%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC352-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 16:15:09 EDT 2024
% Result : Unsatisfiable 50.77s 50.89s
% Output : CNFRefutation 50.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC352-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.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 05:21:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 50.77/50.88 %-------------------------------------------
% 50.77/50.88 % File :CSE---1.7
% 50.77/50.88 % Problem :theBenchmark
% 50.77/50.88 % Transform :cnf
% 50.77/50.88 % Format :tptp:raw
% 50.77/50.88 % Command :java -jar mcs_scs.jar %d %s
% 50.77/50.88
% 50.77/50.88 % Result :Theorem 50.240000s
% 50.77/50.88 % Output :CNFRefutation 50.240000s
% 50.77/50.88 %-------------------------------------------
% 50.77/50.89 %--------------------------------------------------------------------------
% 50.77/50.89 % File : SWC352-1 : TPTP v8.2.0. Released v2.4.0.
% 50.77/50.89 % Domain : Software Creation
% 50.77/50.89 % Problem : cond_segment_front_x_ne_segment_front_total1
% 50.77/50.89 % Version : [Wei00] axioms.
% 50.77/50.89 % English : Find components in a software library that match a given target
% 50.77/50.89 % specification given in first-order logic. The components are
% 50.77/50.89 % specified in first-order logic as well. The problem represents
% 50.77/50.89 % a test of one library module specification against a target
% 50.77/50.89 % specification.
% 50.77/50.89
% 50.77/50.89 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 50.77/50.89 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 50.77/50.89 % Source : [TPTP]
% 50.77/50.89 % Names :
% 50.77/50.89
% 50.77/50.89 % Status : Unsatisfiable
% 50.77/50.89 % 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, 0.14 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.22 v2.5.0, 0.11 v2.4.0
% 50.77/50.89 % Syntax : Number of clauses : 195 ( 61 unt; 33 nHn; 152 RR)
% 50.77/50.89 % Number of literals : 617 ( 102 equ; 402 neg)
% 50.77/50.89 % Maximal clause size : 10 ( 3 avg)
% 50.77/50.89 % Maximal term depth : 5 ( 1 avg)
% 50.77/50.89 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 50.77/50.89 % Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% 50.77/50.89 % Number of variables : 326 ( 49 sgn)
% 50.77/50.89 % SPC : CNF_UNS_RFO_SEQ_NHN
% 50.77/50.89
% 50.77/50.89 % Comments : Created by CNF conversion from SWC352+1
% 50.77/50.89 %--------------------------------------------------------------------------
% 50.77/50.89 %----Include list specification axioms
% 50.77/50.89 include('Axioms/SWC001-0.ax').
% 50.77/50.89 %--------------------------------------------------------------------------
% 50.77/50.89 cnf(co1_1,negated_conjecture,
% 50.77/50.89 ssList(sk1) ).
% 50.77/50.89
% 50.77/50.89 cnf(co1_2,negated_conjecture,
% 50.77/50.89 ssList(sk2) ).
% 50.77/50.89
% 50.77/50.89 cnf(co1_3,negated_conjecture,
% 50.77/50.89 ssList(sk3) ).
% 50.77/50.89
% 50.77/50.89 cnf(co1_4,negated_conjecture,
% 50.77/50.89 ssList(sk4) ).
% 50.77/50.89
% 50.77/50.89 cnf(co1_5,negated_conjecture,
% 50.77/50.89 sk2 = sk4 ).
% 50.77/50.89
% 50.77/50.89 cnf(co1_6,negated_conjecture,
% 50.77/50.89 sk1 = sk3 ).
% 50.77/50.89
% 50.77/50.89 cnf(co1_7,negated_conjecture,
% 50.77/50.89 ~ frontsegP(sk2,sk1) ).
% 50.77/50.89
% 50.77/50.89 cnf(co1_8,negated_conjecture,
% 50.77/50.89 ( nil = sk3
% 50.77/50.89 | nil != sk4 ) ).
% 50.77/50.89
% 50.77/50.89 cnf(co1_9,negated_conjecture,
% 50.77/50.89 ( ~ neq(sk4,nil)
% 50.77/50.89 | neq(sk3,nil) ) ).
% 50.77/50.89
% 50.77/50.89 cnf(co1_10,negated_conjecture,
% 50.77/50.89 ( ~ neq(sk4,nil)
% 50.77/50.89 | frontsegP(sk4,sk3) ) ).
