TSTP Solution File: MED009+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n018.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 : Thu Aug 31 09:05:56 EDT 2023

% Result   : Theorem 1.15s 1.25s
% Output   : CNFRefutation 1.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34  % Computer : n018.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri Aug 25 07:46:28 EDT 2023
% 0.15/0.34  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 1.15/1.25  %-------------------------------------------
% 1.15/1.25  % File        :CSE---1.6
% 1.15/1.25  % Problem     :theBenchmark
% 1.15/1.25  % Transform   :cnf
% 1.15/1.25  % Format      :tptp:raw
% 1.15/1.25  % Command     :java -jar mcs_scs.jar %d %s
% 1.15/1.25  
% 1.15/1.25  % Result      :Theorem 0.610000s
% 1.15/1.25  % Output      :CNFRefutation 0.610000s
% 1.15/1.25  %-------------------------------------------
% 1.15/1.25  %------------------------------------------------------------------------------
% 1.15/1.25  % File     : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% 1.15/1.25  % Domain   : Medicine
% 1.15/1.25  % Problem  : Unsuccessful s1-qige27 treatment - next step
% 1.15/1.25  % Version  : [HLB05] axioms : Especial.
% 1.15/1.25  % English  : After unsuccessful treatment with single oral anti-diabetic for
% 1.15/1.25  %            patients with QI greater equal than 27 medical management moves
% 1.15/1.25  %            to next step.
% 1.15/1.25  
% 1.15/1.25  % Refs     : [HLB05] Hommersom et al. (2005), Automated Theorem Proving for
% 1.15/1.25  %          : [Hom06] Hommersom (2006), Email to G. Sutcliffe
% 1.15/1.25  % Source   : [Hom06]
% 1.15/1.25  % Names    :
% 1.15/1.25  
% 1.15/1.25  % Status   : Theorem
% 1.15/1.25  % Rating   : 0.07 v8.1.0, 0.14 v7.5.0, 0.29 v7.4.0, 0.12 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.08 v6.2.0, 0.18 v6.1.0, 0.36 v6.0.0, 0.25 v5.5.0, 0.54 v5.4.0, 0.52 v5.3.0, 0.57 v5.2.0, 0.36 v5.0.0, 0.35 v4.1.0, 0.44 v4.0.1, 0.47 v4.0.0, 0.50 v3.7.0, 0.33 v3.5.0, 0.25 v3.4.0, 0.33 v3.3.0, 0.67 v3.2.0
% 1.15/1.25  % Syntax   : Number of formulae    :   41 (   1 unt;   0 def)
% 1.15/1.25  %            Number of atoms       :  201 (   0 equ)
% 1.15/1.25  %            Maximal formula atoms :   30 (   4 avg)
% 1.15/1.25  %            Number of connectives :  245 (  85   ~;  34   |;  51   &)
% 1.15/1.25  %                                         (   0 <=>;  75  =>;   0  <=;   0 <~>)
% 1.15/1.25  %            Maximal formula depth :   12 (   6 avg)
% 1.15/1.25  %            Maximal term depth    :    1 (   1 avg)
% 1.15/1.25  %            Number of predicates  :   20 (  20 usr;   0 prp; 1-2 aty)
% 1.15/1.25  %            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
% 1.15/1.25  %            Number of variables   :   96 (  92   !;   4   ?)
% 1.15/1.25  % SPC      : FOF_THM_RFO_NEQ
% 1.15/1.25  
% 1.15/1.25  % Comments :
% 1.15/1.25  %------------------------------------------------------------------------------
% 1.15/1.25  include('Axioms/MED001+0.ax').
% 1.15/1.25  include('Axioms/MED001+1.ax').
% 1.15/1.25  %------------------------------------------------------------------------------
% 1.15/1.25  fof(transs1s2_qige27,conjecture,
% 1.15/1.25      ( ( s1(n0)
% 1.15/1.25        & ! [X0] :
% 1.15/1.25            ( gt(n0,X0)
% 1.15/1.25           => conditionhyper(X0) )
% 1.15/1.25        & ~ bcapacitysn(n0)
% 1.15/1.25        & ~ qilt27(n0) )
% 1.15/1.25     => ? [X0] :
% 1.15/1.25          ( ~ gt(n0,X0)
% 1.15/1.25          & s2(X0)
% 1.15/1.25          & ! [X1] :
% 1.15/1.25              ( gt(X0,X1)
% 1.15/1.25             => conditionhyper(X1) )
% 1.15/1.25          & ( bcapacityne(X0)
% 1.15/1.25            | bcapacityex(X0) ) ) ) ).
