TSTP Solution File: SWC146+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWC146+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 : Thu Aug 31 20:17:21 EDT 2023
% Result : Theorem 0.25s 0.73s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.17 % Problem : SWC146+1 : TPTP v8.1.2. Released v2.4.0.
% 0.17/0.18 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.18/0.39 % Computer : n008.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Mon Aug 28 16:23:02 EDT 2023
% 0.18/0.39 % CPUTime :
% 0.25/0.64 start to proof:theBenchmark
% 0.25/0.73 %-------------------------------------------
% 0.25/0.73 % File :CSE---1.6
% 0.25/0.73 % Problem :theBenchmark
% 0.25/0.73 % Transform :cnf
% 0.25/0.73 % Format :tptp:raw
% 0.25/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.25/0.73
% 0.25/0.73 % Result :Theorem 0.010000s
% 0.25/0.73 % Output :CNFRefutation 0.010000s
% 0.25/0.73 %-------------------------------------------
% 0.25/0.73 %--------------------------------------------------------------------------
% 0.25/0.73 % File : SWC146+1 : TPTP v8.1.2. Released v2.4.0.
% 0.25/0.73 % Domain : Software Creation
% 0.25/0.73 % Problem : cond_pr_works_on_pairs_x_id_segment
% 0.25/0.73 % Version : [Wei00] axioms.
% 0.25/0.73 % English : Find components in a software library that match a given target
% 0.25/0.73 % specification given in first-order logic. The components are
% 0.25/0.73 % specified in first-order logic as well. The problem represents
% 0.25/0.73 % a test of one library module specification against a target
% 0.25/0.73 % specification.
% 0.25/0.73
% 0.25/0.73 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.25/0.73 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.25/0.73 % Source : [Wei00]
% 0.25/0.73 % Names : cond_pr_works_on_pairs_x_id_segment [Wei00]
% 0.25/0.73
% 0.25/0.73 % Status : Theorem
% 0.25/0.73 % Rating : 0.06 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.12 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.00 v2.4.0
% 0.25/0.73 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.25/0.73 % Number of atoms : 403 ( 73 equ)
% 0.25/0.73 % Maximal formula atoms : 10 ( 4 avg)
% 0.25/0.73 % Number of connectives : 334 ( 27 ~; 12 |; 38 &)
% 0.25/0.73 % ( 26 <=>; 231 =>; 0 <=; 0 <~>)
% 0.25/0.73 % Maximal formula depth : 17 ( 7 avg)
% 0.25/0.73 % Maximal term depth : 4 ( 1 avg)
% 0.25/0.73 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.25/0.73 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.25/0.73 % Number of variables : 207 ( 194 !; 13 ?)
% 0.25/0.73 % SPC : FOF_THM_RFO_SEQ
% 0.25/0.73
% 0.25/0.73 % Comments :
% 0.25/0.73 %--------------------------------------------------------------------------
% 0.25/0.73 %----Include list specification axioms
% 0.25/0.73 include('Axioms/SWC001+0.ax').
% 0.25/0.73 %--------------------------------------------------------------------------
% 0.25/0.73 fof(co1,conjecture,
% 0.25/0.73 ! [U] :
% 0.25/0.73 ( ssList(U)
% 0.25/0.73 => ! [V] :
% 0.25/0.73 ( ssList(V)
% 0.25/0.73 => ! [W] :
% 0.25/0.73 ( ssList(W)
% 0.25/0.73 => ! [X] :
% 0.25/0.73 ( ssList(X)
% 0.25/0.73 => ( V != X
% 0.25/0.73 | U != W
% 0.25/0.73 | ~ neq(V,nil)
% 0.25/0.73 | neq(X,nil)
% 0.25/0.73 | singletonP(V) ) ) ) ) ) ).
