TSTP Solution File: SWW478+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWW478+1 : TPTP v8.1.2. Released v5.3.0.
% 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 : n027.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 11:07:32 EDT 2023

% Result   : Theorem 6.54s 2.69s
% Output   : CNFRefutation 6.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  319
% Syntax   : Number of formulae    :  322 (   5 unt; 317 typ;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  499 ( 255   >; 244   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :  315 ( 315 usr;  62 con; 0-5 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ is_bool > hBOOL > wTrt > widen_2090681816t_char > redp > fun_up424764369ion_ty > fun_up1149430426on_val > block_list_char > wf_pro755087577t_char > typeSa1234865140_sconf > seq_list_char > member840932460on_val > member773094996on_val > member763590124on_val > lAss_list_char > hAPP_l512744617ion_ty > hAPP_l207779698on_val > hAPP_f927043595l_bool > hAPP_f926562337l_bool > hAPP_f917296015l_bool > hAPP_f881985847l_bool > hAPP_f857351829l_bool > hAPP_f850751421l_bool > hAPP_f838396643l_bool > hAPP_f833559503l_bool > hAPP_f653692369l_bool > hAPP_f641257349l_bool > hAPP_f639265145l_bool > hAPP_f635218277l_bool > hAPP_f61040418l_bool > hAPP_f603925568l_bool > hAPP_f602593190on_val > hAPP_f600512025on_val > hAPP_f592397849l_bool > hAPP_f555424277l_bool > hAPP_f550652027l_bool > hAPP_f546724245l_bool > hAPP_f524589473l_bool > hAPP_f516738477l_bool > hAPP_f489055607l_bool > hAPP_f468299289l_bool > hAPP_f444383845l_bool > hAPP_f439412817l_bool > hAPP_f399538905l_bool > hAPP_f396019662l_bool > hAPP_f394183983on_val > hAPP_f365540729l_bool > hAPP_f348318673l_bool > hAPP_f318082871l_bool > hAPP_f2144092865l_bool > hAPP_f2135509569l_bool > hAPP_f2134824737l_bool > hAPP_f2121594859l_bool > hAPP_f2060496320y_bool > hAPP_f2057883639l_bool > hAPP_f2052660463l_bool > hAPP_f204771371l_bool > hAPP_f204556415on_val > hAPP_f2032347769l_bool > hAPP_f2011777102l_bool > hAPP_f1977633121l_bool > hAPP_f1930574389l_bool > hAPP_f1926378906on_val > hAPP_f1863694447l_bool > hAPP_f1849790461on_val > hAPP_f1840640125on_val > hAPP_f1825030711l_bool > hAPP_f181262431l_bool > hAPP_f1760682521l_bool > hAPP_f1734879897l_bool > hAPP_f1727192346on_val > hAPP_f1725502637l_bool > hAPP_f1712766199l_bool > hAPP_f1617787571l_bool > hAPP_f1591648613l_bool > hAPP_f1560238713l_bool > hAPP_f1523875321l_bool > hAPP_f1520199827on_val > hAPP_f1492320500l_bool > hAPP_f1452292669l_bool > hAPP_f1438732387l_bool > hAPP_f1363667773l_bool > hAPP_f1342895119l_bool > hAPP_f1309113673on_val > hAPP_f1308714617l_bool > hAPP_f1301559543l_bool > hAPP_f1276548047l_bool > hAPP_f1241216909l_bool > hAPP_f1233687287l_bool > hAPP_f1213370163y_bool > hAPP_f1175813647l_bool > hAPP_f1145256474l_bool > hAPP_f1074020887l_bool > hAPP_f1050935001l_bool > hAPP_f1043869573l_bool > hAPP_f1033709212l_bool > hAPP_f1008932791l_bool > hAPP_f10074679l_bool > hAPP_f1001225811y_bool > hAPP_e592495499l_bool > hAPP_e500528395l_bool > hAPP_e1833980889l_bool > hAPP_e1659493427on_val > hAPP_e108155315on_val > hAPP_bool_bool > hAPP_b589554111l_bool > hAPP_P789556885on_val > hAPP_P678729081l_bool > hAPP_P604205461on_val > hAPP_P595502227l_bool > hAPP_P282169671l_bool > hAPP_P2083594489on_val > hAPP_P2024243179on_val > hAPP_P1988153107l_bool > hAPP_P1953518277l_bool > hAPP_P1886180715on_val > hAPP_P1870962205on_val > hAPP_P1826803705l_bool > hAPP_P1776198677on_val > hAPP_P1760219823on_val > hAPP_P1708370145l_bool > hAPP_P1638898323l_bool > hAPP_P159683425l_bool > hAPP_P1134042693l_bool > hAPP_P1116729363l_bool > cOMBS_570216337l_bool > assigned > #nlpp > val_list_char > some_val > some_ty > red > lconf_496643946t_char > hp > hconf_97414254t_char > cOMBK_1294242658t_char > cOMBK_1097134891t_char > wf_J_mdecl > v_2 > v_1 > v > unit > t_1 > t > produc901351817on_val > produc899768717on_val > produc399384568l_bool > produc376702929l_bool > produc334393759l_bool > produc2128769400l_bool > produc2036005791l_bool > produc20018513l_bool > produc1988544340l_bool > produc1958875245l_bool > produc1911463199l_bool > produc1815960045l_bool > produc1441475159on_val > produc1275132703l_bool > produc1259058957on_val > produc121041439l_bool > produc1174947465on_val > produc1148763895on_val > produc1003071703on_val > p > none_val > none_ty > la > l_a > ha > h_a > fconj > ea > e_a > e > cOMBC_832625297y_bool > cOMBC_2027949654l_bool > cOMBB_877741809on_val > cOMBB_819439237t_char > cOMBB_740252943t_char > cOMBB_672625589on_val > cOMBB_635947099on_val > cOMBB_466903633on_val > cOMBB_383678192on_val > cOMBB_364363975on_val > cOMBB_338347573on_val > cOMBB_1759207793on_val > cOMBB_1750801836on_val > cOMBB_1718333400on_val > cOMBB_171276332on_val > cOMBB_1522540928on_val > cOMBB_1518282696on_val > cOMBB_1466889536on_val > cOMBB_1466662571on_val > cOMBB_1303934920on_val > cOMBB_1292453606on_val > cOMBB_1259202826on_val > cOMBB_1153617344on_val > cOMBB_1083177073on_val > cOMBB_1027621637t_char > #skF_53 > #skF_9 > #skF_114 > #skF_104 > #skF_7 > #skF_81 > #skF_37 > #skF_35 > #skF_111 > #skF_75 > #skF_44 > #skF_21 > #skF_41 > #skF_73 > #skF_16 > #skF_61 > #skF_18 > #skF_24 > #skF_113 > #skF_26 > #skF_30 > #skF_19 > #skF_93 > #skF_62 > #skF_115 > #skF_22 > #skF_32 > #skF_116 > #skF_72 > #skF_64 > #skF_70 > #skF_99 > #skF_8 > #skF_31 > #skF_38 > #skF_65 > #skF_79 > #skF_108 > #skF_78 > #skF_3 > #skF_69 > #skF_52 > #skF_34 > #skF_117 > #skF_77 > #skF_90 > #skF_58 > #skF_15 > #skF_101 > #skF_56 > #skF_60 > #skF_10 > #skF_94 > #skF_89 > #skF_88 > #skF_119 > #skF_74 > #skF_33 > #skF_118 > #skF_43 > #skF_66 > #skF_67 > #skF_110 > #skF_97 > #skF_42 > #skF_107 > #skF_112 > #skF_98 > #skF_36 > #skF_57 > #skF_71 > #skF_23 > #skF_59 > #skF_100 > #skF_28 > #skF_13 > #skF_103 > #skF_102 > #skF_95 > #skF_17 > #skF_54 > #skF_11 > #skF_25 > #skF_14 > #skF_84 > #skF_92 > #skF_87 > #skF_80 > #skF_2 > #skF_76 > #skF_48 > #skF_105 > #skF_40 > #skF_83 > #skF_106 > #skF_68 > #skF_82 > #skF_12 > #skF_91 > #skF_49 > #skF_29 > #skF_27 > #skF_85 > #skF_46 > #skF_86 > #skF_50 > #skF_1 > #skF_45 > #skF_55 > #skF_5 > #skF_96 > #skF_6 > #skF_4 > #skF_63 > #skF_20 > #skF_51 > #skF_47 > #skF_39 > #skF_109

