TSTP Solution File: CSR040+3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR040+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 14:27:25 EDT 2022
% Result : Theorem 31.39s 20.59s
% Output : Proof 31.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 158
% Syntax : Number of formulae : 297 ( 75 unt; 32 typ; 0 def)
% Number of atoms : 1356 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 1938 ( 895 ~; 824 |; 60 &)
% ( 136 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 48 ( 48 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 12 >; 4 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-2 aty)
% Number of variables : 571 ( 537 !; 0 ?; 571 :)
% Comments :
%------------------------------------------------------------------------------
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_individual_type,type,
c_individual: $i ).
tff(c_tptpcol_14_109181_type,type,
c_tptpcol_14_109181: $i ).
tff(c_tptpcol_7_108547_type,type,
c_tptpcol_7_108547: $i ).
tff(c_tptpcol_3_98305_type,type,
c_tptpcol_3_98305: $i ).
tff(c_tptpcol_5_106498_type,type,
c_tptpcol_5_106498: $i ).
tff(c_tptpcol_6_108546_type,type,
c_tptpcol_6_108546: $i ).
tff(c_tptpcol_4_106497_type,type,
c_tptpcol_4_106497: $i ).
tff(c_tptpcol_1_65536_type,type,
c_tptpcol_1_65536: $i ).
tff(c_tptpcol_2_98304_type,type,
c_tptpcol_2_98304: $i ).
tff(c_tptpcol_0_0_type,type,
c_tptpcol_0_0: $i ).
tff(c_tptpcol_11_109125_type,type,
c_tptpcol_11_109125: $i ).
tff(c_tptpcol_9_109060_type,type,
c_tptpcol_9_109060: $i ).
tff(c_tptpcol_8_109059_type,type,
c_tptpcol_8_109059: $i ).
tff(c_tptpcol_10_109061_type,type,
c_tptpcol_10_109061: $i ).
tff(c_tptpcol_13_109173_type,type,
c_tptpcol_13_109173: $i ).
tff(c_tptpcol_12_109157_type,type,
c_tptpcol_12_109157: $i ).
tff(isa_type,type,
isa: ( $i * $i ) > $o ).
tff(c_tptpcol_16_62187_type,type,
c_tptpcol_16_62187: $i ).
tff(c_collection_type,type,
c_collection: $i ).
tff(collection_type,type,
collection: $i > $o ).
tff(fixedordercollection_type,type,
fixedordercollection: $i > $o ).
tff(firstordercollection_type,type,
firstordercollection: $i > $o ).
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(tptpcol_14_109181_type,type,
tptpcol_14_109181: $i > $o ).
tff(tptpcol_15_109185_type,type,
tptpcol_15_109185: $i > $o ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(f_contentmtofcdafromeventfn_type,type,
f_contentmtofcdafromeventfn: ( $i * $i ) > $i ).
tff(c_translation_14_type,type,
c_translation_14: $i ).
tff(f_urlreferentfn_type,type,
f_urlreferentfn: $i > $i ).
tff(f_urlfn_type,type,
f_urlfn: $i > $i ).
tff(s_http_wwwthedailybulletincompostcardsmar9chtm_type,type,
s_http_wwwthedailybulletincompostcardsmar9chtm: $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_6_108546,c_tptpcol_5_106498)
<=> genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ),
inference(rewrite,[status(thm)],]) ).
tff(14,axiom,
genls(c_tptpcol_6_108546,c_tptpcol_5_106498),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3060) ).
tff(15,plain,
genls(c_tptpcol_6_108546,c_tptpcol_5_106498),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
<=> genls(c_tptpcol_7_108547,c_tptpcol_6_108546) ),
inference(rewrite,[status(thm)],]) ).
tff(17,axiom,
genls(c_tptpcol_7_108547,c_tptpcol_6_108546),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1246) ).
tff(18,plain,
genls(c_tptpcol_7_108547,c_tptpcol_6_108546),
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_7_108547,c_tptpcol_6_108546)
| genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
| genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ) ),
inference(rewrite,[status(thm)],]) ).
tff(20,plain,
( ( genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546) )
<=> ( ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
| genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ) ),
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_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
| genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ) ),
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_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
| genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ) ),
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_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546) ),
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_7_108547,c_tptpcol_6_108546)
| genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
genls(c_tptpcol_7_108547,c_tptpcol_5_106498),
inference(unit_resolution,[status(thm)],[24,18,15,12]) ).
