%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC086-1 : 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 : n021.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 16:13:55 EDT 2024
% Result : Unsatisfiable 0.54s 0.82s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC086-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 20 02:59:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.54/0.57 start to proof:theBenchmark
% 0.54/0.81 %-------------------------------------------
% 0.54/0.81 % File :CSE---1.7
% 0.54/0.81 % Problem :theBenchmark
% 0.54/0.81 % Transform :cnf
% 0.54/0.81 % Format :tptp:raw
% 0.54/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.81
% 0.54/0.81 % Result :Theorem 0.170000s
% 0.54/0.81 % Output :CNFRefutation 0.170000s
% 0.54/0.81 %-------------------------------------------
% 0.54/0.81 %--------------------------------------------------------------------------
% 0.54/0.81 % File : SWC086-1 : TPTP v8.2.0. Released v2.4.0.
% 0.54/0.81 % Domain : Software Creation
% 0.54/0.81 % Problem : cond_id_segment_x_ne_segment_total2
% 0.54/0.81 % Version : [Wei00] axioms.
% 0.54/0.81 % English : Find components in a software library that match a given target
% 0.54/0.81 % specification given in first-order logic. The components are
% 0.54/0.81 % specified in first-order logic as well. The problem represents
% 0.54/0.81 % a test of one library module specification against a target
% 0.54/0.81 % specification.
% 0.54/0.81
% 0.54/0.81 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.54/0.81 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.54/0.81 % Source : [TPTP]
% 0.54/0.81 % Names :
% 0.54/0.81
% 0.54/0.81 % Status : Unsatisfiable
% 0.54/0.81 % 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, 0.29 v6.0.0, 0.10 v5.5.0, 0.45 v5.3.0, 0.33 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.36 v4.1.0, 0.23 v4.0.1, 0.27 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.36 v2.7.0, 0.42 v2.6.0, 0.33 v2.5.0, 0.22 v2.4.0
% 0.54/0.81 % Syntax : Number of clauses : 197 ( 61 unt; 37 nHn; 154 RR)
% 0.54/0.81 % Number of literals : 623 ( 104 equ; 402 neg)
% 0.54/0.81 % Maximal clause size : 10 ( 3 avg)
% 0.54/0.81 % Maximal term depth : 5 ( 1 avg)
% 0.54/0.81 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.54/0.81 % Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% 0.54/0.81 % Number of variables : 327 ( 49 sgn)
% 0.54/0.81 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.81
% 0.54/0.81 % Comments : Created by CNF conversion from SWC086+1
% 0.54/0.81 %--------------------------------------------------------------------------
% 0.54/0.81 %----Include list specification axioms
% 0.54/0.81 include('Axioms/SWC001-0.ax').
% 0.54/0.81 %--------------------------------------------------------------------------
% 0.54/0.81 cnf(co1_1,negated_conjecture,
% 0.54/0.81 ssList(sk1) ).
% 0.54/0.81
% 0.54/0.81 cnf(co1_2,negated_conjecture,
% 0.54/0.81 ssList(sk2) ).
% 0.54/0.81
% 0.54/0.81 cnf(co1_3,negated_conjecture,
% 0.54/0.81 ssList(sk3) ).
% 0.54/0.81
% 0.54/0.81 cnf(co1_4,negated_conjecture,
% 0.54/0.81 ssList(sk4) ).
% 0.54/0.81
% 0.54/0.82 cnf(co1_5,negated_conjecture,
% 0.54/0.82 sk2 = sk4 ).
% 0.54/0.82
% 0.54/0.82 cnf(co1_6,negated_conjecture,
% 0.54/0.82 sk1 = sk3 ).
% 0.54/0.82
% 0.54/0.82 cnf(co1_7,negated_conjecture,
% 0.54/0.82 neq(sk2,nil) ).
% 0.54/0.82
% 0.54/0.82 cnf(co1_8,negated_conjecture,
% 0.54/0.82 ( ~ ssList(A)
% 0.54/0.82 | ~ neq(A,nil)
% 0.54/0.82 | ~ segmentP(sk2,A)
% 0.54/0.82 | ~ segmentP(sk1,A) ) ).
% 0.54/0.82
% 0.54/0.82 cnf(co1_9,negated_conjecture,
% 0.54/0.82 ( nil = sk4
% 0.54/0.82 | neq(sk3,nil) ) ).
% 0.54/0.82
% 0.54/0.82 cnf(co1_10,negated_conjecture,
% 0.54/0.82 ( nil = sk4
% 0.54/0.82 | segmentP(sk4,sk3) ) ).
% 0.54/0.82
% 0.54/0.82 cnf(co1_11,negated_conjecture,
% 0.54/0.82 ( nil = sk3
% 0.54/0.82 | neq(sk3,nil) ) ).
% 0.54/0.82
% 0.54/0.82 cnf(co1_12,negated_conjecture,
% 0.54/0.82 ( nil = sk3
% 0.54/0.82 | segmentP(sk4,sk3) ) ).
