TSTP Solution File: HWV027-2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HWV027-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n003.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 01:58:37 EDT 2023
% Result : Unsatisfiable 0.56s 0.69s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV027-2 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 14:38:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.56/0.68 %-------------------------------------------
% 0.56/0.68 % File :CSE---1.6
% 0.56/0.68 % Problem :theBenchmark
% 0.56/0.68 % Transform :cnf
% 0.56/0.68 % Format :tptp:raw
% 0.56/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.68
% 0.56/0.68 % Result :Theorem 0.010000s
% 0.56/0.68 % Output :CNFRefutation 0.010000s
% 0.56/0.68 %-------------------------------------------
% 0.56/0.68 %--------------------------------------------------------------------------
% 0.56/0.68 % File : HWV027-2 : TPTP v8.1.2. Released v2.5.0.
% 0.56/0.68 % Domain : Hardware Verification
% 0.56/0.68 % Problem : Safelogic VHDL design verification obligation
% 0.56/0.68 % Version : [Mar02] axioms : Especial.
% 0.56/0.68 % English :
% 0.56/0.68
% 0.56/0.68 % Refs : [CHM02] Claessen et al. (2002), Verification of Hardware Systems
% 0.56/0.68 % : [Mar02] Martensson (2002), Email to G. Sutcliffe
% 0.56/0.68 % Source : [Mar02]
% 0.56/0.68 % Names :
% 0.56/0.68
% 0.56/0.68 % Status : Unsatisfiable
% 0.56/0.68 % Rating : 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.29 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 0.27 v4.0.0, 0.18 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.18 v2.7.0, 0.25 v2.5.0
% 0.56/0.68 % Syntax : Number of clauses : 137 ( 29 unt; 62 nHn; 96 RR)
% 0.56/0.68 % Number of literals : 419 ( 81 equ; 190 neg)
% 0.56/0.68 % Maximal clause size : 10 ( 3 avg)
% 0.56/0.68 % Maximal term depth : 5 ( 2 avg)
% 0.56/0.68 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 0.56/0.68 % Number of functors : 46 ( 46 usr; 8 con; 0-3 aty)
% 0.56/0.68 % Number of variables : 225 ( 20 sgn)
% 0.56/0.68 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.56/0.68
% 0.56/0.68 % Comments :
% 0.56/0.68 %--------------------------------------------------------------------------
% 0.56/0.68 %----Include equality
% 0.56/0.68 %----Include VHDL design axioms
% 0.56/0.68 include('Axioms/HWV004-0.ax').
% 0.56/0.68 %--------------------------------------------------------------------------
% 0.56/0.68 cnf(quest_1,negated_conjecture,
% 0.56/0.68 ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ).
% 0.56/0.68
% 0.56/0.68 cnf(quest_2,negated_conjecture,
% 0.56/0.68 ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ).
% 0.56/0.68
% 0.56/0.68 cnf(quest_3,negated_conjecture,
% 0.56/0.68 ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ).
% 0.56/0.68
% 0.56/0.69 cnf(quest_4,negated_conjecture,
% 0.56/0.69 fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) ).
