%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS156+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 : n006.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 07:07:48 PM UTC 2025
% Result : Theorem 7.05s 2.59s
% Output : CNFRefutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 68 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 234 ( 114 ~; 107 |; 9 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 134 ( 133 usr; 1 prp; 0-2 aty)
% Number of functors : 101 ( 101 usr; 7 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ra_Px9 > ra_Px6 > ra_Px50 > ra_Px5 > ra_Px49 > ra_Px47 > ra_Px46 > ra_Px45 > ra_Px44 > ra_Px43 > ra_Px41 > ra_Px40 > ra_Px36 > ra_Px34 > ra_Px33 > ra_Px32 > ra_Px31 > ra_Px30 > ra_Px29 > ra_Px24 > ra_Px20 > ra_Px2 > ra_Px19 > ra_Px18 > ra_Px15 > ra_Px11 > ra_Px10 > ra_Px1 > rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTOP > cTEST > cC98xcomp > cC98 > cC96 > cC94 > cC92 > cC90 > cC8xcomp > cC88 > cC86 > cC84 > cC82 > cC80xcomp > cC80 > cC8 > cC78 > cC76 > cC74 > cC72 > cC70 > cC68 > cC66 > cC64 > cC62 > cC60xcomp > cC60 > cC6 > cC58xcomp > cC58 > cC56 > cC54xcomp > cC54 > cC52 > cC50 > cC48 > cC46 > cC44xcomp > cC44 > cC42 > cC40 > cC4 > cC38 > cC36xcomp > cC36 > cC34xcomp > cC34 > cC32xcomp > cC32 > cC30xcomp > cC30 > cC2xcomp > cC28xcomp > cC28 > cC26xcomp > cC26 > cC24xcomp > cC24 > cC22 > cC20xcomp > cC20 > cC2 > cC18 > cC16 > cC140 > cC14 > cC138 > cC136 > cC134 > cC132xcomp > cC132 > cC130xcomp > cC130 > cC12xcomp > cC128xcomp > cC128 > cC126 > cC124 > cC122 > cC120 > cC12 > cC118xcomp > cC118 > cC116 > cC114xcomp > cC114 > cC112xcomp > cC112 > cC110xcomp > cC110 > cC10xcomp > cC108xcomp > cC108 > cC106xcomp > cC106 > cC104 > cC102xcomp > cC102 > cC100 > cC10 > #nlpp > iV5478 > iV5476 > iV5475 > #skF_53 > #skF_91 > #skF_9 > #skF_36 > #skF_25 > #skF_7 > #skF_5 > #skF_44 > #skF_21 > #skF_16 > #skF_61 > #skF_2 > #skF_4 > #skF_18 > #skF_24 > #skF_66 > #skF_35 > #skF_19 > #skF_1 > #skF_31 > #skF_75 > #skF_62 > #skF_73 > #skF_79 > #skF_22 > #skF_37 > #skF_72 > #skF_40 > #skF_8 > #skF_69 > #skF_68 > #skF_52 > #skF_64 > #skF_34 > #skF_58 > #skF_29 > #skF_15 > #skF_32 > #skF_93 > #skF_56 > #skF_60 > #skF_28 > #skF_71 > #skF_10 > #skF_41 > #skF_83 > #skF_82 > #skF_38 > #skF_43 > #skF_92 > #skF_80 > #skF_57 > #skF_90 > #skF_97 > #skF_74 > #skF_84 > #skF_39 > #skF_23 > #skF_59 > #skF_33 > #skF_26 > #skF_13 > #skF_67 > #skF_89 > #skF_78 > #skF_77 > #skF_17 > #skF_3 > #skF_54 > #skF_11 > #skF_94 > #skF_14 > #skF_95 > #skF_98 > #skF_48 > #skF_81 > #skF_88 > #skF_27 > #skF_96 > #skF_12 > #skF_49 > #skF_87 > #skF_86 > #skF_46 > #skF_42 > #skF_50 > #skF_45 > #skF_55 > #skF_30 > #skF_6 > #skF_65 > #skF_70 > #skF_63 > #skF_20 > #skF_76 > #skF_85 > #skF_51 > #skF_47
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cC34xcomp,type,
cC34xcomp: $i > $o ).
