%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC256-1 : 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 : n022.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 16:14:42 EDT 2024
% Result : Unsatisfiable 0.66s 0.76s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC256-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 20 04:49:24 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.66/0.75 %-------------------------------------------
% 0.66/0.75 % File :CSE---1.7
% 0.66/0.75 % Problem :theBenchmark
% 0.66/0.75 % Transform :cnf
% 0.66/0.75 % Format :tptp:raw
% 0.66/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.66/0.75
% 0.66/0.75 % Result :Theorem 0.120000s
% 0.66/0.75 % Output :CNFRefutation 0.120000s
% 0.66/0.75 %-------------------------------------------
% 0.66/0.76 %--------------------------------------------------------------------------
% 0.66/0.76 % File : SWC256-1 : TPTP v8.2.0. Released v2.4.0.
% 0.66/0.76 % Domain : Software Creation
% 0.66/0.76 % Problem : cond_pst_singleton_ne_x_some_total2
% 0.66/0.76 % Version : [Wei00] axioms.
% 0.66/0.76 % English : Find components in a software library that match a given target
% 0.66/0.76 % specification given in first-order logic. The components are
% 0.66/0.76 % specified in first-order logic as well. The problem represents
% 0.66/0.76 % a test of one library module specification against a target
% 0.66/0.76 % specification.
% 0.66/0.76
% 0.66/0.76 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.66/0.76 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.66/0.76 % Source : [TPTP]
% 0.66/0.76 % Names :
% 0.66/0.76
% 0.66/0.76 % Status : Unsatisfiable
% 0.66/0.76 % 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 v7.0.0, 0.07 v6.4.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.33 v5.2.0, 0.31 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 0.18 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.31 v3.1.0, 0.27 v2.7.0, 0.33 v2.6.0, 0.44 v2.5.0, 0.33 v2.4.0
% 0.66/0.76 % Syntax : Number of clauses : 199 ( 62 unt; 39 nHn; 156 RR)
% 0.66/0.76 % Number of literals : 624 ( 108 equ; 399 neg)
% 0.66/0.76 % Maximal clause size : 10 ( 3 avg)
% 0.66/0.76 % Maximal term depth : 5 ( 1 avg)
% 0.66/0.76 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.66/0.76 % Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% 0.66/0.76 % Number of variables : 326 ( 49 sgn)
% 0.66/0.76 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.66/0.76
% 0.66/0.76 % Comments : Created by CNF conversion from SWC256+1
% 0.66/0.76 %--------------------------------------------------------------------------
% 0.66/0.76 %----Include list specification axioms
% 0.66/0.76 include('Axioms/SWC001-0.ax').
% 0.66/0.76 %--------------------------------------------------------------------------
% 0.66/0.76 cnf(co1_1,negated_conjecture,
% 0.66/0.76 ssList(sk1) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_2,negated_conjecture,
% 0.66/0.76 ssList(sk2) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_3,negated_conjecture,
% 0.66/0.76 ssList(sk3) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_4,negated_conjecture,
% 0.66/0.76 ssList(sk4) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_5,negated_conjecture,
% 0.66/0.76 sk2 = sk4 ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_6,negated_conjecture,
% 0.66/0.76 sk1 = sk3 ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_7,negated_conjecture,
% 0.66/0.76 neq(sk2,nil) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_8,negated_conjecture,
% 0.66/0.76 ~ singletonP(sk1) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_9,negated_conjecture,
% 0.66/0.76 ( ssItem(sk5)
% 0.66/0.76 | nil = sk4 ) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_10,negated_conjecture,
% 0.66/0.76 ( ssItem(sk5)
% 0.66/0.76 | nil = sk3 ) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_11,negated_conjecture,
% 0.66/0.76 ( cons(sk5,nil) = sk3
% 0.66/0.76 | nil = sk4 ) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_12,negated_conjecture,
% 0.66/0.76 ( memberP(sk4,sk5)
% 0.66/0.76 | nil = sk4 ) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_13,negated_conjecture,
% 0.66/0.76 ( cons(sk5,nil) = sk3
% 0.66/0.76 | nil = sk3 ) ).
% 0.66/0.76
% 0.66/0.76 cnf(co1_14,negated_conjecture,
% 0.66/0.76 ( memberP(sk4,sk5)
% 0.66/0.76 | nil = sk3 ) ).
