TSTP Solution File: KRS145+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS145+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 : n022.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 10:45:17 EDT 2023
% Result : Theorem 5.03s 2.20s
% Output : CNFRefutation 5.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 404 ( 131 unt; 16 typ; 0 def)
% Number of atoms : 1270 ( 386 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1536 ( 654 ~; 862 |; 14 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 8 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-1 aty)
% Number of variables : 391 (; 387 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rp > xsd_string > xsd_integer > cowlThing > cowlNothing > cc > #nlpp > #skF_2 > #skF_1 > #skF_7 > #skF_10 > #skF_5 > #skF_6 > #skF_3 > #skF_9 > #skF_8 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(rp,type,
rp: ( $i * $i ) > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_76,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_145,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cc(X)
=> ( ? [Y0,Y1] :
( rp(X,Y0)
& rp(X,Y1)
& ( Y0 != Y1 ) )
& ! [Y0,Y1,Y2] :
( ( rp(X,Y0)
& rp(X,Y1)
& rp(X,Y2) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_82,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
tff(f_106,axiom,
! [X] :
( cc(X)
=> ( ! [Y0,Y1,Y2] :
( ( rp(X,Y0)
& rp(X,Y1)
& rp(X,Y2) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) )
& ? [Y0,Y1] :
( rp(X,Y0)
& rp(X,Y1)
& ( Y0 != Y1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(c_16,plain,
! [X_17] : cowlThing(X_17),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_18,plain,
! [X_17] : ~ cowlNothing(X_17),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_86,plain,
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_89,plain,
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_86]) ).
tff(c_122,plain,
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_89]) ).
tff(c_181,plain,
~ xsd_integer('#skF_5'),
inference(splitLeft,[status(thm)],[c_122]) ).
tff(c_22,plain,
! [X_18] :
( xsd_string(X_18)
| xsd_integer(X_18) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_80,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_97,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_80]) ).
tff(c_120,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_97]) ).
tff(c_182,plain,
~ xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_120]) ).
tff(c_185,plain,
xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_22,c_182]) ).
tff(c_189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181,c_185]) ).
tff(c_190,plain,
( cc('#skF_7')
| xsd_integer('#skF_6') ),
inference(splitRight,[status(thm)],[c_120]) ).
tff(c_196,plain,
xsd_integer('#skF_6'),
inference(splitLeft,[status(thm)],[c_190]) ).
tff(c_191,plain,
xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_120]) ).
tff(c_84,plain,
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_98,plain,
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_84]) ).
tff(c_140,plain,
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_98]) ).
tff(c_198,plain,
( xsd_string('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_140]) ).
tff(c_199,plain,
cc('#skF_7'),
inference(splitLeft,[status(thm)],[c_198]) ).
tff(c_24,plain,
! [X_19] :
( ( '#skF_2'(X_19) != '#skF_1'(X_19) )
| ~ cc(X_19) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_203,plain,
'#skF_2'('#skF_7') != '#skF_1'('#skF_7'),
inference(resolution,[status(thm)],[c_199,c_24]) ).
tff(c_28,plain,
! [X_19] :
( rp(X_19,'#skF_1'(X_19))
| ~ cc(X_19) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_26,plain,
! [X_19] :
( rp(X_19,'#skF_2'(X_19))
| ~ cc(X_19) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_76,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_106,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_76]) ).
tff(c_154,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_106]) ).
tff(c_226,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_154]) ).
tff(c_227,plain,
rp('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_226]) ).
tff(c_44,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_92,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_44]) ).
tff(c_128,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_92]) ).
tff(c_221,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_128]) ).
tff(c_222,plain,
'#skF_10' != '#skF_8',
inference(splitLeft,[status(thm)],[c_221]) ).
tff(c_60,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_109,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_60]) ).
tff(c_160,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_109]) ).
tff(c_231,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_160]) ).
tff(c_232,plain,
rp('#skF_7','#skF_10'),
inference(splitLeft,[status(thm)],[c_231]) ).
tff(c_52,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_90,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_52]) ).
tff(c_124,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_90]) ).
tff(c_206,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_124]) ).
tff(c_207,plain,
'#skF_9' != '#skF_8',
inference(splitLeft,[status(thm)],[c_206]) ).
tff(c_36,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_94,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_36]) ).
tff(c_132,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_94]) ).
tff(c_209,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_132]) ).
tff(c_210,plain,
'#skF_10' != '#skF_9',
inference(splitLeft,[status(thm)],[c_209]) ).
tff(c_68,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_101,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_68]) ).
tff(c_146,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_101]) ).
tff(c_234,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_146]) ).
tff(c_235,plain,
rp('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_234]) ).
tff(c_243,plain,
! [Y2_42,Y1_43,Y0_44,X_45] :
( ( Y2_42 = Y1_43 )
| ( Y2_42 = Y0_44 )
| ( Y1_43 = Y0_44 )
| ~ rp(X_45,Y2_42)
| ~ rp(X_45,Y1_43)
| ~ rp(X_45,Y0_44)
| ~ cc(X_45) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_245,plain,
! [Y1_43,Y0_44] :
( ( Y1_43 = '#skF_9' )
| ( Y0_44 = '#skF_9' )
| ( Y1_43 = Y0_44 )
| ~ rp('#skF_7',Y1_43)
| ~ rp('#skF_7',Y0_44)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_235,c_243]) ).
