TSTP Solution File: CSR040+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR040+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 14:27:24 EDT 2022
% Result : Theorem 0.22s 0.45s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 162
% Syntax : Number of formulae : 311 ( 75 unt; 32 typ; 0 def)
% Number of atoms : 1396 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 1968 ( 903 ~; 832 |; 60 &)
% ( 144 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 52 ( 52 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 14 >; 4 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-2 aty)
% Number of variables : 581 ( 543 !; 0 ?; 581 :)
% Comments :
%------------------------------------------------------------------------------
tff(isa_type,type,
isa: ( $i * $i ) > $o ).
tff(c_tptpcol_12_109157_type,type,
c_tptpcol_12_109157: $i ).
tff(c_tptpcol_16_62187_type,type,
c_tptpcol_16_62187: $i ).
tff(tptpcol_12_109157_type,type,
tptpcol_12_109157: $i > $o ).
tff(tptpcol_13_109173_type,type,
tptpcol_13_109173: $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(c_individual_type,type,
c_individual: $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(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_tptpcol_4_106497_type,type,
c_tptpcol_4_106497: $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_11_109125_type,type,
c_tptpcol_11_109125: $i ).
tff(c_tptpcol_9_109060_type,type,
c_tptpcol_9_109060: $i ).
tff(c_tptpcol_6_108546_type,type,
c_tptpcol_6_108546: $i ).
tff(c_tptpcol_7_108547_type,type,
c_tptpcol_7_108547: $i ).
tff(c_tptpcol_5_106498_type,type,
c_tptpcol_5_106498: $i ).
tff(c_tptpcol_2_98304_type,type,
c_tptpcol_2_98304: $i ).
tff(c_tptpcol_1_65536_type,type,
c_tptpcol_1_65536: $i ).
tff(c_tptpcol_0_0_type,type,
c_tptpcol_0_0: $i ).
tff(c_tptpcol_3_98305_type,type,
c_tptpcol_3_98305: $i ).
tff(1,plain,
( tptpcol_15_109185(c_tptpcol_16_62187)
<=> tptpcol_15_109185(c_tptpcol_16_62187) ),
inference(rewrite,[status(thm)],]) ).
tff(2,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(3,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',query40) ).
tff(4,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)],[3,2]) ).
tff(5,plain,
tptpcol_15_109185(c_tptpcol_16_62187),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
tptpcol_15_109185(c_tptpcol_16_62187),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,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(8,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)],[7]) ).
tff(9,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(10,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(11,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)],[10]) ).
tff(12,axiom,
! [OBJ: $i] :
( tptpcol_15_109185(OBJ)
=> tptpcol_14_109181(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
tff(13,plain,
! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
| ~ tptpcol_15_109185(OBJ) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,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(18,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(19,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)],[18,17]) ).
tff(20,plain,
tptpcol_14_109181(c_tptpcol_16_62187),
inference(unit_resolution,[status(thm)],[19,16,6]) ).
tff(21,plain,
^ [OBJ: $i] :
refl(
( ( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) )
<=> ( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) )
<=> ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,plain,
( ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) )
<=> ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,plain,
^ [OBJ: $i] :
rewrite(
( ( tptpcol_14_109181(OBJ)
=> tptpcol_13_109173(OBJ) )
<=> ( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(25,plain,
( ! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
=> tptpcol_13_109173(OBJ) )
<=> ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,axiom,
! [OBJ: $i] :
( tptpcol_14_109181(OBJ)
=> tptpcol_13_109173(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
tff(27,plain,
! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) ),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) ),
inference(modus_ponens,[status(thm)],[27,23]) ).
tff(29,plain,
! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) ),
inference(skolemize,[status(sab)],[28]) ).
tff(30,plain,
! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) ),
inference(modus_ponens,[status(thm)],[29,22]) ).
tff(31,plain,
( ( ~ ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) )
| tptpcol_13_109173(c_tptpcol_16_62187)
| ~ tptpcol_14_109181(c_tptpcol_16_62187) )
<=> ( ~ ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) )
| tptpcol_13_109173(c_tptpcol_16_62187)
| ~ tptpcol_14_109181(c_tptpcol_16_62187) ) ),
inference(rewrite,[status(thm)],]) ).
