%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL941_5 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:17:45 PM UTC 2026
% Result : Theorem 0.15s 10.76s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of formulae : 183 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 1792 ( 0 equ)
% Maximal formula atoms : 448 ( 9 avg)
% Number of connectives : 2410 ( 801 ~;1284 |; 212 &)
% ( 1 <=>; 112 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 22 con; 0-2 aty)
% Number of variables : 755 ( 0 sgn 755 !; 0 ?; 755 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'$ki_world': $tType ).
tff(decl_23,type,
'$ki_local_world': '$ki_world' ).
tff(decl_24,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(decl_26,type,
e0: $i ).
tff(decl_27,type,
e1: $i ).
tff(decl_28,type,
e2: $i ).
tff(decl_29,type,
e3: $i ).
tff(decl_30,type,
qmltpeq: ( $i * ( $i * '$ki_world' ) ) > $o ).
tff(decl_32,type,
op: ( $i * $i ) > $i ).
tff(decl_34,type,
epred1_1: '$ki_world' > $o ).
tff(decl_114,type,
esk80_0: '$ki_world' ).
tff(decl_115,type,
esk81_0: '$ki_world' ).
tff(decl_116,type,
esk82_0: '$ki_world' ).
tff(decl_117,type,
esk83_0: '$ki_world' ).
tff(decl_118,type,
esk84_0: '$ki_world' ).
tff(decl_119,type,
esk85_0: '$ki_world' ).
tff(decl_120,type,
esk86_0: '$ki_world' ).
tff(decl_121,type,
esk87_0: '$ki_world' ).
tff(decl_122,type,
esk88_0: '$ki_world' ).
tff(decl_123,type,
esk89_0: '$ki_world' ).
tff(decl_124,type,
esk90_0: '$ki_world' ).
tff(decl_125,type,
esk91_0: '$ki_world' ).
tff(decl_126,type,
esk92_0: '$ki_world' ).
tff(decl_127,type,
esk93_0: '$ki_world' ).
tff(decl_128,type,
esk94_0: '$ki_world' ).
tff(decl_129,type,
esk95_0: '$ki_world' ).
tff(decl_130,type,
esk96_0: '$ki_world' ).
tff(verify,conjecture,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ ( ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e3) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e3) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e3) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e3) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e2) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e1) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e0) ) ) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e3) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e3) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e3) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e3) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e2) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e2) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e2) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e2) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e1) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e1) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e1) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e1) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e0) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e0) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e0) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(mrel_universal,axiom,
! [X1: '$ki_world',X2: '$ki_world'] : '$ki_accessible'(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
tff(c_0_2,plain,
! [X1: '$ki_world'] :
( epred1_1(X1)
<=> ( ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e2) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e1) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e0) ) ) ) ),
introduced(definition) ).
tff(c_0_3,negated_conjecture,
~ ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ ( ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e3) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e3) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e3) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e3) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e2) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e1) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e0) ) ) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e3) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e3) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e3) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e3) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e2) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e2) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e2) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e2) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e1) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e1) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e1) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e1) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e0) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e0) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e0) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e0) ) ) ),
inference(assume_negation,[status(cth)],[verify]) ).
tff(c_0_4,plain,
! [X1: '$ki_world'] :
( epred1_1(X1)
=> ( ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e2) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e2) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e1) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e1) ) )
| ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e0) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e0) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
tff(c_0_5,negated_conjecture,
~ ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ ( ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e3,e3),e3) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e2,e2),e3) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e1,e1),e3) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> qmltpeq(X4,op(e0,e0),e3) ) )
| epred1_1(X1) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e3) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e3) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e3) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e3) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e2) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e2) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e2) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e2) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e1) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e1) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e1) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e1) ) )
| ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e3,e3),e0) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e2,e2),e0) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e1,e1),e0) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> qmltpeq(X1,op(e0,e0),e0) ) ) ),
inference(apply_def,[status(thm)],[c_0_3,c_0_2]) ).
tff(c_0_6,plain,
! [X411: '$ki_world',X412: '$ki_world',X413: '$ki_world',X414: '$ki_world',X415: '$ki_world',X416: '$ki_world',X417: '$ki_world',X418: '$ki_world',X419: '$ki_world',X420: '$ki_world',X421: '$ki_world',X422: '$ki_world',X423: '$ki_world'] :
( ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X415,op(e3,e3),e0)
| ~ '$ki_accessible'(X411,X415)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X414,op(e2,e2),e0)
| ~ '$ki_accessible'(X411,X414)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X413,op(e1,e1),e0)
| ~ '$ki_accessible'(X411,X413)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X419,op(e3,e3),e1)
| ~ '$ki_accessible'(X411,X419)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X418,op(e2,e2),e1)
| ~ '$ki_accessible'(X411,X418)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X417,op(e1,e1),e1)
| ~ '$ki_accessible'(X411,X417)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X423,op(e3,e3),e2)
| ~ '$ki_accessible'(X411,X423) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X422,op(e2,e2),e2)
| ~ '$ki_accessible'(X411,X422) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X421,op(e1,e1),e2)
| ~ '$ki_accessible'(X411,X421) )
& ( ~ epred1_1(X411)
| qmltpeq(X412,op(e0,e0),e0)
| ~ '$ki_accessible'(X411,X412)
| qmltpeq(X416,op(e0,e0),e1)
| ~ '$ki_accessible'(X411,X416)
| qmltpeq(X420,op(e0,e0),e2)
| ~ '$ki_accessible'(X411,X420) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
tff(c_0_7,plain,
! [X13: '$ki_world',X14: '$ki_world'] : '$ki_accessible'(X13,X14),
inference(variable_rename,[status(thm)],[mrel_universal]) ).
