TSTP Solution File: SYO903_10 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 08:55:17 EDT 2024
% Result : ContradictoryAxioms 0.64s 0.58s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 31
% Syntax : Number of formulae : 194 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 1042 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 1447 ( 591 ~; 725 |; 3 &)
% ( 0 <=>; 128 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 5 >; 1 *; 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 : 440 ( 0 sgn 439 !; 1 ?; 440 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'$ki_world': $tType ).
tff(decl_22,type,
'$ki_local_world': '$ki_world' ).
tff(decl_23,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(decl_24,type,
v1: '$ki_world' > $o ).
tff(decl_25,type,
v2: '$ki_world' > $o ).
tff(decl_26,type,
v3: '$ki_world' > $o ).
tff(decl_27,type,
v4: '$ki_world' > $o ).
tff(decl_28,type,
esk1_0: '$ki_world' ).
tff(mrel_transitive,axiom,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ( '$ki_accessible'(X1,X2)
& '$ki_accessible'(X2,X3) )
=> '$ki_accessible'(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).
tff(deontic1,axiom,
? [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
& $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deontic1) ).
tff(persat5,axiom,
( v1('$ki_local_world')
| v3('$ki_local_world')
| ! [X1: '$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'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat5) ).
tff(mrel_reflexive,axiom,
! [X1: '$ki_world'] : '$ki_accessible'(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(persat2,axiom,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v3(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat2) ).
tff(persat7,axiom,
( v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v2(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat7) ).
tff(persat30,axiom,
( v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v2(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat30) ).
tff(persat46,axiom,
( ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v4(X1) )
| ! [X1: '$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'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat46) ).
tff(persat22,axiom,
( v3('$ki_local_world')
| v4('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v2(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat22) ).
tff(persat11,axiom,
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X1: '$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'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat11) ).
tff(persat3,axiom,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat3) ).
tff(persat26,axiom,
( v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X1: '$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'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat26) ).
tff(persat8,axiom,
( v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v3(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat8) ).
tff(persat4,axiom,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat4) ).
tff(persat40,axiom,
( ~ v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat40) ).
tff(persat9,axiom,
( v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v4(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat9) ).
tff(persat10,axiom,
( v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat10) ).
tff(persat37,axiom,
( ~ v1('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat37) ).
tff(persat18,axiom,
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat18) ).
tff(persat29,axiom,
( v4('$ki_local_world')
| ~ v1('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v3(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat29) ).
tff(persat34,axiom,
( ~ v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v4(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat34) ).
tff(persat35,axiom,
( ~ v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat35) ).
tff(persat38,axiom,
( ~ v1('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v4(X1) )
| ! [X1: '$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'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat38) ).
tff(c_0_23,plain,
! [X6: '$ki_world',X7: '$ki_world',X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X7)
| ~ '$ki_accessible'(X7,X8)
| '$ki_accessible'(X6,X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mrel_transitive])])]) ).
tff(c_0_24,plain,
( '$ki_accessible'('$ki_local_world',esk1_0)
& $true ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[deontic1])])])]) ).
tff(c_0_25,plain,
! [X18: '$ki_world',X19: '$ki_world',X20: '$ki_world',X21: '$ki_world'] :
( v1('$ki_local_world')
| v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X18)
| ~ '$ki_accessible'(X18,X19)
| v3(X19)
| ~ '$ki_accessible'('$ki_local_world',X20)
| ~ '$ki_accessible'(X20,X21)
| v4(X21) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[persat5])])])]) ).
tcf(c_0_26,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
tcf(c_0_27,plain,
'$ki_accessible'('$ki_local_world',esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
tff(c_0_28,plain,
! [X5: '$ki_world'] : '$ki_accessible'(X5,X5),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
tcf(c_0_29,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v1('$ki_local_world')
| v3('$ki_local_world')
| v3(X2)
| v4(X4)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
tcf(c_0_30,plain,
! [X1: '$ki_world'] :
( '$ki_accessible'(X1,esk1_0)
| ~ '$ki_accessible'(X1,'$ki_local_world') ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
tcf(c_0_31,plain,
! [X1: '$ki_world'] : '$ki_accessible'(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tff(c_0_32,plain,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v3(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat2]) ).