tff(c_265,plain,
! [Y1_46,Y0_47] :
( ( Y1_46 = '#skF_9' )
| ( Y0_47 = '#skF_9' )
| ( Y1_46 = Y0_47 )
| ~ rp('#skF_7',Y1_46)
| ~ rp('#skF_7',Y0_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_245]) ).
tff(c_269,plain,
! [Y0_47] :
( ( '#skF_10' = '#skF_9' )
| ( Y0_47 = '#skF_9' )
| ( Y0_47 = '#skF_10' )
| ~ rp('#skF_7',Y0_47) ),
inference(resolution,[status(thm)],[c_232,c_265]) ).
tff(c_292,plain,
! [Y0_48] :
( ( Y0_48 = '#skF_9' )
| ( Y0_48 = '#skF_10' )
| ~ rp('#skF_7',Y0_48) ),
inference(negUnitSimplification,[status(thm)],[c_210,c_269]) ).
tff(c_301,plain,
( ( '#skF_9' = '#skF_8' )
| ( '#skF_10' = '#skF_8' ) ),
inference(resolution,[status(thm)],[c_227,c_292]) ).
tff(c_321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_222,c_207,c_301]) ).
tff(c_322,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(splitRight,[status(thm)],[c_234]) ).
tff(c_324,plain,
xsd_string('#skF_6'),
inference(splitLeft,[status(thm)],[c_322]) ).
tff(c_20,plain,
! [X_18] :
( ~ xsd_integer(X_18)
| ~ xsd_string(X_18) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_327,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_324,c_20]) ).
tff(c_331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_327]) ).
tff(c_339,plain,
! [Y1_49,Y0_50] :
( ( Y1_49 = Y0_50 )
| ~ rp('#skF_7',Y1_49)
| ~ rp('#skF_7',Y0_50) ),
inference(splitRight,[status(thm)],[c_322]) ).
tff(c_358,plain,
! [Y0_51] :
( ( Y0_51 = '#skF_10' )
| ~ rp('#skF_7',Y0_51) ),
inference(resolution,[status(thm)],[c_232,c_339]) ).
tff(c_364,plain,
'#skF_10' = '#skF_8',
inference(resolution,[status(thm)],[c_227,c_358]) ).
tff(c_378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_222,c_364]) ).
tff(c_379,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(splitRight,[status(thm)],[c_231]) ).
tff(c_381,plain,
xsd_string('#skF_6'),
inference(splitLeft,[status(thm)],[c_379]) ).
tff(c_386,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_381,c_20]) ).
tff(c_390,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_386]) ).
tff(c_398,plain,
! [Y1_52,Y0_53] :
( ( Y1_52 = Y0_53 )
| ~ rp('#skF_7',Y1_52)
| ~ rp('#skF_7',Y0_53) ),
inference(splitRight,[status(thm)],[c_379]) ).
tff(c_414,plain,
! [Y0_54] :
( ( Y0_54 = '#skF_8' )
| ~ rp('#skF_7',Y0_54) ),
inference(resolution,[status(thm)],[c_227,c_398]) ).
tff(c_425,plain,
( ( '#skF_1'('#skF_7') = '#skF_8' )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_414]) ).
tff(c_433,plain,
'#skF_1'('#skF_7') = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_199,c_425]) ).
tff(c_421,plain,
( ( '#skF_2'('#skF_7') = '#skF_8' )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_414]) ).
tff(c_430,plain,
'#skF_2'('#skF_7') = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_199,c_421]) ).
tff(c_434,plain,
'#skF_1'('#skF_7') != '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_430,c_203]) ).
tff(c_456,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_433,c_434]) ).
tff(c_457,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(splitRight,[status(thm)],[c_226]) ).
tff(c_460,plain,
xsd_string('#skF_6'),
inference(splitLeft,[status(thm)],[c_457]) ).
tff(c_463,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_460,c_20]) ).
tff(c_467,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_463]) ).
tff(c_475,plain,
! [Y1_55,Y0_56] :
( ( Y1_55 = Y0_56 )
| ~ rp('#skF_7',Y1_55)
| ~ rp('#skF_7',Y0_56) ),
inference(splitRight,[status(thm)],[c_457]) ).
tff(c_478,plain,
! [Y0_56] :
( ( Y0_56 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_56)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_475]) ).
tff(c_488,plain,
! [Y0_57] :
( ( Y0_57 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_57) ),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_478]) ).
tff(c_496,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_488]) ).
tff(c_503,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_496]) ).
tff(c_505,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203,c_503]) ).
tff(c_506,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(splitRight,[status(thm)],[c_221]) ).
tff(c_513,plain,
xsd_string('#skF_6'),
inference(splitLeft,[status(thm)],[c_506]) ).
tff(c_516,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_513,c_20]) ).
tff(c_520,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_516]) ).
tff(c_593,plain,
! [Y1_61,Y0_62] :
( ( Y1_61 = Y0_62 )
| ~ rp('#skF_7',Y1_61)
| ~ rp('#skF_7',Y0_62) ),
inference(splitRight,[status(thm)],[c_506]) ).
tff(c_596,plain,
! [Y0_62] :
( ( Y0_62 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_62)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_593]) ).
tff(c_608,plain,
! [Y0_63] :
( ( Y0_63 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_63) ),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_596]) ).
tff(c_616,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_608]) ).
tff(c_623,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_616]) ).
tff(c_625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203,c_623]) ).
