TSTP Solution File: KRS175+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n002.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 10:46:03 EDT 2023
% Result : Theorem 4.75s 2.25s
% Output : CNFRefutation 5.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 443 ( 229 unt; 15 typ; 0 def)
% Number of atoms : 1213 ( 352 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1292 ( 507 ~; 773 |; 6 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 26 (; 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ xsd_string > xsd_integer > cowlThing > cowlNothing > cB > cA_and_B > cA > #nlpp > ib > ia > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cA,type,
cA: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cB,type,
cB: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(ib,type,
ib: $i ).
tff(cA_and_B,type,
cA_and_B: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(ia,type,
ia: $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_75,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_100,axiom,
cowlThing(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f_102,axiom,
cowlThing(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(f_130,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cA_and_B(X)
<=> ( ( X = ib )
| ( X = ia ) ) )
& cowlThing(ia)
& cowlThing(ib) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_93,axiom,
! [X] :
( cA_and_B(X)
<=> ( cA(X)
| cB(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_81,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
tff(f_98,axiom,
! [X] :
( cB(X)
<=> ( X = ib ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(f_86,axiom,
! [X] :
( cA(X)
<=> ( X = ia ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(c_16,plain,
! [X_15] : cowlThing(X_15),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_18,plain,
! [X_15] : ~ cowlNothing(X_15),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_38,plain,
cowlThing(ia),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_40,plain,
cowlThing(ib),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_78,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_94,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_78]) ).
tff(c_142,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_94]) ).
tff(c_185,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_142]) ).
tff(c_212,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_185]) ).
tff(c_278,plain,
~ cA_and_B('#skF_5'),
inference(splitLeft,[status(thm)],[c_212]) ).
tff(c_285,plain,
! [X_27] :
( ~ cA(X_27)
| cA_and_B(X_27) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_289,plain,
~ cA('#skF_5'),
inference(resolution,[status(thm)],[c_285,c_278]) ).
tff(c_84,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_114,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_84]) ).
tff(c_162,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_114]) ).
tff(c_205,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_162]) ).
tff(c_252,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_205]) ).
tff(c_310,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_252]) ).
tff(c_22,plain,
! [X_16] :
( xsd_string(X_16)
| xsd_integer(X_16) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_82,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_120,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_82]) ).
tff(c_168,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_120]) ).
tff(c_193,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_168]) ).
tff(c_228,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_193]) ).
tff(c_311,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_228]) ).
tff(c_314,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_22,c_311]) ).
tff(c_318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_310,c_314]) ).
tff(c_319,plain,
( cA_and_B('#skF_6')
| ( ib = '#skF_5' )
| ( ia = '#skF_5' )
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_228]) ).
tff(c_325,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_319]) ).
tff(c_320,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_228]) ).
tff(c_86,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_108,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_86]) ).
tff(c_156,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_108]) ).
tff(c_200,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_156]) ).
tff(c_242,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_200]) ).
tff(c_330,plain,
( xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_320,c_242]) ).
tff(c_331,plain,
cA_and_B('#skF_6'),
inference(splitLeft,[status(thm)],[c_330]) ).
tff(c_50,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_128,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_50]) ).
tff(c_176,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_128]) ).
tff(c_197,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_176]) ).
tff(c_236,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_197]) ).
tff(c_309,plain,
ia != '#skF_6',
inference(splitLeft,[status(thm)],[c_236]) ).
tff(c_290,plain,
! [X_28] :
( cB(X_28)
| cA(X_28)
| ~ cA_and_B(X_28) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_34,plain,
! [X_19] :
( ( ib = X_19 )
| ~ cB(X_19) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_297,plain,
! [X_28] :
( ( ib = X_28 )
| cA(X_28)
| ~ cA_and_B(X_28) ),
inference(resolution,[status(thm)],[c_290,c_34]) ).
tff(c_337,plain,
( ( ib = '#skF_6' )
| cA('#skF_6') ),
inference(resolution,[status(thm)],[c_331,c_297]) ).
tff(c_338,plain,
cA('#skF_6'),
inference(splitLeft,[status(thm)],[c_337]) ).
tff(c_24,plain,
! [X_17] :
( ( ia = X_17 )
| ~ cA(X_17) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_341,plain,
ia = '#skF_6',
inference(resolution,[status(thm)],[c_338,c_24]) ).