tff(c_0_8,negated_conjecture,
! [X407: '$ki_world',X408: '$ki_world',X409: '$ki_world',X410: '$ki_world'] :
( ( epred1_1(esk96_0)
| qmltpeq(X410,op(e3,e3),e3)
| ~ '$ki_accessible'(esk96_0,X410) )
& ( epred1_1(esk96_0)
| qmltpeq(X409,op(e2,e2),e3)
| ~ '$ki_accessible'(esk96_0,X409) )
& ( epred1_1(esk96_0)
| qmltpeq(X408,op(e1,e1),e3)
| ~ '$ki_accessible'(esk96_0,X408) )
& ( epred1_1(esk96_0)
| qmltpeq(X407,op(e0,e0),e3)
| ~ '$ki_accessible'(esk96_0,X407) )
& '$ki_accessible'('$ki_local_world',esk96_0)
& ( ~ qmltpeq(esk92_0,op(e0,e0),e3)
| ~ qmltpeq(esk93_0,op(e1,e1),e3)
| ~ qmltpeq(esk94_0,op(e2,e2),e3)
| ~ qmltpeq(esk95_0,op(e3,e3),e3) )
& ( ~ qmltpeq(esk92_0,op(e0,e0),e3)
| ~ qmltpeq(esk93_0,op(e1,e1),e3)
| ~ qmltpeq(esk94_0,op(e2,e2),e3)
| '$ki_accessible'('$ki_local_world',esk95_0) )
& ( ~ qmltpeq(esk92_0,op(e0,e0),e3)
| ~ qmltpeq(esk93_0,op(e1,e1),e3)
| '$ki_accessible'('$ki_local_world',esk94_0)
| ~ qmltpeq(esk95_0,op(e3,e3),e3) )
& ( ~ qmltpeq(esk92_0,op(e0,e0),e3)
| ~ qmltpeq(esk93_0,op(e1,e1),e3)
| '$ki_accessible'('$ki_local_world',esk94_0)
| '$ki_accessible'('$ki_local_world',esk95_0) )
& ( ~ qmltpeq(esk92_0,op(e0,e0),e3)
| '$ki_accessible'('$ki_local_world',esk93_0)
| ~ qmltpeq(esk94_0,op(e2,e2),e3)
| ~ qmltpeq(esk95_0,op(e3,e3),e3) )
& ( ~ qmltpeq(esk92_0,op(e0,e0),e3)
| '$ki_accessible'('$ki_local_world',esk93_0)
| ~ qmltpeq(esk94_0,op(e2,e2),e3)
| '$ki_accessible'('$ki_local_world',esk95_0) )
& ( ~ qmltpeq(esk92_0,op(e0,e0),e3)
| '$ki_accessible'('$ki_local_world',esk93_0)
| '$ki_accessible'('$ki_local_world',esk94_0)
| ~ qmltpeq(esk95_0,op(e3,e3),e3) )
& ( ~ qmltpeq(esk92_0,op(e0,e0),e3)
| '$ki_accessible'('$ki_local_world',esk93_0)
| '$ki_accessible'('$ki_local_world',esk94_0)
| '$ki_accessible'('$ki_local_world',esk95_0) )
& ( '$ki_accessible'('$ki_local_world',esk92_0)
| ~ qmltpeq(esk93_0,op(e1,e1),e3)
| ~ qmltpeq(esk94_0,op(e2,e2),e3)
| ~ qmltpeq(esk95_0,op(e3,e3),e3) )
& ( '$ki_accessible'('$ki_local_world',esk92_0)
| ~ qmltpeq(esk93_0,op(e1,e1),e3)
| ~ qmltpeq(esk94_0,op(e2,e2),e3)
| '$ki_accessible'('$ki_local_world',esk95_0) )
& ( '$ki_accessible'('$ki_local_world',esk92_0)
| ~ qmltpeq(esk93_0,op(e1,e1),e3)
| '$ki_accessible'('$ki_local_world',esk94_0)
| ~ qmltpeq(esk95_0,op(e3,e3),e3) )
& ( '$ki_accessible'('$ki_local_world',esk92_0)
| ~ qmltpeq(esk93_0,op(e1,e1),e3)
| '$ki_accessible'('$ki_local_world',esk94_0)
| '$ki_accessible'('$ki_local_world',esk95_0) )
& ( '$ki_accessible'('$ki_local_world',esk92_0)
| '$ki_accessible'('$ki_local_world',esk93_0)
| ~ qmltpeq(esk94_0,op(e2,e2),e3)
| ~ qmltpeq(esk95_0,op(e3,e3),e3) )
& ( '$ki_accessible'('$ki_local_world',esk92_0)
| '$ki_accessible'('$ki_local_world',esk93_0)
| ~ qmltpeq(esk94_0,op(e2,e2),e3)
| '$ki_accessible'('$ki_local_world',esk95_0) )
& ( '$ki_accessible'('$ki_local_world',esk92_0)
| '$ki_accessible'('$ki_local_world',esk93_0)
| '$ki_accessible'('$ki_local_world',esk94_0)
| ~ qmltpeq(esk95_0,op(e3,e3),e3) )
& ( '$ki_accessible'('$ki_local_world',esk92_0)
| '$ki_accessible'('$ki_local_world',esk93_0)
| '$ki_accessible'('$ki_local_world',esk94_0)
| '$ki_accessible'('$ki_local_world',esk95_0) )
& ( ~ qmltpeq(esk88_0,op(e0,e0),e2)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| ~ qmltpeq(esk91_0,op(e3,e3),e2) )
& ( ~ qmltpeq(esk88_0,op(e0,e0),e2)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| '$ki_accessible'('$ki_local_world',esk91_0) )
& ( ~ qmltpeq(esk88_0,op(e0,e0),e2)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| '$ki_accessible'('$ki_local_world',esk90_0)
| ~ qmltpeq(esk91_0,op(e3,e3),e2) )
& ( ~ qmltpeq(esk88_0,op(e0,e0),e2)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| '$ki_accessible'('$ki_local_world',esk90_0)