% 0.54/0.82
% 0.54/0.82 %--------------------------------------------------------------------------
% 0.54/0.82 %-------------------------------------------
% 0.54/0.82 % Proof found
% 0.54/0.82 % SZS status Theorem for theBenchmark
% 0.54/0.82 % SZS output start Proof
% 0.54/0.82 %ClaNum:282(EqnAxiom:85)
% 0.54/0.82 %VarNum:895(SingletonVarNum:323)
% 0.54/0.82 %MaxLitNum:10
% 0.54/0.82 %MaxfuncDepth:4
% 0.54/0.82 %SharedTerms:30
% 0.54/0.82 %goalClause: 86 87 96 97 98 99 138 147 148 149 150 233
% 0.54/0.82 %singleGoalClaCount:7
% 0.54/0.82 [86]E(a1,a2)
% 0.54/0.82 [87]E(a7,a8)
% 0.54/0.82 [88]P1(a3)
% 0.54/0.82 [89]P2(a3)
% 0.54/0.82 [90]P4(a3)
% 0.54/0.82 [91]P18(a3)
% 0.54/0.82 [92]P5(a3)
% 0.54/0.82 [93]P19(a3)
% 0.54/0.82 [94]P3(a3)
% 0.54/0.82 [95]P6(a3)
% 0.54/0.82 [96]P6(a2)
% 0.54/0.82 [97]P6(a7)
% 0.54/0.82 [98]P6(a1)
% 0.54/0.82 [99]P6(a8)
% 0.54/0.82 [100]P7(a9)
% 0.54/0.82 [101]P7(a10)
% 0.54/0.82 [138]P8(a7,a3)
% 0.54/0.82 [145]~E(a10,a9)
% 0.54/0.82 [146]~P15(a3)
% 0.54/0.82 [102]P6(f11(x1021))
% 0.54/0.82 [103]P6(f12(x1031))
% 0.54/0.82 [104]P6(f13(x1041))
% 0.54/0.82 [105]P6(f14(x1051))
% 0.54/0.82 [106]P6(f15(x1061))
% 0.54/0.82 [107]P6(f16(x1071))
% 0.54/0.82 [108]P6(f17(x1081))
% 0.54/0.82 [109]P6(f18(x1091))
% 0.54/0.82 [110]P6(f19(x1101))
% 0.54/0.82 [111]P6(f20(x1111))
% 0.54/0.82 [112]P6(f21(x1121))
% 0.54/0.82 [113]P6(f22(x1131))
% 0.54/0.82 [114]P6(f23(x1141))
% 0.54/0.82 [115]P6(f24(x1151))
% 0.54/0.82 [116]P6(f25(x1161))
% 0.54/0.82 [117]P6(f26(x1171))
% 0.54/0.82 [118]P6(f27(x1181))
% 0.54/0.82 [119]P6(f28(x1191))
% 0.54/0.82 [120]P6(f29(x1201))
% 0.54/0.82 [121]P6(f30(x1211))
% 0.54/0.82 [122]P6(f31(x1221))
% 0.54/0.82 [123]P7(f52(x1231))
% 0.54/0.82 [124]P7(f50(x1241))
% 0.54/0.82 [125]P7(f51(x1251))
% 0.54/0.82 [126]P7(f49(x1261))
% 0.54/0.82 [127]P7(f47(x1271))
% 0.54/0.82 [128]P7(f48(x1281))
% 0.54/0.82 [129]P7(f45(x1291))
% 0.54/0.82 [130]P7(f46(x1301))
% 0.54/0.82 [131]P7(f43(x1311))
% 0.54/0.82 [132]P7(f44(x1321))
% 0.54/0.82 [133]P7(f41(x1331))
% 0.54/0.82 [134]P7(f42(x1341))
% 0.54/0.82 [135]P7(f32(x1351))
% 0.54/0.82 [136]P7(f33(x1361))
% 0.54/0.82 [137]P7(f34(x1371))
% 0.54/0.82 [139]P6(f37(x1391,x1392))
% 0.54/0.82 [140]P6(f38(x1401,x1402))
% 0.54/0.82 [141]P6(f39(x1411,x1412))
% 0.54/0.82 [142]P6(f40(x1421,x1422))
% 0.54/0.82 [143]P6(f35(x1431,x1432))
% 0.54/0.82 [144]P6(f36(x1441,x1442))
% 0.54/0.82 [147]E(a1,a3)+P16(a8,a1)
% 0.54/0.82 [148]E(a1,a3)+P8(a1,a3)
% 0.54/0.82 [149]P16(a8,a1)+E(a3,a8)
% 0.54/0.82 [150]E(a3,a8)+P8(a1,a3)
% 0.54/0.82 [156]~P6(x1561)+P16(x1561,a3)
% 0.54/0.82 [157]~P6(x1571)+P17(x1571,a3)
% 0.54/0.82 [158]~P6(x1581)+P9(x1581,a3)
% 0.54/0.82 [161]~P7(x1611)+P10(x1611,x1611)
% 0.54/0.82 [162]~P6(x1621)+P16(x1621,x1621)
% 0.54/0.82 [163]~P6(x1631)+P17(x1631,x1631)
% 0.54/0.82 [164]~P6(x1641)+P9(x1641,x1641)
% 0.54/0.82 [165]~P7(x1651)+P11(x1651,x1651)
