TSTP Solution File: KRS147+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS147+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 : n019.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 18.61s 8.17s
% Output : CNFRefutation 18.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 132
% Syntax : Number of formulae : 347 ( 127 unt; 99 typ; 0 def)
% Number of atoms : 954 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 1381 ( 675 ~; 662 |; 30 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 85 >; 1 *; 0 +; 0 <<)
% Number of predicates : 55 ( 54 usr; 1 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 14 con; 0-1 aty)
% Number of variables : 65 (; 56 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTOP > cTEST > cC94 > cC92 > cC90 > cC88 > cC86 > cC84 > cC82 > cC80 > cC8 > cC78 > cC76 > cC74 > cC72 > cC70 > cC68 > cC66 > cC64 > cC62 > cC60 > cC6 > cC58 > cC56 > cC54 > cC52 > cC50 > cC48 > cC46 > cC44 > cC42 > cC40 > cC4 > cC38 > cC36 > cC34 > cC32 > cC30 > cC28 > cC26 > cC24 > cC22 > cC20 > cC2 > cC18 > cC16 > cC14 > cC12 > cC10 > #nlpp > iV8476 > iV8475 > iV8474 > iV8473 > iV8472 > iV8471 > iV8470 > iV8469 > iV8468 > iV8467 > #skF_9 > #skF_25 > #skF_33 > #skF_7 > #skF_5 > #skF_21 > #skF_16 > #skF_2 > #skF_4 > #skF_18 > #skF_24 > #skF_19 > #skF_1 > #skF_31 > #skF_22 > #skF_8 > #skF_29 > #skF_15 > #skF_28 > #skF_10 > #skF_32 > #skF_23 > #skF_26 > #skF_13 > #skF_17 > #skF_3 > #skF_11 > #skF_14 > #skF_35 > #skF_27 > #skF_12 > #skF_30 > #skF_6 > #skF_20 > #skF_34
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cC94,type,
cC94: $i > $o ).
tff(cC8,type,
cC8: $i > $o ).
tff(cC70,type,
cC70: $i > $o ).
tff(cTOP,type,
cTOP: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_33',type,
'#skF_33': $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff(cC14,type,
cC14: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(cC88,type,
cC88: $i > $o ).
tff(cC22,type,
cC22: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cC34,type,
cC34: $i > $o ).
tff(cC2,type,
cC2: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff(cC52,type,
cC52: $i > $o ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(cC16,type,
cC16: $i > $o ).
tff(cC78,type,
cC78: $i > $o ).
tff(cC10,type,
cC10: $i > $o ).
tff(iV8476,type,
iV8476: $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(cC82,type,
cC82: $i > $o ).
tff(cC72,type,
cC72: $i > $o ).
tff(cC56,type,
cC56: $i > $o ).
tff(cTEST,type,
cTEST: $i > $o ).
tff(cC58,type,
cC58: $i > $o ).
tff(iV8474,type,
iV8474: $i ).
tff(cC12,type,
cC12: $i > $o ).
tff(iV8468,type,
iV8468: $i ).
tff(cC46,type,
cC46: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff(cC84,type,
cC84: $i > $o ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(cC64,type,
cC64: $i > $o ).
tff(cC48,type,
cC48: $i > $o ).
tff(cC38,type,
cC38: $i > $o ).
tff(cC6,type,
cC6: $i > $o ).
tff(cC18,type,
cC18: $i > $o ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(cC42,type,
cC42: $i > $o ).
tff(cC60,type,
cC60: $i > $o ).
tff(iV8469,type,
iV8469: $i ).
tff(cC92,type,
cC92: $i > $o ).
tff(iV8471,type,
iV8471: $i ).
tff('#skF_32',type,
'#skF_32': $i ).
tff(cC68,type,
cC68: $i > $o ).
tff(cC62,type,
cC62: $i > $o ).
tff(cC80,type,
cC80: $i > $o ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(cC40,type,
cC40: $i > $o ).
tff(cC54,type,
cC54: $i > $o ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff(rR1,type,
rR1: ( $i * $i ) > $o ).
tff(cC76,type,
cC76: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(iV8473,type,
iV8473: $i ).
tff(iV8470,type,
iV8470: $i ).
