TSTP Solution File: KRS167+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS167+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n024.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 10:46:02 EDT 2023
% Result : Theorem 6.14s 2.47s
% Output : CNFRefutation 6.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 449 ( 162 unt; 19 typ; 0 def)
% Number of atoms : 998 ( 171 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1008 ( 440 ~; 553 |; 8 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 13 >; 1 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-1 aty)
% Number of variables : 209 (; 207 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rp > xsd_string > xsd_integer > cowlThing > cowlNothing > cc2 > cc1 > #nlpp > #skF_5 > #skF_2 > #skF_4 > #skF_11 > #skF_1 > #skF_7 > #skF_10 > #skF_9 > #skF_8 > #skF_3 > #skF_6 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(cc1,type,
cc1: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(cc2,type,
cc2: $i > $o ).
tff(rp,type,
rp: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_81,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_133,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cc1(X)
<=> cc2(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_87,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(f_100,axiom,
! [X] :
( cc1(X)
<=> ( ? [Y0] : rp(X,Y0)
& ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> ( Y0 = Y1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_113,axiom,
! [X] :
( cc2(X)
<=> ( ? [Y0] : rp(X,Y0)
& ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> ( Y0 = Y1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(c_18,plain,
! [X_19] : cowlThing(X_19),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_20,plain,
! [X_19] : ~ cowlNothing(X_19),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_76,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_78,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_76]) ).
tff(c_96,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_78]) ).
tff(c_136,plain,
~ xsd_integer('#skF_9'),
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_24,plain,
! [X_20] :
( xsd_string(X_20)
| xsd_integer(X_20) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_74,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_85,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_74]) ).
tff(c_110,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_85]) ).
tff(c_137,plain,
~ xsd_string('#skF_9'),
inference(splitLeft,[status(thm)],[c_110]) ).
tff(c_140,plain,
xsd_integer('#skF_9'),
inference(resolution,[status(thm)],[c_24,c_137]) ).
tff(c_144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136,c_140]) ).
tff(c_145,plain,
( cc1('#skF_12')
| cc2('#skF_11')
| xsd_string('#skF_10') ),
inference(splitRight,[status(thm)],[c_110]) ).
tff(c_151,plain,
xsd_string('#skF_10'),
inference(splitLeft,[status(thm)],[c_145]) ).
tff(c_22,plain,
! [X_20] :
( ~ xsd_integer(X_20)
| ~ xsd_string(X_20) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_155,plain,
~ xsd_integer('#skF_10'),
inference(resolution,[status(thm)],[c_151,c_22]) ).
tff(c_146,plain,
xsd_string('#skF_9'),
inference(splitRight,[status(thm)],[c_110]) ).
tff(c_62,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_83,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_62]) ).
tff(c_106,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_83]) ).
tff(c_157,plain,
( xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_106]) ).
tff(c_158,plain,
( ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_155,c_157]) ).
tff(c_159,plain,
~ cc1('#skF_11'),
inference(splitLeft,[status(thm)],[c_158]) ).
tff(c_70,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_77,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_70]) ).
tff(c_94,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_77]) ).
tff(c_170,plain,
( xsd_integer('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_94]) ).
tff(c_171,plain,
( cc2('#skF_11')
| cc1('#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_155,c_170]) ).
tff(c_172,plain,
cc1('#skF_12'),
inference(splitLeft,[status(thm)],[c_171]) ).
tff(c_28,plain,
! [X_21] :
( rp(X_21,'#skF_3'(X_21))
| ~ cc1(X_21) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_178,plain,
! [X_47,Y0_48] :
( rp(X_47,'#skF_5'(X_47))
| cc2(X_47)
| ~ rp(X_47,Y0_48) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_184,plain,
! [X_21] :
( rp(X_21,'#skF_5'(X_21))
| cc2(X_21)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_178]) ).
tff(c_320,plain,
! [Y1_65,Y0_66,X_67] :
( ( Y1_65 = Y0_66 )
| ~ rp(X_67,Y1_65)
| ~ rp(X_67,Y0_66)
| ~ cc1(X_67) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_339,plain,
! [Y0_68,X_69] :
( ( Y0_68 = '#skF_3'(X_69) )
| ~ rp(X_69,Y0_68)
| ~ cc1(X_69) ),
inference(resolution,[status(thm)],[c_28,c_320]) ).
tff(c_370,plain,
! [X_71] :
( ( '#skF_5'(X_71) = '#skF_3'(X_71) )
| cc2(X_71)
| ~ cc1(X_71) ),
inference(resolution,[status(thm)],[c_184,c_339]) ).
tff(c_60,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_84,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_60]) ).
tff(c_108,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_84]) ).
tff(c_135,plain,
~ cc2('#skF_12'),
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_379,plain,
( ( '#skF_5'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_370,c_135]) ).
tff(c_384,plain,
'#skF_5'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_172,c_379]) ).
tff(c_245,plain,
! [X_58,Y0_59] :
( ( '#skF_5'(X_58) != '#skF_4'(X_58) )
| cc2(X_58)
| ~ rp(X_58,Y0_59) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_283,plain,
! [X_61] :
( ( '#skF_5'(X_61) != '#skF_4'(X_61) )
| cc2(X_61)
| ~ cc1(X_61) ),
inference(resolution,[status(thm)],[c_28,c_245]) ).
tff(c_286,plain,
( ( '#skF_5'('#skF_12') != '#skF_4'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_283,c_135]) ).
tff(c_289,plain,
'#skF_5'('#skF_12') != '#skF_4'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_172,c_286]) ).
tff(c_385,plain,
'#skF_4'('#skF_12') != '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_289]) ).
tff(c_389,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12')
| ~ cc1('#skF_12') ),
inference(superposition,[status(thm),theory(equality)],[c_384,c_184]) ).
tff(c_393,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_172,c_389]) ).
tff(c_394,plain,
rp('#skF_12','#skF_3'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_393]) ).
tff(c_44,plain,
! [X_31,Y0_38] :
( rp(X_31,'#skF_4'(X_31))
| cc2(X_31)
| ~ rp(X_31,Y0_38) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_433,plain,
( rp('#skF_12','#skF_4'('#skF_12'))
| cc2('#skF_12') ),
inference(resolution,[status(thm)],[c_394,c_44]) ).
tff(c_455,plain,
rp('#skF_12','#skF_4'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_433]) ).
tff(c_338,plain,
! [Y0_66,X_21] :
( ( Y0_66 = '#skF_3'(X_21) )
| ~ rp(X_21,Y0_66)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_320]) ).
tff(c_463,plain,
( ( '#skF_4'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_455,c_338]) ).
tff(c_483,plain,
'#skF_4'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_172,c_463]) ).
tff(c_485,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385,c_483]) ).
tff(c_486,plain,
cc2('#skF_11'),
inference(splitRight,[status(thm)],[c_171]) ).
tff(c_38,plain,
! [X_31] :
( rp(X_31,'#skF_6'(X_31))
| ~ cc2(X_31) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_543,plain,
! [X_84,Y0_85] :
( rp(X_84,'#skF_1'(X_84))
| cc1(X_84)
| ~ rp(X_84,Y0_85) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_554,plain,
! [X_31] :
( rp(X_31,'#skF_1'(X_31))
| cc1(X_31)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_543]) ).