% 0.66/0.76
% 0.66/0.76 %--------------------------------------------------------------------------
% 0.66/0.76 %-------------------------------------------
% 0.66/0.76 % Proof found
% 0.66/0.76 % SZS status Theorem for theBenchmark
% 0.66/0.76 % SZS output start Proof
% 0.66/0.76 %ClaNum:284(EqnAxiom:85)
% 0.66/0.76 %VarNum:891(SingletonVarNum:322)
% 0.66/0.76 %MaxLitNum:10
% 0.66/0.76 %MaxfuncDepth:4
% 0.66/0.76 %SharedTerms:34
% 0.66/0.76 %goalClause: 86 87 96 97 98 99 138 147 148 149 150 151 152 153
% 0.66/0.76 %singleGoalClaCount:8
% 0.66/0.76 [86]E(a1,a2)
% 0.66/0.76 [87]E(a7,a8)
% 0.66/0.76 [88]P1(a3)
% 0.66/0.76 [89]P2(a3)
% 0.66/0.76 [90]P4(a3)
% 0.66/0.76 [91]P18(a3)
% 0.66/0.76 [92]P5(a3)
% 0.66/0.76 [93]P19(a3)
% 0.66/0.76 [94]P3(a3)
% 0.66/0.76 [95]P6(a3)
% 0.66/0.76 [96]P6(a2)
% 0.66/0.76 [97]P6(a7)
% 0.66/0.76 [98]P6(a1)
% 0.66/0.76 [99]P6(a8)
% 0.66/0.76 [100]P7(a9)
% 0.66/0.76 [101]P7(a10)
% 0.66/0.76 [138]P8(a7,a3)
% 0.66/0.76 [145]~E(a10,a9)
% 0.66/0.76 [146]~P15(a3)
% 0.66/0.76 [147]~P15(a2)
% 0.66/0.76 [102]P6(f12(x1021))
% 0.66/0.76 [103]P6(f13(x1031))
% 0.66/0.76 [104]P6(f14(x1041))
% 0.66/0.76 [105]P6(f15(x1051))
% 0.66/0.76 [106]P6(f16(x1061))
% 0.66/0.76 [107]P6(f17(x1071))
% 0.66/0.76 [108]P6(f18(x1081))
% 0.66/0.76 [109]P6(f19(x1091))
% 0.66/0.76 [110]P6(f20(x1101))
% 0.66/0.76 [111]P6(f21(x1111))
% 0.66/0.76 [112]P6(f22(x1121))
% 0.66/0.76 [113]P6(f23(x1131))
% 0.66/0.76 [114]P6(f24(x1141))
% 0.66/0.76 [115]P6(f25(x1151))
% 0.66/0.76 [116]P6(f26(x1161))
% 0.66/0.76 [117]P6(f27(x1171))
% 0.66/0.76 [118]P6(f28(x1181))
% 0.66/0.76 [119]P6(f29(x1191))
% 0.66/0.76 [120]P6(f30(x1201))
% 0.66/0.76 [121]P6(f31(x1211))
% 0.66/0.76 [122]P6(f32(x1221))
% 0.66/0.76 [123]P7(f53(x1231))
% 0.66/0.76 [124]P7(f51(x1241))
% 0.66/0.76 [125]P7(f52(x1251))
% 0.66/0.76 [126]P7(f50(x1261))
% 0.66/0.76 [127]P7(f48(x1271))
% 0.66/0.76 [128]P7(f49(x1281))
% 0.66/0.76 [129]P7(f46(x1291))
% 0.66/0.76 [130]P7(f47(x1301))
% 0.66/0.76 [131]P7(f44(x1311))
% 0.66/0.76 [132]P7(f45(x1321))
% 0.66/0.76 [133]P7(f42(x1331))
% 0.66/0.76 [134]P7(f43(x1341))
% 0.66/0.76 [135]P7(f33(x1351))
% 0.66/0.76 [136]P7(f34(x1361))
% 0.66/0.76 [137]P7(f35(x1371))
% 0.66/0.76 [139]P6(f38(x1391,x1392))
% 0.66/0.76 [140]P6(f39(x1401,x1402))
% 0.66/0.76 [141]P6(f40(x1411,x1412))
% 0.66/0.76 [142]P6(f41(x1421,x1422))
% 0.66/0.76 [143]P6(f36(x1431,x1432))
% 0.66/0.77 [144]P6(f37(x1441,x1442))
% 0.66/0.77 [148]E(a1,a3)+P7(a11)
% 0.66/0.77 [149]E(a3,a8)+P7(a11)
% 0.66/0.77 [152]E(a1,a3)+P9(a8,a11)
% 0.66/0.77 [153]E(a3,a8)+P9(a8,a11)
% 0.66/0.77 [150]E(a1,a3)+E(f4(a11,a3),a1)
% 0.66/0.77 [151]E(a3,a8)+E(f4(a11,a3),a1)
% 0.66/0.77 [159]~P6(x1591)+P16(x1591,a3)
% 0.66/0.77 [160]~P6(x1601)+P17(x1601,a3)
% 0.66/0.77 [161]~P6(x1611)+P10(x1611,a3)
% 0.66/0.77 [164]~P7(x1641)+P11(x1641,x1641)
% 0.66/0.77 [165]~P6(x1651)+P16(x1651,x1651)