tff(26,plain,
( genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
<=> genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ),
inference(rewrite,[status(thm)],]) ).
tff(27,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2474) ).
tff(28,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
<=> genls(c_tptpcol_5_106498,c_tptpcol_4_106497) ),
inference(rewrite,[status(thm)],]) ).
tff(30,axiom,
genls(c_tptpcol_5_106498,c_tptpcol_4_106497),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1095) ).
tff(31,plain,
genls(c_tptpcol_5_106498,c_tptpcol_4_106497),
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_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(33,plain,
( ( genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497) )
<=> ( ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(34,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[33]) ).
tff(35,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[34,32]) ).
tff(36,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497) ),
inference(quant_inst,[status(thm)],]) ).
tff(37,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
genls(c_tptpcol_5_106498,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[37,31,28,12]) ).
tff(39,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| genls(c_tptpcol_7_108547,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
( ( genls(c_tptpcol_7_108547,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498) )
<=> ( ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(41,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_108547,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[40]) ).
tff(42,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_108547,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[41,39]) ).
tff(43,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_108547,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498) ),
inference(quant_inst,[status(thm)],]) ).
tff(44,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_tptpcol_5_106498)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_3_98305)
| genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
genls(c_tptpcol_7_108547,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[44,12,38,25]) ).
tff(46,plain,
( genls(c_tptpcol_3_98305,c_tptpcol_2_98304)
<=> genls(c_tptpcol_3_98305,c_tptpcol_2_98304) ),
inference(rewrite,[status(thm)],]) ).
tff(47,axiom,
genls(c_tptpcol_3_98305,c_tptpcol_2_98304),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1443) ).
tff(48,plain,
genls(c_tptpcol_3_98305,c_tptpcol_2_98304),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
( genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
<=> genls(c_tptpcol_2_98304,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],]) ).
tff(50,axiom,
genls(c_tptpcol_2_98304,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1281) ).
tff(51,plain,
genls(c_tptpcol_2_98304,c_tptpcol_1_65536),
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_2_98304,c_tptpcol_1_65536)
| genls(c_tptpcol_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
| genls(c_tptpcol_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
( ( genls(c_tptpcol_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) )
<=> ( ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
| genls(c_tptpcol_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) ) ),
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_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
| genls(c_tptpcol_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) ) ),
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_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
| genls(c_tptpcol_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) ) ),
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_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) ),
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_2_98304,c_tptpcol_1_65536)
| genls(c_tptpcol_3_98305,c_tptpcol_1_65536)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
genls(c_tptpcol_3_98305,c_tptpcol_1_65536),
inference(unit_resolution,[status(thm)],[57,51,48,12]) ).
tff(59,plain,
( genls(c_tptpcol_1_65536,c_tptpcol_0_0)
<=> genls(c_tptpcol_1_65536,c_tptpcol_0_0) ),
inference(rewrite,[status(thm)],]) ).
tff(60,axiom,
genls(c_tptpcol_1_65536,c_tptpcol_0_0),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_677) ).
tff(61,plain,
genls(c_tptpcol_1_65536,c_tptpcol_0_0),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
( genls(c_tptpcol_0_0,c_individual)
<=> genls(c_tptpcol_0_0,c_individual) ),
inference(rewrite,[status(thm)],]) ).
tff(63,axiom,
genls(c_tptpcol_0_0,c_individual),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_178) ).
tff(64,plain,
genls(c_tptpcol_0_0,c_individual),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_0_0,c_individual)
| genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_0_0,c_individual)
| genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,plain,
( ( genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_0_0,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) )
<=> ( ~ genls(c_tptpcol_0_0,c_individual)
| genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(67,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_0_0,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_0_0,c_individual)
| genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) ) ),
inference(monotonicity,[status(thm)],[66]) ).
tff(68,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_0_0,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_0_0,c_individual)
| genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) ) ),
inference(transitivity,[status(thm)],[67,65]) ).
tff(69,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_0_0,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) ),
inference(quant_inst,[status(thm)],]) ).
tff(70,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_0_0,c_individual)
| genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_1_65536,c_tptpcol_0_0) ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
genls(c_tptpcol_1_65536,c_individual),
inference(unit_resolution,[status(thm)],[70,64,61,12]) ).
tff(72,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_1_65536,c_individual)
| genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_1_65536,c_individual)
| genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) ) ),
inference(rewrite,[status(thm)],]) ).
