%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR036+3 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:01:22 AM UTC 2025
% Result : Theorem 20.87s 21.08s
% Output : Proof 21.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 154
% Syntax : Number of formulae : 304 ( 99 unt; 0 typ; 0 def)
% Number of atoms : 1681 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 2502 (1169 ~;1121 |; 48 &)
% ( 153 <=>; 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 : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 714 ( 690 !; 0 ?; 714 :)
% Comments :
%------------------------------------------------------------------------------
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptpcol_16_72795_type,type,
c_tptpcol_16_72795: $i ).
tff(c_tptpcol_1_1_type,type,
c_tptpcol_1_1: $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
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_3_16386_type,type,
c_tptpcol_3_16386: $i ).
tff(c_tptpcol_4_16387_type,type,
c_tptpcol_4_16387: $i ).
tff(c_tptpcol_2_2_type,type,
c_tptpcol_2_2: $i ).
tff(c_tptpcol_6_20484_type,type,
c_tptpcol_6_20484: $i ).
tff(c_tptpcol_7_21508_type,type,
c_tptpcol_7_21508: $i ).
tff(c_tptpcol_12_22055_type,type,
c_tptpcol_12_22055: $i ).
tff(c_tptpcol_14_22072_type,type,
c_tptpcol_14_22072: $i ).
tff(c_tptpcol_13_22071_type,type,
c_tptpcol_13_22071: $i ).
tff(c_tptpcol_15_22076_type,type,
c_tptpcol_15_22076: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptp_member974_mt_type,type,
c_tptp_member974_mt: $i ).
tff(c_tptpcol_10_22022_type,type,
c_tptpcol_10_22022: $i ).
tff(c_tptpcol_11_22023_type,type,
c_tptpcol_11_22023: $i ).
tff(c_tptpcol_9_22021_type,type,
c_tptpcol_9_22021: $i ).
tff(c_tptpcol_1_65536_type,type,
c_tptpcol_1_65536: $i ).
tff(c_tptpcol_8_72708_type,type,
c_tptpcol_8_72708: $i ).
tff(c_tptpcol_12_72775_type,type,
c_tptpcol_12_72775: $i ).
tff(c_tptpcol_14_72792_type,type,
c_tptpcol_14_72792: $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_10_72710_type,type,
c_tptpcol_10_72710: $i ).
tff(c_tptpcol_11_72774_type,type,
c_tptpcol_11_72774: $i ).
tff(c_tptpcol_9_72709_type,type,
c_tptpcol_9_72709: $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_3_65538_type,type,
c_tptpcol_3_65538: $i ).
tff(c_tptpcol_6_71683_type,type,
c_tptpcol_6_71683: $i ).
tff(c_tptpcol_7_72707_type,type,
c_tptpcol_7_72707: $i ).
tff(c_tptpcol_5_69635_type,type,
c_tptpcol_5_69635: $i ).
tff(1,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
rewrite(( ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) ) )),
rewrite(( ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
inference(bind,[status(th)],[]) ).
tff(3,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[2]) ).
tff(4,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(( ( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) )),
inference(bind,[status(th)],[]) ).
tff(6,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7995) ).
tff(8,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(skolemize,[status(sab)],[9]) ).
tff(11,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[11,1]) ).
tff(13,plain,
( genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
<=> genls(c_tptpcol_5_20483,c_tptpcol_4_16387) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1818) ).
tff(15,plain,
genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
<=> genls(c_tptpcol_4_16387,c_tptpcol_3_16386) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_783) ).
tff(18,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
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_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_3_16386) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( genls(c_tptpcol_5_20483,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387) )
<=> ( ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ) ),
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_5_20483,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ 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_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ) ),
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_5_20483,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ 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_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ) ),
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_5_20483,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387) ),
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_4_16387,c_tptpcol_3_16386)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_4_16387)
| genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
genls(c_tptpcol_5_20483,c_tptpcol_3_16386),
inference(unit_resolution,[status(thm)],[24,18,15,12]) ).
tff(26,plain,
( genls(c_tptpcol_2_2,c_tptpcol_1_1)
<=> genls(c_tptpcol_2_2,c_tptpcol_1_1) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3253) ).