tff(c_626,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(splitRight,[status(thm)],[c_209]) ).
tff(c_632,plain,
xsd_string('#skF_6'),
inference(splitLeft,[status(thm)],[c_626]) ).
tff(c_635,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_632,c_20]) ).
tff(c_639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_635]) ).
tff(c_647,plain,
! [Y1_64,Y0_65] :
( ( Y1_64 = Y0_65 )
| ~ rp('#skF_7',Y1_64)
| ~ rp('#skF_7',Y0_65) ),
inference(splitRight,[status(thm)],[c_626]) ).
tff(c_650,plain,
! [Y0_65] :
( ( Y0_65 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_65)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_647]) ).
tff(c_660,plain,
! [Y0_66] :
( ( Y0_66 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_66) ),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_650]) ).
tff(c_668,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_660]) ).
tff(c_675,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_668]) ).
tff(c_677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203,c_675]) ).
tff(c_678,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(splitRight,[status(thm)],[c_206]) ).
tff(c_687,plain,
xsd_string('#skF_6'),
inference(splitLeft,[status(thm)],[c_678]) ).
tff(c_690,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_687,c_20]) ).
tff(c_694,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_690]) ).
tff(c_702,plain,
! [Y1_67,Y0_68] :
( ( Y1_67 = Y0_68 )
| ~ rp('#skF_7',Y1_67)
| ~ rp('#skF_7',Y0_68) ),
inference(splitRight,[status(thm)],[c_678]) ).
tff(c_705,plain,
! [Y0_68] :
( ( Y0_68 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_68)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_702]) ).
tff(c_717,plain,
! [Y0_69] :
( ( Y0_69 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_69) ),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_705]) ).
tff(c_725,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_717]) ).
tff(c_732,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_725]) ).
tff(c_734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203,c_732]) ).
tff(c_735,plain,
xsd_string('#skF_6'),
inference(splitRight,[status(thm)],[c_198]) ).
tff(c_739,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_735,c_20]) ).
tff(c_743,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_739]) ).
tff(c_744,plain,
cc('#skF_7'),
inference(splitRight,[status(thm)],[c_190]) ).
tff(c_749,plain,
'#skF_2'('#skF_7') != '#skF_1'('#skF_7'),
inference(resolution,[status(thm)],[c_744,c_24]) ).
tff(c_745,plain,
~ xsd_integer('#skF_6'),
inference(splitRight,[status(thm)],[c_190]) ).
tff(c_64,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_105,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_64]) ).
tff(c_152,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_105]) ).
tff(c_775,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_152]) ).
tff(c_776,plain,
! [Y1_34,Y0_33] :
( rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_745,c_775]) ).
tff(c_777,plain,
rp('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_776]) ).
tff(c_754,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_124]) ).
tff(c_755,plain,
'#skF_9' != '#skF_8',
inference(splitLeft,[status(thm)],[c_754]) ).
tff(c_779,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_154]) ).
tff(c_780,plain,
rp('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_779]) ).
tff(c_757,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_132]) ).
tff(c_758,plain,
'#skF_10' != '#skF_9',
inference(splitLeft,[status(thm)],[c_757]) ).
tff(c_40,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_88,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_40]) ).
tff(c_138,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_88]) ).
tff(c_768,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_138]) ).
tff(c_769,plain,
! [Y1_34,Y0_33] :
( ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_745,c_768]) ).
tff(c_770,plain,
'#skF_10' != '#skF_8',
inference(splitLeft,[status(thm)],[c_769]) ).
tff(c_56,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_112,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_56]) ).
tff(c_166,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_112]) ).
tff(c_788,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_166]) ).
tff(c_789,plain,
! [Y1_34,Y0_33] :
( rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_745,c_788]) ).
tff(c_790,plain,
rp('#skF_7','#skF_10'),
inference(splitLeft,[status(thm)],[c_789]) ).
tff(c_801,plain,
! [Y2_71,Y1_72,Y0_73,X_74] :
( ( Y2_71 = Y1_72 )
| ( Y2_71 = Y0_73 )
| ( Y1_72 = Y0_73 )
| ~ rp(X_74,Y2_71)
| ~ rp(X_74,Y1_72)
| ~ rp(X_74,Y0_73)
| ~ cc(X_74) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_803,plain,
! [Y1_72,Y0_73] :
( ( Y1_72 = '#skF_10' )
| ( Y0_73 = '#skF_10' )
| ( Y1_72 = Y0_73 )
| ~ rp('#skF_7',Y1_72)
| ~ rp('#skF_7',Y0_73)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_790,c_801]) ).
tff(c_823,plain,
! [Y1_75,Y0_76] :
( ( Y1_75 = '#skF_10' )
| ( Y0_76 = '#skF_10' )
| ( Y1_75 = Y0_76 )
| ~ rp('#skF_7',Y1_75)
| ~ rp('#skF_7',Y0_76) ),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_803]) ).
tff(c_827,plain,
! [Y0_76] :
( ( '#skF_10' = '#skF_8' )
| ( Y0_76 = '#skF_10' )
| ( Y0_76 = '#skF_8' )
| ~ rp('#skF_7',Y0_76) ),
inference(resolution,[status(thm)],[c_780,c_823]) ).
tff(c_877,plain,
! [Y0_79] :
( ( Y0_79 = '#skF_10' )
| ( Y0_79 = '#skF_8' )
| ~ rp('#skF_7',Y0_79) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_827]) ).