% 50.77/50.89
% 50.77/50.89 %--------------------------------------------------------------------------
% 50.77/50.89 %-------------------------------------------
% 50.77/50.89 % Proof found
% 50.77/50.89 % SZS status Theorem for theBenchmark
% 50.77/50.89 % SZS output start Proof
% 50.77/50.90 %ClaNum:280(EqnAxiom:85)
% 50.77/50.90 %VarNum:891(SingletonVarNum:322)
% 50.77/50.90 %MaxLitNum:10
% 50.77/50.90 %MaxfuncDepth:4
% 50.77/50.90 %SharedTerms:31
% 50.77/50.90 %goalClause: 86 87 96 97 98 99 146 147 171 172
% 50.77/50.90 %singleGoalClaCount:7
% 50.77/50.90 [86]E(a1,a2)
% 50.77/50.90 [87]E(a7,a8)
% 50.77/50.90 [88]P1(a3)
% 50.77/50.90 [89]P2(a3)
% 50.77/50.90 [90]P4(a3)
% 50.77/50.90 [91]P18(a3)
% 50.77/50.90 [92]P5(a3)
% 50.77/50.90 [93]P19(a3)
% 50.77/50.90 [94]P3(a3)
% 50.77/50.90 [95]P6(a3)
% 50.77/50.90 [96]P6(a2)
% 50.77/50.90 [97]P6(a7)
% 50.77/50.90 [98]P6(a1)
% 50.77/50.90 [99]P6(a8)
% 50.77/50.90 [100]P7(a9)
% 50.77/50.90 [101]P7(a10)
% 50.77/50.90 [144]~E(a10,a9)
% 50.77/50.90 [145]~P8(a3)
% 50.77/50.90 [146]~P9(a7,a2)
% 50.77/50.90 [102]P6(f11(x1021))
% 50.77/50.90 [103]P6(f12(x1031))
% 50.77/50.90 [104]P6(f13(x1041))
% 50.77/50.90 [105]P6(f14(x1051))
% 50.77/50.90 [106]P6(f15(x1061))
% 50.77/50.90 [107]P6(f16(x1071))
% 50.77/50.90 [108]P6(f17(x1081))
% 50.77/50.90 [109]P6(f18(x1091))
% 50.77/50.90 [110]P6(f19(x1101))
% 50.77/50.90 [111]P6(f20(x1111))
% 50.77/50.90 [112]P6(f21(x1121))
% 50.77/50.90 [113]P6(f22(x1131))
% 50.77/50.90 [114]P6(f23(x1141))
% 50.77/50.90 [115]P6(f24(x1151))
% 50.77/50.90 [116]P6(f25(x1161))
% 50.77/50.90 [117]P6(f26(x1171))
% 50.77/50.90 [118]P6(f27(x1181))
% 50.77/50.90 [119]P6(f28(x1191))
% 50.77/50.90 [120]P6(f29(x1201))
% 50.77/50.90 [121]P6(f30(x1211))
% 50.77/50.90 [122]P6(f31(x1221))
% 50.77/50.90 [123]P7(f52(x1231))
% 50.77/50.90 [124]P7(f50(x1241))
% 50.77/50.90 [125]P7(f51(x1251))
% 50.77/50.90 [126]P7(f49(x1261))
% 50.77/50.90 [127]P7(f47(x1271))
% 50.77/50.90 [128]P7(f48(x1281))
% 50.77/50.90 [129]P7(f45(x1291))
% 50.77/50.90 [130]P7(f46(x1301))
% 50.77/50.90 [131]P7(f43(x1311))
% 50.77/50.90 [132]P7(f44(x1321))
% 50.77/50.90 [133]P7(f41(x1331))
% 50.77/50.90 [134]P7(f42(x1341))
% 50.77/50.90 [135]P7(f32(x1351))
% 50.77/50.90 [136]P7(f33(x1361))
% 50.77/50.90 [137]P7(f34(x1371))
% 50.77/50.90 [138]P6(f37(x1381,x1382))
% 50.77/50.90 [139]P6(f38(x1391,x1392))
% 50.77/50.90 [140]P6(f39(x1401,x1402))
% 50.77/50.90 [141]P6(f40(x1411,x1412))
% 50.77/50.90 [142]P6(f35(x1421,x1422))
% 50.77/50.90 [143]P6(f36(x1431,x1432))
% 50.77/50.90 [147]E(a1,a3)+~E(a3,a8)
% 50.77/50.90 [171]P9(a8,a1)+~P17(a8,a3)
% 50.77/50.90 [172]~P17(a8,a3)+P17(a1,a3)
% 50.77/50.90 [153]~P6(x1531)+P10(x1531,a3)
% 50.77/50.90 [154]~P6(x1541)+P11(x1541,a3)
% 50.77/50.90 [155]~P6(x1551)+P9(x1551,a3)
% 50.77/50.90 [158]~P7(x1581)+P12(x1581,x1581)
% 50.77/50.90 [159]~P6(x1591)+P10(x1591,x1591)
% 50.77/50.90 [160]~P6(x1601)+P11(x1601,x1601)
% 50.77/50.90 [161]~P6(x1611)+P9(x1611,x1611)
% 50.77/50.90 [162]~P7(x1621)+P13(x1621,x1621)
% 50.77/50.90 [167]~P7(x1671)+~P15(a3,x1671)
% 50.77/50.90 [173]~P16(x1731,x1731)+~P7(x1731)
% 50.77/50.90 [156]~P6(x1561)+E(f5(x1561,a3),x1561)
% 50.77/50.90 [157]~P6(x1571)+E(f5(a3,x1571),x1571)
% 50.77/50.90 [178]~P7(x1781)+P1(f6(x1781,a3))
% 50.77/50.90 [179]~P7(x1791)+P2(f6(x1791,a3))