tff(73,plain,
( ( genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) )
<=> ( ~ genls(c_tptpcol_1_65536,c_individual)
| genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) ) ),
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_3_98305,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_1_65536,c_individual)
| genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) ) ),
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_3_98305,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_1_65536,c_individual)
| genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) ) ),
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_3_98305,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) ),
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_1_65536,c_individual)
| genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_1_65536) ),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
genls(c_tptpcol_3_98305,c_individual),
inference(unit_resolution,[status(thm)],[77,12,71,58]) ).
tff(79,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_98305,c_individual)
| genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_98305,c_individual)
| genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(80,plain,
( ( genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) )
<=> ( ~ genls(c_tptpcol_3_98305,c_individual)
| genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(81,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_98305,c_individual)
| genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[80]) ).
tff(82,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_98305,c_individual)
| genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[81,79]) ).
tff(83,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_3_98305,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ),
inference(quant_inst,[status(thm)],]) ).
tff(84,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_98305,c_individual)
| genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
genls(c_tptpcol_7_108547,c_individual),
inference(unit_resolution,[status(thm)],[84,12,78,45]) ).
tff(86,plain,
( genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
<=> genls(c_tptpcol_9_109060,c_tptpcol_8_109059) ),
inference(rewrite,[status(thm)],]) ).
tff(87,axiom,
genls(c_tptpcol_9_109060,c_tptpcol_8_109059),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1980) ).
tff(88,plain,
genls(c_tptpcol_9_109060,c_tptpcol_8_109059),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
( genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
<=> genls(c_tptpcol_8_109059,c_tptpcol_7_108547) ),
inference(rewrite,[status(thm)],]) ).
tff(90,axiom,
genls(c_tptpcol_8_109059,c_tptpcol_7_108547),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_644) ).
tff(91,plain,
genls(c_tptpcol_8_109059,c_tptpcol_7_108547),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) ) ),
inference(rewrite,[status(thm)],]) ).
tff(93,plain,
( ( genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) )
<=> ( ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) ) ),
inference(rewrite,[status(thm)],]) ).
tff(94,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) ) ),
inference(monotonicity,[status(thm)],[93]) ).
tff(95,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) ) ),
inference(transitivity,[status(thm)],[94,92]) ).
tff(96,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) ),
inference(quant_inst,[status(thm)],]) ).
tff(97,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
| genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
genls(c_tptpcol_9_109060,c_tptpcol_7_108547),
inference(unit_resolution,[status(thm)],[97,91,88,12]) ).
tff(99,plain,
( genls(c_tptpcol_10_109061,c_tptpcol_9_109060)
<=> genls(c_tptpcol_10_109061,c_tptpcol_9_109060) ),
inference(rewrite,[status(thm)],]) ).
tff(100,axiom,
genls(c_tptpcol_10_109061,c_tptpcol_9_109060),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3251) ).
tff(101,plain,
genls(c_tptpcol_10_109061,c_tptpcol_9_109060),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
( genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
<=> genls(c_tptpcol_11_109125,c_tptpcol_10_109061) ),
inference(rewrite,[status(thm)],]) ).
tff(103,axiom,
genls(c_tptpcol_11_109125,c_tptpcol_10_109061),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1101) ).
tff(104,plain,
genls(c_tptpcol_11_109125,c_tptpcol_10_109061),
inference(modus_ponens,[status(thm)],[103,102]) ).
tff(105,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_109125,c_tptpcol_9_109060)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_109125,c_tptpcol_9_109060)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061) ) ),
inference(rewrite,[status(thm)],]) ).
tff(106,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_109125,c_tptpcol_9_109060)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061) ),
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_11_109125,c_tptpcol_9_109060)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
genls(c_tptpcol_11_109125,c_tptpcol_9_109060),
inference(unit_resolution,[status(thm)],[107,104,101,12]) ).
tff(109,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_109125,c_tptpcol_9_109060)
| genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_109125,c_tptpcol_9_109060)
| genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547) ) ),
inference(rewrite,[status(thm)],]) ).
tff(110,plain,
( ( genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_9_109060) )
<=> ( ~ genls(c_tptpcol_11_109125,c_tptpcol_9_109060)
| genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547) ) ),
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_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_9_109060) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_109125,c_tptpcol_9_109060)
| genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547) ) ),
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_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_9_109060) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_109125,c_tptpcol_9_109060)
| genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547) ) ),
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_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_9_109060) ),
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_11_109125,c_tptpcol_9_109060)
| genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_7_108547) ),
inference(modus_ponens,[status(thm)],[113,112]) ).
