%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS149+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 07:07:27 PM UTC 2025
% Result : Theorem 8.12s 2.81s
% Output : CNFRefutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 109 ( 56 unt; 0 typ; 0 def)
% Number of atoms : 357 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 490 ( 242 ~; 227 |; 15 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 116 ( 115 usr; 1 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 5 con; 0-1 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTOP > cTEST > cC98 > cC96 > 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 > cC216 > cC214 > cC212 > cC210 > cC208 > cC206 > cC204 > cC202 > cC200 > cC20 > cC2 > cC198 > cC196 > cC194 > cC192 > cC190 > cC188 > cC186 > cC184 > cC182 > cC180 > cC18 > cC178 > cC176 > cC174 > cC172 > cC170 > cC168 > cC166 > cC164 > cC162 > cC160 > cC16 > cC158 > cC156 > cC154 > cC152 > cC150 > cC148 > cC146 > cC144 > cC142 > cC140 > cC14 > cC138 > cC136 > cC134 > cC132 > cC130 > cC128 > cC126 > cC124 > cC122 > cC120 > cC12 > cC118 > cC116 > cC114 > cC112 > cC110 > cC108 > cC106 > cC104 > cC102 > cC100 > cC10 > #nlpp > iV3102 > #skF_53 > #skF_9 > #skF_36 > #skF_25 > #skF_7 > #skF_5 > #skF_57 > #skF_44 > #skF_21 > #skF_16 > #skF_2 > #skF_4 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_1 > #skF_31 > #skF_55 > #skF_22 > #skF_37 > #skF_56 > #skF_40 > #skF_8 > #skF_52 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_28 > #skF_10 > #skF_41 > #skF_38 > #skF_43 > #skF_39 > #skF_23 > #skF_33 > #skF_26 > #skF_13 > #skF_17 > #skF_3 > #skF_54 > #skF_11 > #skF_14 > #skF_48 > #skF_27 > #skF_12 > #skF_49 > #skF_46 > #skF_42 > #skF_50 > #skF_45 > #skF_30 > #skF_58 > #skF_6 > #skF_20 > #skF_51 > #skF_47
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_53',type,
'#skF_53': $i > $i ).
tff(cC186,type,
cC186: $i > $o ).
tff(cC104,type,
cC104: $i > $o ).
tff(cC94,type,
cC94: $i > $o ).
tff(cC8,type,
cC8: $i > $o ).
tff(cC70,type,
cC70: $i > $o ).
tff(cC142,type,
cC142: $i > $o ).
tff(cTOP,type,
cTOP: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_36',type,
'#skF_36': $i > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(cC166,type,
cC166: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(cC178,type,
cC178: $i > $o ).
tff('#skF_57',type,
'#skF_57': $i ).
tff('#skF_44',type,
'#skF_44': $i > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff(cC162,type,
cC162: $i > $o ).
tff(cC14,type,
cC14: $i > $o ).
tff(cC100,type,
cC100: $i > $o ).
tff(cC154,type,
cC154: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(cC130,type,
cC130: $i > $o ).
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(cC214,type,
cC214: $i > $o ).
tff(cC88,type,
cC88: $i > $o ).
tff(cC156,type,
cC156: $i > $o ).
tff(cC22,type,
cC22: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(cC112,type,
cC112: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cC34,type,
cC34: $i > $o ).
tff('#skF_35',type,
'#skF_35': $i > $i ).
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(cC168,type,
cC168: $i > $o ).
tff(cC52,type,
cC52: $i > $o ).
tff('#skF_55',type,
'#skF_55': $i ).
tff(cC118,type,
cC118: $i > $o ).
tff(cC208,type,
cC208: $i > $o ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(cC16,type,
cC16: $i > $o ).
tff(cC198,type,
cC198: $i > $o ).
tff(cC78,type,
cC78: $i > $o ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(cC180,type,
cC180: $i > $o ).
tff(cC194,type,
cC194: $i > $o ).
tff(cC10,type,
cC10: $i > $o ).
tff('#skF_56',type,
'#skF_56': $i ).
tff(cC148,type,
cC148: $i > $o ).
tff(cC108,type,
cC108: $i > $o ).
tff(cC176,type,
cC176: $i > $o ).
tff('#skF_40',type,
'#skF_40': $i > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(cC128,type,
cC128: $i > $o ).
tff(cC82,type,
cC82: $i > $o ).
tff(cC72,type,
cC72: $i > $o ).
tff(cC56,type,
cC56: $i > $o ).
tff(cC136,type,
cC136: $i > $o ).