% 1.15/1.25  
% 1.15/1.25  %------------------------------------------------------------------------------
% 1.15/1.25  %-------------------------------------------
% 1.15/1.25  % Proof found
% 1.15/1.25  % SZS status Theorem for theBenchmark
% 1.15/1.25  % SZS output start Proof
% 1.15/1.25  %ClaNum:167(EqnAxiom:0)
% 1.15/1.25  %VarNum:684(SingletonVarNum:221)
% 1.15/1.25  %MaxLitNum:8
% 1.15/1.25  %MaxfuncDepth:1
% 1.15/1.25  %SharedTerms:4
% 1.15/1.25  %goalClause: 1 2 3 36 67 68 72 73
% 1.15/1.25  %singleGoalClaCount:3
% 1.15/1.25  [1]P1(a1)
% 1.15/1.25  [2]~P2(a1)
% 1.15/1.25  [3]~P5(a1)
% 1.15/1.25  [4]~P6(x41,x41)
% 1.15/1.25  [5]~P18(x51)+P7(x51)
% 1.15/1.25  [6]~P19(x61)+P13(x61)
% 1.15/1.25  [7]~P19(x71)+P8(x71)
% 1.15/1.25  [8]~P7(x81)+P18(x81)
% 1.15/1.25  [11]~P4(x111)+~P3(x111)
% 1.15/1.25  [12]~P2(x121)+~P3(x121)
% 1.15/1.25  [13]~P2(x131)+~P4(x131)
% 1.15/1.25  [14]~P11(x141)+~P9(x141)
% 1.15/1.25  [15]~P12(x151)+~P9(x151)
% 1.15/1.25  [16]~P12(x161)+~P11(x161)
% 1.15/1.25  [17]~P1(x171)+~P16(x171)
% 1.15/1.25  [18]~P19(x181)+~P16(x181)
% 1.15/1.25  [19]~P18(x191)+~P16(x191)
% 1.15/1.25  [20]~P19(x201)+~P1(x201)
% 1.15/1.25  [21]~P18(x211)+~P1(x211)
% 1.15/1.25  [22]~P18(x221)+~P19(x221)
% 1.15/1.25  [36]P9(x361)+~P6(a1,x361)
% 1.15/1.25  [35]~P4(x351)+~P10(f2(x351))
% 1.15/1.25  [58]~P4(x581)+~P6(x581,f2(x581))
% 1.15/1.25  [9]P4(x91)+P2(x91)+P3(x91)
% 1.15/1.25  [10]P11(x101)+P12(x101)+P9(x101)
% 1.15/1.25  [23]P2(x231)+~P14(x231)+P3(x231)
% 1.15/1.25  [24]P5(x241)+~P1(x241)+P8(x241)
% 1.15/1.25  [26]~P5(x261)+~P1(x261)+P13(x261)
% 1.15/1.25  [37]P14(x371)+P4(x371)+~P12(f3(x371))
% 1.15/1.25  [62]P14(x621)+P4(x621)+~P6(x621,f3(x621))
% 1.15/1.25  [34]P17(x341)+P20(x341)+P6(x342,x341)
% 1.15/1.25  [38]~P20(x382)+~P17(x382)+P6(x381,x382)
% 1.15/1.25  [39]P8(x391)+P6(x392,x391)+P17(f11(x392))
% 1.15/1.25  [43]P7(x431)+P6(x432,x431)+~P20(f9(x432))
% 1.15/1.25  [44]P7(x441)+P6(x442,x441)+~P21(f10(x442))
% 1.15/1.26  [45]P20(x451)+P6(x452,x451)+~P7(f12(x452))
% 1.15/1.26  [46]P21(x461)+P6(x462,x461)+~P7(f12(x462))
% 1.15/1.26  [47]P13(x471)+P6(x472,x471)+~P10(f2(x472))
% 1.15/1.26  [56]~P17(x562)+P6(x561,x562)+~P8(f16(x561))
% 1.15/1.26  [76]P7(x761)+P6(x762,x761)+~P6(x762,f9(x762))
% 1.15/1.26  [77]P7(x771)+P6(x772,x771)+~P6(x772,f10(x772))
% 1.15/1.26  [78]P20(x781)+P6(x782,x781)+~P6(x782,f12(x782))
% 1.15/1.26  [79]P21(x791)+P6(x792,x791)+~P6(x792,f12(x792))
% 1.15/1.26  [80]P13(x801)+P6(x802,x801)+~P6(x802,f2(x802))
% 1.15/1.26  [81]P8(x811)+P6(x812,x811)+~P6(x812,f11(x812))