tff(32,plain,
( ~ ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) )
| tptpcol_13_109173(c_tptpcol_16_62187)
| ~ tptpcol_14_109181(c_tptpcol_16_62187) ),
inference(quant_inst,[status(thm)],]) ).
tff(33,plain,
( ~ ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
| ~ tptpcol_14_109181(OBJ) )
| tptpcol_13_109173(c_tptpcol_16_62187)
| ~ tptpcol_14_109181(c_tptpcol_16_62187) ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
tptpcol_13_109173(c_tptpcol_16_62187),
inference(unit_resolution,[status(thm)],[33,30,20]) ).
tff(35,plain,
^ [OBJ: $i] :
refl(
( ( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) )
<=> ( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(36,plain,
( ! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) )
<=> ! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,plain,
( ! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) )
<=> ! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(38,plain,
^ [OBJ: $i] :
rewrite(
( ( tptpcol_13_109173(OBJ)
=> tptpcol_12_109157(OBJ) )
<=> ( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(39,plain,
( ! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
=> tptpcol_12_109157(OBJ) )
<=> ! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) ) ),
inference(quant_intro,[status(thm)],[38]) ).
tff(40,axiom,
! [OBJ: $i] :
( tptpcol_13_109173(OBJ)
=> tptpcol_12_109157(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
tff(41,plain,
! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) ),
inference(modus_ponens,[status(thm)],[41,37]) ).
tff(43,plain,
! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) ),
inference(skolemize,[status(sab)],[42]) ).
tff(44,plain,
! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) ),
inference(modus_ponens,[status(thm)],[43,36]) ).
tff(45,plain,
( ( ~ ! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) )
| tptpcol_12_109157(c_tptpcol_16_62187)
| ~ tptpcol_13_109173(c_tptpcol_16_62187) )
<=> ( ~ ! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) )
| tptpcol_12_109157(c_tptpcol_16_62187)
| ~ tptpcol_13_109173(c_tptpcol_16_62187) ) ),
inference(rewrite,[status(thm)],]) ).
tff(46,plain,
( ~ ! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) )
| tptpcol_12_109157(c_tptpcol_16_62187)
| ~ tptpcol_13_109173(c_tptpcol_16_62187) ),
inference(quant_inst,[status(thm)],]) ).
tff(47,plain,
( ~ ! [OBJ: $i] :
( tptpcol_12_109157(OBJ)
| ~ tptpcol_13_109173(OBJ) )
| tptpcol_12_109157(c_tptpcol_16_62187)
| ~ tptpcol_13_109173(c_tptpcol_16_62187) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
tptpcol_12_109157(c_tptpcol_16_62187),
inference(unit_resolution,[status(thm)],[47,44,34]) ).
tff(49,plain,
^ [X: $i] :
refl(
( ( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) )
<=> ( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) ) )),
inference(bind,[status(th)],]) ).
tff(50,plain,
( ! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) )
<=> ! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) ) ),
inference(quant_intro,[status(thm)],[49]) ).
tff(51,plain,
( ! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) )
<=> ! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
^ [X: $i] :
rewrite(
( ( tptpcol_12_109157(X)
=> isa(X,c_tptpcol_12_109157) )
<=> ( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) ) )),
inference(bind,[status(th)],]) ).
tff(53,plain,
( ! [X: $i] :
( tptpcol_12_109157(X)
=> isa(X,c_tptpcol_12_109157) )
<=> ! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) ) ),
inference(quant_intro,[status(thm)],[52]) ).
tff(54,axiom,
! [X: $i] :
( tptpcol_12_109157(X)
=> isa(X,c_tptpcol_12_109157) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just68) ).
tff(55,plain,
! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) ),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) ),
inference(modus_ponens,[status(thm)],[55,51]) ).
tff(57,plain,
! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) ),
inference(skolemize,[status(sab)],[56]) ).
tff(58,plain,
! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) ),
inference(modus_ponens,[status(thm)],[57,50]) ).