tff(c_639,plain,
! [Y1_93,Y0_94,X_95] :
( ( Y1_93 = Y0_94 )
| ~ rp(X_95,Y1_93)
| ~ rp(X_95,Y0_94)
| ~ cc2(X_95) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_658,plain,
! [Y0_96,X_97] :
( ( Y0_96 = '#skF_6'(X_97) )
| ~ rp(X_97,Y0_96)
| ~ cc2(X_97) ),
inference(resolution,[status(thm)],[c_38,c_639]) ).
tff(c_729,plain,
! [X_103] :
( ( '#skF_1'(X_103) = '#skF_6'(X_103) )
| cc1(X_103)
| ~ cc2(X_103) ),
inference(resolution,[status(thm)],[c_554,c_658]) ).
tff(c_735,plain,
( ( '#skF_1'('#skF_11') = '#skF_6'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_486,c_729]) ).
tff(c_739,plain,
'#skF_1'('#skF_11') = '#skF_6'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_159,c_735]) ).
tff(c_570,plain,
! [X_87,Y0_88] :
( ( '#skF_2'(X_87) != '#skF_1'(X_87) )
| cc1(X_87)
| ~ rp(X_87,Y0_88) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_591,plain,
! [X_89] :
( ( '#skF_2'(X_89) != '#skF_1'(X_89) )
| cc1(X_89)
| ~ cc2(X_89) ),
inference(resolution,[status(thm)],[c_38,c_570]) ).
tff(c_597,plain,
( ( '#skF_2'('#skF_11') != '#skF_1'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_486,c_591]) ).
tff(c_601,plain,
'#skF_2'('#skF_11') != '#skF_1'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_159,c_597]) ).
tff(c_740,plain,
'#skF_2'('#skF_11') != '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_739,c_601]) ).
tff(c_744,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11')
| ~ cc2('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_739,c_554]) ).
tff(c_748,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_486,c_744]) ).
tff(c_749,plain,
rp('#skF_11','#skF_6'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_159,c_748]) ).
tff(c_32,plain,
! [X_21,Y0_28] :
( rp(X_21,'#skF_2'(X_21))
| cc1(X_21)
| ~ rp(X_21,Y0_28) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_769,plain,
( rp('#skF_11','#skF_2'('#skF_11'))
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_749,c_32]) ).
tff(c_794,plain,
rp('#skF_11','#skF_2'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_159,c_769]) ).
tff(c_656,plain,
! [Y0_94,X_31] :
( ( Y0_94 = '#skF_6'(X_31) )
| ~ rp(X_31,Y0_94)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_639]) ).
tff(c_806,plain,
( ( '#skF_2'('#skF_11') = '#skF_6'('#skF_11') )
| ~ cc2('#skF_11') ),
inference(resolution,[status(thm)],[c_794,c_656]) ).
tff(c_827,plain,
'#skF_2'('#skF_11') = '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_486,c_806]) ).
tff(c_829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_740,c_827]) ).
tff(c_830,plain,
cc1('#skF_12'),
inference(splitRight,[status(thm)],[c_158]) ).
tff(c_866,plain,
! [X_107,Y0_108] :
( rp(X_107,'#skF_4'(X_107))
| cc2(X_107)
| ~ rp(X_107,Y0_108) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_875,plain,
! [X_21] :
( rp(X_21,'#skF_4'(X_21))
| cc2(X_21)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_866]) ).
tff(c_997,plain,
! [Y1_122,Y0_123,X_124] :
( ( Y1_122 = Y0_123 )
| ~ rp(X_124,Y1_122)
| ~ rp(X_124,Y0_123)
| ~ cc1(X_124) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1035,plain,
! [Y0_128,X_129] :
( ( Y0_128 = '#skF_3'(X_129) )
| ~ rp(X_129,Y0_128)
| ~ cc1(X_129) ),
inference(resolution,[status(thm)],[c_28,c_997]) ).
tff(c_1087,plain,
! [X_132] :
( ( '#skF_4'(X_132) = '#skF_3'(X_132) )
| cc2(X_132)
| ~ cc1(X_132) ),
inference(resolution,[status(thm)],[c_875,c_1035]) ).
tff(c_1093,plain,
( ( '#skF_4'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_1087,c_135]) ).
tff(c_1097,plain,
'#skF_4'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_830,c_1093]) ).
tff(c_906,plain,
! [X_113,Y0_114] :
( ( '#skF_5'(X_113) != '#skF_4'(X_113) )
| cc2(X_113)
| ~ rp(X_113,Y0_114) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_927,plain,
! [X_115] :
( ( '#skF_5'(X_115) != '#skF_4'(X_115) )
| cc2(X_115)
| ~ cc1(X_115) ),
inference(resolution,[status(thm)],[c_28,c_906]) ).
tff(c_930,plain,
( ( '#skF_5'('#skF_12') != '#skF_4'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_927,c_135]) ).
tff(c_933,plain,
'#skF_5'('#skF_12') != '#skF_4'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_830,c_930]) ).
tff(c_1098,plain,
'#skF_5'('#skF_12') != '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_1097,c_933]) ).
tff(c_1102,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12')
| ~ cc1('#skF_12') ),
inference(superposition,[status(thm),theory(equality)],[c_1097,c_875]) ).
tff(c_1106,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_830,c_1102]) ).
tff(c_1107,plain,
rp('#skF_12','#skF_3'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_1106]) ).
tff(c_42,plain,
! [X_31,Y0_38] :
( rp(X_31,'#skF_5'(X_31))
| cc2(X_31)
| ~ rp(X_31,Y0_38) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1132,plain,
( rp('#skF_12','#skF_5'('#skF_12'))
| cc2('#skF_12') ),
inference(resolution,[status(thm)],[c_1107,c_42]) ).
tff(c_1156,plain,
rp('#skF_12','#skF_5'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_1132]) ).
tff(c_1015,plain,
! [Y0_123,X_21] :
( ( Y0_123 = '#skF_3'(X_21) )
| ~ rp(X_21,Y0_123)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_997]) ).
tff(c_1162,plain,
( ( '#skF_5'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_1156,c_1015]) ).
tff(c_1184,plain,
'#skF_5'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_830,c_1162]) ).
tff(c_1186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1098,c_1184]) ).
tff(c_1187,plain,
( cc2('#skF_11')
| cc1('#skF_12') ),
inference(splitRight,[status(thm)],[c_145]) ).
tff(c_1193,plain,
cc1('#skF_12'),
inference(splitLeft,[status(thm)],[c_1187]) ).
tff(c_1286,plain,
! [X_145,Y0_146] :
( rp(X_145,'#skF_4'(X_145))
| cc2(X_145)
| ~ rp(X_145,Y0_146) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1301,plain,
! [X_21] :
( rp(X_21,'#skF_4'(X_21))
| cc2(X_21)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_1286]) ).
tff(c_1405,plain,
! [Y1_157,Y0_158,X_159] :
( ( Y1_157 = Y0_158 )
| ~ rp(X_159,Y1_157)
| ~ rp(X_159,Y0_158)
| ~ cc1(X_159) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1424,plain,
! [Y0_160,X_161] :
( ( Y0_160 = '#skF_3'(X_161) )
| ~ rp(X_161,Y0_160)
| ~ cc1(X_161) ),
inference(resolution,[status(thm)],[c_28,c_1405]) ).