tff(c_886,plain,
( ( '#skF_10' = '#skF_9' )
| ( '#skF_9' = '#skF_8' ) ),
inference(resolution,[status(thm)],[c_777,c_877]) ).
tff(c_906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_755,c_758,c_886]) ).
tff(c_909,plain,
! [Y1_80,Y0_81] :
( ( Y1_80 = Y0_81 )
| ~ rp('#skF_7',Y1_80)
| ~ rp('#skF_7',Y0_81) ),
inference(splitRight,[status(thm)],[c_789]) ).
tff(c_929,plain,
! [Y0_82] :
( ( Y0_82 = '#skF_9' )
| ~ rp('#skF_7',Y0_82) ),
inference(resolution,[status(thm)],[c_777,c_909]) ).
tff(c_932,plain,
'#skF_9' = '#skF_8',
inference(resolution,[status(thm)],[c_780,c_929]) ).
tff(c_947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_755,c_932]) ).
tff(c_949,plain,
~ rp('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_779]) ).
tff(c_72,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_114,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_72]) ).
tff(c_170,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_114]) ).
tff(c_961,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_170]) ).
tff(c_963,plain,
! [Y1_83,Y0_84] :
( ( Y1_83 = Y0_84 )
| ~ rp('#skF_7',Y1_83)
| ~ rp('#skF_7',Y0_84) ),
inference(negUnitSimplification,[status(thm)],[c_949,c_745,c_961]) ).
tff(c_982,plain,
! [Y0_85] :
( ( Y0_85 = '#skF_9' )
| ~ rp('#skF_7',Y0_85) ),
inference(resolution,[status(thm)],[c_777,c_963]) ).
tff(c_993,plain,
( ( '#skF_1'('#skF_7') = '#skF_9' )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_982]) ).
tff(c_1001,plain,
'#skF_1'('#skF_7') = '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_744,c_993]) ).
tff(c_989,plain,
( ( '#skF_2'('#skF_7') = '#skF_9' )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_982]) ).
tff(c_998,plain,
'#skF_2'('#skF_7') = '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_744,c_989]) ).
tff(c_1002,plain,
'#skF_1'('#skF_7') != '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_998,c_749]) ).
tff(c_1022,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_1002]) ).
tff(c_1025,plain,
! [Y1_86,Y0_87] :
( ( Y1_86 = Y0_87 )
| ~ rp('#skF_7',Y1_86)
| ~ rp('#skF_7',Y0_87) ),
inference(splitRight,[status(thm)],[c_776]) ).
tff(c_1028,plain,
! [Y0_87] :
( ( Y0_87 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_87)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1025]) ).
tff(c_1038,plain,
! [Y0_88] :
( ( Y0_88 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_88) ),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_1028]) ).
tff(c_1046,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1038]) ).
tff(c_1053,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_1046]) ).
tff(c_1055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_749,c_1053]) ).
tff(c_1063,plain,
! [Y1_89,Y0_90] :
( ( Y1_89 = Y0_90 )
| ~ rp('#skF_7',Y1_89)
| ~ rp('#skF_7',Y0_90) ),
inference(splitRight,[status(thm)],[c_769]) ).
tff(c_1069,plain,
! [Y0_90] :
( ( Y0_90 = '#skF_1'('#skF_7') )
| ~ rp('#skF_7',Y0_90)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1063]) ).
tff(c_1078,plain,
! [Y0_91] :
( ( Y0_91 = '#skF_1'('#skF_7') )
| ~ rp('#skF_7',Y0_91) ),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_1069]) ).
tff(c_1082,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1078]) ).
tff(c_1089,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_1082]) ).
tff(c_1091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_749,c_1089]) ).
tff(c_1093,plain,
'#skF_10' = '#skF_9',
inference(splitRight,[status(thm)],[c_757]) ).
tff(c_32,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_95,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_32]) ).
tff(c_134,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_95]) ).
tff(c_1118,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1093,c_191,c_134]) ).
tff(c_1120,plain,
! [Y1_92,Y0_93] :
( ( Y1_92 = Y0_93 )
| ~ rp('#skF_7',Y1_92)
| ~ rp('#skF_7',Y0_93) ),
inference(negUnitSimplification,[status(thm)],[c_745,c_1118]) ).
tff(c_1123,plain,
! [Y0_93] :
( ( Y0_93 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_93)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1120]) ).
tff(c_1133,plain,
! [Y0_94] :
( ( Y0_94 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_94) ),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_1123]) ).
tff(c_1141,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1133]) ).
tff(c_1148,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_1141]) ).
tff(c_1150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_749,c_1148]) ).
tff(c_1152,plain,
'#skF_9' = '#skF_8',
inference(splitRight,[status(thm)],[c_754]) ).
tff(c_48,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_87,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_48]) ).
tff(c_136,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_87]) ).
tff(c_1166,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1152,c_191,c_136]) ).
tff(c_1168,plain,
! [Y1_95,Y0_96] :
( ( Y1_95 = Y0_96 )
| ~ rp('#skF_7',Y1_95)
| ~ rp('#skF_7',Y0_96) ),
inference(negUnitSimplification,[status(thm)],[c_745,c_1166]) ).
tff(c_1171,plain,
! [Y0_96] :
( ( Y0_96 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_96)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1168]) ).
tff(c_1184,plain,
! [Y0_97] :
( ( Y0_97 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_97) ),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_1171]) ).