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(fconj,type,
    fconj: $i ).

tff('#skF_53',type,
    '#skF_53': $i > $i ).

tff(hAPP_P604205461on_val,type,
    hAPP_P604205461on_val: ( $i * $i ) > $i ).

tff(hAPP_f600512025on_val,type,
    hAPP_f600512025on_val: ( $i * $i ) > $i ).

tff(hAPP_e1833980889l_bool,type,
    hAPP_e1833980889l_bool: ( $i * $i ) > $i ).

tff('#skF_9',type,
    '#skF_9': $i > $i ).

tff('#skF_114',type,
    '#skF_114': ( $i * $i * $i ) > $i ).

tff('#skF_104',type,
    '#skF_104': ( $i * $i ) > $i ).

tff(hAPP_f550652027l_bool,type,
    hAPP_f550652027l_bool: ( $i * $i ) > $i ).

tff(hAPP_e592495499l_bool,type,
    hAPP_e592495499l_bool: ( $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': $i > $i ).

tff('#skF_81',type,
    '#skF_81': ( $i * $i * $i ) > $i ).

tff('#skF_37',type,
    '#skF_37': ( $i * $i ) > $i ).

tff('#skF_35',type,
    '#skF_35': ( $i * $i ) > $i ).

tff('#skF_111',type,
    '#skF_111': ( $i * $i ) > $i ).

tff(red,type,
    red: $i > $i ).

tff('#skF_75',type,
    '#skF_75': ( $i * $i ) > $i ).

tff(cOMBB_819439237t_char,type,
    cOMBB_819439237t_char: $i ).

tff('#skF_44',type,
    '#skF_44': $i > $i ).

tff(hAPP_bool_bool,type,
    hAPP_bool_bool: ( $i * $i ) > $i ).