tff(iV8467,type,
iV8467: $i ).
tff(cC28,type,
cC28: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff(cC74,type,
cC74: $i > $o ).
tff(cC86,type,
cC86: $i > $o ).
tff(cC50,type,
cC50: $i > $o ).
tff(cC32,type,
cC32: $i > $o ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(cC36,type,
cC36: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(cC44,type,
cC44: $i > $o ).
tff('#skF_35',type,
'#skF_35': $i ).
tff(cC66,type,
cC66: $i > $o ).
tff(cC4,type,
cC4: $i > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(cC20,type,
cC20: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(iV8475,type,
iV8475: $i ).
tff(cC30,type,
cC30: $i > $o ).
tff(cC90,type,
cC90: $i > $o ).
tff(cC24,type,
cC24: $i > $o ).
tff(cC26,type,
cC26: $i > $o ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(iV8472,type,
iV8472: $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff('#skF_34',type,
'#skF_34': $i ).
tff(f_505,axiom,
~ cC32(iV8474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
tff(f_475,axiom,
~ cC2(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
tff(f_478,axiom,
~ cC78(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
tff(f_362,axiom,
! [X] :
( cC80(X)
<=> ( ~ cC2(X)
& ~ cC78(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
tff(f_488,axiom,
~ cC2(iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_439,axiom,
cowlThing(iV8467),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
tff(f_480,axiom,
cowlThing(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
tff(f_490,axiom,
cowlThing(iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
tff(f_575,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472)
& cowlThing(iV8472)
& cC58(iV8472) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_494,axiom,
~ cC2(iV8473),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
tff(f_447,axiom,
rR1(iV8467,iV8473),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
tff(f_172,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
tff(f_461,axiom,
~ cC6(iV8469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
tff(f_449,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
tff(f_353,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC6(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
tff(f_46,axiom,
! [X] :
( cC10(X)
<=> ( cC4(X)
& cC8(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_446,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
tff(f_213,axiom,
! [X] :
( cC48(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
tff(f_370,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( rR1(X,Y)
& cC80(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
tff(f_514,axiom,
cC2(iV8476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
tff(f_491,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
tff(f_254,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( rR1(X,Y)
& cC2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
tff(f_271,axiom,
! [X] :
( cC60(X)
<=> ( cC58(X)
& ~ cC2(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
tff(f_470,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
tff(f_453,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
tff(f_62,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( rR1(X,Y)
& cTOP(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(f_88,axiom,
! [X] :
( cC20(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(f_451,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
tff(f_279,axiom,
! [X] :
( cC62(X)
<=> ? [Y] :
( rR1(X,Y)
& cC60(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
tff(f_452,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
tff(f_146,axiom,
! [X] :
( cC34(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC32(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
tff(c_354,plain,
~ cC32(iV8474),
inference(cnfTransformation,[status(thm)],[f_505]) ).
tff(c_334,plain,
~ cC2(iV8471),
inference(cnfTransformation,[status(thm)],[f_475]) ).
tff(c_336,plain,
~ cC78(iV8471),
inference(cnfTransformation,[status(thm)],[f_478]) ).
tff(c_52663,plain,
! [X_2097] :
( cC80(X_2097)
| cC78(X_2097)
| cC2(X_2097) ),
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_342,plain,
~ cC2(iV8472),
inference(cnfTransformation,[status(thm)],[f_488]) ).
tff(c_20009,plain,
! [X_1122] :
( cC80(X_1122)
| cC78(X_1122)
| cC2(X_1122) ),
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_238,plain,
! [X_119] :
( cC80(X_119)
| cC78(X_119)
| cC2(X_119) ),
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_2,plain,
! [X_1] : cowlThing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_4,plain,
! [X_1] : ~ cowlNothing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_298,plain,
cowlThing(iV8467),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_338,plain,
cowlThing(iV8471),
inference(cnfTransformation,[status(thm)],[f_480]) ).
tff(c_344,plain,
cowlThing(iV8472),
inference(cnfTransformation,[status(thm)],[f_490]) ).
tff(c_368,plain,
( ~ xsd_integer('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(cnfTransformation,[status(thm)],[f_575]) ).
tff(c_380,plain,
( ~ xsd_integer('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_368]) ).
