TSTP Solution File: KRS140+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS140+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 : n007.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 4.77s 2.16s
% Output : CNFRefutation 5.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 422 ( 265 unt; 14 typ; 0 def)
% Number of atoms : 728 ( 105 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 614 ( 294 ~; 308 |; 7 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 5 >; 1 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 178 (; 177 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rsymProp > xsd_string > xsd_integer > cowlThing > cowlNothing > #nlpp > ib > ia > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(rsymProp,type,
rsymProp: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(ib,type,
ib: $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(ia,type,
ia: $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_69,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_121,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X,Y,Z] :
( ( rsymProp(X,Y)
& rsymProp(Y,Z) )
=> rsymProp(X,Z) )
& ? [X] :
( rsymProp(ia,X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_75,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
tff(f_90,axiom,
rsymProp(ia,ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f_82,axiom,
! [X,Y] :
( rsymProp(X,Y)
=> ( ( Y = ia )
| ( Y = ib ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_87,axiom,
! [X,Y] :
( rsymProp(X,Y)
=> rsymProp(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_93,axiom,
rsymProp(ib,ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(c_14,plain,
! [X_15] : cowlThing(X_15),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_16,plain,
! [X_15] : ~ cowlNothing(X_15),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_44,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_63,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_44]) ).
tff(c_84,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_63]) ).
tff(c_124,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_20,plain,
! [X_16] :
( xsd_string(X_16)
| xsd_integer(X_16) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_42,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_65,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_42]) ).
tff(c_88,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_65]) ).
tff(c_123,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_128,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_20,c_123]) ).
tff(c_129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_128]) ).
tff(c_131,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_52,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_57,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_52]) ).
tff(c_72,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_57]) ).
tff(c_993,plain,
! [X_21] :
( xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_131,c_72]) ).
tff(c_994,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_993]) ).
tff(c_28,plain,
rsymProp(ia,ia),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_994,c_28]) ).
tff(c_997,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_993]) ).
tff(c_1001,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_997]) ).
tff(c_56,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_64,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_56]) ).
tff(c_86,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_64]) ).
tff(c_1024,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_131,c_86]) ).
tff(c_1025,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_1024]) ).
tff(c_1027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1025,c_28]) ).
tff(c_1028,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_1024]) ).
tff(c_1029,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_1028]) ).
tff(c_18,plain,
! [X_16] :
( ~ xsd_integer(X_16)
| ~ xsd_string(X_16) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_1032,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1029,c_18]) ).
tff(c_1036,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_1032]) ).
tff(c_1038,plain,
~ xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1028]) ).
tff(c_130,plain,
! [X_21] :
( ~ rsymProp(ia,X_21)
| rsymProp('#skF_6','#skF_7')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_136,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_130]) ).
tff(c_139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136,c_28]) ).
tff(c_140,plain,
( xsd_integer('#skF_4')
| rsymProp('#skF_6','#skF_7') ),
inference(splitRight,[status(thm)],[c_130]) ).
tff(c_142,plain,
rsymProp('#skF_6','#skF_7'),
inference(splitLeft,[status(thm)],[c_140]) ).
tff(c_22,plain,
! [Y_18,X_17] :
( ( ib = Y_18 )
| ( ia = Y_18 )
| ~ rsymProp(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_148,plain,
( ( ib = '#skF_7' )
| ( ia = '#skF_7' ) ),
inference(resolution,[status(thm)],[c_142,c_22]) ).
tff(c_158,plain,
ia = '#skF_7',
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_363,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_7',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_131,c_86]) ).
tff(c_364,plain,
! [X_21] : ~ rsymProp('#skF_7',X_21),
inference(splitLeft,[status(thm)],[c_363]) ).
tff(c_160,plain,
rsymProp('#skF_7','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_158,c_28]) ).
tff(c_367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_364,c_160]) ).
tff(c_368,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_363]) ).
tff(c_369,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_368]) ).
tff(c_373,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_369,c_18]) ).
tff(c_375,plain,
! [X_21] :
( xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_7',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_131,c_72]) ).
tff(c_376,plain,
! [X_21] : ~ rsymProp('#skF_7',X_21),
inference(splitLeft,[status(thm)],[c_375]) ).
tff(c_379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_376,c_160]) ).
tff(c_380,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_375]) ).
tff(c_381,plain,
rsymProp('#skF_5','#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_373,c_380]) ).
tff(c_24,plain,
! [Y_20,X_19] :
( rsymProp(Y_20,X_19)
| ~ rsymProp(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_384,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_381,c_24]) ).