| '$ki_accessible'('$ki_local_world',esk91_0) )
& ( ~ qmltpeq(esk88_0,op(e0,e0),e2)
| '$ki_accessible'('$ki_local_world',esk89_0)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| ~ qmltpeq(esk91_0,op(e3,e3),e2) )
& ( ~ qmltpeq(esk88_0,op(e0,e0),e2)
| '$ki_accessible'('$ki_local_world',esk89_0)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| '$ki_accessible'('$ki_local_world',esk91_0) )
& ( ~ qmltpeq(esk88_0,op(e0,e0),e2)
| '$ki_accessible'('$ki_local_world',esk89_0)
| '$ki_accessible'('$ki_local_world',esk90_0)
| ~ qmltpeq(esk91_0,op(e3,e3),e2) )
& ( ~ qmltpeq(esk88_0,op(e0,e0),e2)
| '$ki_accessible'('$ki_local_world',esk89_0)
| '$ki_accessible'('$ki_local_world',esk90_0)
| '$ki_accessible'('$ki_local_world',esk91_0) )
& ( '$ki_accessible'('$ki_local_world',esk88_0)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| ~ qmltpeq(esk91_0,op(e3,e3),e2) )
& ( '$ki_accessible'('$ki_local_world',esk88_0)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| '$ki_accessible'('$ki_local_world',esk91_0) )
& ( '$ki_accessible'('$ki_local_world',esk88_0)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| '$ki_accessible'('$ki_local_world',esk90_0)
| ~ qmltpeq(esk91_0,op(e3,e3),e2) )
& ( '$ki_accessible'('$ki_local_world',esk88_0)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| '$ki_accessible'('$ki_local_world',esk90_0)
| '$ki_accessible'('$ki_local_world',esk91_0) )
& ( '$ki_accessible'('$ki_local_world',esk88_0)
| '$ki_accessible'('$ki_local_world',esk89_0)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| ~ qmltpeq(esk91_0,op(e3,e3),e2) )
& ( '$ki_accessible'('$ki_local_world',esk88_0)
| '$ki_accessible'('$ki_local_world',esk89_0)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| '$ki_accessible'('$ki_local_world',esk91_0) )
& ( '$ki_accessible'('$ki_local_world',esk88_0)
| '$ki_accessible'('$ki_local_world',esk89_0)
| '$ki_accessible'('$ki_local_world',esk90_0)
| ~ qmltpeq(esk91_0,op(e3,e3),e2) )
& ( '$ki_accessible'('$ki_local_world',esk88_0)
| '$ki_accessible'('$ki_local_world',esk89_0)
| '$ki_accessible'('$ki_local_world',esk90_0)
| '$ki_accessible'('$ki_local_world',esk91_0) )
& ( ~ qmltpeq(esk84_0,op(e0,e0),e1)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| ~ qmltpeq(esk87_0,op(e3,e3),e1) )
& ( ~ qmltpeq(esk84_0,op(e0,e0),e1)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| '$ki_accessible'('$ki_local_world',esk87_0) )
& ( ~ qmltpeq(esk84_0,op(e0,e0),e1)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| '$ki_accessible'('$ki_local_world',esk86_0)
| ~ qmltpeq(esk87_0,op(e3,e3),e1) )
& ( ~ qmltpeq(esk84_0,op(e0,e0),e1)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| '$ki_accessible'('$ki_local_world',esk86_0)
| '$ki_accessible'('$ki_local_world',esk87_0) )
& ( ~ qmltpeq(esk84_0,op(e0,e0),e1)
| '$ki_accessible'('$ki_local_world',esk85_0)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| ~ qmltpeq(esk87_0,op(e3,e3),e1) )
& ( ~ qmltpeq(esk84_0,op(e0,e0),e1)
| '$ki_accessible'('$ki_local_world',esk85_0)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| '$ki_accessible'('$ki_local_world',esk87_0) )
& ( ~ qmltpeq(esk84_0,op(e0,e0),e1)
| '$ki_accessible'('$ki_local_world',esk85_0)
| '$ki_accessible'('$ki_local_world',esk86_0)
| ~ qmltpeq(esk87_0,op(e3,e3),e1) )
& ( ~ qmltpeq(esk84_0,op(e0,e0),e1)
| '$ki_accessible'('$ki_local_world',esk85_0)
| '$ki_accessible'('$ki_local_world',esk86_0)
| '$ki_accessible'('$ki_local_world',esk87_0) )
& ( '$ki_accessible'('$ki_local_world',esk84_0)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| ~ qmltpeq(esk87_0,op(e3,e3),e1) )
