TSTP Solution File: SYO915_14 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SYO915_14 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:55:20 EDT 2024
% Result : CounterSatisfiable 0.77s 0.59s
% Output : Saturation 0.77s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_58)
% Comments :
%------------------------------------------------------------------------------
tcf(c_0_56,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v8('$ki_local_world')
| v7(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v6(X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
tcf(c_0_57,plain,
! [X1: '$ki_world'] : '$ki_accessible'(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_52]),
[final] ).
tcf(c_0_64,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(X1)
| ~ v6(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
tcf(c_0_65,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v2('$ki_local_world')
| v8('$ki_local_world')
| v7(X2)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]),
[final] ).
tcf(c_0_67,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v2('$ki_local_world')
| v6(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v4(X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]),
[final] ).
tcf(c_0_68,plain,
'$ki_accessible'('$ki_local_world',esk1_0),
inference(split_conjunct,[status(thm)],[c_0_61]),
[final] ).
tcf(c_0_70,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v8('$ki_local_world')
| v8(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v7(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v5(X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]),
[final] ).
tcf(c_0_72,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(X1)
| ~ v6(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_57]),
[final] ).
tcf(c_0_74,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v7('$ki_local_world')
| v1(X2)
| v8(X4)
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]),
[final] ).
tcf(c_0_76,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v2('$ki_local_world')
| ~ v5(X2)
| ~ v4(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_78,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v8(X1)
| ~ v7(X2)
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_82,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(X1)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_57]),c_0_73]),
[final] ).
tcf(c_0_83,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v7('$ki_local_world')
| v1(X2)
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_57]),
[final] ).
tcf(c_0_85,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v2('$ki_local_world')
| ~ v5(X2)
| ~ v4(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_57]),
[final] ).
tcf(c_0_87,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v2('$ki_local_world')
| ~ v5(esk1_0)
| ~ v4(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_68]),
[final] ).
tcf(c_0_100,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v8('$ki_local_world')
| v7(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v4(X5) ),
inference(split_conjunct,[status(thm)],[c_0_80]),
[final] ).
tcf(c_0_101,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8('$ki_local_world')
| v7(X1)
| v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_57]),c_0_82]),
[final] ).
tcf(c_0_102,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v7('$ki_local_world')
| v1(X2)
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_57]),
[final] ).
tcf(c_0_107,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v2('$ki_local_world')
| ~ v5(X2)
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_57]),
[final] ).
tcf(c_0_108,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v6(X2)
| ~ v2('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v4(X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]),
[final] ).
tcf(c_0_109,plain,
( v6(esk1_0)
| v2('$ki_local_world')
| ~ v5(esk1_0)
| ~ v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_68]),
[final] ).
tcf(c_0_111,plain,
( v8('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_57]),
[final] ).
tcf(c_0_127,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(X1)
| ~ v4(esk1_0)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_134,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v6('$ki_local_world')
| v1(X1)
| v8(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v8(X5) ),
inference(split_conjunct,[status(thm)],[c_0_106]),
[final] ).
tcf(c_0_135,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v2('$ki_local_world')
| ~ v5(esk1_0)
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_68]),
[final] ).
tcf(c_0_136,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| ~ v4('$ki_local_world')
| ~ v4(esk1_0)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_139,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v7(X1)
| v5(X3)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v4(X5) ),
inference(split_conjunct,[status(thm)],[c_0_113]),
[final] ).
tcf(c_0_141,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ v5('$ki_local_world')
| ~ v8('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ v6(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v8(X4) ),
inference(split_conjunct,[status(thm)],[c_0_115]),
[final] ).
tcf(c_0_142,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v4('$ki_local_world')
| v5(X1)
| v6(X3)
| v8(X5)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_116]),
[final] ).
tcf(c_0_156,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world',X6: '$ki_world'] :
( v3(X2)
| v6(X4)
| v8(X6)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_120]),
[final] ).
tcf(c_0_157,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world',X6: '$ki_world'] :
( v3('$ki_local_world')
| v4(X2)
| v5(X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'(X5,X6)
| ~ v5(X6) ),
inference(split_conjunct,[status(thm)],[c_0_121]),
[final] ).
tcf(c_0_159,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v7('$ki_local_world')
| v2(X3)
| v4(X5)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v6(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_122]),
[final] ).
tcf(c_0_160,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v6('$ki_local_world')
| v7(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v8(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v2(X5) ),
inference(split_conjunct,[status(thm)],[c_0_123]),
[final] ).
tcf(c_0_161,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v3('$ki_local_world')
| v1(X3)
| v3(X5)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_124]),
[final] ).
tcf(c_0_163,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v8(X5) ),
inference(split_conjunct,[status(thm)],[c_0_126]),
[final] ).
tcf(c_0_168,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v7(X5) ),
inference(split_conjunct,[status(thm)],[c_0_130]),
[final] ).
tcf(c_0_169,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world',X6: '$ki_world'] :
( v3('$ki_local_world')
| v6(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v1(X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'(X5,X6)
| ~ v2(X6) ),
inference(split_conjunct,[status(thm)],[c_0_131]),
[final] ).
tcf(c_0_170,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v4('$ki_local_world')
| v6(X1)
| v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v2(X5) ),
inference(split_conjunct,[status(thm)],[c_0_132]),
[final] ).
tcf(c_0_171,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| ~ v4('$ki_local_world')
| ~ v4(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_57]),
[final] ).
tcf(c_0_173,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( v8(X1)
| v6('$ki_local_world')
| v1(X2)
| ~ v8(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X4,X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_57]),
[final] ).
tcf(c_0_174,plain,
( v6('$ki_local_world')
| v2('$ki_local_world')
| ~ v5(esk1_0)
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_135,c_0_57]),
[final] ).
tcf(c_0_179,plain,
! [X1: '$ki_world',X4: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v7(X1)
| v5(X2)
| ~ v6('$ki_local_world')
| ~ v4(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X4,X2) ),
inference(spm,[status(thm)],[c_0_139,c_0_57]),
[final] ).
tcf(c_0_180,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v8(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v7(X5) ),
inference(split_conjunct,[status(thm)],[c_0_140]),
[final] ).
tcf(c_0_181,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v8(X1)
| ~ v7(X2)
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_57]),
[final] ).
tcf(c_0_182,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ v8('$ki_local_world')
| ~ v8(X1)
| ~ v6(X2)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X2) ),
inference(spm,[status(thm)],[c_0_141,c_0_57]),
[final] ).
tcf(c_0_183,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v8(esk1_0)
| v6(X1)
| v5(X2)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_185,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ v1('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ v7(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v8(X4) ),
inference(split_conjunct,[status(thm)],[c_0_144]),
[final] ).
tcf(c_0_187,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v6(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v7(X5) ),
inference(split_conjunct,[status(thm)],[c_0_146]),
[final] ).
tcf(c_0_190,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v4(X3)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v7(X5) ),
inference(split_conjunct,[status(thm)],[c_0_148]),
[final] ).
tcf(c_0_204,plain,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X5: '$ki_world',X3: '$ki_world'] :
( v8(X1)
| v6(X2)
| v3(X3)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'(X4,X2)
| ~ '$ki_accessible'(X5,X3) ),
inference(spm,[status(thm)],[c_0_156,c_0_57]),
[final] ).
tcf(c_0_205,plain,
! [X1: '$ki_world',X4: '$ki_world',X5: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v5(X1)
| v4(X2)
| v3('$ki_local_world')
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'(X4,X1)
| ~ '$ki_accessible'(X5,X2) ),
inference(spm,[status(thm)],[c_0_157,c_0_57]),
[final] ).
tcf(c_0_207,plain,
! [X1: '$ki_world',X4: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| v2(X2)
| ~ v6(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X4,X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_57]),
[final] ).
tcf(c_0_208,plain,
! [X1: '$ki_world',X3: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( v8(esk1_0)
| v6(X1)
| v3(X2)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'(X4,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_209,plain,
! [X1: '$ki_world',X3: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( v5(X1)
| v4(X2)
| v3('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'(X4,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_210,plain,
! [X1: '$ki_world',X4: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v6(X2)
| v5(X3)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X4,X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_57]),
[final] ).
tcf(c_0_211,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v6('$ki_local_world')
| ~ v8(X2)
| ~ v2(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X4,X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_57]),
[final] ).
tcf(c_0_212,plain,
! [X1: '$ki_world',X4: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v3('$ki_local_world')
| v3(X1)
| v1(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X4,X2) ),
inference(spm,[status(thm)],[c_0_161,c_0_57]),
[final] ).
tcf(c_0_214,plain,
! [X2: '$ki_world',X1: '$ki_world',X4: '$ki_world',X3: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| ~ v8(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X4,X3) ),
inference(spm,[status(thm)],[c_0_163,c_0_57]),
[final] ).
tcf(c_0_217,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8(esk1_0)
| v7('$ki_local_world')
| v1(X1)
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_218,plain,
! [X2: '$ki_world',X1: '$ki_world',X4: '$ki_world',X3: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7(X2)
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X4,X3) ),
inference(spm,[status(thm)],[c_0_168,c_0_57]),
[final] ).
tcf(c_0_219,plain,
! [X3: '$ki_world',X2: '$ki_world',X5: '$ki_world',X4: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'(X4,X3)
| ~ '$ki_accessible'(X5,X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_57]),
[final] ).
tcf(c_0_220,plain,
! [X1: '$ki_world',X4: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v6(X1)
| v4('$ki_local_world')
| v1(X2)
| ~ v2(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X4,X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_57]),
[final] ).
