%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR049+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:01:31 AM UTC 2025
% Result : Theorem 0.59s 0.84s
% Output : Proof 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 169
% Syntax : Number of formulae : 344 ( 102 unt; 0 typ; 0 def)
% Number of atoms : 2040 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 3102 (1450 ~;1405 |; 48 &)
% ( 188 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 44 ( 44 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; 33 con; 0-0 aty)
% Number of variables : 858 ( 834 !; 0 ?; 858 :)
% Comments :
%------------------------------------------------------------------------------
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptpcol_16_92269_type,type,
c_tptpcol_16_92269: $i ).
tff(c_tptpcol_8_26629_type,type,
c_tptpcol_8_26629: $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_tptpcol_16_26926_type,type,
c_tptpcol_16_26926: $i ).
tff(c_tptpcol_12_26919_type,type,
c_tptpcol_12_26919: $i ).
tff(c_tptpcol_14_26921_type,type,
c_tptpcol_14_26921: $i ).
tff(c_tptpcol_15_26925_type,type,
c_tptpcol_15_26925: $i ).
tff(c_tptpcol_13_26920_type,type,
c_tptpcol_13_26920: $i ).
tff(c_tptpcol_10_26886_type,type,
c_tptpcol_10_26886: $i ).
tff(c_tptpcol_11_26887_type,type,
c_tptpcol_11_26887: $i ).
tff(c_tptpcol_9_26885_type,type,
c_tptpcol_9_26885: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_unitedstatesgeographypeoplemt_type,type,
c_unitedstatesgeographypeoplemt: $i ).
tff(c_tptpcol_1_65536_type,type,
c_tptpcol_1_65536: $i ).
tff(c_tptpcol_1_1_type,type,
c_tptpcol_1_1: $i ).
tff(c_tptpcol_4_24578_type,type,
c_tptpcol_4_24578: $i ).
tff(c_tptpcol_6_26627_type,type,
c_tptpcol_6_26627: $i ).
tff(c_tptpcol_7_26628_type,type,
c_tptpcol_7_26628: $i ).
tff(c_tptpcol_5_24579_type,type,
c_tptpcol_5_24579: $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_8_92164_type,type,
c_tptpcol_8_92164: $i ).
tff(c_tptpcol_12_92262_type,type,
c_tptpcol_12_92262: $i ).
tff(c_tptpcol_14_92264_type,type,
c_tptpcol_14_92264: $i ).
tff(c_tptpcol_15_92268_type,type,
c_tptpcol_15_92268: $i ).
tff(c_tptpcol_13_92263_type,type,
c_tptpcol_13_92263: $i ).
tff(c_tptpcol_10_92166_type,type,
c_tptpcol_10_92166: $i ).
tff(c_tptpcol_11_92230_type,type,
c_tptpcol_11_92230: $i ).
tff(c_tptpcol_9_92165_type,type,
c_tptpcol_9_92165: $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_7_92163_type,type,
c_tptpcol_7_92163: $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(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',just159) ).
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_16_26926,c_tptpcol_15_26925)
<=> genls(c_tptpcol_16_26926,c_tptpcol_15_26925) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
genls(c_tptpcol_16_26926,c_tptpcol_15_26925),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
tff(15,plain,
genls(c_tptpcol_16_26926,c_tptpcol_15_26925),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_tptpcol_15_26925,c_tptpcol_14_26921)
<=> genls(c_tptpcol_15_26925,c_tptpcol_14_26921) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
genls(c_tptpcol_15_26925,c_tptpcol_14_26921),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
tff(18,plain,
genls(c_tptpcol_15_26925,c_tptpcol_14_26921),
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_15_26925,c_tptpcol_14_26921)
| genls(c_tptpcol_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_26925,c_tptpcol_14_26921)
| genls(c_tptpcol_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( genls(c_tptpcol_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_15_26925,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) )
<=> ( ~ genls(c_tptpcol_15_26925,c_tptpcol_14_26921)
| genls(c_tptpcol_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) ) ),
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_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_15_26925,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_26925,c_tptpcol_14_26921)
| genls(c_tptpcol_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) ) ),
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_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_15_26925,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_26925,c_tptpcol_14_26921)
| genls(c_tptpcol_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) ) ),
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_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_15_26925,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) ),
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_15_26925,c_tptpcol_14_26921)
| genls(c_tptpcol_16_26926,c_tptpcol_14_26921)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_15_26925) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
genls(c_tptpcol_16_26926,c_tptpcol_14_26921),
inference(unit_resolution,[status(thm)],[24,18,15,12]) ).
