%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC185-1 : 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 : 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 16:14:23 EDT 2024
% Result : Unsatisfiable 0.47s 0.59s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWC185-1 : TPTP v8.2.0. Released v2.4.0.
% 0.00/0.07 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.06/0.25 % Computer : n027.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Thu Jun 20 01:55:53 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.10/0.41 start to proof:theBenchmark
% 0.47/0.58 %-------------------------------------------
% 0.47/0.58 % File :CSE---1.7
% 0.47/0.58 % Problem :theBenchmark
% 0.47/0.58 % Transform :cnf
% 0.47/0.58 % Format :tptp:raw
% 0.47/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.47/0.58
% 0.47/0.58 % Result :Theorem 0.120000s
% 0.47/0.58 % Output :CNFRefutation 0.120000s
% 0.47/0.58 %-------------------------------------------
% 0.47/0.59 %--------------------------------------------------------------------------
% 0.47/0.59 % File : SWC185-1 : TPTP v8.2.0. Released v2.4.0.
% 0.47/0.59 % Domain : Software Creation
% 0.47/0.59 % Problem : cond_pst_different3_x_pst_different3
% 0.47/0.59 % Version : [Wei00] axioms.
% 0.47/0.59 % English : Find components in a software library that match a given target
% 0.47/0.59 % specification given in first-order logic. The components are
% 0.47/0.59 % specified in first-order logic as well. The problem represents
% 0.47/0.59 % a test of one library module specification against a target
% 0.47/0.59 % specification.
% 0.47/0.59
% 0.47/0.59 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.47/0.59 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.47/0.59 % Source : [TPTP]
% 0.47/0.59 % Names :
% 0.47/0.59
% 0.47/0.59 % Status : Unsatisfiable
% 0.47/0.59 % Rating : 0.20 v8.2.0, 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.30 v6.1.0, 0.43 v6.0.0, 0.30 v5.5.0, 0.50 v5.2.0, 0.38 v5.1.0, 0.35 v5.0.0, 0.36 v4.1.0, 0.38 v4.0.1, 0.27 v4.0.0, 0.36 v3.7.0, 0.30 v3.5.0, 0.36 v3.4.0, 0.42 v3.3.0, 0.29 v3.2.0, 0.31 v3.1.0, 0.27 v2.7.0, 0.33 v2.6.0, 0.22 v2.5.0, 0.33 v2.4.0
% 0.47/0.59 % Syntax : Number of clauses : 198 ( 64 unt; 34 nHn; 155 RR)
% 0.47/0.59 % Number of literals : 626 ( 103 equ; 408 neg)
% 0.47/0.59 % Maximal clause size : 10 ( 3 avg)
% 0.47/0.59 % Maximal term depth : 5 ( 1 avg)
% 0.47/0.59 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.47/0.59 % Number of functors : 56 ( 56 usr; 10 con; 0-2 aty)
% 0.47/0.59 % Number of variables : 332 ( 49 sgn)
% 0.47/0.59 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.47/0.59
% 0.47/0.59 % Comments : Created by CNF conversion from SWC185+1
% 0.47/0.59 %--------------------------------------------------------------------------
% 0.47/0.59 %----Include list specification axioms
% 0.47/0.59 include('Axioms/SWC001-0.ax').
% 0.47/0.59 %--------------------------------------------------------------------------
% 0.47/0.59 cnf(co1_1,negated_conjecture,
% 0.47/0.59 ssList(sk1) ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_2,negated_conjecture,
% 0.47/0.59 ssList(sk2) ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_3,negated_conjecture,
% 0.47/0.59 ssList(sk3) ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_4,negated_conjecture,
% 0.47/0.59 ssList(sk4) ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_5,negated_conjecture,
% 0.47/0.59 sk2 = sk4 ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_6,negated_conjecture,
% 0.47/0.59 sk1 = sk3 ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_7,negated_conjecture,
% 0.47/0.59 ( ~ ssItem(A)
% 0.47/0.59 | ~ ssList(B)
% 0.47/0.59 | ~ ssList(C)
% 0.47/0.59 | app(app(B,cons(A,nil)),C) != sk3
% 0.47/0.59 | ~ memberP(B,A) ) ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_8,negated_conjecture,
% 0.47/0.59 ( ~ ssItem(A)
% 0.47/0.59 | ~ ssList(B)
% 0.47/0.59 | ~ ssList(C)
% 0.47/0.59 | app(app(B,cons(A,nil)),C) != sk3
% 0.47/0.59 | ~ memberP(C,A) ) ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_9,negated_conjecture,
% 0.47/0.59 ssItem(sk5) ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_10,negated_conjecture,
% 0.47/0.59 ssList(sk6) ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_11,negated_conjecture,
% 0.47/0.59 ssList(sk7) ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_12,negated_conjecture,
% 0.47/0.59 app(app(sk6,cons(sk5,nil)),sk7) = sk1 ).
