%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC044-1 : 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 : n025.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 16:13:44 EDT 2024
% Result : Unsatisfiable 0.58s 0.80s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC044-1 : TPTP v8.2.0. Released v2.4.0.
% 0.04/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 20 05:24:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.48/0.60 start to proof:theBenchmark
% 0.58/0.79 %-------------------------------------------
% 0.58/0.79 % File :CSE---1.7
% 0.58/0.79 % Problem :theBenchmark
% 0.58/0.79 % Transform :cnf
% 0.58/0.79 % Format :tptp:raw
% 0.58/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.80
% 0.58/0.80 % Result :Theorem 0.120000s
% 0.58/0.80 % Output :CNFRefutation 0.120000s
% 0.58/0.80 %-------------------------------------------
% 0.58/0.80 %--------------------------------------------------------------------------
% 0.58/0.80 % File : SWC044-1 : TPTP v8.2.0. Released v2.4.0.
% 0.58/0.80 % Domain : Software Creation
% 0.58/0.80 % Problem : cond_id_nil_x_segment_rear
% 0.58/0.80 % Version : [Wei00] axioms.
% 0.58/0.80 % English : Find components in a software library that match a given target
% 0.58/0.80 % specification given in first-order logic. The components are
% 0.58/0.80 % specified in first-order logic as well. The problem represents
% 0.58/0.80 % a test of one library module specification against a target
% 0.58/0.80 % specification.
% 0.58/0.80
% 0.58/0.80 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.58/0.80 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.58/0.80 % Source : [TPTP]
% 0.58/0.80 % Names :
% 0.58/0.80
% 0.58/0.80 % Status : Unsatisfiable
% 0.58/0.80 % Rating : 0.05 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, 0.15 v5.4.0, 0.20 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.00 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.22 v2.5.0, 0.00 v2.4.0
% 0.58/0.80 % Syntax : Number of clauses : 194 ( 63 unt; 33 nHn; 151 RR)
% 0.58/0.80 % Number of literals : 613 ( 102 equ; 399 neg)
% 0.58/0.80 % Maximal clause size : 10 ( 3 avg)
% 0.58/0.80 % Maximal term depth : 5 ( 1 avg)
% 0.58/0.80 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.58/0.80 % Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% 0.58/0.80 % Number of variables : 326 ( 49 sgn)
% 0.58/0.80 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.58/0.80
% 0.58/0.80 % Comments : Created by CNF conversion from SWC044+1
% 0.58/0.80 %--------------------------------------------------------------------------
% 0.58/0.80 %----Include list specification axioms
% 0.58/0.80 include('Axioms/SWC001-0.ax').
% 0.58/0.80 %--------------------------------------------------------------------------
% 0.58/0.80 cnf(co1_1,negated_conjecture,
% 0.58/0.80 ssList(sk1) ).
% 0.58/0.80
% 0.58/0.80 cnf(co1_2,negated_conjecture,
% 0.58/0.80 ssList(sk2) ).
% 0.58/0.80
% 0.58/0.80 cnf(co1_3,negated_conjecture,
% 0.58/0.80 ssList(sk3) ).
% 0.58/0.80
% 0.58/0.80 cnf(co1_4,negated_conjecture,
% 0.58/0.80 ssList(sk4) ).
% 0.58/0.80
% 0.58/0.80 cnf(co1_5,negated_conjecture,
% 0.58/0.80 nil = sk2 ).
% 0.58/0.80
% 0.58/0.80 cnf(co1_6,negated_conjecture,
% 0.58/0.80 sk2 = sk4 ).
% 0.58/0.80
% 0.58/0.80 cnf(co1_7,negated_conjecture,
% 0.58/0.80 sk1 = sk3 ).
% 0.58/0.80
% 0.58/0.80 cnf(co1_8,negated_conjecture,
% 0.58/0.80 rearsegP(sk4,sk3) ).
% 0.58/0.80
% 0.58/0.80 cnf(co1_9,negated_conjecture,
% 0.58/0.80 nil != sk1 ).