tff(59,plain,
( ( ~ ! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) )
| ~ tptpcol_12_109157(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_tptpcol_12_109157) )
<=> ( ~ ! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) )
| ~ tptpcol_12_109157(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_tptpcol_12_109157) ) ),
inference(rewrite,[status(thm)],]) ).
tff(60,plain,
( ~ ! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) )
| ~ tptpcol_12_109157(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_tptpcol_12_109157) ),
inference(quant_inst,[status(thm)],]) ).
tff(61,plain,
( ~ ! [X: $i] :
( ~ tptpcol_12_109157(X)
| isa(X,c_tptpcol_12_109157) )
| ~ tptpcol_12_109157(c_tptpcol_16_62187)
| isa(c_tptpcol_16_62187,c_tptpcol_12_109157) ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
isa(c_tptpcol_16_62187,c_tptpcol_12_109157),
inference(unit_resolution,[status(thm)],[61,58,48]) ).
tff(63,plain,
( firstordercollection(c_tptpcol_16_62187)
<=> firstordercollection(c_tptpcol_16_62187) ),
inference(rewrite,[status(thm)],]) ).
tff(64,axiom,
firstordercollection(c_tptpcol_16_62187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).
tff(65,plain,
firstordercollection(c_tptpcol_16_62187),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
^ [OBJ: $i] :
refl(
( ( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
<=> ( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(67,plain,
( ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
<=> ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[66]) ).
tff(68,plain,
( ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
<=> ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(69,plain,
^ [OBJ: $i] :
rewrite(
( ( firstordercollection(OBJ)
=> fixedordercollection(OBJ) )
<=> ( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(70,plain,
( ! [OBJ: $i] :
( firstordercollection(OBJ)
=> fixedordercollection(OBJ) )
<=> ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[69]) ).
tff(71,axiom,
! [OBJ: $i] :
( firstordercollection(OBJ)
=> fixedordercollection(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
tff(72,plain,
! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[72,68]) ).
tff(74,plain,
! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ),
inference(skolemize,[status(sab)],[73]) ).
tff(75,plain,
! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[74,67]) ).
tff(76,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(77,plain,
( ~ ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
| fixedordercollection(c_tptpcol_16_62187)
| ~ firstordercollection(c_tptpcol_16_62187) ),
inference(quant_inst,[status(thm)],]) ).
tff(78,plain,
( ~ ! [OBJ: $i] :
( fixedordercollection(OBJ)
| ~ firstordercollection(OBJ) )
| fixedordercollection(c_tptpcol_16_62187)
| ~ firstordercollection(c_tptpcol_16_62187) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
fixedordercollection(c_tptpcol_16_62187),
inference(unit_resolution,[status(thm)],[78,75,65]) ).
tff(80,plain,
^ [OBJ: $i] :
refl(
( ( collection(OBJ)
| ~ fixedordercollection(OBJ) )
<=> ( collection(OBJ)
| ~ fixedordercollection(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(81,plain,
( ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
<=> ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[80]) ).
tff(82,plain,
( ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
<=> ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(83,plain,
^ [OBJ: $i] :
rewrite(
( ( fixedordercollection(OBJ)
=> collection(OBJ) )
<=> ( collection(OBJ)
| ~ fixedordercollection(OBJ) ) )),
inference(bind,[status(th)],]) ).
tff(84,plain,
( ! [OBJ: $i] :
( fixedordercollection(OBJ)
=> collection(OBJ) )
<=> ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[83]) ).
tff(85,axiom,
! [OBJ: $i] :
( fixedordercollection(OBJ)
=> collection(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
tff(86,plain,
! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[86,82]) ).
tff(88,plain,
! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ),
inference(skolemize,[status(sab)],[87]) ).
tff(89,plain,
! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) ),
inference(modus_ponens,[status(thm)],[88,81]) ).
tff(90,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(91,plain,
( ~ ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
| collection(c_tptpcol_16_62187)
| ~ fixedordercollection(c_tptpcol_16_62187) ),
inference(quant_inst,[status(thm)],]) ).