tff(26,plain,
( genls(c_tptpcol_14_26921,c_tptpcol_13_26920)
<=> genls(c_tptpcol_14_26921,c_tptpcol_13_26920) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
genls(c_tptpcol_14_26921,c_tptpcol_13_26920),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
tff(28,plain,
genls(c_tptpcol_14_26921,c_tptpcol_13_26920),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( genls(c_tptpcol_13_26920,c_tptpcol_12_26919)
<=> genls(c_tptpcol_13_26920,c_tptpcol_12_26919) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
genls(c_tptpcol_13_26920,c_tptpcol_12_26919),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
tff(31,plain,
genls(c_tptpcol_13_26920,c_tptpcol_12_26919),
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_13_26920,c_tptpcol_12_26919)
| genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_26920,c_tptpcol_12_26919)
| genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,plain,
( ( genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_13_26920,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) )
<=> ( ~ genls(c_tptpcol_13_26920,c_tptpcol_12_26919)
| genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) ) ),
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_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_13_26920,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_26920,c_tptpcol_12_26919)
| genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) ) ),
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_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_13_26920,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_26920,c_tptpcol_12_26919)
| genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) ) ),
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_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_13_26920,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) ),
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_13_26920,c_tptpcol_12_26919)
| genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_13_26920) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
genls(c_tptpcol_14_26921,c_tptpcol_12_26919),
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_14_26921,c_tptpcol_12_26919)
| genls(c_tptpcol_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| genls(c_tptpcol_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,plain,
( ( genls(c_tptpcol_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) )
<=> ( ~ genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| genls(c_tptpcol_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) ) ),
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_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| genls(c_tptpcol_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) ) ),
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_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| genls(c_tptpcol_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) ) ),
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_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_14_26921,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) ),
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_14_26921,c_tptpcol_12_26919)
| genls(c_tptpcol_16_26926,c_tptpcol_12_26919)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_14_26921) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
genls(c_tptpcol_16_26926,c_tptpcol_12_26919),
inference(unit_resolution,[status(thm)],[44,12,38,25]) ).
tff(46,plain,
( genls(c_tptpcol_12_26919,c_tptpcol_11_26887)
<=> genls(c_tptpcol_12_26919,c_tptpcol_11_26887) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,axiom,
genls(c_tptpcol_12_26919,c_tptpcol_11_26887),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
tff(48,plain,
genls(c_tptpcol_12_26919,c_tptpcol_11_26887),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
( genls(c_tptpcol_11_26887,c_tptpcol_10_26886)
<=> genls(c_tptpcol_11_26887,c_tptpcol_10_26886) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,axiom,
genls(c_tptpcol_11_26887,c_tptpcol_10_26886),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
tff(51,plain,
genls(c_tptpcol_11_26887,c_tptpcol_10_26886),
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_11_26887,c_tptpcol_10_26886)
| genls(c_tptpcol_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_26887,c_tptpcol_10_26886)
| genls(c_tptpcol_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(53,plain,
( ( genls(c_tptpcol_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_11_26887,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) )
<=> ( ~ genls(c_tptpcol_11_26887,c_tptpcol_10_26886)
| genls(c_tptpcol_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) ) ),
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_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_11_26887,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_26887,c_tptpcol_10_26886)
| genls(c_tptpcol_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) ) ),
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_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_11_26887,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_26887,c_tptpcol_10_26886)
| genls(c_tptpcol_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) ) ),
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_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_11_26887,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) ),
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_11_26887,c_tptpcol_10_26886)
| genls(c_tptpcol_12_26919,c_tptpcol_10_26886)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_11_26887) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
genls(c_tptpcol_12_26919,c_tptpcol_10_26886),
inference(unit_resolution,[status(thm)],[57,51,48,12]) ).
tff(59,plain,
( genls(c_tptpcol_10_26886,c_tptpcol_9_26885)
<=> genls(c_tptpcol_10_26886,c_tptpcol_9_26885) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,axiom,
genls(c_tptpcol_10_26886,c_tptpcol_9_26885),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
tff(61,plain,
genls(c_tptpcol_10_26886,c_tptpcol_9_26885),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
( genls(c_tptpcol_9_26885,c_tptpcol_8_26629)
<=> genls(c_tptpcol_9_26885,c_tptpcol_8_26629) ),
inference(rewrite,[status(thm)],[]) ).