tcf(c_0_33,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v3('$ki_local_world')
| v3(X2)
| v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(esk1_0,X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
tff(c_0_34,plain,
! [X11: '$ki_world',X12: '$ki_world'] :
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X11)
| ~ '$ki_accessible'(X11,X12)
| ~ v3(X12) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
tcf(c_0_35,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v3('$ki_local_world')
| v3(X2)
| v1('$ki_local_world')
| ~ '$ki_accessible'(esk1_0,X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
tff(c_0_36,plain,
( v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v2(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat7]) ).
tcf(c_0_37,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ v3(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
tcf(c_0_38,plain,
! [X1: '$ki_world'] :
( v4(esk1_0)
| v3('$ki_local_world')
| v3(X1)
| v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_31]) ).
tff(c_0_39,plain,
( v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v2(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat30]) ).
tff(c_0_40,plain,
( ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v4(X1) )
| ! [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) ) ) ),
inference(fof_simplification,[status(thm)],[persat46]) ).
tff(c_0_41,plain,
! [X25: '$ki_world',X26: '$ki_world'] :
( v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X25)
| ~ '$ki_accessible'(X25,X26)
| ~ v2(X26) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
tcf(c_0_42,plain,
! [X1: '$ki_world'] :
( v2('$ki_local_world')
| v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
tcf(c_0_43,plain,
( v4(esk1_0)
| v3('$ki_local_world')
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_38,c_0_31]) ).
tff(c_0_44,plain,
! [X108: '$ki_world',X109: '$ki_world',X110: '$ki_world'] :
( v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X108)
| v1(X108)
| ~ '$ki_accessible'('$ki_local_world',X109)
| ~ '$ki_accessible'(X109,X110)
| v2(X110) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
tff(c_0_45,plain,
! [X174: '$ki_world',X175: '$ki_world',X176: '$ki_world',X177: '$ki_world',X178: '$ki_world'] :
( ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X174)
| ~ v4(X174)
| ~ '$ki_accessible'('$ki_local_world',X175)
| ~ '$ki_accessible'(X175,X176)
| ~ v2(X176)
| ~ '$ki_accessible'('$ki_local_world',X177)
| ~ '$ki_accessible'(X177,X178)
| ~ v4(X178) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
tcf(c_0_46,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ v2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
tcf(c_0_47,plain,
( v4(esk1_0)
| v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_31])]),c_0_43]) ).
tff(c_0_48,plain,
! [X79: '$ki_world',X80: '$ki_world',X81: '$ki_world'] :
( v3('$ki_local_world')
| v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X79)
| v2(X79)
| ~ '$ki_accessible'('$ki_local_world',X80)
| ~ '$ki_accessible'(X80,X81)
| v1(X81) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[persat22])])])]) ).
tcf(c_0_49,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v4('$ki_local_world')
| v1(X1)
| v2(X3)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
tff(c_0_50,plain,
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [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)
=> ~ v4(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat11]) ).
tcf(c_0_51,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v2(X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v4(X5) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
tcf(c_0_52,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v4(esk1_0)
| v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
tff(c_0_53,plain,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat3]) ).
tcf(c_0_54,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v3('$ki_local_world')
| v4('$ki_local_world')
| v2(X1)
| v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
tcf(c_0_55,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v4('$ki_local_world')
| v2(X1)
| v1(X2)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_31]) ).
tff(c_0_56,plain,
( v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X1: '$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'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat26]) ).
tff(c_0_57,plain,
! [X36: '$ki_world',X37: '$ki_world',X38: '$ki_world',X39: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X36)
| ~ '$ki_accessible'(X36,X37)
| ~ v3(X37)
| ~ '$ki_accessible'('$ki_local_world',X38)
| ~ '$ki_accessible'(X38,X39)
| ~ v4(X39) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
tcf(c_0_58,plain,
! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X3: '$ki_world'] :
( ~ v4(X1)
| ~ v4(X2)
| ~ v3('$ki_local_world')
| ~ v2(X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X4,X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_31]) ).