tff(28,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( genls(c_tptpcol_3_16386,c_tptpcol_2_2)
<=> genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_460) ).
tff(31,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(quant_inst,[status(thm)],[]) ).
tff(34,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_2_2,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_2_2) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
genls(c_tptpcol_3_16386,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[34,31,28,12]) ).
tff(36,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,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_1_1)
| genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,plain,
( ( genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_3_16386) )
<=> ( ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(38,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,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_1_1)
| genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ) ),
inference(monotonicity,[status(thm)],[37]) ).
tff(39,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,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_1_1)
| genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ) ),
inference(transitivity,[status(thm)],[38,36]) ).
tff(40,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ),
inference(quant_inst,[status(thm)],[]) ).
tff(41,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_16386,c_tptpcol_1_1)
| genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_3_16386) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
genls(c_tptpcol_5_20483,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[41,12,35,25]) ).
tff(43,plain,
( genls(c_tptpcol_7_21508,c_tptpcol_6_20484)
<=> genls(c_tptpcol_7_21508,c_tptpcol_6_20484) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,axiom,
genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2436) ).
tff(45,plain,
genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
( genls(c_tptpcol_8_22020,c_tptpcol_7_21508)
<=> genls(c_tptpcol_8_22020,c_tptpcol_7_21508) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,axiom,
genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_336) ).
tff(48,plain,
genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_6_20484)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_6_20484)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_6_20484)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508) ),
inference(quant_inst,[status(thm)],[]) ).
tff(51,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_6_20484)
| ~ genls(c_tptpcol_7_21508,c_tptpcol_6_20484)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_7_21508) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
genls(c_tptpcol_8_22020,c_tptpcol_6_20484),
inference(unit_resolution,[status(thm)],[51,48,45,12]) ).
tff(53,plain,
( genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
<=> genls(c_tptpcol_6_20484,c_tptpcol_5_20483) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,axiom,
genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_793) ).
tff(55,plain,
genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,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_8_22020,c_tptpcol_6_20484)
| genls(c_tptpcol_8_22020,c_tptpcol_5_20483) )
<=> ( ~ ! [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_8_22020,c_tptpcol_6_20484)
| genls(c_tptpcol_8_22020,c_tptpcol_5_20483) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(57,plain,
( ( genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_6_20484) )
<=> ( ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_6_20484)
| genls(c_tptpcol_8_22020,c_tptpcol_5_20483) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(58,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_8_22020,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_8_22020,c_tptpcol_6_20484)
| genls(c_tptpcol_8_22020,c_tptpcol_5_20483) ) ),
inference(monotonicity,[status(thm)],[57]) ).
tff(59,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_8_22020,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_8_22020,c_tptpcol_6_20484)
| genls(c_tptpcol_8_22020,c_tptpcol_5_20483) ) ),
inference(transitivity,[status(thm)],[58,56]) ).
tff(60,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_6_20484) ),
inference(quant_inst,[status(thm)],[]) ).
tff(61,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_20484,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_6_20484)
| genls(c_tptpcol_8_22020,c_tptpcol_5_20483) ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
genls(c_tptpcol_8_22020,c_tptpcol_5_20483),
inference(unit_resolution,[status(thm)],[61,55,12,52]) ).
tff(63,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| genls(c_tptpcol_8_22020,c_tptpcol_1_1) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| genls(c_tptpcol_8_22020,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(64,plain,
( ( genls(c_tptpcol_8_22020,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483) )
<=> ( ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| genls(c_tptpcol_8_22020,c_tptpcol_1_1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(65,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| genls(c_tptpcol_8_22020,c_tptpcol_1_1) ) ),
inference(monotonicity,[status(thm)],[64]) ).
tff(66,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| genls(c_tptpcol_8_22020,c_tptpcol_1_1) ) ),
inference(transitivity,[status(thm)],[65,63]) ).
tff(67,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_22020,c_tptpcol_1_1)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483) ),
inference(quant_inst,[status(thm)],[]) ).