tff(63,axiom,
genls(c_tptpcol_9_26885,c_tptpcol_8_26629),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).
tff(64,plain,
genls(c_tptpcol_9_26885,c_tptpcol_8_26629),
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_9_26885,c_tptpcol_8_26629)
| genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_26885,c_tptpcol_8_26629)
| genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(66,plain,
( ( genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_9_26885,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) )
<=> ( ~ genls(c_tptpcol_9_26885,c_tptpcol_8_26629)
| genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) ) ),
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_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_9_26885,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_26885,c_tptpcol_8_26629)
| genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) ) ),
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_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_9_26885,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_26885,c_tptpcol_8_26629)
| genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) ) ),
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_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_9_26885,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) ),
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_9_26885,c_tptpcol_8_26629)
| genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_9_26885) ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
genls(c_tptpcol_10_26886,c_tptpcol_8_26629),
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_10_26886,c_tptpcol_8_26629)
| genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(73,plain,
( ( genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) )
<=> ( ~ genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) ) ),
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_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) ) ),
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_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) ) ),
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_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_10_26886,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) ),
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_10_26886,c_tptpcol_8_26629)
| genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_10_26886) ),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
genls(c_tptpcol_12_26919,c_tptpcol_8_26629),
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_12_26919,c_tptpcol_8_26629)
| genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(80,plain,
( ( genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) )
<=> ( ~ genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) ) ),
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_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) ) ),
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_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) ) ),
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_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_12_26919,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) ),
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_12_26919,c_tptpcol_8_26629)
| genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_12_26919) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
genls(c_tptpcol_16_26926,c_tptpcol_8_26629),
inference(unit_resolution,[status(thm)],[84,12,78,45]) ).
tff(86,plain,
( ~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
<=> ~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ),
inference(rewrite,[status(thm)],[]) ).
tff(87,plain,
( ~ ( mtvisible(c_unitedstatesgeographypeoplemt)
=> disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) )
<=> ~ ( ~ mtvisible(c_unitedstatesgeographypeoplemt)
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(88,axiom,
~ ( mtvisible(c_unitedstatesgeographypeoplemt)
=> disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query49) ).
tff(89,plain,
~ ( ~ mtvisible(c_unitedstatesgeographypeoplemt)
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ),
inference(modus_ponens,[status(thm)],[88,87]) ).
tff(90,plain,
~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269),
inference(or_elim,[status(thm)],[89]) ).
tff(91,plain,
~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269),
inference(modus_ponens,[status(thm)],[90,86]) ).
tff(92,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(93,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)],[92]) ).
tff(94,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(95,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)],[94]) ).
tff(96,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(97,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(98,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)],[97]) ).
tff(99,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just86) ).
tff(100,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[100,96]) ).
tff(102,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(skolemize,[status(sab)],[101]) ).
tff(103,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[102,95]) ).
tff(104,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[103,93]) ).
tff(105,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(106,plain,
( ( disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629) )
<=> ( disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(107,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269) ) ),
inference(monotonicity,[status(thm)],[106]) ).
tff(108,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269) ) ),
inference(transitivity,[status(thm)],[107,105]) ).
tff(109,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629) ),
inference(quant_inst,[status(thm)],[]) ).
tff(110,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_26926,c_tptpcol_8_26629)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269) ),
inference(modus_ponens,[status(thm)],[109,108]) ).
tff(111,plain,
~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269),
inference(unit_resolution,[status(thm)],[110,104,91,85]) ).
tff(112,plain,
( genls(c_tptpcol_8_26629,c_tptpcol_7_26628)
<=> genls(c_tptpcol_8_26629,c_tptpcol_7_26628) ),
inference(rewrite,[status(thm)],[]) ).
tff(113,axiom,
genls(c_tptpcol_8_26629,c_tptpcol_7_26628),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).
tff(114,plain,
genls(c_tptpcol_8_26629,c_tptpcol_7_26628),
inference(modus_ponens,[status(thm)],[113,112]) ).
tff(115,plain,
( genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
<=> genls(c_tptpcol_7_26628,c_tptpcol_6_26627) ),
inference(rewrite,[status(thm)],[]) ).
tff(116,axiom,
genls(c_tptpcol_7_26628,c_tptpcol_6_26627),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).
tff(117,plain,
genls(c_tptpcol_7_26628,c_tptpcol_6_26627),
inference(modus_ponens,[status(thm)],[116,115]) ).