tff(c_1455,plain,
! [X_163] :
( ( '#skF_4'(X_163) = '#skF_3'(X_163) )
| cc2(X_163)
| ~ cc1(X_163) ),
inference(resolution,[status(thm)],[c_1301,c_1424]) ).
tff(c_1467,plain,
( ( '#skF_4'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_1455,c_135]) ).
tff(c_1473,plain,
'#skF_4'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_1193,c_1467]) ).
tff(c_1319,plain,
! [X_148,Y0_149] :
( ( '#skF_5'(X_148) != '#skF_4'(X_148) )
| cc2(X_148)
| ~ rp(X_148,Y0_149) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1344,plain,
! [X_150] :
( ( '#skF_5'(X_150) != '#skF_4'(X_150) )
| cc2(X_150)
| ~ cc1(X_150) ),
inference(resolution,[status(thm)],[c_28,c_1319]) ).
tff(c_1350,plain,
( ( '#skF_5'('#skF_12') != '#skF_4'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_1344,c_135]) ).
tff(c_1354,plain,
'#skF_5'('#skF_12') != '#skF_4'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_1193,c_1350]) ).
tff(c_1474,plain,
'#skF_5'('#skF_12') != '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_1473,c_1354]) ).
tff(c_1478,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12')
| ~ cc1('#skF_12') ),
inference(superposition,[status(thm),theory(equality)],[c_1473,c_1301]) ).
tff(c_1482,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_1193,c_1478]) ).
tff(c_1483,plain,
rp('#skF_12','#skF_3'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_1482]) ).
tff(c_1501,plain,
( rp('#skF_12','#skF_5'('#skF_12'))
| cc2('#skF_12') ),
inference(resolution,[status(thm)],[c_1483,c_42]) ).
tff(c_1526,plain,
rp('#skF_12','#skF_5'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_1501]) ).
tff(c_1423,plain,
! [Y0_158,X_21] :
( ( Y0_158 = '#skF_3'(X_21) )
| ~ rp(X_21,Y0_158)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_1405]) ).
tff(c_1535,plain,
( ( '#skF_5'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_1526,c_1423]) ).
tff(c_1559,plain,
'#skF_5'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_1193,c_1535]) ).
tff(c_1561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1474,c_1559]) ).
tff(c_1563,plain,
~ cc1('#skF_12'),
inference(splitRight,[status(thm)],[c_1187]) ).
tff(c_1188,plain,
~ xsd_string('#skF_10'),
inference(splitRight,[status(thm)],[c_145]) ).
tff(c_66,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_90,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_66]) ).
tff(c_120,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_90]) ).
tff(c_1568,plain,
( xsd_string('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_120]) ).
tff(c_1569,plain,
~ cc1('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_1563,c_1188,c_1568]) ).
tff(c_1562,plain,
cc2('#skF_11'),
inference(splitRight,[status(thm)],[c_1187]) ).
tff(c_1597,plain,
! [X_167,Y0_168] :
( rp(X_167,'#skF_1'(X_167))
| cc1(X_167)
| ~ rp(X_167,Y0_168) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1605,plain,
! [X_31] :
( rp(X_31,'#skF_1'(X_31))
| cc1(X_31)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_1597]) ).
tff(c_1732,plain,
! [Y1_182,Y0_183,X_184] :
( ( Y1_182 = Y0_183 )
| ~ rp(X_184,Y1_182)
| ~ rp(X_184,Y0_183)
| ~ cc2(X_184) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1751,plain,
! [Y0_185,X_186] :
( ( Y0_185 = '#skF_6'(X_186) )
| ~ rp(X_186,Y0_185)
| ~ cc2(X_186) ),
inference(resolution,[status(thm)],[c_38,c_1732]) ).
tff(c_1777,plain,
! [X_187] :
( ( '#skF_1'(X_187) = '#skF_6'(X_187) )
| cc1(X_187)
| ~ cc2(X_187) ),
inference(resolution,[status(thm)],[c_1605,c_1751]) ).
tff(c_1783,plain,
( ( '#skF_1'('#skF_11') = '#skF_6'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_1562,c_1777]) ).
tff(c_1787,plain,
'#skF_1'('#skF_11') = '#skF_6'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_1569,c_1783]) ).
tff(c_1614,plain,
! [X_170,Y0_171] :
( ( '#skF_2'(X_170) != '#skF_1'(X_170) )
| cc1(X_170)
| ~ rp(X_170,Y0_171) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1631,plain,
! [X_172] :
( ( '#skF_2'(X_172) != '#skF_1'(X_172) )
| cc1(X_172)
| ~ cc2(X_172) ),
inference(resolution,[status(thm)],[c_38,c_1614]) ).
tff(c_1634,plain,
( ( '#skF_2'('#skF_11') != '#skF_1'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_1562,c_1631]) ).
tff(c_1637,plain,
'#skF_2'('#skF_11') != '#skF_1'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_1569,c_1634]) ).
tff(c_1788,plain,
'#skF_2'('#skF_11') != '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_1787,c_1637]) ).
tff(c_1792,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11')
| ~ cc2('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_1787,c_1605]) ).
tff(c_1796,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_1562,c_1792]) ).
tff(c_1797,plain,
rp('#skF_11','#skF_6'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_1569,c_1796]) ).
tff(c_1826,plain,
( rp('#skF_11','#skF_2'('#skF_11'))
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_1797,c_32]) ).
tff(c_1849,plain,
rp('#skF_11','#skF_2'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_1569,c_1826]) ).
tff(c_1749,plain,
! [Y0_183,X_31] :
( ( Y0_183 = '#skF_6'(X_31) )
| ~ rp(X_31,Y0_183)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_1732]) ).
tff(c_1866,plain,
( ( '#skF_2'('#skF_11') = '#skF_6'('#skF_11') )
| ~ cc2('#skF_11') ),
inference(resolution,[status(thm)],[c_1849,c_1749]) ).
tff(c_1886,plain,
'#skF_2'('#skF_11') = '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_1562,c_1866]) ).
tff(c_1888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1788,c_1886]) ).
tff(c_1889,plain,
( cc1('#skF_12')
| cc2('#skF_11')
| xsd_string('#skF_10') ),
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_1891,plain,
xsd_string('#skF_10'),
inference(splitLeft,[status(thm)],[c_1889]) ).
tff(c_1895,plain,
~ xsd_integer('#skF_10'),
inference(resolution,[status(thm)],[c_1891,c_22]) ).
tff(c_1897,plain,
( ~ xsd_string('#skF_9')
| ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_1895,c_106]) ).
tff(c_1898,plain,
~ cc1('#skF_11'),
inference(splitLeft,[status(thm)],[c_1897]) ).
tff(c_1890,plain,
xsd_integer('#skF_9'),
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_72,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_79,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_72]) ).
tff(c_98,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_79]) ).
tff(c_1922,plain,
( xsd_integer('#skF_10')
| cc2('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_1890,c_98]) ).
tff(c_1923,plain,
( cc2('#skF_11')
| cc1('#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_1895,c_1922]) ).
tff(c_1924,plain,
cc1('#skF_12'),
inference(splitLeft,[status(thm)],[c_1923]) ).