% 0.56/0.69
% 0.56/0.69 %--------------------------------------------------------------------------
% 0.56/0.69 %-------------------------------------------
% 0.56/0.69 % Proof found
% 0.56/0.69 % SZS status Theorem for theBenchmark
% 0.56/0.69 % SZS output start Proof
% 0.56/0.69 %ClaNum:201(EqnAxiom:65)
% 0.56/0.69 %VarNum:636(SingletonVarNum:224)
% 0.56/0.69 %MaxLitNum:10
% 0.56/0.69 %MaxfuncDepth:4
% 0.56/0.69 %SharedTerms:29
% 0.56/0.69 %goalClause: 88 89 90 92
% 0.56/0.69 %singleGoalClaCount:4
% 0.56/0.69 [67]P1(a15)
% 0.56/0.69 [86]~E(a9,a15)
% 0.56/0.69 [87]~P1(a9)
% 0.56/0.69 [66]E(f7(a1),a14)
% 0.56/0.69 [88]~P1(f35(a44))
% 0.56/0.69 [89]~P1(f36(a44))
% 0.56/0.69 [90]~P1(f39(a44))
% 0.56/0.69 [92]~E(f33(f2(a44,a43)),f33(a44))
% 0.56/0.69 [70]P2(x701,x701)
% 0.56/0.69 [69]E(f2(a14,x691),x691)
% 0.56/0.69 [91]~E(f2(x911,a43),a14)
% 0.56/0.69 [93]~P2(f2(x931,a43),a14)
% 0.56/0.69 [72]E(f7(f24(x721)),f2(f3(a25,a43),a43))
% 0.56/0.69 [73]E(f7(f26(x731)),f2(f3(a32,a43),a43))
% 0.56/0.69 [74]E(f7(f27(x741)),f2(f3(a32,a43),a43))
% 0.56/0.69 [71]E(f8(f16(x711),x712),x711)
% 0.56/0.69 [75]E(f7(f4(x751,x752)),f2(f7(x752),a43))
% 0.56/0.69 [76]E(f17(f8(x761,x762)),f8(f17(x761),x762))
% 0.56/0.69 [77]E(f2(f7(x771),f7(x772)),f7(f5(x771,x772)))
% 0.56/0.69 [78]E(f6(f8(x781,x782),f8(x783,x782)),f8(f6(x781,x783),x782))
% 0.56/0.69 [79]E(f22(f8(x791,x792),f8(x793,x792)),f8(f22(x791,x793),x792))
% 0.56/0.69 [80]E(f28(f8(x801,x802),f8(x803,x802)),f8(f28(x801,x803),x802))
% 0.56/0.69 [81]E(f18(f8(x811,x812),f8(x813,x812)),f8(f18(x811,x813),x812))
% 0.56/0.69 [82]E(f21(f8(x821,x822),f8(x823,x822)),f8(f21(x821,x823),x822))
% 0.56/0.69 [83]E(f29(f8(x831,x832),f8(x833,x832)),f8(f29(x831,x833),x832))
% 0.56/0.69 [84]E(f7(f23(x841,x842,x843)),f3(x843,f2(x842,a43)))
% 0.56/0.69 [85]E(f8(f23(x851,x852,x853),x854),f8(x851,f2(x854,x852)))
% 0.56/0.69 [100]~P2(x1001,a14)+E(x1001,a14)
% 0.56/0.69 [94]P1(x941)+P1(f17(x941))
% 0.56/0.69 [95]~E(f33(x951),a25)+P1(f34(x951))
% 0.56/0.69 [96]~E(f33(x961),a14)+P1(f31(x961))
% 0.56/0.69 [98]~P1(f34(x981))+E(f33(x981),a25)
% 0.56/0.69 [99]~P1(f31(x991))+E(f33(x991),a14)
% 0.56/0.69 [101]~P1(x1011)+~P1(f17(x1011))
% 0.56/0.69 [153]P2(x1531,a14)+~P2(x1531,f3(x1531,a43))