& ( '$ki_accessible'('$ki_local_world',esk84_0)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| '$ki_accessible'('$ki_local_world',esk87_0) )
& ( '$ki_accessible'('$ki_local_world',esk84_0)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| '$ki_accessible'('$ki_local_world',esk86_0)
| ~ qmltpeq(esk87_0,op(e3,e3),e1) )
& ( '$ki_accessible'('$ki_local_world',esk84_0)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| '$ki_accessible'('$ki_local_world',esk86_0)
| '$ki_accessible'('$ki_local_world',esk87_0) )
& ( '$ki_accessible'('$ki_local_world',esk84_0)
| '$ki_accessible'('$ki_local_world',esk85_0)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| ~ qmltpeq(esk87_0,op(e3,e3),e1) )
& ( '$ki_accessible'('$ki_local_world',esk84_0)
| '$ki_accessible'('$ki_local_world',esk85_0)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| '$ki_accessible'('$ki_local_world',esk87_0) )
& ( '$ki_accessible'('$ki_local_world',esk84_0)
| '$ki_accessible'('$ki_local_world',esk85_0)
| '$ki_accessible'('$ki_local_world',esk86_0)
| ~ qmltpeq(esk87_0,op(e3,e3),e1) )
& ( '$ki_accessible'('$ki_local_world',esk84_0)
| '$ki_accessible'('$ki_local_world',esk85_0)
| '$ki_accessible'('$ki_local_world',esk86_0)
| '$ki_accessible'('$ki_local_world',esk87_0) )
& ( ~ qmltpeq(esk80_0,op(e0,e0),e0)
| ~ qmltpeq(esk81_0,op(e1,e1),e0)
| ~ qmltpeq(esk82_0,op(e2,e2),e0)
| ~ qmltpeq(esk83_0,op(e3,e3),e0) )
& ( ~ qmltpeq(esk80_0,op(e0,e0),e0)
| ~ qmltpeq(esk81_0,op(e1,e1),e0)
| ~ qmltpeq(esk82_0,op(e2,e2),e0)
| '$ki_accessible'('$ki_local_world',esk83_0) )
& ( ~ qmltpeq(esk80_0,op(e0,e0),e0)
| ~ qmltpeq(esk81_0,op(e1,e1),e0)
| '$ki_accessible'('$ki_local_world',esk82_0)
| ~ qmltpeq(esk83_0,op(e3,e3),e0) )
& ( ~ qmltpeq(esk80_0,op(e0,e0),e0)
| ~ qmltpeq(esk81_0,op(e1,e1),e0)
| '$ki_accessible'('$ki_local_world',esk82_0)
| '$ki_accessible'('$ki_local_world',esk83_0) )
& ( ~ qmltpeq(esk80_0,op(e0,e0),e0)
| '$ki_accessible'('$ki_local_world',esk81_0)
| ~ qmltpeq(esk82_0,op(e2,e2),e0)
| ~ qmltpeq(esk83_0,op(e3,e3),e0) )
& ( ~ qmltpeq(esk80_0,op(e0,e0),e0)
| '$ki_accessible'('$ki_local_world',esk81_0)
| ~ qmltpeq(esk82_0,op(e2,e2),e0)
| '$ki_accessible'('$ki_local_world',esk83_0) )
& ( ~ qmltpeq(esk80_0,op(e0,e0),e0)
| '$ki_accessible'('$ki_local_world',esk81_0)
| '$ki_accessible'('$ki_local_world',esk82_0)
| ~ qmltpeq(esk83_0,op(e3,e3),e0) )
& ( ~ qmltpeq(esk80_0,op(e0,e0),e0)
| '$ki_accessible'('$ki_local_world',esk81_0)
| '$ki_accessible'('$ki_local_world',esk82_0)
| '$ki_accessible'('$ki_local_world',esk83_0) )
& ( '$ki_accessible'('$ki_local_world',esk80_0)
| ~ qmltpeq(esk81_0,op(e1,e1),e0)
| ~ qmltpeq(esk82_0,op(e2,e2),e0)
| ~ qmltpeq(esk83_0,op(e3,e3),e0) )
& ( '$ki_accessible'('$ki_local_world',esk80_0)
| ~ qmltpeq(esk81_0,op(e1,e1),e0)
| ~ qmltpeq(esk82_0,op(e2,e2),e0)
| '$ki_accessible'('$ki_local_world',esk83_0) )
& ( '$ki_accessible'('$ki_local_world',esk80_0)
| ~ qmltpeq(esk81_0,op(e1,e1),e0)
| '$ki_accessible'('$ki_local_world',esk82_0)
| ~ qmltpeq(esk83_0,op(e3,e3),e0) )
& ( '$ki_accessible'('$ki_local_world',esk80_0)
| ~ qmltpeq(esk81_0,op(e1,e1),e0)
| '$ki_accessible'('$ki_local_world',esk82_0)
| '$ki_accessible'('$ki_local_world',esk83_0) )
& ( '$ki_accessible'('$ki_local_world',esk80_0)
| '$ki_accessible'('$ki_local_world',esk81_0)
| ~ qmltpeq(esk82_0,op(e2,e2),e0)
| ~ qmltpeq(esk83_0,op(e3,e3),e0) )
& ( '$ki_accessible'('$ki_local_world',esk80_0)
| '$ki_accessible'('$ki_local_world',esk81_0)
| ~ qmltpeq(esk82_0,op(e2,e2),e0)
| '$ki_accessible'('$ki_local_world',esk83_0) )
& ( '$ki_accessible'('$ki_local_world',esk80_0)
| '$ki_accessible'('$ki_local_world',esk81_0)
| '$ki_accessible'('$ki_local_world',esk82_0)
| ~ qmltpeq(esk83_0,op(e3,e3),e0) )