% 50.77/50.90 [180]~P7(x1801)+P4(f6(x1801,a3))
% 50.77/50.90 [181]~P7(x1811)+P18(f6(x1811,a3))
% 50.77/50.90 [182]~P7(x1821)+P5(f6(x1821,a3))
% 50.77/50.90 [183]~P7(x1831)+P19(f6(x1831,a3))
% 50.77/50.90 [184]~P7(x1841)+P3(f6(x1841,a3))
% 50.77/50.90 [163]~P6(x1631)+~E(a3,x1631)+P10(a3,x1631)
% 50.77/50.90 [164]~P6(x1641)+~E(a3,x1641)+P11(a3,x1641)
% 50.77/50.90 [165]~P6(x1651)+~E(a3,x1651)+P9(a3,x1651)
% 50.77/50.90 [168]~P6(x1681)+~P10(a3,x1681)+E(a3,x1681)
% 50.77/50.90 [169]~P6(x1691)+~P11(a3,x1691)+E(a3,x1691)
% 50.77/50.90 [170]~P6(x1701)+~P9(a3,x1701)+E(a3,x1701)
% 50.77/50.90 [150]~P6(x1501)+E(a3,x1501)+P6(f53(x1501))
% 50.77/50.90 [152]~P6(x1521)+E(a3,x1521)+P7(f4(x1521))
% 50.77/50.90 [166]~P6(x1661)+P1(x1661)+~E(f51(x1661),f50(x1661))
% 50.77/50.90 [189]~P6(x1891)+P3(x1891)+P13(f32(x1891),f33(x1891))
% 50.77/50.90 [190]~P6(x1901)+P3(x1901)+P13(f33(x1901),f32(x1901))
% 50.77/50.90 [210]~P6(x2101)+P4(x2101)+~P16(f48(x2101),f47(x2101))
% 50.77/50.90 [211]~P6(x2111)+P18(x2111)+~P13(f46(x2111),f45(x2111))
% 50.77/50.90 [212]~P6(x2121)+P5(x2121)+~P16(f43(x2121),f44(x2121))
% 50.77/50.90 [213]~P6(x2131)+P5(x2131)+~P16(f44(x2131),f43(x2131))
% 50.77/50.90 [214]~P6(x2141)+P19(x2141)+~P13(f41(x2141),f42(x2141))
% 50.77/50.90 [215]~P6(x2151)+P19(x2151)+~P13(f42(x2151),f41(x2151))
% 50.77/50.90 [177]~P6(x1771)+~P8(x1771)+E(f6(f34(x1771),a3),x1771)
% 50.77/50.90 [185]~P6(x1851)+E(a3,x1851)+E(f6(f52(x1851),f11(x1851)),x1851)
% 50.77/50.90 [186]~P6(x1861)+E(a3,x1861)+E(f6(f4(x1861),f53(x1861)),x1861)
% 50.77/50.90 [269]P2(x2691)+~P6(x2691)+E(f5(f5(f16(x2691),f6(f49(x2691),f15(x2691))),f6(f49(x2691),f14(x2691))),x2691)
% 50.77/50.90 [270]P4(x2701)+~P6(x2701)+E(f5(f5(f19(x2701),f6(f48(x2701),f18(x2701))),f6(f47(x2701),f17(x2701))),x2701)
% 50.77/50.90 [271]P18(x2711)+~P6(x2711)+E(f5(f5(f22(x2711),f6(f46(x2711),f21(x2711))),f6(f45(x2711),f20(x2711))),x2711)
% 50.77/50.90 [272]P5(x2721)+~P6(x2721)+E(f5(f5(f25(x2721),f6(f44(x2721),f24(x2721))),f6(f43(x2721),f23(x2721))),x2721)
% 50.77/50.90 [273]P19(x2731)+~P6(x2731)+E(f5(f5(f28(x2731),f6(f42(x2731),f27(x2731))),f6(f41(x2731),f26(x2731))),x2731)
% 50.77/50.90 [274]P3(x2741)+~P6(x2741)+E(f5(f5(f31(x2741),f6(f33(x2741),f30(x2741))),f6(f32(x2741),f29(x2741))),x2741)
% 50.77/50.90 [267]P1(x2671)+~P6(x2671)+E(f5(f13(x2671),f6(f51(x2671),f6(f50(x2671),f12(x2671)))),x2671)
% 50.77/50.90 [148]~P6(x1481)+P2(x1481)+P7(x1482)
% 50.77/50.90 [187]~P6(x1872)+~P7(x1871)+~E(f6(x1871,x1872),a3)
% 50.77/50.90 [188]~P6(x1882)+~P7(x1881)+~E(f6(x1881,x1882),x1882)
% 50.77/50.90 [197]~P6(x1972)+~P7(x1971)+P6(f6(x1971,x1972))
% 50.77/50.90 [198]~P6(x1981)+~P6(x1982)+P6(f5(x1981,x1982))
% 50.77/50.90 [199]~P6(x1992)+~P7(x1991)+E(f53(f6(x1991,x1992)),x1992)
% 50.77/50.90 [200]~P6(x2002)+~P7(x2001)+E(f4(f6(x2001,x2002)),x2001)
% 50.77/50.90 [227]~P6(x2272)+~P7(x2271)+E(f5(f6(x2271,a3),x2272),f6(x2271,x2272))
% 50.77/50.90 [174]P17(x1742,x1741)+~P6(x1742)+~P6(x1741)+E(x1741,x1742)
% 50.77/50.90 [175]P17(x1752,x1751)+~P7(x1752)+~P7(x1751)+E(x1751,x1752)
% 50.77/50.90 [194]~P6(x1942)+~P6(x1941)+~P17(x1941,x1942)+~E(x1941,x1942)
% 50.77/50.90 [195]~P7(x1952)+~P7(x1951)+~P16(x1951,x1952)+~E(x1951,x1952)
% 50.77/50.90 [196]~P7(x1962)+~P7(x1961)+~P17(x1961,x1962)+~E(x1961,x1962)
% 50.77/50.90 [205]~P7(x2051)+~P7(x2052)+~P13(x2052,x2051)+P12(x2051,x2052)
