%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO903_10 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:48:59 PM UTC 2026
% Result : ContradictoryAxioms 0.22s 0.47s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 20
% Syntax : Number of formulae : 160 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 925 ( 0 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 1235 ( 470 ~; 648 |; 2 &)
% ( 0 <=>; 115 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 382 ( 0 sgn 381 !; 1 ?; 382 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'$ki_world': $tType ).
tff(decl_23,type,
'$ki_local_world': '$ki_world' ).
tff(decl_24,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(decl_25,type,
v1: '$ki_world' > $o ).
tff(decl_26,type,
v2: '$ki_world' > $o ).
tff(decl_27,type,
v3: '$ki_world' > $o ).
tff(decl_28,type,
v4: '$ki_world' > $o ).
tff(decl_29,type,
esk1_0: '$ki_world' ).
tff(persat22,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v2(X1) )
| v4('$ki_local_world')
| v3('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat22) ).
tff(mrel_reflexive,axiom,
! [X1: '$ki_world'] : '$ki_accessible'(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(persat8,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v3(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ~ v2('$ki_local_world')
| v1('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat8) ).
tff(persat4,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| v2('$ki_local_world')
| v1('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat4) ).
tff(persat13,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v2(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v2(X1) )
| v1('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat13) ).
tff(persat5,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v3(X4) ) )
| v3('$ki_local_world')
| v1('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat5) ).
tff(persat16,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v2(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v2(X1) )
| v4('$ki_local_world')
| v2('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat16) ).
tff(deontic1,axiom,
? [X1: '$ki_world'] :
( $true
& '$ki_accessible'('$ki_local_world',X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deontic1) ).
tff(persat15,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ~ v3('$ki_local_world')
| v4('$ki_local_world')
| v2('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat15) ).
tff(persat14,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| v4('$ki_local_world')
| v3('$ki_local_world')
| v2('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat14) ).
tff(persat24,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v2(X4) ) )
| v4('$ki_local_world')
| v3('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat24) ).
tff(persat46,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v2(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v4(X1) )
| ~ v3('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat46) ).
tff(persat40,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) )
| ~ v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat40) ).
tff(persat33,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v3(X1) )
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat33) ).
tff(persat35,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ~ v3('$ki_local_world')
| ~ v1('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat35) ).
tff(persat11,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v3(X4) ) )
| ~ v4('$ki_local_world')
| v1('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat11) ).
tff(persat48,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v2(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v3(X1) )
| ~ v4('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat48) ).
tff(persat26,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v3(X4) ) )
| ~ v4('$ki_local_world')
| v3('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat26) ).
tff(persat7,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v2(X4) ) )
| ~ v4('$ki_local_world')
| ~ v2('$ki_local_world')
| v1('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat7) ).
tff(persat36,axiom,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v3(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) )
| ~ v3('$ki_local_world')
| ~ v1('$ki_local_world') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat36) ).
tff(c_0_20,plain,
! [X79: '$ki_world',X80: '$ki_world',X81: '$ki_world'] :
( v1(X81)
| ~ '$ki_accessible'(X80,X81)
| ~ '$ki_accessible'('$ki_local_world',X80)
| v2(X79)
| ~ '$ki_accessible'('$ki_local_world',X79)
| v4('$ki_local_world')
| v3('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[persat22])])])]) ).
tff(c_0_21,plain,
! [X5: '$ki_world'] : '$ki_accessible'(X5,X5),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
tcf(c_0_22,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v1(X3)
| v2(X1)
| v4('$ki_local_world')
| v3('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
tcf(c_0_23,plain,
! [X1: '$ki_world'] : '$ki_accessible'(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
tff(c_0_24,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v3(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ~ v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat8]) ).
tcf(c_0_25,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| v1(X2)
| v2(X1)
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
tff(c_0_26,plain,
! [X27: '$ki_world',X28: '$ki_world',X29: '$ki_world'] :
( v3(X29)
| ~ '$ki_accessible'(X28,X29)
| ~ '$ki_accessible'('$ki_local_world',X28)
| ~ v3(X27)
| ~ '$ki_accessible'('$ki_local_world',X27)
| ~ v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
tcf(c_0_27,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| v1('$ki_local_world')
| v2(X1)
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
tff(c_0_28,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat4]) ).
