TSTP Solution File: KRS142+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS142+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 : n011.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 10:45:16 EDT 2023
% Result : Theorem 4.48s 2.12s
% Output : CNFRefutation 4.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 302 ( 132 unt; 15 typ; 0 def)
% Number of atoms : 777 ( 40 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 830 ( 340 ~; 475 |; 8 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 7 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 113 (; 111 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rp > xsd_string > xsd_integer > cowlThing > cowlNothing > cc > #nlpp > #skF_1 > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_9 > #skF_8 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
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(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_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_127,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cc(X)
=> ? [Y0] : rp(X,Y0) )
& ! [X] :
( cc(X)
=> ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> ( Y0 = Y1 ) ) ) ),
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_95,axiom,
! [X] :
( cc(X)
=> ( ? [Y0] : rp(X,Y0)
& ! [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_40,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_99,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_40]) ).
tff(c_126,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_99]) ).
tff(c_196,plain,
'#skF_9' != '#skF_8',
inference(splitLeft,[status(thm)],[c_126]) ).
tff(c_22,plain,
! [X_18] :
( xsd_string(X_18)
| xsd_integer(X_18) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_84,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_121,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_84]) ).
tff(c_184,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_121]) ).
tff(c_197,plain,
~ xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_184]) ).
tff(c_201,plain,
xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_22,c_197]) ).
tff(c_58,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_120,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_58]) ).
tff(c_182,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_120]) ).
tff(c_213,plain,
( xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_182]) ).
tff(c_214,plain,
rp('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_213]) ).
tff(c_90,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_95,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_90]) ).
tff(c_132,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_95]) ).
tff(c_203,plain,
( xsd_string('#skF_5')
| cc('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_132]) ).
tff(c_204,plain,
cc('#skF_7'),
inference(splitLeft,[status(thm)],[c_203]) ).
tff(c_74,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_104,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_74]) ).
tff(c_150,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_104]) ).
tff(c_216,plain,
( xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_150]) ).
tff(c_217,plain,
rp('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_216]) ).
tff(c_233,plain,
! [Y1_34,Y0_35,X_36] :
( ( Y1_34 = Y0_35 )
| ~ rp(X_36,Y1_34)
| ~ rp(X_36,Y0_35)
| ~ cc(X_36) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_235,plain,
! [Y0_35] :
( ( Y0_35 = '#skF_8' )
| ~ rp('#skF_7',Y0_35)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_217,c_233]) ).
tff(c_249,plain,
! [Y0_37] :
( ( Y0_37 = '#skF_8' )
| ~ rp('#skF_7',Y0_37) ),
inference(demodulation,[status(thm),theory(equality)],[c_204,c_235]) ).
tff(c_255,plain,
'#skF_9' = '#skF_8',
inference(resolution,[status(thm)],[c_214,c_249]) ).
tff(c_265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_255]) ).
tff(c_267,plain,
~ rp('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_216]) ).
tff(c_266,plain,
( cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_216]) ).
tff(c_268,plain,
xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_266]) ).
tff(c_20,plain,
! [X_18] :
( ~ xsd_integer(X_18)
| ~ xsd_string(X_18) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_272,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_268,c_20]) ).
tff(c_70,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_97,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_70]) ).
tff(c_136,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_97]) ).
tff(c_280,plain,
( xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_136]) ).
tff(c_281,plain,
cc('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_267,c_272,c_280]) ).
tff(c_26,plain,
! [X_19] :
( rp(X_19,'#skF_1'(X_19))
| ~ cc(X_19) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_62,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_116,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_62]) ).
tff(c_174,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_116]) ).
tff(c_343,plain,
! [Y0_26] :
( xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_174]) ).
tff(c_345,plain,
! [Y0_44] : ~ rp('#skF_6',Y0_44),
inference(negUnitSimplification,[status(thm)],[c_267,c_272,c_343]) ).
tff(c_349,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_345]) ).
tff(c_353,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_349]) ).
tff(c_354,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_266]) ).
tff(c_355,plain,
~ xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_266]) ).
tff(c_66,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_112,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_66]) ).
tff(c_166,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_112]) ).
tff(c_378,plain,
! [Y0_26] :
( xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_166]) ).
tff(c_380,plain,
! [Y0_45] : ~ rp('#skF_6',Y0_45),
inference(negUnitSimplification,[status(thm)],[c_267,c_355,c_378]) ).