& ( '$ki_accessible'('$ki_local_world',esk80_0)
| '$ki_accessible'('$ki_local_world',esk81_0)
| '$ki_accessible'('$ki_local_world',esk82_0)
| '$ki_accessible'('$ki_local_world',esk83_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
tcf(c_0_9,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,plain,
! [X1: '$ki_world',X2: '$ki_world'] : '$ki_accessible'(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_12,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_13,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_14,negated_conjecture,
( ~ qmltpeq(esk80_0,op(e0,e0),e0)
| ~ qmltpeq(esk81_0,op(e1,e1),e0)
| ~ qmltpeq(esk82_0,op(e2,e2),e0)
| ~ qmltpeq(esk83_0,op(e3,e3),e0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_15,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_16,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_17,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_18,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_19,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_20,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_21,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_22,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_23,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_24,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_25,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_26,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_27,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_28,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_29,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_30,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_31,negated_conjecture,
( ~ qmltpeq(esk88_0,op(e0,e0),e2)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| ~ qmltpeq(esk91_0,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_32,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X1,op(e0,e0),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]) ).
tcf(c_0_33,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_34,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_35,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_36,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_37,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_38,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_39,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_40,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_41,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_42,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_43,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_44,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e0,e0),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_45,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ qmltpeq(esk91_0,op(e3,e3),e2)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| ~ epred1_1(X2)
| qmltpeq(X1,op(e0,e0),e1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
tcf(c_0_46,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X1,op(e0,e0),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_33]),c_0_34]),c_0_35]),c_0_36]) ).
tcf(c_0_47,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X1,op(e0,e0),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_37]),c_0_38]),c_0_39]),c_0_40]) ).
tcf(c_0_48,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X1,op(e0,e0),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_41]),c_0_42]),c_0_43]),c_0_44]) ).
tcf(c_0_49,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X6: '$ki_world'] :
( ~ epred1_1(X6)
| ~ epred1_1(X4)
| qmltpeq(X2,op(e0,e0),e1)
| qmltpeq(X1,op(e0,e0),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]) ).