tcf(c_0_29,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2('$ki_local_world')
| v3(X3)
| v1('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
tcf(c_0_30,plain,
( v1('$ki_local_world')
| v2('$ki_local_world')
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
tff(c_0_31,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v2(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v2(X1) )
| v1('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat13]) ).
tff(c_0_32,plain,
! [X15: '$ki_world',X16: '$ki_world',X17: '$ki_world'] :
( v1(X17)
| ~ '$ki_accessible'(X16,X17)
| ~ '$ki_accessible'('$ki_local_world',X16)
| ~ v3(X15)
| ~ '$ki_accessible'('$ki_local_world',X15)
| v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
tff(c_0_33,plain,
! [X18: '$ki_world',X19: '$ki_world',X20: '$ki_world',X21: '$ki_world'] :
( v4(X21)
| ~ '$ki_accessible'(X20,X21)
| ~ '$ki_accessible'('$ki_local_world',X20)
| v3(X19)
| ~ '$ki_accessible'(X18,X19)
| ~ '$ki_accessible'('$ki_local_world',X18)
| v3('$ki_local_world')
| v1('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[persat5])])])]) ).
tcf(c_0_34,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v3(X2)
| v1('$ki_local_world')
| v3(X1)
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
tff(c_0_35,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v2(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v2(X1) )
| v4('$ki_local_world')
| v2('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat16]) ).
tff(c_0_36,plain,
! [X44: '$ki_world',X45: '$ki_world',X46: '$ki_world',X47: '$ki_world',X48: '$ki_world'] :
( ~ v2(X48)
| ~ '$ki_accessible'(X47,X48)
| ~ '$ki_accessible'('$ki_local_world',X47)
| v4(X46)
| ~ '$ki_accessible'(X45,X46)
| ~ '$ki_accessible'('$ki_local_world',X45)
| v2(X44)
| ~ '$ki_accessible'('$ki_local_world',X44)
| v1('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
tcf(c_0_37,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v1(X3)
| v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
tcf(c_0_38,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v4(X4)
| v3(X2)
| v3('$ki_local_world')
| v1('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
tff(c_0_39,plain,
( $true
& '$ki_accessible'('$ki_local_world',esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[deontic1])])])]) ).
tcf(c_0_40,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X2)
| v1('$ki_local_world')
| v3(X1)
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
tff(c_0_41,plain,
! [X53: '$ki_world',X54: '$ki_world',X55: '$ki_world'] :
( v2(X55)
| ~ '$ki_accessible'(X54,X55)
| ~ '$ki_accessible'('$ki_local_world',X54)
| ~ v2(X53)
| ~ '$ki_accessible'('$ki_local_world',X53)
| v4('$ki_local_world')
| v2('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
tff(c_0_42,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ~ v3('$ki_local_world')
| v4('$ki_local_world')
| v2('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat15]) ).
tff(c_0_43,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| v4('$ki_local_world')
| v3('$ki_local_world')
| v2('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat14]) ).
tcf(c_0_44,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( ~ v2(X5)
| ~ '$ki_accessible'(X4,X5)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v4(X3)
| v2(X1)
| v1('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
tcf(c_0_45,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X2)
| v1(X1)
| v1('$ki_local_world')
| v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_37,c_0_23]) ).
tcf(c_0_46,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v1('$ki_local_world')
| v3(X2)
| v3('$ki_local_world')
| v4(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_23]) ).
tcf(c_0_47,plain,
'$ki_accessible'('$ki_local_world',esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
tcf(c_0_48,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| v1('$ki_local_world')
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_40,c_0_23]) ).
tcf(c_0_49,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v2(X3)
| v4('$ki_local_world')
| v2('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
tff(c_0_50,plain,
! [X86: '$ki_world',X87: '$ki_world',X88: '$ki_world',X89: '$ki_world'] :
( v4(X89)
| ~ '$ki_accessible'(X88,X89)
| ~ '$ki_accessible'('$ki_local_world',X88)
| v2(X87)
| ~ '$ki_accessible'(X86,X87)
| ~ '$ki_accessible'('$ki_local_world',X86)
| v4('$ki_local_world')
| v3('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[persat24])])])]) ).
tff(c_0_51,plain,
! [X51: '$ki_world',X52: '$ki_world'] :
( ~ v4(X52)
| ~ '$ki_accessible'(X51,X52)
| ~ '$ki_accessible'('$ki_local_world',X51)
| ~ v3('$ki_local_world')
| v4('$ki_local_world')
| v2('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])]) ).
