TSTP Solution File: CSR036+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR036+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.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 : Tue Sep 20 14:27:18 EDT 2022
% Result : Theorem 4.03s 2.81s
% Output : Proof 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 207
% Syntax : Number of formulae : 387 ( 103 unt; 35 typ; 0 def)
% Number of atoms : 2047 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 3091 (1442 ~;1397 |; 48 &)
% ( 190 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 46 ( 46 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 876 ( 848 !; 0 ?; 876 :)
% Comments :
%------------------------------------------------------------------------------
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptpcol_2_2_type,type,
c_tptpcol_2_2: $i ).
tff(c_tptpcol_16_72795_type,type,
c_tptpcol_16_72795: $i ).
tff(c_tptpcol_5_69635_type,type,
c_tptpcol_5_69635: $i ).
tff(c_tptpcol_1_65536_type,type,
c_tptpcol_1_65536: $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_tptpcol_1_1_type,type,
c_tptpcol_1_1: $i ).
tff(c_tptpcol_3_65538_type,type,
c_tptpcol_3_65538: $i ).
tff(c_tptpcol_4_65539_type,type,
c_tptpcol_4_65539: $i ).
tff(c_tptpcol_2_65537_type,type,
c_tptpcol_2_65537: $i ).
tff(c_tptpcol_10_72710_type,type,
c_tptpcol_10_72710: $i ).
tff(c_tptpcol_13_72791_type,type,
c_tptpcol_13_72791: $i ).
tff(c_tptpcol_15_72793_type,type,
c_tptpcol_15_72793: $i ).
tff(c_tptpcol_14_72792_type,type,
c_tptpcol_14_72792: $i ).
tff(c_tptpcol_12_72775_type,type,
c_tptpcol_12_72775: $i ).
tff(c_tptpcol_11_72774_type,type,
c_tptpcol_11_72774: $i ).
tff(c_tptpcol_8_72708_type,type,
c_tptpcol_8_72708: $i ).
tff(c_tptpcol_7_72707_type,type,
c_tptpcol_7_72707: $i ).
tff(c_tptpcol_6_71683_type,type,
c_tptpcol_6_71683: $i ).
tff(c_tptpcol_9_72709_type,type,
c_tptpcol_9_72709: $i ).
tff(c_tptpcol_15_22076_type,type,
c_tptpcol_15_22076: $i ).
tff(c_tptpcol_7_21508_type,type,
c_tptpcol_7_21508: $i ).
tff(c_tptpcol_11_22023_type,type,
c_tptpcol_11_22023: $i ).
tff(c_tptpcol_13_22071_type,type,
c_tptpcol_13_22071: $i ).
tff(c_tptpcol_14_22072_type,type,
c_tptpcol_14_22072: $i ).
tff(c_tptpcol_12_22055_type,type,
c_tptpcol_12_22055: $i ).
tff(c_tptpcol_9_22021_type,type,
c_tptpcol_9_22021: $i ).
tff(c_tptpcol_10_22022_type,type,
c_tptpcol_10_22022: $i ).
tff(c_tptpcol_8_22020_type,type,
c_tptpcol_8_22020: $i ).
tff(c_tptpcol_5_20483_type,type,
c_tptpcol_5_20483: $i ).
tff(c_tptpcol_4_16387_type,type,
c_tptpcol_4_16387: $i ).
tff(c_tptpcol_3_16386_type,type,
c_tptpcol_3_16386: $i ).
tff(c_tptpcol_6_20484_type,type,
c_tptpcol_6_20484: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptp_member974_mt_type,type,
c_tptp_member974_mt: $i ).
tff(1,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(2,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)],[1]) ).
tff(3,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(4,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)],[3]) ).
tff(5,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(6,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(7,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)],[6]) ).
tff(8,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just85) ).
tff(9,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(skolemize,[status(sab)],[10]) ).
tff(12,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[11,4]) ).
tff(13,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[12,2]) ).
tff(14,plain,
( disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
<=> disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],]) ).
tff(15,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just64) ).
tff(16,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
( genls(c_tptpcol_2_2,c_tptpcol_1_1)
<=> genls(c_tptpcol_2_2,c_tptpcol_1_1) ),
inference(rewrite,[status(thm)],]) ).
tff(18,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
tff(19,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,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_2_2,c_tptpcol_1_1)
| disjointwith(c_tptpcol_2_2,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_2_2,c_tptpcol_1_1)
| disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
( ( disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1) )
<=> ( ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],]) ).
tff(22,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_2,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_2_2,c_tptpcol_1_1)
| disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[21]) ).
tff(23,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_2,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_2_2,c_tptpcol_1_1)
| disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[22,20]) ).
tff(24,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1) ),
inference(quant_inst,[status(thm)],]) ).
tff(25,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_2_2,c_tptpcol_1_1)
| disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[25,19,16,13]) ).
