TSTP Solution File: KRS143+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS143+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:45:17 EDT 2023
% Result : Theorem 3.78s 1.90s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 195 ( 80 unt; 14 typ; 0 def)
% Number of atoms : 448 ( 47 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 495 ( 228 ~; 253 |; 7 &)
% ( 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 : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 112 (; 110 !; 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_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_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/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_126,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cc(X)
=> ( ? [Y0] : rp(X,Y0)
& ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> ( Y0 = Y1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_82,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(f_88,axiom,
! [X] :
( cc(X)
=> ? [Y0] : rp(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_98,axiom,
! [X] :
( cc(X)
=> ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> ( Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
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_58,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_60,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_58]) ).
tff(c_78,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_60]) ).
tff(c_115,plain,
~ xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_22,plain,
! [X_18] :
( xsd_string(X_18)
| xsd_integer(X_18) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_56,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_63,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_56]) ).
tff(c_84,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cc('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_63]) ).
tff(c_116,plain,
~ xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_119,plain,
xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_22,c_116]) ).
tff(c_123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115,c_119]) ).
tff(c_125,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_52,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_73,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_52]) ).
tff(c_104,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_73]) ).
tff(c_131,plain,
( xsd_integer('#skF_5')
| cc('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_104]) ).
tff(c_132,plain,
cc('#skF_6'),
inference(splitLeft,[status(thm)],[c_131]) ).
tff(c_24,plain,
! [X_19] :
( rp(X_19,'#skF_1'(X_19))
| ~ cc(X_19) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_28,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_71,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_28]) ).
tff(c_100,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_71]) ).
tff(c_137,plain,
! [Y0_29] :
( xsd_integer('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_100]) ).
tff(c_138,plain,
'#skF_7' != '#skF_8',
inference(splitLeft,[status(thm)],[c_137]) ).
tff(c_48,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_67,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_48]) ).
tff(c_92,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_67]) ).
tff(c_142,plain,
! [Y0_29] :
( xsd_string('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_92]) ).
tff(c_144,plain,
! [Y0_35] : ~ rp('#skF_6',Y0_35),
inference(splitLeft,[status(thm)],[c_142]) ).
tff(c_148,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_24,c_144]) ).
tff(c_152,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132,c_148]) ).
tff(c_153,plain,
( rp('#skF_6','#skF_7')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_142]) ).
tff(c_154,plain,
xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_153]) ).
tff(c_20,plain,
! [X_18] :
( ~ xsd_integer(X_18)
| ~ xsd_string(X_18) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_158,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_154,c_20]) ).
tff(c_44,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_70,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_44]) ).
tff(c_98,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_70]) ).
tff(c_221,plain,
! [Y0_29] :
( xsd_integer('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_98]) ).
tff(c_222,plain,
! [Y0_29] :
( rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(negUnitSimplification,[status(thm)],[c_158,c_221]) ).
tff(c_223,plain,
! [Y0_29] : ~ rp('#skF_6',Y0_29),
inference(splitLeft,[status(thm)],[c_222]) ).
tff(c_36,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_66,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_36]) ).
tff(c_90,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_66]) ).
tff(c_170,plain,
! [Y0_29] :
( xsd_integer('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_90]) ).
tff(c_171,plain,
! [Y0_29] :
( rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(negUnitSimplification,[status(thm)],[c_158,c_170]) ).
tff(c_173,plain,
! [Y0_41] : ~ rp('#skF_6',Y0_41),
inference(splitLeft,[status(thm)],[c_171]) ).
tff(c_177,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_24,c_173]) ).
tff(c_181,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132,c_177]) ).
tff(c_182,plain,
rp('#skF_6','#skF_8'),
inference(splitRight,[status(thm)],[c_171]) ).
tff(c_225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_223,c_182]) ).
tff(c_226,plain,
rp('#skF_6','#skF_7'),
inference(splitRight,[status(thm)],[c_222]) ).
tff(c_26,plain,
! [Y1_25,Y0_24,X_21] :
( ( Y1_25 = Y0_24 )
| ~ rp(X_21,Y1_25)
| ~ rp(X_21,Y0_24)
| ~ cc(X_21) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_188,plain,
! [Y0_24] :
( ( Y0_24 = '#skF_8' )
| ~ rp('#skF_6',Y0_24)
| ~ cc('#skF_6') ),
inference(resolution,[status(thm)],[c_182,c_26]) ).
tff(c_194,plain,
! [Y0_24] :
( ( Y0_24 = '#skF_8' )
| ~ rp('#skF_6',Y0_24) ),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_188]) ).
tff(c_229,plain,
'#skF_7' = '#skF_8',
inference(resolution,[status(thm)],[c_226,c_194]) ).
tff(c_238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138,c_229]) ).