tff(c_0_52,plain,
! [X49: '$ki_world',X50: '$ki_world'] :
( ~ v4(X50)
| ~ '$ki_accessible'(X49,X50)
| ~ '$ki_accessible'('$ki_local_world',X49)
| v4('$ki_local_world')
| v3('$ki_local_world')
| v2('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
tff(c_0_53,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v2(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v4(X1) )
| ~ v3('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat46]) ).
tcf(c_0_54,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X4,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v2(X3)
| v1('$ki_local_world')
| v2(X2)
| v4(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_23]) ).
tcf(c_0_55,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| v1('$ki_local_world')
| v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_45,c_0_23]) ).
tcf(c_0_56,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| v1('$ki_local_world')
| v3('$ki_local_world')
| v3(esk1_0)
| v4(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_23])]) ).
tcf(c_0_57,plain,
( ~ v3(esk1_0)
| v1('$ki_local_world')
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_48,c_0_47]) ).
tcf(c_0_58,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2(X2)
| v2(X1)
| v2('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_49,c_0_23]) ).
tcf(c_0_59,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v4(X4)
| v2(X2)
| v4('$ki_local_world')
| v3('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
tcf(c_0_60,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ v4(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3('$ki_local_world')
| v4('$ki_local_world')
| v2('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
tcf(c_0_61,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ v4(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v4('$ki_local_world')
| v3('$ki_local_world')
| v2('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
tff(c_0_62,plain,
! [X174: '$ki_world',X175: '$ki_world',X176: '$ki_world',X177: '$ki_world',X178: '$ki_world'] :
( ~ v4(X178)
| ~ '$ki_accessible'(X177,X178)
| ~ '$ki_accessible'('$ki_local_world',X177)
| ~ v2(X176)
| ~ '$ki_accessible'(X175,X176)
| ~ '$ki_accessible'('$ki_local_world',X175)
| ~ v4(X174)
| ~ '$ki_accessible'('$ki_local_world',X174)
| ~ v3('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
tcf(c_0_63,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v2(X3)
| v1('$ki_local_world')
| v2(X2)
| v4(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_23]) ).
tcf(c_0_64,plain,
( ~ v3('$ki_local_world')
| v1('$ki_local_world')
| v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_55,c_0_23]) ).
tcf(c_0_65,plain,
( v1('$ki_local_world')
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_23]),c_0_57]) ).
tff(c_0_66,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) )
| ~ v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat40]) ).
tcf(c_0_67,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| v1('$ki_local_world')
| v3(X1)
| v3('$ki_local_world')
| v4(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_47]),c_0_23])]) ).
tff(c_0_68,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v3(X1) )
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat33]) ).
tcf(c_0_69,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2(X1)
| v2('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_58,c_0_23]) ).
tcf(c_0_70,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| v2(X1)
| v3('$ki_local_world')
| v4('$ki_local_world')
| v4(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_47]),c_0_23])]) ).
tcf(c_0_71,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v4(X1)
| v2('$ki_local_world')
| v4('$ki_local_world') ),
inference(csr,[status(thm)],[c_0_60,c_0_61]) ).
tcf(c_0_72,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( ~ v4(X5)
| ~ '$ki_accessible'(X4,X5)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ v2(X3)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
tcf(c_0_73,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2('$ki_local_world')
| v1('$ki_local_world')
| v2(X2)
| v4(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_23]) ).
tcf(c_0_74,plain,
( v1('$ki_local_world')
| v2('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
tff(c_0_75,plain,
! [X149: '$ki_world',X150: '$ki_world',X151: '$ki_world',X152: '$ki_world'] :
( v4(X152)
| ~ '$ki_accessible'(X151,X152)
| ~ '$ki_accessible'('$ki_local_world',X151)
| v1(X150)
| ~ '$ki_accessible'(X149,X150)
| ~ '$ki_accessible'('$ki_local_world',X149)
| ~ v3('$ki_local_world')
| ~ v2('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
tcf(c_0_76,plain,
( ~ v3(esk1_0)
| v1('$ki_local_world')
| v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_55,c_0_47]) ).
tcf(c_0_77,plain,
( v1('$ki_local_world')
| v3('$ki_local_world')
| v3(esk1_0)
| v4(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_47]),c_0_23])]) ).