% 0.54/0.82 [170]~P7(x1701)+~P13(a3,x1701)
% 0.54/0.82 [174]~P14(x1741,x1741)+~P7(x1741)
% 0.54/0.82 [159]~P6(x1591)+E(f5(x1591,a3),x1591)
% 0.54/0.82 [160]~P6(x1601)+E(f5(a3,x1601),x1601)
% 0.54/0.82 [179]~P7(x1791)+P1(f6(x1791,a3))
% 0.54/0.82 [180]~P7(x1801)+P2(f6(x1801,a3))
% 0.54/0.82 [181]~P7(x1811)+P4(f6(x1811,a3))
% 0.54/0.82 [182]~P7(x1821)+P18(f6(x1821,a3))
% 0.54/0.82 [183]~P7(x1831)+P5(f6(x1831,a3))
% 0.54/0.82 [184]~P7(x1841)+P19(f6(x1841,a3))
% 0.54/0.82 [185]~P7(x1851)+P3(f6(x1851,a3))
% 0.54/0.82 [166]~P6(x1661)+~E(a3,x1661)+P16(a3,x1661)
% 0.54/0.82 [167]~P6(x1671)+~E(a3,x1671)+P17(a3,x1671)
% 0.54/0.82 [168]~P6(x1681)+~E(a3,x1681)+P9(a3,x1681)
% 0.54/0.82 [171]~P6(x1711)+~P16(a3,x1711)+E(a3,x1711)
% 0.54/0.82 [172]~P6(x1721)+~P17(a3,x1721)+E(a3,x1721)
% 0.54/0.82 [173]~P6(x1731)+~P9(a3,x1731)+E(a3,x1731)
% 0.54/0.82 [153]~P6(x1531)+E(a3,x1531)+P6(f53(x1531))
% 0.54/0.82 [155]~P6(x1551)+E(a3,x1551)+P7(f4(x1551))
% 0.54/0.82 [169]~P6(x1691)+P1(x1691)+~E(f51(x1691),f50(x1691))
% 0.54/0.82 [190]~P6(x1901)+P3(x1901)+P11(f32(x1901),f33(x1901))
% 0.54/0.82 [191]~P6(x1911)+P3(x1911)+P11(f33(x1911),f32(x1911))
% 0.54/0.82 [211]~P6(x2111)+P4(x2111)+~P14(f48(x2111),f47(x2111))
% 0.54/0.82 [212]~P6(x2121)+P18(x2121)+~P11(f46(x2121),f45(x2121))
% 0.54/0.82 [213]~P6(x2131)+P5(x2131)+~P14(f43(x2131),f44(x2131))
% 0.54/0.82 [214]~P6(x2141)+P5(x2141)+~P14(f44(x2141),f43(x2141))
% 0.54/0.82 [215]~P6(x2151)+P19(x2151)+~P11(f41(x2151),f42(x2151))
% 0.54/0.82 [216]~P6(x2161)+P19(x2161)+~P11(f42(x2161),f41(x2161))
% 0.54/0.82 [178]~P6(x1781)+~P15(x1781)+E(f6(f34(x1781),a3),x1781)
% 0.54/0.82 [186]~P6(x1861)+E(a3,x1861)+E(f6(f52(x1861),f11(x1861)),x1861)
% 0.54/0.82 [187]~P6(x1871)+E(a3,x1871)+E(f6(f4(x1871),f53(x1871)),x1871)
% 0.54/0.82 [271]P2(x2711)+~P6(x2711)+E(f5(f5(f16(x2711),f6(f49(x2711),f15(x2711))),f6(f49(x2711),f14(x2711))),x2711)
% 0.54/0.82 [272]P4(x2721)+~P6(x2721)+E(f5(f5(f19(x2721),f6(f48(x2721),f18(x2721))),f6(f47(x2721),f17(x2721))),x2721)
% 0.54/0.82 [273]P18(x2731)+~P6(x2731)+E(f5(f5(f22(x2731),f6(f46(x2731),f21(x2731))),f6(f45(x2731),f20(x2731))),x2731)
% 0.54/0.82 [274]P5(x2741)+~P6(x2741)+E(f5(f5(f25(x2741),f6(f44(x2741),f24(x2741))),f6(f43(x2741),f23(x2741))),x2741)
% 0.54/0.82 [275]P19(x2751)+~P6(x2751)+E(f5(f5(f28(x2751),f6(f42(x2751),f27(x2751))),f6(f41(x2751),f26(x2751))),x2751)
% 0.54/0.82 [276]P3(x2761)+~P6(x2761)+E(f5(f5(f31(x2761),f6(f33(x2761),f30(x2761))),f6(f32(x2761),f29(x2761))),x2761)
% 0.54/0.82 [269]P1(x2691)+~P6(x2691)+E(f5(f13(x2691),f6(f51(x2691),f6(f50(x2691),f12(x2691)))),x2691)
% 0.54/0.82 [151]~P6(x1511)+P2(x1511)+P7(x1512)
% 0.54/0.82 [188]~P6(x1882)+~P7(x1881)+~E(f6(x1881,x1882),a3)
% 0.54/0.82 [189]~P6(x1892)+~P7(x1891)+~E(f6(x1891,x1892),x1892)
% 0.54/0.82 [198]~P6(x1982)+~P7(x1981)+P6(f6(x1981,x1982))
% 0.54/0.82 [199]~P6(x1991)+~P6(x1992)+P6(f5(x1991,x1992))