% 1.15/1.26  [87]~P17(x872)+P6(x871,x872)+~P6(x871,f16(x871))
% 1.15/1.26  [102]~P6(x1021,x1023)+P6(x1021,x1022)+~P6(x1023,x1022)
% 1.15/1.26  [25]P1(x251)+P19(x251)+P18(x251)+P16(x251)
% 1.15/1.26  [29]P19(x291)+P18(x291)+~P13(x291)+P1(x291)
% 1.15/1.26  [30]P19(x301)+P18(x301)+~P8(x301)+P1(x301)
% 1.15/1.26  [31]P18(x311)+P15(x311)+~P13(x311)+P19(x311)
% 1.15/1.26  [33]P18(x331)+~P8(x331)+~P5(x331)+P19(x331)
% 1.15/1.26  [67]~P3(x671)+~P19(x671)+P6(a1,x671)+~P9(f18(x671))
% 1.15/1.26  [68]~P4(x681)+~P19(x681)+P6(a1,x681)+~P9(f18(x681))
% 1.15/1.26  [72]~P3(x721)+~P19(x721)+P6(x721,f18(x721))+P6(a1,x721)
% 1.15/1.26  [73]~P4(x731)+~P19(x731)+P6(x731,f18(x731))+P6(a1,x731)
% 1.15/1.26  [40]P6(x401,x402)+~P14(x401)+P2(x401)+P10(x402)
% 1.15/1.26  [57]~P14(x571)+~P6(x571,x572)+P2(x571)+P9(x572)
% 1.15/1.26  [48]~P19(x482)+P12(x481)+P6(x482,x481)+P4(f13(x482))
% 1.15/1.26  [49]~P16(x492)+P12(x491)+P6(x492,x491)+P1(f14(x492))
% 1.15/1.26  [50]~P1(x502)+P12(x501)+P6(x502,x501)+P19(f15(x502))
% 1.15/1.26  [51]~P19(x512)+P12(x511)+P6(x512,x511)+P18(f13(x512))
% 1.15/1.26  [59]P6(x591,x592)+P4(x591)+P10(x592)+~P13(f17(x591))
% 1.15/1.26  [60]P6(x602,x601)+P20(x601)+P14(x602)+~P12(f3(x602))
% 1.15/1.26  [61]P6(x612,x611)+P21(x611)+P14(x612)+~P12(f3(x612))
% 1.15/1.26  [74]~P6(x742,x741)+P9(x741)+P14(x742)+~P12(f3(x742))
% 1.15/1.26  [88]P6(x881,x882)+P4(x881)+P10(x882)+~P6(x881,f17(x881))
% 1.15/1.26  [89]P6(x892,x891)+P20(x891)+P14(x892)+~P6(x892,f3(x892))
% 1.15/1.26  [90]P6(x902,x901)+P21(x901)+P14(x902)+~P6(x902,f3(x902))
% 1.15/1.26  [98]~P16(x982)+P12(x981)+P6(x982,x981)+~P6(x982,f14(x982))
% 1.15/1.26  [99]~P1(x992)+P12(x991)+P6(x992,x991)+~P6(x992,f15(x992))
% 1.15/1.26  [100]~P19(x1002)+P12(x1001)+P6(x1002,x1001)+~P6(x1002,f13(x1002))
% 1.15/1.26  [112]~P6(x1122,x1121)+P9(x1121)+P14(x1122)+~P6(x1122,f3(x1122))
% 1.15/1.26  [53]P6(x531,x532)+~P5(x531)+~P14(x531)+P3(x531)+P10(x532)
% 1.15/1.26  [54]P5(x541)+~P17(x542)+~P14(x541)+P3(x541)+P6(x541,x542)
% 1.15/1.26  [65]P5(x651)+~P14(x651)+~P6(x651,x652)+P3(x651)+P9(x652)
% 1.15/1.26  [69]~P5(x691)+~P14(x691)+~P6(x691,x692)+P3(x691)+P9(x692)
% 1.15/1.26  [71]~P1(x712)+P12(x711)+P6(x712,x711)+P3(f15(x712))+P4(f15(x712))
% 1.15/1.26  [109]~P16(x1093)+P9(x1091)+P6(x1093,x1092)+P12(x1092)+~P6(f14(x1093),x1091)
% 1.15/1.26  [110]~P1(x1103)+P9(x1101)+P6(x1103,x1102)+P12(x1102)+~P6(f15(x1103),x1101)
% 1.15/1.26  [111]~P19(x1113)+P9(x1111)+P6(x1113,x1112)+P12(x1112)+~P6(f13(x1113),x1111)
% 1.15/1.26  [97]P6(x972,x971)+~P2(x972)+P12(x971)+P5(x972)+P17(f19(x972))+~P9(f22(x972))