tff(68,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_22020,c_tptpcol_5_20483)
| ~ genls(c_tptpcol_5_20483,c_tptpcol_1_1)
| genls(c_tptpcol_8_22020,c_tptpcol_1_1) ),
inference(modus_ponens,[status(thm)],[67,66]) ).
tff(69,plain,
genls(c_tptpcol_8_22020,c_tptpcol_1_1),
inference(unit_resolution,[status(thm)],[68,12,62,42]) ).
tff(70,plain,
( genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
<=> genls(c_tptpcol_14_22072,c_tptpcol_13_22071) ),
inference(rewrite,[status(thm)],[]) ).
tff(71,axiom,
genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1975) ).
tff(72,plain,
genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
( genls(c_tptpcol_13_22071,c_tptpcol_12_22055)
<=> genls(c_tptpcol_13_22071,c_tptpcol_12_22055) ),
inference(rewrite,[status(thm)],[]) ).
tff(74,axiom,
genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1366) ).
tff(75,plain,
genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,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_13_22071,c_tptpcol_12_22055)
| genls(c_tptpcol_14_22072,c_tptpcol_12_22055) )
<=> ( ~ ! [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_13_22071,c_tptpcol_12_22055)
| genls(c_tptpcol_14_22072,c_tptpcol_12_22055) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(77,plain,
( ( genls(c_tptpcol_14_22072,c_tptpcol_12_22055)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071) )
<=> ( ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055)
| genls(c_tptpcol_14_22072,c_tptpcol_12_22055) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(78,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_22072,c_tptpcol_12_22055)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071) )
<=> ( ~ ! [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_13_22071,c_tptpcol_12_22055)
| genls(c_tptpcol_14_22072,c_tptpcol_12_22055) ) ),
inference(monotonicity,[status(thm)],[77]) ).
tff(79,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_22072,c_tptpcol_12_22055)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071) )
<=> ( ~ ! [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_13_22071,c_tptpcol_12_22055)
| genls(c_tptpcol_14_22072,c_tptpcol_12_22055) ) ),
inference(transitivity,[status(thm)],[78,76]) ).
tff(80,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_22072,c_tptpcol_12_22055)
| ~ genls(c_tptpcol_13_22071,c_tptpcol_12_22055)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_13_22071) ),
inference(quant_inst,[status(thm)],[]) ).
tff(81,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_13_22071,c_tptpcol_12_22055)
| genls(c_tptpcol_14_22072,c_tptpcol_12_22055) ),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
genls(c_tptpcol_14_22072,c_tptpcol_12_22055),
inference(unit_resolution,[status(thm)],[81,75,72,12]) ).
tff(83,plain,
( ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)
<=> ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
inference(rewrite,[status(thm)],[]) ).
tff(84,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(85,axiom,
~ ( mtvisible(c_tptp_member974_mt)
=> disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query136) ).
tff(86,plain,
~ ( ~ mtvisible(c_tptp_member974_mt)
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),
inference(or_elim,[status(thm)],[86]) ).
tff(88,plain,
~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),
inference(modus_ponens,[status(thm)],[87,83]) ).
tff(89,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
refl(( ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(90,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) ),
inference(quant_intro,[status(thm)],[89]) ).
tff(91,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ~ ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
rewrite(( ~ ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD)
| disjointwith(NEW,ARG2) ) )),
rewrite(( ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD)
| disjointwith(NEW,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) )),
( ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(92,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) ),
inference(quant_intro,[status(thm)],[91]) ).
tff(93,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(94,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(95,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)],[94]) ).
tff(96,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7586) ).
tff(97,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[97,93]) ).
tff(99,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(skolemize,[status(sab)],[98]) ).
tff(100,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(modus_ponens,[status(thm)],[99,92]) ).
tff(101,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(modus_ponens,[status(thm)],[100,90]) ).
tff(102,plain,
( genls(c_tptpcol_15_22076,c_tptpcol_14_22072)
<=> genls(c_tptpcol_15_22076,c_tptpcol_14_22072) ),
inference(rewrite,[status(thm)],[]) ).
tff(103,axiom,
genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1300) ).
tff(104,plain,
genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
inference(modus_ponens,[status(thm)],[103,102]) ).
