%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR039+1 : 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 0.41s 0.56s
% Output : Proof 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 154
% Syntax : Number of formulae : 315 ( 93 unt; 0 typ; 0 def)
% Number of atoms : 1823 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 2736 (1274 ~;1229 |; 48 &)
% ( 171 <=>; 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 : 784 ( 756 !; 0 ?; 784 :)
% Comments :
%------------------------------------------------------------------------------
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptpcol_13_18664_type,type,
c_tptpcol_13_18664: $i ).
tff(c_tptpcol_1_65536_type,type,
c_tptpcol_1_65536: $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
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_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(c_tptpcol_4_90113_type,type,
c_tptpcol_4_90113: $i ).
tff(c_tptpcol_6_92162_type,type,
c_tptpcol_6_92162: $i ).
tff(c_tptpcol_5_90114_type,type,
c_tptpcol_5_90114: $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(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_1_1_type,type,
c_tptpcol_1_1: $i ).
tff(c_tptpcol_6_18436_type,type,
c_tptpcol_6_18436: $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_12_18663_type,type,
c_tptpcol_12_18663: $i ).
tff(c_tptpcol_10_18567_type,type,
c_tptpcol_10_18567: $i ).
tff(c_tptpcol_8_18438_type,type,
c_tptpcol_8_18438: $i ).
tff(c_tptpcol_7_18437_type,type,
c_tptpcol_7_18437: $i ).
tff(c_tptpcol_4_16387_type,type,
c_tptpcol_4_16387: $i ).
tff(c_tptpcol_3_16386_type,type,
c_tptpcol_3_16386: $i ).
tff(c_tptpcol_2_2_type,type,
c_tptpcol_2_2: $i ).
tff(c_tptpcol_5_16388_type,type,
c_tptpcol_5_16388: $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/theBenchmark.p',just143) ).
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_15_93775,c_tptpcol_14_93774)
<=> genls(c_tptpcol_15_93775,c_tptpcol_14_93774) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).
tff(15,plain,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
<=> genls(c_tptpcol_14_93774,c_tptpcol_13_93766) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
tff(18,plain,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
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_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,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_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,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_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774) ) ),
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_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_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774) ) ),
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_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_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774) ) ),
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_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(24,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_93774,c_tptpcol_13_93766)
| genls(c_tptpcol_15_93775,c_tptpcol_13_93766)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_14_93774) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
genls(c_tptpcol_15_93775,c_tptpcol_13_93766),
inference(unit_resolution,[status(thm)],[24,18,15,12]) ).
tff(26,plain,
( genls(c_tptpcol_13_93766,c_tptpcol_12_93765)
<=> genls(c_tptpcol_13_93766,c_tptpcol_12_93765) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
tff(28,plain,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( genls(c_tptpcol_12_93765,c_tptpcol_11_93764)
<=> genls(c_tptpcol_12_93765,c_tptpcol_11_93764) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).
tff(31,plain,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,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(33,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(34,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)],[33]) ).
tff(35,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)],[34,32]) ).
tff(36,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(37,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)],[36,35]) ).
tff(38,plain,
genls(c_tptpcol_13_93766,c_tptpcol_11_93764),
inference(unit_resolution,[status(thm)],[37,31,28,12]) ).
tff(39,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(40,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(41,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)],[40]) ).
tff(42,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)],[41,39]) ).
tff(43,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(44,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)],[43,42]) ).
tff(45,plain,
genls(c_tptpcol_15_93775,c_tptpcol_11_93764),
inference(unit_resolution,[status(thm)],[44,12,38,25]) ).
tff(46,plain,
( genls(c_tptpcol_11_93764,c_tptpcol_10_93700)
<=> genls(c_tptpcol_11_93764,c_tptpcol_10_93700) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,axiom,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
tff(48,plain,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
( genls(c_tptpcol_10_93700,c_tptpcol_9_93699)
<=> genls(c_tptpcol_10_93700,c_tptpcol_9_93699) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,axiom,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
tff(51,plain,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699)
| genls(c_tptpcol_11_93764,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_10_93700,c_tptpcol_9_93699)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(53,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_10_93700,c_tptpcol_9_93699)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,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_10_93700,c_tptpcol_9_93699)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700) ) ),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,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_10_93700,c_tptpcol_9_93699)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700) ) ),
inference(transitivity,[status(thm)],[54,52]) ).