% 1.15/1.26  [108]P6(x1082,x1081)+~P2(x1082)+P12(x1081)+P5(x1082)+P6(x1082,f22(x1082))+P17(f19(x1082))
% 1.15/1.26  [118]~P2(x1182)+~P5(x1182)+P12(x1181)+P6(x1182,x1181)+~P9(f20(x1182))+~P10(f21(x1182))
% 1.15/1.26  [120]~P3(x1202)+P12(x1201)+P6(x1202,x1201)+P17(f23(x1202))+~P9(f4(x1202))+~P10(f5(x1202))
% 1.15/1.26  [121]~P2(x1212)+~P5(x1212)+P12(x1211)+P6(x1212,x1211)+P6(x1212,f20(x1212))+~P10(f21(x1212))
% 1.15/1.26  [127]~P3(x1272)+P12(x1271)+P6(x1272,x1271)+P6(x1272,f4(x1272))+P17(f23(x1272))+~P10(f5(x1272))
% 1.15/1.26  [130]~P3(x1302)+P12(x1301)+P6(x1302,x1301)+~P9(f4(x1302))+~P21(f24(x1302))+~P10(f5(x1302))
% 1.15/1.26  [134]P6(x1342,x1341)+~P2(x1342)+P12(x1341)+P5(x1342)+~P6(x1342,f19(x1342))+~P9(f22(x1342))
% 1.15/1.26  [135]~P3(x1352)+P12(x1351)+P6(x1352,x1351)+P6(x1352,f4(x1352))+~P21(f24(x1352))+~P10(f5(x1352))
% 1.15/1.26  [140]~P2(x1402)+~P5(x1402)+P12(x1401)+P6(x1402,x1401)+~P6(x1402,f21(x1402))+~P9(f20(x1402))
% 1.15/1.26  [142]P6(x1422,x1421)+~P2(x1422)+P12(x1421)+P5(x1422)+P6(x1422,f22(x1422))+~P6(x1422,f19(x1422))
% 1.15/1.26  [144]~P3(x1442)+P12(x1441)+P6(x1442,x1441)+~P6(x1442,f5(x1442))+P17(f23(x1442))+~P9(f4(x1442))
% 1.15/1.26  [145]~P2(x1452)+~P5(x1452)+P12(x1451)+P6(x1452,x1451)+P6(x1452,f20(x1452))+~P6(x1452,f21(x1452))
% 1.15/1.26  [148]~P3(x1482)+P12(x1481)+P6(x1482,x1481)+P6(x1482,f4(x1482))+~P6(x1482,f5(x1482))+P17(f23(x1482))
% 1.15/1.26  [149]~P3(x1492)+P12(x1491)+P6(x1492,x1491)+~P6(x1492,f5(x1492))+~P9(f4(x1492))+~P21(f24(x1492))
% 1.15/1.26  [150]~P3(x1502)+P12(x1501)+P6(x1502,x1501)+~P6(x1502,f23(x1502))+~P9(f4(x1502))+~P10(f5(x1502))
% 1.15/1.26  [151]~P3(x1512)+P12(x1511)+P6(x1512,x1511)+~P6(x1512,f24(x1512))+~P9(f4(x1512))+~P10(f5(x1512))
% 1.15/1.26  [153]~P3(x1532)+P12(x1531)+P6(x1532,x1531)+P6(x1532,f4(x1532))+~P6(x1532,f5(x1532))+~P21(f24(x1532))
% 1.15/1.26  [154]~P3(x1542)+P12(x1541)+P6(x1542,x1541)+P6(x1542,f4(x1542))+~P6(x1542,f23(x1542))+~P10(f5(x1542))
% 1.15/1.26  [155]~P3(x1552)+P12(x1551)+P6(x1552,x1551)+P6(x1552,f4(x1552))+~P6(x1552,f24(x1552))+~P10(f5(x1552))
% 1.15/1.26  [162]~P3(x1622)+P12(x1621)+P6(x1622,x1621)+~P6(x1622,f23(x1622))+~P6(x1622,f5(x1622))+~P9(f4(x1622))
% 1.15/1.26  [163]~P3(x1632)+P12(x1631)+P6(x1632,x1631)+~P6(x1632,f24(x1632))+~P6(x1632,f5(x1632))+~P9(f4(x1632))
% 1.15/1.26  [164]~P3(x1642)+P12(x1641)+P6(x1642,x1641)+P6(x1642,f4(x1642))+~P6(x1642,f23(x1642))+~P6(x1642,f5(x1642))
% 1.15/1.26  [165]~P3(x1652)+P12(x1651)+P6(x1652,x1651)+P6(x1652,f4(x1652))+~P6(x1652,f24(x1652))+~P6(x1652,f5(x1652))