% 0.58/0.80
% 0.58/0.80 %--------------------------------------------------------------------------
% 0.58/0.80 %-------------------------------------------
% 0.58/0.80 % Proof found
% 0.58/0.80 % SZS status Theorem for theBenchmark
% 0.58/0.80 % SZS output start Proof
% 0.58/0.80 %ClaNum:279(EqnAxiom:85)
% 0.58/0.80 %VarNum:891(SingletonVarNum:322)
% 0.58/0.80 %MaxLitNum:10
% 0.58/0.80 %MaxfuncDepth:4
% 0.58/0.80 %SharedTerms:28
% 0.58/0.80 %goalClause: 86 87 88 97 98 99 100 139 147
% 0.58/0.80 %singleGoalClaCount:9
% 0.58/0.80 [86]E(a1,a2)
% 0.58/0.80 [87]E(a6,a7)
% 0.58/0.80 [88]E(a1,a8)
% 0.58/0.80 [89]P1(a2)
% 0.58/0.80 [90]P2(a2)
% 0.58/0.80 [91]P4(a2)
% 0.58/0.80 [92]P18(a2)
% 0.58/0.80 [93]P5(a2)
% 0.58/0.80 [94]P19(a2)
% 0.58/0.80 [95]P3(a2)
% 0.58/0.80 [96]P6(a2)
% 0.58/0.80 [97]P6(a6)
% 0.58/0.80 [98]P6(a1)
% 0.58/0.80 [99]P6(a7)
% 0.58/0.80 [100]P6(a8)
% 0.58/0.80 [101]P7(a9)
% 0.58/0.80 [102]P7(a10)
% 0.58/0.80 [139]P8(a8,a7)
% 0.58/0.80 [146]~E(a10,a9)
% 0.58/0.80 [147]~E(a6,a2)
% 0.58/0.80 [148]~P16(a2)
% 0.58/0.80 [103]P6(f11(x1031))
% 0.58/0.80 [104]P6(f12(x1041))
% 0.58/0.80 [105]P6(f13(x1051))
% 0.58/0.80 [106]P6(f14(x1061))
% 0.58/0.80 [107]P6(f15(x1071))
% 0.58/0.80 [108]P6(f16(x1081))
% 0.58/0.80 [109]P6(f17(x1091))
% 0.58/0.80 [110]P6(f18(x1101))
% 0.58/0.80 [111]P6(f19(x1111))
% 0.58/0.80 [112]P6(f20(x1121))
% 0.58/0.80 [113]P6(f21(x1131))
% 0.58/0.80 [114]P6(f22(x1141))
% 0.58/0.80 [115]P6(f23(x1151))
% 0.58/0.80 [116]P6(f24(x1161))
% 0.58/0.80 [117]P6(f25(x1171))
% 0.58/0.80 [118]P6(f26(x1181))
% 0.58/0.80 [119]P6(f27(x1191))
% 0.58/0.80 [120]P6(f28(x1201))
% 0.58/0.80 [121]P6(f29(x1211))
% 0.58/0.80 [122]P6(f30(x1221))
% 0.58/0.80 [123]P6(f31(x1231))
% 0.58/0.80 [124]P7(f52(x1241))
% 0.58/0.80 [125]P7(f50(x1251))
% 0.58/0.80 [126]P7(f51(x1261))
% 0.58/0.80 [127]P7(f49(x1271))
% 0.58/0.80 [128]P7(f47(x1281))
% 0.58/0.80 [129]P7(f48(x1291))
% 0.58/0.80 [130]P7(f45(x1301))
% 0.58/0.80 [131]P7(f46(x1311))
% 0.58/0.80 [132]P7(f43(x1321))
% 0.58/0.80 [133]P7(f44(x1331))
% 0.58/0.80 [134]P7(f41(x1341))
% 0.58/0.80 [135]P7(f42(x1351))
% 0.58/0.80 [136]P7(f32(x1361))
% 0.58/0.80 [137]P7(f33(x1371))
% 0.58/0.80 [138]P7(f34(x1381))
% 0.58/0.80 [140]P6(f37(x1401,x1402))
% 0.58/0.80 [141]P6(f38(x1411,x1412))
% 0.58/0.80 [142]P6(f39(x1421,x1422))
% 0.58/0.80 [143]P6(f40(x1431,x1432))
% 0.58/0.80 [144]P6(f35(x1441,x1442))
% 0.58/0.80 [145]P6(f36(x1451,x1452))
% 0.58/0.81 [154]~P6(x1541)+P17(x1541,a2)
% 0.58/0.81 [155]~P6(x1551)+P8(x1551,a2)
% 0.58/0.81 [156]~P6(x1561)+P9(x1561,a2)
% 0.58/0.81 [159]~P7(x1591)+P10(x1591,x1591)
% 0.58/0.81 [160]~P6(x1601)+P17(x1601,x1601)
% 0.58/0.81 [161]~P6(x1611)+P8(x1611,x1611)
% 0.58/0.81 [162]~P6(x1621)+P9(x1621,x1621)
% 0.58/0.81 [163]~P7(x1631)+P11(x1631,x1631)
% 0.58/0.81 [168]~P7(x1681)+~P13(a2,x1681)
% 0.58/0.81 [172]~P14(x1721,x1721)+~P7(x1721)
% 0.58/0.81 [157]~P6(x1571)+E(f4(x1571,a2),x1571)
% 0.58/0.81 [158]~P6(x1581)+E(f4(a2,x1581),x1581)
% 0.58/0.81 [177]~P7(x1771)+P1(f5(x1771,a2))
% 0.58/0.81 [178]~P7(x1781)+P2(f5(x1781,a2))
% 0.58/0.81 [179]~P7(x1791)+P4(f5(x1791,a2))
% 0.58/0.81 [180]~P7(x1801)+P18(f5(x1801,a2))