tff(56,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(57,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_93700,c_tptpcol_9_93699)
| genls(c_tptpcol_11_93764,c_tptpcol_9_93699)
| ~ genls(c_tptpcol_11_93764,c_tptpcol_10_93700) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
genls(c_tptpcol_11_93764,c_tptpcol_9_93699),
inference(unit_resolution,[status(thm)],[57,51,48,12]) ).
tff(59,plain,
( genls(c_tptpcol_9_93699,c_tptpcol_8_93698)
<=> genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,axiom,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
tff(61,plain,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
( genls(c_tptpcol_8_93698,c_tptpcol_7_93186)
<=> genls(c_tptpcol_8_93698,c_tptpcol_7_93186) ),
inference(rewrite,[status(thm)],[]) ).
tff(63,axiom,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
tff(64,plain,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_93698,c_tptpcol_7_93186)
| genls(c_tptpcol_9_93699,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_8_93698,c_tptpcol_7_93186)
| genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(66,plain,
( ( 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) )
<=> ( ~ genls(c_tptpcol_8_93698,c_tptpcol_7_93186)
| genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(67,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_8_93698,c_tptpcol_7_93186)
| genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ) ),
inference(monotonicity,[status(thm)],[66]) ).
tff(68,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_8_93698,c_tptpcol_7_93186)
| genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ) ),
inference(transitivity,[status(thm)],[67,65]) ).
tff(69,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(70,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_93698,c_tptpcol_7_93186)
| genls(c_tptpcol_9_93699,c_tptpcol_7_93186)
| ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698) ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
genls(c_tptpcol_9_93699,c_tptpcol_7_93186),
inference(unit_resolution,[status(thm)],[70,64,61,12]) ).
tff(72,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(73,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(74,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)],[73]) ).
tff(75,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)],[74,72]) ).
tff(76,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(77,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)],[76,75]) ).
tff(78,plain,
genls(c_tptpcol_11_93764,c_tptpcol_7_93186),
inference(unit_resolution,[status(thm)],[77,12,71,58]) ).
tff(79,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(80,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(81,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)],[80]) ).
tff(82,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)],[81,79]) ).
tff(83,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(84,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)],[83,82]) ).
tff(85,plain,
genls(c_tptpcol_15_93775,c_tptpcol_7_93186),
inference(unit_resolution,[status(thm)],[84,12,78,45]) ).
tff(86,plain,
( genls(c_tptpcol_6_92162,c_tptpcol_5_90114)
<=> genls(c_tptpcol_6_92162,c_tptpcol_5_90114) ),
inference(rewrite,[status(thm)],[]) ).
tff(87,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
tff(88,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
( genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
<=> genls(c_tptpcol_5_90114,c_tptpcol_4_90113) ),
inference(rewrite,[status(thm)],[]) ).
tff(90,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
tff(91,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,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_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,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_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(93,plain,
( ( genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114) )
<=> ( ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(94,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,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_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114) ) ),
inference(monotonicity,[status(thm)],[93]) ).
tff(95,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,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_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114) ) ),
inference(transitivity,[status(thm)],[94,92]) ).
tff(96,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114) ),
inference(quant_inst,[status(thm)],[]) ).
tff(97,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_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_5_90114) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
genls(c_tptpcol_6_92162,c_tptpcol_4_90113),
inference(unit_resolution,[status(thm)],[97,91,88,12]) ).
tff(99,plain,
( genls(c_tptpcol_7_93186,c_tptpcol_6_92162)
<=> genls(c_tptpcol_7_93186,c_tptpcol_6_92162) ),
inference(rewrite,[status(thm)],[]) ).
tff(100,axiom,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
tff(101,plain,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
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_7_93186,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| 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_7_93186,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(103,plain,
( ( genls(c_tptpcol_7_93186,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_6_92162) )
<=> ( ~ genls(c_tptpcol_7_93186,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
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_7_93186,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ 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_6_92162)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
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_7_93186,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ 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_6_92162)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
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_7_93186,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_6_92162) ),
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_7_93186,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
genls(c_tptpcol_7_93186,c_tptpcol_4_90113),
inference(unit_resolution,[status(thm)],[107,101,12,98]) ).
