TSTP Solution File: SYO903_10 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n021.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 Aug 22 11:18:37 EDT 2023
% Result : Theorem 5.55s 2.42s
% Output : CNFRefutation 6.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 27
% Syntax : Number of formulae : 378 ( 151 unt; 6 typ; 0 def)
% Number of atoms : 1555 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 1301 ( 635 ~; 608 |; 1 &)
% ( 0 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 517 ( 517 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 433 (; 432 !; 1 ?; 433 :)
% Comments :
%------------------------------------------------------------------------------
%$ v4 > v3 > v2 > v1 > #nlpp > #skF_1
%Foreground sorts:
tff($ki_world,type,
$ki_world: $tType ).
%Background operators:
%Foreground operators:
tff(v2,type,
v2: $ki_world > $o ).
tff(v4,type,
v4: $ki_world > $o ).
tff(v3,type,
v3: $ki_world > $o ).
tff('#skF_1',type,
'#skF_1': $ki_world ).
tff(v1,type,
v1: $ki_world > $o ).
tff(f_33,axiom,
! [W: $ki_world] : $ki_accessible(W,W),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f_1057,axiom,
? [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
& $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deontic1) ).
tff(f_288,axiom,
( v2($ki_local_world)
| v3($ki_local_world)
| v4($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v4(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat14) ).
tff(f_53,axiom,
( v1($ki_local_world)
| v2($ki_local_world)
| v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v1(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat1) ).
tff(f_68,axiom,
( v1($ki_local_world)
| v2($ki_local_world)
| ~ v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v3(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat2) ).
tff(f_171,axiom,
( v1($ki_local_world)
| ~ v2($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ~ v3(W) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v3(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat8) ).
tff(f_449,axiom,
( v3($ki_local_world)
| v4($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> v2(W) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v1(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat22) ).
tff(f_119,axiom,
( v1($ki_local_world)
| v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v3(W0) ) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v4(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat5) ).
tff(f_622,axiom,
( v4($ki_local_world)
| ~ v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v1(W0) ) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v4(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat31) ).
tff(f_585,axiom,
( v4($ki_local_world)
| ~ v1($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ~ v1(W) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v3(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat29) ).
tff(f_208,axiom,
( v1($ki_local_world)
| ~ v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ~ v1(W) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v1(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat10) ).
tff(f_824,axiom,
( ~ v2($ki_local_world)
| ~ v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v1(W0) ) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v4(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat40) ).
tff(f_704,axiom,
( ~ v1($ki_local_world)
| ~ v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ~ v3(W) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v4(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat35) ).
tff(f_153,axiom,
( v1($ki_local_world)
| ~ v2($ki_local_world)
| ~ v4($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v2(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat7) ).
tff(f_83,axiom,
( v1($ki_local_world)
| v2($ki_local_world)
| ~ v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v4(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat3) ).
tff(f_100,axiom,
( v1($ki_local_world)
| v2($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ~ v3(W) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v1(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat4) ).
tff(f_529,axiom,
( v3($ki_local_world)
| ~ v4($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v3(W0) ) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v4(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat26) ).
tff(f_341,axiom,
( v2($ki_local_world)
| ~ v1($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> v4(W0) ) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v3(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat17) ).
tff(f_360,axiom,
( v2($ki_local_world)
| ~ v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ~ v1(W) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v1(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat18) ).
tff(f_685,axiom,
( ~ v1($ki_local_world)
| ~ v2($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ~ v4(W) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v1(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat34) ).
tff(f_189,axiom,
( v1($ki_local_world)
| ~ v3($ki_local_world)
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> v4(W) )
| ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> ~ v4(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat9) ).
tff(c_2,plain,
! [W_1: $ki_world] : $ki_accessible(W_1,W_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_106,plain,
$ki_accessible($ki_local_world,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_1057]) ).
tff(c_32,plain,
! [W0_63: $ki_world,W_61: $ki_world] :
( ~ v4(W0_63)
| ~ $ki_accessible(W_61,W0_63)
| ~ $ki_accessible($ki_local_world,W_61)
| v4($ki_local_world)
| v3($ki_local_world)
| v2($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_125,plain,
! [W0_276: $ki_world,W_277: $ki_world] :
( ~ v4(W0_276)
| ~ $ki_accessible(W_277,W0_276)
| ~ $ki_accessible($ki_local_world,W_277) ),
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_129,plain,
( ~ v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_125]) ).
tff(c_133,plain,
~ v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129]) ).
tff(c_6,plain,
! [W0_7: $ki_world,W_5: $ki_world] :
( ~ v1(W0_7)
| ~ $ki_accessible(W_5,W0_7)
| ~ $ki_accessible($ki_local_world,W_5)
| v3($ki_local_world)
| v2($ki_local_world)
| v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_145,plain,
! [W0_279: $ki_world,W_280: $ki_world] :
( ~ v1(W0_279)
| ~ $ki_accessible(W_280,W0_279)
| ~ $ki_accessible($ki_local_world,W_280) ),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_149,plain,
( ~ v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_145]) ).
tff(c_153,plain,
~ v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_149]) ).
tff(c_134,plain,
! [W_278: $ki_world] :
( ~ v4(W_278)
| ~ $ki_accessible($ki_local_world,W_278) ),
inference(resolution,[status(thm)],[c_2,c_125]) ).
tff(c_142,plain,
~ v4($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_134]) ).
tff(c_154,plain,
! [W_281: $ki_world] :
( ~ v1(W_281)
| ~ $ki_accessible($ki_local_world,W_281) ),
inference(resolution,[status(thm)],[c_2,c_145]) ).
tff(c_162,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_154]) ).
tff(c_8,plain,
! [W0_10: $ki_world,W_8: $ki_world] :
( ~ v3(W0_10)
| ~ $ki_accessible(W_8,W0_10)
| ~ $ki_accessible($ki_local_world,W_8)
| ~ v3($ki_local_world)
| v2($ki_local_world)
| v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_164,plain,
! [W0_10: $ki_world,W_8: $ki_world] :
( ~ v3(W0_10)
| ~ $ki_accessible(W_8,W0_10)
| ~ $ki_accessible($ki_local_world,W_8)
| ~ v3($ki_local_world)
| v2($ki_local_world) ),
inference(negUnitSimplification,[status(thm)],[c_162,c_8]) ).
tff(c_165,plain,
~ v3($ki_local_world),
inference(splitLeft,[status(thm)],[c_164]) ).
tff(c_20,plain,
! [W0_34: $ki_world,W_32: $ki_world,W_31: $ki_world] :
( v3(W0_34)
| ~ $ki_accessible(W_32,W0_34)
| ~ $ki_accessible($ki_local_world,W_32)
| ~ v3(W_31)
| ~ $ki_accessible($ki_local_world,W_31)
| ~ v2($ki_local_world)
| v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_170,plain,
! [W0_34: $ki_world,W_32: $ki_world,W_31: $ki_world] :
( v3(W0_34)
| ~ $ki_accessible(W_32,W0_34)
| ~ $ki_accessible($ki_local_world,W_32)
| ~ v3(W_31)
| ~ $ki_accessible($ki_local_world,W_31)
| ~ v2($ki_local_world) ),
inference(negUnitSimplification,[status(thm)],[c_162,c_20]) ).
tff(c_171,plain,
~ v2($ki_local_world),
inference(splitLeft,[status(thm)],[c_170]) ).
tff(c_48,plain,
! [W0_107: $ki_world,W_105: $ki_world,W_104: $ki_world] :
( v1(W0_107)
| ~ $ki_accessible(W_105,W0_107)
| ~ $ki_accessible($ki_local_world,W_105)
| v2(W_104)
| ~ $ki_accessible($ki_local_world,W_104)
| v4($ki_local_world)
| v3($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_449]) ).
tff(c_200,plain,
! [W0_107: $ki_world,W_105: $ki_world,W_104: $ki_world] :
( v1(W0_107)
| ~ $ki_accessible(W_105,W0_107)
| ~ $ki_accessible($ki_local_world,W_105)
| v2(W_104)
| ~ $ki_accessible($ki_local_world,W_104) ),
inference(negUnitSimplification,[status(thm)],[c_165,c_142,c_48]) ).
tff(c_202,plain,
! [W_284: $ki_world] :
( v2(W_284)
| ~ $ki_accessible($ki_local_world,W_284) ),
inference(splitLeft,[status(thm)],[c_200]) ).
tff(c_206,plain,
v2($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_202]) ).
tff(c_213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_171,c_206]) ).
tff(c_216,plain,
! [W0_285: $ki_world,W_286: $ki_world] :
( v1(W0_285)
| ~ $ki_accessible(W_286,W0_285)
| ~ $ki_accessible($ki_local_world,W_286) ),
inference(splitRight,[status(thm)],[c_200]) ).
tff(c_220,plain,
( v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_216]) ).
tff(c_224,plain,
v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_220]) ).
tff(c_226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153,c_224]) ).
tff(c_227,plain,
! [W_31: $ki_world,W0_34: $ki_world,W_32: $ki_world] :
( ~ v3(W_31)
| ~ $ki_accessible($ki_local_world,W_31)
| v3(W0_34)
| ~ $ki_accessible(W_32,W0_34)
| ~ $ki_accessible($ki_local_world,W_32) ),
inference(splitRight,[status(thm)],[c_170]) ).