% 0.58/0.81 [181]~P7(x1811)+P5(f5(x1811,a2))
% 0.58/0.81 [182]~P7(x1821)+P19(f5(x1821,a2))
% 0.58/0.81 [183]~P7(x1831)+P3(f5(x1831,a2))
% 0.58/0.81 [164]~P6(x1641)+~E(a2,x1641)+P17(a2,x1641)
% 0.58/0.81 [165]~P6(x1651)+~E(a2,x1651)+P8(a2,x1651)
% 0.58/0.81 [166]~P6(x1661)+~E(a2,x1661)+P9(a2,x1661)
% 0.58/0.81 [169]~P6(x1691)+~P17(a2,x1691)+E(a2,x1691)
% 0.58/0.81 [170]~P6(x1701)+~P8(a2,x1701)+E(a2,x1701)
% 0.58/0.81 [171]~P6(x1711)+~P9(a2,x1711)+E(a2,x1711)
% 0.58/0.81 [151]~P6(x1511)+E(a2,x1511)+P6(f53(x1511))
% 0.58/0.81 [153]~P6(x1531)+E(a2,x1531)+P7(f3(x1531))
% 0.58/0.81 [167]~P6(x1671)+P1(x1671)+~E(f51(x1671),f50(x1671))
% 0.58/0.81 [188]~P6(x1881)+P3(x1881)+P11(f32(x1881),f33(x1881))
% 0.58/0.81 [189]~P6(x1891)+P3(x1891)+P11(f33(x1891),f32(x1891))
% 0.58/0.81 [209]~P6(x2091)+P4(x2091)+~P14(f48(x2091),f47(x2091))
% 0.58/0.81 [210]~P6(x2101)+P18(x2101)+~P11(f46(x2101),f45(x2101))
% 0.58/0.81 [211]~P6(x2111)+P5(x2111)+~P14(f43(x2111),f44(x2111))
% 0.58/0.81 [212]~P6(x2121)+P5(x2121)+~P14(f44(x2121),f43(x2121))
% 0.58/0.81 [213]~P6(x2131)+P19(x2131)+~P11(f41(x2131),f42(x2131))
% 0.58/0.81 [214]~P6(x2141)+P19(x2141)+~P11(f42(x2141),f41(x2141))
% 0.58/0.81 [176]~P6(x1761)+~P16(x1761)+E(f5(f34(x1761),a2),x1761)
% 0.58/0.81 [184]~P6(x1841)+E(a2,x1841)+E(f5(f52(x1841),f11(x1841)),x1841)
% 0.58/0.81 [185]~P6(x1851)+E(a2,x1851)+E(f5(f3(x1851),f53(x1851)),x1851)
% 0.58/0.81 [268]P2(x2681)+~P6(x2681)+E(f4(f4(f16(x2681),f5(f49(x2681),f15(x2681))),f5(f49(x2681),f14(x2681))),x2681)
% 0.58/0.81 [269]P4(x2691)+~P6(x2691)+E(f4(f4(f19(x2691),f5(f48(x2691),f18(x2691))),f5(f47(x2691),f17(x2691))),x2691)
% 0.58/0.81 [270]P18(x2701)+~P6(x2701)+E(f4(f4(f22(x2701),f5(f46(x2701),f21(x2701))),f5(f45(x2701),f20(x2701))),x2701)
% 0.58/0.81 [271]P5(x2711)+~P6(x2711)+E(f4(f4(f25(x2711),f5(f44(x2711),f24(x2711))),f5(f43(x2711),f23(x2711))),x2711)
% 0.58/0.81 [272]P19(x2721)+~P6(x2721)+E(f4(f4(f28(x2721),f5(f42(x2721),f27(x2721))),f5(f41(x2721),f26(x2721))),x2721)
% 0.58/0.81 [273]P3(x2731)+~P6(x2731)+E(f4(f4(f31(x2731),f5(f33(x2731),f30(x2731))),f5(f32(x2731),f29(x2731))),x2731)
% 0.58/0.81 [266]P1(x2661)+~P6(x2661)+E(f4(f13(x2661),f5(f51(x2661),f5(f50(x2661),f12(x2661)))),x2661)
% 0.58/0.81 [149]~P6(x1491)+P2(x1491)+P7(x1492)
% 0.58/0.81 [186]~P6(x1862)+~P7(x1861)+~E(f5(x1861,x1862),a2)
% 0.58/0.81 [187]~P6(x1872)+~P7(x1871)+~E(f5(x1871,x1872),x1872)
% 0.58/0.81 [196]~P6(x1962)+~P7(x1961)+P6(f5(x1961,x1962))
% 0.58/0.81 [197]~P6(x1971)+~P6(x1972)+P6(f4(x1971,x1972))
% 0.58/0.81 [198]~P6(x1982)+~P7(x1981)+E(f53(f5(x1981,x1982)),x1982)
% 0.58/0.81 [199]~P6(x1992)+~P7(x1991)+E(f3(f5(x1991,x1992)),x1991)
% 0.58/0.81 [226]~P6(x2262)+~P7(x2261)+E(f4(f5(x2261,a2),x2262),f5(x2261,x2262))
% 0.58/0.81 [173]P15(x1732,x1731)+~P6(x1732)+~P6(x1731)+E(x1731,x1732)
% 0.58/0.81 [174]P15(x1742,x1741)+~P7(x1742)+~P7(x1741)+E(x1741,x1742)
% 0.58/0.81 [193]~P6(x1932)+~P6(x1931)+~P15(x1931,x1932)+~E(x1931,x1932)
% 0.58/0.81 [194]~P7(x1942)+~P7(x1941)+~P14(x1941,x1942)+~E(x1941,x1942)
% 0.58/0.81 [195]~P7(x1952)+~P7(x1951)+~P15(x1951,x1952)+~E(x1951,x1952)
% 0.58/0.81 [204]~P7(x2041)+~P7(x2042)+~P11(x2042,x2041)+P10(x2041,x2042)