tff(109,plain,
( genls(c_tptpcol_3_81921,c_tptpcol_2_65537)
<=> genls(c_tptpcol_3_81921,c_tptpcol_2_65537) ),
inference(rewrite,[status(thm)],[]) ).
tff(110,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
tff(111,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
( genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
<=> genls(c_tptpcol_2_65537,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],[]) ).
tff(113,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
tff(114,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
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_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,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_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(116,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_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(117,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_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537) ) ),
inference(monotonicity,[status(thm)],[116]) ).
tff(118,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_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537) ) ),
inference(transitivity,[status(thm)],[117,115]) ).
tff(119,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(120,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_81921,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_81921,c_tptpcol_2_65537) ),
inference(modus_ponens,[status(thm)],[119,118]) ).
tff(121,plain,
genls(c_tptpcol_3_81921,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[120,114,111,12]) ).
tff(122,plain,
( genls(c_tptpcol_4_90113,c_tptpcol_3_81921)
<=> genls(c_tptpcol_4_90113,c_tptpcol_3_81921) ),
inference(rewrite,[status(thm)],[]) ).
tff(123,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
tff(124,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(modus_ponens,[status(thm)],[123,122]) ).
tff(125,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(126,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(127,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)],[126]) ).
tff(128,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)],[127,125]) ).
tff(129,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(130,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)],[129,128]) ).
tff(131,plain,
genls(c_tptpcol_4_90113,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[130,124,12,121]) ).
tff(132,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_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_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(133,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_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(134,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_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
inference(monotonicity,[status(thm)],[133]) ).
tff(135,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_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ) ),
inference(transitivity,[status(thm)],[134,132]) ).
tff(136,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(137,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_1_65536)
| ~ genls(c_tptpcol_7_93186,c_tptpcol_4_90113) ),
inference(modus_ponens,[status(thm)],[136,135]) ).
tff(138,plain,
genls(c_tptpcol_7_93186,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[137,12,131,108]) ).
tff(139,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_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(rewrite,[status(thm)],[]) ).
tff(140,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(141,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(modus_ponens,[status(thm)],[140,139]) ).
tff(142,plain,
genls(c_tptpcol_15_93775,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[141,12,138,85]) ).
tff(143,plain,
( ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
<=> ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
inference(rewrite,[status(thm)],[]) ).
tff(144,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(145,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',query39) ).
tff(146,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)],[145,144]) ).
tff(147,plain,
~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
inference(or_elim,[status(thm)],[146]) ).
tff(148,plain,
~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
inference(modus_ponens,[status(thm)],[147,143]) ).
tff(149,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
refl(( ( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
<=> ( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(150,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) ),
inference(quant_intro,[status(thm)],[149]) ).
tff(151,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)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(152,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)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) ),
inference(quant_intro,[status(thm)],[151]) ).
tff(153,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(154,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(155,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)],[154]) ).
tff(156,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just78) ).
tff(157,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[156,155]) ).
tff(158,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[157,153]) ).
tff(159,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(skolemize,[status(sab)],[158]) ).
tff(160,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[159,152]) ).
tff(161,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[160,150]) ).
tff(162,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(163,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ),
inference(quant_inst,[status(thm)],[]) ).
tff(164,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[163,162]) ).
tff(165,plain,
~ disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664),
inference(unit_resolution,[status(thm)],[164,161,148,142]) ).
tff(166,plain,
( genls(c_tptpcol_13_18664,c_tptpcol_12_18663)
<=> genls(c_tptpcol_13_18664,c_tptpcol_12_18663) ),
inference(rewrite,[status(thm)],[]) ).
tff(167,axiom,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
tff(168,plain,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
inference(modus_ponens,[status(thm)],[167,166]) ).
tff(169,plain,
( genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
<=> genls(c_tptpcol_12_18663,c_tptpcol_11_18631) ),
inference(rewrite,[status(thm)],[]) ).
tff(170,axiom,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
tff(171,plain,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
inference(modus_ponens,[status(thm)],[170,169]) ).
tff(172,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(173,plain,
( ( genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) )
<=> ( ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(174,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) ) ),
inference(monotonicity,[status(thm)],[173]) ).
tff(175,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) ) ),
inference(transitivity,[status(thm)],[174,172]) ).
tff(176,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) ),
inference(quant_inst,[status(thm)],[]) ).