tff(c_230,plain,
! [W_287: $ki_world] :
( ~ v3(W_287)
| ~ $ki_accessible($ki_local_world,W_287) ),
inference(splitLeft,[status(thm)],[c_227]) ).
tff(c_239,plain,
~ v3('#skF_1'),
inference(resolution,[status(thm)],[c_106,c_230]) ).
tff(c_14,plain,
! [W0_23: $ki_world,W_21: $ki_world,W0_20: $ki_world,W_18: $ki_world] :
( v4(W0_23)
| ~ $ki_accessible(W_21,W0_23)
| ~ $ki_accessible($ki_local_world,W_21)
| v3(W0_20)
| ~ $ki_accessible(W_18,W0_20)
| ~ $ki_accessible($ki_local_world,W_18)
| v3($ki_local_world)
| v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_270,plain,
! [W0_23: $ki_world,W_21: $ki_world,W0_20: $ki_world,W_18: $ki_world] :
( v4(W0_23)
| ~ $ki_accessible(W_21,W0_23)
| ~ $ki_accessible($ki_local_world,W_21)
| v3(W0_20)
| ~ $ki_accessible(W_18,W0_20)
| ~ $ki_accessible($ki_local_world,W_18) ),
inference(negUnitSimplification,[status(thm)],[c_162,c_165,c_14]) ).
tff(c_272,plain,
! [W0_289: $ki_world,W_290: $ki_world] :
( v3(W0_289)
| ~ $ki_accessible(W_290,W0_289)
| ~ $ki_accessible($ki_local_world,W_290) ),
inference(splitLeft,[status(thm)],[c_270]) ).
tff(c_276,plain,
( v3('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_272]) ).
tff(c_280,plain,
v3('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_239,c_280]) ).
tff(c_284,plain,
! [W0_291: $ki_world,W_292: $ki_world] :
( v4(W0_291)
| ~ $ki_accessible(W_292,W0_291)
| ~ $ki_accessible($ki_local_world,W_292) ),
inference(splitRight,[status(thm)],[c_270]) ).
tff(c_288,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_284]) ).
tff(c_292,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_288]) ).
tff(c_294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133,c_292]) ).
tff(c_296,plain,
! [W0_293: $ki_world,W_294: $ki_world] :
( v3(W0_293)
| ~ $ki_accessible(W_294,W0_293)
| ~ $ki_accessible($ki_local_world,W_294) ),
inference(splitRight,[status(thm)],[c_227]) ).
tff(c_305,plain,
! [W_295: $ki_world] :
( v3(W_295)
| ~ $ki_accessible($ki_local_world,W_295) ),
inference(resolution,[status(thm)],[c_2,c_296]) ).
tff(c_309,plain,
v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_305]) ).
tff(c_316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165,c_309]) ).
tff(c_318,plain,
v3($ki_local_world),
inference(splitRight,[status(thm)],[c_164]) ).
tff(c_66,plain,
! [W0_154: $ki_world,W_152: $ki_world,W0_151: $ki_world,W_149: $ki_world] :
( v4(W0_154)
| ~ $ki_accessible(W_152,W0_154)
| ~ $ki_accessible($ki_local_world,W_152)
| v1(W0_151)
| ~ $ki_accessible(W_149,W0_151)
| ~ $ki_accessible($ki_local_world,W_149)
| ~ v3($ki_local_world)
| v4($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_622]) ).
tff(c_458,plain,
! [W0_154: $ki_world,W_152: $ki_world,W0_151: $ki_world,W_149: $ki_world] :
( v4(W0_154)
| ~ $ki_accessible(W_152,W0_154)
| ~ $ki_accessible($ki_local_world,W_152)
| v1(W0_151)
| ~ $ki_accessible(W_149,W0_151)
| ~ $ki_accessible($ki_local_world,W_149)
| v4($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_318,c_66]) ).
tff(c_459,plain,
! [W0_154: $ki_world,W_152: $ki_world,W0_151: $ki_world,W_149: $ki_world] :
( v4(W0_154)
| ~ $ki_accessible(W_152,W0_154)
| ~ $ki_accessible($ki_local_world,W_152)
| v1(W0_151)
| ~ $ki_accessible(W_149,W0_151)
| ~ $ki_accessible($ki_local_world,W_149) ),
inference(negUnitSimplification,[status(thm)],[c_142,c_458]) ).
tff(c_461,plain,
! [W0_307: $ki_world,W_308: $ki_world] :
( v1(W0_307)
| ~ $ki_accessible(W_308,W0_307)
| ~ $ki_accessible($ki_local_world,W_308) ),
inference(splitLeft,[status(thm)],[c_459]) ).
tff(c_465,plain,
( v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_461]) ).
tff(c_469,plain,
v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_465]) ).
tff(c_471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153,c_469]) ).
tff(c_473,plain,
! [W0_309: $ki_world,W_310: $ki_world] :
( v4(W0_309)
| ~ $ki_accessible(W_310,W0_309)
| ~ $ki_accessible($ki_local_world,W_310) ),
inference(splitRight,[status(thm)],[c_459]) ).
tff(c_477,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_473]) ).
tff(c_481,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_477]) ).
tff(c_483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133,c_481]) ).
tff(c_484,plain,
( v1($ki_local_world)
| v2($ki_local_world)
| v3($ki_local_world) ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_486,plain,
v3($ki_local_world),
inference(splitLeft,[status(thm)],[c_484]) ).
tff(c_62,plain,
! [W0_144: $ki_world,W_142: $ki_world,W_141: $ki_world] :
( v3(W0_144)
| ~ $ki_accessible(W_142,W0_144)
| ~ $ki_accessible($ki_local_world,W_142)
| ~ v1(W_141)
| ~ $ki_accessible($ki_local_world,W_141)
| ~ v1($ki_local_world)
| v4($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_585]) ).
tff(c_519,plain,
! [W0_144: $ki_world,W_142: $ki_world,W_141: $ki_world] :
( v3(W0_144)
| ~ $ki_accessible(W_142,W0_144)
| ~ $ki_accessible($ki_local_world,W_142)
| ~ v1(W_141)
| ~ $ki_accessible($ki_local_world,W_141)
| ~ v1($ki_local_world) ),
inference(negUnitSimplification,[status(thm)],[c_142,c_62]) ).
tff(c_520,plain,
~ v1($ki_local_world),
inference(splitLeft,[status(thm)],[c_519]) ).
tff(c_24,plain,
! [W0_42: $ki_world,W_40: $ki_world,W_39: $ki_world] :
( ~ v1(W0_42)
| ~ $ki_accessible(W_40,W0_42)
| ~ $ki_accessible($ki_local_world,W_40)
| ~ v1(W_39)
| ~ $ki_accessible($ki_local_world,W_39)
| ~ v3($ki_local_world)
| v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_566,plain,
! [W0_42: $ki_world,W_40: $ki_world,W_39: $ki_world] :
( ~ v1(W0_42)
| ~ $ki_accessible(W_40,W0_42)
| ~ $ki_accessible($ki_local_world,W_40)
| ~ v1(W_39)
| ~ $ki_accessible($ki_local_world,W_39)
| v1($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_486,c_24]) ).
tff(c_567,plain,
! [W0_42: $ki_world,W_40: $ki_world,W_39: $ki_world] :
( ~ v1(W0_42)
| ~ $ki_accessible(W_40,W0_42)
| ~ $ki_accessible($ki_local_world,W_40)
| ~ v1(W_39)
| ~ $ki_accessible($ki_local_world,W_39) ),
inference(negUnitSimplification,[status(thm)],[c_520,c_566]) ).
tff(c_569,plain,
! [W_318: $ki_world] :
( ~ v1(W_318)
| ~ $ki_accessible($ki_local_world,W_318) ),
inference(splitLeft,[status(thm)],[c_567]) ).
tff(c_578,plain,
~ v1('#skF_1'),
inference(resolution,[status(thm)],[c_106,c_569]) ).
tff(c_633,plain,
! [W0_154: $ki_world,W_152: $ki_world,W0_151: $ki_world,W_149: $ki_world] :
( v4(W0_154)
| ~ $ki_accessible(W_152,W0_154)
| ~ $ki_accessible($ki_local_world,W_152)
| v1(W0_151)
| ~ $ki_accessible(W_149,W0_151)
| ~ $ki_accessible($ki_local_world,W_149)
| v4($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_486,c_66]) ).
tff(c_634,plain,
! [W0_154: $ki_world,W_152: $ki_world,W0_151: $ki_world,W_149: $ki_world] :
( v4(W0_154)
| ~ $ki_accessible(W_152,W0_154)
| ~ $ki_accessible($ki_local_world,W_152)
| v1(W0_151)
| ~ $ki_accessible(W_149,W0_151)
| ~ $ki_accessible($ki_local_world,W_149) ),
inference(negUnitSimplification,[status(thm)],[c_142,c_633]) ).
tff(c_638,plain,
! [W0_323: $ki_world,W_324: $ki_world] :
( v1(W0_323)
| ~ $ki_accessible(W_324,W0_323)
| ~ $ki_accessible($ki_local_world,W_324) ),
inference(splitLeft,[status(thm)],[c_634]) ).