tff(c_149,plain,
rsymProp('#skF_7','#skF_6'),
inference(resolution,[status(thm)],[c_142,c_24]) ).
tff(c_155,plain,
( ( ib = '#skF_6' )
| ( ia = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_149,c_22]) ).
tff(c_170,plain,
( ( ib = '#skF_6' )
| ( '#skF_7' = '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_155]) ).
tff(c_171,plain,
'#skF_7' = '#skF_6',
inference(splitLeft,[status(thm)],[c_170]) ).
tff(c_173,plain,
ia = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_171,c_158]) ).
tff(c_181,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_131,c_86]) ).
tff(c_182,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_181]) ).
tff(c_187,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_182]) ).
tff(c_175,plain,
rsymProp('#skF_6','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_171,c_142]) ).
tff(c_189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187,c_175]) ).
tff(c_190,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_181]) ).
tff(c_199,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_190]) ).
tff(c_203,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_199,c_18]) ).
tff(c_36,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_60,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_36]) ).
tff(c_78,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_60]) ).
tff(c_226,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_171,c_131,c_78]) ).
tff(c_227,plain,
! [X_21] :
( ~ rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(negUnitSimplification,[status(thm)],[c_203,c_226]) ).
tff(c_228,plain,
~ rsymProp('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_227]) ).
tff(c_232,plain,
! [X_21] :
( xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_131,c_72]) ).
tff(c_233,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(negUnitSimplification,[status(thm)],[c_228,c_203,c_232]) ).
tff(c_235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233,c_175]) ).
tff(c_236,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(splitRight,[status(thm)],[c_227]) ).
tff(c_240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_236,c_175]) ).
tff(c_242,plain,
~ xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_190]) ).
tff(c_241,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_190]) ).
tff(c_40,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_67,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_40]) ).
tff(c_92,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_67]) ).
tff(c_346,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_241,c_171,c_131,c_92]) ).
tff(c_347,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(negUnitSimplification,[status(thm)],[c_242,c_346]) ).
tff(c_249,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_241,c_24]) ).
tff(c_350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_347,c_249]) ).
tff(c_351,plain,
ib = '#skF_6',
inference(splitRight,[status(thm)],[c_170]) ).
tff(c_159,plain,
! [Y_18,X_17] :
( ( ib = Y_18 )
| ( Y_18 = '#skF_7' )
| ~ rsymProp(X_17,Y_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_22]) ).
tff(c_392,plain,
! [Y_37,X_38] :
( ( Y_37 = '#skF_6' )
| ( Y_37 = '#skF_7' )
| ~ rsymProp(X_38,Y_37) ),
inference(demodulation,[status(thm),theory(equality)],[c_351,c_159]) ).
tff(c_411,plain,
( ( '#skF_5' = '#skF_6' )
| ( '#skF_7' = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_384,c_392]) ).
tff(c_432,plain,
'#skF_7' = '#skF_5',
inference(splitLeft,[status(thm)],[c_411]) ).
tff(c_436,plain,
ia = '#skF_5',
inference(demodulation,[status(thm),theory(equality)],[c_432,c_158]) ).
tff(c_435,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_432,c_432,c_160]) ).
tff(c_486,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_5',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_436,c_435,c_432,c_131,c_78]) ).
tff(c_487,plain,
! [X_21] : ~ rsymProp('#skF_5',X_21),
inference(negUnitSimplification,[status(thm)],[c_373,c_486]) ).
tff(c_490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_487,c_435]) ).
tff(c_491,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_411]) ).
tff(c_509,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_7',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_142,c_491,c_131,c_78]) ).
tff(c_510,plain,
! [X_21] : ~ rsymProp('#skF_7',X_21),
inference(negUnitSimplification,[status(thm)],[c_373,c_509]) ).
tff(c_513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_510,c_160]) ).
tff(c_515,plain,
~ xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_368]) ).
tff(c_514,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_368]) ).
tff(c_522,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_514,c_24]) ).
tff(c_530,plain,
! [Y_41,X_42] :
( ( Y_41 = '#skF_6' )
| ( Y_41 = '#skF_7' )
| ~ rsymProp(X_42,Y_41) ),
inference(demodulation,[status(thm),theory(equality)],[c_351,c_159]) ).
tff(c_549,plain,
( ( '#skF_5' = '#skF_6' )
| ( '#skF_7' = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_522,c_530]) ).