tcf(c_0_59,plain,
! [X1: '$ki_world'] :
( v4(esk1_0)
| v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_31]) ).
tff(c_0_60,plain,
! [X13: '$ki_world',X14: '$ki_world'] :
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X13)
| ~ '$ki_accessible'(X13,X14)
| ~ v4(X14) ),
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_61,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4('$ki_local_world')
| v2(X1)
| v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_31]),c_0_55]) ).
tff(c_0_62,plain,
! [X94: '$ki_world',X95: '$ki_world',X96: '$ki_world',X97: '$ki_world'] :
( v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X94)
| ~ '$ki_accessible'(X94,X95)
| v3(X95)
| ~ '$ki_accessible'('$ki_local_world',X96)
| ~ '$ki_accessible'(X96,X97)
| ~ v4(X97) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])]) ).
tcf(c_0_63,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4)
| ~ v4(X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
tcf(c_0_64,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ v4(X1)
| ~ v4(X2)
| ~ v3('$ki_local_world')
| ~ v2(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_31]) ).
tcf(c_0_65,plain,
( v4(esk1_0)
| v1('$ki_local_world')
| ~ v4('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_47]),c_0_31])]) ).
tcf(c_0_66,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ v4(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
tcf(c_0_67,plain,
! [X1: '$ki_world'] :
( v4('$ki_local_world')
| v2('$ki_local_world')
| v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_31]) ).
tcf(c_0_68,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v3('$ki_local_world')
| v3(X2)
| ~ v4('$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_62]) ).
tcf(c_0_69,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v4(X1)
| ~ v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(esk1_0,X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_30]),c_0_31])]) ).
tcf(c_0_70,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v4(X1)
| ~ v3('$ki_local_world')
| ~ v2(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_64,c_0_65]),c_0_27])]) ).
tcf(c_0_71,plain,
! [X1: '$ki_world'] :
( v2('$ki_local_world')
| v1('$ki_local_world')
| ~ v4(X1)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_30]),c_0_31])]) ).
tcf(c_0_72,plain,
( v4('$ki_local_world')
| v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_67,c_0_31]) ).
tff(c_0_73,plain,
( v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v3(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat8]) ).
tcf(c_0_74,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v3(X1)
| ~ v4('$ki_local_world')
| ~ v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_31]) ).
tcf(c_0_75,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v4(X1)
| ~ v3(X2)
| ~ '$ki_accessible'(esk1_0,X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_31]) ).
tcf(c_0_76,plain,
! [X1: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_27])]) ).
tcf(c_0_77,plain,
( v2('$ki_local_world')
| v1('$ki_local_world')
| ~ v3('$ki_local_world') ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_65]),c_0_31])]),c_0_72]) ).
tcf(c_0_78,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v3(X1)
| ~ v4('$ki_local_world')
| ~ v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(esk1_0,X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_30]),c_0_31])]) ).
tcf(c_0_79,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v4(X1)
| ~ v3(X2)
| ~ '$ki_accessible'(esk1_0,X1)
| ~ '$ki_accessible'(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_30]),c_0_31])]) ).
tff(c_0_80,plain,
! [X27: '$ki_world',X28: '$ki_world',X29: '$ki_world'] :
( v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X27)
| ~ v3(X27)
| ~ '$ki_accessible'('$ki_local_world',X28)
| ~ '$ki_accessible'(X28,X29)
| v3(X29) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])]) ).
tcf(c_0_81,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v3(X1)
| ~ v4('$ki_local_world')
| ~ v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_31]) ).
tcf(c_0_82,plain,
! [X1: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_65]),c_0_31])]) ).
tcf(c_0_83,plain,
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_31])]) ).
tcf(c_0_84,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v3('$ki_local_world')
| v3(X2)
| v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_31]) ).
tcf(c_0_85,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v3(X1)
| ~ v4('$ki_local_world')
| ~ v4(X2)
| ~ '$ki_accessible'(esk1_0,X2)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_30]),c_0_31])]) ).
