%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC381-1 : 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 : n027.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 16:15:18 EDT 2024
% Result : Unsatisfiable 0.59s 0.73s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC381-1 : 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
% 0.12/0.33 % Computer : n027.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 03:21:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.59/0.72 %-------------------------------------------
% 0.59/0.72 % File :CSE---1.7
% 0.59/0.72 % Problem :theBenchmark
% 0.59/0.72 % Transform :cnf
% 0.59/0.72 % Format :tptp:raw
% 0.59/0.72 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.72
% 0.59/0.72 % Result :Theorem 0.090000s
% 0.59/0.72 % Output :CNFRefutation 0.090000s
% 0.59/0.72 %-------------------------------------------
% 0.59/0.73 %--------------------------------------------------------------------------
% 0.59/0.73 % File : SWC381-1 : TPTP v8.2.0. Released v2.4.0.
% 0.59/0.73 % Domain : Software Creation
% 0.59/0.73 % Problem : cond_some1_x_some1
% 0.59/0.73 % Version : [Wei00] axioms.
% 0.59/0.73 % English : Find components in a software library that match a given target
% 0.59/0.73 % specification given in first-order logic. The components are
% 0.59/0.73 % specified in first-order logic as well. The problem represents
% 0.59/0.73 % a test of one library module specification against a target
% 0.59/0.73 % specification.
% 0.59/0.73
% 0.59/0.73 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.59/0.73 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.59/0.73 % Source : [TPTP]
% 0.59/0.73 % Names :
% 0.59/0.73
% 0.59/0.73 % Status : Unsatisfiable
% 0.59/0.73 % 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 v7.0.0, 0.07 v6.4.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.18 v4.0.0, 0.27 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.33 v3.3.0, 0.29 v3.2.0, 0.31 v3.1.0, 0.27 v2.7.0, 0.33 v2.5.0, 0.22 v2.4.0
% 0.59/0.73 % Syntax : Number of clauses : 201 ( 60 unt; 37 nHn; 158 RR)
% 0.59/0.73 % Number of literals : 634 ( 104 equ; 409 neg)
% 0.59/0.73 % Maximal clause size : 10 ( 3 avg)
% 0.59/0.73 % Maximal term depth : 5 ( 1 avg)
% 0.59/0.73 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.59/0.73 % Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% 0.59/0.73 % Number of variables : 328 ( 49 sgn)
% 0.59/0.73 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.59/0.73
% 0.59/0.73 % Comments : Created by CNF conversion from SWC381+1
% 0.59/0.73 %--------------------------------------------------------------------------
% 0.59/0.73 %----Include list specification axioms
% 0.59/0.73 include('Axioms/SWC001-0.ax').
% 0.59/0.73 %--------------------------------------------------------------------------
% 0.59/0.73 cnf(co1_1,negated_conjecture,
% 0.59/0.73 ssList(sk1) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_2,negated_conjecture,
% 0.59/0.73 ssList(sk2) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_3,negated_conjecture,
% 0.59/0.73 ssList(sk3) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_4,negated_conjecture,
% 0.59/0.73 ssList(sk4) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_5,negated_conjecture,
% 0.59/0.73 sk2 = sk4 ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_6,negated_conjecture,
% 0.59/0.73 sk1 = sk3 ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_7,negated_conjecture,
% 0.59/0.73 ( neq(sk2,nil)
% 0.59/0.73 | neq(sk2,nil) ) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_8,negated_conjecture,
% 0.59/0.73 ( neq(sk2,nil)
% 0.59/0.73 | ~ neq(sk4,nil) ) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_9,negated_conjecture,
% 0.59/0.73 ( ~ ssItem(A)
% 0.59/0.73 | cons(A,nil) != sk1
% 0.59/0.73 | ~ memberP(sk2,A)
% 0.59/0.73 | neq(sk2,nil) ) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_10,negated_conjecture,
% 0.59/0.73 ( ssItem(sk5)
% 0.59/0.73 | neq(sk2,nil) ) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_11,negated_conjecture,
% 0.59/0.73 ( cons(sk5,nil) = sk3
% 0.59/0.73 | neq(sk2,nil) ) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_12,negated_conjecture,
% 0.59/0.73 ( memberP(sk4,sk5)
% 0.59/0.73 | neq(sk2,nil) ) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_13,negated_conjecture,
% 0.59/0.73 ( ~ ssItem(A)
% 0.59/0.73 | cons(A,nil) != sk1
% 0.59/0.73 | ~ memberP(sk2,A)
% 0.59/0.73 | ~ neq(sk4,nil) ) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_14,negated_conjecture,
% 0.59/0.73 ( ssItem(sk5)
% 0.59/0.73 | ~ neq(sk4,nil) ) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_15,negated_conjecture,
% 0.59/0.73 ( cons(sk5,nil) = sk3
% 0.59/0.73 | ~ neq(sk4,nil) ) ).