tff(c_570,plain,
'#skF_7' = '#skF_5',
inference(splitLeft,[status(thm)],[c_549]) ).
tff(c_575,plain,
ia = '#skF_5',
inference(demodulation,[status(thm),theory(equality)],[c_570,c_158]) ).
tff(c_574,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_570,c_570,c_160]) ).
tff(c_622,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp('#skF_5',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_575,c_574,c_570,c_131,c_92]) ).
tff(c_623,plain,
! [X_21] : ~ rsymProp('#skF_5',X_21),
inference(negUnitSimplification,[status(thm)],[c_515,c_622]) ).
tff(c_626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_623,c_574]) ).
tff(c_627,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_549]) ).
tff(c_648,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp('#skF_7',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_142,c_627,c_131,c_92]) ).
tff(c_649,plain,
! [X_21] : ~ rsymProp('#skF_7',X_21),
inference(negUnitSimplification,[status(thm)],[c_515,c_648]) ).
tff(c_652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_649,c_160]) ).
tff(c_653,plain,
ib = '#skF_7',
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_666,plain,
( ( '#skF_7' = '#skF_6' )
| ( ia = '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_653,c_155]) ).
tff(c_667,plain,
ia = '#skF_6',
inference(splitLeft,[status(thm)],[c_666]) ).
tff(c_675,plain,
! [X_21] :
( xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_131,c_72]) ).
tff(c_676,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(splitLeft,[status(thm)],[c_675]) ).
tff(c_669,plain,
rsymProp('#skF_6','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_667,c_28]) ).
tff(c_683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_676,c_669]) ).
tff(c_684,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_675]) ).
tff(c_690,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_684]) ).
tff(c_724,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_131,c_86]) ).
tff(c_725,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(splitLeft,[status(thm)],[c_724]) ).
tff(c_728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_725,c_669]) ).
tff(c_729,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_724]) ).
tff(c_730,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_729]) ).
tff(c_733,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_730,c_18]) ).
tff(c_737,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_690,c_733]) ).
tff(c_739,plain,
~ xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_729]) ).
tff(c_738,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_729]) ).
tff(c_756,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_738,c_24]) ).
tff(c_655,plain,
! [Y_18,X_17] :
( ( Y_18 = '#skF_7' )
| ( ia = Y_18 )
| ~ rsymProp(X_17,Y_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_653,c_22]) ).
tff(c_691,plain,
! [Y_18,X_17] :
( ( Y_18 = '#skF_7' )
| ( Y_18 = '#skF_6' )
| ~ rsymProp(X_17,Y_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_655]) ).
tff(c_762,plain,
( ( '#skF_7' = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_756,c_691]) ).
tff(c_765,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_762]) ).
tff(c_776,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_142,c_765,c_131,c_92]) ).
tff(c_777,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(negUnitSimplification,[status(thm)],[c_739,c_776]) ).
tff(c_780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_777,c_669]) ).
tff(c_781,plain,
'#skF_7' = '#skF_5',
inference(splitRight,[status(thm)],[c_762]) ).
tff(c_32,plain,
rsymProp(ib,ib),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_656,plain,
rsymProp('#skF_7','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_653,c_653,c_32]) ).
tff(c_785,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_781,c_781,c_656]) ).
tff(c_834,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_785,c_781,c_131,c_92]) ).
tff(c_835,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(negUnitSimplification,[status(thm)],[c_739,c_834]) ).
tff(c_838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_835,c_756]) ).
tff(c_840,plain,
~ xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_684]) ).
tff(c_839,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_684]) ).
tff(c_843,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_839,c_24]) ).
tff(c_849,plain,
! [Y_49,X_50] :
( ( Y_49 = '#skF_7' )
| ( Y_49 = '#skF_6' )
| ~ rsymProp(X_50,Y_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_655]) ).
tff(c_868,plain,
( ( '#skF_7' = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_843,c_849]) ).
tff(c_889,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_868]) ).
tff(c_905,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_142,c_889,c_131,c_78]) ).
tff(c_906,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(negUnitSimplification,[status(thm)],[c_840,c_905]) ).
tff(c_909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_906,c_669]) ).
tff(c_910,plain,
'#skF_7' = '#skF_5',
inference(splitRight,[status(thm)],[c_868]) ).
tff(c_914,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_910,c_910,c_656]) ).
tff(c_968,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_914,c_910,c_131,c_78]) ).
tff(c_969,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(negUnitSimplification,[status(thm)],[c_840,c_968]) ).
