%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC189-1 : 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 : n032.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 16:14:25 EDT 2024
% Result : Unsatisfiable 0.51s 0.80s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC189-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32 % Computer : n032.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Jun 20 06:02:08 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.50/0.57 start to proof:theBenchmark
% 0.51/0.79 %-------------------------------------------
% 0.51/0.79 % File :CSE---1.7
% 0.51/0.79 % Problem :theBenchmark
% 0.51/0.79 % Transform :cnf
% 0.51/0.79 % Format :tptp:raw
% 0.51/0.79 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.79
% 0.51/0.79 % Result :Theorem 0.140000s
% 0.51/0.79 % Output :CNFRefutation 0.140000s
% 0.51/0.79 %-------------------------------------------
% 0.51/0.80 %--------------------------------------------------------------------------
% 0.51/0.80 % File : SWC189-1 : TPTP v8.2.0. Released v2.4.0.
% 0.51/0.80 % Domain : Software Creation
% 0.51/0.80 % Problem : cond_pst_equal1_x_pst_equal1
% 0.51/0.80 % Version : [Wei00] axioms.
% 0.51/0.80 % English : Find components in a software library that match a given target
% 0.51/0.80 % specification given in first-order logic. The components are
% 0.51/0.80 % specified in first-order logic as well. The problem represents
% 0.51/0.80 % a test of one library module specification against a target
% 0.51/0.80 % specification.
% 0.51/0.80
% 0.51/0.80 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.51/0.80 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.51/0.80 % Source : [TPTP]
% 0.51/0.80 % Names :
% 0.51/0.80
% 0.51/0.80 % Status : Unsatisfiable
% 0.51/0.80 % Rating : 0.20 v8.2.0, 0.19 v8.1.0, 0.21 v7.4.0, 0.29 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.43 v6.0.0, 0.30 v5.5.0, 0.50 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.43 v4.1.0, 0.46 v4.0.1, 0.36 v4.0.0, 0.45 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.50 v3.3.0, 0.36 v3.2.0, 0.31 v3.1.0, 0.36 v2.7.0, 0.42 v2.6.0, 0.22 v2.5.0, 0.33 v2.4.0
% 0.51/0.80 % Syntax : Number of clauses : 198 ( 66 unt; 33 nHn; 155 RR)
% 0.51/0.80 % Number of literals : 622 ( 104 equ; 404 neg)
% 0.51/0.80 % Maximal clause size : 10 ( 3 avg)
% 0.51/0.80 % Maximal term depth : 5 ( 1 avg)
% 0.51/0.80 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.51/0.80 % Number of functors : 57 ( 57 usr; 11 con; 0-2 aty)
% 0.51/0.80 % Number of variables : 330 ( 49 sgn)
% 0.51/0.80 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.51/0.80
% 0.51/0.80 % Comments : Created by CNF conversion from SWC189+1
% 0.51/0.80 %--------------------------------------------------------------------------
% 0.51/0.80 %----Include list specification axioms
% 0.51/0.80 include('Axioms/SWC001-0.ax').
% 0.51/0.80 %--------------------------------------------------------------------------
% 0.51/0.80 cnf(co1_1,negated_conjecture,
% 0.51/0.80 ssList(sk1) ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_2,negated_conjecture,
% 0.51/0.80 ssList(sk2) ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_3,negated_conjecture,
% 0.51/0.80 ssList(sk3) ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_4,negated_conjecture,
% 0.51/0.80 ssList(sk4) ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_5,negated_conjecture,
% 0.51/0.80 sk2 = sk4 ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_6,negated_conjecture,
% 0.51/0.80 sk1 = sk3 ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_7,negated_conjecture,
% 0.51/0.80 ( ~ ssItem(A)
% 0.51/0.80 | ~ ssItem(B)
% 0.51/0.80 | ~ ssList(C)
% 0.51/0.80 | ~ ssList(D)
% 0.51/0.80 | A = B
% 0.51/0.80 | app(app(app(C,cons(A,nil)),cons(B,nil)),D) != sk3 ) ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_8,negated_conjecture,
% 0.51/0.80 ssItem(sk5) ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_9,negated_conjecture,
% 0.51/0.80 ssItem(sk6) ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_10,negated_conjecture,
% 0.51/0.80 ssList(sk7) ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_11,negated_conjecture,
% 0.51/0.80 ssList(sk8) ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_12,negated_conjecture,
% 0.51/0.80 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1 ).
% 0.51/0.80
% 0.51/0.80 cnf(co1_13,negated_conjecture,
% 0.51/0.80 sk5 != sk6 ).