tcf(c_0_222,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X3,X2)
| ~ '$ki_accessible'(X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_223,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v2('$ki_local_world')
| v3(X1)
| v8(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v5(X5) ),
inference(split_conjunct,[status(thm)],[c_0_172]),
[final] ).
tcf(c_0_224,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v8(X1)
| v6('$ki_local_world')
| v1(X2)
| ~ v8(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_225,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8(esk1_0)
| v6('$ki_local_world')
| v1(X1)
| ~ v8(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_226,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(X1)
| ~ v6(esk1_0)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_227,plain,
( v8('$ki_local_world')
| v2('$ki_local_world')
| ~ v5(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_167]),c_0_175]),c_0_111]),
[final] ).
tcf(c_0_231,plain,
( v8('$ki_local_world')
| ~ v7(esk1_0)
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_178,c_0_57]),
[final] ).
tcf(c_0_232,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5(X2)
| ~ v6('$ki_local_world')
| ~ v4(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_57]),
[final] ).
tcf(c_0_233,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v6('$ki_local_world')
| ~ v8(X1)
| ~ v7(esk1_0)
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_234,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v8(X1)
| ~ v7(X2)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_57]),
[final] ).
tcf(c_0_236,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| v6(esk1_0)
| v5(X1)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_237,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v6('$ki_local_world')
| v4(X1)
| v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v6(X5) ),
inference(split_conjunct,[status(thm)],[c_0_184]),
[final] ).
tcf(c_0_239,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v8('$ki_local_world')
| v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_186]),
[final] ).
tcf(c_0_240,plain,
! [X2: '$ki_world',X1: '$ki_world',X4: '$ki_world',X3: '$ki_world'] :
( v6(X1)
| ~ v7(X2)
| ~ v5(X3)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X4,X3) ),
inference(spm,[status(thm)],[c_0_187,c_0_57]),
[final] ).
tcf(c_0_241,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v1('$ki_local_world')
| v3(X2)
| v6(X4)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_188]),
[final] ).
tcf(c_0_243,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ v7(X2)
| ~ v3('$ki_local_world')
| ~ v3(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X4,X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_57]),
[final] ).
tcf(c_0_244,plain,
! [X2: '$ki_world',X1: '$ki_world',X4: '$ki_world',X3: '$ki_world'] :
( v6('$ki_local_world')
| ~ v8(X1)
| ~ v7(X2)
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X4,X3) ),
inference(spm,[status(thm)],[c_0_180,c_0_57]),
[final] ).
tcf(c_0_245,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v5('$ki_local_world')
| v7(X2)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_191]),
[final] ).
tcf(c_0_246,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v2('$ki_local_world')
| v1(X2)
| v3(X4)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_192]),
[final] ).
tcf(c_0_247,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v5('$ki_local_world')
| v7(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v6(X4) ),
inference(split_conjunct,[status(thm)],[c_0_193]),
[final] ).
tcf(c_0_248,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v7('$ki_local_world')
| v1(X2)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v5(X4) ),
inference(split_conjunct,[status(thm)],[c_0_194]),
[final] ).
tcf(c_0_250,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v8(X2)
| ~ v3('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v4(X4) ),
inference(split_conjunct,[status(thm)],[c_0_196]),
[final] ).
tcf(c_0_251,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v7(X4)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v6(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_197]),
[final] ).
tcf(c_0_252,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v6(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v5(X4) ),
inference(split_conjunct,[status(thm)],[c_0_198]),
[final] ).
tcf(c_0_259,plain,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X3: '$ki_world'] :
( v8(X1)
| v6(X2)
| v3(X3)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X3) ),
inference(spm,[status(thm)],[c_0_204,c_0_57]),
[final] ).
tcf(c_0_260,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v5(esk1_0)
| v4(X1)
| v3('$ki_local_world')
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_261,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world',X6: '$ki_world'] :
( v7('$ki_local_world')
| v3(X2)
| v4(X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'(X5,X6)
| ~ v1(X6) ),
inference(split_conjunct,[status(thm)],[c_0_206]),
[final] ).
tcf(c_0_262,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| v2(X2)
| ~ v6(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(spm,[status(thm)],[c_0_207,c_0_57]),
[final] ).
tcf(c_0_263,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v8(esk1_0)
| v6(X1)
| v3(X2)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X2) ),
inference(spm,[status(thm)],[c_0_208,c_0_57]),
[final] ).
tcf(c_0_264,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v5(X1)
| v4(X2)
| v3('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X2) ),
inference(spm,[status(thm)],[c_0_209,c_0_57]),
[final] ).
tcf(c_0_265,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v8(X1)
| v6(X2)
| v5(X3)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(spm,[status(thm)],[c_0_210,c_0_57]),
[final] ).
tcf(c_0_266,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v7(X1)
| v6('$ki_local_world')
| ~ v8(X2)
| ~ v2(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_211,c_0_57]),
[final] ).
tcf(c_0_270,plain,
( v8('$ki_local_world')
| v7('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_57]),c_0_216]),
[final] ).
tcf(c_0_271,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8(esk1_0)
| v6(esk1_0)
| v3(X1)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_272,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| v7('$ki_local_world')
| v1(X1)
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_217,c_0_57]),
[final] ).
tcf(c_0_273,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7(X2)
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_57]),
[final] ).
tcf(c_0_274,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(esk1_0)
| v6(X1)
| v5(X2)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_183,c_0_57]),
[final] ).
tcf(c_0_275,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(X2)
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_276,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v4('$ki_local_world')
| v1(esk1_0)
| ~ v2(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_277,plain,
! [X1: '$ki_world'] :
( v6(X1)
| ~ v4('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_221,c_0_57]),
[final] ).
tcf(c_0_278,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_57]),
[final] ).
tcf(c_0_279,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v6(X1)
| v4('$ki_local_world')
| v1(X2)
| ~ v2(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_280,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( v8(X1)
| v3(X2)
| v2('$ki_local_world')
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X4,X1) ),
inference(spm,[status(thm)],[c_0_223,c_0_57]),
[final] ).
tcf(c_0_281,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v7('$ki_local_world')
| v4(esk1_0)
| v2(X1)
| ~ v6(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_282,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v6('$ki_local_world')
| v1(X2)
| ~ v8(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_224,c_0_57]),
[final] ).
tcf(c_0_283,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| v6('$ki_local_world')
| v1(X1)
| ~ v8('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_57]),
[final] ).
tcf(c_0_284,plain,
( v8('$ki_local_world')
| v7(esk1_0)
| ~ v6(esk1_0)
| ~ v2('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_288,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5(X2)
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_232,c_0_57]),
[final] ).
tcf(c_0_289,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6('$ki_local_world')
| ~ v8(X1)
| ~ v7(esk1_0)
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_57]),
[final] ).
tcf(c_0_291,plain,
! [X1: '$ki_world'] :
( ~ v8('$ki_local_world')
| ~ v6(X1)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_57]),
[final] ).
tcf(c_0_292,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v1(esk1_0)
| ~ v4('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_293,plain,
( v8(esk1_0)
| v6(esk1_0)
| v5('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_236,c_0_57]),
[final] ).
tcf(c_0_294,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v6('$ki_local_world')
| v4(X1)
| v1(X2)
| ~ v6(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_295,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_296,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(esk1_0)
| v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_68]),
[final] ).
tcf(c_0_297,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v6('$ki_local_world')
| ~ v8(X2)
| ~ v2(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_298,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v7(X1)
| v5(X2)
| ~ v6('$ki_local_world')
| ~ v4(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_299,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| ~ v8(esk1_0)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_301,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7(esk1_0)
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_302,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v1(X1)
| ~ v2(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X4,X1) ),
inference(spm,[status(thm)],[c_0_239,c_0_57]),
[final] ).
tcf(c_0_303,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| ~ v7(X2)
| ~ v5(X3)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_240,c_0_57]),
[final] ).
tcf(c_0_305,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v5('$ki_local_world')
| v7(X2)
| ~ v7('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v7(X4) ),
inference(split_conjunct,[status(thm)],[c_0_242]),
[final] ).
tcf(c_0_306,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v4(X1)
| ~ v7(X2)
| ~ v3('$ki_local_world')
| ~ v3(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(spm,[status(thm)],[c_0_243,c_0_57]),
[final] ).
tcf(c_0_307,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6('$ki_local_world')
| ~ v8(X1)
| ~ v7(X2)
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_244,c_0_57]),
[final] ).
tcf(c_0_308,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(spm,[status(thm)],[c_0_245,c_0_57]),
[final] ).
tcf(c_0_309,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v6(X1)
| ~ v7(esk1_0)
| ~ v5(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_310,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ v7(esk1_0)
| ~ v3('$ki_local_world')
| ~ v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_311,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v3(X1)
| v2('$ki_local_world')
| v1(X2)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X2) ),
inference(spm,[status(thm)],[c_0_246,c_0_57]),
[final] ).
tcf(c_0_312,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6(X2)
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_247,c_0_57]),
[final] ).
tcf(c_0_313,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v7('$ki_local_world')
| v1(X1)
| ~ v6('$ki_local_world')
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(spm,[status(thm)],[c_0_248,c_0_57]),
[final] ).
tcf(c_0_314,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v7('$ki_local_world')
| v5(X1)
| v6(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v7(X4) ),
inference(split_conjunct,[status(thm)],[c_0_249]),
[final] ).