tff(115,plain,
genls(c_tptpcol_11_109125,c_tptpcol_7_108547),
inference(unit_resolution,[status(thm)],[114,12,108,98]) ).
tff(116,plain,
( genls(c_tptpcol_12_109157,c_tptpcol_11_109125)
<=> genls(c_tptpcol_12_109157,c_tptpcol_11_109125) ),
inference(rewrite,[status(thm)],]) ).
tff(117,axiom,
genls(c_tptpcol_12_109157,c_tptpcol_11_109125),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2335) ).
tff(118,plain,
genls(c_tptpcol_12_109157,c_tptpcol_11_109125),
inference(modus_ponens,[status(thm)],[117,116]) ).
tff(119,plain,
( genls(c_tptpcol_13_109173,c_tptpcol_12_109157)
<=> genls(c_tptpcol_13_109173,c_tptpcol_12_109157) ),
inference(rewrite,[status(thm)],]) ).
tff(120,axiom,
genls(c_tptpcol_13_109173,c_tptpcol_12_109157),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_118) ).
tff(121,plain,
genls(c_tptpcol_13_109173,c_tptpcol_12_109157),
inference(modus_ponens,[status(thm)],[120,119]) ).
tff(122,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_109173,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_12_109157) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_109173,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_12_109157) ) ),
inference(rewrite,[status(thm)],]) ).
tff(123,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_109173,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_12_109157) ),
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_13_109173,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_12_109157) ),
inference(modus_ponens,[status(thm)],[123,122]) ).
tff(125,plain,
genls(c_tptpcol_13_109173,c_tptpcol_11_109125),
inference(unit_resolution,[status(thm)],[124,121,118,12]) ).
tff(126,plain,
( genls(c_tptpcol_14_109181,c_tptpcol_13_109173)
<=> genls(c_tptpcol_14_109181,c_tptpcol_13_109173) ),
inference(rewrite,[status(thm)],]) ).
tff(127,axiom,
genls(c_tptpcol_14_109181,c_tptpcol_13_109173),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1399) ).
tff(128,plain,
genls(c_tptpcol_14_109181,c_tptpcol_13_109173),
inference(modus_ponens,[status(thm)],[127,126]) ).
tff(129,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_109181,c_tptpcol_13_109173)
| genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_109181,c_tptpcol_13_109173)
| genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125) ) ),
inference(rewrite,[status(thm)],]) ).
tff(130,plain,
( ( genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_13_109173) )
<=> ( ~ genls(c_tptpcol_14_109181,c_tptpcol_13_109173)
| genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125) ) ),
inference(rewrite,[status(thm)],]) ).
tff(131,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_13_109173) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_109181,c_tptpcol_13_109173)
| genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125) ) ),
inference(monotonicity,[status(thm)],[130]) ).
tff(132,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_13_109173) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_109181,c_tptpcol_13_109173)
| genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125) ) ),
inference(transitivity,[status(thm)],[131,129]) ).
tff(133,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_13_109173) ),
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_14_109181,c_tptpcol_13_109173)
| genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| ~ genls(c_tptpcol_13_109173,c_tptpcol_11_109125) ),
inference(modus_ponens,[status(thm)],[133,132]) ).
tff(135,plain,
genls(c_tptpcol_14_109181,c_tptpcol_11_109125),
inference(unit_resolution,[status(thm)],[134,128,12,125]) ).
tff(136,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| genls(c_tptpcol_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| genls(c_tptpcol_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547) ) ),
inference(rewrite,[status(thm)],]) ).
tff(137,plain,
( ( genls(c_tptpcol_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_11_109125) )
<=> ( ~ genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| genls(c_tptpcol_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547) ) ),
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_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_11_109125) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| genls(c_tptpcol_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547) ) ),
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_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_11_109125) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_14_109181,c_tptpcol_11_109125)
| genls(c_tptpcol_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547) ) ),
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_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_11_109125) ),
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_14_109181,c_tptpcol_11_109125)
| genls(c_tptpcol_14_109181,c_tptpcol_7_108547)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_7_108547) ),
inference(modus_ponens,[status(thm)],[140,139]) ).