% 50.77/50.90 [206]~P7(x2061)+~P7(x2062)+~P12(x2062,x2061)+P13(x2061,x2062)
% 50.77/50.90 [207]~P7(x2072)+~P7(x2071)+~P16(x2071,x2072)+P13(x2071,x2072)
% 50.77/50.90 [208]~P7(x2081)+~P7(x2082)+~P14(x2082,x2081)+P16(x2081,x2082)
% 50.77/50.90 [209]~P7(x2091)+~P7(x2092)+~P16(x2092,x2091)+P14(x2091,x2092)
% 50.77/50.90 [218]~P16(x2181,x2182)+~P16(x2182,x2181)+~P7(x2181)+~P7(x2182)
% 50.77/50.90 [219]~P14(x2191,x2192)+~P14(x2192,x2191)+~P7(x2191)+~P7(x2192)
% 50.77/50.90 [191]~P6(x1911)+~P6(x1912)+E(a3,x1911)+~E(f5(x1912,x1911),a3)
% 50.77/50.90 [192]~P6(x1922)+~P6(x1921)+E(a3,x1921)+~E(f5(x1921,x1922),a3)
% 50.77/50.90 [193]~P6(x1931)+~P7(x1932)+P8(x1931)+~E(f6(x1932,a3),x1931)
% 50.77/50.90 [202]~P6(x2022)+~P7(x2021)+~E(a3,x2022)+P4(f6(x2021,x2022))
% 50.77/50.90 [203]~P6(x2032)+~P7(x2031)+~E(a3,x2032)+P18(f6(x2031,x2032))
% 50.77/50.90 [204]~P6(x2041)+~P6(x2042)+E(a3,x2041)+E(f4(f5(x2041,x2042)),f4(x2041))
% 50.77/50.90 [229]~P6(x2291)+~P6(x2292)+E(a3,x2291)+E(f53(f5(x2291,x2292)),f5(f53(x2291),x2292))
% 50.77/50.90 [236]~P6(x2361)+~P6(x2362)+~P9(x2362,x2361)+E(f5(x2361,f40(x2362,x2361)),x2362)
% 50.77/50.90 [237]~P6(x2372)+~P6(x2371)+~P11(x2371,x2372)+E(f5(f39(x2371,x2372),x2372),x2371)
% 50.77/50.90 [266]~P6(x2662)+~P6(x2661)+~P10(x2661,x2662)+E(f5(f5(f38(x2661,x2662),x2662),f37(x2662,x2661)),x2661)
% 50.77/50.90 [265]~P6(x2651)+~P7(x2652)+~P15(x2651,x2652)+E(f5(f36(x2651,x2652),f6(x2652,f35(x2652,x2651))),x2651)
% 50.77/50.90 [255]~P6(x2553)+~P6(x2552)+~P7(x2551)+E(f6(x2551,f5(x2552,x2553)),f5(f6(x2551,x2552),x2553))
% 50.77/50.90 [256]~P6(x2561)+~P6(x2562)+~P6(x2563)+E(f5(f5(x2561,x2562),x2563),f5(x2561,f5(x2562,x2563)))
% 50.77/50.90 [217]P16(x2171,x2172)+~P7(x2172)+~P7(x2171)+~P13(x2171,x2172)+E(x2171,x2172)
% 50.77/50.90 [222]~P6(x2222)+~P6(x2221)+~P10(x2222,x2221)+~P10(x2221,x2222)+E(x2221,x2222)
% 50.77/50.90 [223]~P6(x2232)+~P6(x2231)+~P11(x2232,x2231)+~P11(x2231,x2232)+E(x2231,x2232)
% 50.77/50.90 [224]~P6(x2242)+~P6(x2241)+~P9(x2242,x2241)+~P9(x2241,x2242)+E(x2241,x2242)
% 50.77/50.90 [225]~P7(x2252)+~P7(x2251)+~P12(x2252,x2251)+~P12(x2251,x2252)+E(x2251,x2252)
% 50.77/50.90 [226]~P7(x2262)+~P7(x2261)+~P13(x2262,x2261)+~P13(x2261,x2262)+E(x2261,x2262)
% 50.77/50.90 [176]~P6(x1762)+~P6(x1761)+~E(a3,x1762)+~E(a3,x1761)+E(f5(x1761,x1762),a3)
% 50.77/50.90 [232]P4(x2321)+~P6(x2321)+~P7(x2322)+E(a3,x2321)+~P4(f6(x2322,x2321))
% 50.77/50.90 [233]P18(x2331)+~P6(x2331)+~P7(x2332)+E(a3,x2331)+~P18(f6(x2332,x2331))
% 50.77/50.90 [246]~P6(x2461)+~P7(x2462)+E(a3,x2461)+P13(x2462,f4(x2461))+~P18(f6(x2462,x2461))
% 50.77/50.90 [247]~P6(x2471)+~P7(x2472)+E(a3,x2471)+P16(x2472,f4(x2471))+~P4(f6(x2472,x2471))
% 50.77/50.90 [220]~P6(x2201)+~P6(x2202)+~P6(x2203)+P11(x2201,x2202)+~E(f5(x2203,x2202),x2201)
% 50.77/50.90 [221]~P6(x2211)+~P6(x2213)+~P6(x2212)+P9(x2211,x2212)+~E(f5(x2212,x2213),x2211)
% 50.77/50.90 [228]~E(x2283,x2281)+~P6(x2282)+~P7(x2281)+~P7(x2283)+P15(f6(x2281,x2282),x2283)
% 50.77/50.90 [230]~P6(x2302)+~P6(x2301)+~P6(x2303)+E(x2301,x2302)+~E(f5(x2303,x2301),f5(x2303,x2302))
% 50.77/50.90 [231]~P6(x2312)+~P6(x2313)+~P6(x2311)+E(x2311,x2312)+~E(f5(x2311,x2313),f5(x2312,x2313))
% 50.77/50.90 [248]~P6(x2481)+~P6(x2483)+~P6(x2482)+~P11(x2482,x2483)+P11(f5(x2481,x2482),x2483)