% 0.47/0.59
% 0.47/0.59 cnf(co1_13,negated_conjecture,
% 0.47/0.59 ( memberP(sk6,sk5)
% 0.47/0.59 | memberP(sk7,sk5) ) ).
% 0.47/0.59
% 0.47/0.59 %--------------------------------------------------------------------------
% 0.47/0.59 %-------------------------------------------
% 0.47/0.59 % Proof found
% 0.47/0.59 % SZS status Theorem for theBenchmark
% 0.47/0.59 % SZS output start Proof
% 0.47/0.59 %ClaNum:283(EqnAxiom:85)
% 0.47/0.59 %VarNum:907(SingletonVarNum:328)
% 0.47/0.59 %MaxLitNum:10
% 0.47/0.59 %MaxfuncDepth:4
% 0.47/0.59 %SharedTerms:37
% 0.47/0.59 %goalClause: 86 87 96 97 98 99 100 101 104 147 168 269 270
% 0.47/0.59 %singleGoalClaCount:10
% 0.47/0.59 [86]E(a1,a2)
% 0.47/0.59 [87]E(a7,a8)
% 0.47/0.59 [88]P1(a3)
% 0.47/0.59 [89]P2(a3)
% 0.47/0.59 [90]P4(a3)
% 0.47/0.59 [91]P18(a3)
% 0.47/0.59 [92]P5(a3)
% 0.47/0.59 [93]P19(a3)
% 0.47/0.59 [94]P3(a3)
% 0.47/0.59 [95]P6(a3)
% 0.47/0.59 [96]P6(a2)
% 0.47/0.59 [97]P6(a7)
% 0.47/0.59 [98]P6(a1)
% 0.47/0.59 [99]P6(a8)
% 0.47/0.59 [100]P6(a9)
% 0.47/0.59 [101]P6(a11)
% 0.47/0.59 [102]P7(a12)
% 0.47/0.59 [103]P7(a13)
% 0.47/0.59 [104]P7(a10)
% 0.47/0.59 [148]~E(a13,a12)
% 0.47/0.59 [149]~P8(a3)
% 0.47/0.59 [147]E(f5(f5(a9,f4(a10,a3)),a11),a2)
% 0.47/0.59 [105]P6(f14(x1051))
% 0.47/0.59 [106]P6(f15(x1061))
% 0.47/0.59 [107]P6(f16(x1071))
% 0.47/0.59 [108]P6(f17(x1081))
% 0.47/0.59 [109]P6(f18(x1091))
% 0.47/0.59 [110]P6(f19(x1101))
% 0.47/0.59 [111]P6(f20(x1111))
% 0.47/0.59 [112]P6(f21(x1121))
% 0.47/0.59 [113]P6(f22(x1131))
% 0.47/0.59 [114]P6(f23(x1141))
% 0.47/0.59 [115]P6(f24(x1151))
% 0.47/0.59 [116]P6(f25(x1161))
% 0.47/0.59 [117]P6(f26(x1171))
% 0.47/0.59 [118]P6(f27(x1181))
% 0.47/0.59 [119]P6(f28(x1191))
% 0.47/0.59 [120]P6(f29(x1201))
% 0.47/0.59 [121]P6(f30(x1211))
% 0.47/0.59 [122]P6(f31(x1221))
% 0.47/0.59 [123]P6(f32(x1231))
% 0.47/0.59 [124]P6(f33(x1241))
% 0.47/0.59 [125]P6(f34(x1251))
% 0.47/0.59 [126]P7(f55(x1261))
% 0.47/0.59 [127]P7(f53(x1271))
% 0.47/0.59 [128]P7(f54(x1281))
% 0.47/0.59 [129]P7(f52(x1291))
% 0.47/0.59 [130]P7(f50(x1301))
% 0.47/0.59 [131]P7(f51(x1311))
% 0.47/0.59 [132]P7(f48(x1321))
% 0.47/0.59 [133]P7(f49(x1331))
% 0.47/0.59 [134]P7(f46(x1341))
% 0.47/0.59 [135]P7(f47(x1351))
% 0.47/0.59 [136]P7(f44(x1361))
% 0.47/0.59 [137]P7(f45(x1371))
% 0.47/0.59 [138]P7(f35(x1381))
% 0.47/0.59 [139]P7(f36(x1391))
% 0.47/0.59 [140]P7(f37(x1401))
% 0.47/0.59 [141]P6(f40(x1411,x1412))
% 0.47/0.59 [142]P6(f41(x1421,x1422))
% 0.47/0.59 [143]P6(f42(x1431,x1432))
% 0.47/0.59 [144]P6(f43(x1441,x1442))
% 0.47/0.59 [145]P6(f38(x1451,x1452))
% 0.47/0.59 [146]P6(f39(x1461,x1462))
% 0.47/0.59 [168]P15(a9,a10)+P15(a11,a10)
% 0.47/0.59 [155]~P6(x1551)+P9(x1551,a3)
% 0.47/0.59 [156]~P6(x1561)+P10(x1561,a3)
% 0.47/0.59 [157]~P6(x1571)+P11(x1571,a3)