tff(c_1192,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1184]) ).
tff(c_1199,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_1192]) ).
tff(c_1201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_749,c_1199]) ).
tff(c_1202,plain,
( cc('#skF_7')
| xsd_string('#skF_6') ),
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_1204,plain,
xsd_string('#skF_6'),
inference(splitLeft,[status(thm)],[c_1202]) ).
tff(c_1208,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_1204,c_20]) ).
tff(c_1203,plain,
xsd_integer('#skF_5'),
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_82,plain,
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_96,plain,
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_82]) ).
tff(c_118,plain,
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_96]) ).
tff(c_1212,plain,
( xsd_integer('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_118]) ).
tff(c_1213,plain,
cc('#skF_7'),
inference(negUnitSimplification,[status(thm)],[c_1208,c_1212]) ).
tff(c_1217,plain,
'#skF_2'('#skF_7') != '#skF_1'('#skF_7'),
inference(resolution,[status(thm)],[c_1213,c_24]) ).
tff(c_66,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_103,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_66]) ).
tff(c_150,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_103]) ).
tff(c_1259,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_150]) ).
tff(c_1260,plain,
! [Y1_34,Y0_33] :
( rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1208,c_1259]) ).
tff(c_1261,plain,
rp('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_1260]) ).
tff(c_34,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_108,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_34]) ).
tff(c_158,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_108]) ).
tff(c_1226,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_158]) ).
tff(c_1227,plain,
! [Y1_34,Y0_33] :
( ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1208,c_1226]) ).
tff(c_1228,plain,
'#skF_10' != '#skF_9',
inference(splitLeft,[status(thm)],[c_1227]) ).
tff(c_58,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_111,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_58]) ).
tff(c_164,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_111]) ).
tff(c_1263,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_164]) ).
tff(c_1264,plain,
! [Y1_34,Y0_33] :
( rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1208,c_1263]) ).
tff(c_1265,plain,
rp('#skF_7','#skF_10'),
inference(splitLeft,[status(thm)],[c_1264]) ).
tff(c_50,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_100,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_50]) ).
tff(c_144,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_100]) ).
tff(c_1222,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_144]) ).
tff(c_1223,plain,
! [Y1_34,Y0_33] :
( ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1208,c_1222]) ).
tff(c_1224,plain,
'#skF_9' != '#skF_8',
inference(splitLeft,[status(thm)],[c_1223]) ).
tff(c_1229,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1208,c_138]) ).
tff(c_1230,plain,
'#skF_10' != '#skF_8',
inference(splitLeft,[status(thm)],[c_1229]) ).
tff(c_74,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_110,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_74]) ).
tff(c_162,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_110]) ).
tff(c_1270,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_162]) ).
tff(c_1271,plain,
! [Y1_34,Y0_33] :
( rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1208,c_1270]) ).
tff(c_1272,plain,
rp('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_1271]) ).
tff(c_1275,plain,
! [Y2_99,Y1_100,Y0_101,X_102] :
( ( Y2_99 = Y1_100 )
| ( Y2_99 = Y0_101 )
| ( Y1_100 = Y0_101 )
| ~ rp(X_102,Y2_99)
| ~ rp(X_102,Y1_100)
| ~ rp(X_102,Y0_101)
| ~ cc(X_102) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_1277,plain,
! [Y1_100,Y0_101] :
( ( Y1_100 = '#skF_8' )
| ( Y0_101 = '#skF_8' )
| ( Y1_100 = Y0_101 )
| ~ rp('#skF_7',Y1_100)
| ~ rp('#skF_7',Y0_101)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_1272,c_1275]) ).
tff(c_1297,plain,
! [Y1_103,Y0_104] :
( ( Y1_103 = '#skF_8' )
| ( Y0_104 = '#skF_8' )
| ( Y1_103 = Y0_104 )
| ~ rp('#skF_7',Y1_103)
| ~ rp('#skF_7',Y0_104) ),
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1277]) ).
tff(c_1301,plain,
! [Y0_104] :
( ( '#skF_10' = '#skF_8' )
| ( Y0_104 = '#skF_8' )
| ( Y0_104 = '#skF_10' )
| ~ rp('#skF_7',Y0_104) ),
inference(resolution,[status(thm)],[c_1265,c_1297]) ).
tff(c_1324,plain,
! [Y0_105] :
( ( Y0_105 = '#skF_8' )
| ( Y0_105 = '#skF_10' )
| ~ rp('#skF_7',Y0_105) ),
inference(negUnitSimplification,[status(thm)],[c_1230,c_1301]) ).
tff(c_1333,plain,
( ( '#skF_9' = '#skF_8' )
| ( '#skF_10' = '#skF_9' ) ),
inference(resolution,[status(thm)],[c_1261,c_1324]) ).
tff(c_1353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1228,c_1224,c_1333]) ).
tff(c_1356,plain,
! [Y1_106,Y0_107] :
( ( Y1_106 = Y0_107 )
| ~ rp('#skF_7',Y1_106)
| ~ rp('#skF_7',Y0_107) ),
inference(splitRight,[status(thm)],[c_1271]) ).
tff(c_1375,plain,
! [Y0_108] :
( ( Y0_108 = '#skF_10' )
| ~ rp('#skF_7',Y0_108) ),
inference(resolution,[status(thm)],[c_1265,c_1356]) ).