% 0.66/0.77 [166]~P6(x1661)+P17(x1661,x1661)
% 0.66/0.77 [167]~P6(x1671)+P10(x1671,x1671)
% 0.66/0.77 [168]~P7(x1681)+P12(x1681,x1681)
% 0.66/0.77 [173]~P7(x1731)+~P9(a3,x1731)
% 0.66/0.77 [177]~P14(x1771,x1771)+~P7(x1771)
% 0.66/0.77 [162]~P6(x1621)+E(f5(x1621,a3),x1621)
% 0.66/0.77 [163]~P6(x1631)+E(f5(a3,x1631),x1631)
% 0.66/0.77 [182]~P7(x1821)+P1(f4(x1821,a3))
% 0.66/0.77 [183]~P7(x1831)+P2(f4(x1831,a3))
% 0.66/0.77 [184]~P7(x1841)+P4(f4(x1841,a3))
% 0.66/0.77 [185]~P7(x1851)+P18(f4(x1851,a3))
% 0.66/0.77 [186]~P7(x1861)+P5(f4(x1861,a3))
% 0.66/0.77 [187]~P7(x1871)+P19(f4(x1871,a3))
% 0.66/0.77 [188]~P7(x1881)+P3(f4(x1881,a3))
% 0.66/0.77 [169]~P6(x1691)+~E(a3,x1691)+P16(a3,x1691)
% 0.66/0.77 [170]~P6(x1701)+~E(a3,x1701)+P17(a3,x1701)
% 0.66/0.77 [171]~P6(x1711)+~E(a3,x1711)+P10(a3,x1711)
% 0.66/0.77 [174]~P6(x1741)+~P16(a3,x1741)+E(a3,x1741)
% 0.66/0.77 [175]~P6(x1751)+~P17(a3,x1751)+E(a3,x1751)
% 0.66/0.77 [176]~P6(x1761)+~P10(a3,x1761)+E(a3,x1761)
% 0.66/0.77 [156]~P6(x1561)+E(a3,x1561)+P6(f54(x1561))
% 0.66/0.77 [158]~P6(x1581)+E(a3,x1581)+P7(f6(x1581))
% 0.66/0.77 [172]~P6(x1721)+P1(x1721)+~E(f52(x1721),f51(x1721))
% 0.66/0.77 [193]~P6(x1931)+P3(x1931)+P12(f33(x1931),f34(x1931))
% 0.66/0.77 [194]~P6(x1941)+P3(x1941)+P12(f34(x1941),f33(x1941))
% 0.66/0.77 [214]~P6(x2141)+P4(x2141)+~P14(f49(x2141),f48(x2141))
% 0.66/0.77 [215]~P6(x2151)+P18(x2151)+~P12(f47(x2151),f46(x2151))
% 0.66/0.77 [216]~P6(x2161)+P5(x2161)+~P14(f44(x2161),f45(x2161))
% 0.66/0.77 [217]~P6(x2171)+P5(x2171)+~P14(f45(x2171),f44(x2171))
% 0.66/0.77 [218]~P6(x2181)+P19(x2181)+~P12(f42(x2181),f43(x2181))
% 0.66/0.77 [219]~P6(x2191)+P19(x2191)+~P12(f43(x2191),f42(x2191))
% 0.66/0.77 [181]~P6(x1811)+~P15(x1811)+E(f4(f35(x1811),a3),x1811)
% 0.66/0.77 [189]~P6(x1891)+E(a3,x1891)+E(f4(f53(x1891),f12(x1891)),x1891)
% 0.66/0.77 [190]~P6(x1901)+E(a3,x1901)+E(f4(f6(x1901),f54(x1901)),x1901)
% 0.66/0.77 [273]P2(x2731)+~P6(x2731)+E(f5(f5(f17(x2731),f4(f50(x2731),f16(x2731))),f4(f50(x2731),f15(x2731))),x2731)
% 0.66/0.77 [274]P4(x2741)+~P6(x2741)+E(f5(f5(f20(x2741),f4(f49(x2741),f19(x2741))),f4(f48(x2741),f18(x2741))),x2741)
% 0.66/0.77 [275]P18(x2751)+~P6(x2751)+E(f5(f5(f23(x2751),f4(f47(x2751),f22(x2751))),f4(f46(x2751),f21(x2751))),x2751)
% 0.66/0.77 [276]P5(x2761)+~P6(x2761)+E(f5(f5(f26(x2761),f4(f45(x2761),f25(x2761))),f4(f44(x2761),f24(x2761))),x2761)
% 0.66/0.77 [277]P19(x2771)+~P6(x2771)+E(f5(f5(f29(x2771),f4(f43(x2771),f28(x2771))),f4(f42(x2771),f27(x2771))),x2771)
% 0.66/0.77 [278]P3(x2781)+~P6(x2781)+E(f5(f5(f32(x2781),f4(f34(x2781),f31(x2781))),f4(f33(x2781),f30(x2781))),x2781)
% 0.66/0.77 [271]P1(x2711)+~P6(x2711)+E(f5(f14(x2711),f4(f52(x2711),f4(f51(x2711),f13(x2711)))),x2711)
% 0.66/0.77 [154]~P6(x1541)+P2(x1541)+P7(x1542)
% 0.66/0.77 [191]~P6(x1912)+~P7(x1911)+~E(f4(x1911,x1912),a3)