% 0.58/0.81 [205]~P7(x2051)+~P7(x2052)+~P10(x2052,x2051)+P11(x2051,x2052)
% 0.58/0.81 [206]~P7(x2062)+~P7(x2061)+~P14(x2061,x2062)+P11(x2061,x2062)
% 0.58/0.81 [207]~P7(x2071)+~P7(x2072)+~P12(x2072,x2071)+P14(x2071,x2072)
% 0.58/0.81 [208]~P7(x2081)+~P7(x2082)+~P14(x2082,x2081)+P12(x2081,x2082)
% 0.58/0.81 [217]~P14(x2171,x2172)+~P14(x2172,x2171)+~P7(x2171)+~P7(x2172)
% 0.58/0.81 [218]~P12(x2181,x2182)+~P12(x2182,x2181)+~P7(x2181)+~P7(x2182)
% 0.58/0.81 [190]~P6(x1901)+~P6(x1902)+E(a2,x1901)+~E(f4(x1902,x1901),a2)
% 0.58/0.81 [191]~P6(x1912)+~P6(x1911)+E(a2,x1911)+~E(f4(x1911,x1912),a2)
% 0.58/0.81 [192]~P6(x1921)+~P7(x1922)+P16(x1921)+~E(f5(x1922,a2),x1921)
% 0.58/0.81 [201]~P6(x2012)+~P7(x2011)+~E(a2,x2012)+P4(f5(x2011,x2012))
% 0.58/0.81 [202]~P6(x2022)+~P7(x2021)+~E(a2,x2022)+P18(f5(x2021,x2022))
% 0.58/0.81 [203]~P6(x2031)+~P6(x2032)+E(a2,x2031)+E(f3(f4(x2031,x2032)),f3(x2031))
% 0.58/0.81 [228]~P6(x2281)+~P6(x2282)+E(a2,x2281)+E(f53(f4(x2281,x2282)),f4(f53(x2281),x2282))
% 0.58/0.81 [235]~P6(x2351)+~P6(x2352)+~P9(x2352,x2351)+E(f4(x2351,f40(x2352,x2351)),x2352)
% 0.58/0.81 [236]~P6(x2362)+~P6(x2361)+~P8(x2361,x2362)+E(f4(f39(x2361,x2362),x2362),x2361)
% 0.58/0.81 [265]~P6(x2652)+~P6(x2651)+~P17(x2651,x2652)+E(f4(f4(f38(x2651,x2652),x2652),f37(x2652,x2651)),x2651)
% 0.58/0.81 [264]~P6(x2641)+~P7(x2642)+~P13(x2641,x2642)+E(f4(f36(x2641,x2642),f5(x2642,f35(x2642,x2641))),x2641)
% 0.58/0.81 [254]~P6(x2543)+~P6(x2542)+~P7(x2541)+E(f5(x2541,f4(x2542,x2543)),f4(f5(x2541,x2542),x2543))
% 0.58/0.81 [255]~P6(x2551)+~P6(x2552)+~P6(x2553)+E(f4(f4(x2551,x2552),x2553),f4(x2551,f4(x2552,x2553)))
% 0.58/0.81 [216]P14(x2161,x2162)+~P7(x2162)+~P7(x2161)+~P11(x2161,x2162)+E(x2161,x2162)
% 0.58/0.81 [221]~P6(x2212)+~P6(x2211)+~P17(x2212,x2211)+~P17(x2211,x2212)+E(x2211,x2212)
% 0.58/0.81 [222]~P6(x2222)+~P6(x2221)+~P8(x2222,x2221)+~P8(x2221,x2222)+E(x2221,x2222)
% 0.58/0.81 [223]~P6(x2232)+~P6(x2231)+~P9(x2232,x2231)+~P9(x2231,x2232)+E(x2231,x2232)
% 0.58/0.81 [224]~P7(x2242)+~P7(x2241)+~P10(x2242,x2241)+~P10(x2241,x2242)+E(x2241,x2242)
% 0.58/0.81 [225]~P7(x2252)+~P7(x2251)+~P11(x2252,x2251)+~P11(x2251,x2252)+E(x2251,x2252)
% 0.58/0.81 [175]~P6(x1752)+~P6(x1751)+~E(a2,x1752)+~E(a2,x1751)+E(f4(x1751,x1752),a2)
% 0.58/0.81 [231]P4(x2311)+~P6(x2311)+~P7(x2312)+E(a2,x2311)+~P4(f5(x2312,x2311))
% 0.58/0.81 [232]P18(x2321)+~P6(x2321)+~P7(x2322)+E(a2,x2321)+~P18(f5(x2322,x2321))
% 0.58/0.81 [245]~P6(x2451)+~P7(x2452)+E(a2,x2451)+P11(x2452,f3(x2451))+~P18(f5(x2452,x2451))
% 0.58/0.81 [246]~P6(x2461)+~P7(x2462)+E(a2,x2461)+P14(x2462,f3(x2461))+~P4(f5(x2462,x2461))
% 0.58/0.81 [219]~P6(x2191)+~P6(x2192)+~P6(x2193)+P8(x2191,x2192)+~E(f4(x2193,x2192),x2191)
% 0.58/0.81 [220]~P6(x2201)+~P6(x2203)+~P6(x2202)+P9(x2201,x2202)+~E(f4(x2202,x2203),x2201)
% 0.58/0.81 [227]~E(x2273,x2271)+~P6(x2272)+~P7(x2271)+~P7(x2273)+P13(f5(x2271,x2272),x2273)
% 0.58/0.81 [229]~P6(x2292)+~P6(x2291)+~P6(x2293)+E(x2291,x2292)+~E(f4(x2293,x2291),f4(x2293,x2292))
% 0.58/0.81 [230]~P6(x2302)+~P6(x2303)+~P6(x2301)+E(x2301,x2302)+~E(f4(x2301,x2303),f4(x2302,x2303))
% 0.58/0.81 [247]~P6(x2471)+~P6(x2473)+~P6(x2472)+~P8(x2472,x2473)+P8(f4(x2471,x2472),x2473)