% 0.47/0.59 [160]~P7(x1601)+P12(x1601,x1601)
% 0.47/0.59 [161]~P6(x1611)+P9(x1611,x1611)
% 0.47/0.59 [162]~P6(x1621)+P10(x1621,x1621)
% 0.47/0.59 [163]~P6(x1631)+P11(x1631,x1631)
% 0.47/0.59 [164]~P7(x1641)+P13(x1641,x1641)
% 0.47/0.59 [170]~P7(x1701)+~P15(a3,x1701)
% 0.47/0.59 [174]~P16(x1741,x1741)+~P7(x1741)
% 0.47/0.59 [158]~P6(x1581)+E(f5(x1581,a3),x1581)
% 0.47/0.59 [159]~P6(x1591)+E(f5(a3,x1591),x1591)
% 0.47/0.59 [179]~P7(x1791)+P1(f4(x1791,a3))
% 0.47/0.59 [180]~P7(x1801)+P2(f4(x1801,a3))
% 0.47/0.59 [181]~P7(x1811)+P4(f4(x1811,a3))
% 0.47/0.59 [182]~P7(x1821)+P18(f4(x1821,a3))
% 0.47/0.59 [183]~P7(x1831)+P5(f4(x1831,a3))
% 0.47/0.59 [184]~P7(x1841)+P19(f4(x1841,a3))
% 0.47/0.59 [185]~P7(x1851)+P3(f4(x1851,a3))
% 0.47/0.59 [165]~P6(x1651)+~E(a3,x1651)+P9(a3,x1651)
% 0.47/0.59 [166]~P6(x1661)+~E(a3,x1661)+P10(a3,x1661)
% 0.47/0.59 [167]~P6(x1671)+~E(a3,x1671)+P11(a3,x1671)
% 0.47/0.59 [171]~P6(x1711)+~P9(a3,x1711)+E(a3,x1711)
% 0.47/0.59 [172]~P6(x1721)+~P10(a3,x1721)+E(a3,x1721)
% 0.47/0.59 [173]~P6(x1731)+~P11(a3,x1731)+E(a3,x1731)
% 0.47/0.59 [152]~P6(x1521)+E(a3,x1521)+P6(f56(x1521))
% 0.47/0.59 [154]~P6(x1541)+E(a3,x1541)+P7(f6(x1541))
% 0.47/0.59 [169]~P6(x1691)+P1(x1691)+~E(f54(x1691),f53(x1691))
% 0.47/0.59 [190]~P6(x1901)+P3(x1901)+P13(f35(x1901),f36(x1901))
% 0.47/0.59 [191]~P6(x1911)+P3(x1911)+P13(f36(x1911),f35(x1911))
% 0.47/0.59 [211]~P6(x2111)+P4(x2111)+~P16(f51(x2111),f50(x2111))
% 0.47/0.59 [212]~P6(x2121)+P18(x2121)+~P13(f49(x2121),f48(x2121))
% 0.47/0.59 [213]~P6(x2131)+P5(x2131)+~P16(f46(x2131),f47(x2131))
% 0.47/0.59 [214]~P6(x2141)+P5(x2141)+~P16(f47(x2141),f46(x2141))
% 0.47/0.59 [215]~P6(x2151)+P19(x2151)+~P13(f44(x2151),f45(x2151))
% 0.47/0.59 [216]~P6(x2161)+P19(x2161)+~P13(f45(x2161),f44(x2161))
% 0.47/0.59 [178]~P6(x1781)+~P8(x1781)+E(f4(f37(x1781),a3),x1781)
% 0.47/0.59 [186]~P6(x1861)+E(a3,x1861)+E(f4(f55(x1861),f14(x1861)),x1861)
% 0.47/0.59 [187]~P6(x1871)+E(a3,x1871)+E(f4(f6(x1871),f56(x1871)),x1871)
% 0.47/0.59 [272]P2(x2721)+~P6(x2721)+E(f5(f5(f19(x2721),f4(f52(x2721),f18(x2721))),f4(f52(x2721),f17(x2721))),x2721)
% 0.47/0.59 [273]P4(x2731)+~P6(x2731)+E(f5(f5(f22(x2731),f4(f51(x2731),f21(x2731))),f4(f50(x2731),f20(x2731))),x2731)
% 0.47/0.59 [274]P18(x2741)+~P6(x2741)+E(f5(f5(f25(x2741),f4(f49(x2741),f24(x2741))),f4(f48(x2741),f23(x2741))),x2741)
% 0.47/0.59 [275]P5(x2751)+~P6(x2751)+E(f5(f5(f28(x2751),f4(f47(x2751),f27(x2751))),f4(f46(x2751),f26(x2751))),x2751)
% 0.47/0.59 [276]P19(x2761)+~P6(x2761)+E(f5(f5(f31(x2761),f4(f45(x2761),f30(x2761))),f4(f44(x2761),f29(x2761))),x2761)
% 0.47/0.59 [277]P3(x2771)+~P6(x2771)+E(f5(f5(f34(x2771),f4(f36(x2771),f33(x2771))),f4(f35(x2771),f32(x2771))),x2771)
% 0.47/0.59 [268]P1(x2681)+~P6(x2681)+E(f5(f16(x2681),f4(f54(x2681),f4(f53(x2681),f15(x2681)))),x2681)