tff(c_239,plain,
rp('#skF_6','#skF_7'),
inference(splitRight,[status(thm)],[c_153]) ).
tff(c_246,plain,
! [Y1_43,Y0_44,X_45] :
( ( Y1_43 = Y0_44 )
| ~ rp(X_45,Y1_43)
| ~ rp(X_45,Y0_44)
| ~ cc(X_45) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_248,plain,
! [Y0_44] :
( ( Y0_44 = '#skF_7' )
| ~ rp('#skF_6',Y0_44)
| ~ cc('#skF_6') ),
inference(resolution,[status(thm)],[c_239,c_246]) ).
tff(c_255,plain,
! [Y0_46] :
( ( Y0_46 = '#skF_7' )
| ~ rp('#skF_6',Y0_46) ),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_248]) ).
tff(c_262,plain,
( ( '#skF_1'('#skF_6') = '#skF_7' )
| ~ cc('#skF_6') ),
inference(resolution,[status(thm)],[c_24,c_255]) ).
tff(c_267,plain,
'#skF_1'('#skF_6') = '#skF_7',
inference(demodulation,[status(thm),theory(equality)],[c_132,c_262]) ).
tff(c_240,plain,
~ xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_153]) ).
tff(c_40,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_74,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_40]) ).
tff(c_106,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_74]) ).
tff(c_292,plain,
! [Y0_29] :
( xsd_string('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_106]) ).
tff(c_293,plain,
! [Y0_29] :
( rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(negUnitSimplification,[status(thm)],[c_240,c_292]) ).
tff(c_294,plain,
! [Y0_29] : ~ rp('#skF_6',Y0_29),
inference(splitLeft,[status(thm)],[c_293]) ).
tff(c_296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_294,c_239]) ).
tff(c_297,plain,
rp('#skF_6','#skF_8'),
inference(splitRight,[status(thm)],[c_293]) ).
tff(c_254,plain,
! [Y0_44,X_19] :
( ( Y0_44 = '#skF_1'(X_19) )
| ~ rp(X_19,Y0_44)
| ~ cc(X_19) ),
inference(resolution,[status(thm)],[c_24,c_246]) ).
tff(c_302,plain,
( ( '#skF_1'('#skF_6') = '#skF_8' )
| ~ cc('#skF_6') ),
inference(resolution,[status(thm)],[c_297,c_254]) ).
tff(c_310,plain,
'#skF_7' = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_132,c_267,c_302]) ).
tff(c_312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138,c_310]) ).
tff(c_313,plain,
! [Y0_29] :
( ~ rp('#skF_6',Y0_29)
| xsd_integer('#skF_5') ),
inference(splitRight,[status(thm)],[c_137]) ).
tff(c_320,plain,
! [Y0_49] : ~ rp('#skF_6',Y0_49),
inference(splitLeft,[status(thm)],[c_313]) ).
tff(c_324,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_24,c_320]) ).
tff(c_328,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132,c_324]) ).
tff(c_329,plain,
xsd_integer('#skF_5'),
inference(splitRight,[status(thm)],[c_313]) ).
tff(c_314,plain,
'#skF_7' = '#skF_8',
inference(splitRight,[status(thm)],[c_137]) ).
tff(c_32,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_62,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_32]) ).
tff(c_82,plain,
! [Y0_29] :
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_62]) ).
tff(c_331,plain,
! [Y0_29] :
( xsd_string('#skF_5')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_314,c_125,c_82]) ).
tff(c_333,plain,
! [Y0_50] : ~ rp('#skF_6',Y0_50),
inference(splitLeft,[status(thm)],[c_331]) ).
tff(c_337,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_24,c_333]) ).
tff(c_341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132,c_337]) ).
tff(c_342,plain,
xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_331]) ).
tff(c_345,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_342,c_20]) ).
tff(c_349,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_345]) ).
tff(c_350,plain,
xsd_integer('#skF_5'),
inference(splitRight,[status(thm)],[c_131]) ).
tff(c_351,plain,
~ cc('#skF_6'),
inference(splitRight,[status(thm)],[c_131]) ).
tff(c_124,plain,
( cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_353,plain,
xsd_string('#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_351,c_124]) ).
tff(c_356,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_353,c_20]) ).
tff(c_360,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_350,c_356]) ).
tff(c_361,plain,
( cc('#skF_6')
| xsd_string('#skF_5') ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_363,plain,
xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_361]) ).
tff(c_367,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_363,c_20]) ).
tff(c_362,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_54,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_59,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_54]) ).
tff(c_76,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cc('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_59]) ).
tff(c_376,plain,
( xsd_integer('#skF_5')
| cc('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_76]) ).
tff(c_377,plain,
cc('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_367,c_376]) ).