% 0.51/0.80
% 0.51/0.80 %--------------------------------------------------------------------------
% 0.51/0.80 %-------------------------------------------
% 0.51/0.80 % Proof found
% 0.51/0.80 % SZS status Theorem for theBenchmark
% 0.51/0.80 % SZS output start Proof
% 0.51/0.80 %ClaNum:283(EqnAxiom:85)
% 0.51/0.80 %VarNum:901(SingletonVarNum:326)
% 0.51/0.80 %MaxLitNum:10
% 0.51/0.80 %MaxfuncDepth:4
% 0.51/0.80 %SharedTerms:40
% 0.51/0.80 %goalClause: 86 87 96 97 98 99 100 101 104 105 148 150 283
% 0.51/0.80 %singleGoalClaCount:12
% 0.51/0.80 [86]E(a1,a2)
% 0.51/0.80 [87]E(a7,a8)
% 0.51/0.80 [88]P1(a3)
% 0.51/0.80 [89]P2(a3)
% 0.51/0.80 [90]P4(a3)
% 0.51/0.80 [91]P18(a3)
% 0.51/0.80 [92]P5(a3)
% 0.51/0.80 [93]P19(a3)
% 0.51/0.80 [94]P3(a3)
% 0.51/0.80 [95]P6(a3)
% 0.51/0.80 [96]P6(a2)
% 0.51/0.80 [97]P6(a7)
% 0.51/0.81 [98]P6(a1)
% 0.51/0.81 [99]P6(a8)
% 0.51/0.81 [100]P6(a9)
% 0.51/0.81 [101]P6(a12)
% 0.51/0.81 [102]P7(a13)
% 0.51/0.81 [103]P7(a14)
% 0.51/0.81 [104]P7(a10)
% 0.51/0.81 [105]P7(a11)
% 0.51/0.81 [149]~E(a14,a13)
% 0.51/0.81 [150]~E(a11,a10)
% 0.51/0.81 [151]~P8(a3)
% 0.51/0.81 [148]E(f5(f5(f5(a9,f4(a10,a3)),f4(a11,a3)),a12),a2)
% 0.51/0.81 [106]P6(f15(x1061))
% 0.51/0.81 [107]P6(f16(x1071))
% 0.51/0.81 [108]P6(f17(x1081))
% 0.51/0.81 [109]P6(f18(x1091))
% 0.51/0.81 [110]P6(f19(x1101))
% 0.51/0.81 [111]P6(f20(x1111))
% 0.51/0.81 [112]P6(f21(x1121))
% 0.51/0.81 [113]P6(f22(x1131))
% 0.51/0.81 [114]P6(f23(x1141))
% 0.51/0.81 [115]P6(f24(x1151))
% 0.51/0.81 [116]P6(f25(x1161))
% 0.51/0.81 [117]P6(f26(x1171))
% 0.51/0.81 [118]P6(f27(x1181))
% 0.51/0.81 [119]P6(f28(x1191))
% 0.51/0.81 [120]P6(f29(x1201))
% 0.51/0.81 [121]P6(f30(x1211))
% 0.51/0.81 [122]P6(f31(x1221))
% 0.51/0.81 [123]P6(f32(x1231))
% 0.51/0.81 [124]P6(f33(x1241))
% 0.51/0.81 [125]P6(f34(x1251))
% 0.51/0.81 [126]P6(f35(x1261))
% 0.51/0.81 [127]P7(f56(x1271))
% 0.51/0.81 [128]P7(f54(x1281))
% 0.51/0.81 [129]P7(f55(x1291))
% 0.51/0.81 [130]P7(f53(x1301))
% 0.51/0.81 [131]P7(f51(x1311))
% 0.51/0.81 [132]P7(f52(x1321))
% 0.51/0.81 [133]P7(f49(x1331))
% 0.51/0.81 [134]P7(f50(x1341))
% 0.51/0.81 [135]P7(f47(x1351))
% 0.51/0.81 [136]P7(f48(x1361))
% 0.51/0.81 [137]P7(f45(x1371))
% 0.51/0.81 [138]P7(f46(x1381))
% 0.51/0.81 [139]P7(f36(x1391))
% 0.51/0.81 [140]P7(f37(x1401))
% 0.51/0.81 [141]P7(f38(x1411))
% 0.51/0.81 [142]P6(f41(x1421,x1422))
% 0.51/0.81 [143]P6(f42(x1431,x1432))
% 0.51/0.81 [144]P6(f43(x1441,x1442))
% 0.51/0.81 [145]P6(f44(x1451,x1452))
% 0.51/0.81 [146]P6(f39(x1461,x1462))
% 0.51/0.81 [147]P6(f40(x1471,x1472))
% 0.51/0.81 [157]~P6(x1571)+P9(x1571,a3)
% 0.51/0.81 [158]~P6(x1581)+P10(x1581,a3)
% 0.51/0.81 [159]~P6(x1591)+P11(x1591,a3)
% 0.51/0.81 [162]~P7(x1621)+P12(x1621,x1621)
% 0.51/0.81 [163]~P6(x1631)+P9(x1631,x1631)