tff(27,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(28,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(29,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)],[28]) ).
tff(30,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(31,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(32,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)],[31]) ).
tff(33,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just156) ).
tff(34,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[34,30]) ).
tff(36,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(skolemize,[status(sab)],[35]) ).
tff(37,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[36,29]) ).
tff(38,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[37,27]) ).
tff(39,plain,
( genls(c_tptpcol_5_69635,c_tptpcol_4_65539)
<=> genls(c_tptpcol_5_69635,c_tptpcol_4_65539) ),
inference(rewrite,[status(thm)],]) ).
tff(40,axiom,
genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).
tff(41,plain,
genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
( genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
<=> genls(c_tptpcol_4_65539,c_tptpcol_3_65538) ),
inference(rewrite,[status(thm)],]) ).
tff(43,axiom,
genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
tff(44,plain,
genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) ) ),
inference(rewrite,[status(thm)],]) ).
tff(46,plain,
( ( genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) )
<=> ( ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) ) ),
inference(rewrite,[status(thm)],]) ).
tff(47,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) ) ),
inference(monotonicity,[status(thm)],[46]) ).
tff(48,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) ) ),
inference(transitivity,[status(thm)],[47,45]) ).
tff(49,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) ),
inference(quant_inst,[status(thm)],]) ).
tff(50,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
| genls(c_tptpcol_5_69635,c_tptpcol_3_65538)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539) ),
inference(modus_ponens,[status(thm)],[49,48]) ).
tff(51,plain,
genls(c_tptpcol_5_69635,c_tptpcol_3_65538),
inference(unit_resolution,[status(thm)],[50,44,41,38]) ).
tff(52,plain,
( genls(c_tptpcol_3_65538,c_tptpcol_2_65537)
<=> genls(c_tptpcol_3_65538,c_tptpcol_2_65537) ),
inference(rewrite,[status(thm)],]) ).
tff(53,axiom,
genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
tff(54,plain,
genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
( genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
<=> genls(c_tptpcol_2_65537,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],]) ).
tff(56,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
tff(57,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,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_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,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_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537) ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,plain,
( ( genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537) )
<=> ( ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537) ) ),
inference(rewrite,[status(thm)],]) ).
tff(60,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,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_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537) ) ),
inference(monotonicity,[status(thm)],[59]) ).
tff(61,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,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_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537) ) ),
inference(transitivity,[status(thm)],[60,58]) ).
tff(62,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537) ),
inference(quant_inst,[status(thm)],]) ).
tff(63,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_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537) ),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
genls(c_tptpcol_3_65538,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[63,57,54,38]) ).
tff(65,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,plain,
( ( genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) )
<=> ( ~ genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) ) ),
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_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) ) ),
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_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) ) ),
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_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) ),
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_3_65538,c_tptpcol_1_65536)
| genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_3_65538) ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
genls(c_tptpcol_5_69635,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[70,38,64,51]) ).
tff(72,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(73,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)],[72]) ).
tff(74,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(75,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)],[74]) ).
tff(76,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(77,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(78,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)],[77]) ).
tff(79,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just84) ).
tff(80,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[79,78]) ).
tff(81,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[80,76]) ).
tff(82,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(skolemize,[status(sab)],[81]) ).
tff(83,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[82,75]) ).
tff(84,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[83,73]) ).
tff(85,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],]) ).
tff(86,plain,
( ( disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536) )
<=> ( ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],]) ).
tff(87,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[86]) ).
tff(88,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[87,85]) ).
tff(89,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536) ),
inference(quant_inst,[status(thm)],]) ).
tff(90,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_5_69635,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635),
inference(unit_resolution,[status(thm)],[90,84,71,26]) ).
tff(92,plain,
^ [X: $i,Y: $i] :
refl(
( ( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(93,plain,
( ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(quant_intro,[status(thm)],[92]) ).
tff(94,plain,
( ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(95,plain,
^ [X: $i,Y: $i] :
rewrite(
( ( disjointwith(X,Y)
=> disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(96,plain,
( ! [X: $i,Y: $i] :
( disjointwith(X,Y)
=> disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(quant_intro,[status(thm)],[95]) ).
tff(97,axiom,
! [X: $i,Y: $i] :
( disjointwith(X,Y)
=> disjointwith(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just83) ).
tff(98,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[97,96]) ).
tff(99,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[98,94]) ).
tff(100,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(skolemize,[status(sab)],[99]) ).
tff(101,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[100,93]) ).
tff(102,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| disjointwith(c_tptpcol_5_69635,c_tptpcol_2_2) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| disjointwith(c_tptpcol_5_69635,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(103,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| disjointwith(c_tptpcol_5_69635,c_tptpcol_2_2) ),
inference(quant_inst,[status(thm)],]) ).