% 0.47/0.59 [150]~P6(x1501)+P2(x1501)+P7(x1502)
% 0.47/0.59 [188]~P6(x1882)+~P7(x1881)+~E(f4(x1881,x1882),a3)
% 0.47/0.59 [189]~P6(x1892)+~P7(x1891)+~E(f4(x1891,x1892),x1892)
% 0.47/0.59 [198]~P6(x1982)+~P7(x1981)+P6(f4(x1981,x1982))
% 0.47/0.59 [199]~P6(x1991)+~P6(x1992)+P6(f5(x1991,x1992))
% 0.47/0.59 [200]~P6(x2002)+~P7(x2001)+E(f56(f4(x2001,x2002)),x2002)
% 0.47/0.59 [201]~P6(x2012)+~P7(x2011)+E(f6(f4(x2011,x2012)),x2011)
% 0.47/0.59 [228]~P6(x2282)+~P7(x2281)+E(f5(f4(x2281,a3),x2282),f4(x2281,x2282))
% 0.47/0.59 [175]P17(x1752,x1751)+~P6(x1752)+~P6(x1751)+E(x1751,x1752)
% 0.47/0.59 [176]P17(x1762,x1761)+~P7(x1762)+~P7(x1761)+E(x1761,x1762)
% 0.47/0.59 [195]~P6(x1952)+~P6(x1951)+~P17(x1951,x1952)+~E(x1951,x1952)
% 0.47/0.59 [196]~P7(x1962)+~P7(x1961)+~P16(x1961,x1962)+~E(x1961,x1962)
% 0.47/0.59 [197]~P7(x1972)+~P7(x1971)+~P17(x1971,x1972)+~E(x1971,x1972)
% 0.47/0.59 [206]~P7(x2061)+~P7(x2062)+~P13(x2062,x2061)+P12(x2061,x2062)
% 0.47/0.59 [207]~P7(x2071)+~P7(x2072)+~P12(x2072,x2071)+P13(x2071,x2072)
% 0.47/0.59 [208]~P7(x2082)+~P7(x2081)+~P16(x2081,x2082)+P13(x2081,x2082)
% 0.47/0.59 [209]~P7(x2091)+~P7(x2092)+~P14(x2092,x2091)+P16(x2091,x2092)
% 0.47/0.59 [210]~P7(x2101)+~P7(x2102)+~P16(x2102,x2101)+P14(x2101,x2102)
% 0.47/0.59 [219]~P16(x2191,x2192)+~P16(x2192,x2191)+~P7(x2191)+~P7(x2192)
% 0.47/0.59 [220]~P14(x2201,x2202)+~P14(x2202,x2201)+~P7(x2201)+~P7(x2202)
% 0.47/0.59 [192]~P6(x1921)+~P6(x1922)+E(a3,x1921)+~E(f5(x1922,x1921),a3)
% 0.47/0.59 [193]~P6(x1932)+~P6(x1931)+E(a3,x1931)+~E(f5(x1931,x1932),a3)
% 0.47/0.59 [194]~P6(x1941)+~P7(x1942)+P8(x1941)+~E(f4(x1942,a3),x1941)
% 0.47/0.59 [203]~P6(x2032)+~P7(x2031)+~E(a3,x2032)+P4(f4(x2031,x2032))
% 0.47/0.59 [204]~P6(x2042)+~P7(x2041)+~E(a3,x2042)+P18(f4(x2041,x2042))
% 0.47/0.59 [205]~P6(x2051)+~P6(x2052)+E(a3,x2051)+E(f6(f5(x2051,x2052)),f6(x2051))
% 0.47/0.59 [230]~P6(x2301)+~P6(x2302)+E(a3,x2301)+E(f56(f5(x2301,x2302)),f5(f56(x2301),x2302))
% 0.47/0.59 [237]~P6(x2371)+~P6(x2372)+~P11(x2372,x2371)+E(f5(x2371,f43(x2372,x2371)),x2372)
% 0.47/0.59 [238]~P6(x2382)+~P6(x2381)+~P10(x2381,x2382)+E(f5(f42(x2381,x2382),x2382),x2381)
% 0.47/0.59 [267]~P6(x2672)+~P6(x2671)+~P9(x2671,x2672)+E(f5(f5(f41(x2671,x2672),x2672),f40(x2672,x2671)),x2671)
% 0.47/0.59 [266]~P6(x2661)+~P7(x2662)+~P15(x2661,x2662)+E(f5(f39(x2661,x2662),f4(x2662,f38(x2662,x2661))),x2661)
% 0.47/0.59 [256]~P6(x2563)+~P6(x2562)+~P7(x2561)+E(f5(f4(x2561,x2562),x2563),f4(x2561,f5(x2562,x2563)))
% 0.47/0.59 [257]~P6(x2571)+~P6(x2572)+~P6(x2573)+E(f5(f5(x2571,x2572),x2573),f5(x2571,f5(x2572,x2573)))
% 0.47/0.59 [218]P16(x2181,x2182)+~P7(x2182)+~P7(x2181)+~P13(x2181,x2182)+E(x2181,x2182)
% 0.47/0.59 [223]~P6(x2232)+~P6(x2231)+~P9(x2232,x2231)+~P9(x2231,x2232)+E(x2231,x2232)
% 0.47/0.59 [224]~P6(x2242)+~P6(x2241)+~P10(x2242,x2241)+~P10(x2241,x2242)+E(x2241,x2242)