tff(118,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(119,plain,
( ( genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) )
<=> ( ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(120,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) ) ),
inference(monotonicity,[status(thm)],[119]) ).
tff(121,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) ) ),
inference(transitivity,[status(thm)],[120,118]) ).
tff(122,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) ),
inference(quant_inst,[status(thm)],[]) ).
tff(123,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_26628,c_tptpcol_6_26627)
| genls(c_tptpcol_8_26629,c_tptpcol_6_26627)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_7_26628) ),
inference(modus_ponens,[status(thm)],[122,121]) ).
tff(124,plain,
genls(c_tptpcol_8_26629,c_tptpcol_6_26627),
inference(unit_resolution,[status(thm)],[123,117,114,12]) ).
tff(125,plain,
( genls(c_tptpcol_6_26627,c_tptpcol_5_24579)
<=> genls(c_tptpcol_6_26627,c_tptpcol_5_24579) ),
inference(rewrite,[status(thm)],[]) ).
tff(126,axiom,
genls(c_tptpcol_6_26627,c_tptpcol_5_24579),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
tff(127,plain,
genls(c_tptpcol_6_26627,c_tptpcol_5_24579),
inference(modus_ponens,[status(thm)],[126,125]) ).
tff(128,plain,
( genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
<=> genls(c_tptpcol_5_24579,c_tptpcol_4_24578) ),
inference(rewrite,[status(thm)],[]) ).
tff(129,axiom,
genls(c_tptpcol_5_24579,c_tptpcol_4_24578),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
tff(130,plain,
genls(c_tptpcol_5_24579,c_tptpcol_4_24578),
inference(modus_ponens,[status(thm)],[129,128]) ).
tff(131,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(132,plain,
( ( genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) )
<=> ( ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(133,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) ) ),
inference(monotonicity,[status(thm)],[132]) ).
tff(134,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) ) ),
inference(transitivity,[status(thm)],[133,131]) ).
tff(135,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) ),
inference(quant_inst,[status(thm)],[]) ).
tff(136,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_24579,c_tptpcol_4_24578)
| genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_5_24579) ),
inference(modus_ponens,[status(thm)],[135,134]) ).
tff(137,plain,
genls(c_tptpcol_6_26627,c_tptpcol_4_24578),
inference(unit_resolution,[status(thm)],[136,130,127,12]) ).
tff(138,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| genls(c_tptpcol_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| genls(c_tptpcol_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(139,plain,
( ( genls(c_tptpcol_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) )
<=> ( ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| genls(c_tptpcol_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) ) ),
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_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| genls(c_tptpcol_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) ) ),
inference(monotonicity,[status(thm)],[139]) ).
tff(141,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| genls(c_tptpcol_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) ) ),
inference(transitivity,[status(thm)],[140,138]) ).
tff(142,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) ),
inference(quant_inst,[status(thm)],[]) ).
tff(143,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_26627,c_tptpcol_4_24578)
| genls(c_tptpcol_8_26629,c_tptpcol_4_24578)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_6_26627) ),
inference(modus_ponens,[status(thm)],[142,141]) ).
tff(144,plain,
genls(c_tptpcol_8_26629,c_tptpcol_4_24578),
inference(unit_resolution,[status(thm)],[143,12,137,124]) ).
tff(145,plain,
( genls(c_tptpcol_3_16386,c_tptpcol_2_2)
<=> genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(rewrite,[status(thm)],[]) ).
tff(146,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
tff(147,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(modus_ponens,[status(thm)],[146,145]) ).
tff(148,plain,
( genls(c_tptpcol_2_2,c_tptpcol_1_1)
<=> genls(c_tptpcol_2_2,c_tptpcol_1_1) ),
inference(rewrite,[status(thm)],[]) ).
tff(149,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
tff(150,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(modus_ponens,[status(thm)],[149,148]) ).
tff(151,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(152,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(153,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)],[152]) ).
tff(154,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)],[153,151]) ).
tff(155,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(156,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)],[155,154]) ).
tff(157,plain,
genls(c_tptpcol_3_16386,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[156,150,147,12]) ).
tff(158,plain,
( genls(c_tptpcol_4_24578,c_tptpcol_3_16386)
<=> genls(c_tptpcol_4_24578,c_tptpcol_3_16386) ),
inference(rewrite,[status(thm)],[]) ).
tff(159,axiom,
genls(c_tptpcol_4_24578,c_tptpcol_3_16386),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
tff(160,plain,
genls(c_tptpcol_4_24578,c_tptpcol_3_16386),
inference(modus_ponens,[status(thm)],[159,158]) ).