% 0.51/0.81 [164]~P6(x1641)+P10(x1641,x1641)
% 0.51/0.81 [165]~P6(x1651)+P11(x1651,x1651)
% 0.51/0.81 [166]~P7(x1661)+P13(x1661,x1661)
% 0.51/0.81 [171]~P7(x1711)+~P15(a3,x1711)
% 0.51/0.81 [175]~P16(x1751,x1751)+~P7(x1751)
% 0.51/0.81 [160]~P6(x1601)+E(f5(x1601,a3),x1601)
% 0.51/0.81 [161]~P6(x1611)+E(f5(a3,x1611),x1611)
% 0.51/0.81 [180]~P7(x1801)+P1(f4(x1801,a3))
% 0.51/0.81 [181]~P7(x1811)+P2(f4(x1811,a3))
% 0.51/0.81 [182]~P7(x1821)+P4(f4(x1821,a3))
% 0.51/0.81 [183]~P7(x1831)+P18(f4(x1831,a3))
% 0.51/0.81 [184]~P7(x1841)+P5(f4(x1841,a3))
% 0.51/0.81 [185]~P7(x1851)+P19(f4(x1851,a3))
% 0.51/0.81 [186]~P7(x1861)+P3(f4(x1861,a3))
% 0.51/0.81 [167]~P6(x1671)+~E(a3,x1671)+P9(a3,x1671)
% 0.51/0.81 [168]~P6(x1681)+~E(a3,x1681)+P10(a3,x1681)
% 0.51/0.81 [169]~P6(x1691)+~E(a3,x1691)+P11(a3,x1691)
% 0.51/0.81 [172]~P6(x1721)+~P9(a3,x1721)+E(a3,x1721)
% 0.51/0.81 [173]~P6(x1731)+~P10(a3,x1731)+E(a3,x1731)
% 0.51/0.81 [174]~P6(x1741)+~P11(a3,x1741)+E(a3,x1741)
% 0.51/0.81 [154]~P6(x1541)+E(a3,x1541)+P6(f57(x1541))
% 0.51/0.81 [156]~P6(x1561)+E(a3,x1561)+P7(f6(x1561))
% 0.51/0.81 [170]~P6(x1701)+P1(x1701)+~E(f55(x1701),f54(x1701))
% 0.51/0.81 [191]~P6(x1911)+P3(x1911)+P13(f36(x1911),f37(x1911))
% 0.51/0.81 [192]~P6(x1921)+P3(x1921)+P13(f37(x1921),f36(x1921))
% 0.51/0.81 [212]~P6(x2121)+P4(x2121)+~P16(f52(x2121),f51(x2121))
% 0.51/0.81 [213]~P6(x2131)+P18(x2131)+~P13(f50(x2131),f49(x2131))
% 0.51/0.81 [214]~P6(x2141)+P5(x2141)+~P16(f47(x2141),f48(x2141))
% 0.51/0.81 [215]~P6(x2151)+P5(x2151)+~P16(f48(x2151),f47(x2151))
% 0.51/0.81 [216]~P6(x2161)+P19(x2161)+~P13(f45(x2161),f46(x2161))
% 0.51/0.81 [217]~P6(x2171)+P19(x2171)+~P13(f46(x2171),f45(x2171))
% 0.51/0.81 [179]~P6(x1791)+~P8(x1791)+E(f4(f38(x1791),a3),x1791)
% 0.51/0.81 [187]~P6(x1871)+E(a3,x1871)+E(f4(f56(x1871),f15(x1871)),x1871)
% 0.51/0.81 [188]~P6(x1881)+E(a3,x1881)+E(f4(f6(x1881),f57(x1881)),x1881)
% 0.51/0.81 [271]P2(x2711)+~P6(x2711)+E(f5(f5(f20(x2711),f4(f53(x2711),f19(x2711))),f4(f53(x2711),f18(x2711))),x2711)
% 0.51/0.81 [272]P4(x2721)+~P6(x2721)+E(f5(f5(f23(x2721),f4(f52(x2721),f22(x2721))),f4(f51(x2721),f21(x2721))),x2721)
% 0.51/0.81 [273]P18(x2731)+~P6(x2731)+E(f5(f5(f26(x2731),f4(f50(x2731),f25(x2731))),f4(f49(x2731),f24(x2731))),x2731)
% 0.51/0.81 [274]P5(x2741)+~P6(x2741)+E(f5(f5(f29(x2741),f4(f48(x2741),f28(x2741))),f4(f47(x2741),f27(x2741))),x2741)
% 0.51/0.81 [275]P19(x2751)+~P6(x2751)+E(f5(f5(f32(x2751),f4(f46(x2751),f31(x2751))),f4(f45(x2751),f30(x2751))),x2751)
% 0.51/0.81 [276]P3(x2761)+~P6(x2761)+E(f5(f5(f35(x2761),f4(f37(x2761),f34(x2761))),f4(f36(x2761),f33(x2761))),x2761)
% 0.51/0.81 [269]P1(x2691)+~P6(x2691)+E(f5(f17(x2691),f4(f55(x2691),f4(f54(x2691),f16(x2691)))),x2691)
% 0.51/0.81 [152]~P6(x1521)+P2(x1521)+P7(x1522)