% 0.47/0.59 [225]~P6(x2252)+~P6(x2251)+~P11(x2252,x2251)+~P11(x2251,x2252)+E(x2251,x2252)
% 0.47/0.59 [226]~P7(x2262)+~P7(x2261)+~P12(x2262,x2261)+~P12(x2261,x2262)+E(x2261,x2262)
% 0.47/0.59 [227]~P7(x2272)+~P7(x2271)+~P13(x2272,x2271)+~P13(x2271,x2272)+E(x2271,x2272)
% 0.47/0.59 [177]~P6(x1772)+~P6(x1771)+~E(a3,x1772)+~E(a3,x1771)+E(f5(x1771,x1772),a3)
% 0.47/0.59 [233]P4(x2331)+~P6(x2331)+~P7(x2332)+E(a3,x2331)+~P4(f4(x2332,x2331))
% 0.47/0.59 [234]P18(x2341)+~P6(x2341)+~P7(x2342)+E(a3,x2341)+~P18(f4(x2342,x2341))
% 0.47/0.59 [247]~P6(x2471)+~P7(x2472)+E(a3,x2471)+P13(x2472,f6(x2471))+~P18(f4(x2472,x2471))
% 0.47/0.59 [248]~P6(x2481)+~P7(x2482)+E(a3,x2481)+P16(x2482,f6(x2481))+~P4(f4(x2482,x2481))
% 0.47/0.59 [221]~P6(x2211)+~P6(x2212)+~P6(x2213)+P10(x2211,x2212)+~E(f5(x2213,x2212),x2211)
% 0.47/0.59 [222]~P6(x2221)+~P6(x2223)+~P6(x2222)+P11(x2221,x2222)+~E(f5(x2222,x2223),x2221)
% 0.47/0.59 [229]~E(x2293,x2291)+~P6(x2292)+~P7(x2291)+~P7(x2293)+P15(f4(x2291,x2292),x2293)
% 0.47/0.59 [231]~P6(x2312)+~P6(x2311)+~P6(x2313)+E(x2311,x2312)+~E(f5(x2313,x2311),f5(x2313,x2312))
% 0.47/0.59 [232]~P6(x2322)+~P6(x2323)+~P6(x2321)+E(x2321,x2322)+~E(f5(x2321,x2323),f5(x2322,x2323))
% 0.47/0.59 [249]~P6(x2491)+~P6(x2493)+~P6(x2492)+~P10(x2492,x2493)+P10(f5(x2491,x2492),x2493)
% 0.47/0.59 [250]~P6(x2502)+~P6(x2503)+~P6(x2501)+~P11(x2501,x2503)+P11(f5(x2501,x2502),x2503)
% 0.47/0.59 [251]~P6(x2512)+~P7(x2511)+~P7(x2513)+~P15(x2512,x2513)+P15(f4(x2511,x2512),x2513)
% 0.47/0.59 [252]~P6(x2521)+~P6(x2522)+~P7(x2523)+~P15(x2522,x2523)+P15(f5(x2521,x2522),x2523)
% 0.47/0.59 [253]~P6(x2532)+~P6(x2531)+~P7(x2533)+~P15(x2531,x2533)+P15(f5(x2531,x2532),x2533)
% 0.47/0.59 [269]~P6(x2693)+~P6(x2691)+~P7(x2692)+~P15(x2693,x2692)+~E(f5(f5(x2691,f4(x2692,a3)),x2693),a1)
% 0.47/0.59 [270]~P6(x2703)+~P6(x2701)+~P7(x2702)+~P15(x2701,x2702)+~E(f5(f5(x2701,f4(x2702,a3)),x2703),a1)
% 0.47/0.59 [254]~P4(x2541)+~P6(x2541)+~P7(x2542)+~P16(x2542,f6(x2541))+E(a3,x2541)+P4(f4(x2542,x2541))
% 0.47/0.59 [255]~P18(x2551)+~P6(x2551)+~P7(x2552)+~P13(x2552,f6(x2551))+E(a3,x2551)+P18(f4(x2552,x2551))
% 0.47/0.59 [239]~P7(x2392)+~P7(x2391)+~P12(x2393,x2392)+~P12(x2391,x2393)+P12(x2391,x2392)+~P7(x2393)
% 0.47/0.59 [240]~P6(x2402)+~P6(x2401)+~P9(x2403,x2402)+~P9(x2401,x2403)+P9(x2401,x2402)+~P6(x2403)
% 0.47/0.60 [241]~P6(x2412)+~P6(x2411)+~P10(x2413,x2412)+~P10(x2411,x2413)+P10(x2411,x2412)+~P6(x2413)
% 0.47/0.60 [242]~P6(x2422)+~P6(x2421)+~P11(x2423,x2422)+~P11(x2421,x2423)+P11(x2421,x2422)+~P6(x2423)
% 0.47/0.60 [243]~P7(x2432)+~P7(x2431)+~P13(x2433,x2432)+~P13(x2431,x2433)+P13(x2431,x2432)+~P7(x2433)
% 0.47/0.60 [244]~P7(x2442)+~P7(x2441)+~P13(x2441,x2443)+~P16(x2443,x2442)+P16(x2441,x2442)+~P7(x2443)