tff(161,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_24578,c_tptpcol_3_16386)
| genls(c_tptpcol_4_24578,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_24578,c_tptpcol_3_16386)
| genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(162,plain,
( ( genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_24578,c_tptpcol_3_16386) )
<=> ( ~ genls(c_tptpcol_4_24578,c_tptpcol_3_16386)
| genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(163,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_24578,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_24578,c_tptpcol_3_16386)
| genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ) ),
inference(monotonicity,[status(thm)],[162]) ).
tff(164,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_24578,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_24578,c_tptpcol_3_16386)
| genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ) ),
inference(transitivity,[status(thm)],[163,161]) ).
tff(165,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_24578,c_tptpcol_3_16386) ),
inference(quant_inst,[status(thm)],[]) ).
tff(166,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_24578,c_tptpcol_3_16386)
| genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1) ),
inference(modus_ponens,[status(thm)],[165,164]) ).
tff(167,plain,
genls(c_tptpcol_4_24578,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[166,160,12,157]) ).
tff(168,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(169,plain,
( ( genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) )
<=> ( ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(170,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) ) ),
inference(monotonicity,[status(thm)],[169]) ).
tff(171,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) ) ),
inference(transitivity,[status(thm)],[170,168]) ).
tff(172,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) ),
inference(quant_inst,[status(thm)],[]) ).
tff(173,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_24578,c_tptpcol_1_1)
| genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_4_24578) ),
inference(modus_ponens,[status(thm)],[172,171]) ).
tff(174,plain,
genls(c_tptpcol_8_26629,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[173,12,167,144]) ).
tff(175,plain,
( disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
<=> disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],[]) ).
tff(176,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just67) ).
tff(177,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[176,175]) ).
tff(178,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(179,plain,
( ( disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1) )
<=> ( ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(180,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[179]) ).
tff(181,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[180,178]) ).
tff(182,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1) ),
inference(quant_inst,[status(thm)],[]) ).
tff(183,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_26629,c_tptpcol_1_1)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[182,181]) ).
tff(184,plain,
disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[183,177,104,174]) ).
tff(185,plain,
( genls(c_tptpcol_16_92269,c_tptpcol_15_92268)
<=> genls(c_tptpcol_16_92269,c_tptpcol_15_92268) ),
inference(rewrite,[status(thm)],[]) ).
tff(186,axiom,
genls(c_tptpcol_16_92269,c_tptpcol_15_92268),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just65) ).
tff(187,plain,
genls(c_tptpcol_16_92269,c_tptpcol_15_92268),
inference(modus_ponens,[status(thm)],[186,185]) ).
tff(188,plain,
( genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
<=> genls(c_tptpcol_15_92268,c_tptpcol_14_92264) ),
inference(rewrite,[status(thm)],[]) ).
tff(189,axiom,
genls(c_tptpcol_15_92268,c_tptpcol_14_92264),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
tff(190,plain,
genls(c_tptpcol_15_92268,c_tptpcol_14_92264),
inference(modus_ponens,[status(thm)],[189,188]) ).
tff(191,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(192,plain,
( ( genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) )
<=> ( ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(193,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) ) ),
inference(monotonicity,[status(thm)],[192]) ).
tff(194,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) ) ),
inference(transitivity,[status(thm)],[193,191]) ).
tff(195,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) ),
inference(quant_inst,[status(thm)],[]) ).
tff(196,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_92268,c_tptpcol_14_92264)
| genls(c_tptpcol_16_92269,c_tptpcol_14_92264)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_15_92268) ),
inference(modus_ponens,[status(thm)],[195,194]) ).
tff(197,plain,
genls(c_tptpcol_16_92269,c_tptpcol_14_92264),
inference(unit_resolution,[status(thm)],[196,190,187,12]) ).
tff(198,plain,
( genls(c_tptpcol_14_92264,c_tptpcol_13_92263)
<=> genls(c_tptpcol_14_92264,c_tptpcol_13_92263) ),
inference(rewrite,[status(thm)],[]) ).
tff(199,axiom,
genls(c_tptpcol_14_92264,c_tptpcol_13_92263),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just61) ).
tff(200,plain,
genls(c_tptpcol_14_92264,c_tptpcol_13_92263),
inference(modus_ponens,[status(thm)],[199,198]) ).
tff(201,plain,
( genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
<=> genls(c_tptpcol_13_92263,c_tptpcol_12_92262) ),
inference(rewrite,[status(thm)],[]) ).