tff(c_2020,plain,
! [X_205,Y0_206] :
( rp(X_205,'#skF_5'(X_205))
| cc2(X_205)
| ~ rp(X_205,Y0_206) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_2035,plain,
! [X_21] :
( rp(X_21,'#skF_5'(X_21))
| cc2(X_21)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_2020]) ).
tff(c_2123,plain,
! [Y1_216,Y0_217,X_218] :
( ( Y1_216 = Y0_217 )
| ~ rp(X_218,Y1_216)
| ~ rp(X_218,Y0_217)
| ~ cc1(X_218) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_2142,plain,
! [Y0_219,X_220] :
( ( Y0_219 = '#skF_3'(X_220) )
| ~ rp(X_220,Y0_219)
| ~ cc1(X_220) ),
inference(resolution,[status(thm)],[c_28,c_2123]) ).
tff(c_2173,plain,
! [X_222] :
( ( '#skF_5'(X_222) = '#skF_3'(X_222) )
| cc2(X_222)
| ~ cc1(X_222) ),
inference(resolution,[status(thm)],[c_2035,c_2142]) ).
tff(c_2188,plain,
( ( '#skF_5'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_2173,c_135]) ).
tff(c_2195,plain,
'#skF_5'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_1924,c_2188]) ).
tff(c_1999,plain,
! [X_203,Y0_204] :
( ( '#skF_5'(X_203) != '#skF_4'(X_203) )
| cc2(X_203)
| ~ rp(X_203,Y0_204) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_2036,plain,
! [X_207] :
( ( '#skF_5'(X_207) != '#skF_4'(X_207) )
| cc2(X_207)
| ~ cc1(X_207) ),
inference(resolution,[status(thm)],[c_28,c_1999]) ).
tff(c_2042,plain,
( ( '#skF_5'('#skF_12') != '#skF_4'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_2036,c_135]) ).
tff(c_2046,plain,
'#skF_5'('#skF_12') != '#skF_4'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_1924,c_2042]) ).
tff(c_2196,plain,
'#skF_4'('#skF_12') != '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_2195,c_2046]) ).
tff(c_2200,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12')
| ~ cc1('#skF_12') ),
inference(superposition,[status(thm),theory(equality)],[c_2195,c_2035]) ).
tff(c_2204,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_1924,c_2200]) ).
tff(c_2205,plain,
rp('#skF_12','#skF_3'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_2204]) ).
tff(c_2223,plain,
( rp('#skF_12','#skF_4'('#skF_12'))
| cc2('#skF_12') ),
inference(resolution,[status(thm)],[c_2205,c_44]) ).
tff(c_2248,plain,
rp('#skF_12','#skF_4'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_2223]) ).
tff(c_2141,plain,
! [Y0_217,X_21] :
( ( Y0_217 = '#skF_3'(X_21) )
| ~ rp(X_21,Y0_217)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_2123]) ).
tff(c_2257,plain,
( ( '#skF_4'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_2248,c_2141]) ).
tff(c_2281,plain,
'#skF_4'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_1924,c_2257]) ).
tff(c_2283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2196,c_2281]) ).
tff(c_2284,plain,
cc2('#skF_11'),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_2287,plain,
! [X_223,Y0_224] :
( rp(X_223,'#skF_1'(X_223))
| cc1(X_223)
| ~ rp(X_223,Y0_224) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_2292,plain,
! [X_31] :
( rp(X_31,'#skF_1'(X_31))
| cc1(X_31)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_2287]) ).
tff(c_2433,plain,
! [Y1_241,Y0_242,X_243] :
( ( Y1_241 = Y0_242 )
| ~ rp(X_243,Y1_241)
| ~ rp(X_243,Y0_242)
| ~ cc2(X_243) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_2452,plain,
! [Y0_244,X_245] :
( ( Y0_244 = '#skF_6'(X_245) )
| ~ rp(X_245,Y0_244)
| ~ cc2(X_245) ),
inference(resolution,[status(thm)],[c_38,c_2433]) ).
tff(c_2487,plain,
! [X_247] :
( ( '#skF_1'(X_247) = '#skF_6'(X_247) )
| cc1(X_247)
| ~ cc2(X_247) ),
inference(resolution,[status(thm)],[c_2292,c_2452]) ).
tff(c_2493,plain,
( ( '#skF_1'('#skF_11') = '#skF_6'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_2284,c_2487]) ).
tff(c_2497,plain,
'#skF_1'('#skF_11') = '#skF_6'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_1898,c_2493]) ).
tff(c_2338,plain,
! [X_232,Y0_233] :
( ( '#skF_2'(X_232) != '#skF_1'(X_232) )
| cc1(X_232)
| ~ rp(X_232,Y0_233) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_2375,plain,
! [X_236] :
( ( '#skF_2'(X_236) != '#skF_1'(X_236) )
| cc1(X_236)
| ~ cc2(X_236) ),
inference(resolution,[status(thm)],[c_38,c_2338]) ).
tff(c_2378,plain,
( ( '#skF_2'('#skF_11') != '#skF_1'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_2284,c_2375]) ).
tff(c_2381,plain,
'#skF_2'('#skF_11') != '#skF_1'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_1898,c_2378]) ).
tff(c_2498,plain,
'#skF_2'('#skF_11') != '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_2497,c_2381]) ).
tff(c_2502,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11')
| ~ cc2('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_2497,c_2292]) ).
tff(c_2506,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_2284,c_2502]) ).
tff(c_2507,plain,
rp('#skF_11','#skF_6'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_1898,c_2506]) ).
tff(c_2544,plain,
( rp('#skF_11','#skF_2'('#skF_11'))
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_2507,c_32]) ).
tff(c_2566,plain,
rp('#skF_11','#skF_2'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_1898,c_2544]) ).
tff(c_2450,plain,
! [Y0_242,X_31] :
( ( Y0_242 = '#skF_6'(X_31) )
| ~ rp(X_31,Y0_242)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_2433]) ).
tff(c_2576,plain,
( ( '#skF_2'('#skF_11') = '#skF_6'('#skF_11') )
| ~ cc2('#skF_11') ),
inference(resolution,[status(thm)],[c_2566,c_2450]) ).
tff(c_2596,plain,
'#skF_2'('#skF_11') = '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_2284,c_2576]) ).
tff(c_2598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2498,c_2596]) ).
tff(c_2600,plain,
cc1('#skF_11'),
inference(splitRight,[status(thm)],[c_1897]) ).
tff(c_64,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_80,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_64]) ).
tff(c_100,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_80]) ).
tff(c_2616,plain,
( xsd_integer('#skF_10')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_2600,c_1890,c_100]) ).
tff(c_2617,plain,
cc1('#skF_12'),
inference(negUnitSimplification,[status(thm)],[c_1895,c_2616]) ).
tff(c_2735,plain,
! [X_266,Y0_267] :
( rp(X_266,'#skF_4'(X_266))
| cc2(X_266)
| ~ rp(X_266,Y0_267) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_2750,plain,
! [X_21] :
( rp(X_21,'#skF_4'(X_21))
| cc2(X_21)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_2735]) ).
tff(c_2832,plain,
! [Y1_277,Y0_278,X_279] :
( ( Y1_277 = Y0_278 )
| ~ rp(X_279,Y1_277)
| ~ rp(X_279,Y0_278)
| ~ cc1(X_279) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_2851,plain,
! [Y0_280,X_281] :
( ( Y0_280 = '#skF_3'(X_281) )
| ~ rp(X_281,Y0_280)
| ~ cc1(X_281) ),
inference(resolution,[status(thm)],[c_28,c_2832]) ).