tff(142,plain,
genls(c_tptpcol_14_109181,c_tptpcol_7_108547),
inference(unit_resolution,[status(thm)],[141,12,135,115]) ).
tff(143,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_individual)
| genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_individual)
| genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) ) ),
inference(rewrite,[status(thm)],]) ).
tff(144,plain,
( ( genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) )
<=> ( ~ genls(c_tptpcol_7_108547,c_individual)
| genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) ) ),
inference(rewrite,[status(thm)],]) ).
tff(145,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_individual)
| genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) ) ),
inference(monotonicity,[status(thm)],[144]) ).
tff(146,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_individual)
| genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) ) ),
inference(transitivity,[status(thm)],[145,143]) ).
tff(147,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_7_108547,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) ),
inference(quant_inst,[status(thm)],]) ).
tff(148,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_108547,c_individual)
| genls(c_tptpcol_14_109181,c_individual)
| ~ genls(c_tptpcol_14_109181,c_tptpcol_7_108547) ),
inference(modus_ponens,[status(thm)],[147,146]) ).
tff(149,plain,
genls(c_tptpcol_14_109181,c_individual),
inference(unit_resolution,[status(thm)],[148,12,142,85]) ).
tff(150,plain,
^ [OBJ: $i] :
refl(
( ( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
<=> ( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(151,plain,
( ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
<=> ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[150]) ).
tff(152,plain,
( ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
<=> ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(153,plain,
^ [OBJ: $i] :
rewrite(
( ( firstordercollection(OBJ)
=> fixedordercollection(OBJ) )
<=> ( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(154,plain,
( ! [OBJ: $i] :
( firstordercollection(OBJ)
=> fixedordercollection(OBJ) )
<=> ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[153]) ).
tff(155,axiom,
! [OBJ: $i] :
( firstordercollection(OBJ)
=> fixedordercollection(OBJ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3241) ).
tff(156,plain,
! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[155,154]) ).
tff(157,plain,
! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[156,152]) ).
tff(158,plain,
! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ),
inference(skolemize,[status(sab)],[157]) ).
tff(159,plain,
! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[158,151]) ).
tff(160,plain,
( firstordercollection(c_tptpcol_16_62187)
<=> firstordercollection(c_tptpcol_16_62187) ),
inference(rewrite,[status(thm)],]) ).
tff(161,axiom,
firstordercollection(c_tptpcol_16_62187),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3081) ).
tff(162,plain,
firstordercollection(c_tptpcol_16_62187),
inference(modus_ponens,[status(thm)],[161,160]) ).
tff(163,plain,
( ( ~ ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
| fixedordercollection(c_tptpcol_16_62187)
| ~ firstordercollection(c_tptpcol_16_62187) )
<=> ( ~ ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
| fixedordercollection(c_tptpcol_16_62187)
| ~ firstordercollection(c_tptpcol_16_62187) ) ),
inference(rewrite,[status(thm)],]) ).
tff(164,plain,
( ~ ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
| fixedordercollection(c_tptpcol_16_62187)
| ~ firstordercollection(c_tptpcol_16_62187) ),
inference(quant_inst,[status(thm)],]) ).
tff(165,plain,
( ~ ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
| fixedordercollection(c_tptpcol_16_62187)
| ~ firstordercollection(c_tptpcol_16_62187) ),
inference(modus_ponens,[status(thm)],[164,163]) ).
tff(166,plain,
fixedordercollection(c_tptpcol_16_62187),
inference(unit_resolution,[status(thm)],[165,162,159]) ).
tff(167,plain,
^ [OBJ: $i] :
refl(
( ( collection(OBJ)
| ~ fixedordercollection(OBJ) )
<=> ( collection(OBJ)
| ~ fixedordercollection(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(168,plain,
( ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
<=> ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[167]) ).
tff(169,plain,
( ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
<=> ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(170,plain,
^ [OBJ: $i] :
rewrite(
( ( fixedordercollection(OBJ)
=> collection(OBJ) )
<=> ( collection(OBJ)
| ~ fixedordercollection(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(171,plain,
( ! [OBJ: $i] :
( fixedordercollection(OBJ)
=> collection(OBJ) )
<=> ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[170]) ).
tff(172,axiom,
! [OBJ: $i] :
( fixedordercollection(OBJ)
=> collection(OBJ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_477) ).
tff(173,plain,
! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[172,171]) ).
tff(174,plain,
! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[173,169]) ).