tff('#skF_53',type,
'#skF_53': $i > $i ).
tff(cC20xcomp,type,
cC20xcomp: $i > $o ).
tff(ra_Px47,type,
ra_Px47: ( $i * $i ) > $o ).
tff(cC104,type,
cC104: $i > $o ).
tff(cC94,type,
cC94: $i > $o ).
tff(cC8,type,
cC8: $i > $o ).
tff(ra_Px49,type,
ra_Px49: ( $i * $i ) > $o ).
tff('#skF_91',type,
'#skF_91': $i > $i ).
tff(cC70,type,
cC70: $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('#skF_5',type,
'#skF_5': $i > $i ).
tff(ra_Px5,type,
ra_Px5: ( $i * $i ) > $o ).
tff('#skF_44',type,
'#skF_44': $i > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff(cC14,type,
cC14: $i > $o ).
tff(cC100,type,
cC100: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(cC10xcomp,type,
cC10xcomp: $i > $o ).
tff('#skF_61',type,
'#skF_61': $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(ra_Px20,type,
ra_Px20: ( $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(ra_Px2,type,
ra_Px2: ( $i * $i ) > $o ).
tff(cC88,type,
cC88: $i > $o ).
tff(ra_Px30,type,
ra_Px30: ( $i * $i ) > $o ).
tff(cC28xcomp,type,
cC28xcomp: $i > $o ).
tff(cC22,type,
cC22: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(cC112,type,
cC112: $i > $o ).
tff('#skF_66',type,
'#skF_66': $i > $i ).
tff(iV5476,type,
iV5476: $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cC34,type,
cC34: $i > $o ).
tff('#skF_35',type,
'#skF_35': $i > $i ).
tff(cC128xcomp,type,
cC128xcomp: $i > $o ).
tff(cC114xcomp,type,
cC114xcomp: $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(cC108xcomp,type,
cC108xcomp: $i > $o ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff('#skF_75',type,
'#skF_75': $i > $i ).
tff(cC106xcomp,type,
cC106xcomp: $i > $o ).
tff(cC52,type,
cC52: $i > $o ).
tff('#skF_62',type,
'#skF_62': $i > $i ).
tff('#skF_73',type,
'#skF_73': $i > $i ).
tff('#skF_79',type,
'#skF_79': $i > $i ).
tff(cC110xcomp,type,
cC110xcomp: $i > $o ).
tff(cC118,type,
cC118: $i > $o ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(cC16,type,
cC16: $i > $o ).
tff(cC78,type,
cC78: $i > $o ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(cC10,type,
cC10: $i > $o ).
tff('#skF_72',type,
'#skF_72': $i > $i ).
tff(cC108,type,
cC108: $i > $o ).
tff(iV5478,type,
iV5478: $i ).
tff('#skF_40',type,
'#skF_40': $i > $i ).
tff(ra_Px6,type,
ra_Px6: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(cC128,type,
cC128: $i > $o ).
tff(cC82,type,
cC82: $i > $o ).
tff(cC98xcomp,type,
cC98xcomp: $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('#skF_69',type,
'#skF_69': $i > $i ).
tff('#skF_68',type,
'#skF_68': $i > $i ).
tff(cC58,type,
cC58: $i > $o ).
tff('#skF_52',type,
'#skF_52': $i > $i ).
tff(cC12,type,
cC12: $i > $o ).
tff('#skF_64',type,
'#skF_64': $i > $i ).
tff(cC114,type,
cC114: $i > $o ).
tff(ra_Px15,type,
ra_Px15: ( $i * $i ) > $o ).
tff(ra_Px31,type,
ra_Px31: ( $i * $i ) > $o ).
tff(cC96,type,
cC96: $i > $o ).