% 0.54/0.82 [200]~P6(x2002)+~P7(x2001)+E(f53(f6(x2001,x2002)),x2002)
% 0.54/0.82 [201]~P6(x2012)+~P7(x2011)+E(f4(f6(x2011,x2012)),x2011)
% 0.54/0.82 [228]~P6(x2282)+~P7(x2281)+E(f5(f6(x2281,a3),x2282),f6(x2281,x2282))
% 0.54/0.82 [233]~P6(x2331)+~P8(x2331,a3)+~P16(a2,x2331)+~P16(a7,x2331)
% 0.54/0.82 [175]P8(x1752,x1751)+~P6(x1752)+~P6(x1751)+E(x1751,x1752)
% 0.54/0.82 [176]P8(x1762,x1761)+~P7(x1762)+~P7(x1761)+E(x1761,x1762)
% 0.54/0.82 [195]~P6(x1952)+~P6(x1951)+~P8(x1951,x1952)+~E(x1951,x1952)
% 0.54/0.82 [196]~P7(x1962)+~P7(x1961)+~P14(x1961,x1962)+~E(x1961,x1962)
% 0.54/0.82 [197]~P7(x1972)+~P7(x1971)+~P8(x1971,x1972)+~E(x1971,x1972)
% 0.54/0.82 [206]~P7(x2061)+~P7(x2062)+~P11(x2062,x2061)+P10(x2061,x2062)
% 0.54/0.82 [207]~P7(x2071)+~P7(x2072)+~P10(x2072,x2071)+P11(x2071,x2072)
% 0.54/0.82 [208]~P7(x2082)+~P7(x2081)+~P14(x2081,x2082)+P11(x2081,x2082)
% 0.54/0.82 [209]~P7(x2091)+~P7(x2092)+~P12(x2092,x2091)+P14(x2091,x2092)
% 0.54/0.82 [210]~P7(x2101)+~P7(x2102)+~P14(x2102,x2101)+P12(x2101,x2102)
% 0.54/0.82 [219]~P14(x2191,x2192)+~P14(x2192,x2191)+~P7(x2191)+~P7(x2192)
% 0.54/0.82 [220]~P12(x2201,x2202)+~P12(x2202,x2201)+~P7(x2201)+~P7(x2202)
% 0.54/0.82 [192]~P6(x1921)+~P6(x1922)+E(a3,x1921)+~E(f5(x1922,x1921),a3)
% 0.54/0.82 [193]~P6(x1932)+~P6(x1931)+E(a3,x1931)+~E(f5(x1931,x1932),a3)
% 0.54/0.82 [194]~P6(x1941)+~P7(x1942)+P15(x1941)+~E(f6(x1942,a3),x1941)
% 0.54/0.82 [203]~P6(x2032)+~P7(x2031)+~E(a3,x2032)+P4(f6(x2031,x2032))
% 0.54/0.82 [204]~P6(x2042)+~P7(x2041)+~E(a3,x2042)+P18(f6(x2041,x2042))
% 0.54/0.82 [205]~P6(x2051)+~P6(x2052)+E(a3,x2051)+E(f4(f5(x2051,x2052)),f4(x2051))
% 0.54/0.82 [230]~P6(x2301)+~P6(x2302)+E(a3,x2301)+E(f53(f5(x2301,x2302)),f5(f53(x2301),x2302))
% 0.54/0.82 [238]~P6(x2381)+~P6(x2382)+~P9(x2382,x2381)+E(f5(x2381,f40(x2382,x2381)),x2382)
% 0.54/0.82 [239]~P6(x2392)+~P6(x2391)+~P17(x2391,x2392)+E(f5(f39(x2391,x2392),x2392),x2391)
% 0.54/0.82 [268]~P6(x2682)+~P6(x2681)+~P16(x2681,x2682)+E(f5(f5(f38(x2681,x2682),x2682),f37(x2682,x2681)),x2681)
% 0.54/0.82 [267]~P6(x2671)+~P7(x2672)+~P13(x2671,x2672)+E(f5(f36(x2671,x2672),f6(x2672,f35(x2672,x2671))),x2671)
% 0.54/0.82 [257]~P6(x2573)+~P6(x2572)+~P7(x2571)+E(f6(x2571,f5(x2572,x2573)),f5(f6(x2571,x2572),x2573))
% 0.54/0.82 [258]~P6(x2581)+~P6(x2582)+~P6(x2583)+E(f5(f5(x2581,x2582),x2583),f5(x2581,f5(x2582,x2583)))
% 0.54/0.82 [218]P14(x2181,x2182)+~P7(x2182)+~P7(x2181)+~P11(x2181,x2182)+E(x2181,x2182)
% 0.54/0.82 [223]~P6(x2232)+~P6(x2231)+~P16(x2232,x2231)+~P16(x2231,x2232)+E(x2231,x2232)
% 0.54/0.82 [224]~P6(x2242)+~P6(x2241)+~P17(x2242,x2241)+~P17(x2241,x2242)+E(x2241,x2242)
% 0.54/0.82 [225]~P6(x2252)+~P6(x2251)+~P9(x2252,x2251)+~P9(x2251,x2252)+E(x2251,x2252)
% 0.54/0.82 [226]~P7(x2262)+~P7(x2261)+~P10(x2262,x2261)+~P10(x2261,x2262)+E(x2261,x2262)
% 0.54/0.82 [227]~P7(x2272)+~P7(x2271)+~P11(x2272,x2271)+~P11(x2271,x2272)+E(x2271,x2272)