tff(c_1381,plain,
'#skF_10' = '#skF_9',
inference(resolution,[status(thm)],[c_1261,c_1375]) ).
tff(c_1395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1228,c_1381]) ).
tff(c_1398,plain,
! [Y1_109,Y0_110] :
( ( Y1_109 = Y0_110 )
| ~ rp('#skF_7',Y1_109)
| ~ rp('#skF_7',Y0_110) ),
inference(splitRight,[status(thm)],[c_1264]) ).
tff(c_1415,plain,
! [Y0_111] :
( ( Y0_111 = '#skF_9' )
| ~ rp('#skF_7',Y0_111) ),
inference(resolution,[status(thm)],[c_1261,c_1398]) ).
tff(c_1426,plain,
( ( '#skF_1'('#skF_7') = '#skF_9' )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1415]) ).
tff(c_1434,plain,
'#skF_1'('#skF_7') = '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1426]) ).
tff(c_1422,plain,
( ( '#skF_2'('#skF_7') = '#skF_9' )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1415]) ).
tff(c_1431,plain,
'#skF_2'('#skF_7') = '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1422]) ).
tff(c_1435,plain,
'#skF_1'('#skF_7') != '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_1431,c_1217]) ).
tff(c_1455,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1434,c_1435]) ).
tff(c_1458,plain,
! [Y1_112,Y0_113] :
( ( Y1_112 = Y0_113 )
| ~ rp('#skF_7',Y1_112)
| ~ rp('#skF_7',Y0_113) ),
inference(splitRight,[status(thm)],[c_1260]) ).
tff(c_1461,plain,
! [Y0_113] :
( ( Y0_113 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_113)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1458]) ).
tff(c_1471,plain,
! [Y0_114] :
( ( Y0_114 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_114) ),
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1461]) ).
tff(c_1479,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1471]) ).
tff(c_1486,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1479]) ).
tff(c_1488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1217,c_1486]) ).
tff(c_1490,plain,
'#skF_10' = '#skF_8',
inference(splitRight,[status(thm)],[c_1229]) ).
tff(c_42,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_104,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_42]) ).
tff(c_126,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_104]) ).
tff(c_1513,plain,
! [Y1_34,Y0_33] :
( xsd_integer('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1490,c_1203,c_126]) ).
tff(c_1515,plain,
! [Y1_115,Y0_116] :
( ( Y1_115 = Y0_116 )
| ~ rp('#skF_7',Y1_115)
| ~ rp('#skF_7',Y0_116) ),
inference(negUnitSimplification,[status(thm)],[c_1208,c_1513]) ).
tff(c_1518,plain,
! [Y0_116] :
( ( Y0_116 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_116)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1515]) ).
tff(c_1528,plain,
! [Y0_117] :
( ( Y0_117 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_117) ),
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1518]) ).
tff(c_1536,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1528]) ).
tff(c_1543,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1536]) ).
tff(c_1545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1217,c_1543]) ).
tff(c_1554,plain,
! [Y1_118,Y0_119] :
( ( Y1_118 = Y0_119 )
| ~ rp('#skF_7',Y1_118)
| ~ rp('#skF_7',Y0_119) ),
inference(splitRight,[status(thm)],[c_1227]) ).
tff(c_1557,plain,
! [Y0_119] :
( ( Y0_119 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_119)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1554]) ).
tff(c_1567,plain,
! [Y0_120] :
( ( Y0_120 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_120) ),
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1557]) ).
tff(c_1575,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1567]) ).
tff(c_1582,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1575]) ).
tff(c_1584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1217,c_1582]) ).
tff(c_1591,plain,
! [Y1_121,Y0_122] :
( ( Y1_121 = Y0_122 )
| ~ rp('#skF_7',Y1_121)
| ~ rp('#skF_7',Y0_122) ),
inference(splitRight,[status(thm)],[c_1223]) ).
tff(c_1594,plain,
! [Y0_122] :
( ( Y0_122 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_122)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1591]) ).
tff(c_1604,plain,
! [Y0_123] :
( ( Y0_123 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_123) ),
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1594]) ).
tff(c_1612,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1604]) ).
tff(c_1619,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1612]) ).
tff(c_1621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1217,c_1619]) ).
tff(c_1622,plain,
cc('#skF_7'),
inference(splitRight,[status(thm)],[c_1202]) ).
tff(c_1627,plain,
'#skF_2'('#skF_7') != '#skF_1'('#skF_7'),
inference(resolution,[status(thm)],[c_1622,c_24]) ).
tff(c_1623,plain,
~ xsd_string('#skF_6'),
inference(splitRight,[status(thm)],[c_1202]) ).
tff(c_70,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_99,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_70]) ).
tff(c_142,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_99]) ).
tff(c_1674,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_142]) ).
tff(c_1675,plain,
! [Y1_34,Y0_33] :
( rp('#skF_7','#skF_9')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1623,c_1674]) ).
tff(c_1676,plain,
rp('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_1675]) ).
tff(c_38,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_93,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_38]) ).
tff(c_130,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_93]) ).
tff(c_1654,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_130]) ).
tff(c_1655,plain,
! [Y1_34,Y0_33] :
( ( '#skF_10' != '#skF_9' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1623,c_1654]) ).
tff(c_1656,plain,
'#skF_10' != '#skF_9',
inference(splitLeft,[status(thm)],[c_1655]) ).
tff(c_62,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_107,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_62]) ).
