TSTP Solution File: CSR061+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR061+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 14:27:49 EDT 2022
% Result : Theorem 4.54s 4.76s
% Output : Proof 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 130
% Syntax : Number of formulae : 247 ( 64 unt; 22 typ; 0 def)
% Number of atoms : 1310 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 1932 ( 893 ~; 849 |; 48 &)
% ( 128 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 46 ( 46 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 576 ( 548 !; 0 ?; 576 :)
% Comments :
%------------------------------------------------------------------------------
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptpcol_14_118118_type,type,
c_tptpcol_14_118118: $i ).
tff(c_tptpcol_3_98305_type,type,
c_tptpcol_3_98305: $i ).
tff(c_tptpcol_13_118117_type,type,
c_tptpcol_13_118117: $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_tptpcol_3_114688_type,type,
c_tptpcol_3_114688: $i ).
tff(c_tptpcol_8_117763_type,type,
c_tptpcol_8_117763: $i ).
tff(c_tptpcol_11_118084_type,type,
c_tptpcol_11_118084: $i ).
tff(c_tptpcol_10_118020_type,type,
c_tptpcol_10_118020: $i ).
tff(c_tptpcol_9_118019_type,type,
c_tptpcol_9_118019: $i ).
tff(c_tptpcol_12_118116_type,type,
c_tptpcol_12_118116: $i ).
tff(c_tptpcol_6_116738_type,type,
c_tptpcol_6_116738: $i ).
tff(c_tptpcol_5_114690_type,type,
c_tptpcol_5_114690: $i ).
tff(c_tptpcol_4_114689_type,type,
c_tptpcol_4_114689: $i ).
tff(c_tptpcol_7_117762_type,type,
c_tptpcol_7_117762: $i ).
tff(c_tptpcol_8_114177_type,type,
c_tptpcol_8_114177: $i ).
tff(c_tptpcol_6_112641_type,type,
c_tptpcol_6_112641: $i ).
tff(c_tptpcol_5_110593_type,type,
c_tptpcol_5_110593: $i ).
tff(c_tptpcol_4_106497_type,type,
c_tptpcol_4_106497: $i ).
tff(c_tptpcol_7_113665_type,type,
c_tptpcol_7_113665: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_timehasnoendmt_type,type,
c_timehasnoendmt: $i ).
tff(1,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
rewrite(
( ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) ) )),
rewrite(
( ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(3,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[2]) ).
tff(4,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],]) ).
tff(5,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(
( ( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) )),
inference(bind,[status(th)],]) ).
tff(6,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just101) ).
tff(8,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(skolemize,[status(sab)],[9]) ).
tff(11,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[11,1]) ).
tff(13,plain,
( genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
<=> genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ),
inference(rewrite,[status(thm)],]) ).
tff(14,axiom,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).
tff(15,plain,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
<=> genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ),
inference(rewrite,[status(thm)],]) ).
tff(17,axiom,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).
tff(18,plain,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
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_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ) ),
inference(rewrite,[status(thm)],]) ).
tff(20,plain,
( ( genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(22,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ) ),
inference(transitivity,[status(thm)],[21,19]) ).
tff(23,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ),
inference(quant_inst,[status(thm)],]) ).
tff(24,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
| genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
genls(c_tptpcol_10_118020,c_tptpcol_8_117763),
inference(unit_resolution,[status(thm)],[24,18,15,12]) ).
tff(26,plain,
( genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
<=> genls(c_tptpcol_11_118084,c_tptpcol_10_118020) ),
inference(rewrite,[status(thm)],]) ).
tff(27,axiom,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).
tff(28,plain,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],]) ).
tff(30,plain,
( ( genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) )
<=> ( ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],]) ).
tff(31,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ) ),
inference(monotonicity,[status(thm)],[30]) ).
tff(32,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ) ),
inference(transitivity,[status(thm)],[31,29]) ).
tff(33,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) ),
inference(quant_inst,[status(thm)],]) ).