% 0.66/0.77 [192]~P6(x1922)+~P7(x1921)+~E(f4(x1921,x1922),x1922)
% 0.66/0.77 [201]~P6(x2012)+~P7(x2011)+P6(f4(x2011,x2012))
% 0.66/0.77 [202]~P6(x2021)+~P6(x2022)+P6(f5(x2021,x2022))
% 0.66/0.77 [203]~P6(x2032)+~P7(x2031)+E(f54(f4(x2031,x2032)),x2032)
% 0.66/0.77 [204]~P6(x2042)+~P7(x2041)+E(f6(f4(x2041,x2042)),x2041)
% 0.66/0.77 [231]~P6(x2312)+~P7(x2311)+E(f5(f4(x2311,a3),x2312),f4(x2311,x2312))
% 0.66/0.77 [178]P8(x1782,x1781)+~P6(x1782)+~P6(x1781)+E(x1781,x1782)
% 0.66/0.77 [179]P8(x1792,x1791)+~P7(x1792)+~P7(x1791)+E(x1791,x1792)
% 0.66/0.77 [198]~P6(x1982)+~P6(x1981)+~P8(x1981,x1982)+~E(x1981,x1982)
% 0.66/0.77 [199]~P7(x1992)+~P7(x1991)+~P14(x1991,x1992)+~E(x1991,x1992)
% 0.66/0.77 [200]~P7(x2002)+~P7(x2001)+~P8(x2001,x2002)+~E(x2001,x2002)
% 0.66/0.77 [209]~P7(x2091)+~P7(x2092)+~P12(x2092,x2091)+P11(x2091,x2092)
% 0.66/0.77 [210]~P7(x2101)+~P7(x2102)+~P11(x2102,x2101)+P12(x2101,x2102)
% 0.66/0.77 [211]~P7(x2112)+~P7(x2111)+~P14(x2111,x2112)+P12(x2111,x2112)
% 0.66/0.77 [212]~P7(x2121)+~P7(x2122)+~P13(x2122,x2121)+P14(x2121,x2122)
% 0.66/0.77 [213]~P7(x2131)+~P7(x2132)+~P14(x2132,x2131)+P13(x2131,x2132)
% 0.66/0.77 [222]~P14(x2221,x2222)+~P14(x2222,x2221)+~P7(x2221)+~P7(x2222)
% 0.66/0.77 [223]~P13(x2231,x2232)+~P13(x2232,x2231)+~P7(x2231)+~P7(x2232)
% 0.66/0.77 [195]~P6(x1951)+~P6(x1952)+E(a3,x1951)+~E(f5(x1952,x1951),a3)
% 0.66/0.77 [196]~P6(x1962)+~P6(x1961)+E(a3,x1961)+~E(f5(x1961,x1962),a3)
% 0.66/0.77 [197]~P6(x1971)+~P7(x1972)+P15(x1971)+~E(f4(x1972,a3),x1971)
% 0.66/0.77 [206]~P6(x2062)+~P7(x2061)+~E(a3,x2062)+P4(f4(x2061,x2062))
% 0.66/0.77 [207]~P6(x2072)+~P7(x2071)+~E(a3,x2072)+P18(f4(x2071,x2072))
% 0.66/0.77 [208]~P6(x2081)+~P6(x2082)+E(a3,x2081)+E(f6(f5(x2081,x2082)),f6(x2081))
% 0.66/0.77 [233]~P6(x2331)+~P6(x2332)+E(a3,x2331)+E(f54(f5(x2331,x2332)),f5(f54(x2331),x2332))
% 0.66/0.77 [240]~P6(x2401)+~P6(x2402)+~P10(x2402,x2401)+E(f5(x2401,f41(x2402,x2401)),x2402)
% 0.66/0.77 [241]~P6(x2412)+~P6(x2411)+~P17(x2411,x2412)+E(f5(f40(x2411,x2412),x2412),x2411)
% 0.66/0.77 [270]~P6(x2702)+~P6(x2701)+~P16(x2701,x2702)+E(f5(f5(f39(x2701,x2702),x2702),f38(x2702,x2701)),x2701)
% 0.66/0.77 [269]~P6(x2691)+~P7(x2692)+~P9(x2691,x2692)+E(f5(f37(x2691,x2692),f4(x2692,f36(x2692,x2691))),x2691)
% 0.66/0.77 [259]~P6(x2593)+~P6(x2592)+~P7(x2591)+E(f5(f4(x2591,x2592),x2593),f4(x2591,f5(x2592,x2593)))
% 0.66/0.77 [260]~P6(x2601)+~P6(x2602)+~P6(x2603)+E(f5(f5(x2601,x2602),x2603),f5(x2601,f5(x2602,x2603)))
% 0.66/0.77 [221]P14(x2211,x2212)+~P7(x2212)+~P7(x2211)+~P12(x2211,x2212)+E(x2211,x2212)
% 0.66/0.77 [226]~P6(x2262)+~P6(x2261)+~P16(x2262,x2261)+~P16(x2261,x2262)+E(x2261,x2262)
% 0.66/0.77 [227]~P6(x2272)+~P6(x2271)+~P17(x2272,x2271)+~P17(x2271,x2272)+E(x2271,x2272)
% 0.66/0.77 [228]~P6(x2282)+~P6(x2281)+~P10(x2282,x2281)+~P10(x2281,x2282)+E(x2281,x2282)