tff(c_30,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_69,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_30]) ).
tff(c_96,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_69]) ).
tff(c_382,plain,
! [Y0_29] :
( xsd_integer('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_96]) ).
tff(c_383,plain,
! [Y0_29] :
( ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29) ),
inference(negUnitSimplification,[status(thm)],[c_367,c_382]) ).
tff(c_384,plain,
'#skF_7' != '#skF_8',
inference(splitLeft,[status(thm)],[c_383]) ).
tff(c_46,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_68,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_46]) ).
tff(c_94,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_68]) ).
tff(c_389,plain,
! [Y0_29] :
( xsd_integer('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_94]) ).
tff(c_390,plain,
! [Y0_29] :
( rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(negUnitSimplification,[status(thm)],[c_367,c_389]) ).
tff(c_392,plain,
! [Y0_52] : ~ rp('#skF_6',Y0_52),
inference(splitLeft,[status(thm)],[c_390]) ).
tff(c_396,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_24,c_392]) ).
tff(c_400,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_377,c_396]) ).
tff(c_401,plain,
rp('#skF_6','#skF_7'),
inference(splitRight,[status(thm)],[c_390]) ).
tff(c_403,plain,
! [Y1_53,Y0_54,X_55] :
( ( Y1_53 = Y0_54 )
| ~ rp(X_55,Y1_53)
| ~ rp(X_55,Y0_54)
| ~ cc(X_55) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_405,plain,
! [Y0_54] :
( ( Y0_54 = '#skF_7' )
| ~ rp('#skF_6',Y0_54)
| ~ cc('#skF_6') ),
inference(resolution,[status(thm)],[c_401,c_403]) ).
tff(c_412,plain,
! [Y0_56] :
( ( Y0_56 = '#skF_7' )
| ~ rp('#skF_6',Y0_56) ),
inference(demodulation,[status(thm),theory(equality)],[c_377,c_405]) ).
tff(c_419,plain,
( ( '#skF_1'('#skF_6') = '#skF_7' )
| ~ cc('#skF_6') ),
inference(resolution,[status(thm)],[c_24,c_412]) ).
tff(c_424,plain,
'#skF_1'('#skF_6') = '#skF_7',
inference(demodulation,[status(thm),theory(equality)],[c_377,c_419]) ).
tff(c_38,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_65,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_38]) ).
tff(c_88,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_65]) ).
tff(c_454,plain,
! [Y0_29] :
( xsd_integer('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_88]) ).
tff(c_455,plain,
! [Y0_29] :
( rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(negUnitSimplification,[status(thm)],[c_367,c_454]) ).
tff(c_456,plain,
! [Y0_29] : ~ rp('#skF_6',Y0_29),
inference(splitLeft,[status(thm)],[c_455]) ).
tff(c_458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_401]) ).
tff(c_459,plain,
rp('#skF_6','#skF_8'),
inference(splitRight,[status(thm)],[c_455]) ).
tff(c_411,plain,
! [Y0_54,X_19] :
( ( Y0_54 = '#skF_1'(X_19) )
| ~ rp(X_19,Y0_54)
| ~ cc(X_19) ),
inference(resolution,[status(thm)],[c_24,c_403]) ).
tff(c_462,plain,
( ( '#skF_1'('#skF_6') = '#skF_8' )
| ~ cc('#skF_6') ),
inference(resolution,[status(thm)],[c_459,c_411]) ).
tff(c_470,plain,
'#skF_7' = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_377,c_424,c_462]) ).
tff(c_472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384,c_470]) ).
tff(c_479,plain,
! [Y0_59] : ~ rp('#skF_6',Y0_59),
inference(splitRight,[status(thm)],[c_383]) ).
tff(c_483,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_24,c_479]) ).
tff(c_487,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_377,c_483]) ).
tff(c_488,plain,
cc('#skF_6'),
inference(splitRight,[status(thm)],[c_361]) ).
tff(c_489,plain,
~ xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_361]) ).
tff(c_34,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_61,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_34]) ).
tff(c_80,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_61]) ).
tff(c_503,plain,
! [Y0_29] :
( xsd_string('#skF_5')
| ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_80]) ).
tff(c_504,plain,
! [Y0_29] :
( ( '#skF_7' != '#skF_8' )
| ~ rp('#skF_6',Y0_29) ),
inference(negUnitSimplification,[status(thm)],[c_489,c_503]) ).
tff(c_505,plain,
'#skF_7' != '#skF_8',
inference(splitLeft,[status(thm)],[c_504]) ).
tff(c_50,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_64,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_50]) ).
tff(c_86,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_64]) ).
tff(c_564,plain,
! [Y0_29] :
( xsd_string('#skF_5')
| rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_86]) ).