% 0.59/0.73
% 0.59/0.73 cnf(co1_16,negated_conjecture,
% 0.59/0.73 ( memberP(sk4,sk5)
% 0.59/0.73 | ~ neq(sk4,nil) ) ).
% 0.59/0.73
% 0.59/0.73 %--------------------------------------------------------------------------
% 0.59/0.73 %-------------------------------------------
% 0.59/0.73 % Proof found
% 0.59/0.73 % SZS status Theorem for theBenchmark
% 0.59/0.73 % SZS output start Proof
% 0.59/0.73 %ClaNum:286(EqnAxiom:85)
% 0.59/0.73 %VarNum:894(SingletonVarNum:323)
% 0.59/0.73 %MaxLitNum:10
% 0.59/0.73 %MaxfuncDepth:4
% 0.59/0.73 %SharedTerms:32
% 0.59/0.73 %goalClause: 86 87 96 97 98 99 138 158 174 175 234
% 0.59/0.73 %singleGoalClaCount:7
% 0.59/0.73 [86]E(a1,a2)
% 0.59/0.73 [87]E(a7,a8)
% 0.59/0.73 [88]P1(a3)
% 0.59/0.73 [89]P2(a3)
% 0.59/0.73 [90]P4(a3)
% 0.59/0.73 [91]P18(a3)
% 0.59/0.73 [92]P5(a3)
% 0.59/0.73 [93]P19(a3)
% 0.59/0.73 [94]P3(a3)
% 0.59/0.73 [95]P6(a3)
% 0.59/0.73 [96]P6(a2)
% 0.59/0.73 [97]P6(a7)
% 0.59/0.73 [98]P6(a1)
% 0.59/0.73 [99]P6(a8)
% 0.59/0.73 [100]P7(a9)
% 0.59/0.73 [101]P7(a10)
% 0.59/0.73 [138]P8(a7,a3)
% 0.59/0.73 [145]~E(a10,a9)
% 0.59/0.73 [146]~P15(a3)
% 0.59/0.73 [102]P6(f12(x1021))
% 0.59/0.73 [103]P6(f13(x1031))
% 0.59/0.73 [104]P6(f14(x1041))
% 0.59/0.73 [105]P6(f15(x1051))
% 0.59/0.73 [106]P6(f16(x1061))
% 0.59/0.73 [107]P6(f17(x1071))
% 0.59/0.73 [108]P6(f18(x1081))
% 0.59/0.73 [109]P6(f19(x1091))
% 0.59/0.73 [110]P6(f20(x1101))
% 0.59/0.73 [111]P6(f21(x1111))
% 0.59/0.73 [112]P6(f22(x1121))
% 0.59/0.73 [113]P6(f23(x1131))
% 0.59/0.73 [114]P6(f24(x1141))
% 0.59/0.73 [115]P6(f25(x1151))
% 0.59/0.73 [116]P6(f26(x1161))
% 0.59/0.73 [117]P6(f27(x1171))
% 0.59/0.73 [118]P6(f28(x1181))
% 0.59/0.73 [119]P6(f29(x1191))
% 0.59/0.73 [120]P6(f30(x1201))
% 0.59/0.73 [121]P6(f31(x1211))
% 0.59/0.73 [122]P6(f32(x1221))
% 0.59/0.73 [123]P7(f53(x1231))
% 0.59/0.73 [124]P7(f51(x1241))
% 0.59/0.73 [125]P7(f52(x1251))
% 0.59/0.73 [126]P7(f50(x1261))
% 0.59/0.73 [127]P7(f48(x1271))
% 0.59/0.73 [128]P7(f49(x1281))
% 0.59/0.73 [129]P7(f46(x1291))
% 0.59/0.73 [130]P7(f47(x1301))
% 0.59/0.73 [131]P7(f44(x1311))
% 0.59/0.73 [132]P7(f45(x1321))
% 0.59/0.73 [133]P7(f42(x1331))
% 0.59/0.73 [134]P7(f43(x1341))
% 0.59/0.73 [135]P7(f33(x1351))
% 0.59/0.73 [136]P7(f34(x1361))
% 0.59/0.74 [137]P7(f35(x1371))
% 0.59/0.74 [139]P6(f38(x1391,x1392))
% 0.59/0.74 [140]P6(f39(x1401,x1402))
% 0.59/0.74 [141]P6(f40(x1411,x1412))
% 0.59/0.74 [142]P6(f41(x1421,x1422))
% 0.59/0.74 [143]P6(f36(x1431,x1432))
% 0.59/0.74 [144]P6(f37(x1441,x1442))
% 0.59/0.74 [158]P7(a11)+~P8(a8,a3)
% 0.59/0.74 [175]~P8(a8,a3)+P13(a8,a11)
% 0.59/0.74 [174]~P8(a8,a3)+E(f6(a11,a3),a1)
% 0.59/0.74 [153]~P6(x1531)+P16(x1531,a3)
% 0.59/0.74 [154]~P6(x1541)+P17(x1541,a3)
% 0.59/0.74 [155]~P6(x1551)+P9(x1551,a3)
% 0.59/0.74 [159]~P7(x1591)+P10(x1591,x1591)
% 0.59/0.74 [160]~P6(x1601)+P16(x1601,x1601)
% 0.59/0.74 [161]~P6(x1611)+P17(x1611,x1611)
