%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC023-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 : Mon Jun 24 16:13:37 EDT 2024
% Result : Unsatisfiable 0.53s 0.79s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC023-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 02:32:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.52/0.57 start to proof:theBenchmark
% 0.53/0.78 %-------------------------------------------
% 0.53/0.78 % File :CSE---1.7
% 0.53/0.78 % Problem :theBenchmark
% 0.53/0.78 % Transform :cnf
% 0.53/0.78 % Format :tptp:raw
% 0.53/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.78
% 0.53/0.78 % Result :Theorem 0.140000s
% 0.53/0.78 % Output :CNFRefutation 0.140000s
% 0.53/0.78 %-------------------------------------------
% 0.53/0.78 %--------------------------------------------------------------------------
% 0.53/0.78 % File : SWC023-1 : TPTP v8.2.0. Released v2.4.0.
% 0.53/0.78 % Domain : Software Creation
% 0.53/0.78 % Problem : cond_id_front_x_id_front_total2
% 0.53/0.78 % Version : [Wei00] axioms.
% 0.53/0.78 % English : Find components in a software library that match a given target
% 0.53/0.78 % specification given in first-order logic. The components are
% 0.53/0.78 % specified in first-order logic as well. The problem represents
% 0.53/0.78 % a test of one library module specification against a target
% 0.53/0.78 % specification.
% 0.53/0.78
% 0.53/0.78 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.53/0.78 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.53/0.78 % Source : [TPTP]
% 0.53/0.78 % Names :
% 0.53/0.78
% 0.53/0.78 % Status : Unsatisfiable
% 0.53/0.78 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.27 v2.7.0, 0.42 v2.6.0, 0.44 v2.5.0, 0.22 v2.4.0
% 0.53/0.78 % Syntax : Number of clauses : 201 ( 61 unt; 41 nHn; 158 RR)
% 0.53/0.78 % Number of literals : 631 ( 108 equ; 402 neg)
% 0.53/0.78 % Maximal clause size : 10 ( 3 avg)
% 0.53/0.78 % Maximal term depth : 5 ( 1 avg)
% 0.53/0.78 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.53/0.78 % Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% 0.53/0.78 % Number of variables : 327 ( 49 sgn)
% 0.53/0.78 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.53/0.78
% 0.53/0.78 % Comments : Created by CNF conversion from SWC023+1
% 0.53/0.78 %--------------------------------------------------------------------------
% 0.53/0.78 %----Include list specification axioms
% 0.53/0.78 include('Axioms/SWC001-0.ax').
% 0.53/0.78 %--------------------------------------------------------------------------
% 0.53/0.79 cnf(co1_1,negated_conjecture,
% 0.53/0.79 ssList(sk1) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_2,negated_conjecture,
% 0.53/0.79 ssList(sk2) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_3,negated_conjecture,
% 0.53/0.79 ssList(sk3) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_4,negated_conjecture,
% 0.53/0.79 ssList(sk4) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_5,negated_conjecture,
% 0.53/0.79 sk2 = sk4 ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_6,negated_conjecture,
% 0.53/0.79 sk1 = sk3 ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_7,negated_conjecture,
% 0.53/0.79 neq(sk2,nil) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_8,negated_conjecture,
% 0.53/0.79 ( ~ ssList(A)
% 0.53/0.79 | ~ neq(A,nil)
% 0.53/0.79 | ~ frontsegP(sk2,A)
% 0.53/0.79 | ~ frontsegP(sk1,A) ) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_9,negated_conjecture,
% 0.53/0.79 ( ssList(sk5)
% 0.53/0.79 | nil = sk4 ) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_10,negated_conjecture,
% 0.53/0.79 ( ssList(sk5)
% 0.53/0.79 | nil = sk3 ) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_11,negated_conjecture,
% 0.53/0.79 ( neq(sk5,nil)
% 0.53/0.79 | nil = sk4 ) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_12,negated_conjecture,
% 0.53/0.79 ( frontsegP(sk4,sk5)
% 0.53/0.79 | nil = sk4 ) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_13,negated_conjecture,
% 0.53/0.79 ( frontsegP(sk3,sk5)
% 0.53/0.79 | nil = sk4 ) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_14,negated_conjecture,
% 0.53/0.79 ( neq(sk5,nil)
% 0.53/0.79 | nil = sk3 ) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_15,negated_conjecture,
% 0.53/0.79 ( frontsegP(sk4,sk5)
% 0.53/0.79 | nil = sk3 ) ).
% 0.53/0.79
% 0.53/0.79 cnf(co1_16,negated_conjecture,
% 0.53/0.79 ( frontsegP(sk3,sk5)
% 0.53/0.79 | nil = sk3 ) ).