tcf(c_0_86,plain,
! [X1: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v3(X1)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_65]),c_0_31])]) ).
tcf(c_0_87,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v1('$ki_local_world')
| v3(X3)
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
tcf(c_0_88,plain,
! [X1: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_65]),c_0_27])]),c_0_82]),c_0_83]) ).
tcf(c_0_89,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v3('$ki_local_world')
| v3(X2)
| v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_30]),c_0_31])]) ).
tcf(c_0_90,plain,
! [X1: '$ki_world'] :
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_65]),c_0_31])]),c_0_86]),c_0_83]) ).
tff(c_0_91,plain,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat4]) ).
tcf(c_0_92,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v3(X1)
| v1('$ki_local_world')
| ~ v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_72]),c_0_88]) ).
tcf(c_0_93,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| v3(X1)
| v1('$ki_local_world')
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_31]),c_0_90]) ).
tff(c_0_94,plain,
! [X15: '$ki_world',X16: '$ki_world',X17: '$ki_world'] :
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X15)
| ~ v3(X15)
| ~ '$ki_accessible'('$ki_local_world',X16)
| ~ '$ki_accessible'(X16,X17)
| v1(X17) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])])]) ).
tcf(c_0_95,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3(X1)
| v1('$ki_local_world')
| ~ v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_31]) ).
tcf(c_0_96,plain,
( v3(esk1_0)
| v3('$ki_local_world')
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_93,c_0_31]) ).
tcf(c_0_97,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v1('$ki_local_world')
| v2('$ki_local_world')
| v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
tcf(c_0_98,plain,
! [X1: '$ki_world'] :
( v3('$ki_local_world')
| v3(X1)
| v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_27])]) ).
tff(c_0_99,plain,
( ~ v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [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)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat40]) ).
tcf(c_0_100,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v2('$ki_local_world')
| v1('$ki_local_world')
| v1(X1)
| ~ v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_31]) ).
tcf(c_0_101,plain,
( v3('$ki_local_world')
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_98,c_0_31]) ).
tff(c_0_102,plain,
! [X149: '$ki_world',X150: '$ki_world',X151: '$ki_world',X152: '$ki_world'] :
( ~ v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X149)
| ~ '$ki_accessible'(X149,X150)
| v1(X150)
| ~ '$ki_accessible'('$ki_local_world',X151)
| ~ '$ki_accessible'(X151,X152)
| v4(X152) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])])]) ).
tcf(c_0_103,plain,
! [X1: '$ki_world'] :
( v2('$ki_local_world')
| v1('$ki_local_world')
| v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_31])]) ).
tcf(c_0_104,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( v1(X2)
| v4(X4)
| ~ v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
tcf(c_0_105,plain,
( v2('$ki_local_world')
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_103,c_0_31]) ).
tff(c_0_106,plain,
( v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> v4(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v4(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat9]) ).
tcf(c_0_107,plain,
! [X1: '$ki_world',X3: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1('$ki_local_world')
| v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X3,X1)
| ~ '$ki_accessible'(X4,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_101]) ).
tff(c_0_108,plain,
! [X30: '$ki_world',X31: '$ki_world',X32: '$ki_world'] :
( v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X30)
| v4(X30)
| ~ '$ki_accessible'('$ki_local_world',X31)
| ~ '$ki_accessible'(X31,X32)
| ~ v4(X32) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])])]) ).
tcf(c_0_109,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1('$ki_local_world')
| v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(esk1_0,X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_30]),c_0_31])]) ).
tff(c_0_110,plain,
( v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat10]) ).
tcf(c_0_111,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v1('$ki_local_world')
| v4(X1)
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v4(X3) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
tcf(c_0_112,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1('$ki_local_world')
| v1(X2)
| ~ '$ki_accessible'(esk1_0,X1)
| ~ '$ki_accessible'(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_30]),c_0_31])]) ).
