TSTP Solution File: COM144+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% 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 : n024.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 10:35:27 EDT 2023
% Result : Theorem 117.83s 71.12s
% Output : CNFRefutation 117.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 104
% Syntax : Number of formulae : 109 ( 6 unt; 101 typ; 0 def)
% Number of atoms : 12 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 265 ( 92 >; 173 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 96 ( 96 usr; 9 con; 0-5 aty)
% Number of variables : 15 (; 15 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ vtcheck > visFreeVar > visValue > visSomeType > visSomeExp > vsubst > vbind > vabs > vlookup > varrow > vapp > #nlpp > vvar > vsomeType > vsomeExp > vreduce > vgetSomeType > vgetSomeExp > vgensym > vnoType > vnoExp > vempty > ve1 > #skF_33 > #skF_47 > #skF_69 > #skF_62 > #skF_17 > #skF_76 > #skF_30 > #skF_34 > #skF_1 > #skF_57 > #skF_56 > #skF_13 > #skF_78 > #skF_27 > #skF_6 > #skF_44 > #skF_24 > #skF_53 > #skF_10 > #skF_48 > #skF_45 > #skF_63 > #skF_72 > #skF_67 > #skF_64 > #skF_79 > #skF_18 > #skF_60 > #skF_19 > #skF_65 > #skF_4 > #skF_12 > #skF_38 > #skF_40 > #skF_20 > #skF_15 > #skF_74 > #skF_25 > #skF_68 > #skF_32 > #skF_26 > #skF_36 > #skF_5 > #skF_37 > #skF_49 > #skF_16 > #skF_66 > #skF_54 > #skF_2 > #skF_11 > #skF_42 > #skF_51 > #skF_29 > #skF_7 > #skF_41 > #skF_9 > #skF_31 > #skF_71 > #skF_28 > #skF_50 > #skF_77 > #skF_46 > #skF_59 > #skF_58 > #skF_52 > #skF_3 > #skF_55 > #skF_39 > #skF_21 > #skF_70 > #skF_8 > #skF_43 > #skF_35 > #skF_61 > #skF_14 > #skF_22 > #skF_73 > #skF_23 > #skF_75
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff('#skF_69',type,
'#skF_69': ( $i * $i * $i ) > $i ).
tff('#skF_62',type,
'#skF_62': ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff(visSomeExp,type,
visSomeExp: $i > $o ).
tff('#skF_76',type,
'#skF_76': $i ).
tff(visValue,type,
visValue: $i > $o ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i ) > $i ).
tff(vsomeExp,type,
vsomeExp: $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(vsomeType,type,
vsomeType: $i > $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i ) > $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i ) > $i ).
tff('#skF_78',type,
'#skF_78': $i ).
tff(vgensym,type,
vgensym: $i > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i ) > $i ).
tff(ve1,type,
ve1: $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i ) > $i ).
tff(vnoType,type,
vnoType: $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i ) > $i ).
tff('#skF_63',type,
'#skF_63': ( $i * $i ) > $i ).
tff('#skF_72',type,
'#skF_72': ( $i * $i * $i ) > $i ).
tff(vsubst,type,
vsubst: ( $i * $i * $i ) > $i ).
tff('#skF_67',type,
'#skF_67': ( $i * $i * $i ) > $i ).
tff('#skF_64',type,
'#skF_64': ( $i * $i ) > $i ).
tff('#skF_79',type,
'#skF_79': $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff('#skF_60',type,
'#skF_60': ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i ) > $i ).
tff('#skF_65',type,
'#skF_65': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(vapp,type,
vapp: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff('#skF_74',type,
'#skF_74': ( $i * $i * $i ) > $i ).
tff(vgetSomeType,type,
vgetSomeType: $i > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_68',type,
'#skF_68': ( $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i * $i ) > $i ).
tff(vabs,type,
vabs: ( $i * $i * $i ) > $i ).
tff(vreduce,type,
vreduce: $i > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff('#skF_66',type,
'#skF_66': ( $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i ) > $i ).
tff(vbind,type,
vbind: ( $i * $i * $i ) > $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i ) > $i ).
tff(vlookup,type,
vlookup: ( $i * $i ) > $i ).
tff(vvar,type,
vvar: $i > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(visFreeVar,type,
visFreeVar: ( $i * $i ) > $o ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i ) > $i ).
tff('#skF_71',type,
'#skF_71': ( $i * $i * $i ) > $i ).
tff(vempty,type,
vempty: $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff('#skF_77',type,
'#skF_77': $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i ) > $i ).