tff(c_642,plain,
( v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_638]) ).
tff(c_646,plain,
v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_642]) ).
tff(c_648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_578,c_646]) ).
tff(c_650,plain,
! [W0_325: $ki_world,W_326: $ki_world] :
( v4(W0_325)
| ~ $ki_accessible(W_326,W0_325)
| ~ $ki_accessible($ki_local_world,W_326) ),
inference(splitRight,[status(thm)],[c_634]) ).
tff(c_654,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_650]) ).
tff(c_658,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_654]) ).
tff(c_660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133,c_658]) ).
tff(c_662,plain,
! [W0_327: $ki_world,W_328: $ki_world] :
( ~ v1(W0_327)
| ~ $ki_accessible(W_328,W0_327)
| ~ $ki_accessible($ki_local_world,W_328) ),
inference(splitRight,[status(thm)],[c_567]) ).
tff(c_666,plain,
( ~ v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_662]) ).
tff(c_670,plain,
~ v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_666]) ).
tff(c_488,plain,
! [W0_10: $ki_world,W_8: $ki_world] :
( ~ v3(W0_10)
| ~ $ki_accessible(W_8,W0_10)
| ~ $ki_accessible($ki_local_world,W_8)
| v2($ki_local_world)
| v1($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_486,c_8]) ).
tff(c_490,plain,
! [W0_311: $ki_world,W_312: $ki_world] :
( ~ v3(W0_311)
| ~ $ki_accessible(W_312,W0_311)
| ~ $ki_accessible($ki_local_world,W_312) ),
inference(splitLeft,[status(thm)],[c_488]) ).
tff(c_501,plain,
! [W_313: $ki_world] :
( ~ v3(W_313)
| ~ $ki_accessible($ki_local_world,W_313) ),
inference(resolution,[status(thm)],[c_2,c_490]) ).
tff(c_505,plain,
~ v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_501]) ).
tff(c_512,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_486,c_505]) ).
tff(c_513,plain,
( v1($ki_local_world)
| v2($ki_local_world) ),
inference(splitRight,[status(thm)],[c_488]) ).
tff(c_514,plain,
v2($ki_local_world),
inference(splitLeft,[status(thm)],[c_513]) ).
tff(c_84,plain,
! [W0_208: $ki_world,W_206: $ki_world,W0_205: $ki_world,W_203: $ki_world] :
( v4(W0_208)
| ~ $ki_accessible(W_206,W0_208)
| ~ $ki_accessible($ki_local_world,W_206)
| v1(W0_205)
| ~ $ki_accessible(W_203,W0_205)
| ~ $ki_accessible($ki_local_world,W_203)
| ~ v3($ki_local_world)
| ~ v2($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_824]) ).
tff(c_737,plain,
! [W0_208: $ki_world,W_206: $ki_world,W0_205: $ki_world,W_203: $ki_world] :
( v4(W0_208)
| ~ $ki_accessible(W_206,W0_208)
| ~ $ki_accessible($ki_local_world,W_206)
| v1(W0_205)
| ~ $ki_accessible(W_203,W0_205)
| ~ $ki_accessible($ki_local_world,W_203) ),
inference(demodulation,[status(thm),theory(equality)],[c_514,c_486,c_84]) ).
tff(c_739,plain,
! [W0_334: $ki_world,W_335: $ki_world] :
( v1(W0_334)
| ~ $ki_accessible(W_335,W0_334)
| ~ $ki_accessible($ki_local_world,W_335) ),
inference(splitLeft,[status(thm)],[c_737]) ).
tff(c_743,plain,
( v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_739]) ).
tff(c_747,plain,
v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_743]) ).
tff(c_749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_670,c_747]) ).
tff(c_751,plain,
! [W0_336: $ki_world,W_337: $ki_world] :
( v4(W0_336)
| ~ $ki_accessible(W_337,W0_336)
| ~ $ki_accessible($ki_local_world,W_337) ),
inference(splitRight,[status(thm)],[c_737]) ).
tff(c_755,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_751]) ).
tff(c_759,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_755]) ).
tff(c_761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133,c_759]) ).
tff(c_763,plain,
v1($ki_local_world),
inference(splitRight,[status(thm)],[c_519]) ).
tff(c_74,plain,
! [W0_173: $ki_world,W_171: $ki_world,W_170: $ki_world] :
( v4(W0_173)
| ~ $ki_accessible(W_171,W0_173)
| ~ $ki_accessible($ki_local_world,W_171)
| ~ v3(W_170)
| ~ $ki_accessible($ki_local_world,W_170)
| ~ v3($ki_local_world)
| ~ v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_704]) ).
tff(c_821,plain,
! [W0_173: $ki_world,W_171: $ki_world,W_170: $ki_world] :
( v4(W0_173)
| ~ $ki_accessible(W_171,W0_173)
| ~ $ki_accessible($ki_local_world,W_171)
| ~ v3(W_170)
| ~ $ki_accessible($ki_local_world,W_170) ),
inference(demodulation,[status(thm),theory(equality)],[c_763,c_486,c_74]) ).
tff(c_823,plain,
! [W_343: $ki_world] :
( ~ v3(W_343)
| ~ $ki_accessible($ki_local_world,W_343) ),
inference(splitLeft,[status(thm)],[c_821]) ).
tff(c_827,plain,
~ v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_823]) ).
tff(c_834,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_486,c_827]) ).
tff(c_836,plain,
! [W0_344: $ki_world,W_345: $ki_world] :
( v4(W0_344)
| ~ $ki_accessible(W_345,W0_344)
| ~ $ki_accessible($ki_local_world,W_345) ),
inference(splitRight,[status(thm)],[c_821]) ).
tff(c_840,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_836]) ).
tff(c_844,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_840]) ).
tff(c_846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133,c_844]) ).
tff(c_847,plain,
v1($ki_local_world),
inference(splitRight,[status(thm)],[c_513]) ).
tff(c_929,plain,
! [W0_173: $ki_world,W_171: $ki_world,W_170: $ki_world] :
( v4(W0_173)
| ~ $ki_accessible(W_171,W0_173)
| ~ $ki_accessible($ki_local_world,W_171)
| ~ v3(W_170)
| ~ $ki_accessible($ki_local_world,W_170) ),
inference(demodulation,[status(thm),theory(equality)],[c_847,c_486,c_74]) ).
tff(c_933,plain,
! [W_352: $ki_world] :
( ~ v3(W_352)
| ~ $ki_accessible($ki_local_world,W_352) ),
inference(splitLeft,[status(thm)],[c_929]) ).
tff(c_937,plain,
~ v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_933]) ).
tff(c_944,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_486,c_937]) ).
tff(c_946,plain,
! [W0_353: $ki_world,W_354: $ki_world] :
( v4(W0_353)
| ~ $ki_accessible(W_354,W0_353)
| ~ $ki_accessible($ki_local_world,W_354) ),
inference(splitRight,[status(thm)],[c_929]) ).
tff(c_950,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_946]) ).
tff(c_954,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_950]) ).
tff(c_956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133,c_954]) ).
tff(c_958,plain,
~ v3($ki_local_world),
inference(splitRight,[status(thm)],[c_484]) ).
tff(c_957,plain,
( v2($ki_local_world)
| v1($ki_local_world) ),
inference(splitRight,[status(thm)],[c_484]) ).
tff(c_959,plain,
v1($ki_local_world),
inference(splitLeft,[status(thm)],[c_957]) ).
tff(c_966,plain,
! [W0_144: $ki_world,W_142: $ki_world,W_141: $ki_world] :
( v3(W0_144)
| ~ $ki_accessible(W_142,W0_144)
| ~ $ki_accessible($ki_local_world,W_142)
| ~ v1(W_141)
| ~ $ki_accessible($ki_local_world,W_141)
| v4($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_959,c_62]) ).
tff(c_967,plain,
! [W0_144: $ki_world,W_142: $ki_world,W_141: $ki_world] :
( v3(W0_144)
| ~ $ki_accessible(W_142,W0_144)
| ~ $ki_accessible($ki_local_world,W_142)
| ~ v1(W_141)
| ~ $ki_accessible($ki_local_world,W_141) ),
inference(negUnitSimplification,[status(thm)],[c_142,c_966]) ).
tff(c_969,plain,
! [W_355: $ki_world] :
( ~ v1(W_355)
| ~ $ki_accessible($ki_local_world,W_355) ),
inference(splitLeft,[status(thm)],[c_967]) ).
tff(c_973,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_969]) ).
tff(c_980,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_959,c_973]) ).
tff(c_982,plain,
! [W0_356: $ki_world,W_357: $ki_world] :
( v3(W0_356)
| ~ $ki_accessible(W_357,W0_356)
| ~ $ki_accessible($ki_local_world,W_357) ),
inference(splitRight,[status(thm)],[c_967]) ).
tff(c_991,plain,
! [W_358: $ki_world] :
( v3(W_358)
| ~ $ki_accessible($ki_local_world,W_358) ),
inference(resolution,[status(thm)],[c_2,c_982]) ).
tff(c_995,plain,
v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_991]) ).