tff(c_2877,plain,
! [X_282] :
( ( '#skF_4'(X_282) = '#skF_3'(X_282) )
| cc2(X_282)
| ~ cc1(X_282) ),
inference(resolution,[status(thm)],[c_2750,c_2851]) ).
tff(c_2892,plain,
( ( '#skF_4'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_2877,c_135]) ).
tff(c_2899,plain,
'#skF_4'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_2617,c_2892]) ).
tff(c_2703,plain,
! [X_263,Y0_264] :
( ( '#skF_5'(X_263) != '#skF_4'(X_263) )
| cc2(X_263)
| ~ rp(X_263,Y0_264) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_2724,plain,
! [X_265] :
( ( '#skF_5'(X_265) != '#skF_4'(X_265) )
| cc2(X_265)
| ~ cc1(X_265) ),
inference(resolution,[status(thm)],[c_28,c_2703]) ).
tff(c_2730,plain,
( ( '#skF_5'('#skF_12') != '#skF_4'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_2724,c_135]) ).
tff(c_2734,plain,
'#skF_5'('#skF_12') != '#skF_4'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_2617,c_2730]) ).
tff(c_2900,plain,
'#skF_5'('#skF_12') != '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_2899,c_2734]) ).
tff(c_2904,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12')
| ~ cc1('#skF_12') ),
inference(superposition,[status(thm),theory(equality)],[c_2899,c_2750]) ).
tff(c_2908,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_2617,c_2904]) ).
tff(c_2909,plain,
rp('#skF_12','#skF_3'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_2908]) ).
tff(c_2934,plain,
( rp('#skF_12','#skF_5'('#skF_12'))
| cc2('#skF_12') ),
inference(resolution,[status(thm)],[c_2909,c_42]) ).
tff(c_2958,plain,
rp('#skF_12','#skF_5'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_2934]) ).
tff(c_2850,plain,
! [Y0_278,X_21] :
( ( Y0_278 = '#skF_3'(X_21) )
| ~ rp(X_21,Y0_278)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_2832]) ).
tff(c_2961,plain,
( ( '#skF_5'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_2958,c_2850]) ).
tff(c_2985,plain,
'#skF_5'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_2617,c_2961]) ).
tff(c_2987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2900,c_2985]) ).
tff(c_2988,plain,
( cc2('#skF_11')
| cc1('#skF_12') ),
inference(splitRight,[status(thm)],[c_1889]) ).
tff(c_2994,plain,
cc1('#skF_12'),
inference(splitLeft,[status(thm)],[c_2988]) ).
tff(c_3122,plain,
! [X_298,Y0_299] :
( rp(X_298,'#skF_5'(X_298))
| cc2(X_298)
| ~ rp(X_298,Y0_299) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_3137,plain,
! [X_21] :
( rp(X_21,'#skF_5'(X_21))
| cc2(X_21)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_3122]) ).
tff(c_3209,plain,
! [Y1_307,Y0_308,X_309] :
( ( Y1_307 = Y0_308 )
| ~ rp(X_309,Y1_307)
| ~ rp(X_309,Y0_308)
| ~ cc1(X_309) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_3228,plain,
! [Y0_310,X_311] :
( ( Y0_310 = '#skF_3'(X_311) )
| ~ rp(X_311,Y0_310)
| ~ cc1(X_311) ),
inference(resolution,[status(thm)],[c_28,c_3209]) ).
tff(c_3259,plain,
! [X_313] :
( ( '#skF_5'(X_313) = '#skF_3'(X_313) )
| cc2(X_313)
| ~ cc1(X_313) ),
inference(resolution,[status(thm)],[c_3137,c_3228]) ).
tff(c_3271,plain,
( ( '#skF_5'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_3259,c_135]) ).
tff(c_3277,plain,
'#skF_5'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_2994,c_3271]) ).
tff(c_3028,plain,
! [X_286,Y0_287] :
( ( '#skF_5'(X_286) != '#skF_4'(X_286) )
| cc2(X_286)
| ~ rp(X_286,Y0_287) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_3041,plain,
! [X_288] :
( ( '#skF_5'(X_288) != '#skF_4'(X_288) )
| cc2(X_288)
| ~ cc1(X_288) ),
inference(resolution,[status(thm)],[c_28,c_3028]) ).
tff(c_3044,plain,
( ( '#skF_5'('#skF_12') != '#skF_4'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_3041,c_135]) ).
tff(c_3047,plain,
'#skF_5'('#skF_12') != '#skF_4'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_2994,c_3044]) ).
tff(c_3278,plain,
'#skF_4'('#skF_12') != '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_3277,c_3047]) ).
tff(c_3282,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12')
| ~ cc1('#skF_12') ),
inference(superposition,[status(thm),theory(equality)],[c_3277,c_3137]) ).
tff(c_3286,plain,
( rp('#skF_12','#skF_3'('#skF_12'))
| cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_2994,c_3282]) ).
tff(c_3287,plain,
rp('#skF_12','#skF_3'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_3286]) ).
tff(c_3302,plain,
( rp('#skF_12','#skF_4'('#skF_12'))
| cc2('#skF_12') ),
inference(resolution,[status(thm)],[c_3287,c_44]) ).
tff(c_3327,plain,
rp('#skF_12','#skF_4'('#skF_12')),
inference(negUnitSimplification,[status(thm)],[c_135,c_3302]) ).
tff(c_3227,plain,
! [Y0_308,X_21] :
( ( Y0_308 = '#skF_3'(X_21) )
| ~ rp(X_21,Y0_308)
| ~ cc1(X_21) ),
inference(resolution,[status(thm)],[c_28,c_3209]) ).
tff(c_3339,plain,
( ( '#skF_4'('#skF_12') = '#skF_3'('#skF_12') )
| ~ cc1('#skF_12') ),
inference(resolution,[status(thm)],[c_3327,c_3227]) ).
tff(c_3363,plain,
'#skF_4'('#skF_12') = '#skF_3'('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_2994,c_3339]) ).
tff(c_3365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3278,c_3363]) ).
tff(c_3367,plain,
~ cc1('#skF_12'),
inference(splitRight,[status(thm)],[c_2988]) ).
tff(c_2989,plain,
~ xsd_string('#skF_10'),
inference(splitRight,[status(thm)],[c_1889]) ).
tff(c_68,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_87,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_68]) ).
tff(c_114,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_87]) ).
tff(c_3705,plain,
( xsd_string('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_1890,c_114]) ).
tff(c_3706,plain,
~ cc1('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_3367,c_2989,c_3705]) ).
tff(c_3378,plain,
( ~ xsd_string('#skF_9')
| ~ cc1('#skF_11') ),
inference(negUnitSimplification,[status(thm)],[c_3367,c_2989,c_120]) ).
tff(c_3379,plain,
~ cc1('#skF_11'),
inference(splitLeft,[status(thm)],[c_3378]) ).
tff(c_3366,plain,
cc2('#skF_11'),
inference(splitRight,[status(thm)],[c_2988]) ).