tcf(c_0_315,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v8(X1)
| ~ v6('$ki_local_world')
| ~ v4(X2)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(spm,[status(thm)],[c_0_250,c_0_57]),
[final] ).
tcf(c_0_316,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v7(X1)
| ~ v6(X2)
| ~ v3(X3)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(spm,[status(thm)],[c_0_251,c_0_57]),
[final] ).
tcf(c_0_317,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| ~ v5(X2)
| ~ v2('$ki_local_world')
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_252,c_0_57]),
[final] ).
tcf(c_0_318,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v6('$ki_local_world')
| v8(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v8(X3) ),
inference(split_conjunct,[status(thm)],[c_0_253]),
[final] ).
tcf(c_0_319,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v6('$ki_local_world')
| v3(X1)
| v3(X3)
| ~ v7('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_254]),
[final] ).
tcf(c_0_320,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v7('$ki_local_world')
| v2(X3)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_255]),
[final] ).
tcf(c_0_321,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v3('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v8(X3) ),
inference(split_conjunct,[status(thm)],[c_0_256]),
[final] ).
tcf(c_0_322,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v3('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_257]),
[final] ).
tcf(c_0_323,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ v8(X1)
| ~ v7('$ki_local_world')
| ~ v7(X2)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X2) ),
inference(spm,[status(thm)],[c_0_185,c_0_57]),
[final] ).
tcf(c_0_325,plain,
! [X1: '$ki_world',X4: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v5(X1)
| v4(X2)
| v3('$ki_local_world')
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X2) ),
inference(spm,[status(thm)],[c_0_205,c_0_57]),
[final] ).
tcf(c_0_326,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v8(X1)
| v6(X2)
| v3(X3)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(spm,[status(thm)],[c_0_259,c_0_57]),
[final] ).
tcf(c_0_327,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v6(X2)
| v3(esk1_0)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_328,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v5(esk1_0)
| v4(X1)
| v3('$ki_local_world')
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_57]),
[final] ).
tcf(c_0_329,plain,
! [X1: '$ki_world',X4: '$ki_world',X5: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| v3(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'(X4,X1)
| ~ '$ki_accessible'(X5,X2) ),
inference(spm,[status(thm)],[c_0_261,c_0_57]),
[final] ).
tcf(c_0_330,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v4('$ki_local_world')
| v1(X2)
| ~ v2(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_220,c_0_57]),
[final] ).
tcf(c_0_331,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v4('$ki_local_world')
| v2(X1)
| ~ v6(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_262,c_0_57]),
[final] ).
tcf(c_0_332,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v6(esk1_0)
| v3(X2)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_333,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(esk1_0)
| v6(X1)
| v3(X2)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_263,c_0_57]),
[final] ).
tcf(c_0_334,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v5(X1)
| v4(X2)
| v3('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_264,c_0_57]),
[final] ).
tcf(c_0_335,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8('$ki_local_world')
| v6(X1)
| v5(X2)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_265,c_0_57]),
[final] ).
tcf(c_0_336,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(X1)
| ~ v4(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X4,X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_57]),
[final] ).
tcf(c_0_337,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v7(X1)
| v6('$ki_local_world')
| ~ v8(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_266,c_0_57]),
[final] ).
tcf(c_0_338,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v3('$ki_local_world')
| v1(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_267,c_0_57]),
[final] ).
tcf(c_0_339,plain,
( v1('$ki_local_world')
| ~ v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_268,c_0_57]),
[final] ).
tcf(c_0_340,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_57]),c_0_270]),
[final] ).
tcf(c_0_341,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| v6(esk1_0)
| v3(X1)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_271,c_0_57]),
[final] ).
tcf(c_0_342,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v1('$ki_local_world')
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_272,c_0_57]),
[final] ).
tcf(c_0_343,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v6(esk1_0)
| v5(X2)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_344,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7('$ki_local_world')
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_273,c_0_57]),
[final] ).
tcf(c_0_345,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v2('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_57]),
[final] ).
tcf(c_0_346,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| v6('$ki_local_world')
| v5(X1)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_274,c_0_57]),
[final] ).
tcf(c_0_347,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(X2)
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_275,c_0_57]),
[final] ).
tcf(c_0_348,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v1(esk1_0)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_57]),c_0_277]),
[final] ).
tcf(c_0_349,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_278,c_0_57]),
[final] ).
tcf(c_0_350,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_351,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v4('$ki_local_world')
| v1(X2)
| ~ v2(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_57]),
[final] ).
tcf(c_0_352,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8(esk1_0)
| v3(X1)
| v2('$ki_local_world')
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_353,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| v2(esk1_0)
| ~ v6(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_354,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v8(X1)
| v3(X2)
| v2('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_355,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v4(esk1_0)
| v2(X1)
| ~ v6(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_281,c_0_57]),
[final] ).
tcf(c_0_356,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v6('$ki_local_world')
| v1(X1)
| ~ v8(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_282,c_0_57]),
[final] ).
tcf(c_0_358,plain,
( v8('$ki_local_world')
| v3('$ki_local_world') ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_286]),c_0_287]),
[final] ).
tcf(c_0_359,plain,
! [X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_288,c_0_57]),
[final] ).
tcf(c_0_361,plain,
( v8('$ki_local_world')
| ~ v7(esk1_0)
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_290,c_0_57]),
[final] ).
tcf(c_0_362,plain,
( ~ v8('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_291,c_0_57]),
[final] ).
tcf(c_0_363,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6(esk1_0)
| v5('$ki_local_world')
| v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]),
[final] ).
tcf(c_0_365,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6('$ki_local_world')
| v4(X1)
| v1(X2)
| ~ v6(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_294,c_0_57]),
[final] ).
tcf(c_0_366,plain,
! [X1: '$ki_world'] :
( v7(X1)
| v5(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_295,c_0_57]),
[final] ).
tcf(c_0_367,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7(esk1_0)
| v6('$ki_local_world')
| ~ v8(X1)
| ~ v2(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_368,plain,
( v8('$ki_local_world')
| v7(esk1_0)
| v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_296,c_0_68]),
[final] ).
tcf(c_0_369,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v7(X1)
| v6('$ki_local_world')
| ~ v8(X2)
| ~ v2(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_297,c_0_57]),
[final] ).
tcf(c_0_370,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5(X2)
| ~ v6('$ki_local_world')
| ~ v4(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_298,c_0_57]),
[final] ).
tcf(c_0_374,plain,
( ~ v8(esk1_0)
| ~ v7('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_300,c_0_57]),
[final] ).
tcf(c_0_375,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7(X2)
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_376,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7(esk1_0)
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_301,c_0_57]),
[final] ).
tcf(c_0_377,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v1(esk1_0)
| ~ v2(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_378,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| ~ v7('$ki_local_world')
| ~ v5(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_303,c_0_57]),
[final] ).
tcf(c_0_380,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v7(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(spm,[status(thm)],[c_0_305,c_0_57]),
[final] ).
tcf(c_0_381,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| ~ v7('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_306,c_0_57]),
[final] ).
tcf(c_0_382,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6('$ki_local_world')
| ~ v8(X1)
| ~ v7('$ki_local_world')
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_307,c_0_57]),
[final] ).
tcf(c_0_383,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_308,c_0_57]),
[final] ).
tcf(c_0_384,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| ~ v7(X2)
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_385,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| ~ v7(esk1_0)
| ~ v5(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_309,c_0_57]),
[final] ).
tcf(c_0_386,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4(esk1_0)
| ~ v7(X1)
| ~ v3('$ki_local_world')
| ~ v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_387,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| ~ v7(esk1_0)
| ~ v3('$ki_local_world')
| ~ v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_310,c_0_57]),
[final] ).
tcf(c_0_388,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v3(X1)
| v2('$ki_local_world')
| v1(X2)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_311,c_0_57]),
[final] ).
tcf(c_0_389,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6('$ki_local_world')
| ~ v8(X1)
| ~ v7(X2)
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_391,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_312,c_0_57]),
[final] ).
tcf(c_0_392,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7('$ki_local_world')
| v1(X1)
| ~ v6('$ki_local_world')
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_313,c_0_57]),
[final] ).
tcf(c_0_393,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v6(X1)
| v5(X2)
| ~ v7(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_394,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6(esk1_0)
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_395,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_396,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8(X1)
| ~ v6('$ki_local_world')
| ~ v4(X2)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_57]),
[final] ).
tcf(c_0_397,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| ~ v6(X1)
| ~ v3(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_316,c_0_57]),
[final] ).
tcf(c_0_398,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7('$ki_local_world')
| v1(X1)
| ~ v6('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_399,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_317,c_0_57]),
[final] ).
tcf(c_0_400,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8(X1)
| v6('$ki_local_world')
| ~ v8(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_318,c_0_57]),
[final] ).
tcf(c_0_401,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6('$ki_local_world')
| v3(X1)
| v3(X2)
| ~ v7('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_319,c_0_57]),
[final] ).
tcf(c_0_402,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v8(X1)
| ~ v6('$ki_local_world')
| ~ v4(esk1_0)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_403,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v7(esk1_0)
| ~ v6(X1)
| ~ v3(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_404,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_405,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v2(X1)
| ~ v3('$ki_local_world')
| ~ v2(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_320,c_0_57]),
[final] ).
tcf(c_0_406,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v3('$ki_local_world')
| ~ v8(X1)
| ~ v3(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_321,c_0_57]),
[final] ).