tff(c_0_113,plain,
! [X33: '$ki_world',X34: '$ki_world',X35: '$ki_world'] :
( v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X33)
| ~ v1(X33)
| ~ '$ki_accessible'('$ki_local_world',X34)
| ~ '$ki_accessible'(X34,X35)
| ~ v1(X35) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_110])])])]) ).
tcf(c_0_114,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1('$ki_local_world')
| ~ v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_101]) ).
tcf(c_0_115,plain,
! [X1: '$ki_world'] :
( v4(esk1_0)
| v1('$ki_local_world')
| v1(X1)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_31]) ).
tff(c_0_116,plain,
( ~ v1('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v1(X4) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat37]) ).
tcf(c_0_117,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
tcf(c_0_118,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1('$ki_local_world')
| ~ v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_31]) ).
tcf(c_0_119,plain,
( v4(esk1_0)
| v1(esk1_0)
| v1('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_115,c_0_31]) ).
tff(c_0_120,plain,
! [X133: '$ki_world',X134: '$ki_world',X135: '$ki_world',X136: '$ki_world',X137: '$ki_world'] :
( ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X133)
| ~ v1(X133)
| ~ '$ki_accessible'('$ki_local_world',X134)
| ~ '$ki_accessible'(X134,X135)
| v1(X135)
| ~ '$ki_accessible'('$ki_local_world',X136)
| ~ '$ki_accessible'(X136,X137)
| v4(X137) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])])]) ).
tcf(c_0_121,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v1('$ki_local_world')
| ~ v1(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X3,X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_101]) ).
tcf(c_0_122,plain,
( v1('$ki_local_world')
| ~ v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_83,c_0_101]) ).
tcf(c_0_123,plain,
! [X1: '$ki_world'] :
( v4(X1)
| v1(esk1_0)
| v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_27])]) ).
tcf(c_0_124,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v1(X3)
| v4(X5)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$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_120]) ).
tcf(c_0_125,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v1('$ki_local_world')
| ~ v1(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_30]),c_0_31])]) ).
tcf(c_0_126,plain,
( v1(esk1_0)
| v1('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_31])]) ).
tcf(c_0_127,plain,
! [X1: '$ki_world',X3: '$ki_world',X4: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1(X2)
| ~ v1('$ki_local_world')
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X4,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_31]) ).
tcf(c_0_128,plain,
! [X1: '$ki_world'] :
( v1('$ki_local_world')
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_31])]) ).
tff(c_0_129,plain,
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat18]) ).
tff(c_0_130,plain,
( v4('$ki_local_world')
| ~ v1('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v1(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v3(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat29]) ).
tcf(c_0_131,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1(X2)
| ~ v1('$ki_local_world')
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_31]) ).
tcf(c_0_132,plain,
v1('$ki_local_world'),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_126]),c_0_27])]) ).
tff(c_0_133,plain,
! [X60: '$ki_world',X61: '$ki_world',X62: '$ki_world'] :
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X60)
| ~ v1(X60)
| ~ '$ki_accessible'('$ki_local_world',X61)
| ~ '$ki_accessible'(X61,X62)
| ~ v1(X62) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_129])])])]) ).
tff(c_0_134,plain,
! [X105: '$ki_world',X106: '$ki_world',X107: '$ki_world'] :
( v4('$ki_local_world')
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X105)
| ~ v1(X105)
| ~ '$ki_accessible'('$ki_local_world',X106)
| ~ '$ki_accessible'(X106,X107)
| v3(X107) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])])]) ).
tcf(c_0_135,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132])]) ).
tff(c_0_136,plain,
( ~ v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v4(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> ~ v1(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat34]) ).
tcf(c_0_137,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
tff(c_0_138,plain,
( ~ v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v3(X1) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X1,X4)
=> v4(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat35]) ).
tcf(c_0_139,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v4('$ki_local_world')
| v3(X3)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
tcf(c_0_140,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_132]),c_0_31])]) ).
tff(c_0_141,plain,
! [X123: '$ki_world',X124: '$ki_world',X125: '$ki_world'] :
( ~ v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X123)
| ~ v4(X123)
| ~ '$ki_accessible'('$ki_local_world',X124)
| ~ '$ki_accessible'(X124,X125)
| ~ v1(X125) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_136])])])]) ).