tff(cOMBB_1466889536on_val,type,
    cOMBB_1466889536on_val: $i ).

tff(hAPP_f1523875321l_bool,type,
    hAPP_f1523875321l_bool: ( $i * $i ) > $i ).

tff(hAPP_f546724245l_bool,type,
    hAPP_f546724245l_bool: ( $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': $i > $i ).

tff('#skF_41',type,
    '#skF_41': ( $i * $i ) > $i ).

tff('#skF_73',type,
    '#skF_73': ( $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': $i > $i ).

tff(hAPP_f1363667773l_bool,type,
    hAPP_f1363667773l_bool: ( $i * $i ) > $i ).

tff(cOMBB_1750801836on_val,type,
    cOMBB_1750801836on_val: $i ).

tff(cOMBB_1759207793on_val,type,
    cOMBB_1759207793on_val: $i ).

tff(produc20018513l_bool,type,
    produc20018513l_bool: $i ).

tff(produc376702929l_bool,type,
    produc376702929l_bool: $i ).

tff(some_ty,type,
    some_ty: $i > $i ).

tff(hAPP_f1977633121l_bool,type,
    hAPP_f1977633121l_bool: ( $i * $i ) > $i ).

tff('#skF_61',type,
    '#skF_61': $i > $i ).

tff(hAPP_f516738477l_bool,type,
    hAPP_f516738477l_bool: ( $i * $i ) > $i ).

tff(produc334393759l_bool,type,
    produc334393759l_bool: $i ).

tff(produc899768717on_val,type,
    produc899768717on_val: $i ).

tff('#skF_18',type,
    '#skF_18': $i > $i ).

tff(hAPP_f833559503l_bool,type,
    hAPP_f833559503l_bool: ( $i * $i ) > $i ).

tff(hAPP_f602593190on_val,type,
    hAPP_f602593190on_val: ( $i * $i ) > $i ).

tff(hAPP_f1342895119l_bool,type,
    hAPP_f1342895119l_bool: ( $i * $i ) > $i ).

tff(hconf_97414254t_char,type,
    hconf_97414254t_char: $i > $i ).

tff(ha,type,
    ha: $i ).

tff(t,type,
    t: $i ).

tff(none_val,type,
    none_val: $i ).

tff('#skF_24',type,
    '#skF_24': $i > $i ).

tff('#skF_113',type,
    '#skF_113': ( $i * $i * $i ) > $i ).

tff(hAPP_f1863694447l_bool,type,
    hAPP_f1863694447l_bool: ( $i * $i ) > $i ).

tff(hAPP_f2060496320y_bool,type,
    hAPP_f2060496320y_bool: ( $i * $i ) > $i ).

tff('#skF_26',type,
    '#skF_26': ( $i * $i ) > $i ).

tff(hAPP_f2121594859l_bool,type,
    hAPP_f2121594859l_bool: ( $i * $i ) > $i ).

tff(produc2128769400l_bool,type,
    produc2128769400l_bool: $i ).

tff('#skF_30',type,
    '#skF_30': ( $i * $i ) > $i ).

tff(hAPP_f2144092865l_bool,type,
    hAPP_f2144092865l_bool: ( $i * $i ) > $i ).

tff(hAPP_f396019662l_bool,type,
    hAPP_f396019662l_bool: ( $i * $i ) > $i ).

tff(is_bool,type,
    is_bool: $i > $o ).

tff(hAPP_f592397849l_bool,type,
    hAPP_f592397849l_bool: ( $i * $i ) > $i ).

tff(hAPP_P1134042693l_bool,type,
    hAPP_P1134042693l_bool: ( $i * $i ) > $i ).

tff(wf_J_mdecl,type,
    wf_J_mdecl: $i ).

tff('#skF_19',type,
    '#skF_19': $i > $i ).

tff(e_a,type,
    e_a: $i ).

tff('#skF_93',type,
    '#skF_93': ( $i * $i * $i ) > $i ).

tff(produc2036005791l_bool,type,
    produc2036005791l_bool: $i ).

tff(hAPP_f204556415on_val,type,
    hAPP_f204556415on_val: ( $i * $i ) > $i ).

tff(hAPP_P282169671l_bool,type,
    hAPP_P282169671l_bool: ( $i * $i ) > $i ).

tff('#skF_62',type,
    '#skF_62': $i > $i ).

tff(hAPP_P1760219823on_val,type,
    hAPP_P1760219823on_val: ( $i * $i ) > $i ).

tff('#skF_115',type,
    '#skF_115': ( $i * $i * $i ) > $i ).

tff('#skF_22',type,
    '#skF_22': $i > $i ).

tff(hAPP_f1301559543l_bool,type,
    hAPP_f1301559543l_bool: ( $i * $i ) > $i ).

tff(cOMBK_1294242658t_char,type,
    cOMBK_1294242658t_char: $i > $i ).

tff('#skF_32',type,
    '#skF_32': ( $i * $i ) > $i ).

tff('#skF_116',type,
    '#skF_116': ( $i * $i * $i ) > $i ).

tff(hAPP_P678729081l_bool,type,
    hAPP_P678729081l_bool: ( $i * $i ) > $i ).