tff(c_156,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_107]) ).
tff(c_1679,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_156]) ).
tff(c_1680,plain,
! [Y1_34,Y0_33] :
( rp('#skF_7','#skF_10')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1623,c_1679]) ).
tff(c_1681,plain,
rp('#skF_7','#skF_10'),
inference(splitLeft,[status(thm)],[c_1680]) ).
tff(c_54,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_113,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_54]) ).
tff(c_168,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_113]) ).
tff(c_1643,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_168]) ).
tff(c_1644,plain,
! [Y1_34,Y0_33] :
( ( '#skF_9' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1623,c_1643]) ).
tff(c_1645,plain,
'#skF_9' != '#skF_8',
inference(splitLeft,[status(thm)],[c_1644]) ).
tff(c_1640,plain,
! [Y1_34,Y0_33] :
( ~ xsd_string('#skF_5')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1623,c_128]) ).
tff(c_1641,plain,
'#skF_10' != '#skF_8',
inference(splitLeft,[status(thm)],[c_1640]) ).
tff(c_78,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_102,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_78]) ).
tff(c_148,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_102]) ).
tff(c_1690,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_148]) ).
tff(c_1691,plain,
! [Y1_34,Y0_33] :
( rp('#skF_7','#skF_8')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(negUnitSimplification,[status(thm)],[c_1623,c_1690]) ).
tff(c_1692,plain,
rp('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_1691]) ).
tff(c_1693,plain,
! [Y2_125,Y1_126,Y0_127,X_128] :
( ( Y2_125 = Y1_126 )
| ( Y2_125 = Y0_127 )
| ( Y1_126 = Y0_127 )
| ~ rp(X_128,Y2_125)
| ~ rp(X_128,Y1_126)
| ~ rp(X_128,Y0_127)
| ~ cc(X_128) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_1695,plain,
! [Y1_126,Y0_127] :
( ( Y1_126 = '#skF_8' )
| ( Y0_127 = '#skF_8' )
| ( Y1_126 = Y0_127 )
| ~ rp('#skF_7',Y1_126)
| ~ rp('#skF_7',Y0_127)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_1692,c_1693]) ).
tff(c_1715,plain,
! [Y1_129,Y0_130] :
( ( Y1_129 = '#skF_8' )
| ( Y0_130 = '#skF_8' )
| ( Y1_129 = Y0_130 )
| ~ rp('#skF_7',Y1_129)
| ~ rp('#skF_7',Y0_130) ),
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1695]) ).
tff(c_1719,plain,
! [Y0_130] :
( ( '#skF_10' = '#skF_8' )
| ( Y0_130 = '#skF_8' )
| ( Y0_130 = '#skF_10' )
| ~ rp('#skF_7',Y0_130) ),
inference(resolution,[status(thm)],[c_1681,c_1715]) ).
tff(c_1742,plain,
! [Y0_131] :
( ( Y0_131 = '#skF_8' )
| ( Y0_131 = '#skF_10' )
| ~ rp('#skF_7',Y0_131) ),
inference(negUnitSimplification,[status(thm)],[c_1641,c_1719]) ).
tff(c_1751,plain,
( ( '#skF_9' = '#skF_8' )
| ( '#skF_10' = '#skF_9' ) ),
inference(resolution,[status(thm)],[c_1676,c_1742]) ).
tff(c_1771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1656,c_1645,c_1751]) ).
tff(c_1774,plain,
! [Y1_132,Y0_133] :
( ( Y1_132 = Y0_133 )
| ~ rp('#skF_7',Y1_132)
| ~ rp('#skF_7',Y0_133) ),
inference(splitRight,[status(thm)],[c_1691]) ).
tff(c_1793,plain,
! [Y0_134] :
( ( Y0_134 = '#skF_10' )
| ~ rp('#skF_7',Y0_134) ),
inference(resolution,[status(thm)],[c_1681,c_1774]) ).
tff(c_1799,plain,
'#skF_10' = '#skF_9',
inference(resolution,[status(thm)],[c_1676,c_1793]) ).
tff(c_1813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1656,c_1799]) ).
tff(c_1816,plain,
! [Y1_135,Y0_136] :
( ( Y1_135 = Y0_136 )
| ~ rp('#skF_7',Y1_135)
| ~ rp('#skF_7',Y0_136) ),
inference(splitRight,[status(thm)],[c_1680]) ).
tff(c_1832,plain,
! [Y0_137] :
( ( Y0_137 = '#skF_9' )
| ~ rp('#skF_7',Y0_137) ),
inference(resolution,[status(thm)],[c_1676,c_1816]) ).
tff(c_1843,plain,
( ( '#skF_1'('#skF_7') = '#skF_9' )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1832]) ).
tff(c_1851,plain,
'#skF_1'('#skF_7') = '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1843]) ).
tff(c_1839,plain,
( ( '#skF_2'('#skF_7') = '#skF_9' )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1832]) ).
tff(c_1848,plain,
'#skF_2'('#skF_7') = '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1839]) ).
tff(c_1852,plain,
'#skF_1'('#skF_7') != '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_1848,c_1627]) ).
tff(c_1875,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1851,c_1852]) ).
tff(c_1878,plain,
! [Y1_138,Y0_139] :
( ( Y1_138 = Y0_139 )
| ~ rp('#skF_7',Y1_138)
| ~ rp('#skF_7',Y0_139) ),
inference(splitRight,[status(thm)],[c_1675]) ).