tff(cTEST,type,
cTEST: $i > $o ).
tff(cC58,type,
cC58: $i > $o ).
tff('#skF_52',type,
'#skF_52': $i > $i ).
tff(cC12,type,
cC12: $i > $o ).
tff(cC114,type,
cC114: $i > $o ).
tff(cC96,type,
cC96: $i > $o ).
tff(cC46,type,
cC46: $i > $o ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
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('#skF_32',type,
'#skF_32': $i > $i ).
tff(cC64,type,
cC64: $i > $o ).
tff(cC206,type,
cC206: $i > $o ).
tff(cC48,type,
cC48: $i > $o ).
tff(cC38,type,
cC38: $i > $o ).
tff(cC124,type,
cC124: $i > $o ).
tff(cC6,type,
cC6: $i > $o ).
tff(cC106,type,
cC106: $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('#skF_41',type,
'#skF_41': $i > $i ).
tff(cC188,type,
cC188: $i > $o ).
tff(cC150,type,
cC150: $i > $o ).
tff('#skF_38',type,
'#skF_38': $i > $i ).
tff('#skF_43',type,
'#skF_43': $i > $i ).
tff(cC42,type,
cC42: $i > $o ).
tff(cC60,type,
cC60: $i > $o ).
tff(cC204,type,
cC204: $i > $o ).
tff(cC216,type,
cC216: $i > $o ).
tff(cC92,type,
cC92: $i > $o ).
tff(cC68,type,
cC68: $i > $o ).
tff('#skF_39',type,
'#skF_39': $i > $i ).
tff(cC62,type,
cC62: $i > $o ).
tff(cC80,type,
cC80: $i > $o ).
tff(cC98,type,
cC98: $i > $o ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(cC40,type,
cC40: $i > $o ).
tff('#skF_33',type,
'#skF_33': $i > $i ).
tff(cC54,type,
cC54: $i > $o ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff(cC184,type,
cC184: $i > $o ).
tff(rR1,type,
rR1: ( $i * $i ) > $o ).
tff(cC146,type,
cC146: $i > $o ).
tff(cC76,type,
cC76: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(cC170,type,
cC170: $i > $o ).
tff(cC202,type,
cC202: $i > $o ).
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_54',type,
'#skF_54': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(cC182,type,
cC182: $i > $o ).
tff(cC116,type,
cC116: $i > $o ).
tff(cC36,type,
cC36: $i > $o ).
tff(cC152,type,
cC152: $i > $o ).
tff(cC192,type,
cC192: $i > $o ).
tff(cC110,type,
cC110: $i > $o ).
tff(iV3102,type,
iV3102: $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(cC120,type,
cC120: $i > $o ).
tff(cC174,type,
cC174: $i > $o ).
tff(cC44,type,
cC44: $i > $o ).
tff(cC196,type,
cC196: $i > $o ).
tff(cC190,type,
cC190: $i > $o ).
tff(cC126,type,
cC126: $i > $o ).
tff(cC66,type,
cC66: $i > $o ).
tff(cC158,type,
cC158: $i > $o ).
tff('#skF_48',type,
'#skF_48': $i > $i ).
tff(cC4,type,
cC4: $i > $o ).
tff(cC144,type,
cC144: $i > $o ).
tff(cC172,type,
cC172: $i > $o ).
tff(cC134,type,
cC134: $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(cC122,type,
cC122: $i > $o ).
tff('#skF_49',type,
'#skF_49': $i > $i ).
tff(cC160,type,
cC160: $i > $o ).
tff('#skF_46',type,
'#skF_46': $i > $i ).
tff(cC138,type,
cC138: $i > $o ).
tff('#skF_42',type,
'#skF_42': $i > $i ).
tff(cC132,type,
cC132: $i > $o ).
tff(cC30,type,
cC30: $i > $o ).
tff(cC90,type,
cC90: $i > $o ).
tff('#skF_50',type,
'#skF_50': $i > $i ).
tff(cC140,type,
cC140: $i > $o ).
tff(cC24,type,
cC24: $i > $o ).
tff('#skF_45',type,
'#skF_45': $i > $i ).
tff(cC26,type,
cC26: $i > $o ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_58',type,
'#skF_58': $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(cC210,type,
cC210: $i > $o ).
tff(cC200,type,
cC200: $i > $o ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(cC102,type,
cC102: $i > $o ).
tff(cC212,type,
cC212: $i > $o ).
tff('#skF_51',type,
'#skF_51': $i > $i ).
tff('#skF_47',type,
'#skF_47': $i > $i ).