tff(104,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635)
| disjointwith(c_tptpcol_5_69635,c_tptpcol_2_2) ),
inference(modus_ponens,[status(thm)],[103,102]) ).
tff(105,plain,
disjointwith(c_tptpcol_5_69635,c_tptpcol_2_2),
inference(unit_resolution,[status(thm)],[104,101,91]) ).
tff(106,plain,
( genls(c_tptpcol_15_72793,c_tptpcol_14_72792)
<=> genls(c_tptpcol_15_72793,c_tptpcol_14_72792) ),
inference(rewrite,[status(thm)],]) ).
tff(107,axiom,
genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just60) ).
tff(108,plain,
genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
inference(modus_ponens,[status(thm)],[107,106]) ).
tff(109,plain,
( genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
<=> genls(c_tptpcol_14_72792,c_tptpcol_13_72791) ),
inference(rewrite,[status(thm)],]) ).
tff(110,axiom,
genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just58) ).
tff(111,plain,
genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) ) ),
inference(rewrite,[status(thm)],]) ).
tff(113,plain,
( ( genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) )
<=> ( ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) ) ),
inference(rewrite,[status(thm)],]) ).
tff(114,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) ) ),
inference(monotonicity,[status(thm)],[113]) ).
tff(115,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) ) ),
inference(transitivity,[status(thm)],[114,112]) ).
tff(116,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) ),
inference(quant_inst,[status(thm)],]) ).
tff(117,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792) ),
inference(modus_ponens,[status(thm)],[116,115]) ).
tff(118,plain,
genls(c_tptpcol_15_72793,c_tptpcol_13_72791),
inference(unit_resolution,[status(thm)],[117,111,108,38]) ).
tff(119,plain,
( genls(c_tptpcol_16_72795,c_tptpcol_15_72793)
<=> genls(c_tptpcol_16_72795,c_tptpcol_15_72793) ),
inference(rewrite,[status(thm)],]) ).
tff(120,axiom,
genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just62) ).
tff(121,plain,
genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
inference(modus_ponens,[status(thm)],[120,119]) ).
tff(122,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| genls(c_tptpcol_16_72795,c_tptpcol_13_72791) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ) ),
inference(rewrite,[status(thm)],]) ).
tff(123,plain,
( ( genls(c_tptpcol_16_72795,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793) )
<=> ( ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ) ),
inference(rewrite,[status(thm)],]) ).
tff(124,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ) ),
inference(monotonicity,[status(thm)],[123]) ).
tff(125,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ) ),
inference(transitivity,[status(thm)],[124,122]) ).
tff(126,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793) ),
inference(quant_inst,[status(thm)],]) ).
tff(127,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_13_72791)
| genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ),
inference(modus_ponens,[status(thm)],[126,125]) ).
tff(128,plain,
genls(c_tptpcol_16_72795,c_tptpcol_13_72791),
inference(unit_resolution,[status(thm)],[127,121,38,118]) ).
tff(129,plain,
( genls(c_tptpcol_12_72775,c_tptpcol_11_72774)
<=> genls(c_tptpcol_12_72775,c_tptpcol_11_72774) ),
inference(rewrite,[status(thm)],]) ).
tff(130,axiom,
genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).
tff(131,plain,
genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
inference(modus_ponens,[status(thm)],[130,129]) ).
tff(132,plain,
( genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
<=> genls(c_tptpcol_11_72774,c_tptpcol_10_72710) ),
inference(rewrite,[status(thm)],]) ).
tff(133,axiom,
genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just52) ).
tff(134,plain,
genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
inference(modus_ponens,[status(thm)],[133,132]) ).
tff(135,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) ) ),
inference(rewrite,[status(thm)],]) ).
tff(136,plain,
( ( genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) )
<=> ( ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) ) ),
inference(rewrite,[status(thm)],]) ).
tff(137,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) ) ),
inference(monotonicity,[status(thm)],[136]) ).
tff(138,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) ) ),
inference(transitivity,[status(thm)],[137,135]) ).
tff(139,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) ),
inference(quant_inst,[status(thm)],]) ).
tff(140,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
| genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_11_72774) ),
inference(modus_ponens,[status(thm)],[139,138]) ).
tff(141,plain,
genls(c_tptpcol_12_72775,c_tptpcol_10_72710),
inference(unit_resolution,[status(thm)],[140,134,131,38]) ).
tff(142,plain,
( genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
<=> genls(c_tptpcol_13_72791,c_tptpcol_12_72775) ),
inference(rewrite,[status(thm)],]) ).
tff(143,axiom,
genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).
tff(144,plain,
genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
inference(modus_ponens,[status(thm)],[143,142]) ).
tff(145,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| genls(c_tptpcol_13_72791,c_tptpcol_10_72710) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| genls(c_tptpcol_13_72791,c_tptpcol_10_72710) ) ),
inference(rewrite,[status(thm)],]) ).