tff(34,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
| ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
| genls(c_tptpcol_11_118084,c_tptpcol_8_117763) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
genls(c_tptpcol_11_118084,c_tptpcol_8_117763),
inference(unit_resolution,[status(thm)],[34,28,12,25]) ).
tff(36,plain,
( genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
<=> genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ),
inference(rewrite,[status(thm)],]) ).
tff(37,axiom,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).
tff(38,plain,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
<=> genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ),
inference(rewrite,[status(thm)],]) ).
tff(40,axiom,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
tff(41,plain,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ) ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
( ( genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) )
<=> ( ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ) ),
inference(rewrite,[status(thm)],]) ).
tff(44,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ) ),
inference(monotonicity,[status(thm)],[43]) ).
tff(45,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ) ),
inference(transitivity,[status(thm)],[44,42]) ).
tff(46,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ),
inference(quant_inst,[status(thm)],]) ).
tff(47,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
| genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
genls(c_tptpcol_13_118117,c_tptpcol_11_118084),
inference(unit_resolution,[status(thm)],[47,41,38,12]) ).
tff(49,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_13_118117,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],]) ).
tff(50,plain,
( ( genls(c_tptpcol_13_118117,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084) )
<=> ( ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],]) ).
tff(51,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ) ),
inference(monotonicity,[status(thm)],[50]) ).
tff(52,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ) ),
inference(transitivity,[status(thm)],[51,49]) ).
tff(53,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084) ),
inference(quant_inst,[status(thm)],]) ).
tff(54,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
| ~ genls(c_tptpcol_11_118084,c_tptpcol_8_117763)
| genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
genls(c_tptpcol_13_118117,c_tptpcol_8_117763),
inference(unit_resolution,[status(thm)],[54,12,48,35]) ).
tff(56,plain,
( genls(c_tptpcol_5_114690,c_tptpcol_4_114689)
<=> genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
inference(rewrite,[status(thm)],]) ).
tff(57,axiom,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).
tff(58,plain,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
( genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
<=> genls(c_tptpcol_4_114689,c_tptpcol_3_114688) ),
inference(rewrite,[status(thm)],]) ).
tff(60,axiom,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
tff(61,plain,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
inference(rewrite,[status(thm)],]) ).
tff(63,plain,
( ( genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
<=> ( ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
inference(rewrite,[status(thm)],]) ).
tff(64,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
inference(monotonicity,[status(thm)],[63]) ).
tff(65,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
inference(transitivity,[status(thm)],[64,62]) ).
tff(66,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
inference(quant_inst,[status(thm)],]) ).
tff(67,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
| genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
genls(c_tptpcol_5_114690,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[67,61,58,12]) ).
tff(69,plain,
( genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
<=> genls(c_tptpcol_6_116738,c_tptpcol_5_114690) ),
inference(rewrite,[status(thm)],]) ).
tff(70,axiom,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).
tff(71,plain,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],]) ).
tff(73,plain,
( ( genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
<=> ( ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],]) ).
tff(74,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(monotonicity,[status(thm)],[73]) ).
tff(75,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ) ),
inference(transitivity,[status(thm)],[74,72]) ).
tff(76,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) ),
inference(quant_inst,[status(thm)],]) ).
tff(77,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
| genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688) ),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
genls(c_tptpcol_6_116738,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[77,71,12,68]) ).
tff(79,plain,
( genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
<=> genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
inference(rewrite,[status(thm)],]) ).
tff(80,axiom,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).
tff(81,plain,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
( genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
<=> genls(c_tptpcol_7_117762,c_tptpcol_6_116738) ),
inference(rewrite,[status(thm)],]) ).
tff(83,axiom,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).
tff(84,plain,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ) ),
inference(rewrite,[status(thm)],]) ).
tff(86,plain,
( ( genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
<=> ( ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ) ),
inference(rewrite,[status(thm)],]) ).
tff(87,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ) ),
inference(monotonicity,[status(thm)],[86]) ).