tff(c_388,plain,
( ~ xsd_integer('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_380]) ).
tff(c_396,plain,
( ~ xsd_integer('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_388]) ).
tff(c_400,plain,
( ~ xsd_integer('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_396]) ).
tff(c_418,plain,
( ~ xsd_integer('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_400]) ).
tff(c_420,plain,
~ cC10(iV8467),
inference(splitLeft,[status(thm)],[c_418]) ).
tff(c_348,plain,
~ cC2(iV8473),
inference(cnfTransformation,[status(thm)],[f_494]) ).
tff(c_306,plain,
rR1(iV8467,iV8473),
inference(cnfTransformation,[status(thm)],[f_447]) ).
tff(c_3192,plain,
! [X_303,Y_304] :
( cC4(X_303)
| cC2(Y_304)
| ~ rR1(X_303,Y_304) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_3291,plain,
( cC4(iV8467)
| cC2(iV8473) ),
inference(resolution,[status(thm)],[c_306,c_3192]) ).
tff(c_3348,plain,
cC4(iV8467),
inference(negUnitSimplification,[status(thm)],[c_348,c_3291]) ).
tff(c_324,plain,
~ cC6(iV8469),
inference(cnfTransformation,[status(thm)],[f_461]) ).
tff(c_310,plain,
rR1(iV8467,iV8469),
inference(cnfTransformation,[status(thm)],[f_449]) ).
tff(c_3881,plain,
! [X_311,Y_312] :
( cC8(X_311)
| cC6(Y_312)
| ~ rR1(X_311,Y_312) ),
inference(cnfTransformation,[status(thm)],[f_353]) ).
tff(c_3977,plain,
( cC8(iV8467)
| cC6(iV8469) ),
inference(resolution,[status(thm)],[c_310,c_3881]) ).
tff(c_4035,plain,
cC8(iV8467),
inference(negUnitSimplification,[status(thm)],[c_324,c_3977]) ).
tff(c_10,plain,
! [X_3] :
( cC10(X_3)
| ~ cC8(X_3)
| ~ cC4(X_3) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_4048,plain,
( cC10(iV8467)
| ~ cC4(iV8467) ),
inference(resolution,[status(thm)],[c_4035,c_10]) ).
tff(c_4051,plain,
cC10(iV8467),
inference(demodulation,[status(thm),theory(equality)],[c_3348,c_4048]) ).
tff(c_4053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_4051]) ).
tff(c_4055,plain,
cC10(iV8467),
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_370,plain,
( ~ xsd_string('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(cnfTransformation,[status(thm)],[f_575]) ).
tff(c_378,plain,
( ~ xsd_string('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_370]) ).
tff(c_386,plain,
( ~ xsd_string('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_378]) ).
tff(c_394,plain,
( ~ xsd_string('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_386]) ).
tff(c_399,plain,
( ~ xsd_string('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_394]) ).
tff(c_416,plain,
( ~ xsd_string('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_399]) ).
tff(c_4058,plain,
( ~ xsd_string('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467) ),
inference(demodulation,[status(thm),theory(equality)],[c_4055,c_416]) ).
tff(c_4059,plain,
~ cC48(iV8467),
inference(splitLeft,[status(thm)],[c_4058]) ).
tff(c_304,plain,
rR1(iV8467,iV8471),
inference(cnfTransformation,[status(thm)],[f_446]) ).
tff(c_7205,plain,
! [X_473,Y_474] :
( cC48(X_473)
| cC2(Y_474)
| ~ rR1(X_473,Y_474) ),
inference(cnfTransformation,[status(thm)],[f_213]) ).
tff(c_7304,plain,
( cC48(iV8467)
| cC2(iV8471) ),
inference(resolution,[status(thm)],[c_304,c_7205]) ).
tff(c_7363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334,c_4059,c_7304]) ).
tff(c_7365,plain,
cC48(iV8467),
inference(splitRight,[status(thm)],[c_4058]) ).
tff(c_7393,plain,
! [X_491] :
( cC4(X_491)
| ~ cC10(X_491) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_372,plain,
( ~ xsd_integer('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(cnfTransformation,[status(thm)],[f_575]) ).
tff(c_376,plain,
( ~ xsd_integer('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_372]) ).