% 0.53/0.79
% 0.53/0.79 %--------------------------------------------------------------------------
% 0.53/0.79 %-------------------------------------------
% 0.53/0.79 % Proof found
% 0.53/0.79 % SZS status Theorem for theBenchmark
% 0.53/0.79 % SZS output start Proof
% 0.53/0.79 %ClaNum:286(EqnAxiom:85)
% 0.53/0.79 %VarNum:895(SingletonVarNum:323)
% 0.53/0.79 %MaxLitNum:10
% 0.53/0.79 %MaxfuncDepth:4
% 0.53/0.79 %SharedTerms:33
% 0.53/0.79 %goalClause: 86 87 96 97 98 99 138 147 148 149 150 151 152 153 154 237
% 0.53/0.79 %singleGoalClaCount:7
% 0.53/0.79 [86]E(a1,a2)
% 0.53/0.79 [87]E(a7,a8)
% 0.53/0.79 [88]P1(a3)
% 0.53/0.79 [89]P2(a3)
% 0.53/0.79 [90]P4(a3)
% 0.53/0.79 [91]P18(a3)
% 0.53/0.79 [92]P5(a3)
% 0.53/0.79 [93]P19(a3)
% 0.53/0.79 [94]P3(a3)
% 0.53/0.79 [95]P6(a3)
% 0.53/0.79 [96]P6(a2)
% 0.53/0.79 [97]P6(a7)
% 0.53/0.79 [98]P6(a1)
% 0.53/0.79 [99]P6(a8)
% 0.53/0.79 [100]P7(a9)
% 0.53/0.79 [101]P7(a10)
% 0.53/0.79 [138]P8(a7,a3)
% 0.53/0.79 [145]~E(a10,a9)
% 0.53/0.79 [146]~P15(a3)
% 0.53/0.79 [102]P6(f12(x1021))
% 0.53/0.79 [103]P6(f13(x1031))
% 0.53/0.79 [104]P6(f14(x1041))
% 0.53/0.79 [105]P6(f15(x1051))
% 0.53/0.79 [106]P6(f16(x1061))
% 0.53/0.79 [107]P6(f17(x1071))
% 0.53/0.79 [108]P6(f18(x1081))
% 0.53/0.79 [109]P6(f19(x1091))
% 0.53/0.79 [110]P6(f20(x1101))
% 0.53/0.79 [111]P6(f21(x1111))
% 0.53/0.79 [112]P6(f22(x1121))
% 0.53/0.79 [113]P6(f23(x1131))
% 0.53/0.79 [114]P6(f24(x1141))
% 0.53/0.79 [115]P6(f25(x1151))
% 0.53/0.79 [116]P6(f26(x1161))
% 0.53/0.79 [117]P6(f27(x1171))
% 0.53/0.79 [118]P6(f28(x1181))
% 0.53/0.79 [119]P6(f29(x1191))
% 0.53/0.79 [120]P6(f30(x1201))
% 0.53/0.79 [121]P6(f31(x1211))
% 0.53/0.79 [122]P6(f32(x1221))
% 0.53/0.79 [123]P7(f53(x1231))
% 0.53/0.79 [124]P7(f51(x1241))
% 0.53/0.79 [125]P7(f52(x1251))
% 0.53/0.79 [126]P7(f50(x1261))
% 0.53/0.79 [127]P7(f48(x1271))
% 0.53/0.79 [128]P7(f49(x1281))
% 0.53/0.79 [129]P7(f46(x1291))
% 0.53/0.79 [130]P7(f47(x1301))
% 0.53/0.79 [131]P7(f44(x1311))
% 0.53/0.79 [132]P7(f45(x1321))
% 0.53/0.79 [133]P7(f42(x1331))
% 0.53/0.79 [134]P7(f43(x1341))
% 0.53/0.79 [135]P7(f33(x1351))
% 0.53/0.79 [136]P7(f34(x1361))
% 0.53/0.79 [137]P7(f35(x1371))
% 0.53/0.79 [139]P6(f38(x1391,x1392))
% 0.53/0.79 [140]P6(f39(x1401,x1402))
% 0.53/0.79 [141]P6(f40(x1411,x1412))
% 0.53/0.79 [142]P6(f41(x1421,x1422))
% 0.53/0.79 [143]P6(f36(x1431,x1432))
% 0.53/0.79 [144]P6(f37(x1441,x1442))
% 0.53/0.79 [147]E(a1,a3)+P6(a11)
% 0.53/0.79 [148]E(a3,a8)+P6(a11)
% 0.53/0.79 [149]E(a1,a3)+P9(a1,a11)
% 0.53/0.79 [150]E(a1,a3)+P9(a8,a11)
% 0.53/0.79 [151]E(a1,a3)+P8(a11,a3)
% 0.53/0.79 [152]E(a3,a8)+P9(a1,a11)
% 0.53/0.79 [153]E(a3,a8)+P9(a8,a11)
% 0.53/0.79 [154]E(a3,a8)+P8(a11,a3)
% 0.53/0.79 [160]~P6(x1601)+P16(x1601,a3)
% 0.53/0.79 [161]~P6(x1611)+P17(x1611,a3)
% 0.53/0.79 [162]~P6(x1621)+P9(x1621,a3)
% 0.53/0.79 [165]~P7(x1651)+P10(x1651,x1651)
% 0.53/0.79 [166]~P6(x1661)+P16(x1661,x1661)