tff(c_345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309,c_341]) ).
tff(c_346,plain,
ib = '#skF_6',
inference(splitRight,[status(thm)],[c_337]) ).
tff(c_70,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_130,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_70]) ).
tff(c_178,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_130]) ).
tff(c_198,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_178]) ).
tff(c_238,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_198]) ).
tff(c_391,plain,
( xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_346,c_346,c_320,c_238]) ).
tff(c_392,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_391]) ).
tff(c_394,plain,
~ cA_and_B('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_278]) ).
tff(c_397,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_331,c_394]) ).
tff(c_398,plain,
( ( ia = '#skF_5' )
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_391]) ).
tff(c_400,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_398]) ).
tff(c_20,plain,
! [X_16] :
( ~ xsd_integer(X_16)
| ~ xsd_string(X_16) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_403,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_400,c_20]) ).
tff(c_407,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_325,c_403]) ).
tff(c_408,plain,
ia = '#skF_5',
inference(splitRight,[status(thm)],[c_398]) ).
tff(c_26,plain,
cA(ia),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_417,plain,
cA('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_408,c_26]) ).
tff(c_419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289,c_417]) ).
tff(c_420,plain,
( ( ib = '#skF_5' )
| ( ia = '#skF_5' )
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_330]) ).
tff(c_426,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_420]) ).
tff(c_429,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_426,c_20]) ).
tff(c_433,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_325,c_429]) ).
tff(c_434,plain,
( ( ia = '#skF_5' )
| ( ib = '#skF_5' ) ),
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_441,plain,
ib = '#skF_5',
inference(splitLeft,[status(thm)],[c_434]) ).
tff(c_36,plain,
cB(ib),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_273,plain,
! [X_25] :
( ~ cB(X_25)
| cA_and_B(X_25) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_277,plain,
cA_and_B(ib),
inference(resolution,[status(thm)],[c_36,c_273]) ).
tff(c_444,plain,
cA_and_B('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_441,c_277]) ).
tff(c_447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278,c_444]) ).
tff(c_448,plain,
ia = '#skF_5',
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_452,plain,
cA('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_448,c_26]) ).
tff(c_454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289,c_452]) ).
tff(c_455,plain,
( ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6') ),
inference(splitRight,[status(thm)],[c_319]) ).
tff(c_457,plain,
cA_and_B('#skF_6'),
inference(splitLeft,[status(thm)],[c_455]) ).
tff(c_456,plain,
~ xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_319]) ).
tff(c_461,plain,
( ( ib = '#skF_6' )
| cA('#skF_6') ),
inference(resolution,[status(thm)],[c_457,c_297]) ).
tff(c_462,plain,
cA('#skF_6'),
inference(splitLeft,[status(thm)],[c_461]) ).
tff(c_465,plain,
ia = '#skF_6',
inference(resolution,[status(thm)],[c_462,c_24]) ).
tff(c_469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309,c_465]) ).
tff(c_470,plain,
ib = '#skF_6',
inference(splitRight,[status(thm)],[c_461]) ).
tff(c_66,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_136,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_66]) ).
tff(c_184,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_136]) ).
tff(c_201,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_184]) ).
tff(c_244,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_201]) ).
tff(c_524,plain,
( xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_320,c_244]) ).
tff(c_525,plain,
( ( ia = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(negUnitSimplification,[status(thm)],[c_456,c_524]) ).
tff(c_526,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_525]) ).
tff(c_528,plain,
~ cA_and_B('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_526,c_278]) ).
tff(c_531,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_457,c_528]) ).
tff(c_532,plain,
ia = '#skF_5',
inference(splitRight,[status(thm)],[c_525]) ).
tff(c_539,plain,
cA('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_532,c_26]) ).
tff(c_541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289,c_539]) ).
tff(c_542,plain,
( ( ib = '#skF_5' )
| ( ia = '#skF_5' ) ),
inference(splitRight,[status(thm)],[c_455]) ).
tff(c_548,plain,
ia = '#skF_5',
inference(splitLeft,[status(thm)],[c_542]) ).
tff(c_551,plain,
cA('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_548,c_26]) ).
tff(c_553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289,c_551]) ).
tff(c_554,plain,
ib = '#skF_5',
inference(splitRight,[status(thm)],[c_542]) ).