tff(c_1002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_958,c_995]) ).
tff(c_1004,plain,
~ v1($ki_local_world),
inference(splitRight,[status(thm)],[c_957]) ).
tff(c_1003,plain,
v2($ki_local_world),
inference(splitRight,[status(thm)],[c_957]) ).
tff(c_1019,plain,
! [W0_34: $ki_world,W_32: $ki_world,W_31: $ki_world] :
( v3(W0_34)
| ~ $ki_accessible(W_32,W0_34)
| ~ $ki_accessible($ki_local_world,W_32)
| ~ v3(W_31)
| ~ $ki_accessible($ki_local_world,W_31)
| v1($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_1003,c_20]) ).
tff(c_1020,plain,
! [W0_34: $ki_world,W_32: $ki_world,W_31: $ki_world] :
( v3(W0_34)
| ~ $ki_accessible(W_32,W0_34)
| ~ $ki_accessible($ki_local_world,W_32)
| ~ v3(W_31)
| ~ $ki_accessible($ki_local_world,W_31) ),
inference(negUnitSimplification,[status(thm)],[c_1004,c_1019]) ).
tff(c_1022,plain,
! [W_359: $ki_world] :
( ~ v3(W_359)
| ~ $ki_accessible($ki_local_world,W_359) ),
inference(splitLeft,[status(thm)],[c_1020]) ).
tff(c_1031,plain,
~ v3('#skF_1'),
inference(resolution,[status(thm)],[c_106,c_1022]) ).
tff(c_1072,plain,
! [W0_23: $ki_world,W_21: $ki_world,W0_20: $ki_world,W_18: $ki_world] :
( v4(W0_23)
| ~ $ki_accessible(W_21,W0_23)
| ~ $ki_accessible($ki_local_world,W_21)
| v3(W0_20)
| ~ $ki_accessible(W_18,W0_20)
| ~ $ki_accessible($ki_local_world,W_18) ),
inference(negUnitSimplification,[status(thm)],[c_1004,c_958,c_14]) ).
tff(c_1074,plain,
! [W0_362: $ki_world,W_363: $ki_world] :
( v3(W0_362)
| ~ $ki_accessible(W_363,W0_362)
| ~ $ki_accessible($ki_local_world,W_363) ),
inference(splitLeft,[status(thm)],[c_1072]) ).
tff(c_1078,plain,
( v3('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1074]) ).
tff(c_1082,plain,
v3('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1078]) ).
tff(c_1084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1031,c_1082]) ).
tff(c_1086,plain,
! [W0_364: $ki_world,W_365: $ki_world] :
( v4(W0_364)
| ~ $ki_accessible(W_365,W0_364)
| ~ $ki_accessible($ki_local_world,W_365) ),
inference(splitRight,[status(thm)],[c_1072]) ).
tff(c_1090,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1086]) ).
tff(c_1094,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1090]) ).
tff(c_1096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133,c_1094]) ).
tff(c_1098,plain,
! [W0_366: $ki_world,W_367: $ki_world] :
( v3(W0_366)
| ~ $ki_accessible(W_367,W0_366)
| ~ $ki_accessible($ki_local_world,W_367) ),
inference(splitRight,[status(thm)],[c_1020]) ).
tff(c_1107,plain,
! [W_368: $ki_world] :
( v3(W_368)
| ~ $ki_accessible($ki_local_world,W_368) ),
inference(resolution,[status(thm)],[c_2,c_1098]) ).
tff(c_1111,plain,
v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1107]) ).
tff(c_1118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_958,c_1111]) ).
tff(c_1119,plain,
( v2($ki_local_world)
| v3($ki_local_world)
| v4($ki_local_world) ),
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_1120,plain,
v4($ki_local_world),
inference(splitLeft,[status(thm)],[c_1119]) ).
tff(c_18,plain,
! [W0_30: $ki_world,W_28: $ki_world] :
( ~ v2(W0_30)
| ~ $ki_accessible(W_28,W0_30)
| ~ $ki_accessible($ki_local_world,W_28)
| ~ v4($ki_local_world)
| ~ v2($ki_local_world)
| v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_1122,plain,
! [W0_30: $ki_world,W_28: $ki_world] :
( ~ v2(W0_30)
| ~ $ki_accessible(W_28,W0_30)
| ~ $ki_accessible($ki_local_world,W_28)
| ~ v2($ki_local_world)
| v1($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_18]) ).
tff(c_1123,plain,
~ v2($ki_local_world),
inference(splitLeft,[status(thm)],[c_1122]) ).
tff(c_10,plain,
! [W0_13: $ki_world,W_11: $ki_world] :
( ~ v4(W0_13)
| ~ $ki_accessible(W_11,W0_13)
| ~ $ki_accessible($ki_local_world,W_11)
| ~ v3($ki_local_world)
| v2($ki_local_world)
| v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_1124,plain,
! [W0_13: $ki_world,W_11: $ki_world] :
( ~ v4(W0_13)
| ~ $ki_accessible(W_11,W0_13)
| ~ $ki_accessible($ki_local_world,W_11)
| ~ v3($ki_local_world)
| v1($ki_local_world) ),
inference(negUnitSimplification,[status(thm)],[c_1123,c_10]) ).
tff(c_1125,plain,
~ v3($ki_local_world),
inference(splitLeft,[status(thm)],[c_1124]) ).
tff(c_1126,plain,
! [W0_7: $ki_world,W_5: $ki_world] :
( ~ v1(W0_7)
| ~ $ki_accessible(W_5,W0_7)
| ~ $ki_accessible($ki_local_world,W_5)
| v1($ki_local_world) ),
inference(negUnitSimplification,[status(thm)],[c_1123,c_1125,c_6]) ).
tff(c_1128,plain,
! [W0_369: $ki_world,W_370: $ki_world] :
( ~ v1(W0_369)
| ~ $ki_accessible(W_370,W0_369)
| ~ $ki_accessible($ki_local_world,W_370) ),
inference(splitLeft,[status(thm)],[c_1126]) ).
tff(c_1132,plain,
( ~ v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1128]) ).
tff(c_1136,plain,
~ v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1132]) ).
tff(c_1138,plain,
! [W_371: $ki_world] :
( ~ v1(W_371)
| ~ $ki_accessible($ki_local_world,W_371) ),
inference(resolution,[status(thm)],[c_2,c_1128]) ).
tff(c_1146,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1138]) ).
tff(c_12,plain,
! [W0_17: $ki_world,W_15: $ki_world,W_14: $ki_world] :
( v1(W0_17)
| ~ $ki_accessible(W_15,W0_17)
| ~ $ki_accessible($ki_local_world,W_15)
| ~ v3(W_14)
| ~ $ki_accessible($ki_local_world,W_14)
| v2($ki_local_world)
| v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1162,plain,
! [W0_17: $ki_world,W_15: $ki_world,W_14: $ki_world] :
( v1(W0_17)
| ~ $ki_accessible(W_15,W0_17)
| ~ $ki_accessible($ki_local_world,W_15)
| ~ v3(W_14)
| ~ $ki_accessible($ki_local_world,W_14) ),
inference(negUnitSimplification,[status(thm)],[c_1146,c_1123,c_12]) ).
tff(c_1164,plain,
! [W_372: $ki_world] :
( ~ v3(W_372)
| ~ $ki_accessible($ki_local_world,W_372) ),
inference(splitLeft,[status(thm)],[c_1162]) ).
tff(c_1173,plain,
~ v3('#skF_1'),
inference(resolution,[status(thm)],[c_106,c_1164]) ).
tff(c_1180,plain,
! [W0_23: $ki_world,W_21: $ki_world,W0_20: $ki_world,W_18: $ki_world] :
( v4(W0_23)
| ~ $ki_accessible(W_21,W0_23)
| ~ $ki_accessible($ki_local_world,W_21)
| v3(W0_20)
| ~ $ki_accessible(W_18,W0_20)
| ~ $ki_accessible($ki_local_world,W_18) ),
inference(negUnitSimplification,[status(thm)],[c_1146,c_1125,c_14]) ).
tff(c_1182,plain,
! [W0_373: $ki_world,W_374: $ki_world] :
( v3(W0_373)
| ~ $ki_accessible(W_374,W0_373)
| ~ $ki_accessible($ki_local_world,W_374) ),
inference(splitLeft,[status(thm)],[c_1180]) ).
tff(c_1186,plain,
( v3('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1182]) ).
tff(c_1190,plain,
v3('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1186]) ).
tff(c_1192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1173,c_1190]) ).
tff(c_1194,plain,
! [W0_375: $ki_world,W_376: $ki_world] :
( v4(W0_375)
| ~ $ki_accessible(W_376,W0_375)
| ~ $ki_accessible($ki_local_world,W_376) ),
inference(splitRight,[status(thm)],[c_1180]) ).
tff(c_1198,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1194]) ).
tff(c_1202,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1198]) ).
tff(c_56,plain,
! [W0_131: $ki_world,W_129: $ki_world,W0_128: $ki_world,W_126: $ki_world] :
( ~ v4(W0_131)
| ~ $ki_accessible(W_129,W0_131)
| ~ $ki_accessible($ki_local_world,W_129)
| v3(W0_128)
| ~ $ki_accessible(W_126,W0_128)
| ~ $ki_accessible($ki_local_world,W_126)
| ~ v4($ki_local_world)
| v3($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_529]) ).
