpcol_15_93775,c_tptpcol_11_93764)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_13_93766) ),
inference(modus_ponens,[status(thm)],[93,92]) ).
tff(95,plain,
genls(c_tptpcol_15_93775,c_tptpcol_11_93764),
inference(unit_resolution,[status(thm)],[94,12,88,75]) ).
tff(96,plain,
( genls(c_tptpcol_10_93700,c_tptpcol_9_93699)
<=> genls(c_tptpcol_10_93700,c_tptpcol_9_93699) ),
inference(rewrite,[status(thm)],[]) ).
tff(97,axiom,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2958) ).
tff(98,plain,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
inference(modus_ponens,[status(thm)],[97,96]) ).
tff(99,plain,
( genls(c_tptpcol_11_93764,c_tptpcol_10_93700)
<=> genls(c_tptpcol_11_93764,c_tptpcol_10_93700) ),
inference(rewrite,[status(thm)],[]) ).
tff(100,axiom,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_635) ).
tff(101,plain,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(103,plain,
( ( genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700) )
<=> ( ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(104,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699) ) ),
inference(monotonicity,[status(thm)],[103]) ).
tff(105,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699) ) ),
inference(transitivity,[status(thm)],[104,102]) ).
tff(106,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700) ),
inference(quant_inst,[status(thm)],[]) ).
tff(107,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
genls(c_tptpcol_11_93764,c_tptpcol_9_93699),
inference(unit_resolution,[status(thm)],[107,101,98,12]) ).
tff(109,plain,
( genls(c_tptpcol_8_93698,c_tptpcol_7_93186)
<=> genls(c_tptpcol_8_93698,c_tptpcol_7_93186) ),
inference(rewrite,[status(thm)],[]) ).
tff(110,axiom,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2964) ).
tff(111,plain,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
( genls(c_tptpcol_9_93699,c_tptpcol_8_93698)
<=> genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ),
inference(rewrite,[status(thm)],[]) ).
tff(113,axiom,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_281) ).
tff(114,plain,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
inference(modus_ponens,[status(thm)],[113,112]) ).
tff(115,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_8_93698,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_8_93698,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(116,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_8_93698,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ),
inference(quant_inst,[status(thm)],[]) ).
tff(117,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_8_93698,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ),
inference(modus_ponens,[status(thm)],[116,115]) ).
tff(118,plain,
genls(c_tptpcol_9_93699,c_tptpcol_7_93186),
inference(unit_resolution,[status(thm)],[117,114,111,12]) ).
tff(119,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(120,plain,
( ( genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) )
<=> ( ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(121,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) ) ),
inference(monotonicity,[status(thm)],[120]) ).
tff(122,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) ) ),
inference(transitivity,[status(thm)],[121,119]) ).
tff(123,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) ),
inference(quant_inst,[status(thm)],[]) ).
tff(124,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_9_93699) ),
inference(modus_ponens,[status(thm)],[123,122]) ).
tff(125,plain,
genls(c_tptpcol_11_93764,c_tptpcol_7_93186),
inference(unit_resolution,[status(thm)],[124,12,118,108]) ).
tff(126,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(127,plain,
( ( genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) )
<=> ( ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(128,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) ) ),
inference(monotonicity,[status(thm)],[127]) ).
tff(129,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) ) ),
inference(transitivity,[status(thm)],[128,126]) ).
tff(130,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) ),
inference(quant_inst,[status(thm)],[]) ).
tff(131,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_93764,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_11_93764) ),
inference(modus_ponens,[status(thm)],[130,129]) ).
tff(132,plain,
genls(c_tptpcol_15_93775,c_tptpcol_7_93186),
inference(unit_resolution,[status(thm)],[131,12,125,95]) ).
tff(133,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(134,plain,
( ( genls(c_tptpcol_15_93775,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186) )
<=> ( ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(135,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[134]) ).
tff(136,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[135,133]) ).
tff(137,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_93775,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186) ),
inference(quant_inst,[status(thm)],[]) ).