tcf(c_0_407,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v3(X1)
| ~ v2(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_322,c_0_57]),
[final] ).
tcf(c_0_409,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ v8(X1)
| ~ v7('$ki_local_world')
| ~ v7(X2)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_323,c_0_57]),
[final] ).
tcf(c_0_410,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ v3(X2) ),
inference(split_conjunct,[status(thm)],[c_0_324]),
[final] ).
tcf(c_0_411,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v5(X1)
| v4(X2)
| v3('$ki_local_world')
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_325,c_0_57]),
[final] ).
tcf(c_0_412,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v5(X1)
| v4(esk1_0)
| v3('$ki_local_world')
| ~ v5(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_413,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8('$ki_local_world')
| v6(X1)
| v3(X2)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_326,c_0_57]),
[final] ).
tcf(c_0_414,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v6(X1)
| v3(esk1_0)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_327,c_0_57]),
[final] ).
tcf(c_0_415,plain,
! [X1: '$ki_world'] :
( v5(esk1_0)
| v4(X1)
| v3('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_328,c_0_57]),
[final] ).
tcf(c_0_416,plain,
! [X1: '$ki_world'] :
( v5(esk1_0)
| v4(esk1_0)
| v3('$ki_local_world')
| ~ v5(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_417,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v7('$ki_local_world')
| v4(esk1_0)
| v3(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_418,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X1) ),
inference(spm,[status(thm)],[c_0_219,c_0_57]),
[final] ).
tcf(c_0_419,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v1(X2)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_57]),c_0_277]),
[final] ).
tcf(c_0_420,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v3(X2)
| v2('$ki_local_world')
| ~ v5(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_280,c_0_57]),
[final] ).
tcf(c_0_421,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v4('$ki_local_world')
| v2('$ki_local_world')
| ~ v6(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_331,c_0_57]),
[final] ).
tcf(c_0_422,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v6('$ki_local_world')
| v1(X2)
| ~ v8(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_57]),
[final] ).
tcf(c_0_423,plain,
! [X1: '$ki_world',X4: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v6('$ki_local_world')
| v4(X1)
| v1(X2)
| ~ v6(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X4,X2) ),
inference(spm,[status(thm)],[c_0_237,c_0_57]),
[final] ).
tcf(c_0_424,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v6(esk1_0)
| v3(X2)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_332,c_0_57]),
[final] ).
tcf(c_0_425,plain,
! [X1: '$ki_world'] :
( v8(X1)
| v6(esk1_0)
| v3(esk1_0)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_426,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| v6('$ki_local_world')
| v3(X1)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_333,c_0_57]),
[final] ).
tcf(c_0_427,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| v6(X1)
| v3(esk1_0)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_428,plain,
! [X1: '$ki_world'] :
( v5('$ki_local_world')
| v4(X1)
| v3('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_334,c_0_57]),
[final] ).
tcf(c_0_429,plain,
! [X1: '$ki_world'] :
( v5(X1)
| v4(esk1_0)
| v3('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_430,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v6('$ki_local_world')
| v5(X1)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_335,c_0_57]),
[final] ).
tcf(c_0_433,plain,
! [X1: '$ki_world'] :
( v1('$ki_local_world')
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_57]),c_0_339]),
[final] ).
tcf(c_0_434,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_340,c_0_57]),
[final] ).
tcf(c_0_435,plain,
( v8(esk1_0)
| v6(esk1_0)
| v3('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_341,c_0_57]),
[final] ).
tcf(c_0_437,plain,
( v8(esk1_0)
| v6(esk1_0)
| v3(esk1_0)
| ~ v5('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_438,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v6(esk1_0)
| v5(X1)
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_343,c_0_57]),
[final] ).
tcf(c_0_439,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_344,c_0_57]),
[final] ).
tcf(c_0_440,plain,
( v6('$ki_local_world')
| v2('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_345,c_0_57]),
[final] ).
tcf(c_0_441,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| v5(esk1_0)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_346,c_0_68]),
[final] ).
tcf(c_0_442,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| v5('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_346,c_0_57]),
[final] ).
tcf(c_0_443,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v8('$ki_local_world')
| v1(X1)
| ~ v2(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_302,c_0_57]),
[final] ).
tcf(c_0_444,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_57]),c_0_348]),
[final] ).
tcf(c_0_445,plain,
! [X1: '$ki_world'] :
( v6(esk1_0)
| v3('$ki_local_world')
| ~ v2(X1)
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_446,plain,
( v6(esk1_0)
| v1(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_348,c_0_68]),
[final] ).
tcf(c_0_447,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_349,c_0_57]),
[final] ).
tcf(c_0_448,plain,
! [X1: '$ki_world'] :
( v6(esk1_0)
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_449,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_350,c_0_57]),
[final] ).
tcf(c_0_450,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v4('$ki_local_world')
| v1('$ki_local_world')
| ~ v2(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_351,c_0_57]),
[final] ).
tcf(c_0_451,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v4('$ki_local_world')
| v1(esk1_0)
| ~ v2(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_452,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| v3(X1)
| v2('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_352,c_0_57]),
[final] ).
tcf(c_0_453,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v4('$ki_local_world')
| v2(esk1_0)
| ~ v6(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_353,c_0_57]),
[final] ).
tcf(c_0_454,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| v3(X1)
| v2('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_455,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v4(esk1_0)
| v2('$ki_local_world')
| ~ v6(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_355,c_0_57]),
[final] ).
tcf(c_0_456,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| v1(esk1_0)
| ~ v8('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_283,c_0_68]),
[final] ).
tcf(c_0_458,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| v1('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_339]),
[final] ).
tcf(c_0_459,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v4(esk1_0)
| v2(esk1_0)
| ~ v6(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_460,plain,
( v7(esk1_0)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_359,c_0_68]),
[final] ).
tcf(c_0_461,plain,
( v7('$ki_local_world')
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_359,c_0_57]),
[final] ).
tcf(c_0_462,plain,
( v6('$ki_local_world')
| ~ v7(esk1_0)
| ~ v5('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_57]),c_0_361]),
[final] ).
tcf(c_0_463,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6(esk1_0)
| v1(esk1_0)
| ~ v6('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_175]),
[final] ).
tcf(c_0_464,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| v1(esk1_0)
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_364,c_0_57]),
[final] ).
tcf(c_0_465,plain,
! [X1: '$ki_world'] :
( v6('$ki_local_world')
| v4(X1)
| v1('$ki_local_world')
| ~ v6(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_365,c_0_57]),
[final] ).
tcf(c_0_466,plain,
! [X1: '$ki_world'] :
( v6('$ki_local_world')
| v4(X1)
| v1(esk1_0)
| ~ v6(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_467,plain,
( v7(esk1_0)
| v5(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_366,c_0_68]),
[final] ).
tcf(c_0_468,plain,
( v8(esk1_0)
| v6(esk1_0)
| v5(esk1_0)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_236,c_0_68]),
[final] ).
tcf(c_0_469,plain,
( v7('$ki_local_world')
| v5(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_366,c_0_57]),
[final] ).
tcf(c_0_470,plain,
! [X1: '$ki_world'] :
( v7(esk1_0)
| v6('$ki_local_world')
| ~ v8(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_367,c_0_57]),
[final] ).
tcf(c_0_471,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(esk1_0)
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_68]),c_0_57])]),c_0_368]),
[final] ).
tcf(c_0_472,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v6('$ki_local_world')
| ~ v8(X1)
| ~ v2(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_369,c_0_57]),
[final] ).
tcf(c_0_473,plain,
! [X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v4(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_370,c_0_57]),
[final] ).
tcf(c_0_474,plain,
! [X1: '$ki_world'] :
( v7(esk1_0)
| v6('$ki_local_world')
| ~ v8(X1)
| ~ v2(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_475,plain,
! [X1: '$ki_world'] :
( v7(X1)
| v5(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_476,plain,
( v6(esk1_0)
| v2('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_345,c_0_68]),
[final] ).
tcf(c_0_477,plain,
( v6(esk1_0)
| v2('$ki_local_world')
| ~ v5(esk1_0)
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_135,c_0_68]),
[final] ).
tcf(c_0_478,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_57]),c_0_128]),
[final] ).
tcf(c_0_479,plain,
( v8('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_372,c_0_57]),
[final] ).
tcf(c_0_480,plain,
! [X1: '$ki_world'] :
( v4(X1)
| ~ v8(esk1_0)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_57]),c_0_374]),
[final] ).
tcf(c_0_481,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_375,c_0_57]),
[final] ).
tcf(c_0_482,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7(esk1_0)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_376,c_0_57]),
[final] ).
tcf(c_0_483,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| v2(X1)
| ~ v7(esk1_0)
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_484,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v1(esk1_0)
| ~ v2(X1)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_377,c_0_57]),
[final] ).
tcf(c_0_485,plain,
! [X1: '$ki_world'] :
( v6(X1)
| ~ v7('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_378,c_0_57]),
[final] ).
tcf(c_0_487,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v8('$ki_local_world')
| v1(X1)
| ~ v2(X2)
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_492,plain,
! [X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_383,c_0_57]),
[final] ).
tcf(c_0_493,plain,
! [X1: '$ki_world'] :
( v7(esk1_0)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_494,plain,
! [X1: '$ki_world'] :
( v6(X1)
| ~ v7('$ki_local_world')
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_384,c_0_57]),
[final] ).
tcf(c_0_495,plain,
! [X1: '$ki_world'] :
( v6(X1)
| ~ v7(esk1_0)
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_385,c_0_57]),
[final] ).