tff(c_558,plain,
cA_and_B('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_554,c_277]) ).
tff(c_561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278,c_558]) ).
tff(c_562,plain,
( cA_and_B('#skF_6')
| ( ib = '#skF_5' )
| ( ia = '#skF_5' )
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_564,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_562]) ).
tff(c_563,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_72,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_106,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_72]) ).
tff(c_154,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_106]) ).
tff(c_189,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_154]) ).
tff(c_254,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_189]) ).
tff(c_566,plain,
( xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_563,c_254]) ).
tff(c_567,plain,
ib != '#skF_6',
inference(splitLeft,[status(thm)],[c_566]) ).
tff(c_88,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_104,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_88]) ).
tff(c_152,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_104]) ).
tff(c_188,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_152]) ).
tff(c_250,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_188]) ).
tff(c_582,plain,
( xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_563,c_250]) ).
tff(c_583,plain,
cA_and_B('#skF_6'),
inference(splitLeft,[status(thm)],[c_582]) ).
tff(c_586,plain,
( ( ib = '#skF_6' )
| cA('#skF_6') ),
inference(resolution,[status(thm)],[c_583,c_297]) ).
tff(c_589,plain,
cA('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_567,c_586]) ).
tff(c_592,plain,
ia = '#skF_6',
inference(resolution,[status(thm)],[c_589,c_24]) ).
tff(c_596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309,c_592]) ).
tff(c_597,plain,
( ( ib = '#skF_5' )
| ( ia = '#skF_5' )
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_582]) ).
tff(c_603,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_597]) ).
tff(c_606,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_603,c_20]) ).
tff(c_610,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_564,c_606]) ).
tff(c_611,plain,
( ( ia = '#skF_5' )
| ( ib = '#skF_5' ) ),
inference(splitRight,[status(thm)],[c_597]) ).
tff(c_618,plain,
ib = '#skF_5',
inference(splitLeft,[status(thm)],[c_611]) ).
tff(c_624,plain,
cA_and_B('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_618,c_277]) ).
tff(c_627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278,c_624]) ).
tff(c_628,plain,
ia = '#skF_5',
inference(splitRight,[status(thm)],[c_611]) ).
tff(c_632,plain,
cA('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_628,c_26]) ).
tff(c_634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289,c_632]) ).
tff(c_636,plain,
ib = '#skF_6',
inference(splitRight,[status(thm)],[c_566]) ).
tff(c_639,plain,
cA_and_B('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_636,c_277]) ).
tff(c_635,plain,
( ( ib = '#skF_5' )
| ( ia = '#skF_5' )
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_566]) ).
tff(c_660,plain,
( ( '#skF_5' = '#skF_6' )
| ( ia = '#skF_5' )
| xsd_string('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_636,c_635]) ).
tff(c_661,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_660]) ).
tff(c_667,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_661,c_20]) ).
tff(c_671,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_564,c_667]) ).
tff(c_672,plain,
( ( ia = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(splitRight,[status(thm)],[c_660]) ).
tff(c_679,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_672]) ).
tff(c_681,plain,
~ cA_and_B('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_679,c_278]) ).
tff(c_684,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_639,c_681]) ).
tff(c_685,plain,
ia = '#skF_5',
inference(splitRight,[status(thm)],[c_672]) ).
tff(c_689,plain,
cA('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_685,c_26]) ).
tff(c_691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289,c_689]) ).
tff(c_692,plain,
( ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| cA_and_B('#skF_6') ),
inference(splitRight,[status(thm)],[c_562]) ).
tff(c_694,plain,
cA_and_B('#skF_6'),
inference(splitLeft,[status(thm)],[c_692]) ).
tff(c_698,plain,
( ( ib = '#skF_6' )
| cA('#skF_6') ),
inference(resolution,[status(thm)],[c_694,c_297]) ).
tff(c_699,plain,
cA('#skF_6'),
inference(splitLeft,[status(thm)],[c_698]) ).
tff(c_703,plain,
ia = '#skF_6',
inference(resolution,[status(thm)],[c_699,c_24]) ).
tff(c_707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309,c_703]) ).
tff(c_708,plain,
ib = '#skF_6',
inference(splitRight,[status(thm)],[c_698]) ).