tff(138,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_93186,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_7_93186)
| genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[137,136]) ).
tff(139,plain,
genls(c_tptpcol_15_93775,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[138,12,132,62]) ).
tff(140,plain,
( ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
<=> ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
inference(rewrite,[status(thm)],[]) ).
tff(141,plain,
( ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
=> disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) )
<=> ~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(142,axiom,
~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
=> disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query139) ).
tff(143,plain,
~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
inference(modus_ponens,[status(thm)],[142,141]) ).
tff(144,plain,
~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
inference(or_elim,[status(thm)],[143]) ).
tff(145,plain,
~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
inference(modus_ponens,[status(thm)],[144,140]) ).
tff(146,plain,
^ [X: $i,Y: $i] :
refl(( ( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(147,plain,
( ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(quant_intro,[status(thm)],[146]) ).
tff(148,plain,
( ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(149,plain,
^ [X: $i,Y: $i] :
rewrite(( ( disjointwith(X,Y)
=> disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(150,plain,
( ! [X: $i,Y: $i] :
( disjointwith(X,Y)
=> disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(quant_intro,[status(thm)],[149]) ).
tff(151,axiom,
! [X: $i,Y: $i] :
( disjointwith(X,Y)
=> disjointwith(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7584) ).
tff(152,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[151,150]) ).
tff(153,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[152,148]) ).
tff(154,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(skolemize,[status(sab)],[153]) ).
tff(155,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[154,147]) ).
tff(156,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775)
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775)
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(157,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775)
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
inference(quant_inst,[status(thm)],[]) ).
tff(158,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775)
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
inference(modus_ponens,[status(thm)],[157,156]) ).
tff(159,plain,
~ disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775),
inference(unit_resolution,[status(thm)],[158,155,145]) ).
tff(160,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
refl(( ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(161,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) ),
inference(quant_intro,[status(thm)],[160]) ).
tff(162,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ~ ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
rewrite(( ~ ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD)
| disjointwith(NEW,ARG2) ) )),
rewrite(( ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD)
| disjointwith(NEW,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) )),
( ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(163,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) ),
inference(quant_intro,[status(thm)],[162]) ).
tff(164,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(165,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
rewrite(( ( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) )
<=> ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(166,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ) ),
inference(quant_intro,[status(thm)],[165]) ).
tff(167,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7586) ).
tff(168,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[167,166]) ).
tff(169,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[168,164]) ).
tff(170,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(skolemize,[status(sab)],[169]) ).
tff(171,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(modus_ponens,[status(thm)],[170,163]) ).
tff(172,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(modus_ponens,[status(thm)],[171,161]) ).
tff(173,plain,
( genls(c_tptpcol_13_18664,c_tptpcol_12_18663)
<=> genls(c_tptpcol_13_18664,c_tptpcol_12_18663) ),
inference(rewrite,[status(thm)],[]) ).
tff(174,axiom,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2137) ).
tff(175,plain,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
inference(modus_ponens,[status(thm)],[174,173]) ).
tff(176,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663)
| ~ disjointwith(c_tptpcol_12_18663,c_tptpcol_15_93775) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663)
| ~ disjointwith(c_tptpcol_12_18663,c_tptpcol_15_93775) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(177,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663)
| ~ disjointwith(c_tptpcol_12_18663,c_tptpcol_15_93775) ),
inference(quant_inst,[status(thm)],[]) ).
tff(178,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663)
| ~ disjointwith(c_tptpcol_12_18663,c_tptpcol_15_93775) ),
inference(modus_ponens,[status(thm)],[177,176]) ).
tff(179,plain,
~ disjointwith(c_tptpcol_12_18663,c_tptpcol_15_93775),
inference(unit_resolution,[status(thm)],[178,175,172,159]) ).
tff(180,plain,
( genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
<=> genls(c_tptpcol_9_18439,c_tptpcol_8_18438) ),
inference(rewrite,[status(thm)],[]) ).
tff(181,axiom,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3518) ).