tff(c_384,plain,
( ~ xsd_integer('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_376]) ).
tff(c_392,plain,
( ~ xsd_integer('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_384]) ).
tff(c_398,plain,
( ~ xsd_integer('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_392]) ).
tff(c_414,plain,
( ~ xsd_integer('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_398]) ).
tff(c_7367,plain,
( ~ xsd_integer('#skF_34')
| xsd_string('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467) ),
inference(demodulation,[status(thm),theory(equality)],[c_4055,c_7365,c_414]) ).
tff(c_7368,plain,
~ cC4(iV8467),
inference(splitLeft,[status(thm)],[c_7367]) ).
tff(c_7396,plain,
~ cC10(iV8467),
inference(resolution,[status(thm)],[c_7393,c_7368]) ).
tff(c_7400,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4055,c_7396]) ).
tff(c_7402,plain,
cC4(iV8467),
inference(splitRight,[status(thm)],[c_7367]) ).
tff(c_366,plain,
( ~ xsd_string('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(cnfTransformation,[status(thm)],[f_575]) ).
tff(c_374,plain,
( ~ xsd_string('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_366]) ).
tff(c_382,plain,
( ~ xsd_string('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_374]) ).
tff(c_390,plain,
( ~ xsd_string('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33')
| cowlNothing('#skF_32') ),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_382]) ).
tff(c_397,plain,
( ~ xsd_string('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing('#skF_33') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_390]) ).
tff(c_412,plain,
( ~ xsd_string('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_397]) ).
tff(c_7404,plain,
( ~ xsd_string('#skF_34')
| xsd_integer('#skF_35')
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467) ),
inference(demodulation,[status(thm),theory(equality)],[c_4055,c_7365,c_7402,c_412]) ).
tff(c_7405,plain,
~ cC82(iV8467),
inference(splitLeft,[status(thm)],[c_7404]) ).
tff(c_13123,plain,
! [X_681,Y_682] :
( cC82(X_681)
| ~ cC80(Y_682)
| ~ rR1(X_681,Y_682) ),
inference(cnfTransformation,[status(thm)],[f_370]) ).
tff(c_13219,plain,
( cC82(iV8467)
| ~ cC80(iV8471) ),
inference(resolution,[status(thm)],[c_304,c_13123]) ).
tff(c_13277,plain,
~ cC80(iV8471),
inference(negUnitSimplification,[status(thm)],[c_7405,c_13219]) ).
tff(c_13305,plain,
( cC78(iV8471)
| cC2(iV8471) ),
inference(resolution,[status(thm)],[c_238,c_13277]) ).
tff(c_13309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334,c_336,c_13305]) ).
tff(c_13311,plain,
cC82(iV8467),
inference(splitRight,[status(thm)],[c_7404]) ).
tff(c_4054,plain,
( ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ xsd_integer('#skF_34')
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_13313,plain,
( ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ xsd_integer('#skF_34')
| xsd_integer('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_13311,c_7402,c_7365,c_4054]) ).
tff(c_13314,plain,
~ xsd_integer('#skF_34'),
inference(splitLeft,[status(thm)],[c_13313]) ).
tff(c_13335,plain,
! [X_700] :
( xsd_string(X_700)
| xsd_integer(X_700) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_13310,plain,
( ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ xsd_string('#skF_34')
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_7404]) ).
tff(c_13323,plain,
~ xsd_string('#skF_34'),
inference(splitLeft,[status(thm)],[c_13310]) ).
tff(c_13341,plain,
xsd_integer('#skF_34'),
inference(resolution,[status(thm)],[c_13335,c_13323]) ).
tff(c_13346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13314,c_13341]) ).
tff(c_13348,plain,
xsd_string('#skF_34'),
inference(splitRight,[status(thm)],[c_13310]) ).
tff(c_7364,plain,
( ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ xsd_string('#skF_34')
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_4058]) ).
tff(c_13375,plain,
( ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| xsd_string('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_13348,c_13311,c_7402,c_7364]) ).
tff(c_13376,plain,
~ cC58(iV8472),
inference(splitLeft,[status(thm)],[c_13375]) ).
tff(c_362,plain,
cC2(iV8476),
inference(cnfTransformation,[status(thm)],[f_514]) ).