% 0.56/0.69 [97]E(x971,a14)+E(f2(f45(x971),a43),x971)
% 0.56/0.69 [116]~P1(f35(x1161))+E(f33(f2(x1161,a43)),a14)
% 0.56/0.69 [117]~P1(f35(x1171))+E(f37(f2(x1171,a43)),a14)
% 0.56/0.69 [118]~P1(f35(x1181))+E(f40(f2(x1181,a43)),a14)
% 0.56/0.69 [168]~P1(f35(x1681))+~P1(f41(f2(x1681,a43)))
% 0.56/0.69 [169]~P1(f35(x1691))+~P1(f38(f2(x1691,a43)))
% 0.56/0.69 [102]~P3(x1022,x1021)+~E(x1021,x1022)
% 0.56/0.69 [106]~P3(x1062,x1061)+P2(x1061,x1062)
% 0.56/0.69 [103]~E(x1031,x1032)+P1(f10(x1031,x1032))
% 0.56/0.69 [104]P1(x1041)+P1(f18(x1042,x1041))
% 0.56/0.69 [105]P1(x1051)+P1(f18(x1051,x1052))
% 0.56/0.69 [107]~P1(x1072)+P1(f22(x1071,x1072))
% 0.56/0.69 [108]~P1(x1081)+P1(f22(x1081,x1082))
% 0.56/0.69 [112]E(x1121,x1122)+~E(f2(x1121,a43),f2(x1122,a43))
% 0.56/0.69 [122]P2(x1221,x1222)+P1(f19(x1222,x1221))
% 0.56/0.69 [123]P2(x1231,x1232)+P1(f12(x1231,x1232))
% 0.56/0.69 [125]E(x1251,x1252)+~P1(f10(x1251,x1252))
% 0.56/0.69 [127]P1(x1271)+~P1(f6(x1272,x1271))
% 0.56/0.69 [128]P1(x1281)+~P1(f6(x1281,x1282))
% 0.56/0.69 [130]~P2(x1301,x1302)+P1(f20(x1301,x1302))
% 0.56/0.69 [131]~P2(x1312,x1311)+P1(f13(x1311,x1312))
% 0.56/0.69 [134]~P1(x1341)+~P1(f21(x1342,x1341))
% 0.56/0.69 [135]~P1(x1351)+~P1(f21(x1351,x1352))
% 0.56/0.69 [144]P2(x1441,x1442)+~P1(f20(x1441,x1442))
% 0.56/0.69 [145]P2(x1451,x1452)+~P1(f13(x1452,x1451))
% 0.56/0.69 [151]~P2(x1511,x1512)+~P1(f19(x1512,x1511))
% 0.56/0.69 [152]~P2(x1521,x1522)+~P1(f12(x1521,x1522))
% 0.56/0.69 [155]~P2(x1551,x1552)+P2(f2(x1551,a43),f2(x1552,a43))
% 0.56/0.69 [170]P2(x1701,x1702)+~P2(f2(x1701,a43),f2(x1702,a43))
% 0.56/0.69 [115]~E(x1153,a14)+E(f8(f4(x1151,x1152),x1153),x1151)
% 0.56/0.69 [154]P2(f42(x1541),x1543)+E(f8(f5(x1541,x1542),x1543),f8(x1541,x1543))
% 0.56/0.69 [157]P2(x1573,a14)+E(f8(f4(x1571,x1572),x1573),f8(x1572,f3(x1573,a43)))
% 0.56/0.69 [177]~P2(f42(x1773),x1772)+E(f8(x1771,f3(x1772,f42(x1773))),f8(f5(x1773,x1771),x1772))
% 0.56/0.69 [129]P1(f35(x1291))+P1(f39(x1291))+E(f40(f2(x1291,a43)),f40(x1291))
% 0.56/0.69 [124]~P2(x1242,x1241)+~P2(x1241,x1242)+E(x1241,x1242)
% 0.56/0.69 [109]P1(x1091)+P1(x1092)+P1(f21(x1092,x1091))
% 0.56/0.69 [110]P1(x1101)+P1(x1102)+P1(f29(x1101,x1102))
% 0.56/0.69 [111]P1(x1111)+P1(x1112)+P1(f11(x1111,x1112))