tcf(c_0_78,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| v1('$ki_local_world')
| v3(X1)
| v3('$ki_local_world')
| v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_23]) ).
tff(c_0_79,plain,
! [X120: '$ki_world',X121: '$ki_world',X122: '$ki_world'] :
( ~ v1(X122)
| ~ '$ki_accessible'(X121,X122)
| ~ '$ki_accessible'('$ki_local_world',X121)
| v3(X120)
| ~ '$ki_accessible'('$ki_local_world',X120)
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])]) ).
tcf(c_0_80,plain,
( ~ v2(esk1_0)
| v2('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_69,c_0_47]) ).
tcf(c_0_81,plain,
( v2(esk1_0)
| v3('$ki_local_world')
| v4(esk1_0)
| v4('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_47]),c_0_23])]) ).
tcf(c_0_82,plain,
( ~ v4(esk1_0)
| v2('$ki_local_world')
| v4('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_47]),c_0_23])]) ).
tcf(c_0_83,plain,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X5: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'(X5,X3)
| ~ '$ki_accessible'(X4,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ v2(X3)
| ~ v4(X2)
| ~ v4(X1)
| v1('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_72,c_0_65]) ).
tcf(c_0_84,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v1('$ki_local_world')
| v2(X2)
| v4(X1)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
tcf(c_0_85,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3('$ki_local_world')
| ~ v2('$ki_local_world')
| v4(X4)
| v1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
tcf(c_0_86,plain,
( v1('$ki_local_world')
| v2('$ki_local_world')
| v4(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_64]) ).
tcf(c_0_87,plain,
( v1('$ki_local_world')
| v3('$ki_local_world')
| v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_23]) ).
tcf(c_0_88,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ v1(X3)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2('$ki_local_world')
| ~ v1('$ki_local_world')
| v3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
tcf(c_0_89,plain,
( v2('$ki_local_world')
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
tcf(c_0_90,plain,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'(X4,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2(X3)
| ~ v4(X2)
| ~ v4(X1)
| v1('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_83,c_0_23]) ).
tcf(c_0_91,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| v1('$ki_local_world')
| v2(X1)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_84,c_0_23]) ).
tcf(c_0_92,plain,
! [X1: '$ki_world',X3: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X4,X2)
| ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| v1(X2)
| v1('$ki_local_world')
| v4(X1)
| v4(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
tcf(c_0_93,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v1(X2)
| v3(X1)
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_65]) ).
tcf(c_0_94,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2(esk1_0)
| ~ v4(X2)
| ~ v4(X1)
| v1('$ki_local_world')
| v4('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_47]),c_0_23])]) ).
tcf(c_0_95,plain,
( v1('$ki_local_world')
| v2(esk1_0)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_91,c_0_47]) ).
tcf(c_0_96,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| v1(X1)
| v1('$ki_local_world')
| v4(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_47]),c_0_23])]) ).
tcf(c_0_97,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v1(X2)
| v3(X1)
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_93,c_0_23]) ).
tcf(c_0_98,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4(X2)
| ~ v4(X1)
| v1('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
tcf(c_0_99,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| v1(X1)
| v1('$ki_local_world')
| v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_23]) ).
tcf(c_0_100,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| v3(X1)
| v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_23]),c_0_65]) ).
tff(c_0_101,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ~ v3('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat35]) ).
tcf(c_0_102,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4(X1)
| ~ v4(esk1_0)
| v1('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_98,c_0_47]) ).
tcf(c_0_103,plain,
( v1('$ki_local_world')
| v4(esk1_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_23]) ).
tcf(c_0_104,plain,
( v3('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_100,c_0_23]) ).
tff(c_0_105,plain,
! [X126: '$ki_world',X127: '$ki_world',X128: '$ki_world'] :
( v4(X128)
| ~ '$ki_accessible'(X127,X128)
| ~ '$ki_accessible'('$ki_local_world',X127)
| ~ v3(X126)
| ~ '$ki_accessible'('$ki_local_world',X126)
| ~ v3('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])])]) ).
tcf(c_0_106,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4(X1)
| v1('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
tcf(c_0_107,plain,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X5: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'(X5,X3)
| ~ '$ki_accessible'(X4,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ v2(X3)
| ~ v4(X2)
| ~ v4(X1)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_72,c_0_104]) ).