tff(105,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072)
| ~ disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072)
| ~ disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(106,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072)
| ~ disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795) ),
inference(quant_inst,[status(thm)],[]) ).
tff(107,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_15_22076,c_tptpcol_14_22072)
| ~ disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
~ disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795),
inference(unit_resolution,[status(thm)],[107,104,101,88]) ).
tff(109,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_12_22055)
| ~ disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_12_22055)
| ~ disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(110,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_12_22055)
| ~ disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795) ),
inference(quant_inst,[status(thm)],[]) ).
tff(111,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_14_22072,c_tptpcol_12_22055)
| ~ disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795) ),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
~ disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795),
inference(unit_resolution,[status(thm)],[111,101,108,82]) ).
tff(113,plain,
( genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
<=> genls(c_tptpcol_12_22055,c_tptpcol_11_22023) ),
inference(rewrite,[status(thm)],[]) ).
tff(114,axiom,
genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_879) ).
tff(115,plain,
genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
inference(modus_ponens,[status(thm)],[114,113]) ).
tff(116,plain,
( genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
<=> genls(c_tptpcol_11_22023,c_tptpcol_10_22022) ),
inference(rewrite,[status(thm)],[]) ).
tff(117,axiom,
genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_487) ).
tff(118,plain,
genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
inference(modus_ponens,[status(thm)],[117,116]) ).
tff(119,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_12_22055,c_tptpcol_10_22022) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(120,plain,
( ( genls(c_tptpcol_12_22055,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023) )
<=> ( ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(121,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_22055,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_12_22055,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_10_22022)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ) ),
inference(monotonicity,[status(thm)],[120]) ).
tff(122,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_22055,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_12_22055,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_10_22022)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ) ),
inference(transitivity,[status(thm)],[121,119]) ).
tff(123,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_22055,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023) ),
inference(quant_inst,[status(thm)],[]) ).
tff(124,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_22023,c_tptpcol_10_22022)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_11_22023)
| genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ),
inference(modus_ponens,[status(thm)],[123,122]) ).
tff(125,plain,
genls(c_tptpcol_12_22055,c_tptpcol_10_22022),
inference(unit_resolution,[status(thm)],[124,118,115,12]) ).
tff(126,plain,
( genls(c_tptpcol_9_22021,c_tptpcol_8_22020)
<=> genls(c_tptpcol_9_22021,c_tptpcol_8_22020) ),
inference(rewrite,[status(thm)],[]) ).
tff(127,axiom,
genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1731) ).
tff(128,plain,
genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
inference(modus_ponens,[status(thm)],[127,126]) ).
tff(129,plain,
( genls(c_tptpcol_10_22022,c_tptpcol_9_22021)
<=> genls(c_tptpcol_10_22022,c_tptpcol_9_22021) ),
inference(rewrite,[status(thm)],[]) ).
tff(130,axiom,
genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_70) ).
tff(131,plain,
genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
inference(modus_ponens,[status(thm)],[130,129]) ).
tff(132,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(133,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021) ),
inference(quant_inst,[status(thm)],[]) ).
tff(134,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_9_22021,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_9_22021) ),
inference(modus_ponens,[status(thm)],[133,132]) ).
tff(135,plain,
genls(c_tptpcol_10_22022,c_tptpcol_8_22020),
inference(unit_resolution,[status(thm)],[134,131,128,12]) ).
tff(136,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,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_8_22020)
| genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(137,plain,
( ( genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_10_22022) )
<=> ( ~ genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(138,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,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_8_22020)
| genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ) ),
inference(monotonicity,[status(thm)],[137]) ).
tff(139,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,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_8_22020)
| genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ) ),
inference(transitivity,[status(thm)],[138,136]) ).
tff(140,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ),
inference(quant_inst,[status(thm)],[]) ).
tff(141,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_22022,c_tptpcol_8_22020)
| genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_10_22022) ),
inference(modus_ponens,[status(thm)],[140,139]) ).
tff(142,plain,
genls(c_tptpcol_12_22055,c_tptpcol_8_22020),
inference(unit_resolution,[status(thm)],[141,12,135,125]) ).