% 0.54/0.82 [177]~P6(x1772)+~P6(x1771)+~E(a3,x1772)+~E(a3,x1771)+E(f5(x1771,x1772),a3)
% 0.54/0.82 [234]P4(x2341)+~P6(x2341)+~P7(x2342)+E(a3,x2341)+~P4(f6(x2342,x2341))
% 0.54/0.82 [235]P18(x2351)+~P6(x2351)+~P7(x2352)+E(a3,x2351)+~P18(f6(x2352,x2351))
% 0.54/0.82 [248]~P6(x2481)+~P7(x2482)+E(a3,x2481)+P11(x2482,f4(x2481))+~P18(f6(x2482,x2481))
% 0.54/0.82 [249]~P6(x2491)+~P7(x2492)+E(a3,x2491)+P14(x2492,f4(x2491))+~P4(f6(x2492,x2491))
% 0.54/0.82 [221]~P6(x2211)+~P6(x2212)+~P6(x2213)+P17(x2211,x2212)+~E(f5(x2213,x2212),x2211)
% 0.54/0.82 [222]~P6(x2221)+~P6(x2223)+~P6(x2222)+P9(x2221,x2222)+~E(f5(x2222,x2223),x2221)
% 0.54/0.82 [229]~E(x2293,x2291)+~P6(x2292)+~P7(x2291)+~P7(x2293)+P13(f6(x2291,x2292),x2293)
% 0.54/0.82 [231]~P6(x2312)+~P6(x2311)+~P6(x2313)+E(x2311,x2312)+~E(f5(x2313,x2311),f5(x2313,x2312))
% 0.54/0.82 [232]~P6(x2322)+~P6(x2323)+~P6(x2321)+E(x2321,x2322)+~E(f5(x2321,x2323),f5(x2322,x2323))
% 0.54/0.82 [250]~P6(x2501)+~P6(x2503)+~P6(x2502)+~P17(x2502,x2503)+P17(f5(x2501,x2502),x2503)
% 0.54/0.82 [251]~P6(x2512)+~P6(x2513)+~P6(x2511)+~P9(x2511,x2513)+P9(f5(x2511,x2512),x2513)
% 0.54/0.82 [252]~P6(x2522)+~P7(x2521)+~P7(x2523)+~P13(x2522,x2523)+P13(f6(x2521,x2522),x2523)
% 0.54/0.82 [253]~P6(x2531)+~P6(x2532)+~P7(x2533)+~P13(x2532,x2533)+P13(f5(x2531,x2532),x2533)
% 0.54/0.82 [254]~P6(x2542)+~P6(x2541)+~P7(x2543)+~P13(x2541,x2543)+P13(f5(x2541,x2542),x2543)
% 0.54/0.82 [255]~P4(x2551)+~P6(x2551)+~P7(x2552)+~P14(x2552,f4(x2551))+E(a3,x2551)+P4(f6(x2552,x2551))
% 0.54/0.82 [256]~P18(x2561)+~P6(x2561)+~P7(x2562)+~P11(x2562,f4(x2561))+E(a3,x2561)+P18(f6(x2562,x2561))
% 0.54/0.82 [240]~P7(x2402)+~P7(x2401)+~P10(x2403,x2402)+~P10(x2401,x2403)+P10(x2401,x2402)+~P7(x2403)
% 0.54/0.82 [241]~P6(x2412)+~P6(x2411)+~P16(x2413,x2412)+~P16(x2411,x2413)+P16(x2411,x2412)+~P6(x2413)
% 0.54/0.82 [242]~P6(x2422)+~P6(x2421)+~P17(x2423,x2422)+~P17(x2421,x2423)+P17(x2421,x2422)+~P6(x2423)
% 0.54/0.83 [243]~P6(x2432)+~P6(x2431)+~P9(x2433,x2432)+~P9(x2431,x2433)+P9(x2431,x2432)+~P6(x2433)
% 0.54/0.83 [244]~P7(x2442)+~P7(x2441)+~P11(x2443,x2442)+~P11(x2441,x2443)+P11(x2441,x2442)+~P7(x2443)
% 0.54/0.83 [245]~P7(x2452)+~P7(x2451)+~P11(x2451,x2453)+~P14(x2453,x2452)+P14(x2451,x2452)+~P7(x2453)
% 0.54/0.83 [246]~P7(x2462)+~P7(x2461)+~P14(x2463,x2462)+~P14(x2461,x2463)+P14(x2461,x2462)+~P7(x2463)
% 0.54/0.83 [247]~P7(x2472)+~P7(x2471)+~P12(x2473,x2472)+~P12(x2471,x2473)+P12(x2471,x2472)+~P7(x2473)
% 0.54/0.83 [259]~P6(x2593)+~P7(x2592)+~P7(x2591)+E(x2591,x2592)+P13(x2593,x2592)+~P13(f6(x2591,x2593),x2592)
% 0.54/0.83 [262]~P6(x2621)+~P6(x2623)+~P7(x2622)+P13(x2621,x2622)+P13(x2623,x2622)+~P13(f5(x2623,x2621),x2622)
% 0.54/0.83 [236]~P6(x2362)+~P6(x2361)+~P7(x2364)+~P7(x2363)+E(x2361,x2362)+~E(f6(x2363,x2361),f6(x2364,x2362))
% 0.54/0.83 [237]~P6(x2374)+~P6(x2373)+~P7(x2372)+~P7(x2371)+E(x2371,x2372)+~E(f6(x2371,x2373),f6(x2372,x2374))