% 0.58/0.81 [248]~P6(x2482)+~P6(x2483)+~P6(x2481)+~P9(x2481,x2483)+P9(f4(x2481,x2482),x2483)
% 0.58/0.81 [249]~P6(x2492)+~P7(x2491)+~P7(x2493)+~P13(x2492,x2493)+P13(f5(x2491,x2492),x2493)
% 0.58/0.81 [250]~P6(x2501)+~P6(x2502)+~P7(x2503)+~P13(x2502,x2503)+P13(f4(x2501,x2502),x2503)
% 0.58/0.81 [251]~P6(x2512)+~P6(x2511)+~P7(x2513)+~P13(x2511,x2513)+P13(f4(x2511,x2512),x2513)
% 0.58/0.81 [252]~P4(x2521)+~P6(x2521)+~P7(x2522)+~P14(x2522,f3(x2521))+E(a2,x2521)+P4(f5(x2522,x2521))
% 0.58/0.81 [253]~P18(x2531)+~P6(x2531)+~P7(x2532)+~P11(x2532,f3(x2531))+E(a2,x2531)+P18(f5(x2532,x2531))
% 0.58/0.81 [237]~P7(x2372)+~P7(x2371)+~P10(x2373,x2372)+~P10(x2371,x2373)+P10(x2371,x2372)+~P7(x2373)
% 0.58/0.81 [238]~P6(x2382)+~P6(x2381)+~P17(x2383,x2382)+~P17(x2381,x2383)+P17(x2381,x2382)+~P6(x2383)
% 0.58/0.81 [239]~P6(x2392)+~P6(x2391)+~P8(x2393,x2392)+~P8(x2391,x2393)+P8(x2391,x2392)+~P6(x2393)
% 0.58/0.81 [240]~P6(x2402)+~P6(x2401)+~P9(x2403,x2402)+~P9(x2401,x2403)+P9(x2401,x2402)+~P6(x2403)
% 0.58/0.81 [241]~P7(x2412)+~P7(x2411)+~P11(x2413,x2412)+~P11(x2411,x2413)+P11(x2411,x2412)+~P7(x2413)
% 0.58/0.81 [242]~P7(x2422)+~P7(x2421)+~P11(x2421,x2423)+~P14(x2423,x2422)+P14(x2421,x2422)+~P7(x2423)
% 0.58/0.81 [243]~P7(x2432)+~P7(x2431)+~P14(x2433,x2432)+~P14(x2431,x2433)+P14(x2431,x2432)+~P7(x2433)
% 0.58/0.81 [244]~P7(x2442)+~P7(x2441)+~P12(x2443,x2442)+~P12(x2441,x2443)+P12(x2441,x2442)+~P7(x2443)
% 0.58/0.81 [256]~P6(x2563)+~P7(x2562)+~P7(x2561)+E(x2561,x2562)+P13(x2563,x2562)+~P13(f5(x2561,x2563),x2562)
% 0.58/0.81 [259]~P6(x2591)+~P6(x2593)+~P7(x2592)+P13(x2591,x2592)+P13(x2593,x2592)+~P13(f4(x2593,x2591),x2592)
% 0.58/0.81 [233]~P6(x2332)+~P6(x2331)+~P7(x2334)+~P7(x2333)+E(x2331,x2332)+~E(f5(x2333,x2331),f5(x2334,x2332))
% 0.58/0.81 [234]~P6(x2344)+~P6(x2343)+~P7(x2342)+~P7(x2341)+E(x2341,x2342)+~E(f5(x2341,x2343),f5(x2342,x2344))
% 0.58/0.81 [261]~P7(x2612)+~P7(x2611)+E(x2611,x2612)+~P6(x2613)+~P6(x2614)+~P9(f5(x2611,x2614),f5(x2612,x2613))
% 0.58/0.81 [263]~P6(x2632)+~P6(x2631)+P9(x2631,x2632)+~P7(x2633)+~P7(x2634)+~P9(f5(x2634,x2631),f5(x2633,x2632))
% 0.58/0.81 [257]~P6(x2571)+~P6(x2574)+~P6(x2573)+~P7(x2572)+P13(x2571,x2572)+~E(f4(x2573,f5(x2572,x2574)),x2571)
% 0.58/0.81 [258]~P6(x2581)+~P6(x2584)+~P6(x2582)+~P6(x2583)+P17(x2581,x2582)+~E(f4(f4(x2583,x2582),x2584),x2581)
% 0.58/0.81 [262]~P6(x2621)+~P6(x2623)+~P6(x2624)+~P6(x2622)+~P17(x2622,x2624)+P17(f4(f4(x2621,x2622),x2623),x2624)
% 0.58/0.81 [200]~P6(x2002)+~P6(x2001)+E(x2001,x2002)+E(a2,x2002)+E(a2,x2001)+~E(f53(x2001),f53(x2002))+~E(f3(x2001),f3(x2002))
% 0.58/0.81 [260]~E(x2601,x2603)+~P6(x2604)+~P6(x2602)+~P7(x2603)+~P7(x2601)+~P9(x2602,x2604)+P9(f5(x2601,x2602),f5(x2603,x2604))
% 0.58/0.81 [274]~P2(x2745)+~P6(x2745)+~P6(x2744)+~P6(x2743)+~P6(x2741)+~P7(x2742)+~E(f4(f4(x2741,f5(x2742,x2743)),f5(x2742,x2744)),x2745)
% 0.58/0.81 [267]~P1(x2675)+~P6(x2675)+~P6(x2674)+~P6(x2673)+~P7(x2672)+~P7(x2671)+E(x2671,x2672)+~E(f4(x2673,f5(x2671,f5(x2672,x2674))),x2675)
% 0.58/0.81 [275]~P18(x2756)+~P6(x2756)+~P6(x2755)+~P6(x2754)+~P6(x2753)+~P7(x2752)+~P7(x2751)+P11(x2751,x2752)+~E(f4(f4(x2753,f5(x2751,x2754)),f5(x2752,x2755)),x2756)