tff(143,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(144,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795) ),
inference(quant_inst,[status(thm)],[]) ).
tff(145,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_12_22055,c_tptpcol_8_22020)
| ~ disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795) ),
inference(modus_ponens,[status(thm)],[144,143]) ).
tff(146,plain,
~ disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795),
inference(unit_resolution,[status(thm)],[145,101,142,112]) ).
tff(147,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_1_1)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_1_1)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(148,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_1_1)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795) ),
inference(quant_inst,[status(thm)],[]) ).
tff(149,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) )
| disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_8_22020,c_tptpcol_1_1)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795) ),
inference(modus_ponens,[status(thm)],[148,147]) ).
tff(150,plain,
~ disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795),
inference(unit_resolution,[status(thm)],[149,101,146,69]) ).
tff(151,plain,
( genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
<=> genls(c_tptpcol_13_72791,c_tptpcol_12_72775) ),
inference(rewrite,[status(thm)],[]) ).
tff(152,axiom,
genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3764) ).
tff(153,plain,
genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
inference(modus_ponens,[status(thm)],[152,151]) ).
tff(154,plain,
( genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
<=> genls(c_tptpcol_14_72792,c_tptpcol_13_72791) ),
inference(rewrite,[status(thm)],[]) ).
tff(155,axiom,
genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1760) ).
tff(156,plain,
genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
inference(modus_ponens,[status(thm)],[155,154]) ).
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_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_14_72792,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_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(158,plain,
( ( genls(c_tptpcol_14_72792,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791) )
<=> ( ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(159,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_72792,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,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_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ) ),
inference(monotonicity,[status(thm)],[158]) ).
tff(160,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_72792,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,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_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ) ),
inference(transitivity,[status(thm)],[159,157]) ).
tff(161,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_72792,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_13_72791,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_13_72791) ),
inference(quant_inst,[status(thm)],[]) ).
tff(162,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_14_72792,c_tptpcol_13_72791)
| genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ),
inference(modus_ponens,[status(thm)],[161,160]) ).
tff(163,plain,
genls(c_tptpcol_14_72792,c_tptpcol_12_72775),
inference(unit_resolution,[status(thm)],[162,156,153,12]) ).
tff(164,plain,
( genls(c_tptpcol_15_72793,c_tptpcol_14_72792)
<=> genls(c_tptpcol_15_72793,c_tptpcol_14_72792) ),
inference(rewrite,[status(thm)],[]) ).
tff(165,axiom,
genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2540) ).
tff(166,plain,
genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
inference(modus_ponens,[status(thm)],[165,164]) ).
tff(167,plain,
( genls(c_tptpcol_16_72795,c_tptpcol_15_72793)
<=> genls(c_tptpcol_16_72795,c_tptpcol_15_72793) ),
inference(rewrite,[status(thm)],[]) ).
tff(168,axiom,
genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_512) ).
tff(169,plain,
genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
inference(modus_ponens,[status(thm)],[168,167]) ).
tff(170,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_14_72792)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792)
| ~ 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_14_72792)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(171,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_14_72792)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793) ),
inference(quant_inst,[status(thm)],[]) ).
tff(172,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_14_72792)
| ~ genls(c_tptpcol_15_72793,c_tptpcol_14_72792)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_15_72793) ),
inference(modus_ponens,[status(thm)],[171,170]) ).
tff(173,plain,
genls(c_tptpcol_16_72795,c_tptpcol_14_72792),
inference(unit_resolution,[status(thm)],[172,169,166,12]) ).
tff(174,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792)
| genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792)
| genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(175,plain,
( ( genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792) )
<=> ( ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792)
| genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(176,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792)
| genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ) ),
inference(monotonicity,[status(thm)],[175]) ).
tff(177,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792)
| genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ) ),
inference(transitivity,[status(thm)],[176,174]) ).
tff(178,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792) ),
inference(quant_inst,[status(thm)],[]) ).