tff(c_972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_969,c_843]) ).
tff(c_973,plain,
'#skF_7' = '#skF_6',
inference(splitRight,[status(thm)],[c_666]) ).
tff(c_975,plain,
rsymProp('#skF_6','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_973,c_973,c_656]) ).
tff(c_1037,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_1028]) ).
tff(c_1053,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_1037,c_24]) ).
tff(c_1002,plain,
! [Y_18,X_17] :
( ( Y_18 = '#skF_6' )
| ( ia = Y_18 )
| ~ rsymProp(X_17,Y_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_973,c_655]) ).
tff(c_1059,plain,
( ( '#skF_5' = '#skF_6' )
| ( ia = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_1053,c_1002]) ).
tff(c_1062,plain,
ia = '#skF_5',
inference(splitLeft,[status(thm)],[c_1059]) ).
tff(c_1077,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp('#skF_5',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1062,c_1037,c_973,c_131,c_92]) ).
tff(c_1078,plain,
! [X_21] : ~ rsymProp('#skF_5',X_21),
inference(negUnitSimplification,[status(thm)],[c_1038,c_1077]) ).
tff(c_1067,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1062,c_1062,c_28]) ).
tff(c_1081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1078,c_1067]) ).
tff(c_1082,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_1059]) ).
tff(c_1096,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_975,c_1082,c_973,c_131,c_92]) ).
tff(c_1097,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(negUnitSimplification,[status(thm)],[c_1038,c_1096]) ).
tff(c_1099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1097,c_28]) ).
tff(c_1101,plain,
~ xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_997]) ).
tff(c_1100,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_997]) ).
tff(c_1104,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_1100,c_24]) ).
tff(c_1110,plain,
! [Y_55,X_56] :
( ( Y_55 = '#skF_6' )
| ( ia = Y_55 )
| ~ rsymProp(X_56,Y_55) ),
inference(demodulation,[status(thm),theory(equality)],[c_973,c_655]) ).
tff(c_1123,plain,
( ( '#skF_5' = '#skF_6' )
| ( ia = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_1104,c_1110]) ).
tff(c_1136,plain,
ia = '#skF_5',
inference(splitLeft,[status(thm)],[c_1123]) ).
tff(c_1181,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_5',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1136,c_1100,c_973,c_131,c_78]) ).
tff(c_1182,plain,
! [X_21] : ~ rsymProp('#skF_5',X_21),
inference(negUnitSimplification,[status(thm)],[c_1101,c_1181]) ).
tff(c_1140,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1136,c_1136,c_28]) ).
tff(c_1185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1182,c_1140]) ).
tff(c_1186,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_1123]) ).
tff(c_1199,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_975,c_1186,c_973,c_131,c_78]) ).
tff(c_1200,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(negUnitSimplification,[status(thm)],[c_1101,c_1199]) ).
tff(c_1202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1200,c_28]) ).
tff(c_1203,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_140]) ).
tff(c_1204,plain,
~ rsymProp('#skF_6','#skF_7'),
inference(splitRight,[status(thm)],[c_140]) ).
tff(c_48,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_59,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_48]) ).
tff(c_76,plain,
! [X_21] :
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_59]) ).
tff(c_1210,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_131,c_76]) ).
tff(c_1211,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp(ia,X_21) ),
inference(negUnitSimplification,[status(thm)],[c_1204,c_1210]) ).
tff(c_1212,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_1211]) ).
tff(c_1214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1212,c_28]) ).
tff(c_1215,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1211]) ).
tff(c_1218,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1215,c_18]) ).
tff(c_1222,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_1218]) ).
tff(c_1223,plain,
! [X_21] :
( ~ rsymProp(ia,X_21)
| rsymProp('#skF_6','#skF_7')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_1230,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_1223]) ).
tff(c_1232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1230,c_28]) ).
tff(c_1233,plain,
( xsd_integer('#skF_4')
| rsymProp('#skF_6','#skF_7') ),
inference(splitRight,[status(thm)],[c_1223]) ).
tff(c_1234,plain,
rsymProp('#skF_6','#skF_7'),
inference(splitLeft,[status(thm)],[c_1233]) ).
tff(c_1240,plain,
( ( ib = '#skF_7' )
| ( ia = '#skF_7' ) ),
inference(resolution,[status(thm)],[c_1234,c_22]) ).
tff(c_1250,plain,
ia = '#skF_7',
inference(splitLeft,[status(thm)],[c_1240]) ).
tff(c_1224,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_50,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_66,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_50]) ).