tff(hAPP_f1276548047l_bool,type,
    hAPP_f1276548047l_bool: ( $i * $i ) > $i ).

tff(member840932460on_val,type,
    member840932460on_val: ( $i * $i ) > $i ).

tff(cOMBB_740252943t_char,type,
    cOMBB_740252943t_char: $i ).

tff('#skF_72',type,
    '#skF_72': ( $i * $i ) > $i ).

tff(hAPP_f2135509569l_bool,type,
    hAPP_f2135509569l_bool: ( $i * $i ) > $i ).

tff(v_2,type,
    v_2: $i ).

tff(hAPP_f1008932791l_bool,type,
    hAPP_f1008932791l_bool: ( $i * $i ) > $i ).

tff('#skF_64',type,
    '#skF_64': ( $i * $i ) > $i ).

tff('#skF_70',type,
    '#skF_70': ( $i * $i ) > $i ).

tff(hAPP_f2057883639l_bool,type,
    hAPP_f2057883639l_bool: ( $i * $i ) > $i ).

tff(hAPP_f881985847l_bool,type,
    hAPP_f881985847l_bool: ( $i * $i ) > $i ).

tff(hAPP_e500528395l_bool,type,
    hAPP_e500528395l_bool: ( $i * $i ) > $i ).

tff(hAPP_f365540729l_bool,type,
    hAPP_f365540729l_bool: ( $i * $i ) > $i ).

tff(hAPP_P2083594489on_val,type,
    hAPP_P2083594489on_val: ( $i * $i ) > $i ).

tff(hAPP_f204771371l_bool,type,
    hAPP_f204771371l_bool: ( $i * $i ) > $i ).

tff('#skF_99',type,
    '#skF_99': ( $i * $i * $i ) > $i ).

tff(hAPP_f399538905l_bool,type,
    hAPP_f399538905l_bool: ( $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': $i > $i ).

tff('#skF_31',type,
    '#skF_31': ( $i * $i ) > $i ).

tff(cOMBB_877741809on_val,type,
    cOMBB_877741809on_val: $i ).

tff('#skF_38',type,
    '#skF_38': ( $i * $i ) > $i ).

tff('#skF_65',type,
    '#skF_65': ( $i * $i ) > $i ).

tff(cOMBB_1303934920on_val,type,
    cOMBB_1303934920on_val: $i ).

tff(cOMBB_171276332on_val,type,
    cOMBB_171276332on_val: $i ).

tff('#skF_79',type,
    '#skF_79': ( $i * $i * $i ) > $i ).

tff('#skF_108',type,
    '#skF_108': ( $i * $i ) > $i ).

tff(hAPP_P1988153107l_bool,type,
    hAPP_P1988153107l_bool: ( $i * $i ) > $i ).

tff('#skF_78',type,
    '#skF_78': ( $i * $i * $i ) > $i ).

tff(cOMBB_466903633on_val,type,
    cOMBB_466903633on_val: $i ).

tff(hAPP_f1926378906on_val,type,
    hAPP_f1926378906on_val: ( $i * $i ) > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff(produc1815960045l_bool,type,
    produc1815960045l_bool: $i ).

tff('#skF_69',type,
    '#skF_69': ( $i * $i ) > $i ).

tff(hAPP_f489055607l_bool,type,
    hAPP_f489055607l_bool: ( $i * $i ) > $i ).

tff(member773094996on_val,type,
    member773094996on_val: ( $i * $i ) > $i ).

tff(cOMBB_1083177073on_val,type,
    cOMBB_1083177073on_val: $i ).

tff(hAPP_f1001225811y_bool,type,
    hAPP_f1001225811y_bool: ( $i * $i ) > $i ).

tff(hAPP_f1043869573l_bool,type,
    hAPP_f1043869573l_bool: ( $i * $i ) > $i ).

tff(t_1,type,
    t_1: $i ).

tff('#skF_52',type,
    '#skF_52': $i > $i ).

tff('#skF_34',type,
    '#skF_34': ( $i * $i ) > $i ).

tff('#skF_117',type,
    '#skF_117': ( $i * $i * $i ) > $i ).

tff(cOMBB_1027621637t_char,type,
    cOMBB_1027621637t_char: $i ).

tff(hAPP_f1074020887l_bool,type,
    hAPP_f1074020887l_bool: ( $i * $i ) > $i ).

tff(hAPP_f1725502637l_bool,type,
    hAPP_f1725502637l_bool: ( $i * $i ) > $i ).

tff('#skF_77',type,
    '#skF_77': ( $i * $i * $i ) > $i ).

tff(block_list_char,type,
    block_list_char: ( $i * $i * $i ) > $i ).

tff(hAPP_P789556885on_val,type,
    hAPP_P789556885on_val: ( $i * $i ) > $i ).

tff(produc1441475159on_val,type,
    produc1441475159on_val: $i ).

tff(produc1174947465on_val,type,
    produc1174947465on_val: $i ).

tff('#skF_90',type,
    '#skF_90': ( $i * $i * $i ) > $i ).

tff(produc1259058957on_val,type,
    produc1259058957on_val: $i ).