% 0.53/0.79 [167]~P6(x1671)+P17(x1671,x1671)
% 0.53/0.79 [168]~P6(x1681)+P9(x1681,x1681)
% 0.53/0.79 [169]~P7(x1691)+P11(x1691,x1691)
% 0.53/0.79 [174]~P7(x1741)+~P13(a3,x1741)
% 0.53/0.79 [178]~P14(x1781,x1781)+~P7(x1781)
% 0.53/0.79 [163]~P6(x1631)+E(f5(x1631,a3),x1631)
% 0.53/0.79 [164]~P6(x1641)+E(f5(a3,x1641),x1641)
% 0.53/0.79 [183]~P7(x1831)+P1(f6(x1831,a3))
% 0.53/0.79 [184]~P7(x1841)+P2(f6(x1841,a3))
% 0.53/0.79 [185]~P7(x1851)+P4(f6(x1851,a3))
% 0.53/0.79 [186]~P7(x1861)+P18(f6(x1861,a3))
% 0.53/0.79 [187]~P7(x1871)+P5(f6(x1871,a3))
% 0.53/0.79 [188]~P7(x1881)+P19(f6(x1881,a3))
% 0.53/0.79 [189]~P7(x1891)+P3(f6(x1891,a3))
% 0.53/0.79 [170]~P6(x1701)+~E(a3,x1701)+P16(a3,x1701)
% 0.53/0.79 [171]~P6(x1711)+~E(a3,x1711)+P17(a3,x1711)
% 0.53/0.79 [172]~P6(x1721)+~E(a3,x1721)+P9(a3,x1721)
% 0.53/0.79 [175]~P6(x1751)+~P16(a3,x1751)+E(a3,x1751)
% 0.53/0.79 [176]~P6(x1761)+~P17(a3,x1761)+E(a3,x1761)
% 0.53/0.79 [177]~P6(x1771)+~P9(a3,x1771)+E(a3,x1771)
% 0.53/0.79 [157]~P6(x1571)+E(a3,x1571)+P6(f54(x1571))
% 0.53/0.79 [159]~P6(x1591)+E(a3,x1591)+P7(f4(x1591))
% 0.53/0.79 [173]~P6(x1731)+P1(x1731)+~E(f52(x1731),f51(x1731))
% 0.53/0.79 [194]~P6(x1941)+P3(x1941)+P11(f33(x1941),f34(x1941))
% 0.53/0.79 [195]~P6(x1951)+P3(x1951)+P11(f34(x1951),f33(x1951))
% 0.53/0.79 [215]~P6(x2151)+P4(x2151)+~P14(f49(x2151),f48(x2151))
% 0.53/0.79 [216]~P6(x2161)+P18(x2161)+~P11(f47(x2161),f46(x2161))
% 0.53/0.79 [217]~P6(x2171)+P5(x2171)+~P14(f44(x2171),f45(x2171))
% 0.53/0.79 [218]~P6(x2181)+P5(x2181)+~P14(f45(x2181),f44(x2181))
% 0.53/0.79 [219]~P6(x2191)+P19(x2191)+~P11(f42(x2191),f43(x2191))
% 0.53/0.79 [220]~P6(x2201)+P19(x2201)+~P11(f43(x2201),f42(x2201))
% 0.53/0.79 [182]~P6(x1821)+~P15(x1821)+E(f6(f35(x1821),a3),x1821)
% 0.53/0.79 [190]~P6(x1901)+E(a3,x1901)+E(f6(f53(x1901),f12(x1901)),x1901)
% 0.53/0.79 [191]~P6(x1911)+E(a3,x1911)+E(f6(f4(x1911),f54(x1911)),x1911)
% 0.53/0.79 [275]P2(x2751)+~P6(x2751)+E(f5(f5(f17(x2751),f6(f50(x2751),f16(x2751))),f6(f50(x2751),f15(x2751))),x2751)
% 0.53/0.79 [276]P4(x2761)+~P6(x2761)+E(f5(f5(f20(x2761),f6(f49(x2761),f19(x2761))),f6(f48(x2761),f18(x2761))),x2761)
% 0.53/0.79 [277]P18(x2771)+~P6(x2771)+E(f5(f5(f23(x2771),f6(f47(x2771),f22(x2771))),f6(f46(x2771),f21(x2771))),x2771)
% 0.53/0.79 [278]P5(x2781)+~P6(x2781)+E(f5(f5(f26(x2781),f6(f45(x2781),f25(x2781))),f6(f44(x2781),f24(x2781))),x2781)
% 0.53/0.79 [279]P19(x2791)+~P6(x2791)+E(f5(f5(f29(x2791),f6(f43(x2791),f28(x2791))),f6(f42(x2791),f27(x2791))),x2791)
% 0.53/0.79 [280]P3(x2801)+~P6(x2801)+E(f5(f5(f32(x2801),f6(f34(x2801),f31(x2801))),f6(f33(x2801),f30(x2801))),x2801)
% 0.53/0.79 [273]P1(x2731)+~P6(x2731)+E(f5(f14(x2731),f6(f52(x2731),f6(f51(x2731),f13(x2731)))),x2731)
% 0.53/0.79 [155]~P6(x1551)+P2(x1551)+P7(x1552)
% 0.53/0.79 [192]~P6(x1922)+~P7(x1921)+~E(f6(x1921,x1922),a3)
% 0.53/0.79 [193]~P6(x1932)+~P7(x1931)+~E(f6(x1931,x1932),x1932)