% 0.59/0.74 [162]~P6(x1621)+P9(x1621,x1621)
% 0.59/0.74 [163]~P7(x1631)+P11(x1631,x1631)
% 0.59/0.74 [170]~P7(x1701)+~P13(a3,x1701)
% 0.59/0.74 [177]~P14(x1771,x1771)+~P7(x1771)
% 0.59/0.74 [156]~P6(x1561)+E(f5(x1561,a3),x1561)
% 0.59/0.74 [157]~P6(x1571)+E(f5(a3,x1571),x1571)
% 0.59/0.74 [182]~P7(x1821)+P1(f6(x1821,a3))
% 0.59/0.74 [183]~P7(x1831)+P2(f6(x1831,a3))
% 0.59/0.74 [184]~P7(x1841)+P4(f6(x1841,a3))
% 0.59/0.74 [185]~P7(x1851)+P18(f6(x1851,a3))
% 0.59/0.74 [186]~P7(x1861)+P5(f6(x1861,a3))
% 0.59/0.74 [187]~P7(x1871)+P19(f6(x1871,a3))
% 0.59/0.74 [188]~P7(x1881)+P3(f6(x1881,a3))
% 0.59/0.74 [164]~P6(x1641)+~E(a3,x1641)+P16(a3,x1641)
% 0.59/0.74 [165]~P6(x1651)+~E(a3,x1651)+P17(a3,x1651)
% 0.59/0.74 [166]~P6(x1661)+~E(a3,x1661)+P9(a3,x1661)
% 0.59/0.74 [171]~P6(x1711)+~P16(a3,x1711)+E(a3,x1711)
% 0.59/0.74 [172]~P6(x1721)+~P17(a3,x1721)+E(a3,x1721)
% 0.59/0.74 [173]~P6(x1731)+~P9(a3,x1731)+E(a3,x1731)
% 0.59/0.74 [150]~P6(x1501)+E(a3,x1501)+P6(f54(x1501))
% 0.70/0.74 [152]~P6(x1521)+E(a3,x1521)+P7(f4(x1521))
% 0.70/0.74 [169]~P6(x1691)+P1(x1691)+~E(f52(x1691),f51(x1691))
% 0.70/0.74 [193]~P6(x1931)+P3(x1931)+P11(f33(x1931),f34(x1931))
% 0.70/0.74 [194]~P6(x1941)+P3(x1941)+P11(f34(x1941),f33(x1941))
% 0.70/0.74 [214]~P6(x2141)+P4(x2141)+~P14(f49(x2141),f48(x2141))
% 0.70/0.74 [215]~P6(x2151)+P18(x2151)+~P11(f47(x2151),f46(x2151))
% 0.70/0.74 [216]~P6(x2161)+P5(x2161)+~P14(f44(x2161),f45(x2161))
% 0.70/0.74 [217]~P6(x2171)+P5(x2171)+~P14(f45(x2171),f44(x2171))
% 0.70/0.74 [218]~P6(x2181)+P19(x2181)+~P11(f42(x2181),f43(x2181))
% 0.70/0.74 [219]~P6(x2191)+P19(x2191)+~P11(f43(x2191),f42(x2191))
% 0.70/0.74 [181]~P6(x1811)+~P15(x1811)+E(f6(f35(x1811),a3),x1811)
% 0.70/0.74 [189]~P6(x1891)+E(a3,x1891)+E(f6(f53(x1891),f12(x1891)),x1891)
% 0.70/0.74 [190]~P6(x1901)+E(a3,x1901)+E(f6(f4(x1901),f54(x1901)),x1901)
% 0.70/0.74 [275]P2(x2751)+~P6(x2751)+E(f5(f5(f17(x2751),f6(f50(x2751),f16(x2751))),f6(f50(x2751),f15(x2751))),x2751)
% 0.70/0.74 [276]P4(x2761)+~P6(x2761)+E(f5(f5(f20(x2761),f6(f49(x2761),f19(x2761))),f6(f48(x2761),f18(x2761))),x2761)
% 0.70/0.74 [277]P18(x2771)+~P6(x2771)+E(f5(f5(f23(x2771),f6(f47(x2771),f22(x2771))),f6(f46(x2771),f21(x2771))),x2771)
% 0.70/0.74 [278]P5(x2781)+~P6(x2781)+E(f5(f5(f26(x2781),f6(f45(x2781),f25(x2781))),f6(f44(x2781),f24(x2781))),x2781)
% 0.70/0.74 [279]P19(x2791)+~P6(x2791)+E(f5(f5(f29(x2791),f6(f43(x2791),f28(x2791))),f6(f42(x2791),f27(x2791))),x2791)
% 0.70/0.74 [280]P3(x2801)+~P6(x2801)+E(f5(f5(f32(x2801),f6(f34(x2801),f31(x2801))),f6(f33(x2801),f30(x2801))),x2801)
% 0.70/0.74 [273]P1(x2731)+~P6(x2731)+E(f5(f14(x2731),f6(f52(x2731),f6(f51(x2731),f13(x2731)))),x2731)
% 0.70/0.74 [148]~P6(x1481)+P2(x1481)+P7(x1482)
% 0.70/0.74 [191]~P6(x1912)+~P7(x1911)+~E(f6(x1911,x1912),a3)
% 0.70/0.74 [192]~P6(x1922)+~P7(x1921)+~E(f6(x1921,x1922),x1922)
% 0.70/0.74 [201]~P6(x2012)+~P7(x2011)+P6(f6(x2011,x2012))