tff(wTrt,type,
    wTrt: ( $i * $i * $i * $i * $i ) > $i ).

tff(h_a,type,
    h_a: $i ).

tff('#skF_58',type,
    '#skF_58': $i > $i ).

tff('#skF_15',type,
    '#skF_15': $i > $i ).

tff(hAPP_f394183983on_val,type,
    hAPP_f394183983on_val: ( $i * $i ) > $i ).

tff(hAPP_f1145256474l_bool,type,
    hAPP_f1145256474l_bool: ( $i * $i ) > $i ).

tff(hAPP_f10074679l_bool,type,
    hAPP_f10074679l_bool: ( $i * $i ) > $i ).

tff('#skF_101',type,
    '#skF_101': ( $i * $i ) > $i ).

tff('#skF_56',type,
    '#skF_56': $i > $i ).

tff('#skF_60',type,
    '#skF_60': $i > $i ).

tff(fun_up424764369ion_ty,type,
    fun_up424764369ion_ty: ( $i * $i * $i ) > $i ).

tff(hAPP_f1308714617l_bool,type,
    hAPP_f1308714617l_bool: ( $i * $i ) > $i ).

tff(hAPP_f318082871l_bool,type,
    hAPP_f318082871l_bool: ( $i * $i ) > $i ).

tff(hAPP_P1953518277l_bool,type,
    hAPP_P1953518277l_bool: ( $i * $i ) > $i ).

tff(hAPP_f926562337l_bool,type,
    hAPP_f926562337l_bool: ( $i * $i ) > $i ).

tff(v_1,type,
    v_1: $i ).

tff('#skF_10',type,
    '#skF_10': $i > $i ).

tff(member763590124on_val,type,
    member763590124on_val: ( $i * $i ) > $i ).

tff('#skF_94',type,
    '#skF_94': ( $i * $i * $i ) > $i ).

tff(hAPP_l512744617ion_ty,type,
    hAPP_l512744617ion_ty: ( $i * $i ) > $i ).

tff('#skF_89',type,
    '#skF_89': ( $i * $i * $i ) > $i ).

tff(hAPP_e108155315on_val,type,
    hAPP_e108155315on_val: ( $i * $i ) > $i ).

tff(hAPP_f2052660463l_bool,type,
    hAPP_f2052660463l_bool: ( $i * $i ) > $i ).

tff(hAPP_f635218277l_bool,type,
    hAPP_f635218277l_bool: ( $i * $i ) > $i ).

tff('#skF_88',type,
    '#skF_88': ( $i * $i * $i ) > $i ).

tff('#skF_119',type,
    '#skF_119': ( $i * $i * $i ) > $i ).

tff('#skF_74',type,
    '#skF_74': ( $i * $i ) > $i ).

tff('#skF_33',type,
    '#skF_33': ( $i * $i ) > $i ).

tff(v,type,
    v: $i ).

tff(hAPP_l207779698on_val,type,
    hAPP_l207779698on_val: ( $i * $i ) > $i ).

tff(redp,type,
    redp: ( $i * $i * $i ) > $i ).

tff(hAPP_f1591648613l_bool,type,
    hAPP_f1591648613l_bool: ( $i * $i ) > $i ).

tff(typeSa1234865140_sconf,type,
    typeSa1234865140_sconf: ( $i * $i ) > $i ).

tff(hAPP_f61040418l_bool,type,
    hAPP_f61040418l_bool: ( $i * $i ) > $i ).

tff(hAPP_f1033709212l_bool,type,
    hAPP_f1033709212l_bool: ( $i * $i ) > $i ).

tff('#skF_118',type,
    '#skF_118': ( $i * $i * $i ) > $i ).

tff('#skF_43',type,
    '#skF_43': $i > $i ).

tff(hp,type,
    hp: $i > $i ).

tff('#skF_66',type,
    '#skF_66': ( $i * $i ) > $i ).

tff(hAPP_f1233687287l_bool,type,
    hAPP_f1233687287l_bool: ( $i * $i ) > $i ).

tff(none_ty,type,
    none_ty: $i ).

tff(hAPP_f2011777102l_bool,type,
    hAPP_f2011777102l_bool: ( $i * $i ) > $i ).

tff('#skF_67',type,
    '#skF_67': ( $i * $i ) > $i ).

tff(hAPP_f1840640125on_val,type,
    hAPP_f1840640125on_val: ( $i * $i ) > $i ).

tff('#skF_110',type,
    '#skF_110': ( $i * $i ) > $i ).

tff('#skF_97',type,
    '#skF_97': ( $i * $i * $i ) > $i ).

tff(hAPP_f927043595l_bool,type,
    hAPP_f927043595l_bool: ( $i * $i ) > $i ).

tff(hAPP_f1438732387l_bool,type,
    hAPP_f1438732387l_bool: ( $i * $i ) > $i ).

tff('#skF_42',type,
    '#skF_42': ( $i * $i ) > $i ).

tff(hAPP_f468299289l_bool,type,
    hAPP_f468299289l_bool: ( $i * $i ) > $i ).

tff(lconf_496643946t_char,type,
    lconf_496643946t_char: $i > $i ).