tcf(c_0_496,plain,
! [X1: '$ki_world'] :
( v6(X1)
| ~ v7(esk1_0)
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_500,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| v2('$ki_local_world')
| v1(X1)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_388,c_0_57]),
[final] ).
tcf(c_0_504,plain,
! [X1: '$ki_world'] :
( v3(X1)
| v2('$ki_local_world')
| v1(esk1_0)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_505,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3(esk1_0)
| v2('$ki_local_world')
| v1(X1)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_506,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(esk1_0)
| ~ v6(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_508,plain,
! [X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_391,c_0_68]),
[final] ).
tcf(c_0_509,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v1(X1)
| ~ v6('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_392,c_0_57]),
[final] ).
tcf(c_0_510,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v1(esk1_0)
| ~ v6('$ki_local_world')
| ~ v5(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_512,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v6(esk1_0)
| v5(X1)
| ~ v7(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_393,c_0_68]),
[final] ).
tcf(c_0_513,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v6('$ki_local_world')
| v5(X1)
| ~ v7(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_393,c_0_57]),
[final] ).
tcf(c_0_514,plain,
! [X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6(esk1_0)
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_394,c_0_68]),
[final] ).
tcf(c_0_515,plain,
! [X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_395,c_0_57]),
[final] ).
tcf(c_0_516,plain,
! [X1: '$ki_world'] :
( v8(X1)
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_396,c_0_57]),
[final] ).
tcf(c_0_517,plain,
! [X1: '$ki_world'] :
( v8(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4(X1)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_518,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| ~ v6(esk1_0)
| ~ v3(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_397,c_0_68]),
[final] ).
tcf(c_0_519,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v3(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_397,c_0_57]),
[final] ).
tcf(c_0_520,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v2('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v4(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_57]),
[final] ).
tcf(c_0_521,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v1(X1)
| ~ v6('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_398,c_0_57]),
[final] ).
tcf(c_0_522,plain,
! [X1: '$ki_world'] :
( v6(X1)
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_399,c_0_68]),
[final] ).
tcf(c_0_523,plain,
! [X1: '$ki_world'] :
( v6(X1)
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_399,c_0_57]),
[final] ).
tcf(c_0_524,plain,
! [X1: '$ki_world'] :
( v8(X1)
| v6('$ki_local_world')
| ~ v8('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_400,c_0_57]),
[final] ).
tcf(c_0_526,plain,
! [X1: '$ki_world'] :
( v8(X1)
| ~ v6('$ki_local_world')
| ~ v4(esk1_0)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_402,c_0_57]),
[final] ).
tcf(c_0_527,plain,
! [X1: '$ki_world'] :
( v7(esk1_0)
| ~ v6(esk1_0)
| ~ v3(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_403,c_0_68]),
[final] ).
tcf(c_0_528,plain,
! [X1: '$ki_world'] :
( v7(esk1_0)
| ~ v6('$ki_local_world')
| ~ v3(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_403,c_0_57]),
[final] ).
tcf(c_0_529,plain,
! [X1: '$ki_world'] :
( v6(X1)
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_404,c_0_68]),
[final] ).
tcf(c_0_530,plain,
! [X1: '$ki_world'] :
( v6(X1)
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_404,c_0_57]),
[final] ).
tcf(c_0_531,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_57]),
[final] ).
tcf(c_0_532,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| ~ v8('$ki_local_world')
| ~ v3(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_57]),
[final] ).
tcf(c_0_533,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v3(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_407,c_0_57]),
[final] ).
tcf(c_0_535,plain,
! [X1: '$ki_world'] :
( v8(X1)
| v6('$ki_local_world')
| ~ v8(esk1_0)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_537,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v2(esk1_0)
| ~ v3('$ki_local_world')
| ~ v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_539,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| ~ v8(esk1_0)
| ~ v3(X1)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_541,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v3(X1)
| ~ v2(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_542,plain,
! [X1: '$ki_world'] :
( ~ v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3(X1)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_410,c_0_57]),
[final] ).
tcf(c_0_543,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v5(X1)
| v4(X2)
| v3('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_411,c_0_57]),
[final] ).
tcf(c_0_544,plain,
! [X1: '$ki_world'] :
( v5(X1)
| v4(esk1_0)
| v3('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_412,c_0_57]),
[final] ).
tcf(c_0_545,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v6('$ki_local_world')
| v3(X1)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_413,c_0_57]),
[final] ).
tcf(c_0_546,plain,
( v8('$ki_local_world')
| v6('$ki_local_world')
| v3(esk1_0)
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_414,c_0_57]),
[final] ).
tcf(c_0_547,plain,
( v5(esk1_0)
| v4('$ki_local_world')
| v3('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_415,c_0_57]),
[final] ).
tcf(c_0_548,plain,
( v5(esk1_0)
| v4(esk1_0)
| v3('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_416,c_0_57]),
[final] ).
tcf(c_0_549,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7('$ki_local_world')
| v4(esk1_0)
| v3(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_417,c_0_57]),
[final] ).
tcf(c_0_550,plain,
! [X1: '$ki_world'] :
( v7('$ki_local_world')
| v4(esk1_0)
| v3(esk1_0)
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_551,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6(X1)
| v3('$ki_local_world')
| ~ v2(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_418,c_0_57]),
[final] ).
tcf(c_0_552,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v6(esk1_0)
| v3('$ki_local_world')
| ~ v2(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_553,plain,
! [X1: '$ki_world'] :
( v6(X1)
| v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_419,c_0_57]),
[final] ).
tcf(c_0_554,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v3(X2)
| v2('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_420,c_0_57]),
[final] ).
tcf(c_0_555,plain,
( v7('$ki_local_world')
| v4('$ki_local_world')
| v2('$ki_local_world')
| ~ v6(esk1_0) ),
inference(spm,[status(thm)],[c_0_421,c_0_68]),
[final] ).
tcf(c_0_556,plain,
( v7('$ki_local_world')
| v4('$ki_local_world')
| v2('$ki_local_world')
| ~ v6('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_421,c_0_57]),
[final] ).
tcf(c_0_557,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v6('$ki_local_world')
| v1(X2)
| ~ v8('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_422,c_0_57]),
[final] ).
tcf(c_0_558,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v6('$ki_local_world')
| v4(X1)
| v1(X2)
| ~ v6(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_423,c_0_57]),
[final] ).
tcf(c_0_559,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v6(esk1_0)
| v3(X1)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_424,c_0_57]),
[final] ).
tcf(c_0_560,plain,
( v8('$ki_local_world')
| v6(esk1_0)
| v3(esk1_0)
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_425,c_0_57]),
[final] ).
tcf(c_0_561,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| v3('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_426,c_0_57]),
[final] ).
tcf(c_0_562,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| v3(esk1_0)
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_427,c_0_57]),
[final] ).
tcf(c_0_563,plain,
( v5('$ki_local_world')
| v4('$ki_local_world')
| v3('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_428,c_0_57]),
[final] ).
tcf(c_0_564,plain,
( v5('$ki_local_world')
| v4(esk1_0)
| v3('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_429,c_0_57]),
[final] ).
tcf(c_0_565,plain,
( v8('$ki_local_world')
| v6('$ki_local_world')
| v5(esk1_0)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_430,c_0_68]),
[final] ).
tcf(c_0_566,plain,
( v8('$ki_local_world')
| v6('$ki_local_world')
| v5('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_430,c_0_57]),
[final] ).
tcf(c_0_567,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8('$ki_local_world')
| v7(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_431,c_0_57]),
[final] ).
tcf(c_0_568,plain,
( v7('$ki_local_world')
| v6('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_57]),c_0_270]),
[final] ).
tcf(c_0_569,plain,
( v1('$ki_local_world')
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_433,c_0_68]),
[final] ).
tcf(c_0_570,plain,
( v7('$ki_local_world')
| v4(esk1_0)
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_434,c_0_68]),
[final] ).
tcf(c_0_571,plain,
( v7('$ki_local_world')
| v4('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_434,c_0_57]),
[final] ).
tcf(c_0_572,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6(esk1_0)
| v3('$ki_local_world')
| v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_435,c_0_363]),
[final] ).
tcf(c_0_573,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6(esk1_0)
| v1('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_436]),c_0_339]),
[final] ).
tcf(c_0_574,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6(esk1_0)
| v3(esk1_0)
| v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_437,c_0_363]),
[final] ).
tcf(c_0_575,plain,
( v8('$ki_local_world')
| v6(esk1_0)
| v5(esk1_0)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_438,c_0_68]),
[final] ).
tcf(c_0_576,plain,
( v8('$ki_local_world')
| v6(esk1_0)
| v5('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_438,c_0_57]),
[final] ).
tcf(c_0_577,plain,
( v3('$ki_local_world')
| v2(esk1_0)
| ~ v7('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_439,c_0_68]),
[final] ).
tcf(c_0_578,plain,
( v3('$ki_local_world')
| v2('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_439,c_0_57]),
[final] ).
tcf(c_0_579,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| v5(esk1_0)
| v2('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_440,c_0_441]),
[final] ).
tcf(c_0_580,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| v5('$ki_local_world')
| v2('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_174,c_0_442]),
[final] ).
tcf(c_0_581,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8('$ki_local_world')
| v1(X1)
| ~ v2(X2)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_443,c_0_57]),
[final] ).
tcf(c_0_582,plain,
( v6('$ki_local_world')
| v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_444,c_0_57]),
[final] ).