% 0.54/0.83 [264]~P7(x2642)+~P7(x2641)+E(x2641,x2642)+~P6(x2643)+~P6(x2644)+~P9(f6(x2641,x2644),f6(x2642,x2643))
% 0.54/0.83 [266]~P6(x2662)+~P6(x2661)+P9(x2661,x2662)+~P7(x2663)+~P7(x2664)+~P9(f6(x2664,x2661),f6(x2663,x2662))
% 0.54/0.83 [260]~P6(x2601)+~P6(x2604)+~P6(x2603)+~P7(x2602)+P13(x2601,x2602)+~E(f5(x2603,f6(x2602,x2604)),x2601)
% 0.54/0.83 [261]~P6(x2611)+~P6(x2614)+~P6(x2612)+~P6(x2613)+P16(x2611,x2612)+~E(f5(f5(x2613,x2612),x2614),x2611)
% 0.54/0.83 [265]~P6(x2651)+~P6(x2653)+~P6(x2654)+~P6(x2652)+~P16(x2652,x2654)+P16(f5(f5(x2651,x2652),x2653),x2654)
% 0.54/0.83 [202]~P6(x2022)+~P6(x2021)+E(x2021,x2022)+E(a3,x2022)+E(a3,x2021)+~E(f53(x2021),f53(x2022))+~E(f4(x2021),f4(x2022))
% 0.54/0.83 [263]~E(x2631,x2633)+~P6(x2634)+~P6(x2632)+~P7(x2633)+~P7(x2631)+~P9(x2632,x2634)+P9(f6(x2631,x2632),f6(x2633,x2634))
% 0.54/0.83 [277]~P2(x2775)+~P6(x2775)+~P6(x2774)+~P6(x2773)+~P6(x2771)+~P7(x2772)+~E(f5(f5(x2771,f6(x2772,x2773)),f6(x2772,x2774)),x2775)
% 0.54/0.83 [270]~P1(x2705)+~P6(x2705)+~P6(x2704)+~P6(x2703)+~P7(x2702)+~P7(x2701)+E(x2701,x2702)+~E(f5(x2703,f6(x2701,f6(x2702,x2704))),x2705)
% 0.54/0.83 [278]~P18(x2786)+~P6(x2786)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P7(x2782)+~P7(x2781)+P11(x2781,x2782)+~E(f5(f5(x2783,f6(x2781,x2784)),f6(x2782,x2785)),x2786)
% 0.54/0.83 [279]~P4(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2792)+~P7(x2791)+P14(x2791,x2792)+~E(f5(f5(x2793,f6(x2791,x2794)),f6(x2792,x2795)),x2796)
% 0.54/0.83 [280]P11(x2802,x2801)+~P19(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2801)+~P7(x2802)+P11(x2801,x2802)+~E(f5(f5(x2803,f6(x2802,x2804)),f6(x2801,x2805)),x2806)
% 0.54/0.83 [281]P14(x2812,x2811)+~P5(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2811)+~P7(x2812)+P14(x2811,x2812)+~E(f5(f5(x2813,f6(x2812,x2814)),f6(x2811,x2815)),x2816)
% 0.54/0.83 [282]~P3(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2823)+~P6(x2821)+~P7(x2824)+~P7(x2822)+~P11(x2824,x2822)+~P11(x2822,x2824)+~E(f5(f5(x2821,f6(x2822,x2823)),f6(x2824,x2825)),x2826)
% 0.54/0.83 %EqnAxiom
% 0.54/0.83 [1]E(x11,x11)
% 0.54/0.83 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.83 [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 0.54/0.83 [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 0.54/0.83 [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.54/0.83 [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 0.54/0.83 [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 0.54/0.83 [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 0.54/0.83 [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 0.54/0.83 [11]~E(x111,x112)+E(f18(x111),f18(x112))
% 0.54/0.83 [12]~E(x121,x122)+E(f19(x121),f19(x122))
% 0.54/0.83 [13]~E(x131,x132)+E(f20(x131),f20(x132))
% 0.54/0.83 [14]~E(x141,x142)+E(f21(x141),f21(x142))
% 0.54/0.83 [15]~E(x151,x152)+E(f22(x151),f22(x152))