tff(175,plain,
! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ),
inference(skolemize,[status(sab)],[174]) ).
tff(176,plain,
! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[175,168]) ).
tff(177,plain,
( ( ~ ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
| collection(c_tptpcol_16_62187)
| ~ fixedordercollection(c_tptpcol_16_62187) )
<=> ( ~ ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
| collection(c_tptpcol_16_62187)
| ~ fixedordercollection(c_tptpcol_16_62187) ) ),
inference(rewrite,[status(thm)],]) ).
tff(178,plain,
( ~ ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
| collection(c_tptpcol_16_62187)
| ~ fixedordercollection(c_tptpcol_16_62187) ),
inference(quant_inst,[status(thm)],]) ).
tff(179,plain,
( ~ ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
| collection(c_tptpcol_16_62187)
| ~ fixedordercollection(c_tptpcol_16_62187) ),
inference(modus_ponens,[status(thm)],[178,177]) ).
tff(180,plain,
collection(c_tptpcol_16_62187),
inference(unit_resolution,[status(thm)],[179,176,166]) ).
tff(181,plain,
^ [X: $i] :
refl(
( ( ~ collection(X)
| isa(X,c_collection) )
<=> ( ~ collection(X)
| isa(X,c_collection) ) )),
inference(bind,[status(th)],]) ).
tff(182,plain,
( ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(quant_intro,[status(thm)],[181]) ).
tff(183,plain,
( ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(rewrite,[status(thm)],]) ).
tff(184,plain,
^ [X: $i] :
rewrite(
( ( collection(X)
=> isa(X,c_collection) )
<=> ( ~ collection(X)
| isa(X,c_collection) ) )),
inference(bind,[status(th)],]) ).
tff(185,plain,
( ! [X: $i] :
( collection(X)
=> isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(quant_intro,[status(thm)],[184]) ).
tff(186,axiom,
! [X: $i] :
( collection(X)
=> isa(X,c_collection) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7957) ).
tff(187,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[186,185]) ).
tff(188,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[187,183]) ).
tff(189,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(skolemize,[status(sab)],[188]) ).
tff(190,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[189,182]) ).
tff(191,plain,
( ( ~ ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
| ~ collection(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_collection) )
<=> ( ~ ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
| ~ collection(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_collection) ) ),
inference(rewrite,[status(thm)],]) ).
tff(192,plain,
( ~ ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
| ~ collection(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_collection) ),
inference(quant_inst,[status(thm)],]) ).
tff(193,plain,
( ~ ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
| ~ collection(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_collection) ),
inference(modus_ponens,[status(thm)],[192,191]) ).
tff(194,plain,
isa(c_tptpcol_16_62187,c_collection),
inference(unit_resolution,[status(thm)],[193,190,180]) ).
tff(195,plain,
( disjointwith(c_collection,c_individual)
<=> disjointwith(c_collection,c_individual) ),
inference(rewrite,[status(thm)],]) ).
tff(196,axiom,
disjointwith(c_collection,c_individual),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3090) ).
tff(197,plain,
disjointwith(c_collection,c_individual),
inference(modus_ponens,[status(thm)],[196,195]) ).
tff(198,plain,
^ [OBJ: $i,COL1: $i,COL2: $i] :
refl(
( ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
<=> ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
inference(bind,[status(th)],]) ).
tff(199,plain,
( ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
<=> ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) ),
inference(quant_intro,[status(thm)],[198]) ).
tff(200,plain,
^ [OBJ: $i,COL1: $i,COL2: $i] :
trans(
monotonicity(
rewrite(
( ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ~ ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
( ~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ~ ~ ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
rewrite(
( ~ ~ ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
<=> ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
( ~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
inference(bind,[status(th)],]) ).
tff(201,plain,
( ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) ),
inference(quant_intro,[status(thm)],[200]) ).
tff(202,plain,
( ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(203,plain,
^ [OBJ: $i,COL1: $i,COL2: $i] :
rewrite(
( ~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ) )),
inference(bind,[status(th)],]) ).
tff(204,plain,
( ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ) ),
inference(quant_intro,[status(thm)],[203]) ).
tff(205,axiom,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_848) ).
tff(206,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(modus_ponens,[status(thm)],[205,204]) ).
tff(207,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(modus_ponens,[status(thm)],[206,202]) ).
tff(208,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(skolemize,[status(sab)],[207]) ).
tff(209,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ),
inference(modus_ponens,[status(thm)],[208,201]) ).