% 0.51/0.81 [189]~P6(x1892)+~P7(x1891)+~E(f4(x1891,x1892),a3)
% 0.51/0.81 [190]~P6(x1902)+~P7(x1901)+~E(f4(x1901,x1902),x1902)
% 0.51/0.81 [199]~P6(x1992)+~P7(x1991)+P6(f4(x1991,x1992))
% 0.51/0.81 [200]~P6(x2001)+~P6(x2002)+P6(f5(x2001,x2002))
% 0.51/0.81 [201]~P6(x2012)+~P7(x2011)+E(f57(f4(x2011,x2012)),x2012)
% 0.51/0.81 [202]~P6(x2022)+~P7(x2021)+E(f6(f4(x2021,x2022)),x2021)
% 0.51/0.81 [229]~P6(x2292)+~P7(x2291)+E(f5(f4(x2291,a3),x2292),f4(x2291,x2292))
% 0.51/0.81 [176]P17(x1762,x1761)+~P6(x1762)+~P6(x1761)+E(x1761,x1762)
% 0.51/0.81 [177]P17(x1772,x1771)+~P7(x1772)+~P7(x1771)+E(x1771,x1772)
% 0.51/0.81 [196]~P6(x1962)+~P6(x1961)+~P17(x1961,x1962)+~E(x1961,x1962)
% 0.51/0.81 [197]~P7(x1972)+~P7(x1971)+~P16(x1971,x1972)+~E(x1971,x1972)
% 0.51/0.81 [198]~P7(x1982)+~P7(x1981)+~P17(x1981,x1982)+~E(x1981,x1982)
% 0.51/0.81 [207]~P7(x2071)+~P7(x2072)+~P13(x2072,x2071)+P12(x2071,x2072)
% 0.51/0.81 [208]~P7(x2081)+~P7(x2082)+~P12(x2082,x2081)+P13(x2081,x2082)
% 0.51/0.81 [209]~P7(x2092)+~P7(x2091)+~P16(x2091,x2092)+P13(x2091,x2092)
% 0.51/0.81 [210]~P7(x2101)+~P7(x2102)+~P14(x2102,x2101)+P16(x2101,x2102)
% 0.51/0.81 [211]~P7(x2111)+~P7(x2112)+~P16(x2112,x2111)+P14(x2111,x2112)
% 0.51/0.81 [220]~P16(x2201,x2202)+~P16(x2202,x2201)+~P7(x2201)+~P7(x2202)
% 0.51/0.81 [221]~P14(x2211,x2212)+~P14(x2212,x2211)+~P7(x2211)+~P7(x2212)
% 0.51/0.81 [193]~P6(x1931)+~P6(x1932)+E(a3,x1931)+~E(f5(x1932,x1931),a3)
% 0.51/0.81 [194]~P6(x1942)+~P6(x1941)+E(a3,x1941)+~E(f5(x1941,x1942),a3)
% 0.51/0.81 [195]~P6(x1951)+~P7(x1952)+P8(x1951)+~E(f4(x1952,a3),x1951)
% 0.51/0.81 [204]~P6(x2042)+~P7(x2041)+~E(a3,x2042)+P4(f4(x2041,x2042))
% 0.51/0.81 [205]~P6(x2052)+~P7(x2051)+~E(a3,x2052)+P18(f4(x2051,x2052))
% 0.51/0.81 [206]~P6(x2061)+~P6(x2062)+E(a3,x2061)+E(f6(f5(x2061,x2062)),f6(x2061))
% 0.51/0.81 [231]~P6(x2311)+~P6(x2312)+E(a3,x2311)+E(f57(f5(x2311,x2312)),f5(f57(x2311),x2312))
% 0.51/0.81 [238]~P6(x2381)+~P6(x2382)+~P11(x2382,x2381)+E(f5(x2381,f44(x2382,x2381)),x2382)
% 0.51/0.81 [239]~P6(x2392)+~P6(x2391)+~P10(x2391,x2392)+E(f5(f43(x2391,x2392),x2392),x2391)
% 0.51/0.81 [268]~P6(x2682)+~P6(x2681)+~P9(x2681,x2682)+E(f5(f5(f42(x2681,x2682),x2682),f41(x2682,x2681)),x2681)
% 0.51/0.81 [267]~P6(x2671)+~P7(x2672)+~P15(x2671,x2672)+E(f5(f40(x2671,x2672),f4(x2672,f39(x2672,x2671))),x2671)
% 0.51/0.81 [257]~P6(x2573)+~P6(x2572)+~P7(x2571)+E(f5(f4(x2571,x2572),x2573),f4(x2571,f5(x2572,x2573)))
% 0.51/0.81 [258]~P6(x2581)+~P6(x2582)+~P6(x2583)+E(f5(f5(x2581,x2582),x2583),f5(x2581,f5(x2582,x2583)))
% 0.51/0.81 [219]P16(x2191,x2192)+~P7(x2192)+~P7(x2191)+~P13(x2191,x2192)+E(x2191,x2192)
% 0.51/0.81 [224]~P6(x2242)+~P6(x2241)+~P9(x2242,x2241)+~P9(x2241,x2242)+E(x2241,x2242)
% 0.51/0.81 [225]~P6(x2252)+~P6(x2251)+~P10(x2252,x2251)+~P10(x2251,x2252)+E(x2251,x2252)