tff(ra_Px11,type,
ra_Px11: ( $i * $i ) > $o ).
tff(iV5475,type,
iV5475: $i ).
tff(ra_Px24,type,
ra_Px24: ( $i * $i ) > $o ).
tff(ra_Px41,type,
ra_Px41: ( $i * $i ) > $o ).
tff(cC46,type,
cC46: $i > $o ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
tff('#skF_58',type,
'#skF_58': $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(cC48,type,
cC48: $i > $o ).
tff('#skF_93',type,
'#skF_93': $i > $i ).
tff(ra_Px50,type,
ra_Px50: ( $i * $i ) > $o ).
tff('#skF_56',type,
'#skF_56': $i > $i ).
tff(cC80xcomp,type,
cC80xcomp: $i > $o ).
tff(cC38,type,
cC38: $i > $o ).
tff(cC124,type,
cC124: $i > $o ).
tff('#skF_60',type,
'#skF_60': $i > $i ).
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_71',type,
'#skF_71': $i > $i ).
tff(ra_Px40,type,
ra_Px40: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_41',type,
'#skF_41': $i > $i ).
tff('#skF_83',type,
'#skF_83': $i > $i ).
tff(cC36xcomp,type,
cC36xcomp: $i > $o ).
tff('#skF_82',type,
'#skF_82': $i > $i ).
tff('#skF_38',type,
'#skF_38': $i > $i ).
tff('#skF_43',type,
'#skF_43': $i > $i ).
tff(ra_Px9,type,
ra_Px9: ( $i * $i ) > $o ).
tff(cC42,type,
cC42: $i > $o ).
tff(ra_Px34,type,
ra_Px34: ( $i * $i ) > $o ).
tff(cC60,type,
cC60: $i > $o ).
tff(cC30xcomp,type,
cC30xcomp: $i > $o ).
tff(cC92,type,
cC92: $i > $o ).
tff('#skF_92',type,
'#skF_92': $i > $i ).
tff('#skF_80',type,
'#skF_80': $i > $i ).
tff(ra_Px33,type,
ra_Px33: ( $i * $i ) > $o ).
tff('#skF_57',type,
'#skF_57': $i > $i ).
tff('#skF_90',type,
'#skF_90': $i > $i ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(ra_Px43,type,
ra_Px43: ( $i * $i ) > $o ).
tff(cC8xcomp,type,
cC8xcomp: $i > $o ).
tff('#skF_97',type,
'#skF_97': $i ).
tff(cC68,type,
cC68: $i > $o ).
tff('#skF_74',type,
'#skF_74': $i > $i ).
tff(ra_Px32,type,
ra_Px32: ( $i * $i ) > $o ).
tff('#skF_84',type,
'#skF_84': $i > $i ).
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('#skF_59',type,
'#skF_59': $i > $i ).
tff(cC40,type,
cC40: $i > $o ).
tff(ra_Px19,type,
ra_Px19: ( $i * $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(rR1,type,
rR1: ( $i * $i ) > $o ).
tff(cC60xcomp,type,
cC60xcomp: $i > $o ).
tff(cC58xcomp,type,
cC58xcomp: $i > $o ).
tff(cC76,type,
cC76: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_67',type,
'#skF_67': $i > $i ).
tff(cC132xcomp,type,
cC132xcomp: $i > $o ).
tff('#skF_89',type,
'#skF_89': $i > $i ).
tff('#skF_78',type,
'#skF_78': $i > $i ).
tff('#skF_77',type,
'#skF_77': $i > $i ).
tff(cC28,type,
cC28: $i > $o ).
tff(cC2xcomp,type,
cC2xcomp: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff(cC74,type,
cC74: $i > $o ).
tff(cC86,type,
cC86: $i > $o ).
tff(cC12xcomp,type,
cC12xcomp: $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(cC116,type,
cC116: $i > $o ).
tff('#skF_94',type,
'#skF_94': $i > $i ).
tff(cC36,type,
cC36: $i > $o ).