tff(202,axiom,
genls(c_tptpcol_13_92263,c_tptpcol_12_92262),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).
tff(203,plain,
genls(c_tptpcol_13_92263,c_tptpcol_12_92262),
inference(modus_ponens,[status(thm)],[202,201]) ).
tff(204,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(205,plain,
( ( genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) )
<=> ( ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(206,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) ) ),
inference(monotonicity,[status(thm)],[205]) ).
tff(207,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) ) ),
inference(transitivity,[status(thm)],[206,204]) ).
tff(208,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) ),
inference(quant_inst,[status(thm)],[]) ).
tff(209,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_92263,c_tptpcol_12_92262)
| genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_13_92263) ),
inference(modus_ponens,[status(thm)],[208,207]) ).
tff(210,plain,
genls(c_tptpcol_14_92264,c_tptpcol_12_92262),
inference(unit_resolution,[status(thm)],[209,203,200,12]) ).
tff(211,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(212,plain,
( ( genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) )
<=> ( ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(213,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) ) ),
inference(monotonicity,[status(thm)],[212]) ).
tff(214,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) ) ),
inference(transitivity,[status(thm)],[213,211]) ).
tff(215,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) ),
inference(quant_inst,[status(thm)],[]) ).
tff(216,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_92264,c_tptpcol_12_92262)
| genls(c_tptpcol_16_92269,c_tptpcol_12_92262)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_14_92264) ),
inference(modus_ponens,[status(thm)],[215,214]) ).
tff(217,plain,
genls(c_tptpcol_16_92269,c_tptpcol_12_92262),
inference(unit_resolution,[status(thm)],[216,12,210,197]) ).
tff(218,plain,
( genls(c_tptpcol_12_92262,c_tptpcol_11_92230)
<=> genls(c_tptpcol_12_92262,c_tptpcol_11_92230) ),
inference(rewrite,[status(thm)],[]) ).
tff(219,axiom,
genls(c_tptpcol_12_92262,c_tptpcol_11_92230),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).
tff(220,plain,
genls(c_tptpcol_12_92262,c_tptpcol_11_92230),
inference(modus_ponens,[status(thm)],[219,218]) ).
tff(221,plain,
( genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
<=> genls(c_tptpcol_11_92230,c_tptpcol_10_92166) ),
inference(rewrite,[status(thm)],[]) ).
tff(222,axiom,
genls(c_tptpcol_11_92230,c_tptpcol_10_92166),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
tff(223,plain,
genls(c_tptpcol_11_92230,c_tptpcol_10_92166),
inference(modus_ponens,[status(thm)],[222,221]) ).
tff(224,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(225,plain,
( ( genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) )
<=> ( ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(226,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) ) ),
inference(monotonicity,[status(thm)],[225]) ).
tff(227,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) ) ),
inference(transitivity,[status(thm)],[226,224]) ).
tff(228,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) ),
inference(quant_inst,[status(thm)],[]) ).
tff(229,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_92230,c_tptpcol_10_92166)
| genls(c_tptpcol_12_92262,c_tptpcol_10_92166)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_11_92230) ),
inference(modus_ponens,[status(thm)],[228,227]) ).
tff(230,plain,
genls(c_tptpcol_12_92262,c_tptpcol_10_92166),
inference(unit_resolution,[status(thm)],[229,223,220,12]) ).
tff(231,plain,
( genls(c_tptpcol_10_92166,c_tptpcol_9_92165)
<=> genls(c_tptpcol_10_92166,c_tptpcol_9_92165) ),
inference(rewrite,[status(thm)],[]) ).
tff(232,axiom,
genls(c_tptpcol_10_92166,c_tptpcol_9_92165),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
tff(233,plain,
genls(c_tptpcol_10_92166,c_tptpcol_9_92165),
inference(modus_ponens,[status(thm)],[232,231]) ).
tff(234,plain,
( genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
<=> genls(c_tptpcol_9_92165,c_tptpcol_8_92164) ),
inference(rewrite,[status(thm)],[]) ).
tff(235,axiom,
genls(c_tptpcol_9_92165,c_tptpcol_8_92164),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).
tff(236,plain,
genls(c_tptpcol_9_92165,c_tptpcol_8_92164),
inference(modus_ponens,[status(thm)],[235,234]) ).
tff(237,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(238,plain,
( ( genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) )
<=> ( ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(239,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) ) ),
inference(monotonicity,[status(thm)],[238]) ).