% 0.51/0.81 [226]~P6(x2262)+~P6(x2261)+~P11(x2262,x2261)+~P11(x2261,x2262)+E(x2261,x2262)
% 0.51/0.81 [227]~P7(x2272)+~P7(x2271)+~P12(x2272,x2271)+~P12(x2271,x2272)+E(x2271,x2272)
% 0.51/0.81 [228]~P7(x2282)+~P7(x2281)+~P13(x2282,x2281)+~P13(x2281,x2282)+E(x2281,x2282)
% 0.51/0.81 [178]~P6(x1782)+~P6(x1781)+~E(a3,x1782)+~E(a3,x1781)+E(f5(x1781,x1782),a3)
% 0.51/0.81 [234]P4(x2341)+~P6(x2341)+~P7(x2342)+E(a3,x2341)+~P4(f4(x2342,x2341))
% 0.51/0.81 [235]P18(x2351)+~P6(x2351)+~P7(x2352)+E(a3,x2351)+~P18(f4(x2352,x2351))
% 0.51/0.81 [248]~P6(x2481)+~P7(x2482)+E(a3,x2481)+P13(x2482,f6(x2481))+~P18(f4(x2482,x2481))
% 0.51/0.81 [249]~P6(x2491)+~P7(x2492)+E(a3,x2491)+P16(x2492,f6(x2491))+~P4(f4(x2492,x2491))
% 0.51/0.81 [222]~P6(x2221)+~P6(x2222)+~P6(x2223)+P10(x2221,x2222)+~E(f5(x2223,x2222),x2221)
% 0.51/0.81 [223]~P6(x2231)+~P6(x2233)+~P6(x2232)+P11(x2231,x2232)+~E(f5(x2232,x2233),x2231)
% 0.51/0.81 [230]~E(x2303,x2301)+~P6(x2302)+~P7(x2301)+~P7(x2303)+P15(f4(x2301,x2302),x2303)
% 0.51/0.81 [232]~P6(x2322)+~P6(x2321)+~P6(x2323)+E(x2321,x2322)+~E(f5(x2323,x2321),f5(x2323,x2322))
% 0.51/0.81 [233]~P6(x2332)+~P6(x2333)+~P6(x2331)+E(x2331,x2332)+~E(f5(x2331,x2333),f5(x2332,x2333))
% 0.51/0.81 [250]~P6(x2501)+~P6(x2503)+~P6(x2502)+~P10(x2502,x2503)+P10(f5(x2501,x2502),x2503)
% 0.51/0.81 [251]~P6(x2512)+~P6(x2513)+~P6(x2511)+~P11(x2511,x2513)+P11(f5(x2511,x2512),x2513)
% 0.51/0.81 [252]~P6(x2522)+~P7(x2521)+~P7(x2523)+~P15(x2522,x2523)+P15(f4(x2521,x2522),x2523)
% 0.51/0.81 [253]~P6(x2531)+~P6(x2532)+~P7(x2533)+~P15(x2532,x2533)+P15(f5(x2531,x2532),x2533)
% 0.51/0.81 [254]~P6(x2542)+~P6(x2541)+~P7(x2543)+~P15(x2541,x2543)+P15(f5(x2541,x2542),x2543)
% 0.51/0.81 [255]~P4(x2551)+~P6(x2551)+~P7(x2552)+~P16(x2552,f6(x2551))+E(a3,x2551)+P4(f4(x2552,x2551))
% 0.51/0.81 [256]~P18(x2561)+~P6(x2561)+~P7(x2562)+~P13(x2562,f6(x2561))+E(a3,x2561)+P18(f4(x2562,x2561))
% 0.51/0.81 [240]~P7(x2402)+~P7(x2401)+~P12(x2403,x2402)+~P12(x2401,x2403)+P12(x2401,x2402)+~P7(x2403)
% 0.51/0.81 [241]~P6(x2412)+~P6(x2411)+~P9(x2413,x2412)+~P9(x2411,x2413)+P9(x2411,x2412)+~P6(x2413)
% 0.51/0.81 [242]~P6(x2422)+~P6(x2421)+~P10(x2423,x2422)+~P10(x2421,x2423)+P10(x2421,x2422)+~P6(x2423)
% 0.51/0.81 [243]~P6(x2432)+~P6(x2431)+~P11(x2433,x2432)+~P11(x2431,x2433)+P11(x2431,x2432)+~P6(x2433)
% 0.51/0.81 [244]~P7(x2442)+~P7(x2441)+~P13(x2443,x2442)+~P13(x2441,x2443)+P13(x2441,x2442)+~P7(x2443)
% 0.51/0.81 [245]~P7(x2452)+~P7(x2451)+~P13(x2451,x2453)+~P16(x2453,x2452)+P16(x2451,x2452)+~P7(x2453)
% 0.51/0.81 [246]~P7(x2462)+~P7(x2461)+~P16(x2463,x2462)+~P16(x2461,x2463)+P16(x2461,x2462)+~P7(x2463)
% 0.51/0.81 [247]~P7(x2472)+~P7(x2471)+~P14(x2473,x2472)+~P14(x2471,x2473)+P14(x2471,x2472)+~P7(x2473)
% 0.51/0.81 [259]~P6(x2593)+~P7(x2592)+~P7(x2591)+E(x2591,x2592)+P15(x2593,x2592)+~P15(f4(x2591,x2593),x2592)