tff(c_346,plain,
rR1(iV8472,iV8476),
inference(cnfTransformation,[status(thm)],[f_491]) ).
tff(c_17717,plain,
! [X_866,Y_867] :
( cC58(X_866)
| ~ cC2(Y_867)
| ~ rR1(X_866,Y_867) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_17816,plain,
( cC58(iV8472)
| ~ cC2(iV8476) ),
inference(resolution,[status(thm)],[c_346,c_17717]) ).
tff(c_17872,plain,
cC58(iV8472),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_17816]) ).
tff(c_17874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13376,c_17872]) ).
tff(c_17876,plain,
cC58(iV8472),
inference(splitRight,[status(thm)],[c_13375]) ).
tff(c_19625,plain,
! [X_1058] :
( cC60(X_1058)
| cC2(X_1058)
| ~ cC58(X_1058) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_12,plain,
! [X_3] :
( cC8(X_3)
| ~ cC10(X_3) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_13347,plain,
( ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_13310]) ).
tff(c_17880,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| xsd_integer('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_17876,c_13347]) ).
tff(c_17881,plain,
~ cC14(iV8467),
inference(splitLeft,[status(thm)],[c_17880]) ).
tff(c_330,plain,
cTOP(iV8470),
inference(cnfTransformation,[status(thm)],[f_470]) ).
tff(c_318,plain,
rR1(iV8467,iV8470),
inference(cnfTransformation,[status(thm)],[f_453]) ).
tff(c_19116,plain,
! [X_982,Y_983] :
( cC14(X_982)
| ~ cTOP(Y_983)
| ~ rR1(X_982,Y_983) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_19218,plain,
( cC14(iV8467)
| ~ cTOP(iV8470) ),
inference(resolution,[status(thm)],[c_318,c_19116]) ).
tff(c_19274,plain,
cC14(iV8467),
inference(demodulation,[status(thm),theory(equality)],[c_330,c_19218]) ).
tff(c_19276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17881,c_19274]) ).
tff(c_19278,plain,
cC14(iV8467),
inference(splitRight,[status(thm)],[c_17880]) ).
tff(c_17875,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_13375]) ).
tff(c_19282,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| xsd_string('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_19278,c_17875]) ).
tff(c_19283,plain,
~ cC8(iV8467),
inference(splitLeft,[status(thm)],[c_19282]) ).
tff(c_19286,plain,
~ cC10(iV8467),
inference(resolution,[status(thm)],[c_12,c_19283]) ).
tff(c_19290,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4055,c_19286]) ).
tff(c_19292,plain,
cC8(iV8467),
inference(splitRight,[status(thm)],[c_19282]) ).
tff(c_19277,plain,
( ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_17880]) ).
tff(c_19301,plain,
( ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| xsd_integer('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_19292,c_19277]) ).
tff(c_19302,plain,
~ cC60(iV8472),
inference(splitLeft,[status(thm)],[c_19301]) ).
tff(c_19628,plain,
( cC2(iV8472)
| ~ cC58(iV8472) ),
inference(resolution,[status(thm)],[c_19625,c_19302]) ).
tff(c_19637,plain,
cC2(iV8472),
inference(demodulation,[status(thm),theory(equality)],[c_17876,c_19628]) ).
tff(c_19639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_342,c_19637]) ).
tff(c_19641,plain,
cC60(iV8472),
inference(splitRight,[status(thm)],[c_19301]) ).
tff(c_19291,plain,
( ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_19282]) ).
tff(c_19676,plain,
( ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| xsd_string('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_19641,c_19291]) ).
tff(c_19677,plain,
~ cC80(iV8471),
inference(splitLeft,[status(thm)],[c_19676]) ).
tff(c_20012,plain,
( cC78(iV8471)
| cC2(iV8471) ),
inference(resolution,[status(thm)],[c_20009,c_19677]) ).
tff(c_20022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334,c_336,c_20012]) ).
tff(c_20024,plain,
cC80(iV8471),
inference(splitRight,[status(thm)],[c_19676]) ).
tff(c_19640,plain,
( ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_19301]) ).
tff(c_20042,plain,
( ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| xsd_integer('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_20024,c_19640]) ).