% 50.77/50.90 [249]~P6(x2492)+~P6(x2493)+~P6(x2491)+~P9(x2491,x2493)+P9(f5(x2491,x2492),x2493)
% 50.77/50.90 [250]~P6(x2502)+~P7(x2501)+~P7(x2503)+~P15(x2502,x2503)+P15(f6(x2501,x2502),x2503)
% 50.77/50.90 [251]~P6(x2511)+~P6(x2512)+~P7(x2513)+~P15(x2512,x2513)+P15(f5(x2511,x2512),x2513)
% 50.77/50.90 [252]~P6(x2522)+~P6(x2521)+~P7(x2523)+~P15(x2521,x2523)+P15(f5(x2521,x2522),x2523)
% 50.77/50.90 [253]~P4(x2531)+~P6(x2531)+~P7(x2532)+~P16(x2532,f4(x2531))+E(a3,x2531)+P4(f6(x2532,x2531))
% 50.77/50.90 [254]~P18(x2541)+~P6(x2541)+~P7(x2542)+~P13(x2542,f4(x2541))+E(a3,x2541)+P18(f6(x2542,x2541))
% 50.77/50.90 [238]~P7(x2382)+~P7(x2381)+~P12(x2383,x2382)+~P12(x2381,x2383)+P12(x2381,x2382)+~P7(x2383)
% 50.77/50.90 [239]~P6(x2392)+~P6(x2391)+~P10(x2393,x2392)+~P10(x2391,x2393)+P10(x2391,x2392)+~P6(x2393)
% 50.77/50.90 [240]~P6(x2402)+~P6(x2401)+~P11(x2403,x2402)+~P11(x2401,x2403)+P11(x2401,x2402)+~P6(x2403)
% 50.77/50.90 [241]~P6(x2412)+~P6(x2411)+~P9(x2413,x2412)+~P9(x2411,x2413)+P9(x2411,x2412)+~P6(x2413)
% 50.77/50.90 [242]~P7(x2422)+~P7(x2421)+~P13(x2423,x2422)+~P13(x2421,x2423)+P13(x2421,x2422)+~P7(x2423)
% 50.77/50.90 [243]~P7(x2432)+~P7(x2431)+~P13(x2431,x2433)+~P16(x2433,x2432)+P16(x2431,x2432)+~P7(x2433)
% 50.77/50.90 [244]~P7(x2442)+~P7(x2441)+~P16(x2443,x2442)+~P16(x2441,x2443)+P16(x2441,x2442)+~P7(x2443)
% 50.77/50.90 [245]~P7(x2452)+~P7(x2451)+~P14(x2453,x2452)+~P14(x2451,x2453)+P14(x2451,x2452)+~P7(x2453)
% 50.77/50.90 [257]~P6(x2573)+~P7(x2572)+~P7(x2571)+E(x2571,x2572)+P15(x2573,x2572)+~P15(f6(x2571,x2573),x2572)
% 50.77/50.90 [260]~P6(x2601)+~P6(x2603)+~P7(x2602)+P15(x2601,x2602)+P15(x2603,x2602)+~P15(f5(x2603,x2601),x2602)
% 50.77/50.90 [234]~P6(x2342)+~P6(x2341)+~P7(x2344)+~P7(x2343)+E(x2341,x2342)+~E(f6(x2343,x2341),f6(x2344,x2342))
% 50.77/50.91 [235]~P6(x2354)+~P6(x2353)+~P7(x2352)+~P7(x2351)+E(x2351,x2352)+~E(f6(x2351,x2353),f6(x2352,x2354))
% 50.77/50.91 [262]~P7(x2622)+~P7(x2621)+E(x2621,x2622)+~P6(x2623)+~P6(x2624)+~P9(f6(x2621,x2624),f6(x2622,x2623))
% 50.77/50.91 [264]~P6(x2642)+~P6(x2641)+P9(x2641,x2642)+~P7(x2643)+~P7(x2644)+~P9(f6(x2644,x2641),f6(x2643,x2642))
% 50.77/50.91 [258]~P6(x2581)+~P6(x2584)+~P6(x2583)+~P7(x2582)+P15(x2581,x2582)+~E(f5(x2583,f6(x2582,x2584)),x2581)
% 50.77/50.91 [259]~P6(x2591)+~P6(x2594)+~P6(x2592)+~P6(x2593)+P10(x2591,x2592)+~E(f5(f5(x2593,x2592),x2594),x2591)
% 50.77/50.91 [263]~P6(x2631)+~P6(x2633)+~P6(x2634)+~P6(x2632)+~P10(x2632,x2634)+P10(f5(f5(x2631,x2632),x2633),x2634)
% 50.77/50.91 [201]~P6(x2012)+~P6(x2011)+E(x2011,x2012)+E(a3,x2012)+E(a3,x2011)+~E(f53(x2011),f53(x2012))+~E(f4(x2011),f4(x2012))
% 50.77/50.91 [261]~E(x2611,x2613)+~P6(x2614)+~P6(x2612)+~P7(x2613)+~P7(x2611)+~P9(x2612,x2614)+P9(f6(x2611,x2612),f6(x2613,x2614))
% 50.77/50.91 [275]~P2(x2755)+~P6(x2755)+~P6(x2754)+~P6(x2753)+~P6(x2751)+~P7(x2752)+~E(f5(f5(x2751,f6(x2752,x2753)),f6(x2752,x2754)),x2755)
% 50.77/50.91 [268]~P1(x2685)+~P6(x2685)+~P6(x2684)+~P6(x2683)+~P7(x2682)+~P7(x2681)+E(x2681,x2682)+~E(f5(x2683,f6(x2681,f6(x2682,x2684))),x2685)
% 50.77/50.91 [276]~P18(x2766)+~P6(x2766)+~P6(x2765)+~P6(x2764)+~P6(x2763)+~P7(x2762)+~P7(x2761)+P13(x2761,x2762)+~E(f5(f5(x2763,f6(x2761,x2764)),f6(x2762,x2765)),x2766)
% 50.77/50.91 [277]~P4(x2776)+~P6(x2776)+~P6(x2775)+~P6(x2774)+~P6(x2773)+~P7(x2772)+~P7(x2771)+P16(x2771,x2772)+~E(f5(f5(x2773,f6(x2771,x2774)),f6(x2772,x2775)),x2776)