% 0.51/0.81 [262]~P6(x2621)+~P6(x2623)+~P7(x2622)+P15(x2621,x2622)+P15(x2623,x2622)+~P15(f5(x2623,x2621),x2622)
% 0.51/0.81 [236]~P6(x2362)+~P6(x2361)+~P7(x2364)+~P7(x2363)+E(x2361,x2362)+~E(f4(x2363,x2361),f4(x2364,x2362))
% 0.51/0.81 [237]~P6(x2374)+~P6(x2373)+~P7(x2372)+~P7(x2371)+E(x2371,x2372)+~E(f4(x2371,x2373),f4(x2372,x2374))
% 0.51/0.81 [264]~P7(x2642)+~P7(x2641)+E(x2641,x2642)+~P6(x2643)+~P6(x2644)+~P11(f4(x2641,x2644),f4(x2642,x2643))
% 0.51/0.81 [266]~P6(x2662)+~P6(x2661)+P11(x2661,x2662)+~P7(x2663)+~P7(x2664)+~P11(f4(x2664,x2661),f4(x2663,x2662))
% 0.51/0.81 [260]~P6(x2601)+~P6(x2604)+~P6(x2603)+~P7(x2602)+P15(x2601,x2602)+~E(f5(x2603,f4(x2602,x2604)),x2601)
% 0.51/0.81 [261]~P6(x2611)+~P6(x2614)+~P6(x2612)+~P6(x2613)+P9(x2611,x2612)+~E(f5(f5(x2613,x2612),x2614),x2611)
% 0.51/0.81 [265]~P6(x2651)+~P6(x2653)+~P6(x2654)+~P6(x2652)+~P9(x2652,x2654)+P9(f5(f5(x2651,x2652),x2653),x2654)
% 0.51/0.81 [283]~P6(x2834)+~P6(x2833)+~P7(x2832)+~P7(x2831)+E(x2831,x2832)+~E(f5(f5(f5(x2833,f4(x2831,a3)),f4(x2832,a3)),x2834),a1)
% 0.51/0.81 [203]~P6(x2032)+~P6(x2031)+E(x2031,x2032)+E(a3,x2032)+E(a3,x2031)+~E(f57(x2031),f57(x2032))+~E(f6(x2031),f6(x2032))
% 0.51/0.81 [263]~E(x2631,x2633)+~P6(x2634)+~P6(x2632)+~P7(x2633)+~P7(x2631)+~P11(x2632,x2634)+P11(f4(x2631,x2632),f4(x2633,x2634))
% 0.51/0.81 [277]~P2(x2775)+~P6(x2775)+~P6(x2774)+~P6(x2773)+~P6(x2771)+~P7(x2772)+~E(f5(f5(x2771,f4(x2772,x2773)),f4(x2772,x2774)),x2775)
% 0.51/0.81 [270]~P1(x2705)+~P6(x2705)+~P6(x2704)+~P6(x2703)+~P7(x2702)+~P7(x2701)+E(x2701,x2702)+~E(f5(x2703,f4(x2701,f4(x2702,x2704))),x2705)
% 0.51/0.81 [278]~P18(x2786)+~P6(x2786)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P7(x2782)+~P7(x2781)+P13(x2781,x2782)+~E(f5(f5(x2783,f4(x2781,x2784)),f4(x2782,x2785)),x2786)
% 0.51/0.81 [279]~P4(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2792)+~P7(x2791)+P16(x2791,x2792)+~E(f5(f5(x2793,f4(x2791,x2794)),f4(x2792,x2795)),x2796)
% 0.51/0.81 [280]P13(x2802,x2801)+~P19(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2801)+~P7(x2802)+P13(x2801,x2802)+~E(f5(f5(x2803,f4(x2802,x2804)),f4(x2801,x2805)),x2806)
% 0.51/0.81 [281]P16(x2812,x2811)+~P5(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2811)+~P7(x2812)+P16(x2811,x2812)+~E(f5(f5(x2813,f4(x2812,x2814)),f4(x2811,x2815)),x2816)
% 0.51/0.81 [282]~P3(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2823)+~P6(x2821)+~P7(x2824)+~P7(x2822)+~P13(x2824,x2822)+~P13(x2822,x2824)+~E(f5(f5(x2821,f4(x2822,x2823)),f4(x2824,x2825)),x2826)
% 0.51/0.81 %EqnAxiom
% 0.51/0.81 [1]E(x11,x11)
% 0.51/0.81 [2]E(x22,x21)+~E(x21,x22)
% 0.51/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.51/0.81 [4]~E(x41,x42)+E(f15(x41),f15(x42))
% 0.51/0.81 [5]~E(x51,x52)+E(f16(x51),f16(x52))