% 0.47/0.60 [245]~P7(x2452)+~P7(x2451)+~P16(x2453,x2452)+~P16(x2451,x2453)+P16(x2451,x2452)+~P7(x2453)
% 0.47/0.60 [246]~P7(x2462)+~P7(x2461)+~P14(x2463,x2462)+~P14(x2461,x2463)+P14(x2461,x2462)+~P7(x2463)
% 0.47/0.60 [258]~P6(x2583)+~P7(x2582)+~P7(x2581)+E(x2581,x2582)+P15(x2583,x2582)+~P15(f4(x2581,x2583),x2582)
% 0.47/0.60 [261]~P6(x2611)+~P6(x2613)+~P7(x2612)+P15(x2611,x2612)+P15(x2613,x2612)+~P15(f5(x2613,x2611),x2612)
% 0.47/0.60 [235]~P6(x2352)+~P6(x2351)+~P7(x2354)+~P7(x2353)+E(x2351,x2352)+~E(f4(x2353,x2351),f4(x2354,x2352))
% 0.47/0.60 [236]~P6(x2364)+~P6(x2363)+~P7(x2362)+~P7(x2361)+E(x2361,x2362)+~E(f4(x2361,x2363),f4(x2362,x2364))
% 0.47/0.60 [263]~P7(x2632)+~P7(x2631)+E(x2631,x2632)+~P6(x2633)+~P6(x2634)+~P11(f4(x2631,x2634),f4(x2632,x2633))
% 0.47/0.60 [265]~P6(x2652)+~P6(x2651)+P11(x2651,x2652)+~P7(x2653)+~P7(x2654)+~P11(f4(x2654,x2651),f4(x2653,x2652))
% 0.47/0.60 [259]~P6(x2591)+~P6(x2594)+~P6(x2593)+~P7(x2592)+P15(x2591,x2592)+~E(f5(x2593,f4(x2592,x2594)),x2591)
% 0.47/0.60 [260]~P6(x2601)+~P6(x2604)+~P6(x2602)+~P6(x2603)+P9(x2601,x2602)+~E(f5(f5(x2603,x2602),x2604),x2601)
% 0.47/0.60 [264]~P6(x2641)+~P6(x2643)+~P6(x2644)+~P6(x2642)+~P9(x2642,x2644)+P9(f5(f5(x2641,x2642),x2643),x2644)
% 0.47/0.60 [202]~P6(x2022)+~P6(x2021)+E(x2021,x2022)+E(a3,x2022)+E(a3,x2021)+~E(f56(x2021),f56(x2022))+~E(f6(x2021),f6(x2022))
% 0.47/0.60 [262]~E(x2621,x2623)+~P6(x2624)+~P6(x2622)+~P7(x2623)+~P7(x2621)+~P11(x2622,x2624)+P11(f4(x2621,x2622),f4(x2623,x2624))
% 0.47/0.60 [278]~P2(x2785)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P6(x2781)+~P7(x2782)+~E(f5(f5(x2781,f4(x2782,x2783)),f4(x2782,x2784)),x2785)
% 0.47/0.60 [271]~P1(x2715)+~P6(x2715)+~P6(x2714)+~P6(x2713)+~P7(x2712)+~P7(x2711)+E(x2711,x2712)+~E(f5(x2713,f4(x2711,f4(x2712,x2714))),x2715)
% 0.47/0.60 [279]~P18(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2792)+~P7(x2791)+P13(x2791,x2792)+~E(f5(f5(x2793,f4(x2791,x2794)),f4(x2792,x2795)),x2796)
% 0.47/0.60 [280]~P4(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2802)+~P7(x2801)+P16(x2801,x2802)+~E(f5(f5(x2803,f4(x2801,x2804)),f4(x2802,x2805)),x2806)
% 0.47/0.60 [281]P13(x2812,x2811)+~P19(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2811)+~P7(x2812)+P13(x2811,x2812)+~E(f5(f5(x2813,f4(x2812,x2814)),f4(x2811,x2815)),x2816)
% 0.47/0.60 [282]P16(x2822,x2821)+~P5(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2821)+~P7(x2822)+P16(x2821,x2822)+~E(f5(f5(x2823,f4(x2822,x2824)),f4(x2821,x2825)),x2826)
% 0.47/0.60 [283]~P3(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2833)+~P6(x2831)+~P7(x2834)+~P7(x2832)+~P13(x2834,x2832)+~P13(x2832,x2834)+~E(f5(f5(x2831,f4(x2832,x2833)),f4(x2834,x2835)),x2836)
% 0.47/0.60 %EqnAxiom
% 0.47/0.60 [1]E(x11,x11)