% 0.56/0.69 [113]~P1(x1132)+P1(x1131)+P1(f28(x1131,x1132))
% 0.56/0.69 [114]~P1(x1142)+P1(x1141)+P1(f28(x1142,x1141))
% 0.56/0.69 [119]~P1(x1192)+~P1(x1191)+P1(f6(x1191,x1192))
% 0.56/0.69 [120]~P1(x1201)+~P1(x1202)+P1(f29(x1201,x1202))
% 0.56/0.69 [121]~P1(x1211)+~P1(x1212)+P1(f11(x1211,x1212))
% 0.56/0.69 [136]P1(x1361)+P1(x1362)+~P1(f22(x1362,x1361))
% 0.56/0.69 [137]P1(x1371)+P1(x1372)+~P1(f28(x1371,x1372))
% 0.56/0.69 [138]P1(x1381)+~P1(x1382)+~P1(f29(x1381,x1382))
% 0.56/0.69 [139]P1(x1391)+~P1(x1392)+~P1(f11(x1391,x1392))
% 0.56/0.69 [140]P1(x1401)+~P1(x1402)+~P1(f29(x1402,x1401))
% 0.56/0.69 [141]P1(x1411)+~P1(x1412)+~P1(f11(x1412,x1411))
% 0.56/0.69 [142]~P1(x1421)+~P1(x1422)+~P1(f28(x1421,x1422))
% 0.56/0.69 [143]~P1(x1431)+~P1(x1432)+~P1(f18(x1432,x1431))
% 0.56/0.69 [146]~P2(x1462,x1461)+E(x1461,x1462)+P2(f2(x1462,a43),x1461)
% 0.56/0.69 [147]~P2(x1471,x1472)+E(x1471,x1472)+P2(f2(x1471,a43),x1472)
% 0.56/0.69 [156]P2(x1562,x1561)+~P2(x1562,f2(x1561,a43))+E(f2(x1561,a43),x1562)
% 0.56/0.69 [126]~P2(x1263,x1262)+P2(x1261,x1262)+P2(x1263,x1261)
% 0.56/0.69 [132]P3(x1322,x1321)+~E(f2(x1323,x1322),x1321)+E(f3(x1321,x1322),x1323)
% 0.56/0.69 [133]P3(x1332,x1333)+~E(f3(x1333,x1332),x1331)+E(f2(x1331,x1332),x1333)
% 0.56/0.69 [148]P1(f35(x1481))+P1(f36(x1481))+P1(f39(x1481))+E(f33(f2(x1481,a43)),f33(x1481))
% 0.56/0.69 [149]P1(f35(x1491))+P1(f36(x1491))+P1(f39(x1491))+E(f37(f2(x1491,a43)),f37(x1491))
% 0.56/0.69 [150]P1(f35(x1501))+P1(f36(x1501))+~P1(f39(x1501))+E(f37(f2(x1501,a43)),f37(x1501))
% 0.56/0.69 [158]P1(f39(x1581))+~P1(f41(x1581))+P1(f35(x1581))+P1(f41(f2(x1581,a43)))
% 0.56/0.69 [174]P1(f41(x1741))+P1(f39(x1741))+P1(f35(x1741))+~P1(f41(f2(x1741,a43)))
% 0.56/0.69 [182]~P1(f36(x1821))+~P1(f39(x1821))+P1(f35(x1821))+~P1(f41(f2(x1821,a43)))
% 0.56/0.69 [172]P1(f35(x1721))+~P1(f36(x1721))+~P1(f39(x1721))+E(f30(f2(f40(x1721),a43),a25),f40(f2(x1721,a43)))
% 0.56/0.69 [192]~P2(a14,x1922)+~P2(x1922,f3(a32,a43))+~P1(f35(x1921))+~P1(f8(f26(f2(x1921,a43)),x1922))
% 0.56/0.69 [159]P1(f35(x1591))+P2(f33(x1591),a14)+~P1(f36(x1591))+~P1(f39(x1591))+E(f33(f2(x1591,a43)),f33(x1591))
% 0.56/0.69 [160]P1(f35(x1601))+P1(f36(x1601))+~P1(f39(x1601))+~P2(a25,f33(x1601))+E(f33(f2(x1601,a43)),f33(x1601))