tff(c_1220,plain,
! [W0_131: $ki_world,W_129: $ki_world,W0_128: $ki_world,W_126: $ki_world] :
( ~ v4(W0_131)
| ~ $ki_accessible(W_129,W0_131)
| ~ $ki_accessible($ki_local_world,W_129)
| v3(W0_128)
| ~ $ki_accessible(W_126,W0_128)
| ~ $ki_accessible($ki_local_world,W_126)
| v3($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_56]) ).
tff(c_1221,plain,
! [W0_131: $ki_world,W_129: $ki_world,W0_128: $ki_world,W_126: $ki_world] :
( ~ v4(W0_131)
| ~ $ki_accessible(W_129,W0_131)
| ~ $ki_accessible($ki_local_world,W_129)
| v3(W0_128)
| ~ $ki_accessible(W_126,W0_128)
| ~ $ki_accessible($ki_local_world,W_126) ),
inference(negUnitSimplification,[status(thm)],[c_1125,c_1220]) ).
tff(c_1223,plain,
! [W0_378: $ki_world,W_379: $ki_world] :
( ~ v4(W0_378)
| ~ $ki_accessible(W_379,W0_378)
| ~ $ki_accessible($ki_local_world,W_379) ),
inference(splitLeft,[status(thm)],[c_1221]) ).
tff(c_1227,plain,
( ~ v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1223]) ).
tff(c_1232,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1202,c_1227]) ).
tff(c_1247,plain,
! [W0_382: $ki_world,W_383: $ki_world] :
( v3(W0_382)
| ~ $ki_accessible(W_383,W0_382)
| ~ $ki_accessible($ki_local_world,W_383) ),
inference(splitRight,[status(thm)],[c_1221]) ).
tff(c_1251,plain,
( v3('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1247]) ).
tff(c_1255,plain,
v3('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1251]) ).
tff(c_1257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1173,c_1255]) ).
tff(c_1259,plain,
! [W0_384: $ki_world,W_385: $ki_world] :
( v1(W0_384)
| ~ $ki_accessible(W_385,W0_384)
| ~ $ki_accessible($ki_local_world,W_385) ),
inference(splitRight,[status(thm)],[c_1162]) ).
tff(c_1263,plain,
( v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1259]) ).
tff(c_1267,plain,
v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1263]) ).
tff(c_1269,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1136,c_1267]) ).
tff(c_1270,plain,
v1($ki_local_world),
inference(splitRight,[status(thm)],[c_1126]) ).
tff(c_38,plain,
! [W0_76: $ki_world,W_74: $ki_world,W0_73: $ki_world,W_71: $ki_world] :
( ~ v3(W0_76)
| ~ $ki_accessible(W_74,W0_76)
| ~ $ki_accessible($ki_local_world,W_74)
| v4(W0_73)
| ~ $ki_accessible(W_71,W0_73)
| ~ $ki_accessible($ki_local_world,W_71)
| ~ v1($ki_local_world)
| v2($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_341]) ).
tff(c_1304,plain,
! [W0_76: $ki_world,W_74: $ki_world,W0_73: $ki_world,W_71: $ki_world] :
( ~ v3(W0_76)
| ~ $ki_accessible(W_74,W0_76)
| ~ $ki_accessible($ki_local_world,W_74)
| v4(W0_73)
| ~ $ki_accessible(W_71,W0_73)
| ~ $ki_accessible($ki_local_world,W_71)
| v2($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_1270,c_38]) ).
tff(c_1305,plain,
! [W0_76: $ki_world,W_74: $ki_world,W0_73: $ki_world,W_71: $ki_world] :
( ~ v3(W0_76)
| ~ $ki_accessible(W_74,W0_76)
| ~ $ki_accessible($ki_local_world,W_74)
| v4(W0_73)
| ~ $ki_accessible(W_71,W0_73)
| ~ $ki_accessible($ki_local_world,W_71) ),
inference(negUnitSimplification,[status(thm)],[c_1123,c_1304]) ).
tff(c_1307,plain,
! [W0_386: $ki_world,W_387: $ki_world] :
( ~ v3(W0_386)
| ~ $ki_accessible(W_387,W0_386)
| ~ $ki_accessible($ki_local_world,W_387) ),
inference(splitLeft,[status(thm)],[c_1305]) ).
tff(c_1311,plain,
( ~ v3('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1307]) ).
tff(c_1315,plain,
~ v3('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1311]) ).
tff(c_1328,plain,
! [W0_131: $ki_world,W_129: $ki_world,W0_128: $ki_world,W_126: $ki_world] :
( ~ v4(W0_131)
| ~ $ki_accessible(W_129,W0_131)
| ~ $ki_accessible($ki_local_world,W_129)
| v3(W0_128)
| ~ $ki_accessible(W_126,W0_128)
| ~ $ki_accessible($ki_local_world,W_126)
| v3($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_56]) ).
tff(c_1329,plain,
! [W0_131: $ki_world,W_129: $ki_world,W0_128: $ki_world,W_126: $ki_world] :
( ~ v4(W0_131)
| ~ $ki_accessible(W_129,W0_131)
| ~ $ki_accessible($ki_local_world,W_129)
| v3(W0_128)
| ~ $ki_accessible(W_126,W0_128)
| ~ $ki_accessible($ki_local_world,W_126) ),
inference(negUnitSimplification,[status(thm)],[c_1125,c_1328]) ).
tff(c_1347,plain,
! [W0_390: $ki_world,W_391: $ki_world] :
( ~ v4(W0_390)
| ~ $ki_accessible(W_391,W0_390)
| ~ $ki_accessible($ki_local_world,W_391) ),
inference(splitLeft,[status(thm)],[c_1329]) ).
tff(c_1356,plain,
! [W_392: $ki_world] :
( ~ v4(W_392)
| ~ $ki_accessible($ki_local_world,W_392) ),
inference(resolution,[status(thm)],[c_2,c_1347]) ).
tff(c_1360,plain,
~ v4($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1356]) ).
tff(c_1367,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_1360]) ).
tff(c_1369,plain,
! [W0_393: $ki_world,W_394: $ki_world] :
( v3(W0_393)
| ~ $ki_accessible(W_394,W0_393)
| ~ $ki_accessible($ki_local_world,W_394) ),
inference(splitRight,[status(thm)],[c_1329]) ).
tff(c_1373,plain,
( v3('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1369]) ).
tff(c_1377,plain,
v3('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1373]) ).
tff(c_1379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1315,c_1377]) ).
tff(c_1381,plain,
! [W0_395: $ki_world,W_396: $ki_world] :
( v4(W0_395)
| ~ $ki_accessible(W_396,W0_395)
| ~ $ki_accessible($ki_local_world,W_396) ),
inference(splitRight,[status(thm)],[c_1305]) ).
tff(c_1385,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1381]) ).
tff(c_1389,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1385]) ).
tff(c_1406,plain,
! [W0_131: $ki_world,W_129: $ki_world,W0_128: $ki_world,W_126: $ki_world] :
( ~ v4(W0_131)
| ~ $ki_accessible(W_129,W0_131)
| ~ $ki_accessible($ki_local_world,W_129)
| v3(W0_128)
| ~ $ki_accessible(W_126,W0_128)
| ~ $ki_accessible($ki_local_world,W_126)
| v3($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_56]) ).
tff(c_1407,plain,
! [W0_131: $ki_world,W_129: $ki_world,W0_128: $ki_world,W_126: $ki_world] :
( ~ v4(W0_131)
| ~ $ki_accessible(W_129,W0_131)
| ~ $ki_accessible($ki_local_world,W_129)
| v3(W0_128)
| ~ $ki_accessible(W_126,W0_128)
| ~ $ki_accessible($ki_local_world,W_126) ),
inference(negUnitSimplification,[status(thm)],[c_1125,c_1406]) ).
tff(c_1409,plain,
! [W0_398: $ki_world,W_399: $ki_world] :
( ~ v4(W0_398)
| ~ $ki_accessible(W_399,W0_398)
| ~ $ki_accessible($ki_local_world,W_399) ),
inference(splitLeft,[status(thm)],[c_1407]) ).
tff(c_1413,plain,
( ~ v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1409]) ).
tff(c_1418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1389,c_1413]) ).
tff(c_1420,plain,
! [W0_400: $ki_world,W_401: $ki_world] :
( v3(W0_400)
| ~ $ki_accessible(W_401,W0_400)
| ~ $ki_accessible($ki_local_world,W_401) ),
inference(splitRight,[status(thm)],[c_1407]) ).
tff(c_1429,plain,
! [W_402: $ki_world] :
( v3(W_402)
| ~ $ki_accessible($ki_local_world,W_402) ),
inference(resolution,[status(thm)],[c_2,c_1420]) ).
tff(c_1433,plain,
v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1429]) ).
tff(c_1440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1125,c_1433]) ).
tff(c_1441,plain,
! [W0_13: $ki_world,W_11: $ki_world] :
( ~ v4(W0_13)
| ~ $ki_accessible(W_11,W0_13)
| ~ $ki_accessible($ki_local_world,W_11)
| v1($ki_local_world) ),
inference(splitRight,[status(thm)],[c_1124]) ).