tff(92,plain,
( ~ ! [OBJ: $i] :
( collection(OBJ)
| ~ fixedordercollection(OBJ) )
| collection(c_tptpcol_16_62187)
| ~ fixedordercollection(c_tptpcol_16_62187) ),
inference(modus_ponens,[status(thm)],[91,90]) ).
tff(93,plain,
collection(c_tptpcol_16_62187),
inference(unit_resolution,[status(thm)],[92,89,79]) ).
tff(94,plain,
^ [X: $i] :
refl(
( ( ~ collection(X)
| isa(X,c_collection) )
<=> ( ~ collection(X)
| isa(X,c_collection) ) )),
inference(bind,[status(th)],]) ).
tff(95,plain,
( ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(quant_intro,[status(thm)],[94]) ).
tff(96,plain,
( ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(rewrite,[status(thm)],]) ).
tff(97,plain,
^ [X: $i] :
rewrite(
( ( collection(X)
=> isa(X,c_collection) )
<=> ( ~ collection(X)
| isa(X,c_collection) ) )),
inference(bind,[status(th)],]) ).
tff(98,plain,
( ! [X: $i] :
( collection(X)
=> isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(quant_intro,[status(thm)],[97]) ).
tff(99,axiom,
! [X: $i] :
( collection(X)
=> isa(X,c_collection) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just98) ).
tff(100,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[100,96]) ).
tff(102,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(skolemize,[status(sab)],[101]) ).
tff(103,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[102,95]) ).
tff(104,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(105,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(106,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)],[105,104]) ).
tff(107,plain,
isa(c_tptpcol_16_62187,c_collection),
inference(unit_resolution,[status(thm)],[106,103,93]) ).
tff(108,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(109,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)],[108]) ).
tff(110,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(111,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)],[110]) ).
tff(112,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(113,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(114,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)],[113]) ).
tff(115,axiom,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
tff(116,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(modus_ponens,[status(thm)],[116,112]) ).
tff(118,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(skolemize,[status(sab)],[117]) ).
tff(119,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ),
inference(modus_ponens,[status(thm)],[118,111]) ).
tff(120,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ),
inference(modus_ponens,[status(thm)],[119,109]) ).
tff(121,plain,
( disjointwith(c_collection,c_individual)
<=> disjointwith(c_collection,c_individual) ),
inference(rewrite,[status(thm)],]) ).
tff(122,axiom,
disjointwith(c_collection,c_individual),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
tff(123,plain,
disjointwith(c_collection,c_individual),
inference(modus_ponens,[status(thm)],[122,121]) ).
tff(124,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(125,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(126,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)],[125,124]) ).
tff(127,plain,
~ isa(c_tptpcol_16_62187,c_individual),
inference(unit_resolution,[status(thm)],[126,123,120,107]) ).
tff(128,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(129,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(130,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)],[129]) ).
tff(131,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(132,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(133,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)],[132]) ).
tff(134,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just125) ).
tff(135,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[134,133]) ).
tff(136,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[135,131]) ).
tff(137,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(skolemize,[status(sab)],[136]) ).
tff(138,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[137,130]) ).
tff(139,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[138,128]) ).
tff(140,plain,
( genls(c_tptpcol_12_109157,c_tptpcol_11_109125)
<=> genls(c_tptpcol_12_109157,c_tptpcol_11_109125) ),
inference(rewrite,[status(thm)],]) ).
tff(141,axiom,
genls(c_tptpcol_12_109157,c_tptpcol_11_109125),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).
tff(142,plain,
genls(c_tptpcol_12_109157,c_tptpcol_11_109125),
inference(modus_ponens,[status(thm)],[141,140]) ).
tff(143,plain,
( genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
<=> genls(c_tptpcol_11_109125,c_tptpcol_10_109061) ),
inference(rewrite,[status(thm)],]) ).
tff(144,axiom,
genls(c_tptpcol_11_109125,c_tptpcol_10_109061),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
tff(145,plain,
genls(c_tptpcol_11_109125,c_tptpcol_10_109061),
inference(modus_ponens,[status(thm)],[144,143]) ).
tff(146,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) ) ),
inference(rewrite,[status(thm)],]) ).