tff(c_3394,plain,
! [X_314,Y0_315] :
( rp(X_314,'#skF_1'(X_314))
| cc1(X_314)
| ~ rp(X_314,Y0_315) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_3399,plain,
! [X_31] :
( rp(X_31,'#skF_1'(X_31))
| cc1(X_31)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_3394]) ).
tff(c_3540,plain,
! [Y1_332,Y0_333,X_334] :
( ( Y1_332 = Y0_333 )
| ~ rp(X_334,Y1_332)
| ~ rp(X_334,Y0_333)
| ~ cc2(X_334) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_3559,plain,
! [Y0_335,X_336] :
( ( Y0_335 = '#skF_6'(X_336) )
| ~ rp(X_336,Y0_335)
| ~ cc2(X_336) ),
inference(resolution,[status(thm)],[c_38,c_3540]) ).
tff(c_3585,plain,
! [X_337] :
( ( '#skF_1'(X_337) = '#skF_6'(X_337) )
| cc1(X_337)
| ~ cc2(X_337) ),
inference(resolution,[status(thm)],[c_3399,c_3559]) ).
tff(c_3591,plain,
( ( '#skF_1'('#skF_11') = '#skF_6'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_3366,c_3585]) ).
tff(c_3595,plain,
'#skF_1'('#skF_11') = '#skF_6'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_3379,c_3591]) ).
tff(c_3504,plain,
! [X_329,Y0_330] :
( ( '#skF_2'(X_329) != '#skF_1'(X_329) )
| cc1(X_329)
| ~ rp(X_329,Y0_330) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_3529,plain,
! [X_331] :
( ( '#skF_2'(X_331) != '#skF_1'(X_331) )
| cc1(X_331)
| ~ cc2(X_331) ),
inference(resolution,[status(thm)],[c_38,c_3504]) ).
tff(c_3535,plain,
( ( '#skF_2'('#skF_11') != '#skF_1'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_3366,c_3529]) ).
tff(c_3539,plain,
'#skF_2'('#skF_11') != '#skF_1'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_3379,c_3535]) ).
tff(c_3596,plain,
'#skF_2'('#skF_11') != '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_3595,c_3539]) ).
tff(c_3600,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11')
| ~ cc2('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_3595,c_3399]) ).
tff(c_3604,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_3366,c_3600]) ).
tff(c_3605,plain,
rp('#skF_11','#skF_6'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_3379,c_3604]) ).
tff(c_3637,plain,
( rp('#skF_11','#skF_2'('#skF_11'))
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_3605,c_32]) ).
tff(c_3660,plain,
rp('#skF_11','#skF_2'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_3379,c_3637]) ).
tff(c_3557,plain,
! [Y0_333,X_31] :
( ( Y0_333 = '#skF_6'(X_31) )
| ~ rp(X_31,Y0_333)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_3540]) ).
tff(c_3674,plain,
( ( '#skF_2'('#skF_11') = '#skF_6'('#skF_11') )
| ~ cc2('#skF_11') ),
inference(resolution,[status(thm)],[c_3660,c_3557]) ).
tff(c_3694,plain,
'#skF_2'('#skF_11') = '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_3366,c_3674]) ).
tff(c_3696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3596,c_3694]) ).
tff(c_3698,plain,
cc1('#skF_11'),
inference(splitRight,[status(thm)],[c_3378]) ).
tff(c_3707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3706,c_3698]) ).
tff(c_3708,plain,
( ~ xsd_integer('#skF_9')
| cc2('#skF_11')
| xsd_string('#skF_10') ),
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_3710,plain,
~ xsd_integer('#skF_9'),
inference(splitLeft,[status(thm)],[c_3708]) ).
tff(c_3709,plain,
cc2('#skF_12'),
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_50,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_92,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_50]) ).
tff(c_124,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_92]) ).
tff(c_3712,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_124]) ).
tff(c_3713,plain,
~ cc1('#skF_11'),
inference(splitLeft,[status(thm)],[c_3712]) ).
tff(c_3714,plain,
~ xsd_string('#skF_9'),
inference(splitLeft,[status(thm)],[c_110]) ).
tff(c_3717,plain,
xsd_integer('#skF_9'),
inference(resolution,[status(thm)],[c_24,c_3714]) ).
tff(c_3721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3710,c_3717]) ).
tff(c_3722,plain,
( cc1('#skF_12')
| cc2('#skF_11')
| xsd_string('#skF_10') ),
inference(splitRight,[status(thm)],[c_110]) ).
tff(c_3728,plain,
xsd_string('#skF_10'),
inference(splitLeft,[status(thm)],[c_3722]) ).
tff(c_3732,plain,
~ xsd_integer('#skF_10'),
inference(resolution,[status(thm)],[c_3728,c_22]) ).
tff(c_3723,plain,
xsd_string('#skF_9'),
inference(splitRight,[status(thm)],[c_110]) ).
tff(c_54,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_89,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_54]) ).
tff(c_118,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_89]) ).
tff(c_3756,plain,
( xsd_integer('#skF_10')
| cc2('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_3723,c_118]) ).
tff(c_3757,plain,
cc2('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_3732,c_3756]) ).
tff(c_3819,plain,
! [X_352,Y0_353] :
( rp(X_352,'#skF_2'(X_352))
| cc1(X_352)
| ~ rp(X_352,Y0_353) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_3830,plain,
! [X_31] :
( rp(X_31,'#skF_2'(X_31))
| cc1(X_31)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_3819]) ).
tff(c_3907,plain,
! [Y1_359,Y0_360,X_361] :
( ( Y1_359 = Y0_360 )
| ~ rp(X_361,Y1_359)
| ~ rp(X_361,Y0_360)
| ~ cc2(X_361) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_3926,plain,
! [Y0_362,X_363] :
( ( Y0_362 = '#skF_6'(X_363) )
| ~ rp(X_363,Y0_362)
| ~ cc2(X_363) ),
inference(resolution,[status(thm)],[c_38,c_3907]) ).
tff(c_3952,plain,
! [X_364] :
( ( '#skF_2'(X_364) = '#skF_6'(X_364) )
| cc1(X_364)
| ~ cc2(X_364) ),
inference(resolution,[status(thm)],[c_3830,c_3926]) ).
tff(c_3958,plain,
( ( '#skF_2'('#skF_11') = '#skF_6'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_3757,c_3952]) ).
tff(c_3965,plain,
'#skF_2'('#skF_11') = '#skF_6'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_3713,c_3958]) ).
tff(c_3866,plain,
! [X_356,Y0_357] :
( ( '#skF_2'(X_356) != '#skF_1'(X_356) )
| cc1(X_356)
| ~ rp(X_356,Y0_357) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_3891,plain,
! [X_358] :
( ( '#skF_2'(X_358) != '#skF_1'(X_358) )
| cc1(X_358)
| ~ cc2(X_358) ),
inference(resolution,[status(thm)],[c_38,c_3866]) ).
tff(c_3897,plain,
( ( '#skF_2'('#skF_11') != '#skF_1'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_3757,c_3891]) ).
tff(c_3904,plain,
'#skF_2'('#skF_11') != '#skF_1'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_3713,c_3897]) ).
tff(c_3968,plain,
'#skF_1'('#skF_11') != '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_3965,c_3904]) ).
tff(c_3972,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11')
| ~ cc2('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_3965,c_3830]) ).