% 0.66/0.77 [229]~P7(x2292)+~P7(x2291)+~P11(x2292,x2291)+~P11(x2291,x2292)+E(x2291,x2292)
% 0.66/0.77 [230]~P7(x2302)+~P7(x2301)+~P12(x2302,x2301)+~P12(x2301,x2302)+E(x2301,x2302)
% 0.66/0.77 [180]~P6(x1802)+~P6(x1801)+~E(a3,x1802)+~E(a3,x1801)+E(f5(x1801,x1802),a3)
% 0.76/0.77 [236]P4(x2361)+~P6(x2361)+~P7(x2362)+E(a3,x2361)+~P4(f4(x2362,x2361))
% 0.76/0.77 [237]P18(x2371)+~P6(x2371)+~P7(x2372)+E(a3,x2371)+~P18(f4(x2372,x2371))
% 0.76/0.77 [250]~P6(x2501)+~P7(x2502)+E(a3,x2501)+P12(x2502,f6(x2501))+~P18(f4(x2502,x2501))
% 0.76/0.77 [251]~P6(x2511)+~P7(x2512)+E(a3,x2511)+P14(x2512,f6(x2511))+~P4(f4(x2512,x2511))
% 0.76/0.77 [224]~P6(x2241)+~P6(x2242)+~P6(x2243)+P17(x2241,x2242)+~E(f5(x2243,x2242),x2241)
% 0.76/0.77 [225]~P6(x2251)+~P6(x2253)+~P6(x2252)+P10(x2251,x2252)+~E(f5(x2252,x2253),x2251)
% 0.76/0.77 [232]~E(x2323,x2321)+~P6(x2322)+~P7(x2321)+~P7(x2323)+P9(f4(x2321,x2322),x2323)
% 0.76/0.77 [234]~P6(x2342)+~P6(x2341)+~P6(x2343)+E(x2341,x2342)+~E(f5(x2343,x2341),f5(x2343,x2342))
% 0.76/0.77 [235]~P6(x2352)+~P6(x2353)+~P6(x2351)+E(x2351,x2352)+~E(f5(x2351,x2353),f5(x2352,x2353))
% 0.76/0.77 [252]~P6(x2521)+~P6(x2523)+~P6(x2522)+~P17(x2522,x2523)+P17(f5(x2521,x2522),x2523)
% 0.76/0.77 [253]~P6(x2532)+~P6(x2533)+~P6(x2531)+~P10(x2531,x2533)+P10(f5(x2531,x2532),x2533)
% 0.76/0.77 [254]~P6(x2542)+~P7(x2541)+~P7(x2543)+~P9(x2542,x2543)+P9(f4(x2541,x2542),x2543)
% 0.76/0.77 [255]~P6(x2551)+~P6(x2552)+~P7(x2553)+~P9(x2552,x2553)+P9(f5(x2551,x2552),x2553)
% 0.76/0.77 [256]~P6(x2562)+~P6(x2561)+~P7(x2563)+~P9(x2561,x2563)+P9(f5(x2561,x2562),x2563)
% 0.76/0.77 [257]~P4(x2571)+~P6(x2571)+~P7(x2572)+~P14(x2572,f6(x2571))+E(a3,x2571)+P4(f4(x2572,x2571))
% 0.76/0.77 [258]~P18(x2581)+~P6(x2581)+~P7(x2582)+~P12(x2582,f6(x2581))+E(a3,x2581)+P18(f4(x2582,x2581))
% 0.76/0.77 [242]~P7(x2422)+~P7(x2421)+~P11(x2423,x2422)+~P11(x2421,x2423)+P11(x2421,x2422)+~P7(x2423)
% 0.76/0.77 [243]~P6(x2432)+~P6(x2431)+~P16(x2433,x2432)+~P16(x2431,x2433)+P16(x2431,x2432)+~P6(x2433)
% 0.76/0.77 [244]~P6(x2442)+~P6(x2441)+~P17(x2443,x2442)+~P17(x2441,x2443)+P17(x2441,x2442)+~P6(x2443)
% 0.76/0.77 [245]~P6(x2452)+~P6(x2451)+~P10(x2453,x2452)+~P10(x2451,x2453)+P10(x2451,x2452)+~P6(x2453)
% 0.76/0.77 [246]~P7(x2462)+~P7(x2461)+~P12(x2463,x2462)+~P12(x2461,x2463)+P12(x2461,x2462)+~P7(x2463)
% 0.76/0.77 [247]~P7(x2472)+~P7(x2471)+~P12(x2471,x2473)+~P14(x2473,x2472)+P14(x2471,x2472)+~P7(x2473)
% 0.76/0.77 [248]~P7(x2482)+~P7(x2481)+~P14(x2483,x2482)+~P14(x2481,x2483)+P14(x2481,x2482)+~P7(x2483)
% 0.76/0.77 [249]~P7(x2492)+~P7(x2491)+~P13(x2493,x2492)+~P13(x2491,x2493)+P13(x2491,x2492)+~P7(x2493)
% 0.76/0.77 [261]~P6(x2613)+~P7(x2612)+~P7(x2611)+E(x2611,x2612)+P9(x2613,x2612)+~P9(f4(x2611,x2613),x2612)
% 0.76/0.77 [264]~P6(x2641)+~P6(x2643)+~P7(x2642)+P9(x2641,x2642)+P9(x2643,x2642)+~P9(f5(x2643,x2641),x2642)