tff(88,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ) ),
inference(transitivity,[status(thm)],[87,85]) ).
tff(89,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
inference(quant_inst,[status(thm)],]) ).
tff(90,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
genls(c_tptpcol_8_117763,c_tptpcol_6_116738),
inference(unit_resolution,[status(thm)],[90,84,81,12]) ).
tff(92,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],]) ).
tff(93,plain,
( ( genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
<=> ( ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(rewrite,[status(thm)],]) ).
tff(94,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(monotonicity,[status(thm)],[93]) ).
tff(95,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
inference(transitivity,[status(thm)],[94,92]) ).
tff(96,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) ),
inference(quant_inst,[status(thm)],]) ).
tff(97,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
| genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
genls(c_tptpcol_8_117763,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[97,12,91,78]) ).
tff(99,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],]) ).
tff(100,plain,
( ( genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) )
<=> ( ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ) ),
inference(rewrite,[status(thm)],]) ).
tff(101,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ) ),
inference(monotonicity,[status(thm)],[100]) ).
tff(102,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ) ),
inference(transitivity,[status(thm)],[101,99]) ).
tff(103,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ),
inference(quant_inst,[status(thm)],]) ).
tff(104,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_8_117763) ),
inference(modus_ponens,[status(thm)],[103,102]) ).
tff(105,plain,
genls(c_tptpcol_13_118117,c_tptpcol_3_114688),
inference(unit_resolution,[status(thm)],[104,12,98,55]) ).
tff(106,plain,
^ [X: $i,Y: $i] :
refl(
( ( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(107,plain,
( ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(quant_intro,[status(thm)],[106]) ).
tff(108,plain,
( ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(109,plain,
^ [X: $i,Y: $i] :
rewrite(
( ( disjointwith(X,Y)
=> disjointwith(Y,X) )
<=> ( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(110,plain,
( ! [X: $i,Y: $i] :
( disjointwith(X,Y)
=> disjointwith(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ) ),
inference(quant_intro,[status(thm)],[109]) ).
tff(111,axiom,
! [X: $i,Y: $i] :
( disjointwith(X,Y)
=> disjointwith(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).
tff(112,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[111,110]) ).
tff(113,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[112,108]) ).
tff(114,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(skolemize,[status(sab)],[113]) ).
tff(115,plain,
! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) ),
inference(modus_ponens,[status(thm)],[114,107]) ).
tff(116,plain,
( disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
<=> disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688) ),
inference(rewrite,[status(thm)],]) ).
tff(117,axiom,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).
tff(118,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(modus_ponens,[status(thm)],[117,116]) ).
tff(119,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(120,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ),
inference(quant_inst,[status(thm)],]) ).
tff(121,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[120,119]) ).
tff(122,plain,
disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[121,118,115]) ).
tff(123,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
refl(
( ( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
<=> ( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(124,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) ),
inference(quant_intro,[status(thm)],[123]) ).
tff(125,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ~ ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
rewrite(
( ~ ~ ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD)
| disjointwith(NEW,ARG2) ) )),
rewrite(
( ( ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD)
| disjointwith(NEW,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(126,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ) ),
inference(quant_intro,[status(thm)],[125]) ).
tff(127,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(128,plain,
^ [OLD: $i,ARG2: $i,NEW: $i] :
rewrite(
( ( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) )
<=> ( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ) )),
inference(bind,[status(th)],]) ).
tff(129,plain,
( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) )
<=> ! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ) ),
inference(quant_intro,[status(thm)],[128]) ).
tff(130,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).
tff(131,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[130,129]) ).
tff(132,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(modus_ponens,[status(thm)],[131,127]) ).
tff(133,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ~ ( disjointwith(OLD,ARG2)
& genls(NEW,OLD) )
| disjointwith(NEW,ARG2) ),
inference(skolemize,[status(sab)],[132]) ).
tff(134,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[133,126]) ).
tff(135,plain,
! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[134,124]) ).
tff(136,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(137,plain,
( ( disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688) )
<=> ( ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(138,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[137]) ).