% 0.56/0.69 [161]P1(f35(x1611))+P1(f36(x1611))+~P1(f39(x1611))+~P2(a25,f33(x1611))+E(f40(f2(x1611,a43)),f40(x1611))
% 0.56/0.69 [162]P1(f35(x1621))+P1(f39(x1621))+~P1(f36(x1621))+~P2(f33(x1621),a14)+E(f33(f2(x1621,a43)),f33(x1621))
% 0.56/0.69 [163]P1(f35(x1631))+P1(f39(x1631))+~P1(f36(x1631))+~P2(f33(x1631),a14)+E(f37(f2(x1631,a43)),f37(x1631))
% 0.56/0.69 [164]P1(f35(x1641))+P1(f36(x1641))+P2(a25,f33(x1641))+~P1(f39(x1641))+E(f33(f2(x1641,a43)),f2(f33(x1641),a43))
% 0.56/0.69 [165]P1(f35(x1651))+P1(f39(x1651))+P2(f33(x1651),a14)+~P1(f36(x1651))+E(f33(f2(x1651,a43)),f3(f33(x1651),a43))
% 0.56/0.69 [166]P1(f36(x1661))+P1(f39(x1661))+~P1(f38(x1661))+P1(f35(x1661))+P1(f38(f2(x1661,a43)))
% 0.56/0.69 [167]P1(f35(x1671))+~P1(f36(x1671))+~P1(f39(x1671))+~P2(f33(x1671),a14)+E(f37(f2(x1671,a43)),f37(x1671))
% 0.56/0.69 [171]P1(f36(x1711))+~P1(f38(x1711))+~P1(f39(x1711))+P1(f35(x1711))+P1(f38(f2(x1711,a43)))
% 0.56/0.69 [173]P1(f35(x1731))+~P1(f36(x1731))+~P1(f39(x1731))+~P2(f33(x1731),a14)+E(f33(f2(x1731,a43)),f2(f33(x1731),a43))
% 0.56/0.69 [175]P1(f36(x1751))+~P1(f39(x1751))+~P2(a25,f33(x1751))+P1(f35(x1751))+P1(f41(f2(x1751,a43)))
% 0.56/0.69 [176]P1(f39(x1761))+~P1(f36(x1761))+~P2(f33(x1761),a14)+P1(f35(x1761))+P1(f38(f2(x1761,a43)))
% 0.56/0.69 [178]~P1(f36(x1781))+~P1(f39(x1781))+~P2(f33(x1781),a14)+P1(f35(x1781))+P1(f38(f2(x1781,a43)))
% 0.56/0.69 [179]P1(f38(x1791))+P1(f36(x1791))+P1(f39(x1791))+P1(f35(x1791))+~P1(f38(f2(x1791,a43)))
% 0.56/0.69 [183]P1(f38(x1831))+P1(f36(x1831))+~P1(f39(x1831))+P1(f35(x1831))+~P1(f38(f2(x1831,a43)))
% 0.56/0.69 [185]P1(f36(x1851))+P2(a25,f33(x1851))+~P1(f39(x1851))+P1(f35(x1851))+~P1(f41(f2(x1851,a43)))
% 0.56/0.69 [186]P1(f39(x1861))+P2(f33(x1861),a14)+~P1(f36(x1861))+P1(f35(x1861))+~P1(f38(f2(x1861,a43)))
% 0.56/0.69 [187]P2(f33(x1871),a14)+~P1(f36(x1871))+~P1(f39(x1871))+P1(f35(x1871))+~P1(f38(f2(x1871,a43)))
% 0.56/0.69 [180]P1(f35(x1801))+P1(f36(x1801))+P2(a25,f33(x1801))+~P1(f39(x1801))+E(f30(f2(f40(x1801),a43),a25),f40(f2(x1801,a43)))
% 0.56/0.69 [181]P1(f35(x1811))+P1(f39(x1811))+P2(f33(x1811),a14)+~P1(f36(x1811))+E(f30(f2(f37(x1811),a43),a25),f37(f2(x1811,a43)))
% 0.56/0.69 [184]P1(f35(x1841))+P2(f33(x1841),a14)+~P1(f36(x1841))+~P1(f39(x1841))+E(f30(f2(f37(x1841),a43),a25),f37(f2(x1841,a43)))