tff(240,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) ) ),
inference(transitivity,[status(thm)],[239,237]) ).
tff(241,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) ),
inference(quant_inst,[status(thm)],[]) ).
tff(242,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_92165,c_tptpcol_8_92164)
| genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_9_92165) ),
inference(modus_ponens,[status(thm)],[241,240]) ).
tff(243,plain,
genls(c_tptpcol_10_92166,c_tptpcol_8_92164),
inference(unit_resolution,[status(thm)],[242,236,233,12]) ).
tff(244,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(245,plain,
( ( genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) )
<=> ( ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(246,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) ) ),
inference(monotonicity,[status(thm)],[245]) ).
tff(247,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) ) ),
inference(transitivity,[status(thm)],[246,244]) ).
tff(248,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) ),
inference(quant_inst,[status(thm)],[]) ).
tff(249,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_92166,c_tptpcol_8_92164)
| genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_10_92166) ),
inference(modus_ponens,[status(thm)],[248,247]) ).
tff(250,plain,
genls(c_tptpcol_12_92262,c_tptpcol_8_92164),
inference(unit_resolution,[status(thm)],[249,12,243,230]) ).
tff(251,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(252,plain,
( ( genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) )
<=> ( ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(253,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) ) ),
inference(monotonicity,[status(thm)],[252]) ).
tff(254,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) ) ),
inference(transitivity,[status(thm)],[253,251]) ).
tff(255,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) ),
inference(quant_inst,[status(thm)],[]) ).
tff(256,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_92262,c_tptpcol_8_92164)
| genls(c_tptpcol_16_92269,c_tptpcol_8_92164)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_12_92262) ),
inference(modus_ponens,[status(thm)],[255,254]) ).
tff(257,plain,
genls(c_tptpcol_16_92269,c_tptpcol_8_92164),
inference(unit_resolution,[status(thm)],[256,12,250,217]) ).
tff(258,plain,
( genls(c_tptpcol_8_92164,c_tptpcol_7_92163)
<=> genls(c_tptpcol_8_92164,c_tptpcol_7_92163) ),
inference(rewrite,[status(thm)],[]) ).
tff(259,axiom,
genls(c_tptpcol_8_92164,c_tptpcol_7_92163),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
tff(260,plain,
genls(c_tptpcol_8_92164,c_tptpcol_7_92163),
inference(modus_ponens,[status(thm)],[259,258]) ).
tff(261,plain,
( genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
<=> genls(c_tptpcol_7_92163,c_tptpcol_6_92162) ),
inference(rewrite,[status(thm)],[]) ).
tff(262,axiom,
genls(c_tptpcol_7_92163,c_tptpcol_6_92162),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
tff(263,plain,
genls(c_tptpcol_7_92163,c_tptpcol_6_92162),
inference(modus_ponens,[status(thm)],[262,261]) ).
tff(264,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(265,plain,
( ( genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) )
<=> ( ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(266,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) ) ),
inference(monotonicity,[status(thm)],[265]) ).
tff(267,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) ) ),
inference(transitivity,[status(thm)],[266,264]) ).
tff(268,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) ),
inference(quant_inst,[status(thm)],[]) ).
tff(269,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_92163,c_tptpcol_6_92162)
| genls(c_tptpcol_8_92164,c_tptpcol_6_92162)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_7_92163) ),
inference(modus_ponens,[status(thm)],[268,267]) ).
tff(270,plain,
genls(c_tptpcol_8_92164,c_tptpcol_6_92162),
inference(unit_resolution,[status(thm)],[269,263,260,12]) ).
tff(271,plain,
( genls(c_tptpcol_6_92162,c_tptpcol_5_90114)
<=> genls(c_tptpcol_6_92162,c_tptpcol_5_90114) ),
inference(rewrite,[status(thm)],[]) ).
tff(272,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
tff(273,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(modus_ponens,[status(thm)],[272,271]) ).
tff(274,plain,
( genls(c_tptpcol_5_90114,c_tptpcol_4_90113)
<=> genls(c_tptpcol_5_90114,c_tptpcol_4_90113) ),
inference(rewrite,[status(thm)],[]) ).
tff(275,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
tff(276,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(modus_ponens,[status(thm)],[275,274]) ).
tff(277,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(278,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(279,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)],[278]) ).
tff(280,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)],[279,277]) ).
tff(281,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(282,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)],[281,280]) ).