% 0.53/0.79 [202]~P6(x2022)+~P7(x2021)+P6(f6(x2021,x2022))
% 0.53/0.79 [203]~P6(x2031)+~P6(x2032)+P6(f5(x2031,x2032))
% 0.53/0.79 [204]~P6(x2042)+~P7(x2041)+E(f54(f6(x2041,x2042)),x2042)
% 0.53/0.79 [205]~P6(x2052)+~P7(x2051)+E(f4(f6(x2051,x2052)),x2051)
% 0.53/0.79 [232]~P6(x2322)+~P7(x2321)+E(f5(f6(x2321,a3),x2322),f6(x2321,x2322))
% 0.53/0.79 [237]~P6(x2371)+~P8(x2371,a3)+~P9(a2,x2371)+~P9(a7,x2371)
% 0.53/0.79 [179]P8(x1792,x1791)+~P6(x1792)+~P6(x1791)+E(x1791,x1792)
% 0.53/0.79 [180]P8(x1802,x1801)+~P7(x1802)+~P7(x1801)+E(x1801,x1802)
% 0.53/0.79 [199]~P6(x1992)+~P6(x1991)+~P8(x1991,x1992)+~E(x1991,x1992)
% 0.53/0.79 [200]~P7(x2002)+~P7(x2001)+~P14(x2001,x2002)+~E(x2001,x2002)
% 0.53/0.79 [201]~P7(x2012)+~P7(x2011)+~P8(x2011,x2012)+~E(x2011,x2012)
% 0.53/0.79 [210]~P7(x2101)+~P7(x2102)+~P11(x2102,x2101)+P10(x2101,x2102)
% 0.53/0.79 [211]~P7(x2111)+~P7(x2112)+~P10(x2112,x2111)+P11(x2111,x2112)
% 0.53/0.79 [212]~P7(x2122)+~P7(x2121)+~P14(x2121,x2122)+P11(x2121,x2122)
% 0.53/0.79 [213]~P7(x2131)+~P7(x2132)+~P12(x2132,x2131)+P14(x2131,x2132)
% 0.53/0.79 [214]~P7(x2141)+~P7(x2142)+~P14(x2142,x2141)+P12(x2141,x2142)
% 0.53/0.79 [223]~P14(x2231,x2232)+~P14(x2232,x2231)+~P7(x2231)+~P7(x2232)
% 0.53/0.79 [224]~P12(x2241,x2242)+~P12(x2242,x2241)+~P7(x2241)+~P7(x2242)
% 0.53/0.79 [196]~P6(x1961)+~P6(x1962)+E(a3,x1961)+~E(f5(x1962,x1961),a3)
% 0.53/0.79 [197]~P6(x1972)+~P6(x1971)+E(a3,x1971)+~E(f5(x1971,x1972),a3)
% 0.53/0.79 [198]~P6(x1981)+~P7(x1982)+P15(x1981)+~E(f6(x1982,a3),x1981)
% 0.53/0.79 [207]~P6(x2072)+~P7(x2071)+~E(a3,x2072)+P4(f6(x2071,x2072))
% 0.53/0.79 [208]~P6(x2082)+~P7(x2081)+~E(a3,x2082)+P18(f6(x2081,x2082))
% 0.53/0.79 [209]~P6(x2091)+~P6(x2092)+E(a3,x2091)+E(f4(f5(x2091,x2092)),f4(x2091))
% 0.53/0.79 [234]~P6(x2341)+~P6(x2342)+E(a3,x2341)+E(f54(f5(x2341,x2342)),f5(f54(x2341),x2342))
% 0.53/0.79 [242]~P6(x2421)+~P6(x2422)+~P9(x2422,x2421)+E(f5(x2421,f41(x2422,x2421)),x2422)
% 0.53/0.79 [243]~P6(x2432)+~P6(x2431)+~P17(x2431,x2432)+E(f5(f40(x2431,x2432),x2432),x2431)
% 0.53/0.79 [272]~P6(x2722)+~P6(x2721)+~P16(x2721,x2722)+E(f5(f5(f39(x2721,x2722),x2722),f38(x2722,x2721)),x2721)
% 0.53/0.79 [271]~P6(x2711)+~P7(x2712)+~P13(x2711,x2712)+E(f5(f37(x2711,x2712),f6(x2712,f36(x2712,x2711))),x2711)
% 0.53/0.79 [261]~P6(x2613)+~P6(x2612)+~P7(x2611)+E(f6(x2611,f5(x2612,x2613)),f5(f6(x2611,x2612),x2613))
% 0.53/0.79 [262]~P6(x2621)+~P6(x2622)+~P6(x2623)+E(f5(f5(x2621,x2622),x2623),f5(x2621,f5(x2622,x2623)))
% 0.53/0.79 [222]P14(x2221,x2222)+~P7(x2222)+~P7(x2221)+~P11(x2221,x2222)+E(x2221,x2222)
% 0.53/0.79 [227]~P6(x2272)+~P6(x2271)+~P16(x2272,x2271)+~P16(x2271,x2272)+E(x2271,x2272)
% 0.53/0.79 [228]~P6(x2282)+~P6(x2281)+~P17(x2282,x2281)+~P17(x2281,x2282)+E(x2281,x2282)
% 0.53/0.80 [229]~P6(x2292)+~P6(x2291)+~P9(x2292,x2291)+~P9(x2291,x2292)+E(x2291,x2292)
% 0.53/0.80 [230]~P7(x2302)+~P7(x2301)+~P10(x2302,x2301)+~P10(x2301,x2302)+E(x2301,x2302)