tff(146,plain,
( ( genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775) )
<=> ( ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| genls(c_tptpcol_13_72791,c_tptpcol_10_72710) ) ),
inference(rewrite,[status(thm)],]) ).
tff(147,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| genls(c_tptpcol_13_72791,c_tptpcol_10_72710) ) ),
inference(monotonicity,[status(thm)],[146]) ).
tff(148,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| genls(c_tptpcol_13_72791,c_tptpcol_10_72710) ) ),
inference(transitivity,[status(thm)],[147,145]) ).
tff(149,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775) ),
inference(quant_inst,[status(thm)],]) ).
tff(150,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710)
| genls(c_tptpcol_13_72791,c_tptpcol_10_72710) ),
inference(modus_ponens,[status(thm)],[149,148]) ).
tff(151,plain,
genls(c_tptpcol_13_72791,c_tptpcol_10_72710),
inference(unit_resolution,[status(thm)],[150,144,38,141]) ).
tff(152,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ) ),
inference(rewrite,[status(thm)],]) ).
tff(153,plain,
( ( genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) )
<=> ( ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ) ),
inference(rewrite,[status(thm)],]) ).
tff(154,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ) ),
inference(monotonicity,[status(thm)],[153]) ).
tff(155,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ) ),
inference(transitivity,[status(thm)],[154,152]) ).
tff(156,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ),
inference(quant_inst,[status(thm)],]) ).
tff(157,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_72791,c_tptpcol_10_72710)
| genls(c_tptpcol_16_72795,c_tptpcol_10_72710)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_13_72791) ),
inference(modus_ponens,[status(thm)],[156,155]) ).
tff(158,plain,
genls(c_tptpcol_16_72795,c_tptpcol_10_72710),
inference(unit_resolution,[status(thm)],[157,38,151,128]) ).
tff(159,plain,
( genls(c_tptpcol_7_72707,c_tptpcol_6_71683)
<=> genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ),
inference(rewrite,[status(thm)],]) ).
tff(160,axiom,
genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just44) ).
tff(161,plain,
genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
inference(modus_ponens,[status(thm)],[160,159]) ).
tff(162,plain,
( genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
<=> genls(c_tptpcol_6_71683,c_tptpcol_5_69635) ),
inference(rewrite,[status(thm)],]) ).
tff(163,axiom,
genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just42) ).
tff(164,plain,
genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
inference(modus_ponens,[status(thm)],[163,162]) ).
tff(165,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ) ),
inference(rewrite,[status(thm)],]) ).
tff(166,plain,
( ( genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) )
<=> ( ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ) ),
inference(rewrite,[status(thm)],]) ).
tff(167,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ) ),
inference(monotonicity,[status(thm)],[166]) ).
tff(168,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ) ),
inference(transitivity,[status(thm)],[167,165]) ).
tff(169,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ),
inference(quant_inst,[status(thm)],]) ).
tff(170,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
| genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ),
inference(modus_ponens,[status(thm)],[169,168]) ).
tff(171,plain,
genls(c_tptpcol_7_72707,c_tptpcol_5_69635),
inference(unit_resolution,[status(thm)],[170,164,161,38]) ).
tff(172,plain,
( genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
<=> genls(c_tptpcol_8_72708,c_tptpcol_7_72707) ),
inference(rewrite,[status(thm)],]) ).
tff(173,axiom,
genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just46) ).
tff(174,plain,
genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
inference(modus_ponens,[status(thm)],[173,172]) ).
tff(175,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| genls(c_tptpcol_8_72708,c_tptpcol_5_69635) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| genls(c_tptpcol_8_72708,c_tptpcol_5_69635) ) ),
inference(rewrite,[status(thm)],]) ).
tff(176,plain,
( ( genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707) )
<=> ( ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| genls(c_tptpcol_8_72708,c_tptpcol_5_69635) ) ),
inference(rewrite,[status(thm)],]) ).
tff(177,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| genls(c_tptpcol_8_72708,c_tptpcol_5_69635) ) ),
inference(monotonicity,[status(thm)],[176]) ).
tff(178,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| genls(c_tptpcol_8_72708,c_tptpcol_5_69635) ) ),
inference(transitivity,[status(thm)],[177,175]) ).
tff(179,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707) ),
inference(quant_inst,[status(thm)],]) ).
tff(180,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_5_69635)
| genls(c_tptpcol_8_72708,c_tptpcol_5_69635) ),
inference(modus_ponens,[status(thm)],[179,178]) ).
tff(181,plain,
genls(c_tptpcol_8_72708,c_tptpcol_5_69635),
inference(unit_resolution,[status(thm)],[180,174,38,171]) ).