tff(c_384,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_380]) ).
tff(c_388,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_354,c_384]) ).
tff(c_390,plain,
~ rp('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_213]) ).
tff(c_389,plain,
( cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_213]) ).
tff(c_391,plain,
xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_389]) ).
tff(c_395,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_391,c_20]) ).
tff(c_54,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_105,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_54]) ).
tff(c_152,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_105]) ).
tff(c_407,plain,
( xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_152]) ).
tff(c_408,plain,
cc('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_390,c_395,c_407]) ).
tff(c_46,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_109,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_46]) ).
tff(c_160,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_109]) ).
tff(c_423,plain,
! [Y0_26] :
( xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_160]) ).
tff(c_425,plain,
! [Y0_46] : ~ rp('#skF_6',Y0_46),
inference(negUnitSimplification,[status(thm)],[c_390,c_395,c_423]) ).
tff(c_429,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_425]) ).
tff(c_433,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_408,c_429]) ).
tff(c_434,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_389]) ).
tff(c_435,plain,
~ xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_389]) ).
tff(c_50,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_107,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_50]) ).
tff(c_156,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_107]) ).
tff(c_520,plain,
! [Y0_26] :
( xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_156]) ).
tff(c_522,plain,
! [Y0_54] : ~ rp('#skF_6',Y0_54),
inference(negUnitSimplification,[status(thm)],[c_390,c_435,c_520]) ).
tff(c_526,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_522]) ).
tff(c_530,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_434,c_526]) ).
tff(c_532,plain,
~ cc('#skF_7'),
inference(splitRight,[status(thm)],[c_203]) ).
tff(c_531,plain,
( cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_203]) ).
tff(c_533,plain,
xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_531]) ).
tff(c_537,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_533,c_20]) ).
tff(c_86,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_91,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_86]) ).
tff(c_124,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_91]) ).
tff(c_542,plain,
( xsd_integer('#skF_5')
| cc('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_124]) ).
tff(c_543,plain,
cc('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_532,c_537,c_542]) ).
tff(c_78,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_100,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_78]) ).
tff(c_142,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_100]) ).
tff(c_555,plain,
! [Y0_26] :
( xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_142]) ).
tff(c_557,plain,
! [Y0_55] : ~ rp('#skF_6',Y0_55),
inference(negUnitSimplification,[status(thm)],[c_532,c_537,c_555]) ).
tff(c_561,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_557]) ).
tff(c_565,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_543,c_561]) ).
tff(c_566,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_531]) ).
tff(c_567,plain,
~ xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_531]) ).
tff(c_82,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_92,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_82]) ).
tff(c_168,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_92]) ).
tff(c_596,plain,
! [Y0_26] :
( xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_168]) ).
tff(c_598,plain,
! [Y0_56] : ~ rp('#skF_6',Y0_56),
inference(negUnitSimplification,[status(thm)],[c_532,c_567,c_596]) ).
tff(c_602,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_598]) ).
tff(c_606,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_566,c_602]) ).
tff(c_607,plain,
( cc('#skF_7')
| cc('#skF_6')
| xsd_integer('#skF_5') ),
inference(splitRight,[status(thm)],[c_184]) ).
tff(c_613,plain,
xsd_integer('#skF_5'),
inference(splitLeft,[status(thm)],[c_607]) ).
tff(c_608,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_184]) ).
tff(c_72,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_96,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_72]) ).
tff(c_134,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_96]) ).
tff(c_629,plain,
( xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_134]) ).
tff(c_630,plain,
rp('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_629]) ).
tff(c_88,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_103,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| cc('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_88]) ).
tff(c_148,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_103]) ).
tff(c_615,plain,
( xsd_string('#skF_5')
| cc('#skF_6')
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_148]) ).
tff(c_616,plain,
cc('#skF_7'),
inference(splitLeft,[status(thm)],[c_615]) ).
tff(c_56,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_122,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_56]) ).
tff(c_186,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_122]) ).
tff(c_643,plain,
( xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_186]) ).
tff(c_644,plain,
rp('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_643]) ).
tff(c_651,plain,
! [Y1_57,Y0_58,X_59] :
( ( Y1_57 = Y0_58 )
| ~ rp(X_59,Y1_57)
| ~ rp(X_59,Y0_58)
| ~ cc(X_59) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_653,plain,
! [Y0_58] :
( ( Y0_58 = '#skF_9' )
| ~ rp('#skF_7',Y0_58)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_644,c_651]) ).