tff(cC164,type,
cC164: $i > $o ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_914,axiom,
cowlThing(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_109) ).
tff(f_1010,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC28(iV3102)
& cC64(iV3102)
& cC14(iV3102)
& cowlThing(iV3102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_912,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).
tff(f_910,axiom,
! [X] :
( cTEST(X)
<=> ( cC216(X)
& cC46(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).
tff(f_567,axiom,
! [X] :
( cC216(X)
<=> ( ~ cC214(X)
& cC64(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
tff(f_674,axiom,
! [X] :
( cC46(X)
<=> ( cC30(X)
& cC44(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
tff(f_608,axiom,
! [X] :
( cC30(X)
<=> ( cC14(X)
& cC28(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
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_648,plain,
cowlThing(iV3102),
inference(cnfTransformation,[status(thm)],[f_914]) ).
tff(c_682,plain,
( ~ xsd_integer('#skF_57')
| xsd_integer('#skF_58')
| ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56')
| cowlNothing('#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1010]) ).
tff(c_690,plain,
( ~ xsd_integer('#skF_57')
| xsd_integer('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56')
| cowlNothing('#skF_55') ),
inference(demodulation,[status(thm),theory(equality)],[c_648,c_682]) ).
tff(c_696,plain,
( ~ xsd_integer('#skF_57')
| xsd_integer('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_690]) ).
tff(c_703,plain,
( ~ xsd_integer('#skF_57')
| xsd_integer('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_696]) ).
tff(c_708,plain,
~ cC216(iV3102),
inference(splitLeft,[status(thm)],[c_703]) ).
tff(c_646,plain,
cTEST(iV3102),
inference(cnfTransformation,[status(thm)],[f_912]) ).
tff(c_947,plain,
! [X_362] :
( cC216(X_362)
| ~ cTEST(X_362) ),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_950,plain,
cC216(iV3102),
inference(resolution,[status(thm)],[c_646,c_947]) ).
tff(c_954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_708,c_950]) ).
tff(c_956,plain,
cC216(iV3102),
inference(splitRight,[status(thm)],[c_703]) ).
tff(c_2045,plain,
! [X_747] :
( cC64(X_747)
| ~ cC216(X_747) ),
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_684,plain,
( ~ xsd_string('#skF_57')
| xsd_string('#skF_58')
| ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56')
| cowlNothing('#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1010]) ).
tff(c_688,plain,
( ~ xsd_string('#skF_57')
| xsd_string('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56')
| cowlNothing('#skF_55') ),
inference(demodulation,[status(thm),theory(equality)],[c_648,c_684]) ).
tff(c_695,plain,
( ~ xsd_string('#skF_57')
| xsd_string('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_688]) ).
tff(c_701,plain,
( ~ xsd_string('#skF_57')
| xsd_string('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_695]) ).
tff(c_961,plain,
( ~ xsd_string('#skF_57')
| xsd_string('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102) ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_701]) ).
tff(c_962,plain,
~ cC46(iV3102),
inference(splitLeft,[status(thm)],[c_961]) ).
tff(c_1009,plain,
! [X_392] :
( cC46(X_392)
| ~ cTEST(X_392) ),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_1012,plain,
cC46(iV3102),
inference(resolution,[status(thm)],[c_646,c_1009]) ).
tff(c_1016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_962,c_1012]) ).
tff(c_1018,plain,
cC46(iV3102),
inference(splitRight,[status(thm)],[c_961]) ).
tff(c_680,plain,
( ~ xsd_string('#skF_57')
| xsd_integer('#skF_58')
| ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56')
| cowlNothing('#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1010]) ).
tff(c_692,plain,
( ~ xsd_string('#skF_57')
| xsd_integer('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56')
| cowlNothing('#skF_55') ),
inference(demodulation,[status(thm),theory(equality)],[c_648,c_680]) ).
tff(c_697,plain,
( ~ xsd_string('#skF_57')
| xsd_integer('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_692]) ).
tff(c_705,plain,
( ~ xsd_string('#skF_57')
| xsd_integer('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_697]) ).
tff(c_1028,plain,
( ~ xsd_string('#skF_57')
| xsd_integer('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102) ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_1018,c_705]) ).
tff(c_1029,plain,
~ cC30(iV3102),
inference(splitLeft,[status(thm)],[c_1028]) ).
tff(c_1197,plain,
! [X_466] :
( cC30(X_466)
| ~ cC46(X_466) ),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_1200,plain,
cC30(iV3102),
inference(resolution,[status(thm)],[c_1018,c_1197]) ).
tff(c_1204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1029,c_1200]) ).