tff(c_90,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_66]) ).
tff(c_1522,plain,
! [X_21] :
( xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_7',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1250,c_1224,c_90]) ).
tff(c_1523,plain,
! [X_21] : ~ rsymProp('#skF_7',X_21),
inference(splitLeft,[status(thm)],[c_1522]) ).
tff(c_1252,plain,
rsymProp('#skF_7','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1250,c_1250,c_28]) ).
tff(c_1526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1523,c_1252]) ).
tff(c_1527,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_1522]) ).
tff(c_1528,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_1527]) ).
tff(c_54,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_58,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_54]) ).
tff(c_74,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_58]) ).
tff(c_1530,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_7',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1250,c_1224,c_74]) ).
tff(c_1531,plain,
! [X_21] : ~ rsymProp('#skF_7',X_21),
inference(splitLeft,[status(thm)],[c_1530]) ).
tff(c_1534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1531,c_1252]) ).
tff(c_1535,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_1530]) ).
tff(c_1538,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_1535]) ).
tff(c_1541,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1538,c_18]) ).
tff(c_1545,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1528,c_1541]) ).
tff(c_1546,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_1535]) ).
tff(c_1562,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_1546,c_24]) ).
tff(c_1241,plain,
rsymProp('#skF_7','#skF_6'),
inference(resolution,[status(thm)],[c_1234,c_24]) ).
tff(c_1247,plain,
( ( ib = '#skF_6' )
| ( ia = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_1241,c_22]) ).
tff(c_1263,plain,
( ( ib = '#skF_6' )
| ( '#skF_7' = '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1250,c_1247]) ).
tff(c_1264,plain,
'#skF_7' = '#skF_6',
inference(splitLeft,[status(thm)],[c_1263]) ).
tff(c_1266,plain,
ia = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_1264,c_1250]) ).
tff(c_1297,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1266,c_1224,c_74]) ).
tff(c_1298,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(splitLeft,[status(thm)],[c_1297]) ).
tff(c_1265,plain,
rsymProp('#skF_6','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_1264,c_1264,c_1252]) ).
tff(c_1300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1298,c_1265]) ).
tff(c_1301,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_1297]) ).
tff(c_1302,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_1301]) ).
tff(c_1306,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1302,c_18]) ).
tff(c_1310,plain,
! [X_21] :
( xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1266,c_1224,c_90]) ).
tff(c_1311,plain,
! [X_21] :
( rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(negUnitSimplification,[status(thm)],[c_1306,c_1310]) ).
tff(c_1312,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(splitLeft,[status(thm)],[c_1311]) ).
tff(c_1314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1312,c_1265]) ).
tff(c_1315,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_1311]) ).
tff(c_34,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_61,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_34]) ).
tff(c_80,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_61]) ).
tff(c_1364,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1266,c_1315,c_1264,c_1224,c_80]) ).
tff(c_1365,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(negUnitSimplification,[status(thm)],[c_1306,c_1364]) ).
tff(c_1323,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_1315,c_24]) ).
tff(c_1368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1365,c_1323]) ).
tff(c_1370,plain,
~ xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1301]) ).
tff(c_1369,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_1301]) ).
tff(c_38,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_68,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_38]) ).
tff(c_94,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_68]) ).
tff(c_1467,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1266,c_1369,c_1264,c_1224,c_94]) ).
tff(c_1468,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(negUnitSimplification,[status(thm)],[c_1370,c_1467]) ).
tff(c_1382,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_1369,c_24]) ).
tff(c_1471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1468,c_1382]) ).
tff(c_1472,plain,
ib = '#skF_6',
inference(splitRight,[status(thm)],[c_1263]) ).
tff(c_1251,plain,
! [Y_18,X_17] :
( ( ib = Y_18 )
| ( Y_18 = '#skF_7' )
| ~ rsymProp(X_17,Y_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_1250,c_22]) ).
tff(c_1483,plain,
! [Y_18,X_17] :
( ( Y_18 = '#skF_6' )
| ( Y_18 = '#skF_7' )
| ~ rsymProp(X_17,Y_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_1472,c_1251]) ).
tff(c_1568,plain,
( ( '#skF_5' = '#skF_6' )
| ( '#skF_7' = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_1562,c_1483]) ).
tff(c_1571,plain,
'#skF_7' = '#skF_5',
inference(splitLeft,[status(thm)],[c_1568]) ).
tff(c_1519,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ rsymProp('#skF_7',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1250,c_1224,c_94]) ).