% 0.70/0.74 [202]~P6(x2021)+~P6(x2022)+P6(f5(x2021,x2022))
% 0.70/0.74 [203]~P6(x2032)+~P7(x2031)+E(f54(f6(x2031,x2032)),x2032)
% 0.70/0.74 [204]~P6(x2042)+~P7(x2041)+E(f4(f6(x2041,x2042)),x2041)
% 0.70/0.74 [232]~P6(x2322)+~P7(x2321)+E(f5(f6(x2321,a3),x2322),f6(x2321,x2322))
% 0.70/0.74 [234]~P7(x2341)+~P8(a8,a3)+~P13(a7,x2341)+~E(f6(x2341,a3),a2)
% 0.70/0.74 [178]P8(x1782,x1781)+~P6(x1782)+~P6(x1781)+E(x1781,x1782)
% 0.70/0.74 [179]P8(x1792,x1791)+~P7(x1792)+~P7(x1791)+E(x1791,x1792)
% 0.70/0.74 [198]~P6(x1982)+~P6(x1981)+~P8(x1981,x1982)+~E(x1981,x1982)
% 0.70/0.74 [199]~P7(x1992)+~P7(x1991)+~P14(x1991,x1992)+~E(x1991,x1992)
% 0.70/0.74 [200]~P7(x2002)+~P7(x2001)+~P8(x2001,x2002)+~E(x2001,x2002)
% 0.70/0.74 [209]~P7(x2091)+~P7(x2092)+~P11(x2092,x2091)+P10(x2091,x2092)
% 0.70/0.74 [210]~P7(x2101)+~P7(x2102)+~P10(x2102,x2101)+P11(x2101,x2102)
% 0.70/0.74 [211]~P7(x2112)+~P7(x2111)+~P14(x2111,x2112)+P11(x2111,x2112)
% 0.70/0.74 [212]~P7(x2121)+~P7(x2122)+~P12(x2122,x2121)+P14(x2121,x2122)
% 0.70/0.74 [213]~P7(x2131)+~P7(x2132)+~P14(x2132,x2131)+P12(x2131,x2132)
% 0.70/0.74 [223]~P14(x2231,x2232)+~P14(x2232,x2231)+~P7(x2231)+~P7(x2232)
% 0.70/0.74 [224]~P12(x2241,x2242)+~P12(x2242,x2241)+~P7(x2241)+~P7(x2242)
% 0.70/0.74 [195]~P6(x1951)+~P6(x1952)+E(a3,x1951)+~E(f5(x1952,x1951),a3)
% 0.70/0.74 [196]~P6(x1962)+~P6(x1961)+E(a3,x1961)+~E(f5(x1961,x1962),a3)
% 0.70/0.74 [197]~P6(x1971)+~P7(x1972)+P15(x1971)+~E(f6(x1972,a3),x1971)
% 0.70/0.74 [206]~P6(x2062)+~P7(x2061)+~E(a3,x2062)+P4(f6(x2061,x2062))
% 0.70/0.74 [207]~P6(x2072)+~P7(x2071)+~E(a3,x2072)+P18(f6(x2071,x2072))
% 0.70/0.74 [208]~P6(x2081)+~P6(x2082)+E(a3,x2081)+E(f4(f5(x2081,x2082)),f4(x2081))
% 0.70/0.74 [235]~P6(x2351)+~P6(x2352)+E(a3,x2351)+E(f54(f5(x2351,x2352)),f5(f54(x2351),x2352))
% 0.70/0.74 [242]~P6(x2421)+~P6(x2422)+~P9(x2422,x2421)+E(f5(x2421,f41(x2422,x2421)),x2422)
% 0.70/0.74 [243]~P6(x2432)+~P6(x2431)+~P17(x2431,x2432)+E(f5(f40(x2431,x2432),x2432),x2431)
% 0.70/0.74 [272]~P6(x2722)+~P6(x2721)+~P16(x2721,x2722)+E(f5(f5(f39(x2721,x2722),x2722),f38(x2722,x2721)),x2721)
% 0.70/0.74 [271]~P6(x2711)+~P7(x2712)+~P13(x2711,x2712)+E(f5(f37(x2711,x2712),f6(x2712,f36(x2712,x2711))),x2711)
% 0.70/0.74 [261]~P6(x2613)+~P6(x2612)+~P7(x2611)+E(f5(f6(x2611,x2612),x2613),f6(x2611,f5(x2612,x2613)))
% 0.70/0.74 [262]~P6(x2621)+~P6(x2622)+~P6(x2623)+E(f5(f5(x2621,x2622),x2623),f5(x2621,f5(x2622,x2623)))
% 0.70/0.74 [221]P14(x2211,x2212)+~P7(x2212)+~P7(x2211)+~P11(x2211,x2212)+E(x2211,x2212)
% 0.70/0.74 [227]~P6(x2272)+~P6(x2271)+~P16(x2272,x2271)+~P16(x2271,x2272)+E(x2271,x2272)
% 0.70/0.74 [228]~P6(x2282)+~P6(x2281)+~P17(x2282,x2281)+~P17(x2281,x2282)+E(x2281,x2282)
% 0.70/0.74 [229]~P6(x2292)+~P6(x2291)+~P9(x2292,x2291)+~P9(x2291,x2292)+E(x2291,x2292)
% 0.70/0.74 [230]~P7(x2302)+~P7(x2301)+~P10(x2302,x2301)+~P10(x2301,x2302)+E(x2301,x2302)