tff(c_20043,plain,
~ cC20(iV8467),
inference(splitLeft,[status(thm)],[c_20042]) ).
tff(c_26237,plain,
! [X_1276,Y_1277] :
( cC20(X_1276)
| cC2(Y_1277)
| ~ rR1(X_1276,Y_1277) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_26333,plain,
( cC20(iV8467)
| cC2(iV8471) ),
inference(resolution,[status(thm)],[c_304,c_26237]) ).
tff(c_26392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334,c_20043,c_26333]) ).
tff(c_26394,plain,
cC20(iV8467),
inference(splitRight,[status(thm)],[c_20042]) ).
tff(c_20023,plain,
( ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_19676]) ).
tff(c_26428,plain,
( ~ cC34(iV8467)
| ~ cC62(iV8467)
| xsd_string('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_26394,c_20023]) ).
tff(c_26429,plain,
~ cC62(iV8467),
inference(splitLeft,[status(thm)],[c_26428]) ).
tff(c_314,plain,
rR1(iV8467,iV8472),
inference(cnfTransformation,[status(thm)],[f_451]) ).
tff(c_33756,plain,
! [X_1437,Y_1438] :
( cC62(X_1437)
| ~ cC60(Y_1438)
| ~ rR1(X_1437,Y_1438) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_33873,plain,
( cC62(iV8467)
| ~ cC60(iV8472) ),
inference(resolution,[status(thm)],[c_314,c_33756]) ).
tff(c_33929,plain,
cC62(iV8467),
inference(demodulation,[status(thm),theory(equality)],[c_19641,c_33873]) ).
tff(c_33931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26429,c_33929]) ).
tff(c_33932,plain,
( ~ cC34(iV8467)
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_26428]) ).
tff(c_33934,plain,
~ cC34(iV8467),
inference(splitLeft,[status(thm)],[c_33932]) ).
tff(c_316,plain,
rR1(iV8467,iV8474),
inference(cnfTransformation,[status(thm)],[f_452]) ).
tff(c_39891,plain,
! [X_1574,Y_1575] :
( cC34(X_1574)
| cC32(Y_1575)
| ~ rR1(X_1574,Y_1575) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_40011,plain,
( cC34(iV8467)
| cC32(iV8474) ),
inference(resolution,[status(thm)],[c_316,c_39891]) ).
tff(c_40068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_354,c_33934,c_40011]) ).
tff(c_40069,plain,
xsd_string('#skF_35'),
inference(splitRight,[status(thm)],[c_33932]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_40074,plain,
~ xsd_integer('#skF_35'),
inference(resolution,[status(thm)],[c_40069,c_6]) ).
tff(c_40070,plain,
cC34(iV8467),
inference(splitRight,[status(thm)],[c_33932]) ).
tff(c_33933,plain,
cC62(iV8467),
inference(splitRight,[status(thm)],[c_26428]) ).
tff(c_26393,plain,
( ~ cC62(iV8467)
| ~ cC34(iV8467)
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_20042]) ).
tff(c_40076,plain,
xsd_integer('#skF_35'),
inference(demodulation,[status(thm),theory(equality)],[c_40070,c_33933,c_26393]) ).
tff(c_40077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40074,c_40076]) ).
tff(c_40079,plain,
xsd_integer('#skF_34'),
inference(splitRight,[status(thm)],[c_13313]) ).
tff(c_7401,plain,
( ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ xsd_integer('#skF_34')
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_7367]) ).
tff(c_40098,plain,
( ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| xsd_string('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_40079,c_13311,c_7401]) ).
tff(c_40099,plain,
~ cC58(iV8472),
inference(splitLeft,[status(thm)],[c_40098]) ).
tff(c_46162,plain,
! [X_1769,Y_1770] :
( cC58(X_1769)
| ~ cC2(Y_1770)
| ~ rR1(X_1769,Y_1770) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_46261,plain,
( cC58(iV8472)
| ~ cC2(iV8476) ),
inference(resolution,[status(thm)],[c_346,c_46162]) ).
tff(c_46317,plain,
cC58(iV8472),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_46261]) ).
tff(c_46319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40099,c_46317]) ).
tff(c_46321,plain,
cC58(iV8472),
inference(splitRight,[status(thm)],[c_40098]) ).