tff(147,plain,
( ( genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) )
<=> ( ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) ) ),
inference(rewrite,[status(thm)],]) ).
tff(148,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) ) ),
inference(monotonicity,[status(thm)],[147]) ).
tff(149,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) ) ),
inference(transitivity,[status(thm)],[148,146]) ).
tff(150,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) ),
inference(quant_inst,[status(thm)],]) ).
tff(151,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_109125,c_tptpcol_10_109061)
| genls(c_tptpcol_12_109157,c_tptpcol_10_109061)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_11_109125) ),
inference(modus_ponens,[status(thm)],[150,149]) ).
tff(152,plain,
genls(c_tptpcol_12_109157,c_tptpcol_10_109061),
inference(unit_resolution,[status(thm)],[151,145,142,139]) ).
tff(153,plain,
( genls(c_tptpcol_10_109061,c_tptpcol_9_109060)
<=> genls(c_tptpcol_10_109061,c_tptpcol_9_109060) ),
inference(rewrite,[status(thm)],]) ).
tff(154,axiom,
genls(c_tptpcol_10_109061,c_tptpcol_9_109060),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
tff(155,plain,
genls(c_tptpcol_10_109061,c_tptpcol_9_109060),
inference(modus_ponens,[status(thm)],[154,153]) ).
tff(156,plain,
( genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
<=> genls(c_tptpcol_9_109060,c_tptpcol_8_109059) ),
inference(rewrite,[status(thm)],]) ).
tff(157,axiom,
genls(c_tptpcol_9_109060,c_tptpcol_8_109059),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
tff(158,plain,
genls(c_tptpcol_9_109060,c_tptpcol_8_109059),
inference(modus_ponens,[status(thm)],[157,156]) ).
tff(159,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) ) ),
inference(rewrite,[status(thm)],]) ).
tff(160,plain,
( ( genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) )
<=> ( ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) ) ),
inference(rewrite,[status(thm)],]) ).
tff(161,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) ) ),
inference(monotonicity,[status(thm)],[160]) ).
tff(162,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) ) ),
inference(transitivity,[status(thm)],[161,159]) ).
tff(163,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) ),
inference(quant_inst,[status(thm)],]) ).
tff(164,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_109060,c_tptpcol_8_109059)
| genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_9_109060) ),
inference(modus_ponens,[status(thm)],[163,162]) ).
tff(165,plain,
genls(c_tptpcol_10_109061,c_tptpcol_8_109059),
inference(unit_resolution,[status(thm)],[164,158,155,139]) ).
tff(166,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) ) ),
inference(rewrite,[status(thm)],]) ).
tff(167,plain,
( ( genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) )
<=> ( ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) ) ),
inference(rewrite,[status(thm)],]) ).
tff(168,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) ) ),
inference(monotonicity,[status(thm)],[167]) ).
tff(169,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) ) ),
inference(transitivity,[status(thm)],[168,166]) ).
tff(170,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) ),
inference(quant_inst,[status(thm)],]) ).
tff(171,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_10_109061,c_tptpcol_8_109059)
| genls(c_tptpcol_12_109157,c_tptpcol_8_109059)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_10_109061) ),
inference(modus_ponens,[status(thm)],[170,169]) ).
tff(172,plain,
genls(c_tptpcol_12_109157,c_tptpcol_8_109059),
inference(unit_resolution,[status(thm)],[171,139,165,152]) ).
tff(173,plain,
( genls(c_tptpcol_8_109059,c_tptpcol_7_108547)
<=> genls(c_tptpcol_8_109059,c_tptpcol_7_108547) ),
inference(rewrite,[status(thm)],]) ).
tff(174,axiom,
genls(c_tptpcol_8_109059,c_tptpcol_7_108547),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
tff(175,plain,
genls(c_tptpcol_8_109059,c_tptpcol_7_108547),
inference(modus_ponens,[status(thm)],[174,173]) ).
tff(176,plain,
( genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
<=> genls(c_tptpcol_7_108547,c_tptpcol_6_108546) ),
inference(rewrite,[status(thm)],]) ).