tff(c_3976,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_3757,c_3972]) ).
tff(c_3977,plain,
rp('#skF_11','#skF_6'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_3713,c_3976]) ).
tff(c_34,plain,
! [X_21,Y0_28] :
( rp(X_21,'#skF_1'(X_21))
| cc1(X_21)
| ~ rp(X_21,Y0_28) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_3997,plain,
( rp('#skF_11','#skF_1'('#skF_11'))
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_3977,c_34]) ).
tff(c_4019,plain,
rp('#skF_11','#skF_1'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_3713,c_3997]) ).
tff(c_3924,plain,
! [Y0_360,X_31] :
( ( Y0_360 = '#skF_6'(X_31) )
| ~ rp(X_31,Y0_360)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_3907]) ).
tff(c_4022,plain,
( ( '#skF_1'('#skF_11') = '#skF_6'('#skF_11') )
| ~ cc2('#skF_11') ),
inference(resolution,[status(thm)],[c_4019,c_3924]) ).
tff(c_4041,plain,
'#skF_1'('#skF_11') = '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_3757,c_4022]) ).
tff(c_4043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3968,c_4041]) ).
tff(c_4045,plain,
~ xsd_string('#skF_10'),
inference(splitRight,[status(thm)],[c_3722]) ).
tff(c_58,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_86,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_58]) ).
tff(c_112,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_86]) ).
tff(c_4060,plain,
( xsd_string('#skF_10')
| cc2('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_3723,c_112]) ).
tff(c_4061,plain,
cc2('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_4045,c_4060]) ).
tff(c_4184,plain,
! [X_380,Y0_381] :
( rp(X_380,'#skF_2'(X_380))
| cc1(X_380)
| ~ rp(X_380,Y0_381) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_4198,plain,
! [X_31] :
( rp(X_31,'#skF_2'(X_31))
| cc1(X_31)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_4184]) ).
tff(c_4221,plain,
! [Y1_383,Y0_384,X_385] :
( ( Y1_383 = Y0_384 )
| ~ rp(X_385,Y1_383)
| ~ rp(X_385,Y0_384)
| ~ cc2(X_385) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_4259,plain,
! [Y0_389,X_390] :
( ( Y0_389 = '#skF_6'(X_390) )
| ~ rp(X_390,Y0_389)
| ~ cc2(X_390) ),
inference(resolution,[status(thm)],[c_38,c_4221]) ).
tff(c_4311,plain,
! [X_393] :
( ( '#skF_2'(X_393) = '#skF_6'(X_393) )
| cc1(X_393)
| ~ cc2(X_393) ),
inference(resolution,[status(thm)],[c_4198,c_4259]) ).
tff(c_4317,plain,
( ( '#skF_2'('#skF_11') = '#skF_6'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_4061,c_4311]) ).
tff(c_4324,plain,
'#skF_2'('#skF_11') = '#skF_6'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_3713,c_4317]) ).
tff(c_4147,plain,
! [X_377,Y0_378] :
( ( '#skF_2'(X_377) != '#skF_1'(X_377) )
| cc1(X_377)
| ~ rp(X_377,Y0_378) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_4168,plain,
! [X_379] :
( ( '#skF_2'(X_379) != '#skF_1'(X_379) )
| cc1(X_379)
| ~ cc2(X_379) ),
inference(resolution,[status(thm)],[c_38,c_4147]) ).
tff(c_4174,plain,
( ( '#skF_2'('#skF_11') != '#skF_1'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_4061,c_4168]) ).
tff(c_4181,plain,
'#skF_2'('#skF_11') != '#skF_1'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_3713,c_4174]) ).
tff(c_4327,plain,
'#skF_1'('#skF_11') != '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_4324,c_4181]) ).
tff(c_4331,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11')
| ~ cc2('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_4324,c_4198]) ).
tff(c_4335,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_4061,c_4331]) ).
tff(c_4336,plain,
rp('#skF_11','#skF_6'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_3713,c_4335]) ).
tff(c_4354,plain,
( rp('#skF_11','#skF_1'('#skF_11'))
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_4336,c_34]) ).
tff(c_4379,plain,
rp('#skF_11','#skF_1'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_3713,c_4354]) ).
tff(c_4238,plain,
! [Y0_384,X_31] :
( ( Y0_384 = '#skF_6'(X_31) )
| ~ rp(X_31,Y0_384)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_4221]) ).
tff(c_4391,plain,
( ( '#skF_1'('#skF_11') = '#skF_6'('#skF_11') )
| ~ cc2('#skF_11') ),
inference(resolution,[status(thm)],[c_4379,c_4238]) ).
tff(c_4413,plain,
'#skF_1'('#skF_11') = '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_4061,c_4391]) ).
tff(c_4415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4327,c_4413]) ).
tff(c_4416,plain,
( ~ xsd_string('#skF_9')
| xsd_string('#skF_10') ),
inference(splitRight,[status(thm)],[c_3712]) ).
tff(c_4418,plain,
~ xsd_string('#skF_9'),
inference(splitLeft,[status(thm)],[c_4416]) ).
tff(c_4421,plain,
xsd_integer('#skF_9'),
inference(resolution,[status(thm)],[c_24,c_4418]) ).
tff(c_4425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3710,c_4421]) ).
tff(c_4426,plain,
xsd_string('#skF_10'),
inference(splitRight,[status(thm)],[c_4416]) ).
tff(c_4431,plain,
~ xsd_integer('#skF_10'),
inference(resolution,[status(thm)],[c_4426,c_22]) ).
tff(c_4417,plain,
cc1('#skF_11'),
inference(splitRight,[status(thm)],[c_3712]) ).
tff(c_4427,plain,
xsd_string('#skF_9'),
inference(splitRight,[status(thm)],[c_4416]) ).
tff(c_46,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_82,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_46]) ).
tff(c_104,plain,
( ~ xsd_string('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_82]) ).
tff(c_4463,plain,
xsd_integer('#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_4417,c_4427,c_104]) ).
tff(c_4464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4431,c_4463]) ).
tff(c_4466,plain,
xsd_integer('#skF_9'),
inference(splitRight,[status(thm)],[c_3708]) ).
tff(c_4469,plain,
( xsd_string('#skF_10')
| ~ cc1('#skF_11')
| cc1('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_4466,c_114]) ).
tff(c_4470,plain,
~ cc1('#skF_11'),
inference(splitLeft,[status(thm)],[c_4469]) ).
tff(c_4465,plain,
( xsd_string('#skF_10')
| cc2('#skF_11') ),
inference(splitRight,[status(thm)],[c_3708]) ).
tff(c_4467,plain,
cc2('#skF_11'),
inference(splitLeft,[status(thm)],[c_4465]) ).
tff(c_4504,plain,
! [X_397,Y0_398] :
( rp(X_397,'#skF_2'(X_397))
| cc1(X_397)
| ~ rp(X_397,Y0_398) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_4512,plain,
! [X_31] :
( rp(X_31,'#skF_2'(X_31))
| cc1(X_31)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_4504]) ).
tff(c_4640,plain,
! [Y1_412,Y0_413,X_414] :
( ( Y1_412 = Y0_413 )
| ~ rp(X_414,Y1_412)
| ~ rp(X_414,Y0_413)
| ~ cc2(X_414) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_4659,plain,
! [Y0_415,X_416] :
( ( Y0_415 = '#skF_6'(X_416) )
| ~ rp(X_416,Y0_415)
| ~ cc2(X_416) ),
inference(resolution,[status(thm)],[c_38,c_4640]) ).