% 0.76/0.77 [238]~P6(x2382)+~P6(x2381)+~P7(x2384)+~P7(x2383)+E(x2381,x2382)+~E(f4(x2383,x2381),f4(x2384,x2382))
% 0.76/0.77 [239]~P6(x2394)+~P6(x2393)+~P7(x2392)+~P7(x2391)+E(x2391,x2392)+~E(f4(x2391,x2393),f4(x2392,x2394))
% 0.76/0.77 [266]~P7(x2662)+~P7(x2661)+E(x2661,x2662)+~P6(x2663)+~P6(x2664)+~P10(f4(x2661,x2664),f4(x2662,x2663))
% 0.76/0.77 [268]~P6(x2682)+~P6(x2681)+P10(x2681,x2682)+~P7(x2683)+~P7(x2684)+~P10(f4(x2684,x2681),f4(x2683,x2682))
% 0.76/0.77 [262]~P6(x2621)+~P6(x2624)+~P6(x2623)+~P7(x2622)+P9(x2621,x2622)+~E(f5(x2623,f4(x2622,x2624)),x2621)
% 0.76/0.77 [263]~P6(x2631)+~P6(x2634)+~P6(x2632)+~P6(x2633)+P16(x2631,x2632)+~E(f5(f5(x2633,x2632),x2634),x2631)
% 0.76/0.77 [267]~P6(x2671)+~P6(x2673)+~P6(x2674)+~P6(x2672)+~P16(x2672,x2674)+P16(f5(f5(x2671,x2672),x2673),x2674)
% 0.76/0.77 [205]~P6(x2052)+~P6(x2051)+E(x2051,x2052)+E(a3,x2052)+E(a3,x2051)+~E(f54(x2051),f54(x2052))+~E(f6(x2051),f6(x2052))
% 0.76/0.77 [265]~E(x2651,x2653)+~P6(x2654)+~P6(x2652)+~P7(x2653)+~P7(x2651)+~P10(x2652,x2654)+P10(f4(x2651,x2652),f4(x2653,x2654))
% 0.76/0.77 [279]~P2(x2795)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P6(x2791)+~P7(x2792)+~E(f5(f5(x2791,f4(x2792,x2793)),f4(x2792,x2794)),x2795)
% 0.76/0.77 [272]~P1(x2725)+~P6(x2725)+~P6(x2724)+~P6(x2723)+~P7(x2722)+~P7(x2721)+E(x2721,x2722)+~E(f5(x2723,f4(x2721,f4(x2722,x2724))),x2725)
% 0.76/0.77 [280]~P18(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2802)+~P7(x2801)+P12(x2801,x2802)+~E(f5(f5(x2803,f4(x2801,x2804)),f4(x2802,x2805)),x2806)
% 0.76/0.77 [281]~P4(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2812)+~P7(x2811)+P14(x2811,x2812)+~E(f5(f5(x2813,f4(x2811,x2814)),f4(x2812,x2815)),x2816)
% 0.76/0.77 [282]P12(x2822,x2821)+~P19(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2821)+~P7(x2822)+P12(x2821,x2822)+~E(f5(f5(x2823,f4(x2822,x2824)),f4(x2821,x2825)),x2826)
% 0.76/0.77 [283]P14(x2832,x2831)+~P5(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2834)+~P6(x2833)+~P7(x2831)+~P7(x2832)+P14(x2831,x2832)+~E(f5(f5(x2833,f4(x2832,x2834)),f4(x2831,x2835)),x2836)
% 0.76/0.77 [284]~P3(x2846)+~P6(x2846)+~P6(x2845)+~P6(x2843)+~P6(x2841)+~P7(x2844)+~P7(x2842)+~P12(x2844,x2842)+~P12(x2842,x2844)+~E(f5(f5(x2841,f4(x2842,x2843)),f4(x2844,x2845)),x2846)
% 0.76/0.77 %EqnAxiom
% 0.76/0.77 [1]E(x11,x11)
% 0.76/0.77 [2]E(x22,x21)+~E(x21,x22)
% 0.76/0.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.76/0.77 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.76/0.77 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.76/0.77 [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 0.76/0.77 [7]~E(x71,x72)+E(f15(x71),f15(x72))
% 0.76/0.77 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 0.76/0.77 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 0.76/0.77 [10]~E(x101,x102)+E(f18(x101),f18(x102))
% 0.76/0.77 [11]~E(x111,x112)+E(f19(x111),f19(x112))