tff(182,plain,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
inference(modus_ponens,[status(thm)],[181,180]) ).
tff(183,plain,
( genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
<=> genls(c_tptpcol_10_18567,c_tptpcol_9_18439) ),
inference(rewrite,[status(thm)],[]) ).
tff(184,axiom,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_740) ).
tff(185,plain,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
inference(modus_ponens,[status(thm)],[184,183]) ).
tff(186,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_10_18567,c_tptpcol_8_18438) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(187,plain,
( ( genls(c_tptpcol_10_18567,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439) )
<=> ( ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(188,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_18567,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ) ),
inference(monotonicity,[status(thm)],[187]) ).
tff(189,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_18567,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ) ),
inference(transitivity,[status(thm)],[188,186]) ).
tff(190,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_18567,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439) ),
inference(quant_inst,[status(thm)],[]) ).
tff(191,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ),
inference(modus_ponens,[status(thm)],[190,189]) ).
tff(192,plain,
genls(c_tptpcol_10_18567,c_tptpcol_8_18438),
inference(unit_resolution,[status(thm)],[191,185,182,12]) ).
tff(193,plain,
( genls(c_tptpcol_11_18631,c_tptpcol_10_18567)
<=> genls(c_tptpcol_11_18631,c_tptpcol_10_18567) ),
inference(rewrite,[status(thm)],[]) ).
tff(194,axiom,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3301) ).
tff(195,plain,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
inference(modus_ponens,[status(thm)],[194,193]) ).
tff(196,plain,
( genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
<=> genls(c_tptpcol_12_18663,c_tptpcol_11_18631) ),
inference(rewrite,[status(thm)],[]) ).
tff(197,axiom,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_668) ).
tff(198,plain,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
inference(modus_ponens,[status(thm)],[197,196]) ).
tff(199,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(200,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631) ),
inference(quant_inst,[status(thm)],[]) ).
tff(201,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631) ),
inference(modus_ponens,[status(thm)],[200,199]) ).
tff(202,plain,
genls(c_tptpcol_12_18663,c_tptpcol_10_18567),
inference(unit_resolution,[status(thm)],[201,198,195,12]) ).
tff(203,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(204,plain,
( ( genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567) )
<=> ( ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(205,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ) ),
inference(monotonicity,[status(thm)],[204]) ).
tff(206,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ) ),
inference(transitivity,[status(thm)],[205,203]) ).
tff(207,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567) ),
inference(quant_inst,[status(thm)],[]) ).
tff(208,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_10_18567)
| genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_8_18438) ),
inference(modus_ponens,[status(thm)],[207,206]) ).
tff(209,plain,
genls(c_tptpcol_12_18663,c_tptpcol_8_18438),
inference(unit_resolution,[status(thm)],[208,12,202,192]) ).
tff(210,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_18663,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ disjointwith(c_tptpcol_8_18438,c_tptpcol_15_93775) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_18663,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ disjointwith(c_tptpcol_8_18438,c_tptpcol_15_93775) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(211,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_18663,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ disjointwith(c_tptpcol_8_18438,c_tptpcol_15_93775) ),
inference(quant_inst,[status(thm)],[]) ).
tff(212,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_18663,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_8_18438)
| ~ disjointwith(c_tptpcol_8_18438,c_tptpcol_15_93775) ),
inference(modus_ponens,[status(thm)],[211,210]) ).
tff(213,plain,
~ disjointwith(c_tptpcol_8_18438,c_tptpcol_15_93775),
inference(unit_resolution,[status(thm)],[212,172,209,179]) ).
tff(214,plain,
( genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
<=> genls(c_tptpcol_5_16388,c_tptpcol_4_16387) ),
inference(rewrite,[status(thm)],[]) ).
tff(215,axiom,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_910) ).
tff(216,plain,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
inference(modus_ponens,[status(thm)],[215,214]) ).
tff(217,plain,
( genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
<=> genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ),
inference(rewrite,[status(thm)],[]) ).
tff(218,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_783) ).
tff(219,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
inference(modus_ponens,[status(thm)],[218,217]) ).