tff(c_725,plain,
( xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_708,c_708,c_563,c_254]) ).
tff(c_726,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_725]) ).
tff(c_728,plain,
~ cA_and_B('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_726,c_278]) ).
tff(c_731,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_694,c_728]) ).
tff(c_733,plain,
'#skF_5' != '#skF_6',
inference(splitRight,[status(thm)],[c_725]) ).
tff(c_693,plain,
~ xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_562]) ).
tff(c_68,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_132,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_68]) ).
tff(c_180,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_132]) ).
tff(c_199,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_180]) ).
tff(c_240,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_199]) ).
tff(c_770,plain,
( xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_708,c_708,c_563,c_240]) ).
tff(c_771,plain,
ia = '#skF_5',
inference(negUnitSimplification,[status(thm)],[c_733,c_693,c_770]) ).
tff(c_774,plain,
cA('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_771,c_26]) ).
tff(c_776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289,c_774]) ).
tff(c_777,plain,
( ( ib = '#skF_5' )
| ( ia = '#skF_5' ) ),
inference(splitRight,[status(thm)],[c_692]) ).
tff(c_786,plain,
ia = '#skF_5',
inference(splitLeft,[status(thm)],[c_777]) ).
tff(c_789,plain,
cA('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_786,c_26]) ).
tff(c_791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289,c_789]) ).
tff(c_792,plain,
ib = '#skF_5',
inference(splitRight,[status(thm)],[c_777]) ).
tff(c_797,plain,
cA_and_B('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_792,c_277]) ).
tff(c_800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278,c_797]) ).
tff(c_802,plain,
ia = '#skF_6',
inference(splitRight,[status(thm)],[c_236]) ).
tff(c_804,plain,
cA('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_802,c_26]) ).
tff(c_801,plain,
( ~ xsd_string('#skF_3')
| ( ib = '#skF_5' )
| ( ia = '#skF_5' )
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_236]) ).
tff(c_815,plain,
( ~ xsd_string('#skF_3')
| ( ib = '#skF_5' )
| ( '#skF_5' = '#skF_6' )
| xsd_integer('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_802,c_801]) ).
tff(c_816,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_815]) ).
tff(c_822,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_22,c_816]) ).
tff(c_52,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_126,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_52]) ).
tff(c_174,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_126]) ).
tff(c_196,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_174]) ).
tff(c_234,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_196]) ).
tff(c_841,plain,
( xsd_integer('#skF_4')
| ( '#skF_5' = '#skF_6' )
| ( ib = '#skF_5' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_802,c_802,c_822,c_234]) ).
tff(c_842,plain,
ib = '#skF_5',
inference(splitLeft,[status(thm)],[c_841]) ).
tff(c_846,plain,
cA_and_B('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_842,c_277]) ).
tff(c_849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278,c_846]) ).
tff(c_851,plain,
ib != '#skF_5',
inference(splitRight,[status(thm)],[c_841]) ).
tff(c_56,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_122,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_56]) ).
tff(c_170,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_122]) ).
tff(c_194,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_170]) ).
tff(c_230,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_194]) ).
tff(c_875,plain,
( xsd_string('#skF_4')
| ( '#skF_5' = '#skF_6' )
| ( ib = '#skF_5' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_802,c_802,c_822,c_230]) ).
tff(c_876,plain,
( xsd_string('#skF_4')
| ( '#skF_5' = '#skF_6' ) ),
inference(negUnitSimplification,[status(thm)],[c_851,c_875]) ).
tff(c_877,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_876]) ).
tff(c_879,plain,
~ cA('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_877,c_289]) ).
tff(c_883,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_804,c_879]) ).
tff(c_885,plain,
'#skF_5' != '#skF_6',
inference(splitRight,[status(thm)],[c_876]) ).
tff(c_850,plain,
( ( '#skF_5' = '#skF_6' )
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_841]) ).
tff(c_852,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_850]) ).
tff(c_854,plain,
( xsd_string('#skF_4')
| ( '#skF_5' = '#skF_6' )
| ( ib = '#skF_5' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_802,c_802,c_822,c_230]) ).
tff(c_855,plain,
( xsd_string('#skF_4')
| ( '#skF_5' = '#skF_6' ) ),
inference(negUnitSimplification,[status(thm)],[c_851,c_854]) ).