% 0.56/0.69 [188]~P2(a14,x1882)+~P2(x1882,f3(a32,a43))+P1(f35(x1881))+P1(f36(x1881))+P1(f39(x1881))+E(f8(f26(f2(x1881,a43)),x1882),f8(f26(x1881),x1882))
% 0.56/0.69 [189]~P2(a14,x1892)+~P2(x1892,f3(a32,a43))+P1(f35(x1891))+P1(f36(x1891))+~P1(f39(x1891))+E(f8(f26(f2(x1891,a43)),x1892),f8(f26(x1891),x1892))
% 0.56/0.69 [198]~P2(a14,x1982)+~P2(x1982,f3(a32,a43))+P1(f35(x1981))+~P1(f36(x1981))+~P1(f39(x1981))+E(f8(f8(f24(f2(x1981,a43)),f3(f3(a25,a43),f40(x1981))),x1982),f8(f27(x1981),x1982))
% 0.56/0.69 [201]~P2(a14,x2012)+~P2(a14,x2013)+~P2(x2012,f3(a32,a43))+~P2(x2013,f3(a25,a43))+~P1(f35(x2011))+~P1(f8(f8(f24(f2(x2011,a43)),x2013),x2012))
% 0.56/0.69 [190]~P2(a14,x1902)+~P2(x1902,f3(a32,a43))+P1(f35(x1901))+P1(f39(x1901))+~P1(f36(x1901))+~P2(f33(x1901),a14)+E(f8(f26(f2(x1901,a43)),x1902),f8(f26(x1901),x1902))
% 0.56/0.69 [191]~P2(a14,x1912)+~P2(x1912,f3(a32,a43))+P1(f35(x1911))+~P1(f36(x1911))+~P1(f39(x1911))+~P2(f33(x1911),a14)+E(f8(f26(f2(x1911,a43)),x1912),f8(f26(x1911),x1912))
% 0.56/0.69 [194]~P2(a14,x1942)+~P2(x1942,f3(a32,a43))+P1(f35(x1941))+P1(f39(x1941))+P2(f33(x1941),a14)+~P1(f36(x1941))+E(f8(f8(f24(x1941),f3(f3(a25,a43),f37(x1941))),x1942),f8(f26(f2(x1941,a43)),x1942))
% 0.56/0.69 [195]~P2(a14,x1952)+~P2(x1952,f3(a32,a43))+P1(f35(x1951))+P2(f33(x1951),a14)+~P1(f36(x1951))+~P1(f39(x1951))+E(f8(f8(f24(x1951),f3(f3(a25,a43),f37(x1951))),x1952),f8(f26(f2(x1951,a43)),x1952))
% 0.56/0.69 [200]~P2(a14,x2002)+~P2(x2002,f3(a32,a43))+P1(f35(x2001))+P1(f36(x2001))+P2(a25,f33(x2001))+~P1(f39(x2001))+E(f8(f8(f24(f2(x2001,a43)),f3(f3(a25,a43),f40(x2001))),x2002),f8(f27(x2001),x2002))
% 0.56/0.69 [193]~P2(a14,x1933)+~P2(a14,x1932)+~P2(x1933,f3(a32,a43))+~P2(x1932,f3(a25,a43))+P1(f35(x1931))+P1(f39(x1931))+E(f8(f8(f24(f2(x1931,a43)),x1932),x1933),f8(f8(f24(x1931),x1932),x1933))
% 0.56/0.69 [196]~P2(a14,x1963)+~P2(a14,x1962)+~P2(x1963,f3(a32,a43))+~P2(x1962,f3(a25,a43))+P1(f35(x1961))+P1(f36(x1961))+~P1(f39(x1961))+~P2(a25,f33(x1961))+E(f8(f8(f24(f2(x1961,a43)),x1962),x1963),f8(f8(f24(x1961),x1962),x1963))
% 0.56/0.69 [197]~P2(a14,x1973)+~P2(a14,x1971)+~P2(x1973,f3(a32,a43))+~P2(x1971,f3(a25,a43))+P1(f35(x1972))+~P1(f36(x1972))+~P1(f39(x1972))+E(x1971,f3(f3(a25,a43),f40(x1972)))+E(f8(f8(f24(f2(x1972,a43)),x1971),x1973),f8(f8(f24(x1972),x1971),x1973))