tff(c_1206,plain,
cC30(iV3102),
inference(splitRight,[status(thm)],[c_1028]) ).
tff(c_1910,plain,
! [X_701] :
( cC28(X_701)
| ~ cC30(X_701) ),
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_1914,plain,
cC28(iV3102),
inference(resolution,[status(thm)],[c_1206,c_1910]) ).
tff(c_1875,plain,
! [X_693] :
( cC64(X_693)
| ~ cC216(X_693) ),
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_686,plain,
( ~ xsd_integer('#skF_57')
| xsd_string('#skF_58')
| ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56')
| cowlNothing('#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1010]) ).
tff(c_694,plain,
( ~ xsd_integer('#skF_57')
| xsd_string('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56')
| cowlNothing('#skF_55') ),
inference(demodulation,[status(thm),theory(equality)],[c_648,c_686]) ).
tff(c_698,plain,
( ~ xsd_integer('#skF_57')
| xsd_string('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ cowlThing('#skF_56') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_694]) ).
tff(c_707,plain,
( ~ xsd_integer('#skF_57')
| xsd_string('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_698]) ).
tff(c_1209,plain,
( ~ xsd_integer('#skF_57')
| xsd_string('#skF_58')
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102) ),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_1018,c_1206,c_707]) ).
tff(c_1210,plain,
~ cC44(iV3102),
inference(splitLeft,[status(thm)],[c_1209]) ).
tff(c_1498,plain,
! [X_562] :
( cC44(X_562)
| ~ cC46(X_562) ),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_1501,plain,
cC44(iV3102),
inference(resolution,[status(thm)],[c_1018,c_1498]) ).
tff(c_1505,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1210,c_1501]) ).
tff(c_1507,plain,
cC44(iV3102),
inference(splitRight,[status(thm)],[c_1209]) ).
tff(c_955,plain,
( ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ xsd_integer('#skF_57')
| xsd_integer('#skF_58') ),
inference(splitRight,[status(thm)],[c_703]) ).
tff(c_1511,plain,
( ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ xsd_integer('#skF_57')
| xsd_integer('#skF_58') ),
inference(demodulation,[status(thm),theory(equality)],[c_1507,c_1206,c_1018,c_955]) ).
tff(c_1512,plain,
~ xsd_integer('#skF_57'),
inference(splitLeft,[status(thm)],[c_1511]) ).
tff(c_1665,plain,
! [X_628] :
( xsd_string(X_628)
| xsd_integer(X_628) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_1514,plain,
! [X_566] :
( cC28(X_566)
| ~ cC30(X_566) ),
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_1518,plain,
cC28(iV3102),
inference(resolution,[status(thm)],[c_1206,c_1514]) ).
tff(c_1205,plain,
( ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ xsd_string('#skF_57')
| xsd_integer('#skF_58') ),
inference(splitRight,[status(thm)],[c_1028]) ).
tff(c_1551,plain,
( ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ xsd_string('#skF_57')
| xsd_integer('#skF_58') ),
inference(demodulation,[status(thm),theory(equality)],[c_1518,c_1507,c_1205]) ).
tff(c_1552,plain,
~ xsd_string('#skF_57'),
inference(splitLeft,[status(thm)],[c_1551]) ).
tff(c_1671,plain,
xsd_integer('#skF_57'),
inference(resolution,[status(thm)],[c_1665,c_1552]) ).
tff(c_1676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1512,c_1671]) ).
tff(c_1678,plain,
xsd_string('#skF_57'),
inference(splitRight,[status(thm)],[c_1551]) ).
tff(c_1017,plain,
( ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ xsd_string('#skF_57')
| xsd_string('#skF_58') ),
inference(splitRight,[status(thm)],[c_961]) ).
tff(c_1689,plain,
( ~ cC64(iV3102)
| ~ cC14(iV3102)
| xsd_string('#skF_58') ),
inference(demodulation,[status(thm),theory(equality)],[c_1678,c_1518,c_1507,c_1206,c_1017]) ).
tff(c_1690,plain,
~ cC14(iV3102),
inference(splitLeft,[status(thm)],[c_1689]) ).
tff(c_1811,plain,
! [X_671] :
( cC14(X_671)
| ~ cC30(X_671) ),
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_1814,plain,
cC14(iV3102),
inference(resolution,[status(thm)],[c_1206,c_1811]) ).
tff(c_1818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1690,c_1814]) ).
tff(c_1819,plain,
( ~ cC64(iV3102)
| xsd_string('#skF_58') ),
inference(splitRight,[status(thm)],[c_1689]) ).