% 0.51/0.81 [6]~E(x61,x62)+E(f17(x61),f17(x62))
% 0.51/0.81 [7]~E(x71,x72)+E(f18(x71),f18(x72))
% 0.51/0.81 [8]~E(x81,x82)+E(f19(x81),f19(x82))
% 0.51/0.81 [9]~E(x91,x92)+E(f20(x91),f20(x92))
% 0.51/0.81 [10]~E(x101,x102)+E(f21(x101),f21(x102))
% 0.51/0.81 [11]~E(x111,x112)+E(f22(x111),f22(x112))
% 0.51/0.81 [12]~E(x121,x122)+E(f23(x121),f23(x122))
% 0.51/0.81 [13]~E(x131,x132)+E(f24(x131),f24(x132))
% 0.51/0.81 [14]~E(x141,x142)+E(f25(x141),f25(x142))
% 0.51/0.81 [15]~E(x151,x152)+E(f26(x151),f26(x152))
% 0.51/0.82 [16]~E(x161,x162)+E(f27(x161),f27(x162))
% 0.51/0.82 [17]~E(x171,x172)+E(f28(x171),f28(x172))
% 0.51/0.82 [18]~E(x181,x182)+E(f29(x181),f29(x182))
% 0.51/0.82 [19]~E(x191,x192)+E(f30(x191),f30(x192))
% 0.51/0.82 [20]~E(x201,x202)+E(f31(x201),f31(x202))
% 0.51/0.82 [21]~E(x211,x212)+E(f32(x211),f32(x212))
% 0.51/0.82 [22]~E(x221,x222)+E(f33(x221),f33(x222))
% 0.51/0.82 [23]~E(x231,x232)+E(f34(x231),f34(x232))
% 0.51/0.82 [24]~E(x241,x242)+E(f35(x241),f35(x242))
% 0.51/0.82 [25]~E(x251,x252)+E(f56(x251),f56(x252))
% 0.51/0.82 [26]~E(x261,x262)+E(f54(x261),f54(x262))
% 0.51/0.82 [27]~E(x271,x272)+E(f55(x271),f55(x272))
% 0.51/0.82 [28]~E(x281,x282)+E(f53(x281),f53(x282))
% 0.51/0.82 [29]~E(x291,x292)+E(f51(x291),f51(x292))
% 0.51/0.82 [30]~E(x301,x302)+E(f52(x301),f52(x302))
% 0.51/0.82 [31]~E(x311,x312)+E(f49(x311),f49(x312))
% 0.51/0.82 [32]~E(x321,x322)+E(f50(x321),f50(x322))
% 0.51/0.82 [33]~E(x331,x332)+E(f47(x331),f47(x332))
% 0.51/0.82 [34]~E(x341,x342)+E(f48(x341),f48(x342))
% 0.51/0.82 [35]~E(x351,x352)+E(f45(x351),f45(x352))
% 0.51/0.82 [36]~E(x361,x362)+E(f46(x361),f46(x362))
% 0.51/0.82 [37]~E(x371,x372)+E(f36(x371),f36(x372))
% 0.51/0.82 [38]~E(x381,x382)+E(f37(x381),f37(x382))
% 0.51/0.82 [39]~E(x391,x392)+E(f38(x391),f38(x392))
% 0.51/0.82 [40]~E(x401,x402)+E(f41(x401,x403),f41(x402,x403))
% 0.51/0.82 [41]~E(x411,x412)+E(f41(x413,x411),f41(x413,x412))
% 0.51/0.82 [42]~E(x421,x422)+E(f42(x421,x423),f42(x422,x423))
% 0.51/0.82 [43]~E(x431,x432)+E(f42(x433,x431),f42(x433,x432))
% 0.51/0.82 [44]~E(x441,x442)+E(f43(x441,x443),f43(x442,x443))
% 0.51/0.82 [45]~E(x451,x452)+E(f43(x453,x451),f43(x453,x452))
% 0.51/0.82 [46]~E(x461,x462)+E(f44(x461,x463),f44(x462,x463))
% 0.51/0.82 [47]~E(x471,x472)+E(f44(x473,x471),f44(x473,x472))
% 0.51/0.82 [48]~E(x481,x482)+E(f39(x481,x483),f39(x482,x483))
% 0.51/0.82 [49]~E(x491,x492)+E(f39(x493,x491),f39(x493,x492))
% 0.51/0.82 [50]~E(x501,x502)+E(f40(x501,x503),f40(x502,x503))
% 0.51/0.82 [51]~E(x511,x512)+E(f40(x513,x511),f40(x513,x512))
% 0.51/0.82 [52]~E(x521,x522)+E(f4(x521,x523),f4(x522,x523))
% 0.51/0.82 [53]~E(x531,x532)+E(f4(x533,x531),f4(x533,x532))
% 0.51/0.82 [54]~E(x541,x542)+E(f5(x541,x543),f5(x542,x543))