tff(c_1444,plain,
! [W0_403: $ki_world,W_404: $ki_world] :
( ~ v4(W0_403)
| ~ $ki_accessible(W_404,W0_403)
| ~ $ki_accessible($ki_local_world,W_404) ),
inference(splitLeft,[status(thm)],[c_1441]) ).
tff(c_1455,plain,
! [W_405: $ki_world] :
( ~ v4(W_405)
| ~ $ki_accessible($ki_local_world,W_405) ),
inference(resolution,[status(thm)],[c_2,c_1444]) ).
tff(c_1459,plain,
~ v4($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1455]) ).
tff(c_1466,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_1459]) ).
tff(c_1467,plain,
v1($ki_local_world),
inference(splitRight,[status(thm)],[c_1441]) ).
tff(c_1442,plain,
v3($ki_local_world),
inference(splitRight,[status(thm)],[c_1124]) ).
tff(c_40,plain,
! [W0_80: $ki_world,W_78: $ki_world,W_77: $ki_world] :
( ~ v1(W0_80)
| ~ $ki_accessible(W_78,W0_80)
| ~ $ki_accessible($ki_local_world,W_78)
| ~ v1(W_77)
| ~ $ki_accessible($ki_local_world,W_77)
| ~ v3($ki_local_world)
| v2($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_1525,plain,
! [W0_80: $ki_world,W_78: $ki_world,W_77: $ki_world] :
( ~ v1(W0_80)
| ~ $ki_accessible(W_78,W0_80)
| ~ $ki_accessible($ki_local_world,W_78)
| ~ v1(W_77)
| ~ $ki_accessible($ki_local_world,W_77)
| v2($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_1442,c_40]) ).
tff(c_1526,plain,
! [W0_80: $ki_world,W_78: $ki_world,W_77: $ki_world] :
( ~ v1(W0_80)
| ~ $ki_accessible(W_78,W0_80)
| ~ $ki_accessible($ki_local_world,W_78)
| ~ v1(W_77)
| ~ $ki_accessible($ki_local_world,W_77) ),
inference(negUnitSimplification,[status(thm)],[c_1123,c_1525]) ).
tff(c_1528,plain,
! [W_410: $ki_world] :
( ~ v1(W_410)
| ~ $ki_accessible($ki_local_world,W_410) ),
inference(splitLeft,[status(thm)],[c_1526]) ).
tff(c_1532,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1528]) ).
tff(c_1539,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1467,c_1532]) ).
tff(c_1541,plain,
! [W0_411: $ki_world,W_412: $ki_world] :
( ~ v1(W0_411)
| ~ $ki_accessible(W_412,W0_411)
| ~ $ki_accessible($ki_local_world,W_412) ),
inference(splitRight,[status(thm)],[c_1526]) ).
tff(c_1552,plain,
! [W_413: $ki_world] :
( ~ v1(W_413)
| ~ $ki_accessible($ki_local_world,W_413) ),
inference(resolution,[status(thm)],[c_2,c_1541]) ).
tff(c_1556,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1552]) ).
tff(c_1563,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1467,c_1556]) ).
tff(c_1565,plain,
v2($ki_local_world),
inference(splitRight,[status(thm)],[c_1122]) ).
tff(c_1564,plain,
! [W0_30: $ki_world,W_28: $ki_world] :
( ~ v2(W0_30)
| ~ $ki_accessible(W_28,W0_30)
| ~ $ki_accessible($ki_local_world,W_28)
| v1($ki_local_world) ),
inference(splitRight,[status(thm)],[c_1122]) ).
tff(c_1567,plain,
! [W0_414: $ki_world,W_415: $ki_world] :
( ~ v2(W0_414)
| ~ $ki_accessible(W_415,W0_414)
| ~ $ki_accessible($ki_local_world,W_415) ),
inference(splitLeft,[status(thm)],[c_1564]) ).
tff(c_1577,plain,
! [W_416: $ki_world] :
( ~ v2(W_416)
| ~ $ki_accessible($ki_local_world,W_416) ),
inference(resolution,[status(thm)],[c_2,c_1567]) ).
tff(c_1581,plain,
~ v2($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1577]) ).
tff(c_1588,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1565,c_1581]) ).
tff(c_1589,plain,
v1($ki_local_world),
inference(splitRight,[status(thm)],[c_1564]) ).
tff(c_72,plain,
! [W0_169: $ki_world,W_167: $ki_world,W_166: $ki_world] :
( ~ v1(W0_169)
| ~ $ki_accessible(W_167,W0_169)
| ~ $ki_accessible($ki_local_world,W_167)
| ~ v4(W_166)
| ~ $ki_accessible($ki_local_world,W_166)
| ~ v2($ki_local_world)
| ~ v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_685]) ).
tff(c_1679,plain,
! [W0_169: $ki_world,W_167: $ki_world,W_166: $ki_world] :
( ~ v1(W0_169)
| ~ $ki_accessible(W_167,W0_169)
| ~ $ki_accessible($ki_local_world,W_167)
| ~ v4(W_166)
| ~ $ki_accessible($ki_local_world,W_166) ),
inference(demodulation,[status(thm),theory(equality)],[c_1589,c_1565,c_72]) ).
tff(c_1681,plain,
! [W_425: $ki_world] :
( ~ v4(W_425)
| ~ $ki_accessible($ki_local_world,W_425) ),
inference(splitLeft,[status(thm)],[c_1679]) ).
tff(c_1685,plain,
~ v4($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1681]) ).
tff(c_1692,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_1685]) ).
tff(c_1694,plain,
! [W0_426: $ki_world,W_427: $ki_world] :
( ~ v1(W0_426)
| ~ $ki_accessible(W_427,W0_426)
| ~ $ki_accessible($ki_local_world,W_427) ),
inference(splitRight,[status(thm)],[c_1679]) ).
tff(c_1703,plain,
! [W_428: $ki_world] :
( ~ v1(W_428)
| ~ $ki_accessible($ki_local_world,W_428) ),
inference(resolution,[status(thm)],[c_2,c_1694]) ).
tff(c_1707,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1703]) ).
tff(c_1714,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1589,c_1707]) ).
tff(c_1716,plain,
~ v4($ki_local_world),
inference(splitRight,[status(thm)],[c_1119]) ).
tff(c_1715,plain,
( v3($ki_local_world)
| v2($ki_local_world) ),
inference(splitRight,[status(thm)],[c_1119]) ).
tff(c_1717,plain,
v2($ki_local_world),
inference(splitLeft,[status(thm)],[c_1715]) ).
tff(c_1726,plain,
! [W0_34: $ki_world,W_32: $ki_world,W_31: $ki_world] :
( v3(W0_34)
| ~ $ki_accessible(W_32,W0_34)
| ~ $ki_accessible($ki_local_world,W_32)
| ~ v3(W_31)
| ~ $ki_accessible($ki_local_world,W_31)
| v1($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_1717,c_20]) ).
tff(c_1728,plain,
! [W_429: $ki_world] :
( ~ v3(W_429)
| ~ $ki_accessible($ki_local_world,W_429) ),
inference(splitLeft,[status(thm)],[c_1726]) ).
tff(c_1737,plain,
~ v3('#skF_1'),
inference(resolution,[status(thm)],[c_106,c_1728]) ).
tff(c_1738,plain,
! [W0_144: $ki_world,W_142: $ki_world,W_141: $ki_world] :
( v3(W0_144)
| ~ $ki_accessible(W_142,W0_144)
| ~ $ki_accessible($ki_local_world,W_142)
| ~ v1(W_141)
| ~ $ki_accessible($ki_local_world,W_141)
| ~ v1($ki_local_world) ),
inference(negUnitSimplification,[status(thm)],[c_1716,c_62]) ).
tff(c_1739,plain,
~ v1($ki_local_world),
inference(splitLeft,[status(thm)],[c_1738]) ).
tff(c_1736,plain,
~ v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1728]) ).
tff(c_1893,plain,
! [W0_23: $ki_world,W_21: $ki_world,W0_20: $ki_world,W_18: $ki_world] :
( v4(W0_23)
| ~ $ki_accessible(W_21,W0_23)
| ~ $ki_accessible($ki_local_world,W_21)
| v3(W0_20)
| ~ $ki_accessible(W_18,W0_20)
| ~ $ki_accessible($ki_local_world,W_18) ),
inference(negUnitSimplification,[status(thm)],[c_1739,c_1736,c_14]) ).
tff(c_1895,plain,
! [W0_447: $ki_world,W_448: $ki_world] :
( v3(W0_447)
| ~ $ki_accessible(W_448,W0_447)
| ~ $ki_accessible($ki_local_world,W_448) ),
inference(splitLeft,[status(thm)],[c_1893]) ).
tff(c_1899,plain,
( v3('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1895]) ).
tff(c_1903,plain,
v3('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1899]) ).
tff(c_1905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1737,c_1903]) ).