tff(182,plain,
( genls(c_tptpcol_10_72710,c_tptpcol_9_72709)
<=> genls(c_tptpcol_10_72710,c_tptpcol_9_72709) ),
inference(rewrite,[status(thm)],]) ).
tff(183,axiom,
genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).
tff(184,plain,
genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
inference(modus_ponens,[status(thm)],[183,182]) ).
tff(185,plain,
( genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
<=> genls(c_tptpcol_9_72709,c_tptpcol_8_72708) ),
inference(rewrite,[status(thm)],]) ).
tff(186,axiom,
genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
tff(187,plain,
genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
inference(modus_ponens,[status(thm)],[186,185]) ).
tff(188,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) ) ),
inference(rewrite,[status(thm)],]) ).
tff(189,plain,
( ( genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) )
<=> ( ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) ) ),
inference(rewrite,[status(thm)],]) ).
tff(190,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) ) ),
inference(monotonicity,[status(thm)],[189]) ).
tff(191,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) ) ),
inference(transitivity,[status(thm)],[190,188]) ).
tff(192,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) ),
inference(quant_inst,[status(thm)],]) ).
tff(193,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
| genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_9_72709) ),
inference(modus_ponens,[status(thm)],[192,191]) ).
tff(194,plain,
genls(c_tptpcol_10_72710,c_tptpcol_8_72708),
inference(unit_resolution,[status(thm)],[193,187,184,38]) ).
tff(195,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| genls(c_tptpcol_10_72710,c_tptpcol_5_69635) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| genls(c_tptpcol_10_72710,c_tptpcol_5_69635) ) ),
inference(rewrite,[status(thm)],]) ).
tff(196,plain,
( ( genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708) )
<=> ( ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| genls(c_tptpcol_10_72710,c_tptpcol_5_69635) ) ),
inference(rewrite,[status(thm)],]) ).
tff(197,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| genls(c_tptpcol_10_72710,c_tptpcol_5_69635) ) ),
inference(monotonicity,[status(thm)],[196]) ).
tff(198,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| genls(c_tptpcol_10_72710,c_tptpcol_5_69635) ) ),
inference(transitivity,[status(thm)],[197,195]) ).
tff(199,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708) ),
inference(quant_inst,[status(thm)],]) ).
tff(200,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_5_69635)
| genls(c_tptpcol_10_72710,c_tptpcol_5_69635) ),
inference(modus_ponens,[status(thm)],[199,198]) ).
tff(201,plain,
genls(c_tptpcol_10_72710,c_tptpcol_5_69635),
inference(unit_resolution,[status(thm)],[200,38,194,181]) ).
tff(202,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) ) ),
inference(rewrite,[status(thm)],]) ).
tff(203,plain,
( ( genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) )
<=> ( ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) ) ),
inference(rewrite,[status(thm)],]) ).
tff(204,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) ) ),
inference(monotonicity,[status(thm)],[203]) ).
tff(205,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) ) ),
inference(transitivity,[status(thm)],[204,202]) ).
tff(206,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) ),
inference(quant_inst,[status(thm)],]) ).
tff(207,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_5_69635)
| genls(c_tptpcol_16_72795,c_tptpcol_5_69635)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_10_72710) ),
inference(modus_ponens,[status(thm)],[206,205]) ).
tff(208,plain,
genls(c_tptpcol_16_72795,c_tptpcol_5_69635),
inference(unit_resolution,[status(thm)],[207,38,201,158]) ).
tff(209,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_5_69635,c_tptpcol_2_2)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_5_69635) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_5_69635,c_tptpcol_2_2)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_5_69635) ) ),
inference(rewrite,[status(thm)],]) ).
tff(210,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_5_69635,c_tptpcol_2_2)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_5_69635) ),
inference(quant_inst,[status(thm)],]) ).
tff(211,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_5_69635,c_tptpcol_2_2)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_5_69635) ),
inference(modus_ponens,[status(thm)],[210,209]) ).
tff(212,plain,
disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2),
inference(unit_resolution,[status(thm)],[211,13,208,105]) ).
tff(213,plain,
( genls(c_tptpcol_15_22076,c_tptpcol_14_22072)
<=> genls(c_tptpcol_15_22076,c_tptpcol_14_22072) ),
inference(rewrite,[status(thm)],]) ).
tff(214,axiom,
genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
tff(215,plain,
genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
inference(modus_ponens,[status(thm)],[214,213]) ).
tff(216,plain,
( genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
<=> genls(c_tptpcol_14_22072,c_tptpcol_13_22071) ),
inference(rewrite,[status(thm)],]) ).
tff(217,axiom,
genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
tff(218,plain,
genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
inference(modus_ponens,[status(thm)],[217,216]) ).
tff(219,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) ) ),
inference(rewrite,[status(thm)],]) ).