tff(210,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ),
inference(modus_ponens,[status(thm)],[209,199]) ).
tff(211,plain,
( ( ~ ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
| ~ disjointwith(c_collection,c_individual)
| ~ isa(c_tptpcol_16_62187,c_collection)
| ~ isa(c_tptpcol_16_62187,c_individual) )
<=> ( ~ ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
| ~ disjointwith(c_collection,c_individual)
| ~ isa(c_tptpcol_16_62187,c_collection)
| ~ isa(c_tptpcol_16_62187,c_individual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(212,plain,
( ~ ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
| ~ disjointwith(c_collection,c_individual)
| ~ isa(c_tptpcol_16_62187,c_collection)
| ~ isa(c_tptpcol_16_62187,c_individual) ),
inference(quant_inst,[status(thm)],]) ).
tff(213,plain,
( ~ ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
| ~ disjointwith(c_collection,c_individual)
| ~ isa(c_tptpcol_16_62187,c_collection)
| ~ isa(c_tptpcol_16_62187,c_individual) ),
inference(modus_ponens,[status(thm)],[212,211]) ).
tff(214,plain,
~ isa(c_tptpcol_16_62187,c_individual),
inference(unit_resolution,[status(thm)],[213,210,197,194]) ).
tff(215,plain,
( tptpcol_15_109185(c_tptpcol_16_62187)
<=> tptpcol_15_109185(c_tptpcol_16_62187) ),
inference(rewrite,[status(thm)],]) ).
tff(216,plain,
( ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
=> ~ tptpcol_15_109185(c_tptpcol_16_62187) )
<=> ~ ( ~ tptpcol_15_109185(c_tptpcol_16_62187)
| ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(217,axiom,
~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
=> ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query140) ).
tff(218,plain,
~ ( ~ tptpcol_15_109185(c_tptpcol_16_62187)
| ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14)) ),
inference(modus_ponens,[status(thm)],[217,216]) ).
tff(219,plain,
tptpcol_15_109185(c_tptpcol_16_62187),
inference(or_elim,[status(thm)],[218]) ).
tff(220,plain,
tptpcol_15_109185(c_tptpcol_16_62187),
inference(modus_ponens,[status(thm)],[219,215]) ).
tff(221,plain,
^ [OBJ: $i] :
refl(
( ( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) )
<=> ( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(222,plain,
( ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) )
<=> ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ) ),
inference(quant_intro,[status(thm)],[221]) ).
tff(223,plain,
( ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) )
<=> ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(224,plain,
^ [OBJ: $i] :
rewrite(
( ( tptpcol_15_109185(OBJ)
=> tptpcol_14_109181(OBJ) )
<=> ( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(225,plain,
( ! [OBJ: $i] :
( tptpcol_15_109185(OBJ)
=> tptpcol_14_109181(OBJ) )
<=> ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ) ),
inference(quant_intro,[status(thm)],[224]) ).
tff(226,axiom,
! [OBJ: $i] :
( tptpcol_15_109185(OBJ)
=> tptpcol_14_109181(OBJ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_634) ).
tff(227,plain,
! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ),
inference(modus_ponens,[status(thm)],[226,225]) ).
tff(228,plain,
! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ),
inference(modus_ponens,[status(thm)],[227,223]) ).
tff(229,plain,
! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ),
inference(skolemize,[status(sab)],[228]) ).
tff(230,plain,
! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ),
inference(modus_ponens,[status(thm)],[229,222]) ).
tff(231,plain,
( ( ~ ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) )
| tptpcol_14_109181(c_tptpcol_16_62187)
| ~ tptpcol_15_109185(c_tptpcol_16_62187) )
<=> ( ~ ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) )
| tptpcol_14_109181(c_tptpcol_16_62187)
| ~ tptpcol_15_109185(c_tptpcol_16_62187) ) ),
inference(rewrite,[status(thm)],]) ).
tff(232,plain,
( ~ ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) )
| tptpcol_14_109181(c_tptpcol_16_62187)
| ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
inference(quant_inst,[status(thm)],]) ).
tff(233,plain,
( ~ ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) )
| tptpcol_14_109181(c_tptpcol_16_62187)
| ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
inference(modus_ponens,[status(thm)],[232,231]) ).
tff(234,plain,
tptpcol_14_109181(c_tptpcol_16_62187),
inference(unit_resolution,[status(thm)],[233,230,220]) ).