tff(177,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_18663,c_tptpcol_11_18631)
| genls(c_tptpcol_13_18664,c_tptpcol_11_18631)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_12_18663) ),
inference(modus_ponens,[status(thm)],[176,175]) ).
tff(178,plain,
genls(c_tptpcol_13_18664,c_tptpcol_11_18631),
inference(unit_resolution,[status(thm)],[177,171,168,12]) ).
tff(179,plain,
( genls(c_tptpcol_11_18631,c_tptpcol_10_18567)
<=> genls(c_tptpcol_11_18631,c_tptpcol_10_18567) ),
inference(rewrite,[status(thm)],[]) ).
tff(180,axiom,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
tff(181,plain,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
inference(modus_ponens,[status(thm)],[180,179]) ).
tff(182,plain,
( genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
<=> genls(c_tptpcol_10_18567,c_tptpcol_9_18439) ),
inference(rewrite,[status(thm)],[]) ).
tff(183,axiom,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
tff(184,plain,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
inference(modus_ponens,[status(thm)],[183,182]) ).
tff(185,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(186,plain,
( ( genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) )
<=> ( ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(187,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) ) ),
inference(monotonicity,[status(thm)],[186]) ).
tff(188,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) ) ),
inference(transitivity,[status(thm)],[187,185]) ).
tff(189,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_10_18567,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) ),
inference(quant_inst,[status(thm)],[]) ).
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_9_18439)
| genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_10_18567) ),
inference(modus_ponens,[status(thm)],[189,188]) ).
tff(191,plain,
genls(c_tptpcol_11_18631,c_tptpcol_9_18439),
inference(unit_resolution,[status(thm)],[190,184,181,12]) ).
tff(192,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(193,plain,
( ( genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) )
<=> ( ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(194,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) ) ),
inference(monotonicity,[status(thm)],[193]) ).
tff(195,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) ) ),
inference(transitivity,[status(thm)],[194,192]) ).
tff(196,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) ),
inference(quant_inst,[status(thm)],[]) ).
tff(197,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_18631,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_11_18631) ),
inference(modus_ponens,[status(thm)],[196,195]) ).
tff(198,plain,
genls(c_tptpcol_13_18664,c_tptpcol_9_18439),
inference(unit_resolution,[status(thm)],[197,12,191,178]) ).
tff(199,plain,
( genls(c_tptpcol_8_18438,c_tptpcol_7_18437)
<=> genls(c_tptpcol_8_18438,c_tptpcol_7_18437) ),
inference(rewrite,[status(thm)],[]) ).
tff(200,axiom,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).
tff(201,plain,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
inference(modus_ponens,[status(thm)],[200,199]) ).
tff(202,plain,
( genls(c_tptpcol_7_18437,c_tptpcol_6_18436)
<=> genls(c_tptpcol_7_18437,c_tptpcol_6_18436) ),
inference(rewrite,[status(thm)],[]) ).
tff(203,axiom,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).
tff(204,plain,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
inference(modus_ponens,[status(thm)],[203,202]) ).
tff(205,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436)
| genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ 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_7_18437,c_tptpcol_6_18436)
| genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(206,plain,
( ( genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) )
<=> ( ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436)
| genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(207,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436)
| ~ 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_7_18437,c_tptpcol_6_18436)
| genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) ) ),
inference(monotonicity,[status(thm)],[206]) ).
tff(208,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436)
| ~ 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_7_18437,c_tptpcol_6_18436)
| genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) ) ),
inference(transitivity,[status(thm)],[207,205]) ).
tff(209,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) ),
inference(quant_inst,[status(thm)],[]) ).
tff(210,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_18437,c_tptpcol_6_18436)
| genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_7_18437) ),
inference(modus_ponens,[status(thm)],[209,208]) ).
tff(211,plain,
genls(c_tptpcol_8_18438,c_tptpcol_6_18436),
inference(unit_resolution,[status(thm)],[210,204,201,12]) ).
tff(212,plain,
( genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
<=> genls(c_tptpcol_9_18439,c_tptpcol_8_18438) ),
inference(rewrite,[status(thm)],[]) ).
tff(213,axiom,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).
tff(214,plain,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
inference(modus_ponens,[status(thm)],[213,212]) ).
