%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR061+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:01:39 AM UTC 2025
% Result : Theorem 0.49s 0.70s
% Output : Proof 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 100
% Syntax : Number of formulae : 207 ( 60 unt; 0 typ; 0 def)
% Number of atoms : 1244 ( 0 equ)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 1850 ( 857 ~; 813 |; 48 &)
% ( 121 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 44 ( 44 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 534 ( 510 !; 0 ?; 534 :)
% Comments :
%------------------------------------------------------------------------------
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptpcol_14_118118_type,type,
c_tptpcol_14_118118: $i ).
tff(c_tptpcol_3_98305_type,type,
c_tptpcol_3_98305: $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_tptpcol_3_114688_type,type,
c_tptpcol_3_114688: $i ).
tff(c_tptpcol_8_117763_type,type,
c_tptpcol_8_117763: $i ).
tff(c_tptpcol_11_118084_type,type,
c_tptpcol_11_118084: $i ).
tff(c_tptpcol_13_118117_type,type,
c_tptpcol_13_118117: $i ).
tff(c_tptpcol_12_118116_type,type,
c_tptpcol_12_118116: $i ).
tff(c_tptpcol_10_118020_type,type,
c_tptpcol_10_118020: $i ).
tff(c_tptpcol_9_118019_type,type,
c_tptpcol_9_118019: $i ).
tff(c_tptpcol_6_116738_type,type,
c_tptpcol_6_116738: $i ).
tff(c_tptpcol_5_114690_type,type,
c_tptpcol_5_114690: $i ).
tff(c_tptpcol_4_114689_type,type,
c_tptpcol_4_114689: $i ).
tff(c_tptpcol_7_117762_type,type,
c_tptpcol_7_117762: $i ).
tff(c_tptpcol_8_114177_type,type,
c_tptpcol_8_114177: $i ).
tff(c_tptpcol_6_112641_type,type,
c_tptpcol_6_112641: $i ).
tff(c_tptpcol_5_110593_type,type,
c_tptpcol_5_110593: $i ).
tff(c_tptpcol_4_106497_type,type,
c_tptpcol_4_106497: $i ).
tff(c_tptpcol_7_113665_type,type,
c_tptpcol_7_113665: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_timehasnoendmt_type,type,
c_timehasnoendmt: $i ).
tff(1,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
rewrite(( ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) ) )),
rewrite(( ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(3,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[2]) ).
tff(4,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(( ( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) )),
inference(bind,[status(th)],[]) ).
tff(6,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just101) ).
tff(8,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(skolemize,[status(sab)],[9]) ).
tff(11,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[11,1]) ).
tff(13,plain,
( genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
<=> genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
tff(15,plain,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
<=> genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
tff(18,plain,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) )
<=> ( ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(22,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ) ),
inference(transitivity,[status(thm)],[21,19]) ).
tff(23,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ),
inference(quant_inst,[status(thm)],[]) ).
tff(24,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
genls(c_tptpcol_13_118117,c_tptpcol_11_118084),
inference(unit_resolution,[status(thm)],[24,18,15,12]) ).
tff(26,plain,
( genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
<=> genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
tff(28,plain,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| genls(c_tptpcol_14_118118,c_tptpcol_11_118084) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,plain,
( ( genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
<=> ( ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
inference(monotonicity,[status(thm)],[30]) ).
tff(32,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
inference(transitivity,[status(thm)],[31,29]) ).
tff(33,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ),
inference(quant_inst,[status(thm)],[]) ).
tff(34,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
genls(c_tptpcol_14_118118,c_tptpcol_11_118084),
inference(unit_resolution,[status(thm)],[34,28,12,25]) ).
tff(36,plain,
( genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
<=> genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
tff(38,plain,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
<=> genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,axiom,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
tff(41,plain,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,plain,
( ( genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ) ),
inference(monotonicity,[status(thm)],[43]) ).
tff(45,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ) ),
inference(transitivity,[status(thm)],[44,42]) ).
tff(46,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ),
inference(quant_inst,[status(thm)],[]) ).
tff(47,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
genls(c_tptpcol_10_118020,c_tptpcol_8_117763),
inference(unit_resolution,[status(thm)],[47,41,38,12]) ).
tff(49,plain,
( genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
<=> genls(c_tptpcol_11_118084,c_tptpcol_10_118020) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,axiom,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
tff(51,plain,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(53,plain,
( ( genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) )
<=> ( ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ) ),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ) ),
inference(transitivity,[status(thm)],[54,52]) ).
tff(56,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) ),
inference(quant_inst,[status(thm)],[]) ).