tcf(c_0_108,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3('$ki_local_world')
| ~ v1('$ki_local_world')
| v4(X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
tcf(c_0_109,plain,
( v1('$ki_local_world')
| v4('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_47]),c_0_103]) ).
tcf(c_0_110,plain,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'(X4,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2(X3)
| ~ v4(X2)
| ~ v4(X1)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_107,c_0_23]) ).
tcf(c_0_111,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v3(X2)
| v4(X1)
| v4('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_104]),c_0_109]) ).
tcf(c_0_112,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v2(X3)
| ~ v4(X2)
| ~ v4(X1)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_110,c_0_23]) ).
tcf(c_0_113,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| v4('$ki_local_world')
| v4(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_47]),c_0_23])]) ).
tcf(c_0_114,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v2(X2)
| ~ v4(X1)
| ~ v4(esk1_0)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_112,c_0_47]) ).
tcf(c_0_115,plain,
( v4(esk1_0)
| v4('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_23]),c_0_104]) ).
tff(c_0_116,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v3(X4) ) )
| ~ v4('$ki_local_world')
| v1('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat11]) ).
tff(c_0_117,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v2(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v3(X1) )
| ~ v4('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat48]) ).
tcf(c_0_118,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v2(X2)
| ~ v4(X1)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
tcf(c_0_119,plain,
( v2('$ki_local_world')
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_82,c_0_115]) ).
tff(c_0_120,plain,
! [X36: '$ki_world',X37: '$ki_world',X38: '$ki_world',X39: '$ki_world'] :
( ~ v4(X39)
| ~ '$ki_accessible'(X38,X39)
| ~ '$ki_accessible'('$ki_local_world',X38)
| ~ v3(X37)
| ~ '$ki_accessible'(X36,X37)
| ~ '$ki_accessible'('$ki_local_world',X36)
| ~ v4('$ki_local_world')
| v1('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])])]) ).
tff(c_0_121,plain,
! [X184: '$ki_world',X185: '$ki_world',X186: '$ki_world',X187: '$ki_world',X188: '$ki_world'] :
( ~ v4(X188)
| ~ '$ki_accessible'(X187,X188)
| ~ '$ki_accessible'('$ki_local_world',X187)
| v2(X186)
| ~ '$ki_accessible'(X185,X186)
| ~ '$ki_accessible'('$ki_local_world',X185)
| v3(X184)
| ~ '$ki_accessible'('$ki_local_world',X184)
| ~ v4('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_117])])])]) ).
tcf(c_0_122,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4(X1)
| v4('$ki_local_world') ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_23]),c_0_119]) ).
tcf(c_0_123,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ v4(X4)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v3(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4('$ki_local_world')
| v1('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
tcf(c_0_124,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( ~ v4(X5)
| ~ '$ki_accessible'(X4,X5)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4('$ki_local_world')
| v2(X3)
| v3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
tcf(c_0_125,plain,
v4('$ki_local_world'),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_47]),c_0_115]) ).
tcf(c_0_126,plain,
! [X1: '$ki_world',X3: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X4,X2)
| ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v3(X2)
| ~ v4(X1)
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_123,c_0_109]) ).
tcf(c_0_127,plain,
! [X1: '$ki_world',X3: '$ki_world',X5: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X5,X2)
| ~ '$ki_accessible'(X4,X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ v4(X3)
| v2(X2)
| v3(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]) ).
tcf(c_0_128,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v3(X1)
| v1('$ki_local_world') ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_47]),c_0_23])]),c_0_103]) ).
tcf(c_0_129,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v4(esk1_0)
| v2(X2)
| v3(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_47]),c_0_23])]) ).
tcf(c_0_130,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_128,c_0_23]) ).
tff(c_0_131,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v3(X4) ) )
| ~ v4('$ki_local_world')
| v3('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat26]) ).
tff(c_0_132,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v2(X4) ) )
| ~ v4('$ki_local_world')
| ~ v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat7]) ).
tcf(c_0_133,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| v1('$ki_local_world')
| v2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_103]),c_0_130]) ).
tff(c_0_134,plain,
! [X94: '$ki_world',X95: '$ki_world',X96: '$ki_world',X97: '$ki_world'] :
( ~ v4(X97)
| ~ '$ki_accessible'(X96,X97)
| ~ '$ki_accessible'('$ki_local_world',X96)
| v3(X95)
| ~ '$ki_accessible'(X94,X95)
| ~ '$ki_accessible'('$ki_local_world',X94)
| ~ v4('$ki_local_world')
| v3('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_131])])])]) ).