tcf(c_0_583,plain,
( v6(esk1_0)
| v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_57]),c_0_446]),
[final] ).
tcf(c_0_584,plain,
! [X1: '$ki_world',X3: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v4(X1)
| v3(X2)
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'(X4,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_585,plain,
( v6('$ki_local_world')
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_447,c_0_57]),
[final] ).
tcf(c_0_586,plain,
( v6(esk1_0)
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_448,c_0_57]),
[final] ).
tcf(c_0_587,plain,
( v6('$ki_local_world')
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_449,c_0_57]),
[final] ).
tcf(c_0_588,plain,
( v6(esk1_0)
| v3('$ki_local_world')
| ~ v2(esk1_0)
| ~ v1(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_589,plain,
( v6('$ki_local_world')
| v1(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_348,c_0_57]),
[final] ).
tcf(c_0_590,plain,
( v6(esk1_0)
| v4('$ki_local_world')
| v1('$ki_local_world')
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_450,c_0_68]),
[final] ).
tcf(c_0_591,plain,
( v6('$ki_local_world')
| v4('$ki_local_world')
| v1('$ki_local_world')
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_450,c_0_57]),
[final] ).
tcf(c_0_592,plain,
( v6(esk1_0)
| v4('$ki_local_world')
| v1(esk1_0)
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_451,c_0_68]),
[final] ).
tcf(c_0_593,plain,
( v6('$ki_local_world')
| v4('$ki_local_world')
| v1(esk1_0)
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_451,c_0_57]),
[final] ).
tcf(c_0_594,plain,
( v8(esk1_0)
| v3(esk1_0)
| v2('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_452,c_0_68]),
[final] ).
tcf(c_0_595,plain,
( v8(esk1_0)
| v3('$ki_local_world')
| v2('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_452,c_0_57]),
[final] ).
tcf(c_0_596,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8(X1)
| v3(X2)
| v2('$ki_local_world')
| ~ v5(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_354,c_0_57]),
[final] ).
tcf(c_0_597,plain,
( v7('$ki_local_world')
| v4('$ki_local_world')
| v2(esk1_0)
| ~ v6(esk1_0) ),
inference(spm,[status(thm)],[c_0_453,c_0_68]),
[final] ).
tcf(c_0_598,plain,
( v7('$ki_local_world')
| v4('$ki_local_world')
| v2(esk1_0)
| ~ v6('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_453,c_0_57]),
[final] ).
tcf(c_0_599,plain,
( v8(esk1_0)
| v3(esk1_0)
| v2('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_454,c_0_68]),
[final] ).
tcf(c_0_600,plain,
( v8(esk1_0)
| v3('$ki_local_world')
| v2('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_454,c_0_57]),
[final] ).
tcf(c_0_601,plain,
( v7('$ki_local_world')
| v4(esk1_0)
| v2('$ki_local_world')
| ~ v6(esk1_0) ),
inference(spm,[status(thm)],[c_0_455,c_0_68]),
[final] ).
tcf(c_0_602,plain,
( v7('$ki_local_world')
| v4(esk1_0)
| v2('$ki_local_world')
| ~ v6('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_455,c_0_57]),
[final] ).
tcf(c_0_603,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6('$ki_local_world')
| v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_456,c_0_270]),
[final] ).
tcf(c_0_604,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| v3('$ki_local_world')
| v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_456,c_0_358]),
[final] ).
tcf(c_0_605,plain,
( v8('$ki_local_world')
| v6('$ki_local_world')
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_457,c_0_458]),
[final] ).
tcf(c_0_606,plain,
( v7('$ki_local_world')
| v4(esk1_0)
| v2(esk1_0)
| ~ v6(esk1_0) ),
inference(spm,[status(thm)],[c_0_459,c_0_68]),
[final] ).
tcf(c_0_607,plain,
( v7('$ki_local_world')
| v4(esk1_0)
| v2(esk1_0)
| ~ v6('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_459,c_0_57]),
[final] ).
tcf(c_0_608,plain,
( v8(esk1_0)
| v7(esk1_0)
| v6(esk1_0)
| v5('$ki_local_world')
| ~ v6('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_460,c_0_293]),
[final] ).
tcf(c_0_609,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6(esk1_0)
| v5('$ki_local_world')
| ~ v6('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_461,c_0_293]),
[final] ).
tcf(c_0_610,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6(esk1_0)
| v1(esk1_0)
| ~ v7(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_363]),c_0_463]),
[final] ).
tcf(c_0_611,plain,
( v8('$ki_local_world')
| v6('$ki_local_world')
| v1(esk1_0)
| ~ v8(esk1_0) ),
inference(spm,[status(thm)],[c_0_356,c_0_68]),
[final] ).
tcf(c_0_612,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v6('$ki_local_world')
| v4(X1)
| v1(esk1_0)
| ~ v6(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_613,plain,
( v3('$ki_local_world')
| v1(esk1_0)
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_464,c_0_57]),
[final] ).
tcf(c_0_614,plain,
( v6('$ki_local_world')
| v4(esk1_0)
| v1('$ki_local_world')
| ~ v6(esk1_0) ),
inference(spm,[status(thm)],[c_0_465,c_0_68]),
[final] ).
tcf(c_0_615,plain,
( v6('$ki_local_world')
| v4('$ki_local_world')
| v1('$ki_local_world')
| ~ v6(esk1_0) ),
inference(spm,[status(thm)],[c_0_465,c_0_57]),
[final] ).
tcf(c_0_616,plain,
( v6('$ki_local_world')
| v4(esk1_0)
| v1(esk1_0)
| ~ v6(esk1_0) ),
inference(spm,[status(thm)],[c_0_466,c_0_68]),
[final] ).
tcf(c_0_617,plain,
( v6('$ki_local_world')
| v4('$ki_local_world')
| v1(esk1_0)
| ~ v6(esk1_0) ),
inference(spm,[status(thm)],[c_0_466,c_0_57]),
[final] ).
tcf(c_0_618,plain,
( v8(esk1_0)
| v7(esk1_0)
| v6(esk1_0)
| v5(esk1_0)
| ~ v6('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_467,c_0_468]),
[final] ).
tcf(c_0_619,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6(esk1_0)
| v5(esk1_0)
| ~ v6('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_469,c_0_468]),
[final] ).
tcf(c_0_620,plain,
( v7(esk1_0)
| v6('$ki_local_world')
| ~ v8(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_470,c_0_68]),
[final] ).
tcf(c_0_621,plain,
( v7(esk1_0)
| v6('$ki_local_world')
| ~ v8('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_470,c_0_57]),
[final] ).
tcf(c_0_622,plain,
( v8(esk1_0)
| v7('$ki_local_world')
| v6(esk1_0)
| v5(esk1_0)
| v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_292,c_0_468]),
[final] ).
tcf(c_0_623,plain,
( v8('$ki_local_world')
| v7(esk1_0)
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_471,c_0_68]),
[final] ).
tcf(c_0_624,plain,
( v8('$ki_local_world')
| v7(esk1_0)
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_471,c_0_57]),
[final] ).
tcf(c_0_625,plain,
( v7('$ki_local_world')
| v6('$ki_local_world')
| ~ v8(esk1_0)
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_472,c_0_68]),
[final] ).
tcf(c_0_626,plain,
( v7('$ki_local_world')
| v6('$ki_local_world')
| ~ v8('$ki_local_world')
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_472,c_0_57]),
[final] ).
tcf(c_0_627,plain,
( v7(esk1_0)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_473,c_0_68]),
[final] ).
tcf(c_0_628,plain,
( v7('$ki_local_world')
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_473,c_0_57]),
[final] ).
tcf(c_0_629,plain,
( v7(esk1_0)
| v6('$ki_local_world')
| ~ v8(esk1_0)
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_474,c_0_68]),
[final] ).
tcf(c_0_630,plain,
( v7(esk1_0)
| v6('$ki_local_world')
| ~ v8('$ki_local_world')
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_474,c_0_57]),
[final] ).
tcf(c_0_631,plain,
( v7(esk1_0)
| v5(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_475,c_0_68]),
[final] ).
tcf(c_0_632,plain,
( v7('$ki_local_world')
| v5(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_475,c_0_57]),
[final] ).
tcf(c_0_633,plain,
( v8(esk1_0)
| v6(esk1_0)
| v5(esk1_0)
| v2('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_476,c_0_468]),
[final] ).
tcf(c_0_634,plain,
( v8(esk1_0)
| v6(esk1_0)
| v5('$ki_local_world')
| v2('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_477,c_0_293]),
[final] ).
tcf(c_0_635,plain,
( v7('$ki_local_world')
| v4(esk1_0)
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_478,c_0_68]),
[final] ).
tcf(c_0_636,plain,
( v7('$ki_local_world')
| v4('$ki_local_world')
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_478,c_0_57]),
[final] ).
tcf(c_0_637,plain,
( v8('$ki_local_world')
| v2('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_167]),c_0_175]),c_0_479]),
[final] ).
tcf(c_0_638,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v3(esk1_0)
| v3('$ki_local_world')
| v1(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_639,plain,
( v8('$ki_local_world')
| v7(esk1_0)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_296,c_0_57]),
[final] ).
tcf(c_0_640,plain,
( v4(esk1_0)
| ~ v8(esk1_0)
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_480,c_0_68]),
[final] ).
tcf(c_0_641,plain,
( v4('$ki_local_world')
| ~ v8(esk1_0)
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_480,c_0_57]),
[final] ).