tff(c_856,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_855]) ).
tff(c_858,plain,
~ cA('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_856,c_289]) ).
tff(c_862,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_804,c_858]) ).
tff(c_863,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_855]) ).
tff(c_867,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_863,c_20]) ).
tff(c_871,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_852,c_867]) ).
tff(c_872,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_850]) ).
tff(c_886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_885,c_872]) ).
tff(c_887,plain,
( xsd_integer('#skF_4')
| ( '#skF_5' = '#skF_6' )
| ( ib = '#skF_5' ) ),
inference(splitRight,[status(thm)],[c_815]) ).
tff(c_893,plain,
ib = '#skF_5',
inference(splitLeft,[status(thm)],[c_887]) ).
tff(c_896,plain,
cA_and_B('#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_893,c_277]) ).
tff(c_899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278,c_896]) ).
tff(c_900,plain,
( ( '#skF_5' = '#skF_6' )
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_887]) ).
tff(c_902,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_900]) ).
tff(c_901,plain,
ib != '#skF_5',
inference(splitRight,[status(thm)],[c_887]) ).
tff(c_888,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_815]) ).
tff(c_54,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_124,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_54]) ).
tff(c_172,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_124]) ).
tff(c_195,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_172]) ).
tff(c_232,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ia = '#skF_5' )
| ( ib = '#skF_5' )
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_195]) ).
tff(c_929,plain,
( xsd_string('#skF_4')
| ( '#skF_5' = '#skF_6' )
| ( ib = '#skF_5' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_802,c_802,c_888,c_232]) ).
tff(c_930,plain,
( xsd_string('#skF_4')
| ( '#skF_5' = '#skF_6' ) ),
inference(negUnitSimplification,[status(thm)],[c_901,c_929]) ).
tff(c_931,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_930]) ).
tff(c_933,plain,
~ cA('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_931,c_289]) ).
tff(c_937,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_804,c_933]) ).
tff(c_938,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_930]) ).
tff(c_942,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_938,c_20]) ).
tff(c_946,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_902,c_942]) ).
tff(c_947,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_900]) ).
tff(c_950,plain,
~ cA('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_947,c_289]) ).
tff(c_954,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_804,c_950]) ).
tff(c_956,plain,
cA_and_B('#skF_5'),
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_955,plain,
( ~ xsd_string('#skF_3')
| cA_and_B('#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_964,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_955]) ).
tff(c_968,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_22,c_964]) ).
tff(c_44,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_134,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_44]) ).
tff(c_182,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_134]) ).
tff(c_190,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_182]) ).
tff(c_222,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_190]) ).
tff(c_1212,plain,
( xsd_integer('#skF_4')
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_968,c_222]) ).
tff(c_1213,plain,
ia != '#skF_6',
inference(splitLeft,[status(thm)],[c_1212]) ).
tff(c_971,plain,
! [X_40] :
( cB(X_40)
| cA(X_40)
| ~ cA_and_B(X_40) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_980,plain,
! [X_41] :
( ( ib = X_41 )
| cA(X_41)
| ~ cA_and_B(X_41) ),
inference(resolution,[status(thm)],[c_971,c_34]) ).
tff(c_991,plain,
( ( ib = '#skF_5' )
| cA('#skF_5') ),
inference(resolution,[status(thm)],[c_956,c_980]) ).
tff(c_994,plain,
cA('#skF_5'),
inference(splitLeft,[status(thm)],[c_991]) ).
tff(c_998,plain,
ia = '#skF_5',
inference(resolution,[status(thm)],[c_994,c_24]) ).
tff(c_1026,plain,
( xsd_integer('#skF_4')
| ( '#skF_5' != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_998,c_956,c_968,c_222]) ).
tff(c_1027,plain,
'#skF_5' != '#skF_6',
inference(splitLeft,[status(thm)],[c_1026]) ).
tff(c_64,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_100,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_64]) ).
tff(c_148,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_100]) ).
tff(c_207,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_148]) ).
tff(c_256,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_207]) ).
tff(c_1017,plain,
( xsd_string('#skF_4')
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_968,c_256]) ).
tff(c_1018,plain,
ib != '#skF_6',
inference(splitLeft,[status(thm)],[c_1017]) ).
tff(c_80,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_90,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_80]) ).