% 1.15/1.26  [82]P6(x821,x822)+~P17(x823)+~P14(x821)+P3(x821)+P6(x821,x823)+P10(x822)
% 1.15/1.26  [83]P6(x831,x832)+~P17(x833)+~P14(x831)+P2(x831)+P6(x831,x833)+P21(x832)
% 1.15/1.26  [85]P6(x853,x852)+~P5(x853)+~P14(x853)+P10(x851)+P6(x853,x851)+P10(x852)
% 1.15/1.26  [86]P6(x862,x861)+~P17(x863)+~P14(x862)+P10(x861)+P6(x862,x863)+P5(x862)
% 1.15/1.26  [113]~P14(x1131)+~P6(x1131,x1132)+~P6(x1131,x1133)+P3(x1131)+P9(x1132)+P9(x1133)
% 1.15/1.26  [116]~P14(x1163)+~P6(x1163,x1161)+~P6(x1163,x1162)+P9(x1161)+P9(x1162)+P5(x1163)
% 1.15/1.26  [119]~P14(x1193)+~P6(x1193,x1191)+~P6(x1193,x1192)+P9(x1191)+P9(x1192)+~P5(x1193)
% 1.15/1.26  [138]P12(x1381)+~P4(x1382)+P11(x1381)+P6(x1382,x1381)+~P9(f6(x1382))+~P20(f7(x1382))+~P21(f8(x1382))
% 1.15/1.26  [143]P12(x1431)+~P4(x1432)+P11(x1431)+P6(x1432,x1431)+P6(x1432,f6(x1432))+~P20(f7(x1432))+~P21(f8(x1432))
% 1.15/1.26  [156]P12(x1561)+~P4(x1562)+P11(x1561)+P6(x1562,x1561)+~P6(x1562,f8(x1562))+~P9(f6(x1562))+~P20(f7(x1562))
% 1.15/1.26  [157]P12(x1571)+~P4(x1572)+P11(x1571)+P6(x1572,x1571)+~P6(x1572,f7(x1572))+~P9(f6(x1572))+~P21(f8(x1572))
% 1.15/1.26  [159]P12(x1591)+~P4(x1592)+P11(x1591)+P6(x1592,x1591)+P6(x1592,f6(x1592))+~P6(x1592,f8(x1592))+~P20(f7(x1592))
% 1.15/1.26  [160]P12(x1601)+~P4(x1602)+P11(x1601)+P6(x1602,x1601)+P6(x1602,f6(x1602))+~P6(x1602,f7(x1602))+~P21(f8(x1602))
% 1.15/1.26  [166]P12(x1661)+~P4(x1662)+P11(x1661)+P6(x1662,x1661)+~P6(x1662,f7(x1662))+~P6(x1662,f8(x1662))+~P9(f6(x1662))
% 1.15/1.26  [167]P12(x1671)+~P4(x1672)+P11(x1671)+P6(x1672,x1671)+P6(x1672,f6(x1672))+~P6(x1672,f7(x1672))+~P6(x1672,f8(x1672))
% 1.15/1.26  [117]P6(x1173,x1172)+~P17(x1174)+~P14(x1173)+P10(x1171)+P6(x1173,x1171)+P10(x1172)+P6(x1173,x1174)
% 1.15/1.26  [147]~P6(x1474,x1471)+~P6(x1474,x1472)+~P6(x1474,x1473)+P9(x1471)+P9(x1472)+P9(x1473)+~P14(x1474)
% 1.15/1.26  [126]P6(x1262,x1261)+~P17(x1263)+~P17(x1264)+~P14(x1262)+P21(x1261)+P6(x1262,x1263)+P5(x1262)+P6(x1262,x1264)
% 1.15/1.26  %EqnAxiom
% 1.15/1.26  
% 1.15/1.26  %-------------------------------------------
% 1.15/1.26  cnf(176,plain,
% 1.15/1.26     (~P6(a1,f10(a1))),
% 1.15/1.26     inference(scs_inference,[],[1,4,3,21,20,8,24,17,77])).
% 1.15/1.26  cnf(178,plain,
% 1.15/1.26     (~P6(a1,f9(a1))),
% 1.15/1.26     inference(scs_inference,[],[1,4,3,21,20,8,24,17,77,76])).
% 1.15/1.26  cnf(180,plain,
% 1.15/1.26     (~P21(f10(a1))),
% 1.15/1.26     inference(scs_inference,[],[1,4,3,21,20,8,24,17,77,76,44])).
% 1.15/1.26  cnf(182,plain,
% 1.15/1.26     (~P20(f9(a1))),
% 1.15/1.26     inference(scs_inference,[],[1,4,3,21,20,8,24,17,77,76,44,43])).