% 0.47/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.47/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.47/0.60 [4]~E(x41,x42)+E(f14(x41),f14(x42))
% 0.47/0.60 [5]~E(x51,x52)+E(f15(x51),f15(x52))
% 0.47/0.60 [6]~E(x61,x62)+E(f16(x61),f16(x62))
% 0.47/0.60 [7]~E(x71,x72)+E(f17(x71),f17(x72))
% 0.47/0.60 [8]~E(x81,x82)+E(f18(x81),f18(x82))
% 0.47/0.60 [9]~E(x91,x92)+E(f19(x91),f19(x92))
% 0.47/0.60 [10]~E(x101,x102)+E(f20(x101),f20(x102))
% 0.47/0.60 [11]~E(x111,x112)+E(f21(x111),f21(x112))
% 0.47/0.60 [12]~E(x121,x122)+E(f22(x121),f22(x122))
% 0.47/0.60 [13]~E(x131,x132)+E(f23(x131),f23(x132))
% 0.47/0.60 [14]~E(x141,x142)+E(f24(x141),f24(x142))
% 0.47/0.60 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 0.47/0.60 [16]~E(x161,x162)+E(f26(x161),f26(x162))
% 0.47/0.60 [17]~E(x171,x172)+E(f27(x171),f27(x172))
% 0.47/0.60 [18]~E(x181,x182)+E(f28(x181),f28(x182))
% 0.47/0.60 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 0.47/0.60 [20]~E(x201,x202)+E(f30(x201),f30(x202))
% 0.47/0.60 [21]~E(x211,x212)+E(f31(x211),f31(x212))
% 0.47/0.60 [22]~E(x221,x222)+E(f32(x221),f32(x222))
% 0.47/0.60 [23]~E(x231,x232)+E(f33(x231),f33(x232))
% 0.47/0.60 [24]~E(x241,x242)+E(f34(x241),f34(x242))
% 0.47/0.60 [25]~E(x251,x252)+E(f55(x251),f55(x252))
% 0.47/0.60 [26]~E(x261,x262)+E(f53(x261),f53(x262))
% 0.47/0.60 [27]~E(x271,x272)+E(f54(x271),f54(x272))
% 0.47/0.60 [28]~E(x281,x282)+E(f52(x281),f52(x282))
% 0.47/0.60 [29]~E(x291,x292)+E(f50(x291),f50(x292))
% 0.47/0.60 [30]~E(x301,x302)+E(f51(x301),f51(x302))
% 0.47/0.60 [31]~E(x311,x312)+E(f48(x311),f48(x312))
% 0.47/0.60 [32]~E(x321,x322)+E(f49(x321),f49(x322))
% 0.47/0.60 [33]~E(x331,x332)+E(f46(x331),f46(x332))
% 0.47/0.60 [34]~E(x341,x342)+E(f47(x341),f47(x342))
% 0.47/0.60 [35]~E(x351,x352)+E(f44(x351),f44(x352))
% 0.47/0.60 [36]~E(x361,x362)+E(f45(x361),f45(x362))
% 0.47/0.60 [37]~E(x371,x372)+E(f35(x371),f35(x372))
% 0.47/0.60 [38]~E(x381,x382)+E(f36(x381),f36(x382))
% 0.47/0.60 [39]~E(x391,x392)+E(f37(x391),f37(x392))
% 0.47/0.60 [40]~E(x401,x402)+E(f40(x401,x403),f40(x402,x403))
% 0.47/0.60 [41]~E(x411,x412)+E(f40(x413,x411),f40(x413,x412))
% 0.47/0.60 [42]~E(x421,x422)+E(f41(x421,x423),f41(x422,x423))
% 0.47/0.60 [43]~E(x431,x432)+E(f41(x433,x431),f41(x433,x432))
% 0.47/0.60 [44]~E(x441,x442)+E(f42(x441,x443),f42(x442,x443))
% 0.47/0.60 [45]~E(x451,x452)+E(f42(x453,x451),f42(x453,x452))
% 0.47/0.60 [46]~E(x461,x462)+E(f43(x461,x463),f43(x462,x463))
% 0.47/0.60 [47]~E(x471,x472)+E(f43(x473,x471),f43(x473,x472))
% 0.47/0.60 [48]~E(x481,x482)+E(f38(x481,x483),f38(x482,x483))
% 0.47/0.60 [49]~E(x491,x492)+E(f38(x493,x491),f38(x493,x492))
% 0.47/0.60 [50]~E(x501,x502)+E(f39(x501,x503),f39(x502,x503))
% 0.47/0.60 [51]~E(x511,x512)+E(f39(x513,x511),f39(x513,x512))
% 0.47/0.60 [52]~E(x521,x522)+E(f4(x521,x523),f4(x522,x523))