% 50.77/50.91 [278]P13(x2782,x2781)+~P19(x2786)+~P6(x2786)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P7(x2781)+~P7(x2782)+P13(x2781,x2782)+~E(f5(f5(x2783,f6(x2782,x2784)),f6(x2781,x2785)),x2786)
% 50.77/50.91 [279]P16(x2792,x2791)+~P5(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2791)+~P7(x2792)+P16(x2791,x2792)+~E(f5(f5(x2793,f6(x2792,x2794)),f6(x2791,x2795)),x2796)
% 50.77/50.91 [280]~P3(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2803)+~P6(x2801)+~P7(x2804)+~P7(x2802)+~P13(x2804,x2802)+~P13(x2802,x2804)+~E(f5(f5(x2801,f6(x2802,x2803)),f6(x2804,x2805)),x2806)
% 50.77/50.91 %EqnAxiom
% 50.77/50.91 [1]E(x11,x11)
% 50.77/50.91 [2]E(x22,x21)+~E(x21,x22)
% 50.77/50.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 50.77/50.91 [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 50.77/50.91 [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 50.77/50.91 [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 50.77/50.91 [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 50.77/50.91 [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 50.77/50.91 [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 50.77/50.91 [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 50.77/50.91 [11]~E(x111,x112)+E(f18(x111),f18(x112))
% 50.77/50.91 [12]~E(x121,x122)+E(f19(x121),f19(x122))
% 50.77/50.91 [13]~E(x131,x132)+E(f20(x131),f20(x132))
% 50.77/50.91 [14]~E(x141,x142)+E(f21(x141),f21(x142))
% 50.77/50.91 [15]~E(x151,x152)+E(f22(x151),f22(x152))
% 50.77/50.91 [16]~E(x161,x162)+E(f23(x161),f23(x162))
% 50.77/50.91 [17]~E(x171,x172)+E(f24(x171),f24(x172))
% 50.77/50.91 [18]~E(x181,x182)+E(f25(x181),f25(x182))
% 50.77/50.91 [19]~E(x191,x192)+E(f26(x191),f26(x192))
% 50.77/50.91 [20]~E(x201,x202)+E(f27(x201),f27(x202))
% 50.77/50.91 [21]~E(x211,x212)+E(f28(x211),f28(x212))
% 50.77/50.91 [22]~E(x221,x222)+E(f29(x221),f29(x222))
% 50.77/50.91 [23]~E(x231,x232)+E(f30(x231),f30(x232))
% 50.77/50.91 [24]~E(x241,x242)+E(f31(x241),f31(x242))
% 50.77/50.91 [25]~E(x251,x252)+E(f52(x251),f52(x252))
% 50.77/50.91 [26]~E(x261,x262)+E(f50(x261),f50(x262))
% 50.77/50.91 [27]~E(x271,x272)+E(f51(x271),f51(x272))
% 50.77/50.91 [28]~E(x281,x282)+E(f49(x281),f49(x282))
% 50.77/50.91 [29]~E(x291,x292)+E(f47(x291),f47(x292))
% 50.77/50.91 [30]~E(x301,x302)+E(f48(x301),f48(x302))
% 50.77/50.91 [31]~E(x311,x312)+E(f45(x311),f45(x312))
% 50.77/50.91 [32]~E(x321,x322)+E(f46(x321),f46(x322))
% 50.77/50.91 [33]~E(x331,x332)+E(f43(x331),f43(x332))
% 50.77/50.91 [34]~E(x341,x342)+E(f44(x341),f44(x342))
% 50.77/50.91 [35]~E(x351,x352)+E(f41(x351),f41(x352))
% 50.77/50.91 [36]~E(x361,x362)+E(f42(x361),f42(x362))
% 50.77/50.91 [37]~E(x371,x372)+E(f32(x371),f32(x372))
% 50.77/50.91 [38]~E(x381,x382)+E(f33(x381),f33(x382))
% 50.77/50.91 [39]~E(x391,x392)+E(f34(x391),f34(x392))
% 50.77/50.91 [40]~E(x401,x402)+E(f37(x401,x403),f37(x402,x403))
% 50.77/50.91 [41]~E(x411,x412)+E(f37(x413,x411),f37(x413,x412))
% 50.77/50.91 [42]~E(x421,x422)+E(f38(x421,x423),f38(x422,x423))
% 50.77/50.91 [43]~E(x431,x432)+E(f38(x433,x431),f38(x433,x432))
% 50.77/50.91 [44]~E(x441,x442)+E(f39(x441,x443),f39(x442,x443))
% 50.77/50.91 [45]~E(x451,x452)+E(f39(x453,x451),f39(x453,x452))
% 50.77/50.91 [46]~E(x461,x462)+E(f40(x461,x463),f40(x462,x463))