tcf(c_0_50,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_51,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_52,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_53,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_54,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_55,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_56,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_57,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_58,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_59,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_60,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_61,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e0,e0),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_62,negated_conjecture,
( ~ qmltpeq(esk84_0,op(e0,e0),e1)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| ~ qmltpeq(esk87_0,op(e3,e3),e1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_63,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| ~ epred1_1(X2)
| qmltpeq(X1,op(e0,e0),e1) ),
inference(ef,[status(thm)],[c_0_49]) ).
tcf(c_0_64,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_65,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_66,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_67,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_68,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_69,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_70,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_71,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_72,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_73,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_74,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_75,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_76,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_77,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_78,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_79,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_80,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_81,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_82,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_83,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_84,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_85,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_86,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_87,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e1,e1),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_88,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_89,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_90,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_91,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_92,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_93,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_94,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_95,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_96,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_97,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_98,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_99,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e3,e3),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_100,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_101,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_102,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_103,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_104,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_105,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_106,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_107,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_108,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e0,e0),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_109,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e3,e3),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_110,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e2,e2),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_111,plain,
! [X4: '$ki_world',X6: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| ~ '$ki_accessible'(X1,X6)
| ~ '$ki_accessible'(X1,X4)
| ~ '$ki_accessible'(X1,X2)
| qmltpeq(X6,op(e1,e1),e0)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X2,op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_112,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ qmltpeq(esk87_0,op(e3,e3),e1)
| ~ qmltpeq(esk86_0,op(e2,e2),e1)
| ~ qmltpeq(esk85_0,op(e1,e1),e1)
| ~ epred1_1(X2)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
tcf(c_0_113,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X1,op(e1,e1),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_64]),c_0_65]),c_0_66]),c_0_67]) ).
tcf(c_0_114,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X1,op(e3,e3),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).
tcf(c_0_115,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e0,e0),e2)
| qmltpeq(X1,op(e2,e2),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_72]),c_0_73]),c_0_74]),c_0_75]) ).
tcf(c_0_116,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_117,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_118,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_119,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_120,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_121,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_122,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_123,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_124,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_125,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_126,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_127,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_128,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_129,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_130,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_131,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_132,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_133,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_134,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_135,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_136,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_137,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_138,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_139,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_140,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_141,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_142,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_143,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e1,e1),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_144,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_145,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_146,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_147,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e3,e3),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_148,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e0,e0),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_149,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e3,e3),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_150,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e2,e2),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_151,plain,
! [X6: '$ki_world',X4: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ epred1_1(X1)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X4,op(e2,e2),e1)
| qmltpeq(X6,op(e1,e1),e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_10]),c_0_10]),c_0_10])]) ).
tcf(c_0_152,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X6: '$ki_world'] :
( ~ epred1_1(X6)
| ~ epred1_1(X4)
| ~ epred1_1(X2)
| qmltpeq(X1,op(e0,e0),e2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]) ).
tcf(c_0_153,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X1,op(e1,e1),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_116]),c_0_117]),c_0_118]),c_0_119]) ).
tcf(c_0_154,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X1,op(e3,e3),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_120]),c_0_121]),c_0_122]),c_0_123]) ).
tcf(c_0_155,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e1,e1),e2)
| qmltpeq(X1,op(e2,e2),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_124]),c_0_125]),c_0_126]),c_0_127]) ).
tcf(c_0_156,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X1,op(e1,e1),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_128]),c_0_129]),c_0_130]),c_0_131]) ).
tcf(c_0_157,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X1,op(e3,e3),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_132]),c_0_133]),c_0_134]),c_0_135]) ).
tcf(c_0_158,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e3,e3),e2)
| qmltpeq(X1,op(e2,e2),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_136]),c_0_137]),c_0_138]),c_0_139]) ).
tcf(c_0_159,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X1,op(e1,e1),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_140]),c_0_141]),c_0_142]),c_0_143]) ).
tcf(c_0_160,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X1,op(e3,e3),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_144]),c_0_145]),c_0_146]),c_0_147]) ).
tcf(c_0_161,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| qmltpeq(X2,op(e2,e2),e2)
| qmltpeq(X1,op(e2,e2),e1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_148]),c_0_149]),c_0_150]),c_0_151]) ).
tcf(c_0_162,negated_conjecture,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'(esk96_0,X1)
| epred1_1(esk96_0)
| qmltpeq(X1,op(e0,e0),e3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_163,negated_conjecture,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'(esk96_0,X1)
| epred1_1(esk96_0)
| qmltpeq(X1,op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_164,negated_conjecture,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'(esk96_0,X1)
| epred1_1(esk96_0)
| qmltpeq(X1,op(e2,e2),e3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_165,negated_conjecture,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'(esk96_0,X1)
| epred1_1(esk96_0)
| qmltpeq(X1,op(e1,e1),e3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_166,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ qmltpeq(esk91_0,op(e3,e3),e2)
| ~ qmltpeq(esk90_0,op(e2,e2),e2)
| ~ qmltpeq(esk89_0,op(e1,e1),e2)
| ~ epred1_1(X4)
| ~ epred1_1(X2)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_152]) ).