tff(177,axiom,
genls(c_tptpcol_7_108547,c_tptpcol_6_108546),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
tff(178,plain,
genls(c_tptpcol_7_108547,c_tptpcol_6_108546),
inference(modus_ponens,[status(thm)],[177,176]) ).
tff(179,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_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,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_tptpcol_6_108546)
| genls(c_tptpcol_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547) ) ),
inference(rewrite,[status(thm)],]) ).
tff(180,plain,
( ( genls(c_tptpcol_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547) )
<=> ( ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
| genls(c_tptpcol_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547) ) ),
inference(rewrite,[status(thm)],]) ).
tff(181,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,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_tptpcol_6_108546)
| genls(c_tptpcol_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547) ) ),
inference(monotonicity,[status(thm)],[180]) ).
tff(182,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,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_tptpcol_6_108546)
| genls(c_tptpcol_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547) ) ),
inference(transitivity,[status(thm)],[181,179]) ).
tff(183,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_7_108547,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547) ),
inference(quant_inst,[status(thm)],]) ).
tff(184,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_8_109059,c_tptpcol_6_108546)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_7_108547) ),
inference(modus_ponens,[status(thm)],[183,182]) ).
tff(185,plain,
genls(c_tptpcol_8_109059,c_tptpcol_6_108546),
inference(unit_resolution,[status(thm)],[184,178,175,139]) ).
tff(186,plain,
( genls(c_tptpcol_6_108546,c_tptpcol_5_106498)
<=> genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ),
inference(rewrite,[status(thm)],]) ).
tff(187,axiom,
genls(c_tptpcol_6_108546,c_tptpcol_5_106498),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
tff(188,plain,
genls(c_tptpcol_6_108546,c_tptpcol_5_106498),
inference(modus_ponens,[status(thm)],[187,186]) ).
tff(189,plain,
( genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
<=> genls(c_tptpcol_5_106498,c_tptpcol_4_106497) ),
inference(rewrite,[status(thm)],]) ).
tff(190,axiom,
genls(c_tptpcol_5_106498,c_tptpcol_4_106497),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).
tff(191,plain,
genls(c_tptpcol_5_106498,c_tptpcol_4_106497),
inference(modus_ponens,[status(thm)],[190,189]) ).
tff(192,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_6_108546,c_tptpcol_4_106497)
| ~ 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_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ) ),
inference(rewrite,[status(thm)],]) ).
tff(193,plain,
( ( genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) )
<=> ( ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ) ),
inference(rewrite,[status(thm)],]) ).
tff(194,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| ~ 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_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ) ),
inference(monotonicity,[status(thm)],[193]) ).
tff(195,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| ~ 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_5_106498,c_tptpcol_4_106497)
| genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ) ),
inference(transitivity,[status(thm)],[194,192]) ).
tff(196,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_5_106498,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ),
inference(quant_inst,[status(thm)],]) ).
tff(197,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_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_5_106498) ),
inference(modus_ponens,[status(thm)],[196,195]) ).
tff(198,plain,
genls(c_tptpcol_6_108546,c_tptpcol_4_106497),
inference(unit_resolution,[status(thm)],[197,191,188,139]) ).
tff(199,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) ) ),
inference(rewrite,[status(thm)],]) ).
tff(200,plain,
( ( genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) )
<=> ( ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) ) ),
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_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) ) ),
inference(monotonicity,[status(thm)],[200]) ).
tff(202,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) ) ),
inference(transitivity,[status(thm)],[201,199]) ).
tff(203,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) ),
inference(quant_inst,[status(thm)],]) ).
tff(204,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_108546,c_tptpcol_4_106497)
| genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_6_108546) ),
inference(modus_ponens,[status(thm)],[203,202]) ).
tff(205,plain,
genls(c_tptpcol_8_109059,c_tptpcol_4_106497),
inference(unit_resolution,[status(thm)],[204,139,198,185]) ).
tff(206,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,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_4_106497)
| genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_8_109059) ) ),
inference(rewrite,[status(thm)],]) ).
tff(207,plain,
( ( genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_8_109059) )
<=> ( ~ genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_8_109059) ) ),
inference(rewrite,[status(thm)],]) ).