tcf(c_0_142,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v1(X1)
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_31]) ).
tff(c_0_143,plain,
! [X126: '$ki_world',X127: '$ki_world',X128: '$ki_world'] :
( ~ v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X126)
| ~ v3(X126)
| ~ '$ki_accessible'('$ki_local_world',X127)
| ~ '$ki_accessible'(X127,X128)
| v4(X128) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_138])])])]) ).
tcf(c_0_144,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v4('$ki_local_world')
| v3(X1)
| ~ v1('$ki_local_world')
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_31]) ).
tcf(c_0_145,plain,
! [X1: '$ki_world'] :
( v4('$ki_local_world')
| v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_31]) ).
tcf(c_0_146,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ v1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
tcf(c_0_147,plain,
! [X1: '$ki_world'] :
( v2('$ki_local_world')
| ~ v3('$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_142,c_0_132]),c_0_31])]) ).
tcf(c_0_148,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1(X2)
| ~ v1('$ki_local_world')
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_30]),c_0_31])]) ).
tcf(c_0_149,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( v4(X3)
| ~ v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
tcf(c_0_150,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v4('$ki_local_world')
| v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_132])]),c_0_145]) ).
tff(c_0_151,plain,
( ~ v1('$ki_local_world')
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ~ v4(X1) )
| ! [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)
=> ~ v4(X4) ) ) ),
inference(fof_simplification,[status(thm)],[persat38]) ).
tcf(c_0_152,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ v4(X1)
| ~ v2('$ki_local_world')
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_132])]) ).
tcf(c_0_153,plain,
( v2('$ki_local_world')
| ~ v3('$ki_local_world') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_132]),c_0_31])]) ).
tcf(c_0_154,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1(X2)
| ~ v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_132])]) ).
tcf(c_0_155,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ 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)],[c_0_149,c_0_132])]) ).
tcf(c_0_156,plain,
! [X1: '$ki_world'] :
( v4('$ki_local_world')
| v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_30]),c_0_31])]) ).
tff(c_0_157,plain,
! [X138: '$ki_world',X139: '$ki_world',X140: '$ki_world',X141: '$ki_world',X142: '$ki_world'] :
( ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X138)
| ~ v4(X138)
| ~ '$ki_accessible'('$ki_local_world',X139)
| ~ '$ki_accessible'(X139,X140)
| v4(X140)
| ~ '$ki_accessible'('$ki_local_world',X141)
| ~ '$ki_accessible'(X141,X142)
| ~ v4(X142) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_151])])])]) ).
tcf(c_0_158,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( ~ v4(X1)
| ~ v3('$ki_local_world')
| ~ v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X3,X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
tcf(c_0_159,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4(X1)
| v1(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_132]),c_0_31])]) ).
tcf(c_0_160,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v4('$ki_local_world')
| v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_31])]),c_0_156]) ).
tcf(c_0_161,plain,
! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( v4(X3)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5)
| ~ v4(X5) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
tcf(c_0_162,plain,
! [X1: '$ki_world',X3: '$ki_world',X2: '$ki_world'] :
( v4('$ki_local_world')
| ~ v4(X1)
| ~ v1(X2)
| ~ '$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_158,c_0_156]),c_0_31])]) ).
tcf(c_0_163,plain,
! [X1: '$ki_world'] :
( v4('$ki_local_world')
| v1(X1)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_31]) ).
tcf(c_0_164,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v4('$ki_local_world')
| v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_30]),c_0_31])]) ).
tcf(c_0_165,plain,
! [X2: '$ki_world',X4: '$ki_world',X3: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ v4(X2)
| ~ v4(X3)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X4,X1) ),
inference(spm,[status(thm)],[c_0_161,c_0_31]) ).
tcf(c_0_166,plain,
! [X1: '$ki_world',X2: '$ki_world'] :
( v4('$ki_local_world')
| ~ v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(esk1_0,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_30]),c_0_31])]),c_0_163]) ).