tcf(c_0_642,plain,
( v3('$ki_local_world')
| v2(esk1_0)
| ~ v7('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_481,c_0_68]),
[final] ).
tcf(c_0_643,plain,
( v3('$ki_local_world')
| v2('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_481,c_0_57]),
[final] ).
tcf(c_0_644,plain,
( v3('$ki_local_world')
| v2(esk1_0)
| ~ v7(esk1_0)
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_482,c_0_68]),
[final] ).
tcf(c_0_645,plain,
( v3('$ki_local_world')
| v2('$ki_local_world')
| ~ v7(esk1_0)
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_482,c_0_57]),
[final] ).
tcf(c_0_646,plain,
( v3('$ki_local_world')
| v2(esk1_0)
| ~ v7(esk1_0)
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_483,c_0_68]),
[final] ).
tcf(c_0_647,plain,
( v3('$ki_local_world')
| v2('$ki_local_world')
| ~ v7(esk1_0)
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_483,c_0_57]),
[final] ).
tcf(c_0_648,plain,
( v8('$ki_local_world')
| v1(esk1_0)
| ~ v2(esk1_0)
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_484,c_0_68]),
[final] ).
tcf(c_0_649,plain,
( v8('$ki_local_world')
| v1(esk1_0)
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_484,c_0_57]),
[final] ).
tcf(c_0_650,plain,
( v6(esk1_0)
| ~ v7('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_485,c_0_68]),
[final] ).
tcf(c_0_651,plain,
( v6('$ki_local_world')
| v1('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_57]),c_0_339]),
[final] ).
tcf(c_0_652,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v8('$ki_local_world')
| v1(X1)
| ~ v2(X2)
| ~ v1(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_487,c_0_57]),
[final] ).
tcf(c_0_653,plain,
! [X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_488,c_0_57]),
[final] ).
tcf(c_0_654,plain,
( v7(esk1_0)
| v5('$ki_local_world')
| ~ v7('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_489,c_0_57]),
[final] ).
tcf(c_0_655,plain,
( v4('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_490,c_0_57]),
[final] ).
tcf(c_0_656,plain,
( v6('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_57]),c_0_479]),
[final] ).
tcf(c_0_657,plain,
! [X1: '$ki_world'] :
( v8(X1)
| v7('$ki_local_world')
| v1(esk1_0)
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_658,plain,
( v7('$ki_local_world')
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_492,c_0_57]),
[final] ).
tcf(c_0_659,plain,
( v7(esk1_0)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_493,c_0_57]),
[final] ).
tcf(c_0_660,plain,
( v6(esk1_0)
| ~ v7('$ki_local_world')
| ~ v5(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_494,c_0_68]),
[final] ).
tcf(c_0_661,plain,
( v6(esk1_0)
| ~ v7(esk1_0)
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_495,c_0_68]),
[final] ).
tcf(c_0_662,plain,
( v6(esk1_0)
| ~ v7(esk1_0)
| ~ v5(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_496,c_0_68]),
[final] ).
tcf(c_0_663,plain,
( v4(esk1_0)
| ~ v7('$ki_local_world')
| ~ v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_497,c_0_57]),
[final] ).
tcf(c_0_664,plain,
( v4('$ki_local_world')
| ~ v7(esk1_0)
| ~ v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_498,c_0_57]),
[final] ).
tcf(c_0_665,plain,
( v4(esk1_0)
| ~ v7(esk1_0)
| ~ v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_499,c_0_57]),
[final] ).
tcf(c_0_666,plain,
( v2('$ki_local_world')
| v1('$ki_local_world')
| ~ v6('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_57]),c_0_339]),
[final] ).
tcf(c_0_667,plain,
( v6('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v5(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_57]),c_0_111]),
[final] ).
tcf(c_0_668,plain,
( v6('$ki_local_world')
| ~ v7(esk1_0)
| ~ v5(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_57]),c_0_231]),
[final] ).
tcf(c_0_669,plain,
( v6(esk1_0)
| v1('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_57]),c_0_339]),
[final] ).
tcf(c_0_670,plain,
( v3('$ki_local_world')
| v2('$ki_local_world')
| v1(esk1_0)
| ~ v6('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_504,c_0_57]),
[final] ).
tcf(c_0_671,plain,
! [X1: '$ki_world'] :
( v3(esk1_0)
| v2('$ki_local_world')
| v1(X1)
| ~ v6('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_505,c_0_57]),
[final] ).
tcf(c_0_672,plain,
( v3(esk1_0)
| v2('$ki_local_world')
| v1(esk1_0)
| ~ v6('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_673,plain,
( v8('$ki_local_world')
| v7(esk1_0)
| ~ v6('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_57]),c_0_507]),
[final] ).
tcf(c_0_674,plain,
( v7(esk1_0)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_508,c_0_68]),
[final] ).
tcf(c_0_675,plain,
( v7('$ki_local_world')
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_508,c_0_57]),
[final] ).
tcf(c_0_676,plain,
( v7('$ki_local_world')
| v1('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_509,c_0_57]),
[final] ).
tcf(c_0_677,plain,
( v7('$ki_local_world')
| v1(esk1_0)
| ~ v6('$ki_local_world')
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_510,c_0_57]),
[final] ).
tcf(c_0_678,plain,
( v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_277,c_0_57]),
[final] ).
tcf(c_0_679,plain,
( v6(esk1_0)
| ~ v4('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_511,c_0_57]),
[final] ).
tcf(c_0_680,plain,
( v7('$ki_local_world')
| v6(esk1_0)
| v5(esk1_0)
| ~ v7(esk1_0) ),
inference(spm,[status(thm)],[c_0_512,c_0_68]),
[final] ).
tcf(c_0_681,plain,
( v7('$ki_local_world')
| v6(esk1_0)
| v5('$ki_local_world')
| ~ v7(esk1_0) ),
inference(spm,[status(thm)],[c_0_512,c_0_57]),
[final] ).
tcf(c_0_682,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v7('$ki_local_world')
| v6(X1)
| v5(X2)
| ~ v7(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_314,c_0_57]),
[final] ).
tcf(c_0_683,plain,
( v7('$ki_local_world')
| v6('$ki_local_world')
| v5(esk1_0)
| ~ v7(esk1_0) ),
inference(spm,[status(thm)],[c_0_513,c_0_68]),
[final] ).
tcf(c_0_684,plain,
( v7('$ki_local_world')
| v6('$ki_local_world')
| v5('$ki_local_world')
| ~ v7(esk1_0) ),
inference(spm,[status(thm)],[c_0_513,c_0_57]),
[final] ).
tcf(c_0_685,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v7(X1)
| v5('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v7(esk1_0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_686,plain,
( v7(esk1_0)
| v5('$ki_local_world')
| ~ v6(esk1_0)
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_514,c_0_68]),
[final] ).
tcf(c_0_687,plain,
( v7('$ki_local_world')
| v5('$ki_local_world')
| ~ v6(esk1_0)
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_514,c_0_57]),
[final] ).
tcf(c_0_688,plain,
( v7('$ki_local_world')
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_515,c_0_57]),
[final] ).
tcf(c_0_689,plain,
( v7(esk1_0)
| v5('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v1(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_690,plain,
! [X1: '$ki_world'] :
( v8('$ki_local_world')
| v7(X1)
| ~ v6(esk1_0)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_57]),
[final] ).
tcf(c_0_691,plain,
( v8('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_516,c_0_57]),
[final] ).
tcf(c_0_692,plain,
( v8(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_517,c_0_57]),
[final] ).
tcf(c_0_693,plain,
( v7('$ki_local_world')
| ~ v6(esk1_0)
| ~ v3(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_518,c_0_68]),
[final] ).
tcf(c_0_694,plain,
( v7('$ki_local_world')
| ~ v6(esk1_0)
| ~ v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_518,c_0_57]),
[final] ).
tcf(c_0_695,plain,
( v7('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v3(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_519,c_0_68]),
[final] ).
tcf(c_0_696,plain,
( v7('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_519,c_0_57]),
[final] ).
tcf(c_0_697,plain,
( v6('$ki_local_world')
| v2('$ki_local_world')
| ~ v5(esk1_0)
| ~ v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_57]),
[final] ).
tcf(c_0_698,plain,
( v6(esk1_0)
| v2('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_520,c_0_68]),
[final] ).
tcf(c_0_699,plain,
( v6('$ki_local_world')
| v2('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_520,c_0_57]),
[final] ).
tcf(c_0_700,plain,
( v7('$ki_local_world')
| v1('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v5(esk1_0) ),
inference(spm,[status(thm)],[c_0_521,c_0_57]),
[final] ).
tcf(c_0_701,plain,
( v7('$ki_local_world')
| v1(esk1_0)
| ~ v6('$ki_local_world')
| ~ v5(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_702,plain,
( v6(esk1_0)
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_522,c_0_68]),
[final] ).
tcf(c_0_703,plain,
( v6('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_522,c_0_57]),
[final] ).
tcf(c_0_704,plain,
( v6(esk1_0)
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_523,c_0_68]),
[final] ).
tcf(c_0_705,plain,
( v6('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_523,c_0_57]),
[final] ).
tcf(c_0_706,plain,
( v8(esk1_0)
| v6('$ki_local_world')
| ~ v8('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_524,c_0_68]),
[final] ).
tcf(c_0_707,plain,
( v6('$ki_local_world')
| v3('$ki_local_world')
| ~ v7('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_525,c_0_57]),
[final] ).