tff(hAPP_f1930574389l_bool,type,
    hAPP_f1930574389l_bool: ( $i * $i ) > $i ).

tff(cOMBB_672625589on_val,type,
    cOMBB_672625589on_val: $i ).

tff('#skF_107',type,
    '#skF_107': ( $i * $i ) > $i ).

tff('#skF_112',type,
    '#skF_112': ( $i * $i * $i ) > $i ).

tff(cOMBB_635947099on_val,type,
    cOMBB_635947099on_val: $i ).

tff(hAPP_f1241216909l_bool,type,
    hAPP_f1241216909l_bool: ( $i * $i ) > $i ).

tff('#skF_98',type,
    '#skF_98': ( $i * $i * $i ) > $i ).

tff(hAPP_P1826803705l_bool,type,
    hAPP_P1826803705l_bool: ( $i * $i ) > $i ).

tff(hAPP_P1708370145l_bool,type,
    hAPP_P1708370145l_bool: ( $i * $i ) > $i ).

tff(val_list_char,type,
    val_list_char: $i > $i ).

tff(cOMBB_1518282696on_val,type,
    cOMBB_1518282696on_val: $i ).

tff('#skF_36',type,
    '#skF_36': ( $i * $i ) > $i ).

tff('#skF_57',type,
    '#skF_57': $i > $i ).

tff('#skF_71',type,
    '#skF_71': ( $i * $i ) > $i ).

tff(hAPP_f181262431l_bool,type,
    hAPP_f181262431l_bool: ( $i * $i ) > $i ).

tff(hAPP_P159683425l_bool,type,
    hAPP_P159683425l_bool: ( $i * $i ) > $i ).

tff(cOMBB_1522540928on_val,type,
    cOMBB_1522540928on_val: $i ).

tff(hAPP_P1116729363l_bool,type,
    hAPP_P1116729363l_bool: ( $i * $i ) > $i ).

tff(hAPP_f524589473l_bool,type,
    hAPP_f524589473l_bool: ( $i * $i ) > $i ).

tff(wf_pro755087577t_char,type,
    wf_pro755087577t_char: ( $i * $i ) > $i ).

tff('#skF_23',type,
    '#skF_23': $i > $i ).

tff('#skF_59',type,
    '#skF_59': $i > $i ).

tff(cOMBC_832625297y_bool,type,
    cOMBC_832625297y_bool: $i ).

tff('#skF_100',type,
    '#skF_100': ( $i * $i ) > $i ).

tff(cOMBB_1292453606on_val,type,
    cOMBB_1292453606on_val: $i ).

tff(hAPP_f2032347769l_bool,type,
    hAPP_f2032347769l_bool: ( $i * $i ) > $i ).

tff(cOMBB_1259202826on_val,type,
    cOMBB_1259202826on_val: $i ).

tff('#skF_28',type,
    '#skF_28': ( $i * $i ) > $i ).

tff(hAPP_P1776198677on_val,type,
    hAPP_P1776198677on_val: ( $i * $i ) > $i ).

tff(hAPP_f1492320500l_bool,type,
    hAPP_f1492320500l_bool: ( $i * $i ) > $i ).

tff(produc1988544340l_bool,type,
    produc1988544340l_bool: $i ).

tff(hAPP_f838396643l_bool,type,
    hAPP_f838396643l_bool: ( $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff(hAPP_f1734879897l_bool,type,
    hAPP_f1734879897l_bool: ( $i * $i ) > $i ).

tff(cOMBK_1097134891t_char,type,
    cOMBK_1097134891t_char: $i > $i ).

tff(hAPP_e1659493427on_val,type,
    hAPP_e1659493427on_val: ( $i * $i ) > $i ).

tff('#skF_103',type,
    '#skF_103': ( $i * $i ) > $i ).

tff(produc1911463199l_bool,type,
    produc1911463199l_bool: $i ).

tff(hAPP_f653692369l_bool,type,
    hAPP_f653692369l_bool: ( $i * $i ) > $i ).

tff(hAPP_f444383845l_bool,type,
    hAPP_f444383845l_bool: ( $i * $i ) > $i ).

tff(hAPP_f1050935001l_bool,type,
    hAPP_f1050935001l_bool: ( $i * $i ) > $i ).

tff('#skF_102',type,
    '#skF_102': ( $i * $i ) > $i ).

tff(produc901351817on_val,type,
    produc901351817on_val: $i ).

tff(produc121041439l_bool,type,
    produc121041439l_bool: $i ).

tff(ea,type,
    ea: $i ).

tff('#skF_95',type,
    '#skF_95': ( $i * $i * $i ) > $i ).

tff(produc1958875245l_bool,type,
    produc1958875245l_bool: $i ).

tff(la,type,
    la: $i ).

tff(cOMBB_338347573on_val,type,
    cOMBB_338347573on_val: $i ).

tff(hAPP_P1886180715on_val,type,
    hAPP_P1886180715on_val: ( $i * $i ) > $i ).

tff('#skF_17',type,
    '#skF_17': $i > $i ).

tff('#skF_54',type,
    '#skF_54': $i > $i ).

tff(hAPP_f348318673l_bool,type,
    hAPP_f348318673l_bool: ( $i * $i ) > $i ).