tcf(c_0_167,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X6: '$ki_world'] :
( ~ epred1_1(X6)
| ~ epred1_1(X4)
| ~ epred1_1(X2)
| qmltpeq(X1,op(e1,e1),e2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_153]),c_0_154]),c_0_155]) ).
tcf(c_0_168,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X6: '$ki_world'] :
( ~ epred1_1(X6)
| ~ epred1_1(X4)
| ~ epred1_1(X2)
| qmltpeq(X1,op(e3,e3),e2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_156]),c_0_157]),c_0_158]) ).
tcf(c_0_169,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X6: '$ki_world'] :
( ~ epred1_1(X6)
| ~ epred1_1(X4)
| ~ epred1_1(X2)
| qmltpeq(X1,op(e2,e2),e2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_159]),c_0_160]),c_0_161]) ).
tcf(c_0_170,negated_conjecture,
( ~ qmltpeq(esk92_0,op(e0,e0),e3)
| ~ qmltpeq(esk93_0,op(e1,e1),e3)
| ~ qmltpeq(esk94_0,op(e2,e2),e3)
| ~ qmltpeq(esk95_0,op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_171,negated_conjecture,
! [X1: '$ki_world'] :
( qmltpeq(X1,op(e0,e0),e3)
| epred1_1(esk96_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_10])]) ).
tcf(c_0_172,negated_conjecture,
! [X1: '$ki_world'] :
( qmltpeq(X1,op(e3,e3),e3)
| epred1_1(esk96_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_10])]) ).
tcf(c_0_173,negated_conjecture,
! [X1: '$ki_world'] :
( qmltpeq(X1,op(e2,e2),e3)
| epred1_1(esk96_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_10])]) ).
tcf(c_0_174,negated_conjecture,
! [X1: '$ki_world'] :
( qmltpeq(X1,op(e1,e1),e3)
| epred1_1(esk96_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_10])]) ).
tcf(c_0_175,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X6: '$ki_world',X7: '$ki_world',X9: '$ki_world'] :
( ~ epred1_1(X9)
| ~ epred1_1(X7)
| ~ epred1_1(X6)
| ~ epred1_1(X4)
| ~ epred1_1(X2)
| ~ epred1_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]),c_0_169]) ).
tcf(c_0_176,negated_conjecture,
epred1_1(esk96_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_173]),c_0_174]) ).
tcf(c_0_177,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X6: '$ki_world',X7: '$ki_world'] :
( ~ epred1_1(X7)
| ~ epred1_1(X6)
| ~ epred1_1(X4)
| ~ epred1_1(X2)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
tcf(c_0_178,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X6: '$ki_world'] :
( ~ epred1_1(X6)
| ~ epred1_1(X4)
| ~ epred1_1(X2)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_176]) ).
tcf(c_0_179,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
( ~ epred1_1(X4)
| ~ epred1_1(X2)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_176]) ).
tcf(c_0_180,negated_conjecture,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ epred1_1(X2)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_176]) ).
tcf(c_0_181,negated_conjecture,
! [X1: '$ki_world'] : ~ epred1_1(X1),
inference(spm,[status(thm)],[c_0_180,c_0_176]) ).
cnf(c_0_182,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_176,c_0_181]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL941_5 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/10.42 % Computer : n008.cluster.edu
% 0.13/10.42 % Model : x86_64 x86_64
% 0.13/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.42 % Memory : 8046.5625MB
% 0.13/10.42 % OS : Linux 6.8.0-71-generic
% 0.13/10.42 % CPULimit : 300
% 0.13/10.42 % WCLimit : 300
% 0.13/10.42 % DateTime : Mon Sep 21 01:14:05 UTC 2026
% 0.13/10.42 % CPUTime :
% 0.13/10.42 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/10.47 Running first-order theorem proving
% 0.13/10.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/10.76 % Version: 3.5.1
% 0.15/10.76 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/10.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/10.76 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.76 % Starting new_bool_1 with 300s (1) cores
% 0.15/10.76 % Starting sh5l with 300s (1) cores
% 0.15/10.76 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4027929 completed with status 0
% 0.15/10.76 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/10.76 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/10.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/10.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.76 % No SInE strategy applied
% 0.15/10.76 % Search class: FGHNM-FSLF31-SFFFFFNN
% 0.15/10.76 % partial match(2): FGHSM-FSLM31-SFFFFFNN
% 0.15/10.76 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.76 % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/10.76 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 0.15/10.76 % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.15/10.76 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.15/10.76 % G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 4027940 completed with status 0
% 0.15/10.76 % Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 0.15/10.76 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/10.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/10.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.76 % No SInE strategy applied
% 0.15/10.76 % Search class: FGHNM-FSLF31-SFFFFFNN
% 0.15/10.76 % partial match(2): FGHSM-FSLM31-SFFFFFNN
% 0.15/10.76 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.76 % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/10.76 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 0.15/10.76 % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.15/10.76 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.15/10.76 % Preprocessing time : 0.005 s
% 0.15/10.76
% 0.15/10.76 % Proof found!