tff(220,plain,
( ( genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) )
<=> ( ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) ) ),
inference(rewrite,[status(thm)],]) ).
tff(221,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) ) ),
inference(monotonicity,[status(thm)],[220]) ).
tff(222,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) ) ),
inference(transitivity,[status(thm)],[221,219]) ).
tff(223,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) ),
inference(quant_inst,[status(thm)],]) ).
tff(224,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| genls(c_tptpcol_15_22076,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072) ),
inference(modus_ponens,[status(thm)],[223,222]) ).
tff(225,plain,
genls(c_tptpcol_15_22076,c_tptpcol_13_22071),
inference(unit_resolution,[status(thm)],[224,218,215,38]) ).
tff(226,plain,
( genls(c_tptpcol_13_22071,c_tptpcol_12_22055)
<=> genls(c_tptpcol_13_22071,c_tptpcol_12_22055) ),
inference(rewrite,[status(thm)],]) ).
tff(227,axiom,
genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
tff(228,plain,
genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
inference(modus_ponens,[status(thm)],[227,226]) ).
tff(229,plain,
( genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
<=> genls(c_tptpcol_12_22055,c_tptpcol_11_22023) ),
inference(rewrite,[status(thm)],]) ).
tff(230,axiom,
genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).
tff(231,plain,
genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
inference(modus_ponens,[status(thm)],[230,229]) ).
tff(232,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) ) ),
inference(rewrite,[status(thm)],]) ).
tff(233,plain,
( ( genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) )
<=> ( ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) ) ),
inference(rewrite,[status(thm)],]) ).
tff(234,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) ) ),
inference(monotonicity,[status(thm)],[233]) ).
tff(235,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) ) ),
inference(transitivity,[status(thm)],[234,232]) ).
tff(236,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) ),
inference(quant_inst,[status(thm)],]) ).
tff(237,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055) ),
inference(modus_ponens,[status(thm)],[236,235]) ).
tff(238,plain,
genls(c_tptpcol_13_22071,c_tptpcol_11_22023),
inference(unit_resolution,[status(thm)],[237,231,228,38]) ).
tff(239,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) ) ),
inference(rewrite,[status(thm)],]) ).
tff(240,plain,
( ( genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) )
<=> ( ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) ) ),
inference(rewrite,[status(thm)],]) ).
tff(241,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) ) ),
inference(monotonicity,[status(thm)],[240]) ).
tff(242,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) ) ),
inference(transitivity,[status(thm)],[241,239]) ).
tff(243,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) ),
inference(quant_inst,[status(thm)],]) ).
tff(244,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_22071,c_tptpcol_11_22023)
| genls(c_tptpcol_15_22076,c_tptpcol_11_22023)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_13_22071) ),
inference(modus_ponens,[status(thm)],[243,242]) ).
tff(245,plain,
genls(c_tptpcol_15_22076,c_tptpcol_11_22023),
inference(unit_resolution,[status(thm)],[244,38,238,225]) ).
tff(246,plain,
( genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
<=> genls(c_tptpcol_11_22023,c_tptpcol_10_22022) ),
inference(rewrite,[status(thm)],]) ).
tff(247,axiom,
genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just24) ).
tff(248,plain,
genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
inference(modus_ponens,[status(thm)],[247,246]) ).
tff(249,plain,
( genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
<=> genls(c_tptpcol_10_22022,c_tptpcol_9_22021) ),
inference(rewrite,[status(thm)],]) ).
tff(250,axiom,
genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just22) ).
tff(251,plain,
genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
inference(modus_ponens,[status(thm)],[250,249]) ).
tff(252,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) ) ),
inference(rewrite,[status(thm)],]) ).
tff(253,plain,
( ( genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) )
<=> ( ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) ) ),
inference(rewrite,[status(thm)],]) ).
tff(254,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) ) ),
inference(monotonicity,[status(thm)],[253]) ).
tff(255,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) ) ),
inference(transitivity,[status(thm)],[254,252]) ).
tff(256,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) ),
inference(quant_inst,[status(thm)],]) ).
tff(257,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
| genls(c_tptpcol_11_22023,c_tptpcol_9_22021)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022) ),
inference(modus_ponens,[status(thm)],[256,255]) ).
tff(258,plain,
genls(c_tptpcol_11_22023,c_tptpcol_9_22021),
inference(unit_resolution,[status(thm)],[257,251,248,38]) ).
tff(259,plain,
( genls(c_tptpcol_9_22021,c_tptpcol_8_22020)
<=> genls(c_tptpcol_9_22021,c_tptpcol_8_22020) ),
inference(rewrite,[status(thm)],]) ).
tff(260,axiom,
genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just20) ).
tff(261,plain,
genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
inference(modus_ponens,[status(thm)],[260,259]) ).