% 0.76/0.77 [12]~E(x121,x122)+E(f20(x121),f20(x122))
% 0.76/0.77 [13]~E(x131,x132)+E(f21(x131),f21(x132))
% 0.76/0.77 [14]~E(x141,x142)+E(f22(x141),f22(x142))
% 0.76/0.77 [15]~E(x151,x152)+E(f23(x151),f23(x152))
% 0.76/0.77 [16]~E(x161,x162)+E(f24(x161),f24(x162))
% 0.76/0.77 [17]~E(x171,x172)+E(f25(x171),f25(x172))
% 0.76/0.77 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 0.76/0.77 [19]~E(x191,x192)+E(f27(x191),f27(x192))
% 0.76/0.77 [20]~E(x201,x202)+E(f28(x201),f28(x202))
% 0.76/0.77 [21]~E(x211,x212)+E(f29(x211),f29(x212))
% 0.76/0.77 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 0.76/0.77 [23]~E(x231,x232)+E(f31(x231),f31(x232))
% 0.76/0.77 [24]~E(x241,x242)+E(f32(x241),f32(x242))
% 0.76/0.77 [25]~E(x251,x252)+E(f53(x251),f53(x252))
% 0.76/0.77 [26]~E(x261,x262)+E(f51(x261),f51(x262))
% 0.76/0.77 [27]~E(x271,x272)+E(f52(x271),f52(x272))
% 0.76/0.77 [28]~E(x281,x282)+E(f50(x281),f50(x282))
% 0.76/0.77 [29]~E(x291,x292)+E(f48(x291),f48(x292))
% 0.76/0.77 [30]~E(x301,x302)+E(f49(x301),f49(x302))
% 0.76/0.77 [31]~E(x311,x312)+E(f46(x311),f46(x312))
% 0.76/0.77 [32]~E(x321,x322)+E(f47(x321),f47(x322))
% 0.76/0.77 [33]~E(x331,x332)+E(f44(x331),f44(x332))
% 0.76/0.77 [34]~E(x341,x342)+E(f45(x341),f45(x342))
% 0.76/0.77 [35]~E(x351,x352)+E(f42(x351),f42(x352))
% 0.76/0.77 [36]~E(x361,x362)+E(f43(x361),f43(x362))
% 0.76/0.77 [37]~E(x371,x372)+E(f33(x371),f33(x372))
% 0.76/0.77 [38]~E(x381,x382)+E(f34(x381),f34(x382))
% 0.76/0.77 [39]~E(x391,x392)+E(f35(x391),f35(x392))
% 0.76/0.77 [40]~E(x401,x402)+E(f38(x401,x403),f38(x402,x403))
% 0.76/0.77 [41]~E(x411,x412)+E(f38(x413,x411),f38(x413,x412))
% 0.76/0.77 [42]~E(x421,x422)+E(f39(x421,x423),f39(x422,x423))
% 0.76/0.77 [43]~E(x431,x432)+E(f39(x433,x431),f39(x433,x432))
% 0.76/0.77 [44]~E(x441,x442)+E(f40(x441,x443),f40(x442,x443))
% 0.76/0.77 [45]~E(x451,x452)+E(f40(x453,x451),f40(x453,x452))
% 0.76/0.77 [46]~E(x461,x462)+E(f41(x461,x463),f41(x462,x463))
% 0.76/0.77 [47]~E(x471,x472)+E(f41(x473,x471),f41(x473,x472))
% 0.76/0.77 [48]~E(x481,x482)+E(f36(x481,x483),f36(x482,x483))
% 0.76/0.77 [49]~E(x491,x492)+E(f36(x493,x491),f36(x493,x492))
% 0.76/0.77 [50]~E(x501,x502)+E(f37(x501,x503),f37(x502,x503))
% 0.76/0.77 [51]~E(x511,x512)+E(f37(x513,x511),f37(x513,x512))
% 0.76/0.77 [52]~E(x521,x522)+E(f4(x521,x523),f4(x522,x523))
% 0.76/0.77 [53]~E(x531,x532)+E(f4(x533,x531),f4(x533,x532))
% 0.76/0.77 [54]~E(x541,x542)+E(f5(x541,x543),f5(x542,x543))
% 0.76/0.77 [55]~E(x551,x552)+E(f5(x553,x551),f5(x553,x552))
% 0.76/0.77 [56]~E(x561,x562)+E(f54(x561),f54(x562))
% 0.76/0.77 [57]~E(x571,x572)+E(f6(x571),f6(x572))