tff(c_1520,plain,
~ rsymProp('#skF_5','#skF_7'),
inference(splitLeft,[status(thm)],[c_1519]) ).
tff(c_1572,plain,
~ rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1571,c_1520]) ).
tff(c_1575,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1571,c_1571,c_1252]) ).
tff(c_1589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1572,c_1575]) ).
tff(c_1590,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_1568]) ).
tff(c_1595,plain,
~ rsymProp('#skF_6','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1590,c_1520]) ).
tff(c_1600,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1234,c_1595]) ).
tff(c_1601,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_1527]) ).
tff(c_1612,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_1601,c_24]) ).
tff(c_1620,plain,
( ( '#skF_5' = '#skF_6' )
| ( '#skF_7' = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_1612,c_1483]) ).
tff(c_1623,plain,
'#skF_7' = '#skF_5',
inference(splitLeft,[status(thm)],[c_1620]) ).
tff(c_1627,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1623,c_1623,c_1252]) ).
tff(c_1624,plain,
~ rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1623,c_1520]) ).
tff(c_1657,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1627,c_1624]) ).
tff(c_1658,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_1620]) ).
tff(c_1666,plain,
~ rsymProp('#skF_6','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1658,c_1520]) ).
tff(c_1671,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1234,c_1666]) ).
tff(c_1672,plain,
! [X_21] :
( ~ rsymProp('#skF_7',X_21)
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_1519]) ).
tff(c_1773,plain,
! [X_21] : ~ rsymProp('#skF_7',X_21),
inference(splitLeft,[status(thm)],[c_1672]) ).
tff(c_1776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1773,c_1252]) ).
tff(c_1777,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1672]) ).
tff(c_1781,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1777,c_18]) ).
tff(c_1673,plain,
rsymProp('#skF_5','#skF_7'),
inference(splitRight,[status(thm)],[c_1519]) ).
tff(c_1683,plain,
rsymProp('#skF_7','#skF_5'),
inference(resolution,[status(thm)],[c_1673,c_24]) ).
tff(c_1689,plain,
( ( '#skF_5' = '#skF_6' )
| ( '#skF_7' = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_1683,c_1483]) ).
tff(c_1692,plain,
'#skF_7' = '#skF_5',
inference(splitLeft,[status(thm)],[c_1689]) ).
tff(c_1698,plain,
ia = '#skF_5',
inference(demodulation,[status(thm),theory(equality)],[c_1692,c_1250]) ).
tff(c_1697,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1692,c_1692,c_1252]) ).
tff(c_1738,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_5',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1698,c_1697,c_1692,c_1224,c_80]) ).
tff(c_1739,plain,
! [X_21] : ~ rsymProp('#skF_5',X_21),
inference(splitLeft,[status(thm)],[c_1738]) ).
tff(c_1742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1739,c_1697]) ).
tff(c_1743,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_1738]) ).
tff(c_1745,plain,
! [X_21] :
( ~ rsymProp('#skF_5',X_21)
| xsd_string('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_1692,c_1672]) ).
tff(c_1746,plain,
! [X_21] : ~ rsymProp('#skF_5',X_21),
inference(splitLeft,[status(thm)],[c_1745]) ).
tff(c_1749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1746,c_1697]) ).
tff(c_1750,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_1745]) ).
tff(c_1755,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1750,c_18]) ).
tff(c_1759,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1743,c_1755]) ).
tff(c_1760,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_1689]) ).
tff(c_1783,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_7',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1250,c_1234,c_1760,c_1224,c_80]) ).
tff(c_1784,plain,
! [X_21] : ~ rsymProp('#skF_7',X_21),
inference(negUnitSimplification,[status(thm)],[c_1781,c_1783]) ).
tff(c_1787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1784,c_1252]) ).
tff(c_1788,plain,
ib = '#skF_7',
inference(splitRight,[status(thm)],[c_1240]) ).
tff(c_1802,plain,
( ( '#skF_7' = '#skF_6' )
| ( ia = '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1788,c_1247]) ).
tff(c_1803,plain,
ia = '#skF_6',
inference(splitLeft,[status(thm)],[c_1802]) ).
tff(c_1852,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1803,c_1224,c_74]) ).
tff(c_1853,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(splitLeft,[status(thm)],[c_1852]) ).
tff(c_1805,plain,
rsymProp('#skF_6','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_1803,c_1803,c_28]) ).
tff(c_1856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1853,c_1805]) ).
tff(c_1857,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_1852]) ).