tff(hAPP_f555424277l_bool,type,
    hAPP_f555424277l_bool: ( $i * $i ) > $i ).

tff(l_a,type,
    l_a: $i ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

tff(hAPP_f1213370163y_bool,type,
    hAPP_f1213370163y_bool: ( $i * $i ) > $i ).

tff(hAPP_f641257349l_bool,type,
    hAPP_f641257349l_bool: ( $i * $i ) > $i ).

tff(hAPP_f857351829l_bool,type,
    hAPP_f857351829l_bool: ( $i * $i ) > $i ).

tff('#skF_25',type,
    '#skF_25': ( $i * $i ) > $i ).

tff(widen_2090681816t_char,type,
    widen_2090681816t_char: ( $i * $i * $i ) > $i ).

tff('#skF_14',type,
    '#skF_14': $i > $i ).

tff('#skF_84',type,
    '#skF_84': ( $i * $i * $i ) > $i ).

tff('#skF_92',type,
    '#skF_92': ( $i * $i * $i ) > $i ).

tff(unit,type,
    unit: $i ).

tff(hBOOL,type,
    hBOOL: $i > $o ).

tff('#skF_87',type,
    '#skF_87': ( $i * $i * $i ) > $i ).

tff('#skF_80',type,
    '#skF_80': ( $i * $i * $i ) > $i ).

tff(produc1003071703on_val,type,
    produc1003071703on_val: $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff(hAPP_f1727192346on_val,type,
    hAPP_f1727192346on_val: ( $i * $i ) > $i ).

tff(fun_up1149430426on_val,type,
    fun_up1149430426on_val: ( $i * $i * $i ) > $i ).

tff('#skF_76',type,
    '#skF_76': ( $i * $i * $i ) > $i ).

tff(some_val,type,
    some_val: $i > $i ).

tff(hAPP_P1638898323l_bool,type,
    hAPP_P1638898323l_bool: ( $i * $i ) > $i ).

tff(hAPP_f1825030711l_bool,type,
    hAPP_f1825030711l_bool: ( $i * $i ) > $i ).

tff(hAPP_f639265145l_bool,type,
    hAPP_f639265145l_bool: ( $i * $i ) > $i ).

tff(hAPP_f439412817l_bool,type,
    hAPP_f439412817l_bool: ( $i * $i ) > $i ).

tff('#skF_48',type,
    '#skF_48': $i > $i ).

tff(hAPP_f2134824737l_bool,type,
    hAPP_f2134824737l_bool: ( $i * $i ) > $i ).

tff('#skF_105',type,
    '#skF_105': ( $i * $i ) > $i ).

tff(hAPP_b589554111l_bool,type,
    hAPP_b589554111l_bool: ( $i * $i ) > $i ).

tff(hAPP_P2024243179on_val,type,
    hAPP_P2024243179on_val: ( $i * $i ) > $i ).

tff('#skF_40',type,
    '#skF_40': ( $i * $i ) > $i ).

tff('#skF_83',type,
    '#skF_83': ( $i * $i * $i ) > $i ).

tff(e,type,
    e: $i ).

tff('#skF_106',type,
    '#skF_106': ( $i * $i ) > $i ).

tff('#skF_68',type,
    '#skF_68': ( $i * $i ) > $i ).

tff('#skF_82',type,
    '#skF_82': ( $i * $i * $i ) > $i ).

tff(cOMBB_1718333400on_val,type,
    cOMBB_1718333400on_val: $i ).

tff(hAPP_f1520199827on_val,type,
    hAPP_f1520199827on_val: ( $i * $i ) > $i ).

tff(cOMBB_364363975on_val,type,
    cOMBB_364363975on_val: $i ).

tff(produc1275132703l_bool,type,
    produc1275132703l_bool: $i ).

tff('#skF_12',type,
    '#skF_12': $i > $i ).

tff('#skF_91',type,
    '#skF_91': ( $i * $i * $i ) > $i ).

tff(p,type,
    p: $i ).

tff(hAPP_f1309113673on_val,type,
    hAPP_f1309113673on_val: ( $i * $i ) > $i ).

tff('#skF_49',type,
    '#skF_49': $i > $i ).

tff(cOMBB_1153617344on_val,type,
    cOMBB_1153617344on_val: $i ).

tff('#skF_29',type,
    '#skF_29': ( $i * $i ) > $i ).

tff('#skF_27',type,
    '#skF_27': ( $i * $i ) > $i ).

tff(produc1148763895on_val,type,
    produc1148763895on_val: $i ).

tff(cOMBB_383678192on_val,type,
    cOMBB_383678192on_val: $i ).

tff('#skF_85',type,
    '#skF_85': ( $i * $i * $i ) > $i ).

tff('#skF_46',type,
    '#skF_46': $i > $i ).

tff('#skF_86',type,
    '#skF_86': ( $i * $i * $i ) > $i ).

tff(hAPP_f1712766199l_bool,type,
    hAPP_f1712766199l_bool: ( $i * $i ) > $i ).

tff(hAPP_f1849790461on_val,type,
    hAPP_f1849790461on_val: ( $i * $i ) > $i ).