tff(220,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_5_16388,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_5_16388,c_tptpcol_3_16386) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(221,plain,
( ( genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387) )
<=> ( ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_5_16388,c_tptpcol_3_16386) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(222,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_5_16388,c_tptpcol_3_16386) ) ),
inference(monotonicity,[status(thm)],[221]) ).
tff(223,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_5_16388,c_tptpcol_3_16386) ) ),
inference(transitivity,[status(thm)],[222,220]) ).
tff(224,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387) ),
inference(quant_inst,[status(thm)],[]) ).
tff(225,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_5_16388,c_tptpcol_3_16386) ),
inference(modus_ponens,[status(thm)],[224,223]) ).
tff(226,plain,
genls(c_tptpcol_5_16388,c_tptpcol_3_16386),
inference(unit_resolution,[status(thm)],[225,219,216,12]) ).
tff(227,plain,
( genls(c_tptpcol_2_2,c_tptpcol_1_1)
<=> genls(c_tptpcol_2_2,c_tptpcol_1_1) ),
inference(rewrite,[status(thm)],[]) ).
tff(228,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3253) ).
tff(229,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(modus_ponens,[status(thm)],[228,227]) ).
tff(230,plain,
( genls(c_tptpcol_3_16386,c_tptpcol_2_2)
<=> genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(rewrite,[status(thm)],[]) ).
tff(231,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_460) ).
tff(232,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(modus_ponens,[status(thm)],[231,230]) ).
tff(233,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(234,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(quant_inst,[status(thm)],[]) ).
tff(235,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(modus_ponens,[status(thm)],[234,233]) ).
tff(236,plain,
genls(c_tptpcol_3_16386,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[235,232,229,12]) ).
tff(237,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| genls(c_tptpcol_5_16388,c_tptpcol_1_1) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| genls(c_tptpcol_5_16388,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(238,plain,
( ( genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386) )
<=> ( ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| genls(c_tptpcol_5_16388,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(239,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| genls(c_tptpcol_5_16388,c_tptpcol_1_1) ) ),
inference(monotonicity,[status(thm)],[238]) ).
tff(240,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| genls(c_tptpcol_5_16388,c_tptpcol_1_1) ) ),
inference(transitivity,[status(thm)],[239,237]) ).
tff(241,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386) ),
inference(quant_inst,[status(thm)],[]) ).
tff(242,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| genls(c_tptpcol_5_16388,c_tptpcol_1_1) ),
inference(modus_ponens,[status(thm)],[241,240]) ).
tff(243,plain,
genls(c_tptpcol_5_16388,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[242,12,236,226]) ).
tff(244,plain,
( genls(c_tptpcol_6_18436,c_tptpcol_5_16388)
<=> genls(c_tptpcol_6_18436,c_tptpcol_5_16388) ),
inference(rewrite,[status(thm)],[]) ).
tff(245,axiom,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_481) ).
tff(246,plain,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
inference(modus_ponens,[status(thm)],[245,244]) ).
tff(247,plain,
( genls(c_tptpcol_7_18437,c_tptpcol_6_18436)
<=> genls(c_tptpcol_7_18437,c_tptpcol_6_18436) ),
inference(rewrite,[status(thm)],[]) ).
tff(248,axiom,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_276) ).
tff(249,plain,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
inference(modus_ponens,[status(thm)],[248,247]) ).
tff(250,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_18437,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_18437,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(251,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_18437,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436) ),
inference(quant_inst,[status(thm)],[]) ).
tff(252,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_18437,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436) ),
inference(modus_ponens,[status(thm)],[251,250]) ).
tff(253,plain,
genls(c_tptpcol_7_18437,c_tptpcol_5_16388),
inference(unit_resolution,[status(thm)],[252,249,246,12]) ).
tff(254,plain,
( genls(c_tptpcol_8_18438,c_tptpcol_7_18437)
<=> genls(c_tptpcol_8_18438,c_tptpcol_7_18437) ),
inference(rewrite,[status(thm)],[]) ).