tff(c_1858,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_1857]) ).
tff(c_1862,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_1858,c_18]) ).
tff(c_1867,plain,
! [X_21] :
( xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1803,c_1224,c_90]) ).
tff(c_1868,plain,
! [X_21] :
( rsymProp('#skF_5','#skF_6')
| ~ rsymProp('#skF_6',X_21) ),
inference(negUnitSimplification,[status(thm)],[c_1862,c_1867]) ).
tff(c_1869,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(splitLeft,[status(thm)],[c_1868]) ).
tff(c_1872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1869,c_1805]) ).
tff(c_1873,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_1868]) ).
tff(c_1883,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_1873,c_24]) ).
tff(c_1792,plain,
! [Y_18,X_17] :
( ( Y_18 = '#skF_7' )
| ( ia = Y_18 )
| ~ rsymProp(X_17,Y_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_1788,c_22]) ).
tff(c_1814,plain,
! [Y_18,X_17] :
( ( Y_18 = '#skF_7' )
| ( Y_18 = '#skF_6' )
| ~ rsymProp(X_17,Y_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_1803,c_1792]) ).
tff(c_1889,plain,
( ( '#skF_7' = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_1883,c_1814]) ).
tff(c_1892,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_1889]) ).
tff(c_1845,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_5','#skF_7')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1803,c_1224,c_80]) ).
tff(c_1846,plain,
~ rsymProp('#skF_5','#skF_7'),
inference(splitLeft,[status(thm)],[c_1845]) ).
tff(c_1895,plain,
~ rsymProp('#skF_6','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1892,c_1846]) ).
tff(c_1900,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1234,c_1895]) ).
tff(c_1901,plain,
'#skF_7' = '#skF_5',
inference(splitRight,[status(thm)],[c_1889]) ).
tff(c_1793,plain,
rsymProp('#skF_7','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1788,c_1788,c_32]) ).
tff(c_1906,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1901,c_1901,c_1793]) ).
tff(c_1903,plain,
~ rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1901,c_1846]) ).
tff(c_1925,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1906,c_1903]) ).
tff(c_1926,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_1857]) ).
tff(c_1943,plain,
rsymProp('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_1926,c_24]) ).
tff(c_1949,plain,
( ( '#skF_7' = '#skF_5' )
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_1943,c_1814]) ).
tff(c_1952,plain,
'#skF_5' = '#skF_6',
inference(splitLeft,[status(thm)],[c_1949]) ).
tff(c_1955,plain,
~ rsymProp('#skF_6','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_1952,c_1846]) ).
tff(c_1960,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1234,c_1955]) ).
tff(c_1961,plain,
'#skF_7' = '#skF_5',
inference(splitRight,[status(thm)],[c_1949]) ).
tff(c_1965,plain,
~ rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1961,c_1846]) ).
tff(c_1968,plain,
rsymProp('#skF_5','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1961,c_1961,c_1793]) ).
tff(c_1983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1965,c_1968]) ).
tff(c_1985,plain,
rsymProp('#skF_5','#skF_7'),
inference(splitRight,[status(thm)],[c_1845]) ).
tff(c_2006,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp('#skF_6',X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1803,c_1985,c_1224,c_94]) ).
tff(c_2007,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(splitLeft,[status(thm)],[c_2006]) ).
tff(c_2018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2007,c_1805]) ).
tff(c_2019,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_2006]) ).
tff(c_2023,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_2019,c_18]) ).
tff(c_1984,plain,
! [X_21] :
( ~ rsymProp('#skF_6',X_21)
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_1845]) ).
tff(c_2051,plain,
! [X_21] : ~ rsymProp('#skF_6',X_21),
inference(negUnitSimplification,[status(thm)],[c_2023,c_1984]) ).
tff(c_2054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2051,c_1805]) ).
tff(c_2055,plain,
'#skF_7' = '#skF_6',
inference(splitRight,[status(thm)],[c_1802]) ).
tff(c_2067,plain,
! [X_21] :
( xsd_integer('#skF_4')
| ~ rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_2055,c_1224,c_80]) ).
tff(c_2068,plain,
~ rsymProp('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_2067]) ).
tff(c_2079,plain,
! [X_21] :
( xsd_integer('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1224,c_90]) ).
tff(c_2080,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_2079]) ).
tff(c_2082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2080,c_28]) ).
tff(c_2083,plain,
( rsymProp('#skF_5','#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_2079]) ).