tff('#skF_59',type,
'#skF_59': ( $i * $i ) > $i ).
tff('#skF_58',type,
'#skF_58': ( $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i ) > $i ).
tff(visSomeType,type,
visSomeType: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(vnoExp,type,
vnoExp: $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i ) > $i ).
tff(vtcheck,type,
vtcheck: ( $i * $i * $i ) > $o ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i ) > $i ).
tff('#skF_70',type,
'#skF_70': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i ) > $i ).
tff(varrow,type,
varrow: ( $i * $i ) > $i ).
tff(vgetSomeExp,type,
vgetSomeExp: $i > $i ).
tff('#skF_61',type,
'#skF_61': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_73',type,
'#skF_73': ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i ) > $i ).
tff('#skF_75',type,
'#skF_75': $i ).
tff(f_463,axiom,
! [VExp0] : ( vnoExp != vsomeExp(VExp0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',DIFF-noExp-someExp) ).
tff(f_490,axiom,
! [Vx,VS,Ve,VExp0,RESULT] :
( ( VExp0 = vabs(Vx,VS,Ve) )
=> ( ( RESULT = vreduce(VExp0) )
=> ( RESULT = vnoExp ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce1) ).
tff(f_717,negated_conjecture,
~ ! [Vx,VS,VC,Veout,VT] :
( ( ( vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) )
& vtcheck(VC,vabs(Vx,VS,ve1),VT) )
=> vtcheck(VC,Veout,VT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',T-Preservation-T-abs) ).
tff(c_42209,plain,
! [VExp0_195] : ( vsomeExp(VExp0_195) != vnoExp ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_42219,plain,
! [Vx_205,VS_206,Ve_207] : ( vreduce(vabs(Vx_205,VS_206,Ve_207)) = vnoExp ),
inference(cnfTransformation,[status(thm)],[f_490]) ).
tff(c_62294,plain,
vreduce(vabs('#skF_75','#skF_76',ve1)) = vsomeExp('#skF_78'),
inference(cnfTransformation,[status(thm)],[f_717]) ).
tff(c_62295,plain,
vsomeExp('#skF_78') = vnoExp,
inference(demodulation,[status(thm),theory(equality)],[c_42219,c_62294]) ).
tff(c_62296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42209,c_62295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% 0.08/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 23:34:15 EDT 2023
% 0.14/0.37 % CPUTime :
% 117.83/71.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 117.83/71.12
% 117.83/71.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 117.83/71.15
% 117.83/71.15 Inference rules
% 117.83/71.15 ----------------------
% 117.83/71.15 #Ref : 0
% 117.83/71.15 #Sup : 0
% 117.83/71.15 #Fact : 0
% 117.83/71.15 #Define : 0
% 117.83/71.15 #Split : 0
% 117.83/71.15 #Chain : 0
% 117.83/71.15 #Close : 0
% 117.83/71.15
% 117.83/71.15 Ordering : KBO
% 117.83/71.15
% 117.83/71.15 Simplification rules
% 117.83/71.15 ----------------------
% 117.83/71.15 #Subsume : 31131
% 117.83/71.15 #Demod : 1
% 117.83/71.15 #Tautology : 10
% 117.83/71.15 #SimpNegUnit : 1
% 117.83/71.15 #BackRed : 0
% 117.83/71.15
% 117.83/71.15 #Partial instantiations: 0
% 117.83/71.15 #Strategies tried : 1
% 117.83/71.15
% 117.83/71.15 Timing (in seconds)
% 117.83/71.15 ----------------------
% 117.83/71.15 Preprocessing : 15.13
% 117.83/71.15 Parsing : 0.37
% 117.83/71.15 CNF conversion : 0.21
% 117.83/71.15 Main loop : 54.84
% 117.83/71.15 Inferencing : 0.00
% 117.83/71.15 Reduction : 43.15
% 117.83/71.15 Demodulation : 36.22
% 117.83/71.15 BG Simplification : 6.30
% 117.83/71.16 Subsumption : 8.03
% 117.83/71.16 Abstraction : 2.64
% 117.83/71.16 MUC search : 0.00
% 117.83/71.16 Cooper : 0.00
% 117.83/71.16 Total : 70.02
% 117.83/71.16 Index Insertion : 0.00
% 117.83/71.16 Index Deletion : 0.00
% 117.83/71.16 Index Matching : 0.00
% 117.83/71.16 BG Taut test : 0.00
%------------------------------------------------------------------------------