tcf(c_0_167,plain,
! [X1: '$ki_world'] :
( v4('$ki_local_world')
| v4(X1)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_30]),c_0_31])]) ).
tcf(c_0_168,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ v4(X2)
| ~ v4(X3)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_31]) ).
tcf(c_0_169,plain,
! [X1: '$ki_world'] :
( v4('$ki_local_world')
| ~ v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_31]) ).
tcf(c_0_170,plain,
( v4(esk1_0)
| v4('$ki_local_world') ),
inference(spm,[status(thm)],[c_0_167,c_0_31]) ).
tcf(c_0_171,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ v4(X2)
| ~ v4(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_132])]) ).
tcf(c_0_172,plain,
v4('$ki_local_world'),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_27])]) ).
tcf(c_0_173,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_31])]) ).
tcf(c_0_174,plain,
! [X1: '$ki_world'] :
( v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_172]),c_0_31])]) ).
tcf(c_0_175,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ v4(X2)
| ~ v4(X3)
| ~ v1('$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_30]),c_0_31])]) ).
tcf(c_0_176,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ v3('$ki_local_world')
| ~ v2(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_172]),c_0_31])]),c_0_174]) ).
tcf(c_0_177,plain,
! [X3: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ v4(X2)
| ~ v4(X3)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_132])]) ).
tcf(c_0_178,plain,
! [X1: '$ki_world'] :
( ~ v3('$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_176,c_0_30]),c_0_31])]) ).
tcf(c_0_179,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v4(X1)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_172]),c_0_31])]),c_0_174]) ).
tcf(c_0_180,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v3(X1)
| ~ v4('$ki_local_world')
| ~ v4(X2)
| ~ '$ki_accessible'(esk1_0,X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_31]) ).
tcf(c_0_181,plain,
~ v3('$ki_local_world'),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_153]),c_0_31])]) ).
tcf(c_0_182,plain,
! [X1: '$ki_world'] :
( v4(X1)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_30]),c_0_31])]) ).
tcf(c_0_183,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( v3(X1)
| ~ '$ki_accessible'(esk1_0,X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_172])]),c_0_181]),c_0_182]) ).
tcf(c_0_184,plain,
! [X1: '$ki_world'] :
( v3(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_31]) ).
cnf(c_0_185,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_184]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:45:37 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.64/0.58 # Version: 3.1.0
% 0.64/0.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.64/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.64/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.64/0.58 # Starting new_bool_1 with 300s (1) cores
% 0.64/0.58 # Starting sh5l with 300s (1) cores
% 0.64/0.58 # new_bool_3 with pid 21007 completed with status 8
% 0.64/0.58 # sh5l with pid 21009 completed with status 8
% 0.64/0.58 # new_bool_1 with pid 21008 completed with status 8
% 0.64/0.58 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21006 completed with status 0
% 0.64/0.58 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.64/0.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.64/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.64/0.58 # No SInE strategy applied
% 0.64/0.58 # Search class: FGHNF-FFMF00-SFFFFFNN
% 0.64/0.58 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.64/0.58 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.64/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.64/0.58 # Starting new_bool_3 with 136s (1) cores
% 0.64/0.58 # Starting new_bool_1 with 136s (1) cores
% 0.64/0.58 # Starting sh5l with 136s (1) cores
% 0.64/0.58 # SAT001_MinMin_p005000_rr_RG with pid 21038 completed with status 0
% 0.64/0.58 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.64/0.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.64/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.64/0.58 # No SInE strategy applied
% 0.64/0.58 # Search class: FGHNF-FFMF00-SFFFFFNN
% 0.64/0.58 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.64/0.58 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.64/0.58 # Preprocessing time : 0.002 s
% 0.64/0.58 # Presaturation interreduction done
% 0.64/0.58
% 0.64/0.58 # Proof found!