tff(262,plain,
( genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
<=> genls(c_tptpcol_8_22020,c_tptpcol_7_21508) ),
inference(rewrite,[status(thm)],]) ).
tff(263,axiom,
genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just18) ).
tff(264,plain,
genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
inference(modus_ponens,[status(thm)],[263,262]) ).
tff(265,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) ) ),
inference(rewrite,[status(thm)],]) ).
tff(266,plain,
( ( genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) )
<=> ( ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) ) ),
inference(rewrite,[status(thm)],]) ).
tff(267,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) ) ),
inference(monotonicity,[status(thm)],[266]) ).
tff(268,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) ) ),
inference(transitivity,[status(thm)],[267,265]) ).
tff(269,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) ),
inference(quant_inst,[status(thm)],]) ).
tff(270,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
| genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020) ),
inference(modus_ponens,[status(thm)],[269,268]) ).
tff(271,plain,
genls(c_tptpcol_9_22021,c_tptpcol_7_21508),
inference(unit_resolution,[status(thm)],[270,264,261,38]) ).
tff(272,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) ) ),
inference(rewrite,[status(thm)],]) ).
tff(273,plain,
( ( genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) )
<=> ( ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) ) ),
inference(rewrite,[status(thm)],]) ).
tff(274,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) ) ),
inference(monotonicity,[status(thm)],[273]) ).
tff(275,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) ) ),
inference(transitivity,[status(thm)],[274,272]) ).
tff(276,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) ),
inference(quant_inst,[status(thm)],]) ).
tff(277,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_22021,c_tptpcol_7_21508)
| genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_9_22021) ),
inference(modus_ponens,[status(thm)],[276,275]) ).
tff(278,plain,
genls(c_tptpcol_11_22023,c_tptpcol_7_21508),
inference(unit_resolution,[status(thm)],[277,38,271,258]) ).
tff(279,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) ) ),
inference(rewrite,[status(thm)],]) ).
tff(280,plain,
( ( genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) )
<=> ( ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) ) ),
inference(rewrite,[status(thm)],]) ).
tff(281,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) ) ),
inference(monotonicity,[status(thm)],[280]) ).
tff(282,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) ) ),
inference(transitivity,[status(thm)],[281,279]) ).
tff(283,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) ),
inference(quant_inst,[status(thm)],]) ).
tff(284,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_22023,c_tptpcol_7_21508)
| genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_11_22023) ),
inference(modus_ponens,[status(thm)],[283,282]) ).
tff(285,plain,
genls(c_tptpcol_15_22076,c_tptpcol_7_21508),
inference(unit_resolution,[status(thm)],[284,38,278,245]) ).
tff(286,plain,
( genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
<=> genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ),
inference(rewrite,[status(thm)],]) ).
tff(287,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
tff(288,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
inference(modus_ponens,[status(thm)],[287,286]) ).
tff(289,plain,
( genls(c_tptpcol_3_16386,c_tptpcol_2_2)
<=> genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(rewrite,[status(thm)],]) ).
tff(290,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
tff(291,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(modus_ponens,[status(thm)],[290,289]) ).
tff(292,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ) ),
inference(rewrite,[status(thm)],]) ).
tff(293,plain,
( ( genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) )
<=> ( ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ) ),
inference(rewrite,[status(thm)],]) ).
tff(294,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ) ),
inference(monotonicity,[status(thm)],[293]) ).
tff(295,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ) ),
inference(transitivity,[status(thm)],[294,292]) ).
tff(296,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ),
inference(quant_inst,[status(thm)],]) ).
tff(297,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2)
| genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ),
inference(modus_ponens,[status(thm)],[296,295]) ).
tff(298,plain,
genls(c_tptpcol_4_16387,c_tptpcol_2_2),
inference(unit_resolution,[status(thm)],[297,291,288,38]) ).
tff(299,plain,
( genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
<=> genls(c_tptpcol_5_20483,c_tptpcol_4_16387) ),
inference(rewrite,[status(thm)],]) ).
tff(300,axiom,
genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
tff(301,plain,
genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
inference(modus_ponens,[status(thm)],[300,299]) ).
tff(302,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(303,plain,
( ( genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387) )
<=> ( ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(304,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2) ) ),
inference(monotonicity,[status(thm)],[303]) ).
tff(305,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2) ) ),
inference(transitivity,[status(thm)],[304,302]) ).
tff(306,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387) ),
inference(quant_inst,[status(thm)],]) ).
tff(307,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_2_2) ),
inference(modus_ponens,[status(thm)],[306,305]) ).
tff(308,plain,
genls(c_tptpcol_5_20483,c_tptpcol_2_2),
inference(unit_resolution,[status(thm)],[307,301,38,298]) ).
tff(309,plain,
( genls(c_tptpcol_7_21508,c_tptpcol_6_20484)
<=> genls(c_tptpcol_7_21508,c_tptpcol_6_20484) ),
inference(rewrite,[status(thm)],]) ).