tcf(c_0_708,plain,
( v8('$ki_local_world')
| ~ v6('$ki_local_world')
| ~ v4(esk1_0)
| ~ v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_526,c_0_57]),
[final] ).
tcf(c_0_709,plain,
( v8(esk1_0)
| ~ v6('$ki_local_world')
| ~ v4(esk1_0)
| ~ v3('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_710,plain,
( v7(esk1_0)
| ~ v6(esk1_0)
| ~ v3(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_527,c_0_68]),
[final] ).
tcf(c_0_711,plain,
( v7(esk1_0)
| ~ v6(esk1_0)
| ~ v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_527,c_0_57]),
[final] ).
tcf(c_0_712,plain,
( v7(esk1_0)
| ~ v6('$ki_local_world')
| ~ v3(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_528,c_0_68]),
[final] ).
tcf(c_0_713,plain,
( v7(esk1_0)
| ~ v6('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_528,c_0_57]),
[final] ).
tcf(c_0_714,plain,
( v6(esk1_0)
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_529,c_0_68]),
[final] ).
tcf(c_0_715,plain,
( v6('$ki_local_world')
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ v1(esk1_0) ),
inference(spm,[status(thm)],[c_0_529,c_0_57]),
[final] ).
tcf(c_0_716,plain,
( v6(esk1_0)
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_530,c_0_68]),
[final] ).
tcf(c_0_717,plain,
( v6('$ki_local_world')
| ~ v5(esk1_0)
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_530,c_0_57]),
[final] ).
tcf(c_0_718,plain,
( v7('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_531,c_0_68]),
[final] ).
tcf(c_0_719,plain,
( v3('$ki_local_world')
| ~ v8('$ki_local_world')
| ~ v3(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_532,c_0_68]),
[final] ).
tcf(c_0_720,plain,
( v3('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v3(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_533,c_0_68]),
[final] ).
tcf(c_0_721,plain,
( v6('$ki_local_world')
| v3(esk1_0)
| ~ v7('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_534,c_0_68]),
[final] ).
tcf(c_0_722,plain,
( v8('$ki_local_world')
| v6('$ki_local_world')
| ~ v8(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_535,c_0_57]),
[final] ).
tcf(c_0_723,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v1('$ki_local_world')
| v2('$ki_local_world')
| v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_536]),
[final] ).
tcf(c_0_724,plain,
( v7('$ki_local_world')
| v2(esk1_0)
| ~ v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_537,c_0_57]),
[final] ).
tcf(c_0_725,plain,
( ~ v8('$ki_local_world')
| ~ v6(esk1_0)
| ~ v5('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_538,c_0_57]),
[final] ).
tcf(c_0_726,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ v8('$ki_local_world')
| ~ v8(esk1_0)
| ~ v6(X1)
| ~ v5('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_727,plain,
( v3('$ki_local_world')
| ~ v8(esk1_0)
| ~ v3(esk1_0)
| ~ v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_539,c_0_68]),
[final] ).
tcf(c_0_728,plain,
( ~ v8('$ki_local_world')
| ~ v7('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_540,c_0_57]),
[final] ).
tcf(c_0_729,plain,
! [X1: '$ki_world'] :
( ~ v8(X1)
| ~ v7('$ki_local_world')
| ~ v7(esk1_0)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_68]),c_0_57])]),
[final] ).
tcf(c_0_730,plain,
( v3('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v3(esk1_0)
| ~ v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_541,c_0_68]),
[final] ).
tcf(c_0_731,plain,
( ~ v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_542,c_0_57]),
[final] ).
tcf(c_0_732,plain,
( ~ v6('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3(esk1_0)
| ~ v1('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_68]),c_0_57])]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO915_14 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 09:22:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.59 # Version: 3.1.0
% 0.77/0.59 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.59 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.59 # Starting sh5l with 300s (1) cores
% 0.77/0.59 # new_bool_1 with pid 28753 completed with status 8
% 0.77/0.59 # new_bool_3 with pid 28752 completed with status 8
% 0.77/0.59 # sh5l with pid 28754 completed with status 8
% 0.77/0.59 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 28751 completed with status 1
% 0.77/0.59 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.77/0.59 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.59 # No SInE strategy applied
% 0.77/0.59 # Search class: FGHNF-FSMF00-SFFFFFNN
% 0.77/0.59 # partial match(1): FGHNF-FSMM00-SFFFFFNN
% 0.77/0.59 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.77/0.59 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 811s (1) cores
% 0.77/0.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.77/0.59 # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.77/0.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.77/0.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2c with 136s (1) cores
% 0.77/0.59 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 28779 completed with status 1
% 0.77/0.59 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 0.77/0.59 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.59 # No SInE strategy applied
% 0.77/0.59 # Search class: FGHNF-FSMF00-SFFFFFNN
% 0.77/0.59 # partial match(1): FGHNF-FSMM00-SFFFFFNN
% 0.77/0.59 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.77/0.59 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 811s (1) cores
% 0.77/0.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.77/0.59 # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.77/0.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.77/0.59 # Preprocessing time : 0.002 s
% 0.77/0.59 # Presaturation interreduction done
% 0.77/0.59
% 0.77/0.59 # No proof found!
% 0.77/0.59 # SZS status CounterSatisfiable
% 0.77/0.59 # SZS output start Saturation
% See solution above
% 0.77/0.59 # Parsed axioms : 64
% 0.77/0.59 # Removed by relevancy pruning/SinE : 0
% 0.77/0.59 # Initial clauses : 65
% 0.77/0.59 # Removed in clause preprocessing : 13
% 0.77/0.59 # Initial clauses in saturation : 52
% 0.77/0.59 # Processed clauses : 1002
% 0.77/0.59 # ...of these trivial : 0
% 0.77/0.59 # ...subsumed : 301
% 0.77/0.59 # ...remaining for further processing : 701
% 0.77/0.59 # Other redundant clauses eliminated : 0
% 0.77/0.59 # Clauses deleted for lack of memory : 0
% 0.77/0.59 # Backward-subsumed : 130
% 0.77/0.59 # Backward-rewritten : 0
% 0.77/0.59 # Generated clauses : 1080
% 0.77/0.59 # ...of the previous two non-redundant : 968
% 0.77/0.59 # ...aggressively subsumed : 0
% 0.77/0.59 # Contextual simplify-reflections : 42
% 0.77/0.59 # Paramodulations : 1080
% 0.77/0.59 # Factorizations : 0
% 0.77/0.59 # NegExts : 0
% 0.77/0.59 # Equation resolutions : 0
% 0.77/0.59 # Disequality decompositions : 0
% 0.77/0.59 # Total rewrite steps : 124
% 0.77/0.59 # ...of those cached : 123
% 0.77/0.59 # Propositional unsat checks : 0
% 0.77/0.59 # Propositional check models : 0
% 0.77/0.59 # Propositional check unsatisfiable : 0
% 0.77/0.59 # Propositional clauses : 0
% 0.77/0.59 # Propositional clauses after purity: 0
% 0.77/0.59 # Propositional unsat core size : 0
% 0.77/0.59 # Propositional preprocessing time : 0.000
% 0.77/0.59 # Propositional encoding time : 0.000
% 0.77/0.59 # Propositional solver time : 0.000
% 0.77/0.59 # Success case prop preproc time : 0.000
% 0.77/0.59 # Success case prop encoding time : 0.000
% 0.77/0.59 # Success case prop solver time : 0.000
% 0.77/0.59 # Current number of processed clauses : 519
% 0.77/0.59 # Positive orientable unit clauses : 2
% 0.77/0.59 # Positive unorientable unit clauses: 0
% 0.77/0.59 # Negative unit clauses : 0
% 0.77/0.59 # Non-unit-clauses : 517
% 0.77/0.59 # Current number of unprocessed clauses: 0
% 0.77/0.59 # ...number of literals in the above : 0
% 0.77/0.59 # Current number of archived formulas : 0
% 0.77/0.59 # Current number of archived clauses : 182
% 0.77/0.59 # Clause-clause subsumption calls (NU) : 24724
% 0.77/0.59 # Rec. Clause-clause subsumption calls : 1446
% 0.77/0.59 # Non-unit clause-clause subsumptions : 473
% 0.77/0.59 # Unit Clause-clause subsumption calls : 0
% 0.77/0.59 # Rewrite failures with RHS unbound : 0
% 0.77/0.59 # BW rewrite match attempts : 1
% 0.77/0.59 # BW rewrite match successes : 0
% 0.77/0.59 # Condensation attempts : 0
% 0.77/0.59 # Condensation successes : 0
% 0.77/0.59 # Termbank termtop insertions : 43623
% 0.77/0.59 # Search garbage collected termcells : 2176
% 0.77/0.59
% 0.77/0.59 # -------------------------------------------------
% 0.77/0.59 # User time : 0.092 s
% 0.77/0.59 # System time : 0.009 s
% 0.77/0.59 # Total time : 0.101 s
% 0.77/0.59 # Maximum resident set size: 2548 pages
% 0.77/0.59
% 0.77/0.59 # -------------------------------------------------
% 0.77/0.59 # User time : 0.461 s
% 0.77/0.59 # System time : 0.053 s
% 0.77/0.59 # Total time : 0.514 s
% 0.77/0.59 # Maximum resident set size: 1988 pages
% 0.77/0.59 % E---3.1 exiting
%------------------------------------------------------------------------------