% 0.53/0.80 [231]~P7(x2312)+~P7(x2311)+~P11(x2312,x2311)+~P11(x2311,x2312)+E(x2311,x2312)
% 0.53/0.80 [181]~P6(x1812)+~P6(x1811)+~E(a3,x1812)+~E(a3,x1811)+E(f5(x1811,x1812),a3)
% 0.53/0.80 [238]P4(x2381)+~P6(x2381)+~P7(x2382)+E(a3,x2381)+~P4(f6(x2382,x2381))
% 0.53/0.80 [239]P18(x2391)+~P6(x2391)+~P7(x2392)+E(a3,x2391)+~P18(f6(x2392,x2391))
% 0.53/0.80 [252]~P6(x2521)+~P7(x2522)+E(a3,x2521)+P11(x2522,f4(x2521))+~P18(f6(x2522,x2521))
% 0.53/0.80 [253]~P6(x2531)+~P7(x2532)+E(a3,x2531)+P14(x2532,f4(x2531))+~P4(f6(x2532,x2531))
% 0.53/0.80 [225]~P6(x2251)+~P6(x2252)+~P6(x2253)+P17(x2251,x2252)+~E(f5(x2253,x2252),x2251)
% 0.53/0.80 [226]~P6(x2261)+~P6(x2263)+~P6(x2262)+P9(x2261,x2262)+~E(f5(x2262,x2263),x2261)
% 0.53/0.80 [233]~E(x2333,x2331)+~P6(x2332)+~P7(x2331)+~P7(x2333)+P13(f6(x2331,x2332),x2333)
% 0.53/0.80 [235]~P6(x2352)+~P6(x2351)+~P6(x2353)+E(x2351,x2352)+~E(f5(x2353,x2351),f5(x2353,x2352))
% 0.53/0.80 [236]~P6(x2362)+~P6(x2363)+~P6(x2361)+E(x2361,x2362)+~E(f5(x2361,x2363),f5(x2362,x2363))
% 0.53/0.80 [254]~P6(x2541)+~P6(x2543)+~P6(x2542)+~P17(x2542,x2543)+P17(f5(x2541,x2542),x2543)
% 0.53/0.80 [255]~P6(x2552)+~P6(x2553)+~P6(x2551)+~P9(x2551,x2553)+P9(f5(x2551,x2552),x2553)
% 0.53/0.80 [256]~P6(x2562)+~P7(x2561)+~P7(x2563)+~P13(x2562,x2563)+P13(f6(x2561,x2562),x2563)
% 0.53/0.80 [257]~P6(x2571)+~P6(x2572)+~P7(x2573)+~P13(x2572,x2573)+P13(f5(x2571,x2572),x2573)
% 0.53/0.80 [258]~P6(x2582)+~P6(x2581)+~P7(x2583)+~P13(x2581,x2583)+P13(f5(x2581,x2582),x2583)
% 0.53/0.80 [259]~P4(x2591)+~P6(x2591)+~P7(x2592)+~P14(x2592,f4(x2591))+E(a3,x2591)+P4(f6(x2592,x2591))
% 0.53/0.80 [260]~P18(x2601)+~P6(x2601)+~P7(x2602)+~P11(x2602,f4(x2601))+E(a3,x2601)+P18(f6(x2602,x2601))
% 0.53/0.80 [244]~P7(x2442)+~P7(x2441)+~P10(x2443,x2442)+~P10(x2441,x2443)+P10(x2441,x2442)+~P7(x2443)
% 0.53/0.80 [245]~P6(x2452)+~P6(x2451)+~P16(x2453,x2452)+~P16(x2451,x2453)+P16(x2451,x2452)+~P6(x2453)
% 0.53/0.80 [246]~P6(x2462)+~P6(x2461)+~P17(x2463,x2462)+~P17(x2461,x2463)+P17(x2461,x2462)+~P6(x2463)
% 0.53/0.80 [247]~P6(x2472)+~P6(x2471)+~P9(x2473,x2472)+~P9(x2471,x2473)+P9(x2471,x2472)+~P6(x2473)
% 0.53/0.80 [248]~P7(x2482)+~P7(x2481)+~P11(x2483,x2482)+~P11(x2481,x2483)+P11(x2481,x2482)+~P7(x2483)
% 0.53/0.80 [249]~P7(x2492)+~P7(x2491)+~P11(x2491,x2493)+~P14(x2493,x2492)+P14(x2491,x2492)+~P7(x2493)
% 0.53/0.80 [250]~P7(x2502)+~P7(x2501)+~P14(x2503,x2502)+~P14(x2501,x2503)+P14(x2501,x2502)+~P7(x2503)
% 0.53/0.80 [251]~P7(x2512)+~P7(x2511)+~P12(x2513,x2512)+~P12(x2511,x2513)+P12(x2511,x2512)+~P7(x2513)
% 0.53/0.80 [263]~P6(x2633)+~P7(x2632)+~P7(x2631)+E(x2631,x2632)+P13(x2633,x2632)+~P13(f6(x2631,x2633),x2632)
% 0.53/0.80 [266]~P6(x2661)+~P6(x2663)+~P7(x2662)+P13(x2661,x2662)+P13(x2663,x2662)+~P13(f5(x2663,x2661),x2662)
% 0.53/0.80 [240]~P6(x2402)+~P6(x2401)+~P7(x2404)+~P7(x2403)+E(x2401,x2402)+~E(f6(x2403,x2401),f6(x2404,x2402))