tff(208,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,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_4_106497)
| genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_8_109059) ) ),
inference(monotonicity,[status(thm)],[207]) ).
tff(209,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,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_4_106497)
| genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_8_109059) ) ),
inference(transitivity,[status(thm)],[208,206]) ).
tff(210,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_8_109059) ),
inference(quant_inst,[status(thm)],]) ).
tff(211,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_109059,c_tptpcol_4_106497)
| genls(c_tptpcol_12_109157,c_tptpcol_4_106497)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_8_109059) ),
inference(modus_ponens,[status(thm)],[210,209]) ).
tff(212,plain,
genls(c_tptpcol_12_109157,c_tptpcol_4_106497),
inference(unit_resolution,[status(thm)],[211,139,205,172]) ).
tff(213,plain,
( genls(c_tptpcol_1_65536,c_tptpcol_0_0)
<=> genls(c_tptpcol_1_65536,c_tptpcol_0_0) ),
inference(rewrite,[status(thm)],]) ).
tff(214,axiom,
genls(c_tptpcol_1_65536,c_tptpcol_0_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just18) ).
tff(215,plain,
genls(c_tptpcol_1_65536,c_tptpcol_0_0),
inference(modus_ponens,[status(thm)],[214,213]) ).
tff(216,plain,
( genls(c_tptpcol_0_0,c_individual)
<=> genls(c_tptpcol_0_0,c_individual) ),
inference(rewrite,[status(thm)],]) ).
tff(217,axiom,
genls(c_tptpcol_0_0,c_individual),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
tff(218,plain,
genls(c_tptpcol_0_0,c_individual),
inference(modus_ponens,[status(thm)],[217,216]) ).
tff(219,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_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(220,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(221,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)],[220]) ).
tff(222,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)],[221,219]) ).
tff(223,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(224,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)],[223,222]) ).
tff(225,plain,
genls(c_tptpcol_1_65536,c_individual),
inference(unit_resolution,[status(thm)],[224,218,215,139]) ).
tff(226,plain,
( genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
<=> genls(c_tptpcol_2_98304,c_tptpcol_1_65536) ),
inference(rewrite,[status(thm)],]) ).
tff(227,axiom,
genls(c_tptpcol_2_98304,c_tptpcol_1_65536),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just20) ).
tff(228,plain,
genls(c_tptpcol_2_98304,c_tptpcol_1_65536),
inference(modus_ponens,[status(thm)],[227,226]) ).
tff(229,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_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual) )
<=> ( ~ ! [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_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(230,plain,
( ( genls(c_tptpcol_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536) )
<=> ( ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536)
| genls(c_tptpcol_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(231,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536) )
<=> ( ~ ! [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_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual) ) ),
inference(monotonicity,[status(thm)],[230]) ).
tff(232,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536) )
<=> ( ~ ! [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_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual) ) ),
inference(transitivity,[status(thm)],[231,229]) ).
tff(233,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual)
| ~ genls(c_tptpcol_2_98304,c_tptpcol_1_65536) ),
inference(quant_inst,[status(thm)],]) ).
tff(234,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_2_98304,c_individual)
| ~ genls(c_tptpcol_1_65536,c_individual) ),
inference(modus_ponens,[status(thm)],[233,232]) ).
tff(235,plain,
genls(c_tptpcol_2_98304,c_individual),
inference(unit_resolution,[status(thm)],[234,228,139,225]) ).
tff(236,plain,
( genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
<=> genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ),
inference(rewrite,[status(thm)],]) ).
tff(237,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just24) ).
tff(238,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(modus_ponens,[status(thm)],[237,236]) ).
tff(239,plain,
( genls(c_tptpcol_3_98305,c_tptpcol_2_98304)
<=> genls(c_tptpcol_3_98305,c_tptpcol_2_98304) ),
inference(rewrite,[status(thm)],]) ).
tff(240,axiom,
genls(c_tptpcol_3_98305,c_tptpcol_2_98304),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just22) ).