tff(c_1845,plain,
~ cC64(iV3102),
inference(splitLeft,[status(thm)],[c_1819]) ).
tff(c_1878,plain,
~ cC216(iV3102),
inference(resolution,[status(thm)],[c_1875,c_1845]) ).
tff(c_1882,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_956,c_1878]) ).
tff(c_1884,plain,
cC64(iV3102),
inference(splitRight,[status(thm)],[c_1819]) ).
tff(c_1820,plain,
cC14(iV3102),
inference(splitRight,[status(thm)],[c_1689]) ).
tff(c_1677,plain,
( ~ cC14(iV3102)
| ~ cC64(iV3102)
| xsd_integer('#skF_58') ),
inference(splitRight,[status(thm)],[c_1551]) ).
tff(c_1886,plain,
xsd_integer('#skF_58'),
inference(demodulation,[status(thm),theory(equality)],[c_1884,c_1820,c_1677]) ).
tff(c_1883,plain,
xsd_string('#skF_58'),
inference(splitRight,[status(thm)],[c_1819]) ).
tff(c_1896,plain,
! [X_699] :
( ~ xsd_integer(X_699)
| ~ xsd_string(X_699) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_1899,plain,
~ xsd_integer('#skF_58'),
inference(resolution,[status(thm)],[c_1883,c_1896]) ).
tff(c_1906,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1886,c_1899]) ).
tff(c_1908,plain,
xsd_integer('#skF_57'),
inference(splitRight,[status(thm)],[c_1511]) ).
tff(c_1506,plain,
( ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ xsd_integer('#skF_57')
| xsd_string('#skF_58') ),
inference(splitRight,[status(thm)],[c_1209]) ).
tff(c_1916,plain,
( ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| xsd_string('#skF_58') ),
inference(demodulation,[status(thm),theory(equality)],[c_1908,c_1506]) ).
tff(c_1917,plain,
~ cC14(iV3102),
inference(splitLeft,[status(thm)],[c_1916]) ).
tff(c_1924,plain,
! [X_704] :
( cC14(X_704)
| ~ cC30(X_704) ),
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_1927,plain,
cC14(iV3102),
inference(resolution,[status(thm)],[c_1206,c_1924]) ).
tff(c_1931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1917,c_1927]) ).
tff(c_1933,plain,
cC14(iV3102),
inference(splitRight,[status(thm)],[c_1916]) ).
tff(c_1907,plain,
( ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| xsd_integer('#skF_58') ),
inference(splitRight,[status(thm)],[c_1511]) ).
tff(c_1984,plain,
( ~ cC64(iV3102)
| xsd_integer('#skF_58') ),
inference(demodulation,[status(thm),theory(equality)],[c_1914,c_1933,c_1907]) ).
tff(c_1985,plain,
~ cC64(iV3102),
inference(splitLeft,[status(thm)],[c_1984]) ).
tff(c_2051,plain,
~ cC216(iV3102),
inference(resolution,[status(thm)],[c_2045,c_1985]) ).
tff(c_2056,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_956,c_2051]) ).
tff(c_2057,plain,
xsd_integer('#skF_58'),
inference(splitRight,[status(thm)],[c_1984]) ).
tff(c_2058,plain,
cC64(iV3102),
inference(splitRight,[status(thm)],[c_1984]) ).
tff(c_1932,plain,
( ~ cC64(iV3102)
| ~ cC28(iV3102)
| xsd_string('#skF_58') ),
inference(splitRight,[status(thm)],[c_1916]) ).
tff(c_2060,plain,
( ~ cC64(iV3102)
| xsd_string('#skF_58') ),
inference(demodulation,[status(thm),theory(equality)],[c_1914,c_1932]) ).
tff(c_2061,plain,
~ cC64(iV3102),
inference(splitLeft,[status(thm)],[c_2060]) ).
tff(c_2063,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2058,c_2061]) ).
tff(c_2064,plain,
xsd_string('#skF_58'),
inference(splitRight,[status(thm)],[c_2060]) ).
tff(c_2104,plain,
! [X_764] :
( ~ xsd_integer(X_764)
| ~ xsd_string(X_764) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_2107,plain,
~ xsd_integer('#skF_58'),
inference(resolution,[status(thm)],[c_2064,c_2104]) ).
tff(c_2111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2057,c_2107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : KRS149+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.12 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.31 % Computer : n011.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Apr 8 03:00:18 EDT 2025
% 0.12/0.31 % CPUTime :
% 8.12/2.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.12/2.84
% 8.12/2.84 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------