tff(c_0_135,plain,
! [X25: '$ki_world',X26: '$ki_world'] :
( ~ v2(X26)
| ~ '$ki_accessible'(X25,X26)
| ~ '$ki_accessible'('$ki_local_world',X25)
| ~ v4('$ki_local_world')
| ~ v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])])])]) ).
tcf(c_0_136,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| v1('$ki_local_world')
| v2(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_23]) ).
tcf(c_0_137,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ v4(X4)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4('$ki_local_world')
| v3(X2)
| v3('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
tcf(c_0_138,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ v2(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4('$ki_local_world')
| ~ v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
tcf(c_0_139,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| v1('$ki_local_world')
| v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_136,c_0_23]) ).
tcf(c_0_140,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X4,X1)
| ~ '$ki_accessible'(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v4(X2)
| v3(X1)
| v3('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_125])]) ).
tff(c_0_141,plain,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v3(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) )
| ~ v3('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(fof_simplification,[status(thm)],[persat36]) ).
tcf(c_0_142,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v2(X1)
| ~ v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_125])]) ).
tcf(c_0_143,plain,
( v1('$ki_local_world')
| v2('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_139,c_0_23]) ).
tcf(c_0_144,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| v1('$ki_local_world')
| v2(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_47]),c_0_23])]) ).
tcf(c_0_145,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v4(X2)
| v3(X1)
| v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_140,c_0_23]) ).
tff(c_0_146,plain,
! [X129: '$ki_world',X130: '$ki_world',X131: '$ki_world',X132: '$ki_world'] :
( ~ v3(X132)
| ~ '$ki_accessible'(X131,X132)
| ~ '$ki_accessible'('$ki_local_world',X131)
| ~ v1(X130)
| ~ '$ki_accessible'(X129,X130)
| ~ '$ki_accessible'('$ki_local_world',X129)
| ~ v3('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_141])])])]) ).
tcf(c_0_147,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v2(X1)
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
tcf(c_0_148,plain,
( v1('$ki_local_world')
| v2(esk1_0) ),
inference(spm,[status(thm)],[c_0_144,c_0_23]) ).
tcf(c_0_149,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ v4(X2)
| v3(X1)
| v3('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_145,c_0_23]) ).
tcf(c_0_150,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ v3(X4)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v1(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3('$ki_local_world')
| ~ v1('$ki_local_world') ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
tcf(c_0_151,plain,
v1('$ki_local_world'),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_47]),c_0_23])]),c_0_148]) ).
tcf(c_0_152,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| v3(X1)
| v3('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_23]),c_0_125])]) ).
tcf(c_0_153,plain,
! [X1: '$ki_world',X3: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X4,X2)
| ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v1(X2)
| ~ v3(X1)
| ~ v3('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151])]) ).
tcf(c_0_154,plain,
v3('$ki_local_world'),
inference(spm,[status(thm)],[c_0_152,c_0_23]) ).
tcf(c_0_155,plain,
! [X1: '$ki_world',X3: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X4,X2)
| ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ v1(X2)
| ~ v3(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]) ).
tcf(c_0_156,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v1(X2)
| ~ v3(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_23]) ).
tcf(c_0_157,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v1(X2)
| ~ v3(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_23]) ).
tcf(c_0_158,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_23]),c_0_154])]) ).
cnf(c_0_159,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_23]),c_0_151])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO903_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 12:31:03 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.47 % Version: 3.5.1
% 0.22/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.47 % Starting sh5l with 300s (1) cores
% 0.22/0.47 % new_bool_3 with pid 3451616 completed with status 9
% 0.22/0.47 % sh5l with pid 3451618 completed with status 9
% 0.22/0.47 % new_bool_1 with pid 3451617 completed with status 9
% 0.22/0.47 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3451615 completed with status 0
% 0.22/0.47 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.22/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.47 % No SInE strategy applied
% 0.22/0.47 % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.22/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.22/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.22/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.47 % new_bool_1 with pid 3451648 completed with status 0
% 0.22/0.47 % Result found by new_bool_1
% 0.22/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.47 % No SInE strategy applied
% 0.22/0.47 % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.22/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.22/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.22/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.47 % Preprocessing time : 0.002 s
% 0.22/0.47 % Presaturation interreduction done
% 0.22/0.47
% 0.22/0.47 % Proof found!