% 0.47/0.60 [53]~E(x531,x532)+E(f4(x533,x531),f4(x533,x532))
% 0.47/0.60 [54]~E(x541,x542)+E(f5(x541,x543),f5(x542,x543))
% 0.47/0.60 [55]~E(x551,x552)+E(f5(x553,x551),f5(x553,x552))
% 0.47/0.60 [56]~E(x561,x562)+E(f6(x561),f6(x562))
% 0.47/0.60 [57]~E(x571,x572)+E(f56(x571),f56(x572))
% 0.47/0.60 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.47/0.60 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.47/0.60 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.47/0.60 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.47/0.60 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.47/0.60 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.47/0.60 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.47/0.60 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.47/0.60 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.47/0.60 [67]P13(x672,x673)+~E(x671,x672)+~P13(x671,x673)
% 0.47/0.60 [68]P13(x683,x682)+~E(x681,x682)+~P13(x683,x681)
% 0.47/0.60 [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 0.47/0.60 [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 0.47/0.60 [71]P16(x712,x713)+~E(x711,x712)+~P16(x711,x713)
% 0.47/0.60 [72]P16(x723,x722)+~E(x721,x722)+~P16(x723,x721)
% 0.47/0.60 [73]P15(x732,x733)+~E(x731,x732)+~P15(x731,x733)
% 0.47/0.60 [74]P15(x743,x742)+~E(x741,x742)+~P15(x743,x741)
% 0.47/0.60 [75]P11(x752,x753)+~E(x751,x752)+~P11(x751,x753)
% 0.47/0.60 [76]P11(x763,x762)+~E(x761,x762)+~P11(x763,x761)
% 0.47/0.60 [77]P17(x772,x773)+~E(x771,x772)+~P17(x771,x773)
% 0.47/0.60 [78]P17(x783,x782)+~E(x781,x782)+~P17(x783,x781)
% 0.47/0.60 [79]P12(x792,x793)+~E(x791,x792)+~P12(x791,x793)
% 0.47/0.60 [80]P12(x803,x802)+~E(x801,x802)+~P12(x803,x801)
% 0.47/0.60 [81]~P8(x811)+P8(x812)+~E(x811,x812)
% 0.47/0.60 [82]P9(x822,x823)+~E(x821,x822)+~P9(x821,x823)
% 0.47/0.60 [83]P9(x833,x832)+~E(x831,x832)+~P9(x833,x831)
% 0.47/0.60 [84]P10(x842,x843)+~E(x841,x842)+~P10(x841,x843)
% 0.47/0.60 [85]P10(x853,x852)+~E(x851,x852)+~P10(x853,x851)
% 0.47/0.60
% 0.47/0.60 %-------------------------------------------
% 0.47/0.60 cnf(288,plain,
% 0.47/0.60 (~P17(x2881,x2881)+~P6(x2881)+~P6(x2881)),
% 0.47/0.60 inference(equality_inference,[],[195])).
% 0.47/0.60 cnf(290,plain,
% 0.47/0.60 (~P17(x2901,x2901)+~P7(x2901)+~P7(x2901)),
% 0.47/0.60 inference(equality_inference,[],[197])).
% 0.47/0.60 cnf(358,plain,
% 0.47/0.60 (E(a1,f5(f5(a9,f4(a10,a3)),a11))),
% 0.47/0.60 inference(scs_inference,[],[86,147,98,96,103,174,2,288,65,290,3])).
% 0.47/0.60 cnf(377,plain,
% 0.47/0.60 ($false),
% 0.47/0.60 inference(scs_inference,[],[100,101,104,358,126,174,2,288,290,269,270,168]),
% 0.47/0.60 ['proof']).
% 0.47/0.60 % SZS output end Proof
% 0.47/0.60 % Total time :0.120000s
%------------------------------------------------------------------------------