tff(c_565,plain,
! [Y0_29] :
( rp('#skF_6','#skF_7')
| ~ rp('#skF_6',Y0_29) ),
inference(negUnitSimplification,[status(thm)],[c_489,c_564]) ).
tff(c_566,plain,
! [Y0_29] : ~ rp('#skF_6',Y0_29),
inference(splitLeft,[status(thm)],[c_565]) ).
tff(c_42,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_72,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29)
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_42]) ).
tff(c_102,plain,
! [Y0_29] :
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_72]) ).
tff(c_514,plain,
! [Y0_29] :
( xsd_string('#skF_5')
| rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_102]) ).
tff(c_515,plain,
! [Y0_29] :
( rp('#skF_6','#skF_8')
| ~ rp('#skF_6',Y0_29) ),
inference(negUnitSimplification,[status(thm)],[c_489,c_514]) ).
tff(c_522,plain,
! [Y0_61] : ~ rp('#skF_6',Y0_61),
inference(splitLeft,[status(thm)],[c_515]) ).
tff(c_526,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_24,c_522]) ).
tff(c_530,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_488,c_526]) ).
tff(c_531,plain,
rp('#skF_6','#skF_8'),
inference(splitRight,[status(thm)],[c_515]) ).
tff(c_568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_566,c_531]) ).
tff(c_569,plain,
rp('#skF_6','#skF_7'),
inference(splitRight,[status(thm)],[c_565]) ).
tff(c_541,plain,
! [Y1_62,Y0_63,X_64] :
( ( Y1_62 = Y0_63 )
| ~ rp(X_64,Y1_62)
| ~ rp(X_64,Y0_63)
| ~ cc(X_64) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_543,plain,
! [Y0_63] :
( ( Y0_63 = '#skF_8' )
| ~ rp('#skF_6',Y0_63)
| ~ cc('#skF_6') ),
inference(resolution,[status(thm)],[c_531,c_541]) ).
tff(c_548,plain,
! [Y0_63] :
( ( Y0_63 = '#skF_8' )
| ~ rp('#skF_6',Y0_63) ),
inference(demodulation,[status(thm),theory(equality)],[c_488,c_543]) ).
tff(c_572,plain,
'#skF_7' = '#skF_8',
inference(resolution,[status(thm)],[c_569,c_548]) ).
tff(c_578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_505,c_572]) ).
tff(c_585,plain,
! [Y0_66] : ~ rp('#skF_6',Y0_66),
inference(splitRight,[status(thm)],[c_504]) ).
tff(c_589,plain,
~ cc('#skF_6'),
inference(resolution,[status(thm)],[c_24,c_585]) ).
tff(c_593,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_488,c_589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS143+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 19:52:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.78/1.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.93/1.92
% 3.93/1.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.06/1.97
% 4.06/1.97 Inference rules
% 4.06/1.97 ----------------------
% 4.06/1.97 #Ref : 0
% 4.06/1.97 #Sup : 68
% 4.06/1.97 #Fact : 0
% 4.06/1.97 #Define : 0
% 4.06/1.97 #Split : 20
% 4.06/1.97 #Chain : 0
% 4.06/1.97 #Close : 0
% 4.06/1.97
% 4.06/1.97 Ordering : KBO
% 4.06/1.97
% 4.06/1.97 Simplification rules
% 4.06/1.97 ----------------------
% 4.06/1.97 #Subsume : 26
% 4.06/1.97 #Demod : 108
% 4.06/1.97 #Tautology : 49
% 4.06/1.97 #SimpNegUnit : 45
% 4.06/1.97 #BackRed : 4
% 4.06/1.97
% 4.06/1.97 #Partial instantiations: 0
% 4.06/1.97 #Strategies tried : 1
% 4.06/1.97
% 4.06/1.97 Timing (in seconds)
% 4.06/1.97 ----------------------
% 4.06/1.97 Preprocessing : 0.52
% 4.06/1.97 Parsing : 0.26
% 4.06/1.97 CNF conversion : 0.04
% 4.06/1.97 Main loop : 0.36
% 4.06/1.97 Inferencing : 0.11
% 4.06/1.97 Reduction : 0.10
% 4.06/1.97 Demodulation : 0.06
% 4.06/1.97 BG Simplification : 0.03
% 4.06/1.97 Subsumption : 0.09
% 4.06/1.97 Abstraction : 0.02
% 4.06/1.97 MUC search : 0.00
% 4.06/1.97 Cooper : 0.00
% 4.06/1.97 Total : 0.96
% 4.06/1.97 Index Insertion : 0.00
% 4.06/1.97 Index Deletion : 0.00
% 4.06/1.97 Index Matching : 0.00
% 4.06/1.97 BG Taut test : 0.00
%------------------------------------------------------------------------------