tff(235,plain,
^ [X: $i] :
refl(
( ( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) )
<=> ( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) ) )),
inference(bind,[status(th)],]) ).
tff(236,plain,
( ! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) )
<=> ! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) ) ),
inference(quant_intro,[status(thm)],[235]) ).
tff(237,plain,
( ! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) )
<=> ! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) ) ),
inference(rewrite,[status(thm)],]) ).
tff(238,plain,
^ [X: $i] :
rewrite(
( ( tptpcol_14_109181(X)
=> isa(X,c_tptpcol_14_109181) )
<=> ( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) ) )),
inference(bind,[status(th)],]) ).
tff(239,plain,
( ! [X: $i] :
( tptpcol_14_109181(X)
=> isa(X,c_tptpcol_14_109181) )
<=> ! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) ) ),
inference(quant_intro,[status(thm)],[238]) ).
tff(240,axiom,
! [X: $i] :
( tptpcol_14_109181(X)
=> isa(X,c_tptpcol_14_109181) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7607) ).
tff(241,plain,
! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) ),
inference(modus_ponens,[status(thm)],[240,239]) ).
tff(242,plain,
! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) ),
inference(modus_ponens,[status(thm)],[241,237]) ).
tff(243,plain,
! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) ),
inference(skolemize,[status(sab)],[242]) ).
tff(244,plain,
! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) ),
inference(modus_ponens,[status(thm)],[243,236]) ).
tff(245,plain,
( ( ~ ! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) )
| ~ tptpcol_14_109181(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_tptpcol_14_109181) )
<=> ( ~ ! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) )
| ~ tptpcol_14_109181(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_tptpcol_14_109181) ) ),
inference(rewrite,[status(thm)],]) ).
tff(246,plain,
( ~ ! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) )
| ~ tptpcol_14_109181(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_tptpcol_14_109181) ),
inference(quant_inst,[status(thm)],]) ).
tff(247,plain,
( ~ ! [X: $i] :
( ~ tptpcol_14_109181(X)
| isa(X,c_tptpcol_14_109181) )
| ~ tptpcol_14_109181(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_tptpcol_14_109181) ),
inference(modus_ponens,[status(thm)],[246,245]) ).
tff(248,plain,
isa(c_tptpcol_16_62187,c_tptpcol_14_109181),
inference(unit_resolution,[status(thm)],[247,244,234]) ).
tff(249,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
refl(
( ( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
<=> ( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(250,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[249]) ).
tff(251,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ~ ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
rewrite(
( ~ ~ ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
<=> ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
( ( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD)
| isa(ARG1,NEW) ) )),
rewrite(
( ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD)
| isa(ARG1,NEW) )
<=> ( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
( ( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) )
<=> ( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(252,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[251]) ).
tff(253,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],]) ).
tff(254,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(
( ( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
=> isa(ARG1,NEW) )
<=> ( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ) )),
inference(bind,[status(th)],]) ).
tff(255,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
=> isa(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[254]) ).
tff(256,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
=> isa(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7982) ).
tff(257,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[256,255]) ).
tff(258,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[257,253]) ).
tff(259,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(skolemize,[status(sab)],[258]) ).
tff(260,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[259,252]) ).
tff(261,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[260,250]) ).
tff(262,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| isa(c_tptpcol_16_62187,c_individual)
| ~ genls(c_tptpcol_14_109181,c_individual)
| ~ isa(c_tptpcol_16_62187,c_tptpcol_14_109181) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| isa(c_tptpcol_16_62187,c_individual)
| ~ genls(c_tptpcol_14_109181,c_individual)
| ~ isa(c_tptpcol_16_62187,c_tptpcol_14_109181) ) ),
inference(rewrite,[status(thm)],]) ).
tff(263,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| isa(c_tptpcol_16_62187,c_individual)
| ~ genls(c_tptpcol_14_109181,c_individual)
| ~ isa(c_tptpcol_16_62187,c_tptpcol_14_109181) ),
inference(quant_inst,[status(thm)],]) ).
tff(264,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| isa(c_tptpcol_16_62187,c_individual)
| ~ genls(c_tptpcol_14_109181,c_individual)
| ~ isa(c_tptpcol_16_62187,c_tptpcol_14_109181) ),
inference(modus_ponens,[status(thm)],[263,262]) ).
tff(265,plain,
$false,
inference(unit_resolution,[status(thm)],[264,261,248,214,149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR040+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 17:56:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 31.39/20.59 % SZS status Theorem
% 31.39/20.59 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------