% 0.51/0.82 [55]~E(x551,x552)+E(f5(x553,x551),f5(x553,x552))
% 0.51/0.82 [56]~E(x561,x562)+E(f6(x561),f6(x562))
% 0.51/0.82 [57]~E(x571,x572)+E(f57(x571),f57(x572))
% 0.51/0.82 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.51/0.82 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.51/0.82 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.51/0.82 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.51/0.82 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.51/0.82 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.51/0.82 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.51/0.82 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.51/0.82 [66]P13(x662,x663)+~E(x661,x662)+~P13(x661,x663)
% 0.51/0.82 [67]P13(x673,x672)+~E(x671,x672)+~P13(x673,x671)
% 0.51/0.82 [68]~P7(x681)+P7(x682)+~E(x681,x682)
% 0.51/0.82 [69]P11(x692,x693)+~E(x691,x692)+~P11(x691,x693)
% 0.51/0.82 [70]P11(x703,x702)+~E(x701,x702)+~P11(x703,x701)
% 0.51/0.82 [71]P12(x712,x713)+~E(x711,x712)+~P12(x711,x713)
% 0.51/0.82 [72]P12(x723,x722)+~E(x721,x722)+~P12(x723,x721)
% 0.51/0.82 [73]P10(x732,x733)+~E(x731,x732)+~P10(x731,x733)
% 0.51/0.82 [74]P10(x743,x742)+~E(x741,x742)+~P10(x743,x741)
% 0.51/0.82 [75]P14(x752,x753)+~E(x751,x752)+~P14(x751,x753)
% 0.51/0.82 [76]P14(x763,x762)+~E(x761,x762)+~P14(x763,x761)
% 0.51/0.82 [77]P9(x772,x773)+~E(x771,x772)+~P9(x771,x773)
% 0.51/0.82 [78]P9(x783,x782)+~E(x781,x782)+~P9(x783,x781)
% 0.51/0.82 [79]P16(x792,x793)+~E(x791,x792)+~P16(x791,x793)
% 0.51/0.82 [80]P16(x803,x802)+~E(x801,x802)+~P16(x803,x801)
% 0.51/0.82 [81]P15(x812,x813)+~E(x811,x812)+~P15(x811,x813)
% 0.51/0.82 [82]P15(x823,x822)+~E(x821,x822)+~P15(x823,x821)
% 0.51/0.82 [83]~P8(x831)+P8(x832)+~E(x831,x832)
% 0.51/0.82 [84]P17(x842,x843)+~E(x841,x842)+~P17(x841,x843)
% 0.51/0.82 [85]P17(x853,x852)+~E(x851,x852)+~P17(x853,x851)
% 0.51/0.82
% 0.51/0.82 %-------------------------------------------
% 0.51/0.82 cnf(288,plain,
% 0.51/0.82 (~P17(x2881,x2881)+~P6(x2881)+~P6(x2881)),
% 0.51/0.82 inference(equality_inference,[],[196])).
% 0.51/0.82 cnf(290,plain,
% 0.51/0.82 (~P17(x2901,x2901)+~P7(x2901)+~P7(x2901)),
% 0.51/0.82 inference(equality_inference,[],[198])).
% 0.51/0.82 cnf(355,plain,
% 0.51/0.82 (E(a1,f5(f5(f5(a9,f4(a10,a3)),f4(a11,a3)),a12))),
% 0.51/0.82 inference(scs_inference,[],[86,148,98,96,102,175,2,65,288,290,3])).
% 0.51/0.82 cnf(370,plain,
% 0.51/0.82 (E(a10,a11)),
% 0.51/0.82 inference(scs_inference,[],[100,101,104,105,355,103,175,2,288,290,283])).
% 0.51/0.82 cnf(380,plain,
% 0.51/0.82 ($false),
% 0.51/0.82 inference(scs_inference,[],[150,370,127,175,2]),
% 0.51/0.82 ['proof']).
% 0.51/0.82 % SZS output end Proof
% 0.51/0.82 % Total time :0.140000s
%------------------------------------------------------------------------------