% 0.56/0.69 [199]~P2(a14,x1993)+~P2(a14,x1991)+~P2(x1993,f3(a32,a43))+~P2(x1991,f3(a25,a43))+P1(f35(x1992))+P1(f36(x1992))+P2(a25,f33(x1992))+~P1(f39(x1992))+E(x1991,f3(f3(a25,a43),f40(x1992)))+E(f8(f8(f24(f2(x1992,a43)),x1991),x1993),f8(f8(f24(x1992),x1991),x1993))
% 0.56/0.69 %EqnAxiom
% 0.56/0.69 [1]E(x11,x11)
% 0.56/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.69 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.56/0.69 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 0.56/0.69 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 0.56/0.69 [7]~E(x71,x72)+E(f33(x71),f33(x72))
% 0.56/0.69 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 0.56/0.69 [9]~E(x91,x92)+E(f8(x91,x93),f8(x92,x93))
% 0.56/0.69 [10]~E(x101,x102)+E(f8(x103,x101),f8(x103,x102))
% 0.56/0.69 [11]~E(x111,x112)+E(f24(x111),f24(x112))
% 0.56/0.69 [12]~E(x121,x122)+E(f3(x121,x123),f3(x122,x123))
% 0.56/0.69 [13]~E(x131,x132)+E(f3(x133,x131),f3(x133,x132))
% 0.56/0.69 [14]~E(x141,x142)+E(f39(x141),f39(x142))
% 0.56/0.69 [15]~E(x151,x152)+E(f36(x151),f36(x152))
% 0.56/0.69 [16]~E(x161,x162)+E(f26(x161),f26(x162))
% 0.56/0.69 [17]~E(x171,x172)+E(f40(x171),f40(x172))
% 0.56/0.69 [18]~E(x181,x182)+E(f41(x181),f41(x182))
% 0.56/0.69 [19]~E(x191,x192)+E(f35(x191),f35(x192))
% 0.56/0.69 [20]~E(x201,x202)+E(f27(x201),f27(x202))
% 0.56/0.69 [21]~E(x211,x212)+E(f19(x211,x213),f19(x212,x213))
% 0.56/0.69 [22]~E(x221,x222)+E(f19(x223,x221),f19(x223,x222))
% 0.56/0.69 [23]~E(x231,x232)+E(f38(x231),f38(x232))
% 0.56/0.69 [24]~E(x241,x242)+E(f6(x241,x243),f6(x242,x243))
% 0.56/0.69 [25]~E(x251,x252)+E(f6(x253,x251),f6(x253,x252))
% 0.56/0.69 [26]~E(x261,x262)+E(f4(x261,x263),f4(x262,x263))
% 0.56/0.69 [27]~E(x271,x272)+E(f4(x273,x271),f4(x273,x272))
% 0.56/0.69 [28]~E(x281,x282)+E(f11(x281,x283),f11(x282,x283))
% 0.56/0.69 [29]~E(x291,x292)+E(f11(x293,x291),f11(x293,x292))
% 0.56/0.69 [30]~E(x301,x302)+E(f37(x301),f37(x302))
% 0.56/0.69 [31]~E(x311,x312)+E(f18(x311,x313),f18(x312,x313))
% 0.56/0.69 [32]~E(x321,x322)+E(f18(x323,x321),f18(x323,x322))
% 0.56/0.69 [33]~E(x331,x332)+E(f10(x331,x333),f10(x332,x333))
% 0.56/0.69 [34]~E(x341,x342)+E(f10(x343,x341),f10(x343,x342))