% 0.58/0.81 [276]~P4(x2766)+~P6(x2766)+~P6(x2765)+~P6(x2764)+~P6(x2763)+~P7(x2762)+~P7(x2761)+P14(x2761,x2762)+~E(f4(f4(x2763,f5(x2761,x2764)),f5(x2762,x2765)),x2766)
% 0.58/0.81 [277]P11(x2772,x2771)+~P19(x2776)+~P6(x2776)+~P6(x2775)+~P6(x2774)+~P6(x2773)+~P7(x2771)+~P7(x2772)+P11(x2771,x2772)+~E(f4(f4(x2773,f5(x2772,x2774)),f5(x2771,x2775)),x2776)
% 0.58/0.81 [278]P14(x2782,x2781)+~P5(x2786)+~P6(x2786)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P7(x2781)+~P7(x2782)+P14(x2781,x2782)+~E(f4(f4(x2783,f5(x2782,x2784)),f5(x2781,x2785)),x2786)
% 0.58/0.81 [279]~P3(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2793)+~P6(x2791)+~P7(x2794)+~P7(x2792)+~P11(x2794,x2792)+~P11(x2792,x2794)+~E(f4(f4(x2791,f5(x2792,x2793)),f5(x2794,x2795)),x2796)
% 0.58/0.81 %EqnAxiom
% 0.58/0.81 [1]E(x11,x11)
% 0.58/0.81 [2]E(x22,x21)+~E(x21,x22)
% 0.58/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.58/0.81 [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 0.58/0.81 [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 0.58/0.81 [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.58/0.81 [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 0.58/0.81 [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 0.58/0.81 [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 0.58/0.81 [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 0.58/0.81 [11]~E(x111,x112)+E(f18(x111),f18(x112))
% 0.58/0.81 [12]~E(x121,x122)+E(f19(x121),f19(x122))
% 0.58/0.81 [13]~E(x131,x132)+E(f20(x131),f20(x132))
% 0.58/0.81 [14]~E(x141,x142)+E(f21(x141),f21(x142))
% 0.58/0.81 [15]~E(x151,x152)+E(f22(x151),f22(x152))
% 0.58/0.81 [16]~E(x161,x162)+E(f23(x161),f23(x162))
% 0.58/0.81 [17]~E(x171,x172)+E(f24(x171),f24(x172))
% 0.58/0.81 [18]~E(x181,x182)+E(f25(x181),f25(x182))
% 0.58/0.81 [19]~E(x191,x192)+E(f26(x191),f26(x192))
% 0.58/0.81 [20]~E(x201,x202)+E(f27(x201),f27(x202))
% 0.58/0.81 [21]~E(x211,x212)+E(f28(x211),f28(x212))
% 0.58/0.81 [22]~E(x221,x222)+E(f29(x221),f29(x222))
% 0.58/0.81 [23]~E(x231,x232)+E(f30(x231),f30(x232))
% 0.58/0.81 [24]~E(x241,x242)+E(f31(x241),f31(x242))
% 0.58/0.81 [25]~E(x251,x252)+E(f52(x251),f52(x252))
% 0.58/0.81 [26]~E(x261,x262)+E(f50(x261),f50(x262))
% 0.58/0.81 [27]~E(x271,x272)+E(f51(x271),f51(x272))
% 0.58/0.81 [28]~E(x281,x282)+E(f49(x281),f49(x282))
% 0.58/0.81 [29]~E(x291,x292)+E(f47(x291),f47(x292))
% 0.58/0.81 [30]~E(x301,x302)+E(f48(x301),f48(x302))
% 0.58/0.81 [31]~E(x311,x312)+E(f45(x311),f45(x312))
% 0.58/0.81 [32]~E(x321,x322)+E(f46(x321),f46(x322))
% 0.58/0.81 [33]~E(x331,x332)+E(f43(x331),f43(x332))
% 0.58/0.81 [34]~E(x341,x342)+E(f44(x341),f44(x342))
% 0.58/0.81 [35]~E(x351,x352)+E(f41(x351),f41(x352))
% 0.58/0.81 [36]~E(x361,x362)+E(f42(x361),f42(x362))
% 0.58/0.81 [37]~E(x371,x372)+E(f32(x371),f32(x372))
% 0.58/0.81 [38]~E(x381,x382)+E(f33(x381),f33(x382))
% 0.58/0.81 [39]~E(x391,x392)+E(f34(x391),f34(x392))
% 0.58/0.81 [40]~E(x401,x402)+E(f37(x401,x403),f37(x402,x403))
% 0.58/0.81 [41]~E(x411,x412)+E(f37(x413,x411),f37(x413,x412))
% 0.58/0.81 [42]~E(x421,x422)+E(f38(x421,x423),f38(x422,x423))
% 0.58/0.81 [43]~E(x431,x432)+E(f38(x433,x431),f38(x433,x432))
% 0.58/0.81 [44]~E(x441,x442)+E(f39(x441,x443),f39(x442,x443))