tff(c_5064,plain,
! [X_430] :
( ( '#skF_2'(X_430) = '#skF_6'(X_430) )
| cc1(X_430)
| ~ cc2(X_430) ),
inference(resolution,[status(thm)],[c_4512,c_4659]) ).
tff(c_5070,plain,
( ( '#skF_2'('#skF_11') = '#skF_6'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_4467,c_5064]) ).
tff(c_5077,plain,
'#skF_2'('#skF_11') = '#skF_6'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_4470,c_5070]) ).
tff(c_4566,plain,
! [X_406,Y0_407] :
( ( '#skF_2'(X_406) != '#skF_1'(X_406) )
| cc1(X_406)
| ~ rp(X_406,Y0_407) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_4587,plain,
! [X_408] :
( ( '#skF_2'(X_408) != '#skF_1'(X_408) )
| cc1(X_408)
| ~ cc2(X_408) ),
inference(resolution,[status(thm)],[c_38,c_4566]) ).
tff(c_4593,plain,
( ( '#skF_2'('#skF_11') != '#skF_1'('#skF_11') )
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_4467,c_4587]) ).
tff(c_4600,plain,
'#skF_2'('#skF_11') != '#skF_1'('#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_4470,c_4593]) ).
tff(c_5080,plain,
'#skF_1'('#skF_11') != '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_5077,c_4600]) ).
tff(c_5084,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11')
| ~ cc2('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_5077,c_4512]) ).
tff(c_5088,plain,
( rp('#skF_11','#skF_6'('#skF_11'))
| cc1('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_4467,c_5084]) ).
tff(c_5089,plain,
rp('#skF_11','#skF_6'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_4470,c_5088]) ).
tff(c_5107,plain,
( rp('#skF_11','#skF_1'('#skF_11'))
| cc1('#skF_11') ),
inference(resolution,[status(thm)],[c_5089,c_34]) ).
tff(c_5131,plain,
rp('#skF_11','#skF_1'('#skF_11')),
inference(negUnitSimplification,[status(thm)],[c_4470,c_5107]) ).
tff(c_4657,plain,
! [Y0_413,X_31] :
( ( Y0_413 = '#skF_6'(X_31) )
| ~ rp(X_31,Y0_413)
| ~ cc2(X_31) ),
inference(resolution,[status(thm)],[c_38,c_4640]) ).
tff(c_5146,plain,
( ( '#skF_1'('#skF_11') = '#skF_6'('#skF_11') )
| ~ cc2('#skF_11') ),
inference(resolution,[status(thm)],[c_5131,c_4657]) ).
tff(c_5167,plain,
'#skF_1'('#skF_11') = '#skF_6'('#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_4467,c_5146]) ).
tff(c_5169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5080,c_5167]) ).
tff(c_5170,plain,
( cc1('#skF_12')
| xsd_string('#skF_10') ),
inference(splitRight,[status(thm)],[c_4469]) ).
tff(c_5180,plain,
xsd_string('#skF_10'),
inference(splitLeft,[status(thm)],[c_5170]) ).
tff(c_5184,plain,
~ xsd_integer('#skF_10'),
inference(resolution,[status(thm)],[c_5180,c_22]) ).
tff(c_5171,plain,
cc1('#skF_11'),
inference(splitRight,[status(thm)],[c_4469]) ).
tff(c_48,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_81,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_48]) ).
tff(c_102,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_81]) ).
tff(c_5195,plain,
xsd_integer('#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_5171,c_4466,c_102]) ).
tff(c_5196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5184,c_5195]) ).
tff(c_5198,plain,
~ xsd_string('#skF_10'),
inference(splitRight,[status(thm)],[c_5170]) ).
tff(c_52,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_91,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_52]) ).
tff(c_122,plain,
( ~ xsd_integer('#skF_9')
| xsd_string('#skF_10')
| ~ cc1('#skF_11')
| ~ cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_91]) ).
tff(c_5226,plain,
xsd_string('#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_5171,c_4466,c_122]) ).
tff(c_5227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5198,c_5226]) ).
tff(c_5229,plain,
~ cc2('#skF_11'),
inference(splitRight,[status(thm)],[c_4465]) ).
tff(c_5228,plain,
xsd_string('#skF_10'),
inference(splitRight,[status(thm)],[c_4465]) ).
tff(c_5233,plain,
~ xsd_integer('#skF_10'),
inference(resolution,[status(thm)],[c_5228,c_22]) ).
tff(c_56,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8')
| cowlNothing('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_88,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12')
| ~ cowlThing('#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_56]) ).
tff(c_116,plain,
( ~ xsd_integer('#skF_9')
| xsd_integer('#skF_10')
| cc2('#skF_11')
| ~ cc2('#skF_12') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_88]) ).
tff(c_5260,plain,
( xsd_integer('#skF_10')
| cc2('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_4466,c_116]) ).
tff(c_5261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5229,c_5233,c_5260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS167+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.37 % Computer : n024.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 20:03:30 EDT 2023
% 0.15/0.37 % CPUTime :
% 6.14/2.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.51/2.56
% 6.51/2.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.51/2.62
% 6.51/2.62 Inference rules
% 6.51/2.62 ----------------------
% 6.51/2.62 #Ref : 0
% 6.51/2.62 #Sup : 1213
% 6.51/2.62 #Fact : 0
% 6.51/2.62 #Define : 0
% 6.51/2.62 #Split : 29
% 6.51/2.62 #Chain : 0
% 6.51/2.62 #Close : 0
% 6.51/2.62
% 6.51/2.62 Ordering : KBO
% 6.51/2.62
% 6.51/2.62 Simplification rules
% 6.51/2.62 ----------------------
% 6.51/2.62 #Subsume : 346
% 6.51/2.62 #Demod : 503
% 6.51/2.62 #Tautology : 572
% 6.51/2.62 #SimpNegUnit : 199
% 6.51/2.62 #BackRed : 15
% 6.51/2.62
% 6.51/2.62 #Partial instantiations: 0
% 6.51/2.62 #Strategies tried : 1
% 6.51/2.62
% 6.51/2.62 Timing (in seconds)
% 6.51/2.62 ----------------------
% 6.51/2.63 Preprocessing : 0.53
% 6.51/2.63 Parsing : 0.26
% 6.51/2.63 CNF conversion : 0.04
% 6.51/2.63 Main loop : 0.89
% 6.51/2.63 Inferencing : 0.34
% 6.51/2.63 Reduction : 0.24
% 6.51/2.63 Demodulation : 0.15
% 6.51/2.63 BG Simplification : 0.05
% 6.51/2.63 Subsumption : 0.18
% 6.51/2.63 Abstraction : 0.04
% 6.51/2.63 MUC search : 0.00
% 6.51/2.63 Cooper : 0.00
% 6.51/2.63 Total : 1.60
% 6.51/2.63 Index Insertion : 0.00
% 6.51/2.63 Index Deletion : 0.00
% 6.51/2.63 Index Matching : 0.00
% 6.51/2.63 BG Taut test : 0.00
%------------------------------------------------------------------------------