tff(c_666,plain,
! [Y0_60] :
( ( Y0_60 = '#skF_9' )
| ~ rp('#skF_7',Y0_60) ),
inference(demodulation,[status(thm),theory(equality)],[c_616,c_653]) ).
tff(c_672,plain,
'#skF_9' = '#skF_8',
inference(resolution,[status(thm)],[c_630,c_666]) ).
tff(c_682,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_672]) ).
tff(c_683,plain,
( cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_643]) ).
tff(c_685,plain,
xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_683]) ).
tff(c_690,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_685,c_20]) ).
tff(c_694,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_613,c_690]) ).
tff(c_695,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_683]) ).
tff(c_684,plain,
~ rp('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_643]) ).
tff(c_696,plain,
~ xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_683]) ).
tff(c_48,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_108,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_48]) ).
tff(c_158,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_108]) ).
tff(c_756,plain,
! [Y0_26] :
( xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_158]) ).
tff(c_758,plain,
! [Y0_67] : ~ rp('#skF_6',Y0_67),
inference(negUnitSimplification,[status(thm)],[c_684,c_696,c_756]) ).
tff(c_762,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_758]) ).
tff(c_766,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_695,c_762]) ).
tff(c_767,plain,
( cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_629]) ).
tff(c_769,plain,
xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_767]) ).
tff(c_772,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_769,c_20]) ).
tff(c_776,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_613,c_772]) ).
tff(c_777,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_767]) ).
tff(c_768,plain,
~ rp('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_629]) ).
tff(c_778,plain,
~ xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_767]) ).
tff(c_64,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_114,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_64]) ).
tff(c_170,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_114]) ).
tff(c_826,plain,
! [Y0_26] :
( xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_170]) ).
tff(c_828,plain,
! [Y0_73] : ~ rp('#skF_6',Y0_73),
inference(negUnitSimplification,[status(thm)],[c_768,c_778,c_826]) ).
tff(c_832,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_828]) ).
tff(c_836,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_777,c_832]) ).
tff(c_837,plain,
( cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_615]) ).
tff(c_841,plain,
xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_837]) ).
tff(c_844,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_841,c_20]) ).
tff(c_848,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_613,c_844]) ).
tff(c_849,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_837]) ).
tff(c_838,plain,
~ cc('#skF_7'),
inference(splitRight,[status(thm)],[c_615]) ).
tff(c_850,plain,
~ xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_837]) ).
tff(c_80,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_98,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_80]) ).
tff(c_138,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_98]) ).
tff(c_880,plain,
! [Y0_26] :
( xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_138]) ).
tff(c_882,plain,
! [Y0_74] : ~ rp('#skF_6',Y0_74),
inference(negUnitSimplification,[status(thm)],[c_838,c_850,c_880]) ).
tff(c_886,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_882]) ).
tff(c_890,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_849,c_886]) ).
tff(c_892,plain,
~ xsd_integer('#skF_5'),
inference(splitRight,[status(thm)],[c_607]) ).
tff(c_68,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_111,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_68]) ).
tff(c_164,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_111]) ).
tff(c_902,plain,
( xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_164]) ).
tff(c_903,plain,
( cc('#skF_6')
| rp('#skF_7','#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_892,c_902]) ).
tff(c_904,plain,
rp('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_903]) ).
tff(c_891,plain,
( cc('#skF_6')
| cc('#skF_7') ),
inference(splitRight,[status(thm)],[c_607]) ).
tff(c_893,plain,
cc('#skF_7'),
inference(splitLeft,[status(thm)],[c_891]) ).
tff(c_922,plain,
( xsd_string('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_186]) ).
tff(c_923,plain,
rp('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_922]) ).
tff(c_931,plain,
! [Y1_75,Y0_76,X_77] :
( ( Y1_75 = Y0_76 )
| ~ rp(X_77,Y1_75)
| ~ rp(X_77,Y0_76)
| ~ cc(X_77) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_933,plain,
! [Y0_76] :
( ( Y0_76 = '#skF_9' )
| ~ rp('#skF_7',Y0_76)
| ~ cc('#skF_7') ),
inference(resolution,[status(thm)],[c_923,c_931]) ).
tff(c_945,plain,
! [Y0_78] :
( ( Y0_78 = '#skF_9' )
| ~ rp('#skF_7',Y0_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_893,c_933]) ).