% 0.58/0.81 [45]~E(x451,x452)+E(f39(x453,x451),f39(x453,x452))
% 0.58/0.81 [46]~E(x461,x462)+E(f40(x461,x463),f40(x462,x463))
% 0.58/0.81 [47]~E(x471,x472)+E(f40(x473,x471),f40(x473,x472))
% 0.58/0.81 [48]~E(x481,x482)+E(f35(x481,x483),f35(x482,x483))
% 0.58/0.81 [49]~E(x491,x492)+E(f35(x493,x491),f35(x493,x492))
% 0.58/0.81 [50]~E(x501,x502)+E(f36(x501,x503),f36(x502,x503))
% 0.58/0.81 [51]~E(x511,x512)+E(f36(x513,x511),f36(x513,x512))
% 0.58/0.81 [52]~E(x521,x522)+E(f53(x521),f53(x522))
% 0.58/0.81 [53]~E(x531,x532)+E(f5(x531,x533),f5(x532,x533))
% 0.58/0.81 [54]~E(x541,x542)+E(f5(x543,x541),f5(x543,x542))
% 0.58/0.81 [55]~E(x551,x552)+E(f3(x551),f3(x552))
% 0.58/0.81 [56]~E(x561,x562)+E(f4(x561,x563),f4(x562,x563))
% 0.58/0.81 [57]~E(x571,x572)+E(f4(x573,x571),f4(x573,x572))
% 0.58/0.81 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.58/0.81 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.58/0.81 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.58/0.81 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.58/0.81 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.58/0.81 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.58/0.81 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.58/0.81 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.58/0.81 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.58/0.81 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 0.58/0.81 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 0.58/0.81 [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 0.58/0.81 [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 0.58/0.81 [71]P9(x712,x713)+~E(x711,x712)+~P9(x711,x713)
% 0.58/0.81 [72]P9(x723,x722)+~E(x721,x722)+~P9(x723,x721)
% 0.58/0.81 [73]P10(x732,x733)+~E(x731,x732)+~P10(x731,x733)
% 0.58/0.81 [74]P10(x743,x742)+~E(x741,x742)+~P10(x743,x741)
% 0.58/0.81 [75]P12(x752,x753)+~E(x751,x752)+~P12(x751,x753)
% 0.58/0.81 [76]P12(x763,x762)+~E(x761,x762)+~P12(x763,x761)
% 0.58/0.81 [77]P13(x772,x773)+~E(x771,x772)+~P13(x771,x773)
% 0.58/0.81 [78]P13(x783,x782)+~E(x781,x782)+~P13(x783,x781)
% 0.58/0.81 [79]P17(x792,x793)+~E(x791,x792)+~P17(x791,x793)
% 0.58/0.81 [80]P17(x803,x802)+~E(x801,x802)+~P17(x803,x801)
% 0.58/0.81 [81]P15(x812,x813)+~E(x811,x812)+~P15(x811,x813)
% 0.58/0.81 [82]P15(x823,x822)+~E(x821,x822)+~P15(x823,x821)
% 0.58/0.81 [83]P8(x832,x833)+~E(x831,x832)+~P8(x831,x833)
% 0.58/0.81 [84]P8(x843,x842)+~E(x841,x842)+~P8(x843,x841)
% 0.58/0.81 [85]~P16(x851)+P16(x852)+~E(x851,x852)
% 0.58/0.81
% 0.58/0.81 %-------------------------------------------
% 0.58/0.81 cnf(284,plain,
% 0.58/0.81 (~P15(x2841,x2841)+~P6(x2841)+~P6(x2841)),
% 0.58/0.81 inference(equality_inference,[],[193])).
% 0.58/0.81 cnf(286,plain,
% 0.58/0.81 (~P15(x2861,x2861)+~P7(x2861)+~P7(x2861)),
% 0.58/0.81 inference(equality_inference,[],[195])).
% 0.58/0.81 cnf(298,plain,
% 0.58/0.81 (~P7(x2981)+~P7(x2981)+~P9(x2982,x2983)+~P6(x2983)+~P6(x2982)+P9(f5(x2981,x2982),f5(x2981,x2983))),
% 0.58/0.81 inference(equality_inference,[],[260])).
% 0.58/0.81 cnf(306,plain,
% 0.58/0.81 (E(a2,a1)),
% 0.58/0.81 inference(scs_inference,[],[86,2])).