% 50.77/50.91 [47]~E(x471,x472)+E(f40(x473,x471),f40(x473,x472))
% 50.77/50.91 [48]~E(x481,x482)+E(f35(x481,x483),f35(x482,x483))
% 50.77/50.91 [49]~E(x491,x492)+E(f35(x493,x491),f35(x493,x492))
% 50.77/50.91 [50]~E(x501,x502)+E(f36(x501,x503),f36(x502,x503))
% 50.77/50.91 [51]~E(x511,x512)+E(f36(x513,x511),f36(x513,x512))
% 50.77/50.91 [52]~E(x521,x522)+E(f53(x521),f53(x522))
% 50.77/50.91 [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 50.77/50.91 [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 50.77/50.91 [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 50.77/50.91 [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 50.77/50.91 [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 50.77/50.91 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 50.77/50.91 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 50.77/50.91 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 50.77/50.91 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 50.77/50.91 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 50.77/50.91 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 50.77/50.91 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 50.77/50.91 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 50.77/50.91 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 50.77/50.91 [67]P13(x672,x673)+~E(x671,x672)+~P13(x671,x673)
% 50.77/50.91 [68]P13(x683,x682)+~E(x681,x682)+~P13(x683,x681)
% 50.77/50.91 [69]P16(x692,x693)+~E(x691,x692)+~P16(x691,x693)
% 50.77/50.91 [70]P16(x703,x702)+~E(x701,x702)+~P16(x703,x701)
% 50.77/50.91 [71]P9(x712,x713)+~E(x711,x712)+~P9(x711,x713)
% 50.77/50.91 [72]P9(x723,x722)+~E(x721,x722)+~P9(x723,x721)
% 50.77/50.91 [73]P15(x732,x733)+~E(x731,x732)+~P15(x731,x733)
% 50.77/50.91 [74]P15(x743,x742)+~E(x741,x742)+~P15(x743,x741)
% 50.77/50.91 [75]P14(x752,x753)+~E(x751,x752)+~P14(x751,x753)
% 50.77/50.91 [76]P14(x763,x762)+~E(x761,x762)+~P14(x763,x761)
% 50.77/50.91 [77]P12(x772,x773)+~E(x771,x772)+~P12(x771,x773)
% 50.77/50.91 [78]P12(x783,x782)+~E(x781,x782)+~P12(x783,x781)
% 50.77/50.91 [79]P10(x792,x793)+~E(x791,x792)+~P10(x791,x793)
% 50.77/50.91 [80]P10(x803,x802)+~E(x801,x802)+~P10(x803,x801)
% 50.77/50.91 [81]~P8(x811)+P8(x812)+~E(x811,x812)
% 50.77/50.91 [82]P17(x822,x823)+~E(x821,x822)+~P17(x821,x823)
% 50.77/50.91 [83]P17(x833,x832)+~E(x831,x832)+~P17(x833,x831)
% 50.77/50.91 [84]P11(x842,x843)+~E(x841,x842)+~P11(x841,x843)
% 50.77/50.91 [85]P11(x853,x852)+~E(x851,x852)+~P11(x853,x851)
% 50.77/50.91
% 50.77/50.91 %-------------------------------------------
% 50.77/50.91 cnf(285,plain,
% 50.77/50.91 (~P17(x2851,x2851)+~P6(x2851)+~P6(x2851)),
% 50.77/50.91 inference(equality_inference,[],[194])).
% 50.77/50.91 cnf(291,plain,
% 50.77/50.91 (P9(f5(x2911,x2912),x2911)+~P6(f5(x2911,x2912))+~P6(x2912)+~P6(x2911)),
% 50.77/50.91 inference(equality_inference,[],[221])).
% 50.77/50.91 cnf(297,plain,
% 50.77/50.91 (P15(f5(x2971,f6(x2972,x2973)),x2972)+~P6(f5(x2971,f6(x2972,x2973)))+~P6(x2973)+~P6(x2971)+~P7(x2972)),
% 50.77/50.91 inference(equality_inference,[],[258])).
% 50.77/50.91 cnf(299,plain,
% 50.77/50.91 (~P7(x2991)+~P7(x2991)+~P9(x2992,x2993)+~P6(x2993)+~P6(x2992)+P9(f6(x2991,x2992),f6(x2991,x2993))),
% 50.77/50.91 inference(equality_inference,[],[261])).