tff(139,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[138,136]) ).
tff(140,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688) ),
inference(quant_inst,[status(thm)],]) ).
tff(141,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[140,139]) ).
tff(142,plain,
disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[141,135,122,105]) ).
tff(143,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) ) ),
inference(rewrite,[status(thm)],]) ).
tff(144,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) ),
inference(quant_inst,[status(thm)],]) ).
tff(145,plain,
( ~ ! [X: $i,Y: $i] :
( ~ disjointwith(X,Y)
| disjointwith(Y,X) )
| ~ disjointwith(c_tptpcol_13_118117,c_tptpcol_3_98305)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) ),
inference(modus_ponens,[status(thm)],[144,143]) ).
tff(146,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117),
inference(unit_resolution,[status(thm)],[145,115,142]) ).
tff(147,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
refl(
( ( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
<=> ( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(148,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) ),
inference(quant_intro,[status(thm)],[147]) ).
tff(149,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
<=> ~ ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
<=> ~ ~ ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
rewrite(
( ~ ~ ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
<=> ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
<=> ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD)
| disjointwith(ARG1,NEW) ) )),
rewrite(
( ( ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD)
| disjointwith(ARG1,NEW) )
<=> ( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
( ( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(150,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ) ),
inference(quant_intro,[status(thm)],[149]) ).
tff(151,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],]) ).
tff(152,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(
( ( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) )
<=> ( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ) )),
inference(bind,[status(th)],]) ).
tff(153,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[152]) ).
tff(154,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).
tff(155,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[154,153]) ).
tff(156,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[155,151]) ).
tff(157,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( disjointwith(ARG1,OLD)
& genls(NEW,OLD) )
| disjointwith(ARG1,NEW) ),
inference(skolemize,[status(sab)],[156]) ).
tff(158,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[157,150]) ).
tff(159,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) ),
inference(modus_ponens,[status(thm)],[158,148]) ).
tff(160,plain,
( genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
<=> genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ),
inference(rewrite,[status(thm)],]) ).
tff(161,axiom,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
tff(162,plain,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
inference(modus_ponens,[status(thm)],[161,160]) ).
tff(163,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) ) ),
inference(rewrite,[status(thm)],]) ).
tff(164,plain,
( ( disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
<=> ( ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) ) ),
inference(rewrite,[status(thm)],]) ).
tff(165,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) ) ),
inference(monotonicity,[status(thm)],[164]) ).
tff(166,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) ) ),
inference(transitivity,[status(thm)],[165,163]) ).
tff(167,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117)
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ),
inference(quant_inst,[status(thm)],]) ).
tff(168,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( disjointwith(ARG1,NEW)
| ~ disjointwith(ARG1,OLD)
| ~ genls(NEW,OLD) )
| ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
| disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_13_118117) ),
inference(modus_ponens,[status(thm)],[167,166]) ).
tff(169,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118),
inference(unit_resolution,[status(thm)],[168,162,159,146]) ).
tff(170,plain,
( genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
<=> genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ),
inference(rewrite,[status(thm)],]) ).
tff(171,axiom,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
tff(172,plain,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
inference(modus_ponens,[status(thm)],[171,170]) ).
tff(173,plain,
( genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
<=> genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ),
inference(rewrite,[status(thm)],]) ).
tff(174,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
tff(175,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(modus_ponens,[status(thm)],[174,173]) ).
tff(176,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ) ),
inference(rewrite,[status(thm)],]) ).
tff(177,plain,
( ( genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ) ),
inference(rewrite,[status(thm)],]) ).
tff(178,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ) ),
inference(monotonicity,[status(thm)],[177]) ).
tff(179,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ) ),
inference(transitivity,[status(thm)],[178,176]) ).
tff(180,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ),
inference(quant_inst,[status(thm)],]) ).
tff(181,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
| genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ),
inference(modus_ponens,[status(thm)],[180,179]) ).
tff(182,plain,
genls(c_tptpcol_5_110593,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[181,175,172,12]) ).