% 0.22/0.47 % SZS status ContradictoryAxioms
% 0.22/0.47 % SZS output start CNFRefutation
% See solution above
% 0.22/0.47 % Parsed axioms : 61
% 0.22/0.47 % Removed by relevancy pruning/SinE : 0
% 0.22/0.47 % Initial clauses : 62
% 0.22/0.47 % Removed in clause preprocessing : 9
% 0.22/0.47 % Initial clauses in saturation : 53
% 0.22/0.47 % Processed clauses : 442
% 0.22/0.47 % ...of these trivial : 0
% 0.22/0.47 % ...subsumed : 79
% 0.22/0.47 % ...remaining for further processing : 363
% 0.22/0.47 % Other redundant clauses eliminated : 0
% 0.22/0.47 % Clauses deleted for lack of memory : 0
% 0.22/0.47 % Backward-subsumed : 200
% 0.22/0.47 % Backward-rewritten : 77
% 0.22/0.47 % Generated clauses : 595
% 0.22/0.47 % ...of the previous two non-redundant : 539
% 0.22/0.47 % ...aggressively subsumed : 0
% 0.22/0.47 % Contextual simplify-reflections : 30
% 0.22/0.47 % Paramodulations : 595
% 0.22/0.47 % Factorizations : 0
% 0.22/0.47 % NegExts : 0
% 0.22/0.47 % Equation resolutions : 0
% 0.22/0.47 % Disequality decompositions : 0
% 0.22/0.47 % Total rewrite steps : 159
% 0.22/0.47 % ...of those cached : 153
% 0.22/0.47 % Propositional unsat checks : 0
% 0.22/0.47 % Propositional check models : 0
% 0.22/0.47 % Propositional check unsatisfiable : 0
% 0.22/0.47 % Propositional clauses : 0
% 0.22/0.47 % Propositional clauses after purity: 0
% 0.22/0.47 % Propositional unsat core size : 0
% 0.22/0.47 % Propositional preprocessing time : 0.000
% 0.22/0.47 % Propositional encoding time : 0.000
% 0.22/0.47 % Propositional solver time : 0.000
% 0.22/0.47 % Success case prop preproc time : 0.000
% 0.22/0.47 % Success case prop encoding time : 0.000
% 0.22/0.47 % Success case prop solver time : 0.000
% 0.22/0.47 % Current number of processed clauses : 34
% 0.22/0.47 % Positive orientable unit clauses : 6
% 0.22/0.47 % Positive unorientable unit clauses: 0
% 0.22/0.47 % Negative unit clauses : 0
% 0.22/0.47 % Non-unit-clauses : 28
% 0.22/0.47 % Current number of unprocessed clauses: 107
% 0.22/0.47 % ...number of literals in the above : 844
% 0.22/0.47 % Current number of archived formulas : 0
% 0.22/0.47 % Current number of archived clauses : 329
% 0.22/0.47 % Clause-clause subsumption calls (NU) : 2010
% 0.22/0.47 % Rec. Clause-clause subsumption calls : 1147
% 0.22/0.47 % Non-unit clause-clause subsumptions : 306
% 0.22/0.47 % Unit Clause-clause subsumption calls : 42
% 0.22/0.47 % Rewrite failures with RHS unbound : 0
% 0.22/0.47 % BW rewrite match attempts : 5
% 0.22/0.47 % BW rewrite match successes : 4
% 0.22/0.47 % Condensation attempts : 0
% 0.22/0.47 % Condensation successes : 0
% 0.22/0.47 % Termbank termtop insertions : 29383
% 0.22/0.47 % Search garbage collected termcells : 1865
% 0.22/0.47
% 0.22/0.47 % -------------------------------------------------
% 0.22/0.47 % User time : 0.036 s
% 0.22/0.47 % System time : 0.003 s
% 0.22/0.47 % Total time : 0.039 s
% 0.22/0.47 % Maximum resident set size: 3924 pages
% 0.22/0.47
% 0.22/0.47 % -------------------------------------------------
% 0.22/0.47 % User time : 0.187 s
% 0.22/0.47 % System time : 0.062 s
% 0.22/0.47 % Total time : 0.249 s
% 0.22/0.47 % Maximum resident set size: 4864 pages
% 0.22/0.47 % E exiting
%------------------------------------------------------------------------------