tff(255,axiom,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1859) ).
tff(256,plain,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
inference(modus_ponens,[status(thm)],[255,254]) ).
tff(257,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437)
| genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437)
| genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(258,plain,
( ( genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) )
<=> ( ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437)
| genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(259,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437)
| genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388) ) ),
inference(monotonicity,[status(thm)],[258]) ).
tff(260,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437)
| genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388) ) ),
inference(transitivity,[status(thm)],[259,257]) ).
tff(261,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) ),
inference(quant_inst,[status(thm)],[]) ).
tff(262,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437)
| genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_5_16388) ),
inference(modus_ponens,[status(thm)],[261,260]) ).
tff(263,plain,
genls(c_tptpcol_8_18438,c_tptpcol_5_16388),
inference(unit_resolution,[status(thm)],[262,256,12,253]) ).
tff(264,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| genls(c_tptpcol_8_18438,c_tptpcol_1_1) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| genls(c_tptpcol_8_18438,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(265,plain,
( ( genls(c_tptpcol_8_18438,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388) )
<=> ( ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| genls(c_tptpcol_8_18438,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(266,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_18438,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| genls(c_tptpcol_8_18438,c_tptpcol_1_1) ) ),
inference(monotonicity,[status(thm)],[265]) ).
tff(267,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_18438,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| genls(c_tptpcol_8_18438,c_tptpcol_1_1) ) ),
inference(transitivity,[status(thm)],[266,264]) ).
tff(268,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_18438,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388) ),
inference(quant_inst,[status(thm)],[]) ).
tff(269,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_16388,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_5_16388)
| genls(c_tptpcol_8_18438,c_tptpcol_1_1) ),
inference(modus_ponens,[status(thm)],[268,267]) ).
tff(270,plain,
genls(c_tptpcol_8_18438,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[269,12,263,243]) ).
tff(271,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_8_18438,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_1_1)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_8_18438,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_1_1)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(272,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_8_18438,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_1_1)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775) ),
inference(quant_inst,[status(thm)],[]) ).
tff(273,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_8_18438,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_1_1)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775) ),
inference(modus_ponens,[status(thm)],[272,271]) ).
tff(274,plain,
~ disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775),
inference(unit_resolution,[status(thm)],[273,172,270,213]) ).
tff(275,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
refl(( ( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
<=> ( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(276,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) ),
inference(quant_intro,[status(thm)],[275]) ).
tff(277,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
<=> ~ ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
<=> ~ ~ ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
rewrite(( ~ ~ ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
<=> ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
<=> ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD)
| disjointwith(ARG1,NEW) ) )),
rewrite(( ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD)
| disjointwith(ARG1,NEW) )
<=> ( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(278,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) ),
inference(quant_intro,[status(thm)],[277]) ).
tff(279,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(280,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(( ( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) )
<=> ( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ) )),
inference(bind,[status(th)],[]) ).
tff(281,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[280]) ).
tff(282,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7585) ).
tff(283,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[282,281]) ).
tff(284,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[283,279]) ).
tff(285,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(skolemize,[status(sab)],[284]) ).
tff(286,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[285,278]) ).
tff(287,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[286,276]) ).
tff(288,plain,
( disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
<=> disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],[]) ).
tff(289,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1248) ).
tff(290,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[289,288]) ).
tff(291,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(292,plain,
( ( disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) )
<=> ( ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(293,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[292]) ).
tff(294,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[293,291]) ).
tff(295,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ),
inference(quant_inst,[status(thm)],[]) ).
tff(296,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_15_93775)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[295,294]) ).
tff(297,plain,
$false,
inference(unit_resolution,[status(thm)],[296,290,287,274,139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR039+3 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 12:34:18 EDT 2025
% 0.11/0.33 % CPUTime :
% 21.59/21.78 % SZS status Theorem
% 21.59/21.78 % SZS output start Proof
% See solution above
% 21.87/22.04 % E exiting
%------------------------------------------------------------------------------