% 0.54/0.83 [16]~E(x161,x162)+E(f23(x161),f23(x162))
% 0.54/0.83 [17]~E(x171,x172)+E(f24(x171),f24(x172))
% 0.54/0.83 [18]~E(x181,x182)+E(f25(x181),f25(x182))
% 0.54/0.83 [19]~E(x191,x192)+E(f26(x191),f26(x192))
% 0.54/0.83 [20]~E(x201,x202)+E(f27(x201),f27(x202))
% 0.54/0.83 [21]~E(x211,x212)+E(f28(x211),f28(x212))
% 0.54/0.83 [22]~E(x221,x222)+E(f29(x221),f29(x222))
% 0.54/0.83 [23]~E(x231,x232)+E(f30(x231),f30(x232))
% 0.54/0.83 [24]~E(x241,x242)+E(f31(x241),f31(x242))
% 0.54/0.83 [25]~E(x251,x252)+E(f52(x251),f52(x252))
% 0.54/0.83 [26]~E(x261,x262)+E(f50(x261),f50(x262))
% 0.54/0.83 [27]~E(x271,x272)+E(f51(x271),f51(x272))
% 0.54/0.83 [28]~E(x281,x282)+E(f49(x281),f49(x282))
% 0.54/0.83 [29]~E(x291,x292)+E(f47(x291),f47(x292))
% 0.54/0.83 [30]~E(x301,x302)+E(f48(x301),f48(x302))
% 0.54/0.83 [31]~E(x311,x312)+E(f45(x311),f45(x312))
% 0.54/0.83 [32]~E(x321,x322)+E(f46(x321),f46(x322))
% 0.54/0.83 [33]~E(x331,x332)+E(f43(x331),f43(x332))
% 0.54/0.83 [34]~E(x341,x342)+E(f44(x341),f44(x342))
% 0.54/0.83 [35]~E(x351,x352)+E(f41(x351),f41(x352))
% 0.54/0.83 [36]~E(x361,x362)+E(f42(x361),f42(x362))
% 0.54/0.83 [37]~E(x371,x372)+E(f32(x371),f32(x372))
% 0.54/0.83 [38]~E(x381,x382)+E(f33(x381),f33(x382))
% 0.54/0.83 [39]~E(x391,x392)+E(f34(x391),f34(x392))
% 0.54/0.83 [40]~E(x401,x402)+E(f37(x401,x403),f37(x402,x403))
% 0.54/0.83 [41]~E(x411,x412)+E(f37(x413,x411),f37(x413,x412))
% 0.54/0.83 [42]~E(x421,x422)+E(f38(x421,x423),f38(x422,x423))
% 0.54/0.83 [43]~E(x431,x432)+E(f38(x433,x431),f38(x433,x432))
% 0.54/0.83 [44]~E(x441,x442)+E(f39(x441,x443),f39(x442,x443))
% 0.54/0.83 [45]~E(x451,x452)+E(f39(x453,x451),f39(x453,x452))
% 0.54/0.83 [46]~E(x461,x462)+E(f40(x461,x463),f40(x462,x463))
% 0.54/0.83 [47]~E(x471,x472)+E(f40(x473,x471),f40(x473,x472))
% 0.54/0.83 [48]~E(x481,x482)+E(f35(x481,x483),f35(x482,x483))
% 0.54/0.83 [49]~E(x491,x492)+E(f35(x493,x491),f35(x493,x492))
% 0.54/0.83 [50]~E(x501,x502)+E(f36(x501,x503),f36(x502,x503))
% 0.54/0.83 [51]~E(x511,x512)+E(f36(x513,x511),f36(x513,x512))
% 0.54/0.83 [52]~E(x521,x522)+E(f53(x521),f53(x522))
% 0.54/0.83 [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 0.54/0.83 [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 0.54/0.83 [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 0.54/0.83 [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 0.54/0.83 [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 0.54/0.83 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.54/0.83 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.54/0.83 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.54/0.83 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.54/0.83 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.54/0.83 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.54/0.83 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.54/0.83 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.54/0.83 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.54/0.83 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 0.54/0.83 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 0.54/0.83 [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 0.54/0.83 [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 0.54/0.83 [71]P17(x712,x713)+~E(x711,x712)+~P17(x711,x713)