% 0.70/0.74 [231]~P7(x2312)+~P7(x2311)+~P11(x2312,x2311)+~P11(x2311,x2312)+E(x2311,x2312)
% 0.70/0.74 [180]~P6(x1802)+~P6(x1801)+~E(a3,x1802)+~E(a3,x1801)+E(f5(x1801,x1802),a3)
% 0.70/0.74 [238]P4(x2381)+~P6(x2381)+~P7(x2382)+E(a3,x2381)+~P4(f6(x2382,x2381))
% 0.70/0.74 [239]P18(x2391)+~P6(x2391)+~P7(x2392)+E(a3,x2391)+~P18(f6(x2392,x2391))
% 0.70/0.74 [252]~P6(x2521)+~P7(x2522)+E(a3,x2521)+P11(x2522,f4(x2521))+~P18(f6(x2522,x2521))
% 0.70/0.74 [253]~P6(x2531)+~P7(x2532)+E(a3,x2531)+P14(x2532,f4(x2531))+~P4(f6(x2532,x2531))
% 0.70/0.74 [225]~P6(x2251)+~P6(x2252)+~P6(x2253)+P17(x2251,x2252)+~E(f5(x2253,x2252),x2251)
% 0.70/0.74 [226]~P6(x2261)+~P6(x2263)+~P6(x2262)+P9(x2261,x2262)+~E(f5(x2262,x2263),x2261)
% 0.70/0.74 [233]~E(x2333,x2331)+~P6(x2332)+~P7(x2331)+~P7(x2333)+P13(f6(x2331,x2332),x2333)
% 0.70/0.74 [236]~P6(x2362)+~P6(x2361)+~P6(x2363)+E(x2361,x2362)+~E(f5(x2363,x2361),f5(x2363,x2362))
% 0.70/0.74 [237]~P6(x2372)+~P6(x2373)+~P6(x2371)+E(x2371,x2372)+~E(f5(x2371,x2373),f5(x2372,x2373))
% 0.70/0.74 [254]~P6(x2541)+~P6(x2543)+~P6(x2542)+~P17(x2542,x2543)+P17(f5(x2541,x2542),x2543)
% 0.70/0.74 [255]~P6(x2552)+~P6(x2553)+~P6(x2551)+~P9(x2551,x2553)+P9(f5(x2551,x2552),x2553)
% 0.70/0.74 [256]~P6(x2562)+~P7(x2561)+~P7(x2563)+~P13(x2562,x2563)+P13(f6(x2561,x2562),x2563)
% 0.70/0.74 [257]~P6(x2571)+~P6(x2572)+~P7(x2573)+~P13(x2572,x2573)+P13(f5(x2571,x2572),x2573)
% 0.70/0.74 [258]~P6(x2582)+~P6(x2581)+~P7(x2583)+~P13(x2581,x2583)+P13(f5(x2581,x2582),x2583)
% 0.70/0.74 [259]~P4(x2591)+~P6(x2591)+~P7(x2592)+~P14(x2592,f4(x2591))+E(a3,x2591)+P4(f6(x2592,x2591))
% 0.70/0.74 [260]~P18(x2601)+~P6(x2601)+~P7(x2602)+~P11(x2602,f4(x2601))+E(a3,x2601)+P18(f6(x2602,x2601))
% 0.70/0.74 [244]~P7(x2442)+~P7(x2441)+~P10(x2443,x2442)+~P10(x2441,x2443)+P10(x2441,x2442)+~P7(x2443)
% 0.70/0.74 [245]~P6(x2452)+~P6(x2451)+~P16(x2453,x2452)+~P16(x2451,x2453)+P16(x2451,x2452)+~P6(x2453)
% 0.70/0.74 [246]~P6(x2462)+~P6(x2461)+~P17(x2463,x2462)+~P17(x2461,x2463)+P17(x2461,x2462)+~P6(x2463)
% 0.70/0.74 [247]~P6(x2472)+~P6(x2471)+~P9(x2473,x2472)+~P9(x2471,x2473)+P9(x2471,x2472)+~P6(x2473)
% 0.70/0.74 [248]~P7(x2482)+~P7(x2481)+~P11(x2483,x2482)+~P11(x2481,x2483)+P11(x2481,x2482)+~P7(x2483)
% 0.70/0.74 [249]~P7(x2492)+~P7(x2491)+~P11(x2491,x2493)+~P14(x2493,x2492)+P14(x2491,x2492)+~P7(x2493)
% 0.70/0.74 [250]~P7(x2502)+~P7(x2501)+~P14(x2503,x2502)+~P14(x2501,x2503)+P14(x2501,x2502)+~P7(x2503)
% 0.70/0.74 [251]~P7(x2512)+~P7(x2511)+~P12(x2513,x2512)+~P12(x2511,x2513)+P12(x2511,x2512)+~P7(x2513)
% 0.70/0.74 [263]~P6(x2633)+~P7(x2632)+~P7(x2631)+E(x2631,x2632)+P13(x2633,x2632)+~P13(f6(x2631,x2633),x2632)
% 0.70/0.74 [266]~P6(x2661)+~P6(x2663)+~P7(x2662)+P13(x2661,x2662)+P13(x2663,x2662)+~P13(f5(x2663,x2661),x2662)
% 0.70/0.74 [240]~P6(x2402)+~P6(x2401)+~P7(x2404)+~P7(x2403)+E(x2401,x2402)+~E(f6(x2403,x2401),f6(x2404,x2402))