tff(57,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
genls(c_tptpcol_11_118084,c_tptpcol_8_117763),
inference(unit_resolution,[status(thm)],[57,51,12,48]) ).
tff(59,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,plain,
( ( genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) )
<=> ( ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
inference(monotonicity,[status(thm)],[60]) ).
tff(62,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
inference(transitivity,[status(thm)],[61,59]) ).
tff(63,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ),
inference(quant_inst,[status(thm)],[]) ).
tff(64,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_14_118118,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
genls(c_tptpcol_14_118118,c_tptpcol_8_117763),
inference(unit_resolution,[status(thm)],[64,12,58,35]) ).
tff(66,plain,
( genls(c_tptpcol_5_114690,c_tptpcol_4_114689)
<=> genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
inference(rewrite,[status(thm)],[]) ).
tff(67,axiom,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).
tff(68,plain,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
inference(modus_ponens,[status(thm)],[67,66]) ).
tff(69,plain,
( genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
<=> genls(c_tptpcol_4_114689,c_tptpcol_3_114688) ),
inference(rewrite,[status(thm)],[]) ).
tff(70,axiom,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
tff(71,plain,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(73,plain,
( ( genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
<=> ( ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(74,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
inference(monotonicity,[status(thm)],[73]) ).
tff(75,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
inference(transitivity,[status(thm)],[74,72]) ).
tff(76,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
inference(quant_inst,[status(thm)],[]) ).
tff(77,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
genls(c_tptpcol_5_114690,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[77,71,68,12]) ).
tff(79,plain,
( genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
<=> genls(c_tptpcol_6_116738,c_tptpcol_5_114690) ),
inference(rewrite,[status(thm)],[]) ).
tff(80,axiom,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).
tff(81,plain,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(83,plain,
( ( genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
<=> ( ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(84,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(monotonicity,[status(thm)],[83]) ).
tff(85,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(transitivity,[status(thm)],[84,82]) ).
tff(86,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) ),
inference(quant_inst,[status(thm)],[]) ).
tff(87,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ),
inference(modus_ponens,[status(thm)],[86,85]) ).
tff(88,plain,
genls(c_tptpcol_6_116738,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[87,81,12,78]) ).
tff(89,plain,
( genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
<=> genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
inference(rewrite,[status(thm)],[]) ).
tff(90,axiom,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
tff(91,plain,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
( genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
<=> genls(c_tptpcol_7_117762,c_tptpcol_6_116738) ),
inference(rewrite,[status(thm)],[]) ).
tff(93,axiom,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).
tff(94,plain,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
inference(modus_ponens,[status(thm)],[93,92]) ).
tff(95,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(96,plain,
( ( genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
<=> ( ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(97,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ) ),
inference(monotonicity,[status(thm)],[96]) ).
tff(98,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ) ),
inference(transitivity,[status(thm)],[97,95]) ).
tff(99,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
inference(quant_inst,[status(thm)],[]) ).
tff(100,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
genls(c_tptpcol_8_117763,c_tptpcol_6_116738),
inference(unit_resolution,[status(thm)],[100,94,91,12]) ).
tff(102,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(103,plain,
( ( genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
<=> ( ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(104,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(monotonicity,[status(thm)],[103]) ).
tff(105,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(transitivity,[status(thm)],[104,102]) ).
tff(106,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) ),
inference(quant_inst,[status(thm)],[]) ).
tff(107,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
genls(c_tptpcol_8_117763,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[107,12,101,88]) ).
tff(109,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(110,plain,
( ( genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) )
<=> ( ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(111,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) ) ),
inference(monotonicity,[status(thm)],[110]) ).
tff(112,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) ) ),
inference(transitivity,[status(thm)],[111,109]) ).
tff(113,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) ),
inference(quant_inst,[status(thm)],[]) ).
tff(114,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_8_117763) ),
inference(modus_ponens,[status(thm)],[113,112]) ).
tff(115,plain,
genls(c_tptpcol_14_118118,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[114,12,108,65]) ).
tff(116,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(117,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)],[116]) ).
tff(118,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(119,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)],[118]) ).
tff(120,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(121,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(122,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)],[121]) ).
tff(123,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
tff(124,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[123,122]) ).
tff(125,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[124,120]) ).
tff(126,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(skolemize,[status(sab)],[125]) ).
tff(127,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[126,119]) ).
tff(128,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[127,117]) ).
tff(129,plain,
( disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
<=> disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688) ),
inference(rewrite,[status(thm)],[]) ).
tff(130,axiom,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
tff(131,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(modus_ponens,[status(thm)],[130,129]) ).