% 1.15/1.26  cnf(187,plain,
% 1.15/1.26     (~P6(x1871,x1871)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(189,plain,
% 1.15/1.26     (~P17(x1891)+~P20(x1891)),
% 1.15/1.26     inference(scs_inference,[],[1,4,187,2,3,21,20,8,24,17,77,76,44,43,40,102,38])).
% 1.15/1.26  cnf(192,plain,
% 1.15/1.26     (~P6(x1921,x1921)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(197,plain,
% 1.15/1.26     (~P6(x1971,x1971)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(199,plain,
% 1.15/1.26     (~P17(f9(a1))+P8(x1991)+~P6(x1991,f11(x1991))),
% 1.15/1.26     inference(scs_inference,[],[1,4,187,192,197,2,3,21,20,8,24,17,77,76,44,43,40,102,38,34,23,87,81])).
% 1.15/1.26  cnf(226,plain,
% 1.15/1.26     (P17(f9(a1))),
% 1.15/1.26     inference(scs_inference,[],[4,182,34])).
% 1.15/1.26  cnf(227,plain,
% 1.15/1.26     (~P6(x2271,x2271)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(231,plain,
% 1.15/1.26     (~P6(f9(a1),f16(f9(a1)))),
% 1.15/1.26     inference(scs_inference,[],[2,4,227,182,34,9,87])).
% 1.15/1.26  cnf(232,plain,
% 1.15/1.26     (~P6(x2321,x2321)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(234,plain,
% 1.15/1.26     (~P6(f10(a1),f12(f10(a1)))),
% 1.15/1.26     inference(scs_inference,[],[2,4,227,232,180,182,34,9,87,79])).
% 1.15/1.26  cnf(235,plain,
% 1.15/1.26     (~P6(x2351,x2351)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(237,plain,
% 1.15/1.26     (~P6(f9(a1),f12(f9(a1)))),
% 1.15/1.26     inference(scs_inference,[],[2,4,227,232,235,180,182,34,9,87,79,78])).
% 1.15/1.26  cnf(238,plain,
% 1.15/1.26     (~P6(x2381,x2381)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(240,plain,
% 1.15/1.26     (~P8(f16(f9(a1)))),
% 1.15/1.26     inference(scs_inference,[],[2,4,227,232,235,238,180,182,34,9,87,79,78,56])).
% 1.15/1.26  cnf(241,plain,
% 1.15/1.26     (~P6(x2411,x2411)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(243,plain,
% 1.15/1.26     (~P7(f12(f10(a1)))),
% 1.15/1.26     inference(scs_inference,[],[2,4,227,232,235,238,241,180,182,34,9,87,79,78,56,46])).
% 1.15/1.26  cnf(244,plain,
% 1.15/1.26     (~P6(x2441,x2441)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(246,plain,
% 1.15/1.26     (~P7(f12(f9(a1)))),
% 1.15/1.26     inference(scs_inference,[],[2,4,227,232,235,238,241,244,180,182,34,9,87,79,78,56,46,45])).
% 1.15/1.26  cnf(248,plain,
% 1.15/1.26     (P17(f11(f9(a1)))),
% 1.15/1.26     inference(scs_inference,[],[2,4,227,232,235,238,241,244,180,182,34,9,87,79,78,56,46,45,39])).
% 1.15/1.26  cnf(269,plain,
% 1.15/1.26     (~P6(x2691,f11(x2691))+P8(x2691)),
% 1.15/1.26     inference(scs_inference,[],[226,199])).
% 1.15/1.26  cnf(279,plain,
% 1.15/1.26     (~P6(f10(a1),f9(f10(a1)))),
% 1.15/1.26     inference(scs_inference,[],[234,240,243,248,7,189,76])).
% 1.15/1.26  cnf(285,plain,
% 1.15/1.26     (~P20(f9(f10(a1)))),
% 1.15/1.26     inference(scs_inference,[],[234,240,243,248,7,189,76,44,77,43])).
% 1.15/1.26  cnf(290,plain,
% 1.15/1.26     (~P18(f12(f10(a1)))),
% 1.15/1.26     inference(scs_inference,[],[4,234,240,243,248,182,7,189,76,44,77,43,89,5])).
% 1.15/1.26  cnf(325,plain,
% 1.15/1.26     (~P6(x3251,x3251)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(327,plain,
% 1.15/1.26     (~P19(x3271)+P12(x3271)+P18(f13(x3271))),
% 1.15/1.26     inference(scs_inference,[],[4,325,248,117,51])).
% 1.15/1.26  cnf(371,plain,
% 1.15/1.26     (~P7(f12(a1))),
% 1.15/1.26     inference(scs_inference,[],[178,182,176,180,79,78,46])).