tff(310,axiom,
genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).
tff(311,plain,
genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
inference(modus_ponens,[status(thm)],[310,309]) ).
tff(312,plain,
( genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
<=> genls(c_tptpcol_6_20484,c_tptpcol_5_20483) ),
inference(rewrite,[status(thm)],]) ).
tff(313,axiom,
genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
tff(314,plain,
genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
inference(modus_ponens,[status(thm)],[313,312]) ).
tff(315,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) ) ),
inference(rewrite,[status(thm)],]) ).
tff(316,plain,
( ( genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) )
<=> ( ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) ) ),
inference(rewrite,[status(thm)],]) ).
tff(317,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) ) ),
inference(monotonicity,[status(thm)],[316]) ).
tff(318,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) ) ),
inference(transitivity,[status(thm)],[317,315]) ).
tff(319,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) ),
inference(quant_inst,[status(thm)],]) ).
tff(320,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484) ),
inference(modus_ponens,[status(thm)],[319,318]) ).
tff(321,plain,
genls(c_tptpcol_7_21508,c_tptpcol_5_20483),
inference(unit_resolution,[status(thm)],[320,314,311,38]) ).
tff(322,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(323,plain,
( ( genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483) )
<=> ( ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(324,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2) ) ),
inference(monotonicity,[status(thm)],[323]) ).
tff(325,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2) ) ),
inference(transitivity,[status(thm)],[324,322]) ).
tff(326,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483) ),
inference(quant_inst,[status(thm)],]) ).
tff(327,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_21508,c_tptpcol_5_20483)
| genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_2_2) ),
inference(modus_ponens,[status(thm)],[326,325]) ).
tff(328,plain,
genls(c_tptpcol_7_21508,c_tptpcol_2_2),
inference(unit_resolution,[status(thm)],[327,38,321,308]) ).
tff(329,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| genls(c_tptpcol_15_22076,c_tptpcol_2_2) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| genls(c_tptpcol_15_22076,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(330,plain,
( ( genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508) )
<=> ( ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| genls(c_tptpcol_15_22076,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(331,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| genls(c_tptpcol_15_22076,c_tptpcol_2_2) ) ),
inference(monotonicity,[status(thm)],[330]) ).
tff(332,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| genls(c_tptpcol_15_22076,c_tptpcol_2_2) ) ),
inference(transitivity,[status(thm)],[331,329]) ).
tff(333,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508) ),
inference(quant_inst,[status(thm)],]) ).
tff(334,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_15_22076,c_tptpcol_7_21508)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_2_2)
| genls(c_tptpcol_15_22076,c_tptpcol_2_2) ),
inference(modus_ponens,[status(thm)],[333,332]) ).
tff(335,plain,
genls(c_tptpcol_15_22076,c_tptpcol_2_2),
inference(unit_resolution,[status(thm)],[334,38,328,285]) ).
tff(336,plain,
( ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)
<=> ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
inference(rewrite,[status(thm)],]) ).
tff(337,plain,
( ~ ( mtvisible(c_tptp_member974_mt)
=> disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) )
<=> ~ ( ~ mtvisible(c_tptp_member974_mt)
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ) ),
inference(rewrite,[status(thm)],]) ).
tff(338,axiom,
~ ( mtvisible(c_tptp_member974_mt)
=> disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query36) ).
tff(339,plain,
~ ( ~ mtvisible(c_tptp_member974_mt)
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
inference(modus_ponens,[status(thm)],[338,337]) ).
tff(340,plain,
~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),
inference(or_elim,[status(thm)],[339]) ).
tff(341,plain,
~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),
inference(modus_ponens,[status(thm)],[340,336]) ).
tff(342,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ) ),
inference(rewrite,[status(thm)],]) ).
tff(343,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
inference(quant_inst,[status(thm)],]) ).
tff(344,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
inference(modus_ponens,[status(thm)],[343,342]) ).
tff(345,plain,
~ disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076),
inference(unit_resolution,[status(thm)],[344,101,341]) ).
tff(346,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(347,plain,
( ( disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2) )
<=> ( disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(348,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2) ) ),
inference(monotonicity,[status(thm)],[347]) ).
tff(349,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2) ) ),
inference(transitivity,[status(thm)],[348,346]) ).
tff(350,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2) ),
inference(quant_inst,[status(thm)],]) ).
tff(351,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_2_2)
| ~ disjointwith(c_tptpcol_16_72795,c_tptpcol_2_2) ),
inference(modus_ponens,[status(thm)],[350,349]) ).
tff(352,plain,
$false,
inference(unit_resolution,[status(thm)],[351,84,345,335,212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR036+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 17:06:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 4.03/2.81 % SZS status Theorem
% 4.03/2.81 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------