tff(132,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(133,plain,
( ( disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) )
<=> ( ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(134,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ) ),
inference(monotonicity,[status(thm)],[133]) ).
tff(135,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ) ),
inference(transitivity,[status(thm)],[134,132]) ).
tff(136,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ),
inference(quant_inst,[status(thm)],[]) ).
tff(137,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ),
inference(modus_ponens,[status(thm)],[136,135]) ).
tff(138,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118),
inference(unit_resolution,[status(thm)],[137,131,128,115]) ).
tff(139,plain,
( genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
<=> genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ),
inference(rewrite,[status(thm)],[]) ).
tff(140,axiom,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
tff(141,plain,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
inference(modus_ponens,[status(thm)],[140,139]) ).
tff(142,plain,
( genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
<=> genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ),
inference(rewrite,[status(thm)],[]) ).
tff(143,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
tff(144,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
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_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(146,plain,
( ( genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ) ),
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_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ) ),
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_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ) ),
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_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ),
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_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ),
inference(modus_ponens,[status(thm)],[149,148]) ).
tff(151,plain,
genls(c_tptpcol_5_110593,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[150,144,141,12]) ).
tff(152,plain,
( genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
<=> genls(c_tptpcol_6_112641,c_tptpcol_5_110593) ),
inference(rewrite,[status(thm)],[]) ).
tff(153,axiom,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
tff(154,plain,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
inference(modus_ponens,[status(thm)],[153,152]) ).
tff(155,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(156,plain,
( ( genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) )
<=> ( ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(157,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[156]) ).
tff(158,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[157,155]) ).
tff(159,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) ),
inference(quant_inst,[status(thm)],[]) ).
tff(160,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[159,158]) ).
tff(161,plain,
genls(c_tptpcol_6_112641,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[160,154,12,151]) ).
tff(162,plain,
( genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
<=> genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
inference(rewrite,[status(thm)],[]) ).
tff(163,axiom,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
tff(164,plain,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
inference(modus_ponens,[status(thm)],[163,162]) ).
tff(165,plain,
( genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
<=> genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ),
inference(rewrite,[status(thm)],[]) ).
tff(166,axiom,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
tff(167,plain,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
inference(modus_ponens,[status(thm)],[166,165]) ).
tff(168,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(169,plain,
( ( genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(170,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ) ),
inference(monotonicity,[status(thm)],[169]) ).
tff(171,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ) ),
inference(transitivity,[status(thm)],[170,168]) ).
tff(172,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
inference(quant_inst,[status(thm)],[]) ).
tff(173,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
inference(modus_ponens,[status(thm)],[172,171]) ).
tff(174,plain,
genls(c_tptpcol_8_114177,c_tptpcol_6_112641),
inference(unit_resolution,[status(thm)],[173,167,164,12]) ).
tff(175,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(176,plain,
( ( genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641) )
<=> ( ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
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_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
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_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
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_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641) ),
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_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[179,178]) ).
tff(181,plain,
genls(c_tptpcol_8_114177,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[180,12,174,161]) ).
tff(182,plain,
( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
<=> ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(rewrite,[status(thm)],[]) ).
tff(183,plain,
( ~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) )
<=> ~ ( ~ mtvisible(c_timehasnoendmt)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(184,axiom,
~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query61) ).
tff(185,plain,
~ ( ~ mtvisible(c_timehasnoendmt)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(modus_ponens,[status(thm)],[184,183]) ).
tff(186,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(or_elim,[status(thm)],[185]) ).
tff(187,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(modus_ponens,[status(thm)],[186,182]) ).
tff(188,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(189,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)],[188]) ).
tff(190,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(191,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)],[190]) ).
tff(192,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(193,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(194,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)],[193]) ).
tff(195,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).
tff(196,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[195,194]) ).
tff(197,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[196,192]) ).
tff(198,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(skolemize,[status(sab)],[197]) ).
tff(199,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[198,191]) ).
tff(200,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[199,189]) ).
tff(201,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(202,plain,
( ( disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) )
<=> ( disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(203,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ) ),
inference(monotonicity,[status(thm)],[202]) ).
tff(204,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ) ),
inference(transitivity,[status(thm)],[203,201]) ).
tff(205,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(quant_inst,[status(thm)],[]) ).
tff(206,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ),
inference(modus_ponens,[status(thm)],[205,204]) ).
tff(207,plain,
$false,
inference(unit_resolution,[status(thm)],[206,200,187,181,138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR061+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 12:47:24 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.49/0.70 % SZS status Theorem
% 0.49/0.70 % SZS output start Proof
% See solution above
% 0.56/0.72 % E exiting
%------------------------------------------------------------------------------