% 0.15/10.76 % SZS status Theorem
% 0.15/10.76 % SZS output start CNFRefutation
% See solution above
% 0.15/10.76 % Parsed axioms : 33
% 0.15/10.76 % Removed by relevancy pruning/SinE : 0
% 0.15/10.76 % Initial clauses : 412
% 0.15/10.76 % Removed in clause preprocessing : 155
% 0.15/10.76 % Initial clauses in saturation : 257
% 0.15/10.76 % Processed clauses : 539
% 0.15/10.76 % ...of these trivial : 2
% 0.15/10.76 % ...subsumed : 58
% 0.15/10.76 % ...remaining for further processing : 479
% 0.15/10.76 % Other redundant clauses eliminated : 0
% 0.15/10.76 % Clauses deleted for lack of memory : 0
% 0.15/10.76 % Backward-subsumed : 178
% 0.15/10.76 % Backward-rewritten : 4
% 0.15/10.76 % Generated clauses : 4188
% 0.15/10.76 % ...of the previous two non-redundant : 3930
% 0.15/10.76 % ...aggressively subsumed : 0
% 0.15/10.76 % Contextual simplify-reflections : 63
% 0.15/10.76 % Paramodulations : 4185
% 0.15/10.76 % Factorizations : 2
% 0.15/10.76 % NegExts : 0
% 0.15/10.76 % Equation resolutions : 0
% 0.15/10.76 % Disequality decompositions : 0
% 0.15/10.76 % Total rewrite steps : 263
% 0.15/10.76 % ...of those cached : 162
% 0.15/10.76 % Propositional unsat checks : 0
% 0.15/10.76 % Propositional check models : 0
% 0.15/10.76 % Propositional check unsatisfiable : 0
% 0.15/10.76 % Propositional clauses : 0
% 0.15/10.76 % Propositional clauses after purity: 0
% 0.15/10.76 % Propositional unsat core size : 0
% 0.15/10.76 % Propositional preprocessing time : 0.000
% 0.15/10.76 % Propositional encoding time : 0.000
% 0.15/10.76 % Propositional solver time : 0.000
% 0.15/10.76 % Success case prop preproc time : 0.000
% 0.15/10.76 % Success case prop encoding time : 0.000
% 0.15/10.76 % Success case prop solver time : 0.000
% 0.15/10.76 % Current number of processed clauses : 296
% 0.15/10.76 % Positive orientable unit clauses : 194
% 0.15/10.76 % Positive unorientable unit clauses: 0
% 0.15/10.76 % Negative unit clauses : 61
% 0.15/10.76 % Non-unit-clauses : 41
% 0.15/10.76 % Current number of unprocessed clauses: 3607
% 0.15/10.76 % ...number of literals in the above : 14315
% 0.15/10.76 % Current number of archived formulas : 0
% 0.15/10.76 % Current number of archived clauses : 185
% 0.15/10.76 % Clause-clause subsumption calls (NU) : 4133
% 0.15/10.76 % Rec. Clause-clause subsumption calls : 1987
% 0.15/10.76 % Non-unit clause-clause subsumptions : 203
% 0.15/10.76 % Unit Clause-clause subsumption calls : 1169
% 0.15/10.76 % Rewrite failures with RHS unbound : 0
% 0.15/10.76 % BW rewrite match attempts : 1310
% 0.15/10.76 % BW rewrite match successes : 1
% 0.15/10.76 % Condensation attempts : 0
% 0.15/10.76 % Condensation successes : 0
% 0.15/10.76 % Termbank termtop insertions : 117130
% 0.15/10.76 % Search garbage collected termcells : 6761
% 0.15/10.76
% 0.15/10.76 % -------------------------------------------------
% 0.15/10.76 % User time : 0.236 s
% 0.15/10.76 % System time : 0.016 s
% 0.15/10.76 % Total time : 0.253 s
% 0.15/10.76 % Maximum resident set size: 4900 pages
% 0.15/10.76
% 0.15/10.76 % -------------------------------------------------
% 0.15/10.76 % User time : 0.805 s
% 0.15/10.76 % System time : 0.064 s
% 0.15/10.76 % Total time : 0.869 s
% 0.15/10.76 % Maximum resident set size: 5120 pages
% 0.15/10.76 % E exiting
%------------------------------------------------------------------------------