% 1.15/1.26  cnf(373,plain,
% 1.15/1.26     (~P6(a1,f16(a1))),
% 1.15/1.26     inference(scs_inference,[],[178,226,182,176,180,79,78,46,87])).
% 1.15/1.26  cnf(375,plain,
% 1.15/1.26     (~P8(f16(a1))),
% 1.15/1.26     inference(scs_inference,[],[178,226,182,176,180,79,78,46,87,56])).
% 1.15/1.26  cnf(377,plain,
% 1.15/1.26     (P17(f11(a1))),
% 1.15/1.26     inference(scs_inference,[],[178,226,182,176,180,79,78,46,87,56,39])).
% 1.15/1.26  cnf(379,plain,
% 1.15/1.26     (~P6(f16(a1),f11(f16(a1)))),
% 1.15/1.26     inference(scs_inference,[],[178,226,182,176,180,79,78,46,87,56,39,269])).
% 1.15/1.26  cnf(394,plain,
% 1.15/1.26     (P17(f9(f10(a1)))),
% 1.15/1.26     inference(scs_inference,[],[285,279,34])).
% 1.15/1.26  cnf(396,plain,
% 1.15/1.26     (P20(f11(f16(a1)))+~P7(f12(f16(a1)))),
% 1.15/1.26     inference(scs_inference,[],[379,285,279,34,45])).
% 1.15/1.26  cnf(398,plain,
% 1.15/1.26     (~P21(f10(f12(a1)))),
% 1.15/1.26     inference(scs_inference,[],[4,379,285,371,279,34,45,44])).
% 1.15/1.26  cnf(399,plain,
% 1.15/1.26     (~P6(x3991,x3991)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(401,plain,
% 1.15/1.26     (~P6(f12(a1),f10(f12(a1)))),
% 1.15/1.26     inference(scs_inference,[],[4,399,379,285,371,279,34,45,44,77])).
% 1.15/1.26  cnf(402,plain,
% 1.15/1.26     (~P6(x4021,x4021)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(404,plain,
% 1.15/1.26     (~P6(f12(a1),f9(f12(a1)))),
% 1.15/1.26     inference(scs_inference,[],[4,399,402,379,285,371,279,34,45,44,77,76])).
% 1.15/1.26  cnf(405,plain,
% 1.15/1.26     (~P6(x4051,x4051)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(407,plain,
% 1.15/1.26     (~P20(f9(f12(a1)))),
% 1.15/1.26     inference(scs_inference,[],[4,399,402,405,379,285,371,279,34,45,44,77,76,43])).
% 1.15/1.26  cnf(408,plain,
% 1.15/1.26     (~P6(x4081,x4081)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(411,plain,
% 1.15/1.26     (~P6(x4111,x4111)),
% 1.15/1.26     inference(rename_variables,[],[4])).
% 1.15/1.26  cnf(413,plain,
% 1.15/1.26     (P17(f11(f16(a1)))),
% 1.15/1.26     inference(scs_inference,[],[4,399,402,405,408,411,379,285,371,375,377,279,34,45,44,77,76,43,87,39])).
% 1.15/1.26  cnf(417,plain,
% 1.15/1.26     (~P8(f16(f10(a1)))),
% 1.15/1.26     inference(scs_inference,[],[4,399,402,405,408,411,379,285,371,375,377,279,34,45,44,77,76,43,87,39,79,56])).
% 1.15/1.26  cnf(424,plain,
% 1.15/1.26     (~P20(f11(a1))),
% 1.15/1.26     inference(scs_inference,[],[4,399,402,405,408,411,379,285,371,375,377,279,290,34,45,44,77,76,43,87,39,79,56,33,82,189])).
% 1.15/1.26  cnf(436,plain,
% 1.15/1.26     (~P6(f9(a1),f11(f9(a1)))),
% 1.15/1.26     inference(scs_inference,[],[231,240,81])).
% 1.15/1.26  cnf(438,plain,
% 1.15/1.26     (~P7(f12(f12(a1)))),
% 1.15/1.26     inference(scs_inference,[],[407,404,231,240,81,45])).
% 1.15/1.26  cnf(440,plain,
% 1.15/1.26     (P17(f9(f12(a1)))),
% 1.15/1.26     inference(scs_inference,[],[407,404,231,240,81,45,34])).
% 1.15/1.26  cnf(451,plain,
% 1.15/1.26     (~P21(f10(f9(a1)))),
% 1.15/1.26     inference(scs_inference,[],[398,407,401,404,424,237,231,240,246,4,81,45,34,78,90,77,76,44])).
% 1.15/1.26  cnf(463,plain,
% 1.15/1.26     (~P6(a1,f11(a1))),
% 1.15/1.26     inference(scs_inference,[],[451,373,3,375,226,178,126,81])).