tff(produc399384568l_bool,type,
    produc399384568l_bool: $i ).

tff(cOMBC_2027949654l_bool,type,
    cOMBC_2027949654l_bool: $i ).

tff('#skF_50',type,
    '#skF_50': $i > $i ).

tff(hAPP_f1560238713l_bool,type,
    hAPP_f1560238713l_bool: ( $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

tff(seq_list_char,type,
    seq_list_char: ( $i * $i ) > $i ).

tff(hAPP_f917296015l_bool,type,
    hAPP_f917296015l_bool: ( $i * $i ) > $i ).

tff('#skF_45',type,
    '#skF_45': $i > $i ).

tff('#skF_55',type,
    '#skF_55': $i > $i ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i ) > $i ).

tff('#skF_96',type,
    '#skF_96': ( $i * $i * $i ) > $i ).

tff(cOMBB_1466662571on_val,type,
    cOMBB_1466662571on_val: $i ).

tff('#skF_6',type,
    '#skF_6': $i > $i ).

tff(hAPP_f1617787571l_bool,type,
    hAPP_f1617787571l_bool: ( $i * $i ) > $i ).

tff(cOMBS_570216337l_bool,type,
    cOMBS_570216337l_bool: ( $i * $i ) > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff('#skF_63',type,
    '#skF_63': $i > $i ).

tff(hAPP_P595502227l_bool,type,
    hAPP_P595502227l_bool: ( $i * $i ) > $i ).

tff(hAPP_P1870962205on_val,type,
    hAPP_P1870962205on_val: ( $i * $i ) > $i ).

tff(hAPP_f1175813647l_bool,type,
    hAPP_f1175813647l_bool: ( $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': $i > $i ).

tff(lAss_list_char,type,
    lAss_list_char: ( $i * $i ) > $i ).

tff(hAPP_f850751421l_bool,type,
    hAPP_f850751421l_bool: ( $i * $i ) > $i ).

tff(hAPP_f1452292669l_bool,type,
    hAPP_f1452292669l_bool: ( $i * $i ) > $i ).

tff(assigned,type,
    assigned: ( $i * $i ) > $i ).

tff('#skF_51',type,
    '#skF_51': $i > $i ).

tff('#skF_47',type,
    '#skF_47': $i > $i ).

tff('#skF_39',type,
    '#skF_39': ( $i * $i ) > $i ).

tff(hAPP_f1760682521l_bool,type,
    hAPP_f1760682521l_bool: ( $i * $i ) > $i ).

tff(hAPP_f603925568l_bool,type,
    hAPP_f603925568l_bool: ( $i * $i ) > $i ).

tff('#skF_109',type,
    '#skF_109': ( $i * $i ) > $i ).

tff(f_976,negated_conjecture,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f_61,axiom,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

tff(c_655,plain,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(cnfTransformation,[status(thm)],[f_976]) ).

tff(c_32,plain,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_670,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_655,c_32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW478+1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14  % 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
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 20:00:39 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 6.54/2.69  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.54/2.69  
% 6.54/2.69  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.54/2.73  
% 6.54/2.73  Inference rules
% 6.54/2.73  ----------------------
% 6.54/2.73  #Ref     : 0
% 6.54/2.73  #Sup     : 0
% 6.54/2.73  #Fact    : 0
% 6.54/2.73  #Define  : 0
% 6.54/2.73  #Split   : 0
% 6.54/2.73  #Chain   : 0
% 6.54/2.73  #Close   : 0
% 6.54/2.73  
% 6.54/2.73  Ordering : KBO
% 6.54/2.73  
% 6.54/2.73  Simplification rules
% 6.54/2.73  ----------------------
% 6.54/2.73  #Subsume      : 291
% 6.54/2.73  #Demod        : 14
% 6.54/2.73  #Tautology    : 31
% 6.54/2.73  #SimpNegUnit  : 1
% 6.54/2.73  #BackRed      : 0
% 6.54/2.73  
% 6.54/2.73  #Partial instantiations: 0
% 6.54/2.73  #Strategies tried      : 1
% 6.54/2.73  
% 6.54/2.73  Timing (in seconds)
% 6.54/2.73  ----------------------
% 6.54/2.73  Preprocessing        : 1.20
% 6.54/2.73  Parsing              : 0.61
% 6.54/2.73  CNF conversion       : 0.11
% 6.54/2.73  Main loop            : 0.39
% 6.54/2.73  Inferencing          : 0.00
% 6.54/2.73  Reduction            : 0.22
% 6.54/2.73  Demodulation         : 0.16
% 6.54/2.73  BG Simplification    : 0.07
% 6.54/2.73  Subsumption          : 0.11
% 6.54/2.73  Abstraction          : 0.04
% 6.54/2.73  MUC search           : 0.00
% 6.54/2.73  Cooper               : 0.00
% 6.54/2.73  Total                : 1.65
% 6.54/2.74  Index Insertion      : 0.00
% 6.54/2.74  Index Deletion       : 0.00
% 6.54/2.74  Index Matching       : 0.00
% 6.54/2.74  BG Taut test         : 0.00
%------------------------------------------------------------------------------