tff(215,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_8_18438,c_tptpcol_6_18436)
| genls(c_tptpcol_9_18439,c_tptpcol_6_18436) )
<=> ( ~ ! [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_8_18438,c_tptpcol_6_18436)
| genls(c_tptpcol_9_18439,c_tptpcol_6_18436) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(216,plain,
( ( genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438) )
<=> ( ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| genls(c_tptpcol_9_18439,c_tptpcol_6_18436) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(217,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_9_18439,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_8_18438,c_tptpcol_6_18436)
| genls(c_tptpcol_9_18439,c_tptpcol_6_18436) ) ),
inference(monotonicity,[status(thm)],[216]) ).
tff(218,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_9_18439,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_8_18438,c_tptpcol_6_18436)
| genls(c_tptpcol_9_18439,c_tptpcol_6_18436) ) ),
inference(transitivity,[status(thm)],[217,215]) ).
tff(219,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_8_18438,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_8_18438) ),
inference(quant_inst,[status(thm)],[]) ).
tff(220,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_8_18438,c_tptpcol_6_18436)
| genls(c_tptpcol_9_18439,c_tptpcol_6_18436) ),
inference(modus_ponens,[status(thm)],[219,218]) ).
tff(221,plain,
genls(c_tptpcol_9_18439,c_tptpcol_6_18436),
inference(unit_resolution,[status(thm)],[220,214,12,211]) ).
tff(222,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_6_18436) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(223,plain,
( ( genls(c_tptpcol_13_18664,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_9_18439) )
<=> ( ~ genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(224,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_13_18664,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_6_18436)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ) ),
inference(monotonicity,[status(thm)],[223]) ).
tff(225,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_13_18664,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_6_18436)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ) ),
inference(transitivity,[status(thm)],[224,222]) ).
tff(226,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_9_18439) ),
inference(quant_inst,[status(thm)],[]) ).
tff(227,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_18439,c_tptpcol_6_18436)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_9_18439)
| genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ),
inference(modus_ponens,[status(thm)],[226,225]) ).
tff(228,plain,
genls(c_tptpcol_13_18664,c_tptpcol_6_18436),
inference(unit_resolution,[status(thm)],[227,12,221,198]) ).
tff(229,plain,
( genls(c_tptpcol_3_16386,c_tptpcol_2_2)
<=> genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(rewrite,[status(thm)],[]) ).
tff(230,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
tff(231,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(modus_ponens,[status(thm)],[230,229]) ).
tff(232,plain,
( genls(c_tptpcol_2_2,c_tptpcol_1_1)
<=> genls(c_tptpcol_2_2,c_tptpcol_1_1) ),
inference(rewrite,[status(thm)],[]) ).
tff(233,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
tff(234,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(modus_ponens,[status(thm)],[233,232]) ).
tff(235,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| genls(c_tptpcol_3_16386,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_2_2,c_tptpcol_1_1)
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(236,plain,
( ( 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) )
<=> ( ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(237,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_2_2,c_tptpcol_1_1)
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ) ),
inference(monotonicity,[status(thm)],[236]) ).
tff(238,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_2_2,c_tptpcol_1_1)
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ) ),
inference(transitivity,[status(thm)],[237,235]) ).
tff(239,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(240,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(modus_ponens,[status(thm)],[239,238]) ).
tff(241,plain,
genls(c_tptpcol_3_16386,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[240,234,231,12]) ).
tff(242,plain,
( genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
<=> genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ),
inference(rewrite,[status(thm)],[]) ).
tff(243,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
tff(244,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
inference(modus_ponens,[status(thm)],[243,242]) ).
tff(245,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(246,plain,
( ( genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) )
<=> ( ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(247,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ) ),
inference(monotonicity,[status(thm)],[246]) ).
tff(248,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ) ),
inference(transitivity,[status(thm)],[247,245]) ).
tff(249,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ),
inference(quant_inst,[status(thm)],[]) ).
tff(250,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ),
inference(modus_ponens,[status(thm)],[249,248]) ).
tff(251,plain,
genls(c_tptpcol_4_16387,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[250,244,12,241]) ).
tff(252,plain,
( genls(c_tptpcol_6_18436,c_tptpcol_5_16388)
<=> genls(c_tptpcol_6_18436,c_tptpcol_5_16388) ),
inference(rewrite,[status(thm)],[]) ).
tff(253,axiom,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
tff(254,plain,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
inference(modus_ponens,[status(thm)],[253,252]) ).