tff(179,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_14_72792)
| genls(c_tptpcol_16_72795,c_tptpcol_12_72775)
| ~ genls(c_tptpcol_14_72792,c_tptpcol_12_72775) ),
inference(modus_ponens,[status(thm)],[178,177]) ).
tff(180,plain,
genls(c_tptpcol_16_72795,c_tptpcol_12_72775),
inference(unit_resolution,[status(thm)],[179,12,173,163]) ).
tff(181,plain,
( genls(c_tptpcol_12_72775,c_tptpcol_11_72774)
<=> genls(c_tptpcol_12_72775,c_tptpcol_11_72774) ),
inference(rewrite,[status(thm)],[]) ).
tff(182,axiom,
genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_853) ).
tff(183,plain,
genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
inference(modus_ponens,[status(thm)],[182,181]) ).
tff(184,plain,
( genls(c_tptpcol_11_72774,c_tptpcol_10_72710)
<=> genls(c_tptpcol_11_72774,c_tptpcol_10_72710) ),
inference(rewrite,[status(thm)],[]) ).
tff(185,axiom,
genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_759) ).
tff(186,plain,
genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
inference(modus_ponens,[status(thm)],[185,184]) ).
tff(187,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(188,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(189,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)],[188]) ).
tff(190,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)],[189,187]) ).
tff(191,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(192,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)],[191,190]) ).
tff(193,plain,
genls(c_tptpcol_12_72775,c_tptpcol_10_72710),
inference(unit_resolution,[status(thm)],[192,186,183,12]) ).
tff(194,plain,
( genls(c_tptpcol_9_72709,c_tptpcol_8_72708)
<=> genls(c_tptpcol_9_72709,c_tptpcol_8_72708) ),
inference(rewrite,[status(thm)],[]) ).
tff(195,axiom,
genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_615) ).
tff(196,plain,
genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
inference(modus_ponens,[status(thm)],[195,194]) ).
tff(197,plain,
( genls(c_tptpcol_10_72710,c_tptpcol_9_72709)
<=> genls(c_tptpcol_10_72710,c_tptpcol_9_72709) ),
inference(rewrite,[status(thm)],[]) ).
tff(198,axiom,
genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_227) ).
tff(199,plain,
genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
inference(modus_ponens,[status(thm)],[198,197]) ).
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_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_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(rewrite,[status(thm)],[]) ).
tff(201,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(202,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(modus_ponens,[status(thm)],[201,200]) ).
tff(203,plain,
genls(c_tptpcol_10_72710,c_tptpcol_8_72708),
inference(unit_resolution,[status(thm)],[202,199,196,12]) ).
tff(204,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_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,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_8_72708)
| genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(205,plain,
( ( genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710) )
<=> ( ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(206,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,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_8_72708)
| genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710) ) ),
inference(monotonicity,[status(thm)],[205]) ).
tff(207,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,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_8_72708)
| genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710) ) ),
inference(transitivity,[status(thm)],[206,204]) ).
tff(208,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710) ),
inference(quant_inst,[status(thm)],[]) ).
tff(209,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_72710,c_tptpcol_8_72708)
| genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_10_72710) ),
inference(modus_ponens,[status(thm)],[208,207]) ).
tff(210,plain,
genls(c_tptpcol_12_72775,c_tptpcol_8_72708),
inference(unit_resolution,[status(thm)],[209,12,203,193]) ).
tff(211,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(212,plain,
( ( genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) )
<=> ( ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(213,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) ) ),
inference(monotonicity,[status(thm)],[212]) ).
tff(214,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) ) ),
inference(transitivity,[status(thm)],[213,211]) ).
tff(215,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) ),
inference(quant_inst,[status(thm)],[]) ).
tff(216,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_72775,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_12_72775) ),
inference(modus_ponens,[status(thm)],[215,214]) ).
tff(217,plain,
genls(c_tptpcol_16_72795,c_tptpcol_8_72708),
inference(unit_resolution,[status(thm)],[216,12,210,180]) ).
tff(218,plain,
( genls(c_tptpcol_3_65538,c_tptpcol_2_65537)
<=> genls(c_tptpcol_3_65538,c_tptpcol_2_65537) ),
inference(rewrite,[status(thm)],[]) ).