tff(c_138,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_90]) ).
tff(c_186,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_138]) ).
tff(c_214,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_186]) ).
tff(c_1029,plain,
( xsd_string('#skF_4')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_968,c_214]) ).
tff(c_1030,plain,
cA_and_B('#skF_6'),
inference(splitLeft,[status(thm)],[c_1029]) ).
tff(c_978,plain,
! [X_40] :
( ( ib = X_40 )
| cA(X_40)
| ~ cA_and_B(X_40) ),
inference(resolution,[status(thm)],[c_971,c_34]) ).
tff(c_1033,plain,
( ( ib = '#skF_6' )
| cA('#skF_6') ),
inference(resolution,[status(thm)],[c_1030,c_978]) ).
tff(c_1036,plain,
cA('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_1018,c_1033]) ).
tff(c_999,plain,
! [X_17] :
( ( X_17 = '#skF_5' )
| ~ cA(X_17) ),
inference(demodulation,[status(thm),theory(equality)],[c_998,c_24]) ).
tff(c_1039,plain,
'#skF_5' = '#skF_6',
inference(resolution,[status(thm)],[c_1036,c_999]) ).
tff(c_1043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1027,c_1039]) ).
tff(c_1045,plain,
~ cA_and_B('#skF_6'),
inference(splitRight,[status(thm)],[c_1029]) ).
tff(c_1044,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1029]) ).
tff(c_1055,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1044,c_20]) ).
tff(c_76,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_102,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_76]) ).
tff(c_150,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_102]) ).
tff(c_187,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_150]) ).
tff(c_216,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_187]) ).
tff(c_1057,plain,
( xsd_integer('#skF_4')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_968,c_216]) ).
tff(c_1058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1045,c_1055,c_1057]) ).
tff(c_1059,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_1026]) ).
tff(c_1062,plain,
( xsd_string('#skF_4')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_968,c_214]) ).
tff(c_1063,plain,
cA_and_B('#skF_6'),
inference(splitLeft,[status(thm)],[c_1062]) ).
tff(c_1060,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_1026]) ).
tff(c_48,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_98,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_48]) ).
tff(c_146,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_98]) ).
tff(c_204,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_146]) ).
tff(c_218,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_204]) ).
tff(c_1085,plain,
( xsd_string('#skF_4')
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1063,c_1060,c_968,c_218]) ).
tff(c_1086,plain,
ia != '#skF_6',
inference(splitLeft,[status(thm)],[c_1085]) ).
tff(c_1075,plain,
ia = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_1060,c_998]) ).
tff(c_1087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1086,c_1075]) ).
tff(c_1088,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1085]) ).
tff(c_1097,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1088,c_20]) ).
tff(c_1101,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1059,c_1097]) ).
tff(c_1102,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1062]) ).
tff(c_1113,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1102,c_20]) ).
tff(c_1117,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1059,c_1113]) ).
tff(c_1118,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1017]) ).
tff(c_1123,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1118,c_20]) ).
tff(c_1119,plain,
ib = '#skF_6',
inference(splitRight,[status(thm)],[c_1017]) ).
tff(c_60,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_118,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_60]) ).
tff(c_166,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_118]) ).
tff(c_208,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_166]) ).
tff(c_258,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_208]) ).
tff(c_1171,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1119,c_956,c_968,c_258]) ).
tff(c_1172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1123,c_1171]) ).
tff(c_1173,plain,
ib = '#skF_5',
inference(splitRight,[status(thm)],[c_991]) ).
tff(c_1215,plain,
( xsd_string('#skF_4')
| ( '#skF_5' != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1173,c_956,c_968,c_256]) ).
tff(c_1216,plain,
'#skF_5' != '#skF_6',
inference(splitLeft,[status(thm)],[c_1215]) ).
tff(c_1228,plain,
( xsd_string('#skF_4')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_968,c_214]) ).
tff(c_1229,plain,
cA_and_B('#skF_6'),
inference(splitLeft,[status(thm)],[c_1228]) ).
tff(c_1175,plain,
! [X_40] :
( ( X_40 = '#skF_5' )
| cA(X_40)
| ~ cA_and_B(X_40) ),
inference(demodulation,[status(thm),theory(equality)],[c_1173,c_978]) ).