% 0.53/0.80 [241]~P6(x2414)+~P6(x2413)+~P7(x2412)+~P7(x2411)+E(x2411,x2412)+~E(f6(x2411,x2413),f6(x2412,x2414))
% 0.53/0.80 [268]~P7(x2682)+~P7(x2681)+E(x2681,x2682)+~P6(x2683)+~P6(x2684)+~P9(f6(x2681,x2684),f6(x2682,x2683))
% 0.53/0.80 [270]~P6(x2702)+~P6(x2701)+P9(x2701,x2702)+~P7(x2703)+~P7(x2704)+~P9(f6(x2704,x2701),f6(x2703,x2702))
% 0.53/0.80 [264]~P6(x2641)+~P6(x2644)+~P6(x2643)+~P7(x2642)+P13(x2641,x2642)+~E(f5(x2643,f6(x2642,x2644)),x2641)
% 0.53/0.80 [265]~P6(x2651)+~P6(x2654)+~P6(x2652)+~P6(x2653)+P16(x2651,x2652)+~E(f5(f5(x2653,x2652),x2654),x2651)
% 0.53/0.80 [269]~P6(x2691)+~P6(x2693)+~P6(x2694)+~P6(x2692)+~P16(x2692,x2694)+P16(f5(f5(x2691,x2692),x2693),x2694)
% 0.53/0.80 [206]~P6(x2062)+~P6(x2061)+E(x2061,x2062)+E(a3,x2062)+E(a3,x2061)+~E(f54(x2061),f54(x2062))+~E(f4(x2061),f4(x2062))
% 0.53/0.80 [267]~E(x2671,x2673)+~P6(x2674)+~P6(x2672)+~P7(x2673)+~P7(x2671)+~P9(x2672,x2674)+P9(f6(x2671,x2672),f6(x2673,x2674))
% 0.53/0.80 [281]~P2(x2815)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P6(x2811)+~P7(x2812)+~E(f5(f5(x2811,f6(x2812,x2813)),f6(x2812,x2814)),x2815)
% 0.53/0.80 [274]~P1(x2745)+~P6(x2745)+~P6(x2744)+~P6(x2743)+~P7(x2742)+~P7(x2741)+E(x2741,x2742)+~E(f5(x2743,f6(x2741,f6(x2742,x2744))),x2745)
% 0.53/0.80 [282]~P18(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2822)+~P7(x2821)+P11(x2821,x2822)+~E(f5(f5(x2823,f6(x2821,x2824)),f6(x2822,x2825)),x2826)
% 0.53/0.80 [283]~P4(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2834)+~P6(x2833)+~P7(x2832)+~P7(x2831)+P14(x2831,x2832)+~E(f5(f5(x2833,f6(x2831,x2834)),f6(x2832,x2835)),x2836)
% 0.53/0.80 [284]P11(x2842,x2841)+~P19(x2846)+~P6(x2846)+~P6(x2845)+~P6(x2844)+~P6(x2843)+~P7(x2841)+~P7(x2842)+P11(x2841,x2842)+~E(f5(f5(x2843,f6(x2842,x2844)),f6(x2841,x2845)),x2846)
% 0.53/0.80 [285]P14(x2852,x2851)+~P5(x2856)+~P6(x2856)+~P6(x2855)+~P6(x2854)+~P6(x2853)+~P7(x2851)+~P7(x2852)+P14(x2851,x2852)+~E(f5(f5(x2853,f6(x2852,x2854)),f6(x2851,x2855)),x2856)
% 0.53/0.80 [286]~P3(x2866)+~P6(x2866)+~P6(x2865)+~P6(x2863)+~P6(x2861)+~P7(x2864)+~P7(x2862)+~P11(x2864,x2862)+~P11(x2862,x2864)+~E(f5(f5(x2861,f6(x2862,x2863)),f6(x2864,x2865)),x2866)
% 0.53/0.80 %EqnAxiom
% 0.53/0.80 [1]E(x11,x11)
% 0.53/0.80 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.80 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.80 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.53/0.80 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.53/0.80 [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 0.53/0.80 [7]~E(x71,x72)+E(f15(x71),f15(x72))
% 0.53/0.80 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 0.53/0.80 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 0.53/0.80 [10]~E(x101,x102)+E(f18(x101),f18(x102))
% 0.53/0.80 [11]~E(x111,x112)+E(f19(x111),f19(x112))
% 0.53/0.80 [12]~E(x121,x122)+E(f20(x121),f20(x122))
% 0.53/0.80 [13]~E(x131,x132)+E(f21(x131),f21(x132))
% 0.53/0.80 [14]~E(x141,x142)+E(f22(x141),f22(x142))