tff(219,axiom,
genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_587) ).
tff(220,plain,
genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
inference(modus_ponens,[status(thm)],[219,218]) ).
tff(221,plain,
( genls(c_tptpcol_4_65539,c_tptpcol_3_65538)
<=> genls(c_tptpcol_4_65539,c_tptpcol_3_65538) ),
inference(rewrite,[status(thm)],[]) ).
tff(222,axiom,
genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_176) ).
tff(223,plain,
genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
inference(modus_ponens,[status(thm)],[222,221]) ).
tff(224,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_65539,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_65539,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(225,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_65539,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538) ),
inference(quant_inst,[status(thm)],[]) ).
tff(226,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_65539,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_3_65538,c_tptpcol_2_65537)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_3_65538) ),
inference(modus_ponens,[status(thm)],[225,224]) ).
tff(227,plain,
genls(c_tptpcol_4_65539,c_tptpcol_2_65537),
inference(unit_resolution,[status(thm)],[226,223,220,12]) ).
tff(228,plain,
( genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
<=> genls(c_tptpcol_2_65537,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],[]) ).
tff(229,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_867) ).
tff(230,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[229,228]) ).
tff(231,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_4_65539,c_tptpcol_2_65537)
| genls(c_tptpcol_4_65539,c_tptpcol_1_65536) )
<=> ( ~ ! [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_4_65539,c_tptpcol_2_65537)
| genls(c_tptpcol_4_65539,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(232,plain,
( ( genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_2_65537) )
<=> ( ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_2_65537)
| genls(c_tptpcol_4_65539,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(233,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_65539,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_4_65539,c_tptpcol_2_65537)
| genls(c_tptpcol_4_65539,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[232]) ).
tff(234,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_65539,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_4_65539,c_tptpcol_2_65537)
| genls(c_tptpcol_4_65539,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[233,231]) ).
tff(235,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_65537,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_2_65537) ),
inference(quant_inst,[status(thm)],[]) ).
tff(236,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_4_65539,c_tptpcol_2_65537)
| genls(c_tptpcol_4_65539,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[235,234]) ).
tff(237,plain,
genls(c_tptpcol_4_65539,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[236,230,12,227]) ).
tff(238,plain,
( genls(c_tptpcol_7_72707,c_tptpcol_6_71683)
<=> genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ),
inference(rewrite,[status(thm)],[]) ).
tff(239,axiom,
genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2287) ).
tff(240,plain,
genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
inference(modus_ponens,[status(thm)],[239,238]) ).
tff(241,plain,
( genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
<=> genls(c_tptpcol_8_72708,c_tptpcol_7_72707) ),
inference(rewrite,[status(thm)],[]) ).
tff(242,axiom,
genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_940) ).
tff(243,plain,
genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
inference(modus_ponens,[status(thm)],[242,241]) ).
tff(244,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_8_72708,c_tptpcol_6_71683)
| ~ 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_8_72708,c_tptpcol_7_72707)
| genls(c_tptpcol_8_72708,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(245,plain,
( ( genls(c_tptpcol_8_72708,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707) )
<=> ( ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
| genls(c_tptpcol_8_72708,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(246,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683)
| ~ 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_8_72708,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ) ),
inference(monotonicity,[status(thm)],[245]) ).
tff(247,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683)
| ~ 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_8_72708,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ) ),
inference(transitivity,[status(thm)],[246,244]) ).
tff(248,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707) ),
inference(quant_inst,[status(thm)],[]) ).
tff(249,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_72708,c_tptpcol_7_72707)
| genls(c_tptpcol_8_72708,c_tptpcol_6_71683)
| ~ genls(c_tptpcol_7_72707,c_tptpcol_6_71683) ),
inference(modus_ponens,[status(thm)],[248,247]) ).
tff(250,plain,
genls(c_tptpcol_8_72708,c_tptpcol_6_71683),
inference(unit_resolution,[status(thm)],[249,243,240,12]) ).
tff(251,plain,
( genls(c_tptpcol_5_69635,c_tptpcol_4_65539)
<=> genls(c_tptpcol_5_69635,c_tptpcol_4_65539) ),
inference(rewrite,[status(thm)],[]) ).