tff(c_1232,plain,
( ( '#skF_5' = '#skF_6' )
| cA('#skF_6') ),
inference(resolution,[status(thm)],[c_1229,c_1175]) ).
tff(c_1235,plain,
cA('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_1216,c_1232]) ).
tff(c_1238,plain,
ia = '#skF_6',
inference(resolution,[status(thm)],[c_1235,c_24]) ).
tff(c_1242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1213,c_1238]) ).
tff(c_1244,plain,
~ cA_and_B('#skF_6'),
inference(splitRight,[status(thm)],[c_1228]) ).
tff(c_1243,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1228]) ).
tff(c_1248,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1243,c_20]) ).
tff(c_1256,plain,
( xsd_integer('#skF_4')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_968,c_216]) ).
tff(c_1257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1244,c_1248,c_1256]) ).
tff(c_1258,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1215]) ).
tff(c_1263,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1258,c_20]) ).
tff(c_1259,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_1215]) ).
tff(c_1270,plain,
ib = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_1259,c_1173]) ).
tff(c_1271,plain,
cA_and_B('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_1259,c_956]) ).
tff(c_1315,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1270,c_1271,c_1259,c_968,c_258]) ).
tff(c_1316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1263,c_1315]) ).
tff(c_1317,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_1212]) ).
tff(c_1318,plain,
ia = '#skF_6',
inference(splitRight,[status(thm)],[c_1212]) ).
tff(c_1345,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1318,c_956,c_968,c_218]) ).
tff(c_1348,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1345,c_20]) ).
tff(c_1352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1317,c_1348]) ).
tff(c_1353,plain,
( xsd_string('#skF_4')
| cA_and_B('#skF_6') ),
inference(splitRight,[status(thm)],[c_955]) ).
tff(c_1359,plain,
cA_and_B('#skF_6'),
inference(splitLeft,[status(thm)],[c_1353]) ).
tff(c_1360,plain,
! [X_50] :
( cB(X_50)
| cA(X_50)
| ~ cA_and_B(X_50) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_1369,plain,
! [X_51] :
( ( ib = X_51 )
| cA(X_51)
| ~ cA_and_B(X_51) ),
inference(resolution,[status(thm)],[c_1360,c_34]) ).
tff(c_1382,plain,
( ( ib = '#skF_6' )
| cA('#skF_6') ),
inference(resolution,[status(thm)],[c_1359,c_1369]) ).
tff(c_1401,plain,
cA('#skF_6'),
inference(splitLeft,[status(thm)],[c_1382]) ).
tff(c_1384,plain,
( ( ib = '#skF_5' )
| cA('#skF_5') ),
inference(resolution,[status(thm)],[c_956,c_1369]) ).
tff(c_1389,plain,
cA('#skF_5'),
inference(splitLeft,[status(thm)],[c_1384]) ).
tff(c_1393,plain,
ia = '#skF_5',
inference(resolution,[status(thm)],[c_1389,c_24]) ).
tff(c_1404,plain,
! [X_52] :
( ( X_52 = '#skF_5' )
| ~ cA(X_52) ),
inference(demodulation,[status(thm),theory(equality)],[c_1393,c_24]) ).
tff(c_1411,plain,
'#skF_5' = '#skF_6',
inference(resolution,[status(thm)],[c_1401,c_1404]) ).
tff(c_1415,plain,
ia = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_1411,c_1393]) ).
tff(c_1354,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_955]) ).
tff(c_42,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_112,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_42]) ).
tff(c_160,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_112]) ).
tff(c_203,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_160]) ).
tff(c_248,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_203]) ).
tff(c_1429,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1415,c_1359,c_1411,c_1354,c_248]) ).
tff(c_46,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_110,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_46]) ).
tff(c_158,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_110]) ).
tff(c_202,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_158]) ).
tff(c_246,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ia != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_202]) ).
tff(c_1448,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1415,c_1359,c_1411,c_1354,c_246]) ).
tff(c_1451,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1448,c_20]) ).
tff(c_1455,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1429,c_1451]) ).
tff(c_1456,plain,
ib = '#skF_6',
inference(splitRight,[status(thm)],[c_1382]) ).
tff(c_62,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_116,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_62]) ).
tff(c_164,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_116]) ).
tff(c_206,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_164]) ).
tff(c_220,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_206]) ).