tff(255,plain,
( genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
<=> genls(c_tptpcol_5_16388,c_tptpcol_4_16387) ),
inference(rewrite,[status(thm)],[]) ).
tff(256,axiom,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
tff(257,plain,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
inference(modus_ponens,[status(thm)],[256,255]) ).
tff(258,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_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,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_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(259,plain,
( ( genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388) )
<=> ( ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(260,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,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_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388) ) ),
inference(monotonicity,[status(thm)],[259]) ).
tff(261,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,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_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388) ) ),
inference(transitivity,[status(thm)],[260,258]) ).
tff(262,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_5_16388,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388) ),
inference(quant_inst,[status(thm)],[]) ).
tff(263,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_6_18436,c_tptpcol_4_16387)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388) ),
inference(modus_ponens,[status(thm)],[262,261]) ).
tff(264,plain,
genls(c_tptpcol_6_18436,c_tptpcol_4_16387),
inference(unit_resolution,[status(thm)],[263,257,254,12]) ).
tff(265,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(266,plain,
( ( genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387) )
<=> ( ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(267,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1) ) ),
inference(monotonicity,[status(thm)],[266]) ).
tff(268,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1) ) ),
inference(transitivity,[status(thm)],[267,265]) ).
tff(269,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387) ),
inference(quant_inst,[status(thm)],[]) ).
tff(270,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_4_16387)
| genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_1_1) ),
inference(modus_ponens,[status(thm)],[269,268]) ).
tff(271,plain,
genls(c_tptpcol_6_18436,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[270,12,264,251]) ).
tff(272,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(273,plain,
( ( genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) )
<=> ( ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(274,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ) ),
inference(monotonicity,[status(thm)],[273]) ).
tff(275,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ) ),
inference(transitivity,[status(thm)],[274,272]) ).
tff(276,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ),
inference(quant_inst,[status(thm)],[]) ).
tff(277,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_18436,c_tptpcol_1_1)
| genls(c_tptpcol_13_18664,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_6_18436) ),
inference(modus_ponens,[status(thm)],[276,275]) ).
tff(278,plain,
genls(c_tptpcol_13_18664,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[277,12,271,228]) ).
tff(279,plain,
^ [X: $i,Y: $i] :
refl(( ( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(280,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)],[279]) ).
tff(281,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(282,plain,
^ [X: $i,Y: $i] :
rewrite(( ( disjointwith(X,Y)
=> disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(283,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)],[282]) ).
tff(284,axiom,
! [X: $i,Y: $i] :
( disjointwith(X,Y)
=> disjointwith(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just76) ).
tff(285,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[284,283]) ).
tff(286,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[285,281]) ).
tff(287,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(skolemize,[status(sab)],[286]) ).
tff(288,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[287,280]) ).
tff(289,plain,
( disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
<=> disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],[]) ).
tff(290,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).
tff(291,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[290,289]) ).
tff(292,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(293,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1) ),
inference(quant_inst,[status(thm)],[]) ).
tff(294,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1) ),
inference(modus_ponens,[status(thm)],[293,292]) ).
tff(295,plain,
disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[294,291,288]) ).
tff(296,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(297,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)],[296]) ).
tff(298,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(299,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)],[298]) ).
tff(300,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(301,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(302,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)],[301]) ).
tff(303,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just77) ).
tff(304,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[303,302]) ).
tff(305,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[304,300]) ).
tff(306,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(skolemize,[status(sab)],[305]) ).
tff(307,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[306,299]) ).
tff(308,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[307,297]) ).
tff(309,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(310,plain,
( ( disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) )
<=> ( ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(311,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) ) ),
inference(monotonicity,[status(thm)],[310]) ).
tff(312,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) ) ),
inference(transitivity,[status(thm)],[311,309]) ).
tff(313,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) ),
inference(quant_inst,[status(thm)],[]) ).
tff(314,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1)
| disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664)
| ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) ),
inference(modus_ponens,[status(thm)],[313,312]) ).
tff(315,plain,
$false,
inference(unit_resolution,[status(thm)],[314,308,295,278,165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR039+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.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 12:34:48 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.41/0.56 % SZS status Theorem
% 0.41/0.56 % SZS output start Proof
% See solution above
% 0.43/0.60 % E exiting
%------------------------------------------------------------------------------