tff(cC110,type,
cC110: $i > $o ).
tff(cC44xcomp,type,
cC44xcomp: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(cC120,type,
cC120: $i > $o ).
tff(cC130xcomp,type,
cC130xcomp: $i > $o ).
tff(cC44,type,
cC44: $i > $o ).
tff(ra_Px36,type,
ra_Px36: ( $i * $i ) > $o ).
tff(cC126,type,
cC126: $i > $o ).
tff('#skF_95',type,
'#skF_95': $i ).
tff(ra_Px29,type,
ra_Px29: ( $i * $i ) > $o ).
tff(cC66,type,
cC66: $i > $o ).
tff('#skF_98',type,
'#skF_98': $i ).
tff('#skF_48',type,
'#skF_48': $i > $i ).
tff('#skF_81',type,
'#skF_81': $i > $i ).
tff('#skF_88',type,
'#skF_88': $i > $i ).
tff(cC4,type,
cC4: $i > $o ).
tff(cC32xcomp,type,
cC32xcomp: $i > $o ).
tff(cC102xcomp,type,
cC102xcomp: $i > $o ).
tff(cC134,type,
cC134: $i > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff('#skF_96',type,
'#skF_96': $i ).
tff(cC20,type,
cC20: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(cC122,type,
cC122: $i > $o ).
tff(ra_Px10,type,
ra_Px10: ( $i * $i ) > $o ).
tff('#skF_49',type,
'#skF_49': $i > $i ).
tff('#skF_87',type,
'#skF_87': $i > $i ).
tff(cC118xcomp,type,
cC118xcomp: $i > $o ).
tff(ra_Px18,type,
ra_Px18: ( $i * $i ) > $o ).
tff('#skF_86',type,
'#skF_86': $i > $i ).
tff(cC26xcomp,type,
cC26xcomp: $i > $o ).
tff('#skF_46',type,
'#skF_46': $i > $i ).
tff(cC138,type,
cC138: $i > $o ).
tff(cC112xcomp,type,
cC112xcomp: $i > $o ).
tff('#skF_42',type,
'#skF_42': $i > $i ).
tff(ra_Px45,type,
ra_Px45: ( $i * $i ) > $o ).
tff(cC132,type,
cC132: $i > $o ).
tff(cC30,type,
cC30: $i > $o ).
tff(cC90,type,
cC90: $i > $o ).
tff(ra_Px46,type,
ra_Px46: ( $i * $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('#skF_55',type,
'#skF_55': $i > $i ).
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(cC24xcomp,type,
cC24xcomp: $i > $o ).
tff('#skF_65',type,
'#skF_65': $i > $i ).
tff(cC54xcomp,type,
cC54xcomp: $i > $o ).
tff('#skF_70',type,
'#skF_70': $i > $i ).
tff('#skF_63',type,
'#skF_63': $i > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff('#skF_76',type,
'#skF_76': $i > $i ).
tff(cC102,type,
cC102: $i > $o ).
tff(ra_Px44,type,
ra_Px44: ( $i * $i ) > $o ).
tff('#skF_85',type,
'#skF_85': $i > $i ).
tff('#skF_51',type,
'#skF_51': $i > $i ).
tff('#skF_47',type,
'#skF_47': $i > $i ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_935,axiom,
cowlThing(iV5475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).
tff(f_1002,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC116(iV5475)
& cC140(iV5475)
& cowlThing(iV5475)
& cC138(iV5475) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_939,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).
tff(f_931,axiom,
! [X] :
( cTEST(X)
<=> ( cC140(X)
& cC116(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
tff(f_376,axiom,
! [X] :
( cC140(X)
<=> ( cTOP(X)
& cC138(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
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_656,plain,
cowlThing(iV5475),
inference(cnfTransformation,[status(thm)],[f_935]) ).
tff(c_688,plain,
( ~ xsd_string('#skF_97')
| xsd_integer('#skF_98')
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96')
| cowlNothing('#skF_95') ),
inference(cnfTransformation,[status(thm)],[f_1002]) ).