tff(252,axiom,
genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_814) ).
tff(253,plain,
genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
inference(modus_ponens,[status(thm)],[252,251]) ).
tff(254,plain,
( genls(c_tptpcol_6_71683,c_tptpcol_5_69635)
<=> genls(c_tptpcol_6_71683,c_tptpcol_5_69635) ),
inference(rewrite,[status(thm)],[]) ).
tff(255,axiom,
genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_20) ).
tff(256,plain,
genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
inference(modus_ponens,[status(thm)],[255,254]) ).
tff(257,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(258,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635) ),
inference(quant_inst,[status(thm)],[]) ).
tff(259,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_5_69635,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_5_69635) ),
inference(modus_ponens,[status(thm)],[258,257]) ).
tff(260,plain,
genls(c_tptpcol_6_71683,c_tptpcol_4_65539),
inference(unit_resolution,[status(thm)],[259,256,253,12]) ).
tff(261,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,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_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_6_71683) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(262,plain,
( ( genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_6_71683) )
<=> ( ~ genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_6_71683) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(263,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,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_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_6_71683) ) ),
inference(monotonicity,[status(thm)],[262]) ).
tff(264,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,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_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_6_71683) ) ),
inference(transitivity,[status(thm)],[263,261]) ).
tff(265,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_6_71683) ),
inference(quant_inst,[status(thm)],[]) ).
tff(266,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_71683,c_tptpcol_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_6_71683) ),
inference(modus_ponens,[status(thm)],[265,264]) ).
tff(267,plain,
genls(c_tptpcol_8_72708,c_tptpcol_4_65539),
inference(unit_resolution,[status(thm)],[266,12,260,250]) ).
tff(268,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(269,plain,
( ( genls(c_tptpcol_8_72708,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_4_65539) )
<=> ( ~ genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(270,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,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_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[269]) ).
tff(271,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,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_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[270,268]) ).
tff(272,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_72708,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_4_65539) ),
inference(quant_inst,[status(thm)],[]) ).
tff(273,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_65539,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_4_65539)
| genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[272,271]) ).
tff(274,plain,
genls(c_tptpcol_8_72708,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[273,12,267,237]) ).
tff(275,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(276,plain,
( ( genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708) )
<=> ( ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(277,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[276]) ).
tff(278,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[277,275]) ).
tff(279,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708) ),
inference(quant_inst,[status(thm)],[]) ).
tff(280,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_16_72795,c_tptpcol_8_72708)
| genls(c_tptpcol_16_72795,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_8_72708,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[279,278]) ).
tff(281,plain,
genls(c_tptpcol_16_72795,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[280,12,274,217]) ).
tff(282,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(283,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)],[282]) ).
tff(284,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(285,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)],[284]) ).
tff(286,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(287,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(288,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)],[287]) ).
tff(289,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7585) ).
tff(290,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[289,288]) ).
tff(291,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[290,286]) ).
tff(292,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(skolemize,[status(sab)],[291]) ).
tff(293,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[292,285]) ).
tff(294,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[293,283]) ).
tff(295,plain,
( disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
<=> disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],[]) ).
tff(296,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1248) ).
tff(297,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[296,295]) ).
tff(298,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(299,plain,
( ( disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) )
<=> ( ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(300,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) ) ),
inference(monotonicity,[status(thm)],[299]) ).
tff(301,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) ) ),
inference(transitivity,[status(thm)],[300,298]) ).
tff(302,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) ),
inference(quant_inst,[status(thm)],[]) ).
tff(303,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)
| disjointwith(c_tptpcol_1_1,c_tptpcol_16_72795)
| ~ genls(c_tptpcol_16_72795,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[302,301]) ).
tff(304,plain,
$false,
inference(unit_resolution,[status(thm)],[303,297,294,281,150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR036+3 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 12:33:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 20.87/21.08 % SZS status Theorem
% 20.87/21.08 % SZS output start Proof
% See solution above
% 21.16/21.33 % E exiting
%------------------------------------------------------------------------------