tff(c_951,plain,
'#skF_9' = '#skF_8',
inference(resolution,[status(thm)],[c_904,c_945]) ).
tff(c_961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_951]) ).
tff(c_963,plain,
~ rp('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_922]) ).
tff(c_52,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_106,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_52]) ).
tff(c_154,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_106]) ).
tff(c_970,plain,
( xsd_integer('#skF_5')
| cc('#skF_6')
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_154]) ).
tff(c_971,plain,
cc('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_963,c_892,c_970]) ).
tff(c_44,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_110,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_44]) ).
tff(c_162,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_110]) ).
tff(c_1010,plain,
! [Y0_26] :
( xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_162]) ).
tff(c_1012,plain,
! [Y0_83] : ~ rp('#skF_6',Y0_83),
inference(negUnitSimplification,[status(thm)],[c_963,c_892,c_1010]) ).
tff(c_1016,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_1012]) ).
tff(c_1020,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_971,c_1016]) ).
tff(c_1021,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_903]) ).
tff(c_1022,plain,
~ rp('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_903]) ).
tff(c_60,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_118,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_60]) ).
tff(c_178,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_118]) ).
tff(c_1063,plain,
! [Y0_26] :
( xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| rp('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_178]) ).
tff(c_1065,plain,
! [Y0_89] : ~ rp('#skF_6',Y0_89),
inference(negUnitSimplification,[status(thm)],[c_1022,c_892,c_1063]) ).
tff(c_1069,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_1065]) ).
tff(c_1073,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1021,c_1069]) ).
tff(c_1074,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_891]) ).
tff(c_1075,plain,
~ cc('#skF_7'),
inference(splitRight,[status(thm)],[c_891]) ).
tff(c_76,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_102,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_76]) ).
tff(c_146,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_102]) ).
tff(c_1094,plain,
! [Y0_26] :
( xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| cc('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_608,c_146]) ).
tff(c_1096,plain,
! [Y0_90] : ~ rp('#skF_6',Y0_90),
inference(negUnitSimplification,[status(thm)],[c_1075,c_892,c_1094]) ).
tff(c_1100,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_1096]) ).
tff(c_1104,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1074,c_1100]) ).
tff(c_1106,plain,
'#skF_9' = '#skF_8',
inference(splitRight,[status(thm)],[c_126]) ).
tff(c_42,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_93,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_42]) ).
tff(c_128,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_93]) ).
tff(c_1112,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_1106,c_128]) ).
tff(c_1113,plain,
~ xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_1112]) ).
tff(c_1105,plain,
( ~ xsd_string('#skF_4')
| cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_126]) ).
tff(c_1114,plain,
~ xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_1105]) ).
tff(c_1117,plain,
xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_22,c_1114]) ).
tff(c_1121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1113,c_1117]) ).
tff(c_1122,plain,
( xsd_string('#skF_5')
| cc('#skF_6') ),
inference(splitRight,[status(thm)],[c_1105]) ).
tff(c_1128,plain,
cc('#skF_6'),
inference(splitLeft,[status(thm)],[c_1122]) ).
tff(c_1123,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1105]) ).
tff(c_32,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_101,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_32]) ).
tff(c_144,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_101]) ).
tff(c_1142,plain,
! [Y0_26] :
( xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_1106,c_1123,c_144]) ).
tff(c_1144,plain,
! [Y0_91] : ~ rp('#skF_6',Y0_91),
inference(splitLeft,[status(thm)],[c_1142]) ).
tff(c_1148,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_1144]) ).
tff(c_1152,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1128,c_1148]) ).
tff(c_1153,plain,
xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_1142]) ).
tff(c_1157,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_1153,c_20]) ).
tff(c_28,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_119,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_28]) ).
tff(c_180,plain,
! [Y0_26] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_119]) ).
tff(c_1164,plain,
! [Y0_26] :
( xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_1106,c_1123,c_180]) ).
tff(c_1166,plain,
! [Y0_92] : ~ rp('#skF_6',Y0_92),
inference(negUnitSimplification,[status(thm)],[c_1157,c_1164]) ).
tff(c_1170,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_1166]) ).
tff(c_1174,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1128,c_1170]) ).
tff(c_1176,plain,
~ cc('#skF_6'),
inference(splitRight,[status(thm)],[c_1122]) ).