tff(c_1881,plain,
! [Y0_139] :
( ( Y0_139 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_139)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1878]) ).
tff(c_1892,plain,
! [Y0_140] :
( ( Y0_140 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_140) ),
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1881]) ).
tff(c_1900,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1892]) ).
tff(c_1907,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1900]) ).
tff(c_1909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1627,c_1907]) ).
tff(c_1917,plain,
! [Y1_141,Y0_142] :
( ( Y1_141 = Y0_142 )
| ~ rp('#skF_7',Y1_141)
| ~ rp('#skF_7',Y0_142) ),
inference(splitRight,[status(thm)],[c_1655]) ).
tff(c_1920,plain,
! [Y0_142] :
( ( Y0_142 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_142)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1917]) ).
tff(c_1930,plain,
! [Y0_143] :
( ( Y0_143 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_143) ),
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1920]) ).
tff(c_1938,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1930]) ).
tff(c_1945,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1938]) ).
tff(c_1947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1627,c_1945]) ).
tff(c_1954,plain,
! [Y1_144,Y0_145] :
( ( Y1_144 = Y0_145 )
| ~ rp('#skF_7',Y1_144)
| ~ rp('#skF_7',Y0_145) ),
inference(splitRight,[status(thm)],[c_1644]) ).
tff(c_1957,plain,
! [Y0_145] :
( ( Y0_145 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_145)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_1954]) ).
tff(c_1967,plain,
! [Y0_146] :
( ( Y0_146 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_146) ),
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1957]) ).
tff(c_1975,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_1967]) ).
tff(c_1982,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1975]) ).
tff(c_1984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1627,c_1982]) ).
tff(c_1986,plain,
'#skF_10' = '#skF_8',
inference(splitRight,[status(thm)],[c_1640]) ).
tff(c_46,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_91,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_46]) ).
tff(c_116,plain,
! [Y1_34,Y0_33] :
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ( '#skF_10' != '#skF_8' )
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_91]) ).
tff(c_2011,plain,
! [Y1_34,Y0_33] :
( xsd_string('#skF_6')
| ( Y1_34 = Y0_33 )
| ~ rp('#skF_7',Y1_34)
| ~ rp('#skF_7',Y0_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_1986,c_1203,c_116]) ).
tff(c_2013,plain,
! [Y1_147,Y0_148] :
( ( Y1_147 = Y0_148 )
| ~ rp('#skF_7',Y1_147)
| ~ rp('#skF_7',Y0_148) ),
inference(negUnitSimplification,[status(thm)],[c_1623,c_2011]) ).
tff(c_2016,plain,
! [Y0_148] :
( ( Y0_148 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_148)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_26,c_2013]) ).
tff(c_2026,plain,
! [Y0_149] :
( ( Y0_149 = '#skF_2'('#skF_7') )
| ~ rp('#skF_7',Y0_149) ),
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_2016]) ).
tff(c_2034,plain,
( ( '#skF_2'('#skF_7') = '#skF_1'('#skF_7') )
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_28,c_2026]) ).
tff(c_2041,plain,
'#skF_2'('#skF_7') = '#skF_1'('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1622,c_2034]) ).
tff(c_2043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1627,c_2041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS145+1 : TPTP v8.1.2. Released v3.1.0.
% 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
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 20:05:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 5.03/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.03/2.24
% 5.03/2.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.03/2.31
% 5.03/2.31 Inference rules
% 5.03/2.31 ----------------------
% 5.03/2.31 #Ref : 0
% 5.03/2.31 #Sup : 274
% 5.03/2.31 #Fact : 0
% 5.03/2.31 #Define : 0
% 5.03/2.31 #Split : 45
% 5.03/2.31 #Chain : 0
% 5.03/2.31 #Close : 0
% 5.03/2.31
% 5.03/2.31 Ordering : KBO
% 5.03/2.31
% 5.03/2.31 Simplification rules
% 5.03/2.31 ----------------------
% 5.03/2.31 #Subsume : 94
% 5.03/2.31 #Demod : 381
% 5.03/2.31 #Tautology : 135
% 5.03/2.31 #SimpNegUnit : 134
% 5.03/2.31 #BackRed : 9
% 5.03/2.31
% 5.03/2.31 #Partial instantiations: 0
% 5.03/2.31 #Strategies tried : 1
% 5.03/2.31
% 5.03/2.31 Timing (in seconds)
% 5.03/2.31 ----------------------
% 5.03/2.31 Preprocessing : 0.54
% 5.03/2.31 Parsing : 0.26
% 5.03/2.31 CNF conversion : 0.04
% 5.03/2.31 Main loop : 0.56
% 5.03/2.31 Inferencing : 0.18
% 5.03/2.31 Reduction : 0.16
% 5.03/2.31 Demodulation : 0.10
% 5.03/2.31 BG Simplification : 0.04
% 5.03/2.31 Subsumption : 0.13
% 5.03/2.31 Abstraction : 0.03
% 5.03/2.31 MUC search : 0.00
% 5.03/2.31 Cooper : 0.00
% 5.03/2.31 Total : 1.23
% 5.03/2.31 Index Insertion : 0.00
% 5.03/2.31 Index Deletion : 0.00
% 5.03/2.31 Index Matching : 0.00
% 5.03/2.31 BG Taut test : 0.00
%------------------------------------------------------------------------------