% 0.70/0.74 [241]~P6(x2414)+~P6(x2413)+~P7(x2412)+~P7(x2411)+E(x2411,x2412)+~E(f6(x2411,x2413),f6(x2412,x2414))
% 0.70/0.74 [268]~P7(x2682)+~P7(x2681)+E(x2681,x2682)+~P6(x2683)+~P6(x2684)+~P9(f6(x2681,x2684),f6(x2682,x2683))
% 0.70/0.74 [270]~P6(x2702)+~P6(x2701)+P9(x2701,x2702)+~P7(x2703)+~P7(x2704)+~P9(f6(x2704,x2701),f6(x2703,x2702))
% 0.70/0.74 [264]~P6(x2641)+~P6(x2644)+~P6(x2643)+~P7(x2642)+P13(x2641,x2642)+~E(f5(x2643,f6(x2642,x2644)),x2641)
% 0.70/0.74 [265]~P6(x2651)+~P6(x2654)+~P6(x2652)+~P6(x2653)+P16(x2651,x2652)+~E(f5(f5(x2653,x2652),x2654),x2651)
% 0.70/0.74 [269]~P6(x2691)+~P6(x2693)+~P6(x2694)+~P6(x2692)+~P16(x2692,x2694)+P16(f5(f5(x2691,x2692),x2693),x2694)
% 0.70/0.74 [205]~P6(x2052)+~P6(x2051)+E(x2051,x2052)+E(a3,x2052)+E(a3,x2051)+~E(f54(x2051),f54(x2052))+~E(f4(x2051),f4(x2052))
% 0.70/0.74 [267]~E(x2671,x2673)+~P6(x2674)+~P6(x2672)+~P7(x2673)+~P7(x2671)+~P9(x2672,x2674)+P9(f6(x2671,x2672),f6(x2673,x2674))
% 0.70/0.74 [281]~P2(x2815)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P6(x2811)+~P7(x2812)+~E(f5(f5(x2811,f6(x2812,x2813)),f6(x2812,x2814)),x2815)
% 0.70/0.74 [274]~P1(x2745)+~P6(x2745)+~P6(x2744)+~P6(x2743)+~P7(x2742)+~P7(x2741)+E(x2741,x2742)+~E(f5(x2743,f6(x2741,f6(x2742,x2744))),x2745)
% 0.70/0.74 [282]~P18(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2822)+~P7(x2821)+P11(x2821,x2822)+~E(f5(f5(x2823,f6(x2821,x2824)),f6(x2822,x2825)),x2826)
% 0.70/0.74 [283]~P4(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2834)+~P6(x2833)+~P7(x2832)+~P7(x2831)+P14(x2831,x2832)+~E(f5(f5(x2833,f6(x2831,x2834)),f6(x2832,x2835)),x2836)
% 0.70/0.74 [284]P11(x2842,x2841)+~P19(x2846)+~P6(x2846)+~P6(x2845)+~P6(x2844)+~P6(x2843)+~P7(x2841)+~P7(x2842)+P11(x2841,x2842)+~E(f5(f5(x2843,f6(x2842,x2844)),f6(x2841,x2845)),x2846)
% 0.70/0.74 [285]P14(x2852,x2851)+~P5(x2856)+~P6(x2856)+~P6(x2855)+~P6(x2854)+~P6(x2853)+~P7(x2851)+~P7(x2852)+P14(x2851,x2852)+~E(f5(f5(x2853,f6(x2852,x2854)),f6(x2851,x2855)),x2856)
% 0.70/0.74 [286]~P3(x2866)+~P6(x2866)+~P6(x2865)+~P6(x2863)+~P6(x2861)+~P7(x2864)+~P7(x2862)+~P11(x2864,x2862)+~P11(x2862,x2864)+~E(f5(f5(x2861,f6(x2862,x2863)),f6(x2864,x2865)),x2866)
% 0.70/0.74 %EqnAxiom
% 0.70/0.74 [1]E(x11,x11)
% 0.70/0.74 [2]E(x22,x21)+~E(x21,x22)
% 0.70/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.70/0.74 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.70/0.74 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.70/0.74 [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 0.70/0.74 [7]~E(x71,x72)+E(f15(x71),f15(x72))
% 0.70/0.74 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 0.70/0.74 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 0.70/0.74 [10]~E(x101,x102)+E(f18(x101),f18(x102))
% 0.70/0.74 [11]~E(x111,x112)+E(f19(x111),f19(x112))
% 0.70/0.74 [12]~E(x121,x122)+E(f20(x121),f20(x122))
% 0.70/0.74 [13]~E(x131,x132)+E(f21(x131),f21(x132))
% 0.70/0.74 [14]~E(x141,x142)+E(f22(x141),f22(x142))