tff(c_700,plain,
( ~ xsd_string('#skF_97')
| xsd_integer('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96')
| cowlNothing('#skF_95') ),
inference(demodulation,[status(thm),theory(equality)],[c_656,c_688]) ).
tff(c_705,plain,
( ~ xsd_string('#skF_97')
| xsd_integer('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_700]) ).
tff(c_715,plain,
( ~ xsd_string('#skF_97')
| xsd_integer('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_705]) ).
tff(c_719,plain,
~ cC116(iV5475),
inference(splitLeft,[status(thm)],[c_715]) ).
tff(c_660,plain,
cTEST(iV5475),
inference(cnfTransformation,[status(thm)],[f_939]) ).
tff(c_779,plain,
! [X_459] :
( cC116(X_459)
| ~ cTEST(X_459) ),
inference(cnfTransformation,[status(thm)],[f_931]) ).
tff(c_782,plain,
cC116(iV5475),
inference(resolution,[status(thm)],[c_660,c_779]) ).
tff(c_786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_719,c_782]) ).
tff(c_788,plain,
cC116(iV5475),
inference(splitRight,[status(thm)],[c_715]) ).
tff(c_692,plain,
( ~ xsd_string('#skF_97')
| xsd_string('#skF_98')
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96')
| cowlNothing('#skF_95') ),
inference(cnfTransformation,[status(thm)],[f_1002]) ).
tff(c_696,plain,
( ~ xsd_string('#skF_97')
| xsd_string('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96')
| cowlNothing('#skF_95') ),
inference(demodulation,[status(thm),theory(equality)],[c_656,c_692]) ).
tff(c_703,plain,
( ~ xsd_string('#skF_97')
| xsd_string('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_696]) ).
tff(c_711,plain,
( ~ xsd_string('#skF_97')
| xsd_string('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_703]) ).
tff(c_794,plain,
( ~ xsd_string('#skF_97')
| xsd_string('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475) ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_711]) ).
tff(c_795,plain,
~ cC140(iV5475),
inference(splitLeft,[status(thm)],[c_794]) ).
tff(c_813,plain,
! [X_474] :
( cC140(X_474)
| ~ cTEST(X_474) ),
inference(cnfTransformation,[status(thm)],[f_931]) ).
tff(c_816,plain,
cC140(iV5475),
inference(resolution,[status(thm)],[c_660,c_813]) ).
tff(c_820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_795,c_816]) ).
tff(c_822,plain,
cC140(iV5475),
inference(splitRight,[status(thm)],[c_794]) ).
tff(c_690,plain,
( ~ xsd_integer('#skF_97')
| xsd_integer('#skF_98')
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96')
| cowlNothing('#skF_95') ),
inference(cnfTransformation,[status(thm)],[f_1002]) ).
tff(c_698,plain,
( ~ xsd_integer('#skF_97')
| xsd_integer('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96')
| cowlNothing('#skF_95') ),
inference(demodulation,[status(thm),theory(equality)],[c_656,c_690]) ).
tff(c_704,plain,
( ~ xsd_integer('#skF_97')
| xsd_integer('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_698]) ).
tff(c_713,plain,
( ~ xsd_integer('#skF_97')
| xsd_integer('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_704]) ).
tff(c_829,plain,
( ~ xsd_integer('#skF_97')
| xsd_integer('#skF_98')
| ~ cC138(iV5475) ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_822,c_713]) ).
tff(c_830,plain,
~ cC138(iV5475),
inference(splitLeft,[status(thm)],[c_829]) ).
tff(c_849,plain,
! [X_491] :
( cC138(X_491)
| ~ cC140(X_491) ),
inference(cnfTransformation,[status(thm)],[f_376]) ).
tff(c_852,plain,
cC138(iV5475),
inference(resolution,[status(thm)],[c_822,c_849]) ).
tff(c_856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_830,c_852]) ).