% 0.53/0.80 [15]~E(x151,x152)+E(f23(x151),f23(x152))
% 0.53/0.80 [16]~E(x161,x162)+E(f24(x161),f24(x162))
% 0.53/0.80 [17]~E(x171,x172)+E(f25(x171),f25(x172))
% 0.53/0.80 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 0.53/0.80 [19]~E(x191,x192)+E(f27(x191),f27(x192))
% 0.53/0.80 [20]~E(x201,x202)+E(f28(x201),f28(x202))
% 0.53/0.80 [21]~E(x211,x212)+E(f29(x211),f29(x212))
% 0.53/0.80 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 0.53/0.80 [23]~E(x231,x232)+E(f31(x231),f31(x232))
% 0.53/0.80 [24]~E(x241,x242)+E(f32(x241),f32(x242))
% 0.53/0.80 [25]~E(x251,x252)+E(f53(x251),f53(x252))
% 0.53/0.80 [26]~E(x261,x262)+E(f51(x261),f51(x262))
% 0.53/0.80 [27]~E(x271,x272)+E(f52(x271),f52(x272))
% 0.53/0.80 [28]~E(x281,x282)+E(f50(x281),f50(x282))
% 0.53/0.80 [29]~E(x291,x292)+E(f48(x291),f48(x292))
% 0.53/0.80 [30]~E(x301,x302)+E(f49(x301),f49(x302))
% 0.53/0.80 [31]~E(x311,x312)+E(f46(x311),f46(x312))
% 0.53/0.80 [32]~E(x321,x322)+E(f47(x321),f47(x322))
% 0.53/0.80 [33]~E(x331,x332)+E(f44(x331),f44(x332))
% 0.53/0.80 [34]~E(x341,x342)+E(f45(x341),f45(x342))
% 0.53/0.80 [35]~E(x351,x352)+E(f42(x351),f42(x352))
% 0.53/0.80 [36]~E(x361,x362)+E(f43(x361),f43(x362))
% 0.53/0.80 [37]~E(x371,x372)+E(f33(x371),f33(x372))
% 0.53/0.80 [38]~E(x381,x382)+E(f34(x381),f34(x382))
% 0.53/0.80 [39]~E(x391,x392)+E(f35(x391),f35(x392))
% 0.53/0.80 [40]~E(x401,x402)+E(f38(x401,x403),f38(x402,x403))
% 0.53/0.80 [41]~E(x411,x412)+E(f38(x413,x411),f38(x413,x412))
% 0.53/0.80 [42]~E(x421,x422)+E(f39(x421,x423),f39(x422,x423))
% 0.53/0.80 [43]~E(x431,x432)+E(f39(x433,x431),f39(x433,x432))
% 0.53/0.80 [44]~E(x441,x442)+E(f40(x441,x443),f40(x442,x443))
% 0.53/0.80 [45]~E(x451,x452)+E(f40(x453,x451),f40(x453,x452))
% 0.53/0.80 [46]~E(x461,x462)+E(f41(x461,x463),f41(x462,x463))
% 0.53/0.80 [47]~E(x471,x472)+E(f41(x473,x471),f41(x473,x472))
% 0.53/0.80 [48]~E(x481,x482)+E(f36(x481,x483),f36(x482,x483))
% 0.53/0.80 [49]~E(x491,x492)+E(f36(x493,x491),f36(x493,x492))
% 0.53/0.80 [50]~E(x501,x502)+E(f37(x501,x503),f37(x502,x503))
% 0.53/0.80 [51]~E(x511,x512)+E(f37(x513,x511),f37(x513,x512))
% 0.53/0.80 [52]~E(x521,x522)+E(f54(x521),f54(x522))
% 0.53/0.80 [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 0.53/0.80 [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 0.53/0.80 [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 0.53/0.80 [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 0.53/0.80 [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 0.53/0.80 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.53/0.80 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.53/0.80 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.53/0.80 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.53/0.80 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.53/0.80 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.53/0.80 