tff(283,plain,
genls(c_tptpcol_6_92162,c_tptpcol_4_90113),
inference(unit_resolution,[status(thm)],[282,276,273,12]) ).
tff(284,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_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) )
<=> ( ~ ! [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_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(285,plain,
( ( genls(c_tptpcol_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) )
<=> ( ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| genls(c_tptpcol_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(286,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) )
<=> ( ~ ! [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_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) ) ),
inference(monotonicity,[status(thm)],[285]) ).
tff(287,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) )
<=> ( ~ ! [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_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) ) ),
inference(transitivity,[status(thm)],[286,284]) ).
tff(288,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_6_92162,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) ),
inference(quant_inst,[status(thm)],[]) ).
tff(289,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_8_92164,c_tptpcol_4_90113)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_6_92162) ),
inference(modus_ponens,[status(thm)],[288,287]) ).
tff(290,plain,
genls(c_tptpcol_8_92164,c_tptpcol_4_90113),
inference(unit_resolution,[status(thm)],[289,12,283,270]) ).
tff(291,plain,
( genls(c_tptpcol_3_81921,c_tptpcol_2_65537)
<=> genls(c_tptpcol_3_81921,c_tptpcol_2_65537) ),
inference(rewrite,[status(thm)],[]) ).
tff(292,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
tff(293,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(modus_ponens,[status(thm)],[292,291]) ).
tff(294,plain,
( genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
<=> genls(c_tptpcol_2_65537,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],[]) ).
tff(295,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
tff(296,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[295,294]) ).
tff(297,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(298,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(299,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)],[298]) ).
tff(300,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)],[299,297]) ).
tff(301,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(302,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)],[301,300]) ).
tff(303,plain,
genls(c_tptpcol_3_81921,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[302,296,293,12]) ).
tff(304,plain,
( genls(c_tptpcol_4_90113,c_tptpcol_3_81921)
<=> genls(c_tptpcol_4_90113,c_tptpcol_3_81921) ),
inference(rewrite,[status(thm)],[]) ).
tff(305,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
tff(306,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(modus_ponens,[status(thm)],[305,304]) ).
tff(307,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(308,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(309,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)],[308]) ).
tff(310,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)],[309,307]) ).
tff(311,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(312,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)],[311,310]) ).
tff(313,plain,
genls(c_tptpcol_4_90113,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[312,306,12,303]) ).
tff(314,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_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,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_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_4_90113) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(315,plain,
( ( genls(c_tptpcol_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_4_90113) )
<=> ( ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| genls(c_tptpcol_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_4_90113) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(316,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,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_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_4_90113) ) ),
inference(monotonicity,[status(thm)],[315]) ).
tff(317,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,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_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_4_90113) ) ),
inference(transitivity,[status(thm)],[316,314]) ).
tff(318,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_90113,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_4_90113) ),
inference(quant_inst,[status(thm)],[]) ).
tff(319,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_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_4_90113) ),
inference(modus_ponens,[status(thm)],[318,317]) ).
tff(320,plain,
genls(c_tptpcol_8_92164,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[319,12,313,290]) ).
tff(321,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_8_92164) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_8_92164) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(322,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_8_92164) ),
inference(quant_inst,[status(thm)],[]) ).
tff(323,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_92269,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_92164,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_8_92164) ),
inference(modus_ponens,[status(thm)],[322,321]) ).
tff(324,plain,
genls(c_tptpcol_16_92269,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[323,12,320,257]) ).
tff(325,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(326,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)],[325]) ).
tff(327,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(328,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)],[327]) ).
tff(329,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(330,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(331,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)],[330]) ).
tff(332,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just85) ).
tff(333,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[332,331]) ).
tff(334,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[333,329]) ).
tff(335,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(skolemize,[status(sab)],[334]) ).
tff(336,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[335,328]) ).
tff(337,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[336,326]) ).
tff(338,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(339,plain,
( ( disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) )
<=> ( ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(340,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[339]) ).
tff(341,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[340,338]) ).
tff(342,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) ),
inference(quant_inst,[status(thm)],[]) ).
tff(343,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269)
| ~ genls(c_tptpcol_16_92269,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[342,341]) ).
tff(344,plain,
$false,
inference(unit_resolution,[status(thm)],[343,337,324,184,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR049+1 : TPTP v9.0.0. Released v3.4.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 12:39:20 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.59/0.84 % SZS status Theorem
% 0.59/0.84 % SZS output start Proof
% See solution above
% 0.68/0.87 % E exiting
%------------------------------------------------------------------------------