tff(c_51819,plain,
! [X_2009] :
( cC60(X_2009)
| cC2(X_2009)
| ~ cC58(X_2009) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_40078,plain,
( ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_13313]) ).
tff(c_46345,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| xsd_integer('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_46321,c_40078]) ).
tff(c_46346,plain,
~ cC14(iV8467),
inference(splitLeft,[status(thm)],[c_46345]) ).
tff(c_51343,plain,
! [X_1936,Y_1937] :
( cC14(X_1936)
| ~ cTOP(Y_1937)
| ~ rR1(X_1936,Y_1937) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_51445,plain,
( cC14(iV8467)
| ~ cTOP(iV8470) ),
inference(resolution,[status(thm)],[c_318,c_51343]) ).
tff(c_51501,plain,
cC14(iV8467),
inference(demodulation,[status(thm),theory(equality)],[c_330,c_51445]) ).
tff(c_51503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46346,c_51501]) ).
tff(c_51505,plain,
cC14(iV8467),
inference(splitRight,[status(thm)],[c_46345]) ).
tff(c_46320,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_40098]) ).
tff(c_51515,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| xsd_string('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_51505,c_46320]) ).
tff(c_51516,plain,
~ cC8(iV8467),
inference(splitLeft,[status(thm)],[c_51515]) ).
tff(c_51519,plain,
~ cC10(iV8467),
inference(resolution,[status(thm)],[c_12,c_51516]) ).
tff(c_51523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4055,c_51519]) ).
tff(c_51525,plain,
cC8(iV8467),
inference(splitRight,[status(thm)],[c_51515]) ).
tff(c_51504,plain,
( ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_46345]) ).
tff(c_51534,plain,
( ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| xsd_integer('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_51525,c_51504]) ).
tff(c_51535,plain,
~ cC60(iV8472),
inference(splitLeft,[status(thm)],[c_51534]) ).
tff(c_51822,plain,
( cC2(iV8472)
| ~ cC58(iV8472) ),
inference(resolution,[status(thm)],[c_51819,c_51535]) ).
tff(c_51831,plain,
cC2(iV8472),
inference(demodulation,[status(thm),theory(equality)],[c_46321,c_51822]) ).
tff(c_51833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_342,c_51831]) ).
tff(c_51835,plain,
cC60(iV8472),
inference(splitRight,[status(thm)],[c_51534]) ).
tff(c_51524,plain,
( ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_51515]) ).
tff(c_51849,plain,
( ~ cC20(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cC80(iV8471)
| xsd_string('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_51835,c_51524]) ).
tff(c_51850,plain,
~ cC80(iV8471),
inference(splitLeft,[status(thm)],[c_51849]) ).
tff(c_52666,plain,
( cC78(iV8471)
| cC2(iV8471) ),
inference(resolution,[status(thm)],[c_52663,c_51850]) ).
tff(c_52676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334,c_336,c_52666]) ).
tff(c_52678,plain,
cC80(iV8471),
inference(splitRight,[status(thm)],[c_51849]) ).
tff(c_51834,plain,
( ~ cC80(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_51534]) ).
tff(c_52728,plain,
( ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| xsd_integer('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_52678,c_51834]) ).
tff(c_52729,plain,
~ cC20(iV8467),
inference(splitLeft,[status(thm)],[c_52728]) ).
tff(c_53732,plain,
! [X_2188,Y_2189] :
( cC20(X_2188)
| cC2(Y_2189)
| ~ rR1(X_2188,Y_2189) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_53828,plain,
( cC20(iV8467)
| cC2(iV8471) ),
inference(resolution,[status(thm)],[c_304,c_53732]) ).
tff(c_53887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334,c_52729,c_53828]) ).
tff(c_53889,plain,
cC20(iV8467),
inference(splitRight,[status(thm)],[c_52728]) ).
tff(c_52677,plain,
( ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_51849]) ).
tff(c_53901,plain,
( ~ cC34(iV8467)
| ~ cC62(iV8467)
| xsd_string('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_53889,c_52677]) ).
tff(c_53902,plain,
~ cC62(iV8467),
inference(splitLeft,[status(thm)],[c_53901]) ).