% 0.56/0.69 [35]~E(x351,x352)+E(f17(x351),f17(x352))
% 0.56/0.69 [36]~E(x361,x362)+E(f30(x361,x363),f30(x362,x363))
% 0.56/0.69 [37]~E(x371,x372)+E(f30(x373,x371),f30(x373,x372))
% 0.56/0.69 [38]~E(x381,x382)+E(f34(x381),f34(x382))
% 0.56/0.69 [39]~E(x391,x392)+E(f12(x391,x393),f12(x392,x393))
% 0.56/0.69 [40]~E(x401,x402)+E(f12(x403,x401),f12(x403,x402))
% 0.56/0.69 [41]~E(x411,x412)+E(f31(x411),f31(x412))
% 0.56/0.69 [42]~E(x421,x422)+E(f23(x421,x423,x424),f23(x422,x423,x424))
% 0.56/0.69 [43]~E(x431,x432)+E(f23(x433,x431,x434),f23(x433,x432,x434))
% 0.56/0.69 [44]~E(x441,x442)+E(f23(x443,x444,x441),f23(x443,x444,x442))
% 0.56/0.69 [45]~E(x451,x452)+E(f5(x451,x453),f5(x452,x453))
% 0.56/0.69 [46]~E(x461,x462)+E(f5(x463,x461),f5(x463,x462))
% 0.56/0.69 [47]~E(x471,x472)+E(f21(x471,x473),f21(x472,x473))
% 0.56/0.69 [48]~E(x481,x482)+E(f21(x483,x481),f21(x483,x482))
% 0.56/0.69 [49]~E(x491,x492)+E(f29(x491,x493),f29(x492,x493))
% 0.56/0.69 [50]~E(x501,x502)+E(f29(x503,x501),f29(x503,x502))
% 0.56/0.69 [51]~E(x511,x512)+E(f28(x511,x513),f28(x512,x513))
% 0.56/0.69 [52]~E(x521,x522)+E(f28(x523,x521),f28(x523,x522))
% 0.56/0.69 [53]~E(x531,x532)+E(f13(x531,x533),f13(x532,x533))
% 0.56/0.70 [54]~E(x541,x542)+E(f13(x543,x541),f13(x543,x542))
% 0.56/0.70 [55]~E(x551,x552)+E(f20(x551,x553),f20(x552,x553))
% 0.56/0.70 [56]~E(x561,x562)+E(f20(x563,x561),f20(x563,x562))
% 0.56/0.70 [57]~E(x571,x572)+E(f22(x571,x573),f22(x572,x573))
% 0.56/0.70 [58]~E(x581,x582)+E(f22(x583,x581),f22(x583,x582))
% 0.56/0.70 [59]~E(x591,x592)+E(f42(x591),f42(x592))
% 0.56/0.70 [60]~E(x601,x602)+E(f45(x601),f45(x602))
% 0.56/0.70 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.56/0.70 [62]P2(x622,x623)+~E(x621,x622)+~P2(x621,x623)
% 0.56/0.70 [63]P2(x633,x632)+~E(x631,x632)+~P2(x633,x631)
% 0.56/0.70 [64]P3(x642,x643)+~E(x641,x642)+~P3(x641,x643)
% 0.56/0.70 [65]P3(x653,x652)+~E(x651,x652)+~P3(x653,x651)
% 0.56/0.70
% 0.56/0.70 %-------------------------------------------
% 0.56/0.70 cnf(202,plain,
% 0.56/0.70 ($false),
% 0.56/0.70 inference(scs_inference,[],[88,89,90,92,148]),
% 0.56/0.70 ['proof']).
% 0.56/0.70 % SZS output end Proof
% 0.56/0.70 % Total time :0.010000s
%------------------------------------------------------------------------------