% 0.76/0.77 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.76/0.77 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.76/0.77 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.76/0.77 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.76/0.77 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.76/0.77 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.76/0.77 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.76/0.77 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.76/0.77 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.76/0.77 [67]P12(x672,x673)+~E(x671,x672)+~P12(x671,x673)
% 0.76/0.77 [68]P12(x683,x682)+~E(x681,x682)+~P12(x683,x681)
% 0.76/0.77 [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 0.76/0.77 [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 0.76/0.77 [71]P10(x712,x713)+~E(x711,x712)+~P10(x711,x713)
% 0.76/0.77 [72]P10(x723,x722)+~E(x721,x722)+~P10(x723,x721)
% 0.76/0.77 [73]P13(x732,x733)+~E(x731,x732)+~P13(x731,x733)
% 0.76/0.77 [74]P13(x743,x742)+~E(x741,x742)+~P13(x743,x741)
% 0.76/0.77 [75]P9(x752,x753)+~E(x751,x752)+~P9(x751,x753)
% 0.76/0.77 [76]P9(x763,x762)+~E(x761,x762)+~P9(x763,x761)
% 0.76/0.77 [77]P11(x772,x773)+~E(x771,x772)+~P11(x771,x773)
% 0.76/0.77 [78]P11(x783,x782)+~E(x781,x782)+~P11(x783,x781)
% 0.76/0.77 [79]~P15(x791)+P15(x792)+~E(x791,x792)
% 0.76/0.77 [80]P17(x802,x803)+~E(x801,x802)+~P17(x801,x803)
% 0.76/0.77 [81]P17(x813,x812)+~E(x811,x812)+~P17(x813,x811)
% 0.76/0.77 [82]P16(x822,x823)+~E(x821,x822)+~P16(x821,x823)
% 0.76/0.77 [83]P16(x833,x832)+~E(x831,x832)+~P16(x833,x831)
% 0.76/0.77 [84]P8(x842,x843)+~E(x841,x842)+~P8(x841,x843)
% 0.76/0.77 [85]P8(x853,x852)+~E(x851,x852)+~P8(x853,x851)
% 0.76/0.77
% 0.76/0.77 %-------------------------------------------
% 0.76/0.77 cnf(289,plain,
% 0.76/0.77 (~P8(x2891,x2891)+~P6(x2891)+~P6(x2891)),
% 0.76/0.77 inference(equality_inference,[],[198])).
% 0.76/0.77 cnf(291,plain,
% 0.76/0.77 (~P8(x2911,x2911)+~P7(x2911)+~P7(x2911)),
% 0.76/0.77 inference(equality_inference,[],[200])).
% 0.76/0.77 cnf(318,plain,
% 0.76/0.77 (~P15(a1)),
% 0.76/0.77 inference(scs_inference,[],[86,96,147,100,2,177,289,291,79])).
% 0.76/0.77 cnf(345,plain,
% 0.76/0.77 (E(a8,a7)),
% 0.76/0.77 inference(scs_inference,[],[87,101,177,2])).
% 0.76/0.77 cnf(365,plain,
% 0.76/0.77 (~E(a3,a8)),
% 0.76/0.77 inference(scs_inference,[],[138,97,345,123,177,289,291,85,3])).
% 0.76/0.77 cnf(372,plain,
% 0.76/0.77 (P7(a11)),
% 0.76/0.77 inference(scs_inference,[],[365,149])).
% 0.76/0.77 cnf(373,plain,
% 0.76/0.77 (E(f4(a11,a3),a1)),
% 0.76/0.77 inference(scs_inference,[],[365,151])).
% 0.76/0.77 cnf(374,plain,
% 0.76/0.77 (P9(a8,a11)),
% 0.76/0.77 inference(scs_inference,[],[365,153])).
% 0.76/0.77 cnf(396,plain,
% 0.76/0.77 ($false),
% 0.76/0.77 inference(scs_inference,[],[86,374,372,373,98,345,318,102,2,177,75,65,289,3,291,79,197]),
% 0.76/0.77 ['proof']).
% 0.76/0.77 % SZS output end Proof
% 0.76/0.77 % Total time :0.120000s
%------------------------------------------------------------------------------