tff(c_1907,plain,
! [W0_449: $ki_world,W_450: $ki_world] :
( v4(W0_449)
| ~ $ki_accessible(W_450,W0_449)
| ~ $ki_accessible($ki_local_world,W_450) ),
inference(splitRight,[status(thm)],[c_1893]) ).
tff(c_1918,plain,
! [W_451: $ki_world] :
( v4(W_451)
| ~ $ki_accessible($ki_local_world,W_451) ),
inference(resolution,[status(thm)],[c_2,c_1907]) ).
tff(c_1922,plain,
v4($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1918]) ).
tff(c_1929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1716,c_1922]) ).
tff(c_1931,plain,
v1($ki_local_world),
inference(splitRight,[status(thm)],[c_1738]) ).
tff(c_1930,plain,
! [W_141: $ki_world,W0_144: $ki_world,W_142: $ki_world] :
( ~ v1(W_141)
| ~ $ki_accessible($ki_local_world,W_141)
| v3(W0_144)
| ~ $ki_accessible(W_142,W0_144)
| ~ $ki_accessible($ki_local_world,W_142) ),
inference(splitRight,[status(thm)],[c_1738]) ).
tff(c_1933,plain,
! [W_452: $ki_world] :
( ~ v1(W_452)
| ~ $ki_accessible($ki_local_world,W_452) ),
inference(splitLeft,[status(thm)],[c_1930]) ).
tff(c_1937,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1933]) ).
tff(c_1944,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1931,c_1937]) ).
tff(c_1946,plain,
! [W0_453: $ki_world,W_454: $ki_world] :
( v3(W0_453)
| ~ $ki_accessible(W_454,W0_453)
| ~ $ki_accessible($ki_local_world,W_454) ),
inference(splitRight,[status(thm)],[c_1930]) ).
tff(c_1950,plain,
( v3('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_1946]) ).
tff(c_1954,plain,
v3('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1950]) ).
tff(c_1956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1737,c_1954]) ).
tff(c_1957,plain,
! [W0_34: $ki_world,W_32: $ki_world] :
( v1($ki_local_world)
| v3(W0_34)
| ~ $ki_accessible(W_32,W0_34)
| ~ $ki_accessible($ki_local_world,W_32) ),
inference(splitRight,[status(thm)],[c_1726]) ).
tff(c_1958,plain,
v1($ki_local_world),
inference(splitLeft,[status(thm)],[c_1957]) ).
tff(c_1960,plain,
! [W0_144: $ki_world,W_142: $ki_world,W_141: $ki_world] :
( v3(W0_144)
| ~ $ki_accessible(W_142,W0_144)
| ~ $ki_accessible($ki_local_world,W_142)
| ~ v1(W_141)
| ~ $ki_accessible($ki_local_world,W_141)
| v4($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_1958,c_62]) ).
tff(c_1961,plain,
! [W0_144: $ki_world,W_142: $ki_world,W_141: $ki_world] :
( v3(W0_144)
| ~ $ki_accessible(W_142,W0_144)
| ~ $ki_accessible($ki_local_world,W_142)
| ~ v1(W_141)
| ~ $ki_accessible($ki_local_world,W_141) ),
inference(negUnitSimplification,[status(thm)],[c_1716,c_1960]) ).
tff(c_1963,plain,
! [W_455: $ki_world] :
( ~ v1(W_455)
| ~ $ki_accessible($ki_local_world,W_455) ),
inference(splitLeft,[status(thm)],[c_1961]) ).
tff(c_1967,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1963]) ).
tff(c_1974,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1958,c_1967]) ).
tff(c_1976,plain,
! [W0_456: $ki_world,W_457: $ki_world] :
( v3(W0_456)
| ~ $ki_accessible(W_457,W0_456)
| ~ $ki_accessible($ki_local_world,W_457) ),
inference(splitRight,[status(thm)],[c_1961]) ).
tff(c_1985,plain,
! [W_458: $ki_world] :
( v3(W_458)
| ~ $ki_accessible($ki_local_world,W_458) ),
inference(resolution,[status(thm)],[c_2,c_1976]) ).
tff(c_1993,plain,
v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1985]) ).
tff(c_1997,plain,
! [W0_173: $ki_world,W_171: $ki_world,W_170: $ki_world] :
( v4(W0_173)
| ~ $ki_accessible(W_171,W0_173)
| ~ $ki_accessible($ki_local_world,W_171)
| ~ v3(W_170)
| ~ $ki_accessible($ki_local_world,W_170) ),
inference(demodulation,[status(thm),theory(equality)],[c_1958,c_1993,c_74]) ).
tff(c_1999,plain,
! [W_459: $ki_world] :
( ~ v3(W_459)
| ~ $ki_accessible($ki_local_world,W_459) ),
inference(splitLeft,[status(thm)],[c_1997]) ).
tff(c_2003,plain,
~ v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_1999]) ).
tff(c_2010,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1993,c_2003]) ).
tff(c_2012,plain,
! [W0_460: $ki_world,W_461: $ki_world] :
( v4(W0_460)
| ~ $ki_accessible(W_461,W0_460)
| ~ $ki_accessible($ki_local_world,W_461) ),
inference(splitRight,[status(thm)],[c_1997]) ).
tff(c_2023,plain,
! [W_462: $ki_world] :
( v4(W_462)
| ~ $ki_accessible($ki_local_world,W_462) ),
inference(resolution,[status(thm)],[c_2,c_2012]) ).
tff(c_2027,plain,
v4($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_2023]) ).
tff(c_2034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1716,c_2027]) ).
tff(c_2036,plain,
~ v1($ki_local_world),
inference(splitRight,[status(thm)],[c_1957]) ).
tff(c_2037,plain,
! [W0_463: $ki_world,W_464: $ki_world] :
( v3(W0_463)
| ~ $ki_accessible(W_464,W0_463)
| ~ $ki_accessible($ki_local_world,W_464) ),
inference(splitRight,[status(thm)],[c_1957]) ).
tff(c_2046,plain,
! [W_465: $ki_world] :
( v3(W_465)
| ~ $ki_accessible($ki_local_world,W_465) ),
inference(resolution,[status(thm)],[c_2,c_2037]) ).
tff(c_2054,plain,
v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_2046]) ).
tff(c_22,plain,
! [W0_38: $ki_world,W_36: $ki_world,W_35: $ki_world] :
( ~ v4(W0_38)
| ~ $ki_accessible(W_36,W0_38)
| ~ $ki_accessible($ki_local_world,W_36)
| v4(W_35)
| ~ $ki_accessible($ki_local_world,W_35)
| ~ v3($ki_local_world)
| v1($ki_local_world) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_2058,plain,
! [W0_38: $ki_world,W_36: $ki_world,W_35: $ki_world] :
( ~ v4(W0_38)
| ~ $ki_accessible(W_36,W0_38)
| ~ $ki_accessible($ki_local_world,W_36)
| v4(W_35)
| ~ $ki_accessible($ki_local_world,W_35)
| v1($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_2054,c_22]) ).
tff(c_2059,plain,
! [W0_38: $ki_world,W_36: $ki_world,W_35: $ki_world] :
( ~ v4(W0_38)
| ~ $ki_accessible(W_36,W0_38)
| ~ $ki_accessible($ki_local_world,W_36)
| v4(W_35)
| ~ $ki_accessible($ki_local_world,W_35) ),
inference(negUnitSimplification,[status(thm)],[c_2036,c_2058]) ).
tff(c_2061,plain,
! [W0_466: $ki_world,W_467: $ki_world] :
( ~ v4(W0_466)
| ~ $ki_accessible(W_467,W0_466)
| ~ $ki_accessible($ki_local_world,W_467) ),
inference(splitLeft,[status(thm)],[c_2059]) ).
tff(c_2065,plain,
( ~ v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_2061]) ).
tff(c_2069,plain,
~ v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2065]) ).
tff(c_2132,plain,
! [W0_42: $ki_world,W_40: $ki_world,W_39: $ki_world] :
( ~ v1(W0_42)
| ~ $ki_accessible(W_40,W0_42)
| ~ $ki_accessible($ki_local_world,W_40)
| ~ v1(W_39)
| ~ $ki_accessible($ki_local_world,W_39)
| v1($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_2054,c_24]) ).
tff(c_2133,plain,
! [W0_42: $ki_world,W_40: $ki_world,W_39: $ki_world] :
( ~ v1(W0_42)
| ~ $ki_accessible(W_40,W0_42)
| ~ $ki_accessible($ki_local_world,W_40)
| ~ v1(W_39)
| ~ $ki_accessible($ki_local_world,W_39) ),
inference(negUnitSimplification,[status(thm)],[c_2036,c_2132]) ).
tff(c_2135,plain,
! [W_473: $ki_world] :
( ~ v1(W_473)
| ~ $ki_accessible($ki_local_world,W_473) ),
inference(splitLeft,[status(thm)],[c_2133]) ).
tff(c_2144,plain,
~ v1('#skF_1'),
inference(resolution,[status(thm)],[c_106,c_2135]) ).
tff(c_2153,plain,
! [W0_208: $ki_world,W_206: $ki_world,W0_205: $ki_world,W_203: $ki_world] :
( v4(W0_208)
| ~ $ki_accessible(W_206,W0_208)
| ~ $ki_accessible($ki_local_world,W_206)
| v1(W0_205)
| ~ $ki_accessible(W_203,W0_205)
| ~ $ki_accessible($ki_local_world,W_203) ),
inference(demodulation,[status(thm),theory(equality)],[c_1717,c_2054,c_84]) ).