tff(c_60705,plain,
! [X_2340,Y_2341] :
( cC62(X_2340)
| ~ cC60(Y_2341)
| ~ rR1(X_2340,Y_2341) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_60822,plain,
( cC62(iV8467)
| ~ cC60(iV8472) ),
inference(resolution,[status(thm)],[c_314,c_60705]) ).
tff(c_60878,plain,
cC62(iV8467),
inference(demodulation,[status(thm),theory(equality)],[c_51835,c_60822]) ).
tff(c_60880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53902,c_60878]) ).
tff(c_60881,plain,
( ~ cC34(iV8467)
| xsd_string('#skF_35') ),
inference(splitRight,[status(thm)],[c_53901]) ).
tff(c_60883,plain,
~ cC34(iV8467),
inference(splitLeft,[status(thm)],[c_60881]) ).
tff(c_62211,plain,
! [X_2426,Y_2427] :
( cC34(X_2426)
| cC32(Y_2427)
| ~ rR1(X_2426,Y_2427) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_62331,plain,
( cC34(iV8467)
| cC32(iV8474) ),
inference(resolution,[status(thm)],[c_316,c_62211]) ).
tff(c_62388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_354,c_60883,c_62331]) ).
tff(c_62389,plain,
xsd_string('#skF_35'),
inference(splitRight,[status(thm)],[c_60881]) ).
tff(c_62394,plain,
~ xsd_integer('#skF_35'),
inference(resolution,[status(thm)],[c_62389,c_6]) ).
tff(c_62390,plain,
cC34(iV8467),
inference(splitRight,[status(thm)],[c_60881]) ).
tff(c_60882,plain,
cC62(iV8467),
inference(splitRight,[status(thm)],[c_53901]) ).
tff(c_53888,plain,
( ~ cC62(iV8467)
| ~ cC34(iV8467)
| xsd_integer('#skF_35') ),
inference(splitRight,[status(thm)],[c_52728]) ).
tff(c_62410,plain,
xsd_integer('#skF_35'),
inference(demodulation,[status(thm),theory(equality)],[c_62390,c_60882,c_53888]) ).
tff(c_62411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62394,c_62410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS147+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
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 20:07:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 18.61/8.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.61/8.19
% 18.61/8.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.61/8.25
% 18.61/8.25 Inference rules
% 18.61/8.25 ----------------------
% 18.61/8.25 #Ref : 0
% 18.61/8.25 #Sup : 13770
% 18.61/8.25 #Fact : 0
% 18.61/8.25 #Define : 0
% 18.61/8.25 #Split : 1286
% 18.61/8.25 #Chain : 0
% 18.61/8.25 #Close : 0
% 18.61/8.25
% 18.61/8.25 Ordering : KBO
% 18.61/8.25
% 18.61/8.25 Simplification rules
% 18.61/8.25 ----------------------
% 18.61/8.25 #Subsume : 1687
% 18.61/8.25 #Demod : 934
% 18.61/8.25 #Tautology : 1535
% 18.61/8.25 #SimpNegUnit : 756
% 18.61/8.25 #BackRed : 0
% 18.61/8.25
% 18.61/8.25 #Partial instantiations: 0
% 18.61/8.25 #Strategies tried : 1
% 18.61/8.25
% 18.61/8.25 Timing (in seconds)
% 18.61/8.25 ----------------------
% 18.61/8.25 Preprocessing : 0.67
% 18.61/8.25 Parsing : 0.34
% 18.61/8.25 CNF conversion : 0.07
% 18.61/8.25 Main loop : 6.43
% 18.61/8.25 Inferencing : 1.72
% 18.61/8.25 Reduction : 2.04
% 18.61/8.25 Demodulation : 1.13
% 18.61/8.25 BG Simplification : 0.11
% 18.61/8.25 Subsumption : 2.00
% 18.61/8.25 Abstraction : 0.10
% 18.61/8.25 MUC search : 0.00
% 18.61/8.25 Cooper : 0.00
% 18.61/8.25 Total : 7.20
% 18.61/8.25 Index Insertion : 0.00
% 18.61/8.25 Index Deletion : 0.00
% 18.61/8.25 Index Matching : 0.00
% 18.61/8.25 BG Taut test : 0.00
%------------------------------------------------------------------------------