% 0.70/0.74 [15]~E(x151,x152)+E(f23(x151),f23(x152))
% 0.70/0.74 [16]~E(x161,x162)+E(f24(x161),f24(x162))
% 0.70/0.74 [17]~E(x171,x172)+E(f25(x171),f25(x172))
% 0.70/0.74 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 0.70/0.74 [19]~E(x191,x192)+E(f27(x191),f27(x192))
% 0.70/0.74 [20]~E(x201,x202)+E(f28(x201),f28(x202))
% 0.70/0.74 [21]~E(x211,x212)+E(f29(x211),f29(x212))
% 0.70/0.74 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 0.70/0.74 [23]~E(x231,x232)+E(f31(x231),f31(x232))
% 0.70/0.74 [24]~E(x241,x242)+E(f32(x241),f32(x242))
% 0.70/0.74 [25]~E(x251,x252)+E(f53(x251),f53(x252))
% 0.70/0.74 [26]~E(x261,x262)+E(f51(x261),f51(x262))
% 0.70/0.74 [27]~E(x271,x272)+E(f52(x271),f52(x272))
% 0.70/0.74 [28]~E(x281,x282)+E(f50(x281),f50(x282))
% 0.70/0.74 [29]~E(x291,x292)+E(f48(x291),f48(x292))
% 0.70/0.74 [30]~E(x301,x302)+E(f49(x301),f49(x302))
% 0.70/0.74 [31]~E(x311,x312)+E(f46(x311),f46(x312))
% 0.70/0.74 [32]~E(x321,x322)+E(f47(x321),f47(x322))
% 0.70/0.74 [33]~E(x331,x332)+E(f44(x331),f44(x332))
% 0.70/0.74 [34]~E(x341,x342)+E(f45(x341),f45(x342))
% 0.70/0.74 [35]~E(x351,x352)+E(f42(x351),f42(x352))
% 0.70/0.74 [36]~E(x361,x362)+E(f43(x361),f43(x362))
% 0.70/0.74 [37]~E(x371,x372)+E(f33(x371),f33(x372))
% 0.70/0.74 [38]~E(x381,x382)+E(f34(x381),f34(x382))
% 0.70/0.74 [39]~E(x391,x392)+E(f35(x391),f35(x392))
% 0.70/0.74 [40]~E(x401,x402)+E(f38(x401,x403),f38(x402,x403))
% 0.70/0.74 [41]~E(x411,x412)+E(f38(x413,x411),f38(x413,x412))
% 0.70/0.74 [42]~E(x421,x422)+E(f39(x421,x423),f39(x422,x423))
% 0.70/0.74 [43]~E(x431,x432)+E(f39(x433,x431),f39(x433,x432))
% 0.70/0.74 [44]~E(x441,x442)+E(f40(x441,x443),f40(x442,x443))
% 0.70/0.74 [45]~E(x451,x452)+E(f40(x453,x451),f40(x453,x452))
% 0.70/0.74 [46]~E(x461,x462)+E(f41(x461,x463),f41(x462,x463))
% 0.70/0.74 [47]~E(x471,x472)+E(f41(x473,x471),f41(x473,x472))
% 0.70/0.74 [48]~E(x481,x482)+E(f36(x481,x483),f36(x482,x483))
% 0.70/0.74 [49]~E(x491,x492)+E(f36(x493,x491),f36(x493,x492))
% 0.70/0.74 [50]~E(x501,x502)+E(f37(x501,x503),f37(x502,x503))
% 0.70/0.74 [51]~E(x511,x512)+E(f37(x513,x511),f37(x513,x512))
% 0.70/0.74 [52]~E(x521,x522)+E(f54(x521),f54(x522))
% 0.70/0.74 [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 0.70/0.74 [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 0.70/0.74 [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 0.70/0.74 [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 0.70/0.74 [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 0.70/0.74 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.70/0.74 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.70/0.74 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.70/0.74 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.70/0.74 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.70/0.74 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.70/0.74 