tff(c_2155,plain,
! [W0_474: $ki_world,W_475: $ki_world] :
( v1(W0_474)
| ~ $ki_accessible(W_475,W0_474)
| ~ $ki_accessible($ki_local_world,W_475) ),
inference(splitLeft,[status(thm)],[c_2153]) ).
tff(c_2159,plain,
( v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_2155]) ).
tff(c_2163,plain,
v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2159]) ).
tff(c_2165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2144,c_2163]) ).
tff(c_2167,plain,
! [W0_476: $ki_world,W_477: $ki_world] :
( v4(W0_476)
| ~ $ki_accessible(W_477,W0_476)
| ~ $ki_accessible($ki_local_world,W_477) ),
inference(splitRight,[status(thm)],[c_2153]) ).
tff(c_2171,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_2167]) ).
tff(c_2175,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2171]) ).
tff(c_2177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2069,c_2175]) ).
tff(c_2179,plain,
! [W0_478: $ki_world,W_479: $ki_world] :
( ~ v1(W0_478)
| ~ $ki_accessible(W_479,W0_478)
| ~ $ki_accessible($ki_local_world,W_479) ),
inference(splitRight,[status(thm)],[c_2133]) ).
tff(c_2183,plain,
( ~ v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_2179]) ).
tff(c_2187,plain,
~ v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2183]) ).
tff(c_2206,plain,
! [W0_208: $ki_world,W_206: $ki_world,W0_205: $ki_world,W_203: $ki_world] :
( v4(W0_208)
| ~ $ki_accessible(W_206,W0_208)
| ~ $ki_accessible($ki_local_world,W_206)
| v1(W0_205)
| ~ $ki_accessible(W_203,W0_205)
| ~ $ki_accessible($ki_local_world,W_203) ),
inference(demodulation,[status(thm),theory(equality)],[c_1717,c_2054,c_84]) ).
tff(c_2208,plain,
! [W0_481: $ki_world,W_482: $ki_world] :
( v1(W0_481)
| ~ $ki_accessible(W_482,W0_481)
| ~ $ki_accessible($ki_local_world,W_482) ),
inference(splitLeft,[status(thm)],[c_2206]) ).
tff(c_2212,plain,
( v1('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_2208]) ).
tff(c_2216,plain,
v1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2212]) ).
tff(c_2218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2187,c_2216]) ).
tff(c_2220,plain,
! [W0_483: $ki_world,W_484: $ki_world] :
( v4(W0_483)
| ~ $ki_accessible(W_484,W0_483)
| ~ $ki_accessible($ki_local_world,W_484) ),
inference(splitRight,[status(thm)],[c_2206]) ).
tff(c_2224,plain,
( v4('#skF_1')
| ~ $ki_accessible($ki_local_world,$ki_local_world) ),
inference(resolution,[status(thm)],[c_106,c_2220]) ).
tff(c_2228,plain,
v4('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2224]) ).
tff(c_2230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2069,c_2228]) ).
tff(c_2236,plain,
! [W_485: $ki_world] :
( v4(W_485)
| ~ $ki_accessible($ki_local_world,W_485) ),
inference(splitRight,[status(thm)],[c_2059]) ).
tff(c_2240,plain,
v4($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_2236]) ).
tff(c_2247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1716,c_2240]) ).
tff(c_2248,plain,
v3($ki_local_world),
inference(splitRight,[status(thm)],[c_1715]) ).
tff(c_2249,plain,
~ v2($ki_local_world),
inference(splitRight,[status(thm)],[c_1715]) ).
tff(c_2276,plain,
! [W0_10: $ki_world,W_8: $ki_world] :
( ~ v3(W0_10)
| ~ $ki_accessible(W_8,W0_10)
| ~ $ki_accessible($ki_local_world,W_8)
| v2($ki_local_world)
| v1($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_2248,c_8]) ).
tff(c_2277,plain,
! [W0_10: $ki_world,W_8: $ki_world] :
( ~ v3(W0_10)
| ~ $ki_accessible(W_8,W0_10)
| ~ $ki_accessible($ki_local_world,W_8)
| v1($ki_local_world) ),
inference(negUnitSimplification,[status(thm)],[c_2249,c_2276]) ).
tff(c_2279,plain,
! [W0_489: $ki_world,W_490: $ki_world] :
( ~ v3(W0_489)
| ~ $ki_accessible(W_490,W0_489)
| ~ $ki_accessible($ki_local_world,W_490) ),
inference(splitLeft,[status(thm)],[c_2277]) ).
tff(c_2288,plain,
! [W_491: $ki_world] :
( ~ v3(W_491)
| ~ $ki_accessible($ki_local_world,W_491) ),
inference(resolution,[status(thm)],[c_2,c_2279]) ).
tff(c_2292,plain,
~ v3($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_2288]) ).
tff(c_2299,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2248,c_2292]) ).
tff(c_2300,plain,
v1($ki_local_world),
inference(splitRight,[status(thm)],[c_2277]) ).
tff(c_2346,plain,
! [W0_80: $ki_world,W_78: $ki_world,W_77: $ki_world] :
( ~ v1(W0_80)
| ~ $ki_accessible(W_78,W0_80)
| ~ $ki_accessible($ki_local_world,W_78)
| ~ v1(W_77)
| ~ $ki_accessible($ki_local_world,W_77)
| v2($ki_local_world) ),
inference(demodulation,[status(thm),theory(equality)],[c_2248,c_40]) ).
tff(c_2347,plain,
! [W0_80: $ki_world,W_78: $ki_world,W_77: $ki_world] :
( ~ v1(W0_80)
| ~ $ki_accessible(W_78,W0_80)
| ~ $ki_accessible($ki_local_world,W_78)
| ~ v1(W_77)
| ~ $ki_accessible($ki_local_world,W_77) ),
inference(negUnitSimplification,[status(thm)],[c_2249,c_2346]) ).
tff(c_2349,plain,
! [W_496: $ki_world] :
( ~ v1(W_496)
| ~ $ki_accessible($ki_local_world,W_496) ),
inference(splitLeft,[status(thm)],[c_2347]) ).
tff(c_2353,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_2349]) ).
tff(c_2360,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2300,c_2353]) ).
tff(c_2364,plain,
! [W0_497: $ki_world,W_498: $ki_world] :
( ~ v1(W0_497)
| ~ $ki_accessible(W_498,W0_497)
| ~ $ki_accessible($ki_local_world,W_498) ),
inference(splitRight,[status(thm)],[c_2347]) ).
tff(c_2373,plain,
! [W_499: $ki_world] :
( ~ v1(W_499)
| ~ $ki_accessible($ki_local_world,W_499) ),
inference(resolution,[status(thm)],[c_2,c_2364]) ).
tff(c_2377,plain,
~ v1($ki_local_world),
inference(resolution,[status(thm)],[c_2,c_2373]) ).
tff(c_2384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2300,c_2377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n021.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 : Thu Aug 3 15:54:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.55/2.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.22/2.48
% 6.22/2.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.51/2.55
% 6.51/2.55 Inference rules
% 6.51/2.55 ----------------------
% 6.51/2.55 #Ref : 0
% 6.51/2.55 #Sup : 309
% 6.51/2.55 #Fact : 0
% 6.51/2.55 #Define : 0
% 6.51/2.55 #Split : 81
% 6.51/2.55 #Chain : 0
% 6.51/2.55 #Close : 0
% 6.51/2.55
% 6.51/2.55 Ordering : KBO
% 6.51/2.55
% 6.51/2.55 Simplification rules
% 6.51/2.55 ----------------------
% 6.51/2.55 #Subsume : 221
% 6.51/2.55 #Demod : 361
% 6.51/2.55 #Tautology : 82
% 6.51/2.55 #SimpNegUnit : 204
% 6.51/2.55 #BackRed : 0
% 6.51/2.55
% 6.51/2.55 #Partial instantiations: 0
% 6.51/2.55 #Strategies tried : 1
% 6.51/2.55
% 6.51/2.55 Timing (in seconds)
% 6.51/2.55 ----------------------
% 6.51/2.55 Preprocessing : 0.76
% 6.51/2.55 Parsing : 0.46
% 6.51/2.55 CNF conversion : 0.05
% 6.51/2.55 Main loop : 0.62
% 6.51/2.55 Inferencing : 0.19
% 6.51/2.55 Reduction : 0.18
% 6.51/2.55 Demodulation : 0.13
% 6.51/2.55 BG Simplification : 0.06
% 6.51/2.55 Subsumption : 0.17
% 6.51/2.55 Abstraction : 0.02
% 6.51/2.55 MUC search : 0.00
% 6.51/2.55 Cooper : 0.00
% 6.51/2.55 Total : 1.53
% 6.51/2.55 Index Insertion : 0.00
% 6.51/2.55 Index Deletion : 0.00
% 6.51/2.55 Index Matching : 0.00
% 6.51/2.55 BG Taut test : 0.00
%------------------------------------------------------------------------------