% 0.54/0.83 [72]P17(x723,x722)+~E(x721,x722)+~P17(x723,x721)
% 0.54/0.83 [73]P13(x732,x733)+~E(x731,x732)+~P13(x731,x733)
% 0.54/0.83 [74]P13(x743,x742)+~E(x741,x742)+~P13(x743,x741)
% 0.54/0.83 [75]P9(x752,x753)+~E(x751,x752)+~P9(x751,x753)
% 0.54/0.83 [76]P9(x763,x762)+~E(x761,x762)+~P9(x763,x761)
% 0.54/0.83 [77]~P15(x771)+P15(x772)+~E(x771,x772)
% 0.54/0.83 [78]P10(x782,x783)+~E(x781,x782)+~P10(x781,x783)
% 0.54/0.83 [79]P10(x793,x792)+~E(x791,x792)+~P10(x793,x791)
% 0.54/0.83 [80]P16(x802,x803)+~E(x801,x802)+~P16(x801,x803)
% 0.54/0.83 [81]P16(x813,x812)+~E(x811,x812)+~P16(x813,x811)
% 0.54/0.83 [82]P12(x822,x823)+~E(x821,x822)+~P12(x821,x823)
% 0.54/0.83 [83]P12(x833,x832)+~E(x831,x832)+~P12(x833,x831)
% 0.54/0.83 [84]P8(x842,x843)+~E(x841,x842)+~P8(x841,x843)
% 0.54/0.83 [85]P8(x853,x852)+~E(x851,x852)+~P8(x853,x851)
% 0.54/0.83
% 0.54/0.83 %-------------------------------------------
% 0.54/0.83 cnf(287,plain,
% 0.54/0.83 (~P8(x2871,x2871)+~P6(x2871)+~P6(x2871)),
% 0.54/0.83 inference(equality_inference,[],[195])).
% 0.54/0.83 cnf(289,plain,
% 0.54/0.83 (~P8(x2891,x2891)+~P7(x2891)+~P7(x2891)),
% 0.54/0.83 inference(equality_inference,[],[197])).
% 0.54/0.83 cnf(342,plain,
% 0.54/0.83 (E(a8,a7)),
% 0.54/0.83 inference(scs_inference,[],[87,101,174,2])).
% 0.54/0.83 cnf(345,plain,
% 0.54/0.83 (~P8(a1,a1)),
% 0.54/0.83 inference(scs_inference,[],[87,98,101,174,2,289,287])).
% 0.54/0.83 cnf(362,plain,
% 0.54/0.83 (~E(a3,a8)),
% 0.54/0.83 inference(scs_inference,[],[138,97,342,123,174,287,289,85,3])).
% 0.54/0.83 cnf(369,plain,
% 0.54/0.83 (P16(a8,a1)),
% 0.54/0.83 inference(scs_inference,[],[362,149])).
% 0.54/0.83 cnf(370,plain,
% 0.54/0.83 (P8(a1,a3)),
% 0.54/0.83 inference(scs_inference,[],[362,150])).
% 0.54/0.83 cnf(385,plain,
% 0.54/0.83 (P16(a7,a1)),
% 0.54/0.83 inference(scs_inference,[],[369,342,125,174,80])).
% 0.54/0.83 cnf(387,plain,
% 0.54/0.83 (P8(a2,a3)),
% 0.54/0.83 inference(scs_inference,[],[86,369,342,370,125,174,80,81,84])).
% 0.54/0.83 cnf(393,plain,
% 0.54/0.83 (~P16(a2,a1)),
% 0.54/0.83 inference(scs_inference,[],[86,369,98,342,345,370,102,125,174,80,81,84,287,85,289,233])).
% 0.54/0.83 cnf(418,plain,
% 0.54/0.83 ($false),
% 0.54/0.83 inference(scs_inference,[],[86,393,369,96,385,387,103,126,95,174,80,81,287,289,233,195,162]),
% 0.54/0.83 ['proof']).
% 0.54/0.83 % SZS output end Proof
% 0.54/0.83 % Total time :0.170000s
%------------------------------------------------------------------------------