% 50.77/50.91 cnf(301,plain,
% 50.77/50.91 (~P6(f5(f5(x3011,f6(x3012,x3013)),f6(x3012,x3014)))+~P2(f5(f5(x3011,f6(x3012,x3013)),f6(x3012,x3014)))+~P6(x3014)+~P6(x3013)+~P6(x3011)+~P7(x3012)),
% 50.77/50.91 inference(equality_inference,[],[275])).
% 50.77/50.91 cnf(307,plain,
% 50.77/50.91 (E(a2,a1)),
% 50.77/50.91 inference(scs_inference,[],[86,2])).
% 50.77/50.91 cnf(336,plain,
% 50.77/50.91 (E(a8,a7)),
% 50.77/50.91 inference(scs_inference,[],[87,101,173,2])).
% 50.77/50.91 cnf(359,plain,
% 50.77/50.91 (~P17(a8,a8)),
% 50.77/50.91 inference(scs_inference,[],[99,124,173,285])).
% 50.77/50.91 cnf(2275,plain,
% 50.77/50.91 (P10(a2,a3)),
% 50.77/50.91 inference(scs_inference,[],[86,98,153,65])).
% 50.77/50.91 cnf(2282,plain,
% 50.77/50.91 (P9(f6(f42(x22821),a8),f6(f42(x22821),a8))+~P9(a8,a8)),
% 50.77/50.91 inference(scs_inference,[],[99,96,307,139,95,134,2275,79,80,222,297,299])).
% 50.77/50.91 cnf(2555,plain,
% 50.77/50.91 (P11(a7,a8)),
% 50.77/50.91 inference(scs_inference,[],[99,336,160,84])).
% 50.77/50.91 cnf(2612,plain,
% 50.77/50.91 (P9(f6(f42(x26121),a8),f6(f42(x26121),a8))),
% 50.77/50.91 inference(scs_inference,[],[99,161,2282])).
% 50.77/50.91 cnf(2613,plain,
% 50.77/50.91 (P9(a8,a8)),
% 50.77/50.91 inference(scs_inference,[],[99,2612,134,264])).
% 50.77/50.91 cnf(2644,plain,
% 50.77/50.91 (~E(a8,a2)),
% 50.77/50.91 inference(scs_inference,[],[146,336,2613,71,72])).
% 50.77/50.91 cnf(2645,plain,
% 50.77/50.91 (~P9(a8,a2)),
% 50.77/50.91 inference(scs_inference,[],[146,97,99,96,336,2613,71,72,241])).
% 50.77/50.91 cnf(2760,plain,
% 50.77/50.91 (~E(a8,a1)),
% 50.77/50.91 inference(scs_inference,[],[86,2644,3])).
% 50.77/50.91 cnf(3520,plain,
% 50.77/50.91 (~P17(a8,a3)),
% 50.77/50.91 inference(scs_inference,[],[2645,86,171,72])).
% 50.77/50.91 cnf(5537,plain,
% 50.77/50.91 (E(f5(a8,a3),a8)),
% 50.77/50.91 inference(scs_inference,[],[87,97,156,65])).
% 50.77/50.91 cnf(5538,plain,
% 50.77/50.91 (E(a8,f5(a8,a3))),
% 50.77/50.91 inference(scs_inference,[],[5537,2])).
% 50.77/50.91 cnf(5539,plain,
% 50.77/50.91 (P6(f5(a8,a3))),
% 50.77/50.91 inference(scs_inference,[],[99,5537,2,65])).
% 50.77/50.91 cnf(5540,plain,
% 50.77/50.91 (E(a7,f5(a8,a3))),
% 50.77/50.91 inference(scs_inference,[],[87,99,5537,2,65,3])).
% 50.77/50.91 cnf(5543,plain,
% 50.77/50.91 (P11(a8,a3)),
% 50.77/50.91 inference(scs_inference,[],[87,99,95,5537,2,65,3,285,220])).
% 50.92/50.91 cnf(5553,plain,
% 50.92/50.91 (E(f5(a8,a3),a7)),
% 50.92/50.91 inference(scs_inference,[],[5540,2])).
% 50.92/50.91 cnf(5624,plain,
% 50.92/50.91 (~P11(a3,a8)+E(a3,a8)),
% 50.92/50.91 inference(scs_inference,[],[99,5538,5539,95,5537,5543,66,64,58,62,291,223])).
% 50.92/50.91 cnf(5717,plain,
% 50.92/50.91 (~E(a1,a8)),
% 50.92/50.91 inference(scs_inference,[],[99,98,2760,359,174,82])).
% 50.92/50.91 cnf(5727,plain,
% 50.92/50.91 (~E(a3,a8)),
% 50.92/50.91 inference(scs_inference,[],[87,99,98,3520,5539,100,5717,3,174,83,301,147])).
% 50.92/50.91 cnf(5731,plain,
% 50.92/50.91 (~P11(a3,a8)),
% 50.92/50.91 inference(scs_inference,[],[5727,5624])).
% 50.92/50.91 cnf(5732,plain,
% 50.92/50.91 (~E(a3,a7)),
% 50.92/50.91 inference(scs_inference,[],[87,5727,3])).
% 50.92/50.91 cnf(5746,plain,
% 50.92/50.91 ($false),
% 50.92/50.91 inference(scs_inference,[],[87,97,3520,5553,5732,95,2555,5731,3,84,174,82]),
% 50.92/50.91 ['proof']).
% 50.92/50.92 % SZS output end Proof
% 50.92/50.92 % Total time :50.240000s
%------------------------------------------------------------------------------