tff(c_2086,plain,
xsd_integer('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_2068,c_2083]) ).
tff(c_2108,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_5','#skF_6')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1224,c_74]) ).
tff(c_2109,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp(ia,X_21) ),
inference(negUnitSimplification,[status(thm)],[c_2068,c_2108]) ).
tff(c_2110,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_2109]) ).
tff(c_2112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2110,c_28]) ).
tff(c_2113,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_2109]) ).
tff(c_2116,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_2113,c_18]) ).
tff(c_2120,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2086,c_2116]) ).
tff(c_2122,plain,
rsymProp('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_2067]) ).
tff(c_2137,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_2122,c_2055,c_1224,c_94]) ).
tff(c_2138,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_2137]) ).
tff(c_2141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2138,c_28]) ).
tff(c_2142,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_2137]) ).
tff(c_2146,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_2142,c_18]) ).
tff(c_2121,plain,
! [X_21] :
( ~ rsymProp(ia,X_21)
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_2067]) ).
tff(c_2154,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(negUnitSimplification,[status(thm)],[c_2146,c_2121]) ).
tff(c_2156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2154,c_28]) ).
tff(c_2157,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_1233]) ).
tff(c_2158,plain,
~ rsymProp('#skF_6','#skF_7'),
inference(splitRight,[status(thm)],[c_1233]) ).
tff(c_46,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_62,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ cowlThing(X_21)
| ~ rsymProp(ia,X_21)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_46]) ).
tff(c_82,plain,
! [X_21] :
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_62]) ).
tff(c_2164,plain,
! [X_21] :
( xsd_string('#skF_4')
| rsymProp('#skF_6','#skF_7')
| ~ rsymProp(ia,X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_1224,c_82]) ).
tff(c_2165,plain,
! [X_21] :
( xsd_string('#skF_4')
| ~ rsymProp(ia,X_21) ),
inference(negUnitSimplification,[status(thm)],[c_2158,c_2164]) ).
tff(c_2166,plain,
! [X_21] : ~ rsymProp(ia,X_21),
inference(splitLeft,[status(thm)],[c_2165]) ).
tff(c_2168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2166,c_28]) ).
tff(c_2169,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_2165]) ).
tff(c_2172,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_2169,c_18]) ).
tff(c_2176,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2157,c_2172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS140+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % 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
% 0.17/0.36 % Computer : n007.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 19:56:38 EDT 2023
% 0.17/0.37 % CPUTime :
% 4.77/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.77/2.21
% 4.77/2.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.06/2.27
% 5.06/2.27 Inference rules
% 5.06/2.27 ----------------------
% 5.06/2.27 #Ref : 0
% 5.06/2.27 #Sup : 303
% 5.06/2.27 #Fact : 0
% 5.06/2.27 #Define : 0
% 5.06/2.27 #Split : 67
% 5.06/2.27 #Chain : 0
% 5.06/2.27 #Close : 0
% 5.06/2.27
% 5.06/2.27 Ordering : KBO
% 5.06/2.27
% 5.06/2.27 Simplification rules
% 5.06/2.27 ----------------------
% 5.06/2.27 #Subsume : 83
% 5.06/2.27 #Demod : 738
% 5.06/2.27 #Tautology : 353
% 5.06/2.27 #SimpNegUnit : 216
% 5.06/2.27 #BackRed : 220
% 5.06/2.27
% 5.06/2.27 #Partial instantiations: 0
% 5.06/2.27 #Strategies tried : 1
% 5.06/2.27
% 5.06/2.27 Timing (in seconds)
% 5.06/2.27 ----------------------
% 5.06/2.28 Preprocessing : 0.51
% 5.06/2.28 Parsing : 0.27
% 5.06/2.28 CNF conversion : 0.04
% 5.06/2.28 Main loop : 0.63
% 5.06/2.28 Inferencing : 0.19
% 5.06/2.28 Reduction : 0.21
% 5.06/2.28 Demodulation : 0.13
% 5.06/2.28 BG Simplification : 0.04
% 5.06/2.28 Subsumption : 0.14
% 5.06/2.28 Abstraction : 0.03
% 5.06/2.28 MUC search : 0.00
% 5.06/2.28 Cooper : 0.00
% 5.06/2.28 Total : 1.27
% 5.06/2.28 Index Insertion : 0.00
% 5.06/2.28 Index Deletion : 0.00
% 5.06/2.28 Index Matching : 0.00
% 5.06/2.28 BG Taut test : 0.00
%------------------------------------------------------------------------------