tff(241,plain,
genls(c_tptpcol_3_98305,c_tptpcol_2_98304),
inference(modus_ponens,[status(thm)],[240,239]) ).
tff(242,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ 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_3_98305,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(243,plain,
( ( genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) )
<=> ( ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(244,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304)
| ~ 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_3_98305,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[243]) ).
tff(245,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304)
| ~ 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_3_98305,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[244,242]) ).
tff(246,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ),
inference(quant_inst,[status(thm)],]) ).
tff(247,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_3_98305,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[246,245]) ).
tff(248,plain,
genls(c_tptpcol_4_106497,c_tptpcol_2_98304),
inference(unit_resolution,[status(thm)],[247,241,238,139]) ).
tff(249,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(250,plain,
( ( genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304) )
<=> ( ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(251,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual) ) ),
inference(monotonicity,[status(thm)],[250]) ).
tff(252,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual) ) ),
inference(transitivity,[status(thm)],[251,249]) ).
tff(253,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304) ),
inference(quant_inst,[status(thm)],]) ).
tff(254,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_2_98304)
| genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_2_98304,c_individual) ),
inference(modus_ponens,[status(thm)],[253,252]) ).
tff(255,plain,
genls(c_tptpcol_4_106497,c_individual),
inference(unit_resolution,[status(thm)],[254,139,248,235]) ).
tff(256,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_individual)
| genls(c_tptpcol_12_109157,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_individual)
| genls(c_tptpcol_12_109157,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) ) ),
inference(rewrite,[status(thm)],]) ).
tff(257,plain,
( ( genls(c_tptpcol_12_109157,c_individual)
| ~ genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) )
<=> ( ~ genls(c_tptpcol_4_106497,c_individual)
| genls(c_tptpcol_12_109157,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) ) ),
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_12_109157,c_individual)
| ~ genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_individual)
| genls(c_tptpcol_12_109157,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) ) ),
inference(monotonicity,[status(thm)],[257]) ).
tff(259,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_individual)
| ~ genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_individual)
| genls(c_tptpcol_12_109157,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) ) ),
inference(transitivity,[status(thm)],[258,256]) ).
tff(260,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_12_109157,c_individual)
| ~ genls(c_tptpcol_4_106497,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) ),
inference(quant_inst,[status(thm)],]) ).
tff(261,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_individual)
| genls(c_tptpcol_12_109157,c_individual)
| ~ genls(c_tptpcol_12_109157,c_tptpcol_4_106497) ),
inference(modus_ponens,[status(thm)],[260,259]) ).
tff(262,plain,
genls(c_tptpcol_12_109157,c_individual),
inference(unit_resolution,[status(thm)],[261,139,255,212]) ).
tff(263,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(264,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)],[263]) ).
tff(265,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(266,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)],[265]) ).
tff(267,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(268,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(269,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)],[268]) ).
tff(270,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
=> isa(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just111) ).
tff(271,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[270,269]) ).
tff(272,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[271,267]) ).
tff(273,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(skolemize,[status(sab)],[272]) ).
tff(274,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[273,266]) ).
tff(275,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[274,264]) ).
tff(276,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_12_109157,c_individual)
| ~ isa(c_tptpcol_16_62187,c_tptpcol_12_109157) )
<=> ( ~ ! [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_12_109157,c_individual)
| ~ isa(c_tptpcol_16_62187,c_tptpcol_12_109157) ) ),
inference(rewrite,[status(thm)],]) ).
tff(277,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_12_109157,c_individual)
| ~ isa(c_tptpcol_16_62187,c_tptpcol_12_109157) ),
inference(quant_inst,[status(thm)],]) ).
tff(278,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_12_109157,c_individual)
| ~ isa(c_tptpcol_16_62187,c_tptpcol_12_109157) ),
inference(modus_ponens,[status(thm)],[277,276]) ).
tff(279,plain,
$false,
inference(unit_resolution,[status(thm)],[278,275,262,127,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR040+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.36 % Computer : n012.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 30 17:39:35 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 0.22/0.45 % SZS status Theorem
% 0.22/0.45 % SZS output start Proof
% See solution above
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