tff(183,plain,
( genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
<=> genls(c_tptpcol_6_112641,c_tptpcol_5_110593) ),
inference(rewrite,[status(thm)],]) ).
tff(184,axiom,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
tff(185,plain,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
inference(modus_ponens,[status(thm)],[184,183]) ).
tff(186,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(187,plain,
( ( genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) )
<=> ( ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(188,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[187]) ).
tff(189,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[188,186]) ).
tff(190,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) ),
inference(quant_inst,[status(thm)],]) ).
tff(191,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
| genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[190,189]) ).
tff(192,plain,
genls(c_tptpcol_6_112641,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[191,185,12,182]) ).
tff(193,plain,
( genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
<=> genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
inference(rewrite,[status(thm)],]) ).
tff(194,axiom,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
tff(195,plain,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
inference(modus_ponens,[status(thm)],[194,193]) ).
tff(196,plain,
( genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
<=> genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ),
inference(rewrite,[status(thm)],]) ).
tff(197,axiom,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
tff(198,plain,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
inference(modus_ponens,[status(thm)],[197,196]) ).
tff(199,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ) ),
inference(rewrite,[status(thm)],]) ).
tff(200,plain,
( ( genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ) ),
inference(rewrite,[status(thm)],]) ).
tff(201,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ) ),
inference(monotonicity,[status(thm)],[200]) ).
tff(202,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ) ),
inference(transitivity,[status(thm)],[201,199]) ).
tff(203,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
inference(quant_inst,[status(thm)],]) ).
tff(204,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
inference(modus_ponens,[status(thm)],[203,202]) ).
tff(205,plain,
genls(c_tptpcol_8_114177,c_tptpcol_6_112641),
inference(unit_resolution,[status(thm)],[204,198,195,12]) ).
tff(206,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(207,plain,
( ( genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641) )
<=> ( ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
inference(rewrite,[status(thm)],]) ).
tff(208,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
inference(monotonicity,[status(thm)],[207]) ).
tff(209,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
inference(transitivity,[status(thm)],[208,206]) ).
tff(210,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641) ),
inference(quant_inst,[status(thm)],]) ).
tff(211,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
| genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ),
inference(modus_ponens,[status(thm)],[210,209]) ).
tff(212,plain,
genls(c_tptpcol_8_114177,c_tptpcol_3_98305),
inference(unit_resolution,[status(thm)],[211,12,205,192]) ).
tff(213,plain,
( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
<=> ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(rewrite,[status(thm)],]) ).
tff(214,plain,
( ~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) )
<=> ~ ( ~ mtvisible(c_timehasnoendmt)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ) ),
inference(rewrite,[status(thm)],]) ).
tff(215,axiom,
~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query61) ).
tff(216,plain,
~ ( ~ mtvisible(c_timehasnoendmt)
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(modus_ponens,[status(thm)],[215,214]) ).
tff(217,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(or_elim,[status(thm)],[216]) ).
tff(218,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(modus_ponens,[status(thm)],[217,213]) ).
tff(219,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ) ),
inference(rewrite,[status(thm)],]) ).
tff(220,plain,
( ( disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) )
<=> ( disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ) ),
inference(rewrite,[status(thm)],]) ).
tff(221,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ) ),
inference(monotonicity,[status(thm)],[220]) ).
tff(222,plain,
( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) )
<=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ) ),
inference(transitivity,[status(thm)],[221,219]) ).
tff(223,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(quant_inst,[status(thm)],]) ).
tff(224,plain,
( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
( disjointwith(NEW,ARG2)
| ~ disjointwith(OLD,ARG2)
| ~ genls(NEW,OLD) )
| disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ),
inference(modus_ponens,[status(thm)],[223,222]) ).
tff(225,plain,
$false,
inference(unit_resolution,[status(thm)],[224,135,218,212,169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR061+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:14:48 EDT 2022
% 0.13/0.34 % 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.
% 4.54/4.76 % SZS status Theorem
% 4.54/4.76 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------