tff(c_1508,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1456,c_956,c_1354,c_220]) ).
tff(c_1512,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1508,c_20]) ).
tff(c_58,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_96,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_58]) ).
tff(c_144,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_96]) ).
tff(c_191,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_144]) ).
tff(c_224,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| ( ib != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_191]) ).
tff(c_1519,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1456,c_956,c_1354,c_224]) ).
tff(c_1520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1512,c_1519]) ).
tff(c_1521,plain,
ib = '#skF_5',
inference(splitRight,[status(thm)],[c_1384]) ).
tff(c_1537,plain,
( ( '#skF_5' = '#skF_6' )
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_1521,c_1382]) ).
tff(c_1538,plain,
cA('#skF_6'),
inference(splitLeft,[status(thm)],[c_1537]) ).
tff(c_1544,plain,
ia = '#skF_6',
inference(resolution,[status(thm)],[c_1538,c_24]) ).
tff(c_1592,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1544,c_956,c_1354,c_248]) ).
tff(c_1600,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1544,c_956,c_1354,c_246]) ).
tff(c_1603,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1600,c_20]) ).
tff(c_1607,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1592,c_1603]) ).
tff(c_1608,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_1537]) ).
tff(c_1612,plain,
ib = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_1608,c_1521]) ).
tff(c_1655,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1612,c_1359,c_1608,c_1354,c_220]) ).
tff(c_1659,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1655,c_20]) ).
tff(c_1671,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1612,c_1359,c_1608,c_1354,c_224]) ).
tff(c_1672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1659,c_1671]) ).
tff(c_1674,plain,
~ cA_and_B('#skF_6'),
inference(splitRight,[status(thm)],[c_1353]) ).
tff(c_1673,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1353]) ).
tff(c_1678,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1673,c_20]) ).
tff(c_74,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_92,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_74]) ).
tff(c_140,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_92]) ).
tff(c_192,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_140]) ).
tff(c_226,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA_and_B('#skF_5')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_192]) ).
tff(c_1731,plain,
( xsd_integer('#skF_4')
| cA_and_B('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_1354,c_226]) ).
tff(c_1732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1674,c_1678,c_1731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % 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
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 20:20:31 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.75/2.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.00/2.30
% 5.00/2.30 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.00/2.35
% 5.00/2.35 Inference rules
% 5.00/2.35 ----------------------
% 5.00/2.35 #Ref : 0
% 5.00/2.35 #Sup : 188
% 5.00/2.35 #Fact : 0
% 5.00/2.35 #Define : 0
% 5.00/2.35 #Split : 63
% 5.00/2.35 #Chain : 0
% 5.00/2.35 #Close : 0
% 5.00/2.35
% 5.00/2.35 Ordering : KBO
% 5.00/2.35
% 5.00/2.35 Simplification rules
% 5.00/2.35 ----------------------
% 5.00/2.35 #Subsume : 98
% 5.00/2.35 #Demod : 554
% 5.00/2.35 #Tautology : 151
% 5.00/2.35 #SimpNegUnit : 94
% 5.00/2.35 #BackRed : 136
% 5.00/2.35
% 5.00/2.35 #Partial instantiations: 0
% 5.00/2.35 #Strategies tried : 1
% 5.00/2.35
% 5.00/2.35 Timing (in seconds)
% 5.00/2.35 ----------------------
% 5.00/2.36 Preprocessing : 0.54
% 5.00/2.36 Parsing : 0.27
% 5.00/2.36 CNF conversion : 0.04
% 5.00/2.36 Main loop : 0.60
% 5.00/2.36 Inferencing : 0.16
% 5.00/2.36 Reduction : 0.20
% 5.00/2.36 Demodulation : 0.12
% 5.00/2.36 BG Simplification : 0.04
% 5.00/2.36 Subsumption : 0.14
% 5.00/2.36 Abstraction : 0.03
% 5.00/2.36 MUC search : 0.00
% 5.00/2.36 Cooper : 0.00
% 5.00/2.36 Total : 1.27
% 5.00/2.36 Index Insertion : 0.00
% 5.00/2.36 Index Deletion : 0.00
% 5.00/2.36 Index Matching : 0.00
% 5.00/2.36 BG Taut test : 0.00
%------------------------------------------------------------------------------