% 0.58/0.81 cnf(314,plain,
% 0.58/0.81 (P1(a1)),
% 0.58/0.81 inference(scs_inference,[],[86,97,147,89,101,2,172,284,286,3,58])).
% 0.58/0.81 cnf(315,plain,
% 0.58/0.81 (P2(a1)),
% 0.58/0.81 inference(scs_inference,[],[86,97,147,89,90,101,2,172,284,286,3,58,59])).
% 0.58/0.81 cnf(316,plain,
% 0.58/0.81 (P4(a1)),
% 0.58/0.81 inference(scs_inference,[],[86,97,147,89,90,91,101,2,172,284,286,3,58,59,60])).
% 0.58/0.81 cnf(317,plain,
% 0.58/0.81 (P18(a1)),
% 0.58/0.81 inference(scs_inference,[],[86,97,147,89,90,91,92,101,2,172,284,286,3,58,59,60,61])).
% 0.58/0.81 cnf(318,plain,
% 0.58/0.81 (P5(a1)),
% 0.58/0.81 inference(scs_inference,[],[86,97,147,89,90,91,92,93,101,2,172,284,286,3,58,59,60,61,62])).
% 0.58/0.81 cnf(319,plain,
% 0.58/0.81 (P19(a1)),
% 0.58/0.81 inference(scs_inference,[],[86,97,147,89,90,91,92,93,94,101,2,172,284,286,3,58,59,60,61,62,63])).
% 0.58/0.81 cnf(320,plain,
% 0.58/0.81 (P3(a1)),
% 0.58/0.81 inference(scs_inference,[],[86,97,147,89,90,91,92,93,94,95,101,2,172,284,286,3,58,59,60,61,62,63,64])).
% 0.58/0.81 cnf(321,plain,
% 0.58/0.81 (~P16(a1)),
% 0.58/0.81 inference(scs_inference,[],[86,97,147,89,90,91,92,93,94,95,101,148,2,172,284,286,3,58,59,60,61,62,63,64,85])).
% 0.58/0.81 cnf(329,plain,
% 0.58/0.81 (P9(a1,a1)),
% 0.58/0.81 inference(scs_inference,[],[86,97,98,147,89,90,91,92,93,94,95,101,148,2,172,284,286,3,58,59,60,61,62,63,64,85,164,165,166,66,71])).
% 0.58/0.81 cnf(331,plain,
% 0.58/0.81 (P17(a1,a1)),
% 0.58/0.82 inference(scs_inference,[],[86,97,98,147,89,90,91,92,93,94,95,101,148,2,172,284,286,3,58,59,60,61,62,63,64,85,164,165,166,66,71,72,79])).
% 0.58/0.82 cnf(334,plain,
% 0.58/0.82 (P8(a2,a2)),
% 0.58/0.82 inference(scs_inference,[],[86,97,98,147,89,90,91,92,93,94,95,101,148,2,172,284,286,3,58,59,60,61,62,63,64,85,164,165,166,66,71,72,79,80,83,84])).
% 0.58/0.82 cnf(347,plain,
% 0.58/0.82 (E(a7,a6)),
% 0.58/0.82 inference(scs_inference,[],[87,2])).
% 0.58/0.82 cnf(357,plain,
% 0.58/0.82 (P9(a1,a2)),
% 0.58/0.82 inference(scs_inference,[],[86,87,88,99,306,329,316,318,102,2,172,62,60,3,286,284,72])).
% 0.58/0.82 cnf(358,plain,
% 0.58/0.82 (P8(a1,a2)),
% 0.58/0.82 inference(scs_inference,[],[86,87,88,99,306,329,334,316,318,102,2,172,62,60,3,286,284,72,83])).
% 0.58/0.82 cnf(364,plain,
% 0.58/0.82 (P17(a1,a2)),
% 0.58/0.82 inference(scs_inference,[],[86,87,88,99,306,329,334,314,315,316,317,318,319,320,331,102,2,172,62,60,3,286,284,72,83,58,61,59,64,63,80])).
% 0.58/0.82 cnf(377,plain,
% 0.58/0.82 (P8(a2,a7)),
% 0.58/0.82 inference(scs_inference,[],[86,87,88,99,100,139,98,306,329,334,314,315,316,317,318,319,320,331,96,102,2,172,62,60,3,286,284,72,83,58,61,59,64,63,80,84,298,165,164,166,85,71,79,239])).
% 0.58/0.82 cnf(379,plain,
% 0.58/0.82 (E(a2,a7)),
% 0.58/0.82 inference(scs_inference,[],[86,87,88,99,100,139,98,306,329,334,314,315,316,317,318,319,320,331,96,102,2,172,62,60,3,286,284,72,83,58,61,59,64,63,80,84,298,165,164,166,85,71,79,239,170])).
% 0.58/0.82 cnf(430,plain,
% 0.58/0.82 ($false),
% 0.58/0.82 inference(scs_inference,[],[86,88,147,139,97,98,99,329,306,357,364,321,347,358,377,379,124,89,90,91,92,93,94,95,96,2,172,164,286,3,166,284,72,58,60,63,62,80,83,59,64,84,61,71,85,79,223,221,222,238,240,239,298,154]),
% 0.58/0.82 ['proof']).
% 0.58/0.82 % SZS output end Proof
% 0.58/0.82 % Total time :0.120000s
%------------------------------------------------------------------------------