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.70/0.74 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.70/0.74 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.70/0.74 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 0.70/0.74 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 0.70/0.74 [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 0.70/0.74 [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 0.70/0.74 [71]P9(x712,x713)+~E(x711,x712)+~P9(x711,x713)
% 0.70/0.74 [72]P9(x723,x722)+~E(x721,x722)+~P9(x723,x721)
% 0.70/0.74 [73]P13(x732,x733)+~E(x731,x732)+~P13(x731,x733)
% 0.70/0.74 [74]P13(x743,x742)+~E(x741,x742)+~P13(x743,x741)
% 0.70/0.74 [75]~P15(x751)+P15(x752)+~E(x751,x752)
% 0.70/0.74 [76]P17(x762,x763)+~E(x761,x762)+~P17(x761,x763)
% 0.70/0.74 [77]P17(x773,x772)+~E(x771,x772)+~P17(x773,x771)
% 0.70/0.74 [78]P10(x782,x783)+~E(x781,x782)+~P10(x781,x783)
% 0.70/0.74 [79]P10(x793,x792)+~E(x791,x792)+~P10(x793,x791)
% 0.70/0.74 [80]P8(x802,x803)+~E(x801,x802)+~P8(x801,x803)
% 0.70/0.74 [81]P8(x813,x812)+~E(x811,x812)+~P8(x813,x811)
% 0.70/0.74 [82]P16(x822,x823)+~E(x821,x822)+~P16(x821,x823)
% 0.70/0.74 [83]P16(x833,x832)+~E(x831,x832)+~P16(x833,x831)
% 0.70/0.74 [84]P12(x842,x843)+~E(x841,x842)+~P12(x841,x843)
% 0.70/0.74 [85]P12(x853,x852)+~E(x851,x852)+~P12(x853,x851)
% 0.70/0.74
% 0.70/0.74 %-------------------------------------------
% 0.70/0.74 cnf(291,plain,
% 0.70/0.74 (~P8(x2911,x2911)+~P6(x2911)+~P6(x2911)),
% 0.70/0.74 inference(equality_inference,[],[198])).
% 0.70/0.74 cnf(293,plain,
% 0.70/0.74 (~P8(x2931,x2931)+~P7(x2931)+~P7(x2931)),
% 0.70/0.74 inference(equality_inference,[],[200])).
% 0.70/0.74 cnf(320,plain,
% 0.70/0.74 (P8(a8,a3)),
% 0.70/0.74 inference(scs_inference,[],[86,87,96,138,100,2,177,291,293,80])).
% 0.70/0.74 cnf(344,plain,
% 0.70/0.74 (P7(a11)),
% 0.70/0.74 inference(scs_inference,[],[320,158])).
% 0.70/0.74 cnf(345,plain,
% 0.70/0.74 (E(f6(a11,a3),a1)),
% 0.70/0.74 inference(scs_inference,[],[320,174])).
% 0.70/0.74 cnf(346,plain,
% 0.70/0.74 (P13(a8,a11)),
% 0.70/0.74 inference(scs_inference,[],[320,175])).
% 0.70/0.74 cnf(347,plain,
% 0.70/0.74 (~P7(x3471)+~P13(a7,x3471)+~E(f6(x3471,a3),a2)),
% 0.70/0.74 inference(scs_inference,[],[320,234])).
% 0.70/0.74 cnf(350,plain,
% 0.70/0.74 (E(a8,a7)),
% 0.70/0.74 inference(scs_inference,[],[87,101,177,2])).
% 0.70/0.74 cnf(359,plain,
% 0.70/0.74 (~P15(a1)+P15(a2)),
% 0.70/0.74 inference(scs_inference,[],[86,87,98,99,320,101,95,177,2,293,291,198,64,60,75])).
% 0.70/0.74 cnf(378,plain,
% 0.70/0.74 ($false),
% 0.70/0.74 inference(scs_inference,[],[86,138,346,345,97,98,344,350,177,2,73,65,3,291,293,81,197,359,347]),
% 0.70/0.74 ['proof']).
% 0.70/0.74 % SZS output end Proof
% 0.70/0.74 % Total time :0.090000s
%------------------------------------------------------------------------------