tff(c_857,plain,
( ~ xsd_integer('#skF_97')
| xsd_integer('#skF_98') ),
inference(splitRight,[status(thm)],[c_829]) ).
tff(c_860,plain,
~ xsd_integer('#skF_97'),
inference(splitLeft,[status(thm)],[c_857]) ).
tff(c_903,plain,
! [X_513] :
( xsd_string(X_513)
| xsd_integer(X_513) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_858,plain,
cC138(iV5475),
inference(splitRight,[status(thm)],[c_829]) ).
tff(c_787,plain,
( ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ xsd_string('#skF_97')
| xsd_integer('#skF_98') ),
inference(splitRight,[status(thm)],[c_715]) ).
tff(c_879,plain,
( ~ xsd_string('#skF_97')
| xsd_integer('#skF_98') ),
inference(demodulation,[status(thm),theory(equality)],[c_858,c_822,c_787]) ).
tff(c_880,plain,
~ xsd_string('#skF_97'),
inference(splitLeft,[status(thm)],[c_879]) ).
tff(c_906,plain,
xsd_integer('#skF_97'),
inference(resolution,[status(thm)],[c_903,c_880]) ).
tff(c_910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_860,c_906]) ).
tff(c_911,plain,
xsd_integer('#skF_98'),
inference(splitRight,[status(thm)],[c_879]) ).
tff(c_912,plain,
xsd_string('#skF_97'),
inference(splitRight,[status(thm)],[c_879]) ).
tff(c_821,plain,
( ~ cC138(iV5475)
| ~ xsd_string('#skF_97')
| xsd_string('#skF_98') ),
inference(splitRight,[status(thm)],[c_794]) ).
tff(c_918,plain,
xsd_string('#skF_98'),
inference(demodulation,[status(thm),theory(equality)],[c_912,c_858,c_821]) ).
tff(c_969,plain,
! [X_545] :
( ~ xsd_integer(X_545)
| ~ xsd_string(X_545) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_975,plain,
~ xsd_integer('#skF_98'),
inference(resolution,[status(thm)],[c_918,c_969]) ).
tff(c_983,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_911,c_975]) ).
tff(c_984,plain,
xsd_integer('#skF_98'),
inference(splitRight,[status(thm)],[c_857]) ).
tff(c_985,plain,
xsd_integer('#skF_97'),
inference(splitRight,[status(thm)],[c_857]) ).
tff(c_694,plain,
( ~ xsd_integer('#skF_97')
| xsd_string('#skF_98')
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96')
| cowlNothing('#skF_95') ),
inference(cnfTransformation,[status(thm)],[f_1002]) ).
tff(c_702,plain,
( ~ xsd_integer('#skF_97')
| xsd_string('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96')
| cowlNothing('#skF_95') ),
inference(demodulation,[status(thm),theory(equality)],[c_656,c_694]) ).
tff(c_706,plain,
( ~ xsd_integer('#skF_97')
| xsd_string('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing('#skF_96') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_702]) ).
tff(c_717,plain,
( ~ xsd_integer('#skF_97')
| xsd_string('#skF_98')
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_706]) ).
tff(c_987,plain,
( ~ xsd_integer('#skF_97')
| xsd_string('#skF_98') ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_822,c_858,c_717]) ).
tff(c_988,plain,
~ xsd_integer('#skF_97'),
inference(splitLeft,[status(thm)],[c_987]) ).
tff(c_990,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_985,c_988]) ).
tff(c_991,plain,
xsd_string('#skF_98'),
inference(splitRight,[status(thm)],[c_987]) ).
tff(c_1061,plain,
! [X_585] :
( ~ xsd_integer(X_585)
| ~ xsd_string(X_585) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_1067,plain,
~ xsd_integer('#skF_98'),
inference(resolution,[status(thm)],[c_991,c_1061]) ).
tff(c_1072,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_984,c_1067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS156+1 : TPTP v9.0.0. Released v3.1.0.
% 0.04/0.13 % 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
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 03:00:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 7.05/2.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.34/2.60
% 7.34/2.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------