% 1.15/1.26  cnf(491,plain,
% 1.15/1.26     (P14(a1)+~P12(f3(a1))),
% 1.15/1.26     inference(scs_inference,[],[436,463,285,424,279,102,85,89,60])).
% 1.15/1.26  cnf(507,plain,
% 1.15/1.26     (~P20(f11(f16(a1)))),
% 1.15/1.26     inference(scs_inference,[],[413,189])).
% 1.15/1.27  cnf(519,plain,
% 1.15/1.27     (~P6(f16(a1),f12(f16(a1)))),
% 1.15/1.27     inference(scs_inference,[],[176,417,438,379,413,189,56,87,80,5,7,78])).
% 1.15/1.27  cnf(529,plain,
% 1.15/1.27     (~P7(f12(f16(a1)))),
% 1.15/1.27     inference(scs_inference,[],[507,396])).
% 1.15/1.27  cnf(532,plain,
% 1.15/1.27     (~P8(f16(f12(a1)))),
% 1.15/1.27     inference(scs_inference,[],[440,404,398,401,61,56])).
% 1.15/1.27  cnf(534,plain,
% 1.15/1.27     (~P6(f12(a1),f16(f12(a1)))),
% 1.15/1.27     inference(scs_inference,[],[440,404,398,401,61,56,87])).
% 1.15/1.27  cnf(552,plain,
% 1.15/1.27     (~P20(f9(f16(a1)))),
% 1.15/1.27     inference(scs_inference,[],[529,532,534,519,81,77,44,43])).
% 1.15/1.27  cnf(554,plain,
% 1.15/1.27     (~P6(f16(a1),f9(f16(a1)))),
% 1.15/1.27     inference(scs_inference,[],[529,532,534,519,81,77,44,43,76])).
% 1.15/1.27  cnf(592,plain,
% 1.15/1.27     (~P14(a1)),
% 1.15/1.27     inference(scs_inference,[],[180,176,554,552,377,463,2,60,83])).
% 1.15/1.27  cnf(594,plain,
% 1.15/1.27     (~P6(a1,f3(a1))),
% 1.15/1.27     inference(scs_inference,[],[180,176,554,552,377,463,2,60,83,90])).
% 1.15/1.27  cnf(612,plain,
% 1.15/1.27     (~P12(f3(a1))),
% 1.15/1.27     inference(scs_inference,[],[592,491])).
% 1.15/1.27  cnf(640,plain,
% 1.15/1.27     (~P6(a1,f15(a1))),
% 1.15/1.27     inference(scs_inference,[],[612,594,1,99])).
% 1.15/1.27  cnf(642,plain,
% 1.15/1.27     (P19(f15(a1))),
% 1.15/1.27     inference(scs_inference,[],[612,594,1,99,50])).
% 1.15/1.27  cnf(646,plain,
% 1.15/1.27     (~P6(f10(a1),f16(f10(a1)))),
% 1.15/1.27     inference(scs_inference,[],[612,594,394,279,1,99,50,7,87])).
% 1.15/1.27  cnf(687,plain,
% 1.15/1.27     (P6(f15(a1),f18(f15(a1)))+P3(f15(a1))),
% 1.15/1.27     inference(scs_inference,[],[640,642,594,612,1,73,71])).
% 1.15/1.27  cnf(699,plain,
% 1.15/1.27     (P17(f11(f10(a1)))),
% 1.15/1.27     inference(scs_inference,[],[178,646,417,80,39])).
% 1.15/1.27  cnf(723,plain,
% 1.15/1.27     (P6(f15(a1),f18(f15(a1)))),
% 1.15/1.27     inference(scs_inference,[],[699,640,642,371,5,189,72,687])).
% 1.15/1.27  cnf(758,plain,
% 1.15/1.27     (P9(f18(f15(a1)))),
% 1.15/1.27     inference(scs_inference,[],[723,594,1,612,110])).
% 1.15/1.27  cnf(762,plain,
% 1.15/1.27     (~P3(f15(a1))),
% 1.15/1.27     inference(scs_inference,[],[723,640,642,594,1,612,110,327,67])).
% 1.15/1.27  cnf(764,plain,
% 1.15/1.27     (~P4(f15(a1))),
% 1.15/1.27     inference(scs_inference,[],[723,640,642,594,1,612,110,327,67,68])).
% 1.15/1.27  cnf(802,plain,
% 1.15/1.27     ($false),
% 1.15/1.27     inference(scs_inference,[],[758,762,764,594,1,612,15,71]),
% 1.15/1.27     ['proof']).
% 1.15/1.27  % SZS output end Proof
% 1.15/1.27  % Total time :0.610000s
%------------------------------------------------------------------------------