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.53/0.80 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.53/0.80 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.53/0.80 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 0.53/0.80 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 0.53/0.80 [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 0.53/0.80 [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 0.53/0.80 [71]~P15(x711)+P15(x712)+~E(x711,x712)
% 0.53/0.80 [72]P13(x722,x723)+~E(x721,x722)+~P13(x721,x723)
% 0.53/0.80 [73]P13(x733,x732)+~E(x731,x732)+~P13(x733,x731)
% 0.53/0.80 [74]P12(x742,x743)+~E(x741,x742)+~P12(x741,x743)
% 0.53/0.80 [75]P12(x753,x752)+~E(x751,x752)+~P12(x753,x751)
% 0.53/0.80 [76]P17(x762,x763)+~E(x761,x762)+~P17(x761,x763)
% 0.53/0.80 [77]P17(x773,x772)+~E(x771,x772)+~P17(x773,x771)
% 0.53/0.80 [78]P10(x782,x783)+~E(x781,x782)+~P10(x781,x783)
% 0.53/0.80 [79]P10(x793,x792)+~E(x791,x792)+~P10(x793,x791)
% 0.53/0.80 [80]P9(x802,x803)+~E(x801,x802)+~P9(x801,x803)
% 0.53/0.80 [81]P9(x813,x812)+~E(x811,x812)+~P9(x813,x811)
% 0.53/0.80 [82]P8(x822,x823)+~E(x821,x822)+~P8(x821,x823)
% 0.53/0.80 [83]P8(x833,x832)+~E(x831,x832)+~P8(x833,x831)
% 0.53/0.80 [84]P16(x842,x843)+~E(x841,x842)+~P16(x841,x843)
% 0.53/0.80 [85]P16(x853,x852)+~E(x851,x852)+~P16(x853,x851)
% 0.53/0.80
% 0.53/0.80 %-------------------------------------------
% 0.53/0.80 cnf(291,plain,
% 0.53/0.80 (~P8(x2911,x2911)+~P6(x2911)+~P6(x2911)),
% 0.53/0.80 inference(equality_inference,[],[199])).
% 0.53/0.80 cnf(293,plain,
% 0.53/0.80 (~P8(x2931,x2931)+~P7(x2931)+~P7(x2931)),
% 0.53/0.80 inference(equality_inference,[],[201])).
% 0.53/0.80 cnf(320,plain,
% 0.53/0.80 (P8(a8,a3)),
% 0.53/0.80 inference(scs_inference,[],[86,87,96,138,100,2,178,291,293,82])).
% 0.53/0.80 cnf(347,plain,
% 0.53/0.80 (E(a8,a7)),
% 0.53/0.80 inference(scs_inference,[],[87,101,178,2])).
% 0.53/0.80 cnf(400,plain,
% 0.53/0.80 (~E(a3,a8)),
% 0.53/0.80 inference(scs_inference,[],[99,320,123,178,291,293,83])).
% 0.53/0.80 cnf(408,plain,
% 0.53/0.80 (P6(a11)),
% 0.53/0.80 inference(scs_inference,[],[400,148])).
% 0.53/0.80 cnf(409,plain,
% 0.53/0.80 (P9(a1,a11)),
% 0.53/0.80 inference(scs_inference,[],[400,152])).
% 0.53/0.80 cnf(410,plain,
% 0.53/0.80 (P9(a8,a11)),
% 0.53/0.80 inference(scs_inference,[],[400,153])).
% 0.53/0.80 cnf(411,plain,
% 0.53/0.80 (P8(a11,a3)),
% 0.53/0.80 inference(scs_inference,[],[400,154])).
% 0.53/0.80 cnf(432,plain,
% 0.53/0.80 (~P9(a7,a11)),
% 0.53/0.80 inference(scs_inference,[],[86,409,411,408,125,178,291,80,293,83,237])).
% 0.53/0.80 cnf(450,plain,
% 0.53/0.80 ($false),
% 0.53/0.80 inference(scs_inference,[],[410,432,347,102,126,178,291,293,80]),
% 0.53/0.80 ['proof']).
% 0.53/0.80 % SZS output end Proof
% 0.53/0.80 % Total time :0.140000s
%------------------------------------------------------------------------------