tff(c_1175,plain,
xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_1122]) ).
tff(c_1180,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_1175,c_20]) ).
tff(c_36,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_94,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_36]) ).
tff(c_130,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_94]) ).
tff(c_1188,plain,
( xsd_integer('#skF_5')
| cc('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_1106,c_1123,c_130]) ).
tff(c_1189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1176,c_1180,c_1188]) ).
tff(c_1190,plain,
( cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_1112]) ).
tff(c_1192,plain,
xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_1190]) ).
tff(c_1196,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_1192,c_20]) ).
tff(c_1191,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_1112]) ).
tff(c_38,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_113,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_38]) ).
tff(c_140,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ( '#skF_9' != '#skF_8' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_113]) ).
tff(c_1207,plain,
( xsd_integer('#skF_5')
| cc('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_1106,c_1191,c_140]) ).
tff(c_1208,plain,
cc('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_1196,c_1207]) ).
tff(c_30,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_117,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_30]) ).
tff(c_176,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_117]) ).
tff(c_1234,plain,
! [Y0_26] :
( xsd_integer('#skF_5')
| ~ rp('#skF_6',Y0_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_1106,c_1191,c_176]) ).
tff(c_1236,plain,
! [Y0_94] : ~ rp('#skF_6',Y0_94),
inference(negUnitSimplification,[status(thm)],[c_1196,c_1234]) ).
tff(c_1240,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_1236]) ).
tff(c_1244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1208,c_1240]) ).
tff(c_1245,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_1190]) ).
tff(c_1246,plain,
~ xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_1190]) ).
tff(c_34,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_115,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' )
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_34]) ).
tff(c_172,plain,
! [Y0_26] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26)
| ( '#skF_9' != '#skF_8' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_115]) ).
tff(c_1293,plain,
! [Y0_26] :
( xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_1106,c_1191,c_172]) ).
tff(c_1295,plain,
! [Y0_95] : ~ rp('#skF_6',Y0_95),
inference(negUnitSimplification,[status(thm)],[c_1246,c_1293]) ).
tff(c_1299,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_26,c_1295]) ).
tff(c_1303,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1245,c_1299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : KRS142+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.16 % 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
% 0.15/0.38 % Computer : n011.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Thu Aug 3 20:04:21 EDT 2023
% 0.15/0.38 % CPUTime :
% 4.48/2.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.69/2.14
% 4.69/2.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.69/2.20
% 4.69/2.20 Inference rules
% 4.69/2.20 ----------------------
% 4.69/2.20 #Ref : 0
% 4.69/2.20 #Sup : 100
% 4.69/2.20 #Fact : 0
% 4.69/2.20 #Define : 0
% 4.69/2.20 #Split : 28
% 4.69/2.20 #Chain : 0
% 4.69/2.20 #Close : 0
% 4.69/2.20
% 4.69/2.20 Ordering : KBO
% 4.69/2.20
% 4.69/2.20 Simplification rules
% 4.69/2.20 ----------------------
% 4.69/2.20 #Subsume : 142
% 4.69/2.20 #Demod : 450
% 4.69/2.20 #Tautology : 123
% 4.69/2.20 #SimpNegUnit : 164
% 4.69/2.20 #BackRed : 0
% 4.69/2.20
% 4.69/2.20 #Partial instantiations: 0
% 4.69/2.20 #Strategies tried : 1
% 4.69/2.20
% 4.69/2.20 Timing (in seconds)
% 4.69/2.20 ----------------------
% 4.69/2.20 Preprocessing : 0.55
% 4.69/2.20 Parsing : 0.27
% 4.69/2.20 CNF conversion : 0.04
% 4.69/2.20 Main loop : 0.48
% 4.69/2.20 Inferencing : 0.13
% 4.69/2.20 Reduction : 0.15
% 4.69/2.20 Demodulation : 0.09
% 4.69/2.21 BG Simplification : 0.04
% 4.69/2.21 Subsumption : 0.10
% 4.69/2.21 Abstraction : 0.03
% 4.69/2.21 MUC search : 0.00
% 4.69/2.21 Cooper : 0.00
% 4.69/2.21 Total : 1.13
% 4.69/2.21 Index Insertion : 0.00
% 4.69/2.21 Index Deletion : 0.00
% 4.69/2.21 Index Matching : 0.00
% 4.69/2.21 BG Taut test : 0.00
%------------------------------------------------------------------------------