% 0.64/0.58 # SZS status ContradictoryAxioms
% 0.64/0.58 # SZS output start CNFRefutation
% See solution above
% 0.64/0.58 # Parsed axioms : 61
% 0.64/0.58 # Removed by relevancy pruning/SinE : 0
% 0.64/0.58 # Initial clauses : 62
% 0.64/0.58 # Removed in clause preprocessing : 9
% 0.64/0.58 # Initial clauses in saturation : 53
% 0.64/0.58 # Processed clauses : 630
% 0.64/0.58 # ...of these trivial : 3
% 0.64/0.58 # ...subsumed : 229
% 0.64/0.58 # ...remaining for further processing : 398
% 0.64/0.58 # Other redundant clauses eliminated : 0
% 0.64/0.58 # Clauses deleted for lack of memory : 0
% 0.64/0.58 # Backward-subsumed : 200
% 0.64/0.58 # Backward-rewritten : 112
% 0.64/0.58 # Generated clauses : 1094
% 0.64/0.58 # ...of the previous two non-redundant : 949
% 0.64/0.58 # ...aggressively subsumed : 0
% 0.64/0.58 # Contextual simplify-reflections : 37
% 0.64/0.58 # Paramodulations : 1094
% 0.64/0.58 # Factorizations : 0
% 0.64/0.58 # NegExts : 0
% 0.64/0.58 # Equation resolutions : 0
% 0.64/0.58 # Disequality decompositions : 0
% 0.64/0.58 # Total rewrite steps : 588
% 0.64/0.58 # ...of those cached : 582
% 0.64/0.58 # Propositional unsat checks : 0
% 0.64/0.58 # Propositional check models : 0
% 0.64/0.58 # Propositional check unsatisfiable : 0
% 0.64/0.58 # Propositional clauses : 0
% 0.64/0.58 # Propositional clauses after purity: 0
% 0.64/0.58 # Propositional unsat core size : 0
% 0.64/0.58 # Propositional preprocessing time : 0.000
% 0.64/0.58 # Propositional encoding time : 0.000
% 0.64/0.58 # Propositional solver time : 0.000
% 0.64/0.58 # Success case prop preproc time : 0.000
% 0.64/0.58 # Success case prop encoding time : 0.000
% 0.64/0.58 # Success case prop solver time : 0.000
% 0.64/0.58 # Current number of processed clauses : 34
% 0.64/0.58 # Positive orientable unit clauses : 5
% 0.64/0.58 # Positive unorientable unit clauses: 0
% 0.64/0.58 # Negative unit clauses : 1
% 0.64/0.58 # Non-unit-clauses : 28
% 0.64/0.58 # Current number of unprocessed clauses: 267
% 0.64/0.58 # ...number of literals in the above : 2048
% 0.64/0.58 # Current number of archived formulas : 0
% 0.64/0.58 # Current number of archived clauses : 364
% 0.64/0.58 # Clause-clause subsumption calls (NU) : 3270
% 0.64/0.58 # Rec. Clause-clause subsumption calls : 1762
% 0.64/0.58 # Non-unit clause-clause subsumptions : 449
% 0.64/0.58 # Unit Clause-clause subsumption calls : 47
% 0.64/0.58 # Rewrite failures with RHS unbound : 0
% 0.64/0.58 # BW rewrite match attempts : 4
% 0.64/0.58 # BW rewrite match successes : 3
% 0.64/0.58 # Condensation attempts : 0
% 0.64/0.58 # Condensation successes : 0
% 0.64/0.58 # Termbank termtop insertions : 38379
% 0.64/0.58 # Search garbage collected termcells : 1866
% 0.64/0.58
% 0.64/0.58 # -------------------------------------------------
% 0.64/0.58 # User time : 0.074 s
% 0.64/0.58 # System time : 0.006 s
% 0.64/0.58 # Total time : 0.080 s
% 0.64/0.58 # Maximum resident set size: 2116 pages
% 0.64/0.58
% 0.64/0.58 # -------------------------------------------------
% 0.64/0.58 # User time : 0.378 s
% 0.64/0.58 # System time : 0.034 s
% 0.64/0.58 # Total time : 0.412 s
% 0.64/0.58 # Maximum resident set size: 1772 pages
% 0.64/0.58 % E---3.1 exiting
%------------------------------------------------------------------------------