% 0.25/0.73
% 0.25/0.73 %--------------------------------------------------------------------------
% 0.25/0.73 %-------------------------------------------
% 0.25/0.73 % Proof found
% 0.25/0.73 % SZS status Theorem for theBenchmark
% 0.25/0.73 % SZS output start Proof
% 0.25/0.74 %ClaNum:285(EqnAxiom:88)
% 0.25/0.74 %VarNum:1008(SingletonVarNum:327)
% 0.25/0.74 %MaxLitNum:10
% 0.25/0.74 %MaxfuncDepth:4
% 0.25/0.74 %SharedTerms:28
% 0.25/0.74 %goalClause: 89 90 94 95 96 97 105 108 109
% 0.25/0.74 %singleGoalClaCount:9
% 0.25/0.74 [89]E(a1,a2)
% 0.25/0.74 [90]E(a46,a48)
% 0.25/0.74 [91]P1(a3)
% 0.25/0.74 [92]P1(a16)
% 0.25/0.74 [93]P15(a49)
% 0.25/0.74 [94]P15(a2)
% 0.25/0.74 [95]P15(a46)
% 0.25/0.74 [96]P15(a1)
% 0.25/0.74 [97]P15(a48)
% 0.25/0.74 [98]P2(a49)
% 0.25/0.74 [99]P16(a49)
% 0.25/0.74 [100]P17(a49)
% 0.25/0.74 [101]P19(a49)
% 0.25/0.74 [102]P18(a49)
% 0.25/0.74 [103]P3(a49)
% 0.25/0.74 [104]P4(a49)
% 0.25/0.74 [105]P5(a46,a49)
% 0.25/0.74 [106]~E(a16,a3)
% 0.25/0.74 [107]~P12(a49)
% 0.25/0.74 [108]~P12(a46)
% 0.25/0.74 [109]~P5(a48,a49)
% 0.25/0.74 [118]~P15(x1181)+P6(x1181,a49)
% 0.25/0.74 [119]~P15(x1191)+P13(x1191,a49)
% 0.25/0.74 [120]~P15(x1201)+P14(x1201,a49)
% 0.25/0.74 [124]~P15(x1241)+P6(x1241,x1241)
% 0.25/0.74 [125]~P15(x1251)+P13(x1251,x1251)
% 0.25/0.74 [126]~P15(x1261)+P14(x1261,x1261)
% 0.25/0.74 [127]~P1(x1271)+P7(x1271,x1271)
% 0.25/0.74 [128]~P1(x1281)+P8(x1281,x1281)
% 0.25/0.74 [168]~P1(x1681)+~P10(a49,x1681)
% 0.25/0.74 [172]~P11(x1721,x1721)+~P1(x1721)
% 0.25/0.74 [122]~P15(x1221)+E(f4(x1221,a49),x1221)
% 0.25/0.74 [123]~P15(x1231)+E(f4(a49,x1231),x1231)
% 0.25/0.74 [177]~P1(x1771)+P2(f6(x1771,a49))
% 0.25/0.74 [178]~P1(x1781)+P16(f6(x1781,a49))
% 0.25/0.74 [179]~P1(x1791)+P17(f6(x1791,a49))
% 0.25/0.74 [180]~P1(x1801)+P19(f6(x1801,a49))
% 0.25/0.74 [181]~P1(x1811)+P18(f6(x1811,a49))
% 0.25/0.74 [182]~P1(x1821)+P3(f6(x1821,a49))
% 0.25/0.74 [183]~P1(x1831)+P4(f6(x1831,a49))
% 0.25/0.74 [163]~P15(x1631)+~E(a49,x1631)+P6(a49,x1631)
% 0.25/0.74 [164]~P15(x1641)+~E(a49,x1641)+P13(a49,x1641)
% 0.25/0.74 [165]~P15(x1651)+~E(a49,x1651)+P14(a49,x1651)
% 0.25/0.74 [169]~P15(x1691)+~P6(a49,x1691)+E(a49,x1691)
% 0.25/0.74 [170]~P15(x1701)+~P13(a49,x1701)+E(a49,x1701)
% 0.25/0.74 [171]~P15(x1711)+~P14(a49,x1711)+E(a49,x1711)
% 0.25/0.74 [110]~P15(x1101)+E(f50(x1101),f27(x1101))+E(a49,x1101)
% 0.25/0.74 [111]~P15(x1111)+E(f56(x1111),f45(x1111))+E(a49,x1111)
% 0.25/0.74 [112]~P15(x1121)+E(a49,x1121)+P1(f50(x1121))
% 0.25/0.74 [113]~P15(x1131)+E(a49,x1131)+P1(f28(x1131))
% 0.25/0.74 [114]~P15(x1141)+E(a49,x1141)+P1(f27(x1141))
% 0.25/0.74 [115]~P15(x1151)+E(a49,x1151)+P15(f56(x1151))
% 0.25/0.74 [116]~P15(x1161)+E(a49,x1161)+P15(f29(x1161))
% 0.25/0.74 [117]~P15(x1171)+E(a49,x1171)+P15(f45(x1171))
% 0.25/0.74 [121]P3(x1211)+~P15(x1211)+E(f30(x1211),f36(x1211))
% 0.25/0.74 [129]~P15(x1291)+P2(x1291)+P1(f5(x1291))
% 0.25/0.74 [130]~P15(x1301)+P2(x1301)+P1(f7(x1301))
% 0.25/0.74 [131]~P15(x1311)+P2(x1311)+P15(f8(x1311))
% 0.25/0.74 [132]~P15(x1321)+P2(x1321)+P15(f9(x1321))
% 0.25/0.74 [133]~P15(x1331)+P2(x1331)+P15(f10(x1331))
% 0.25/0.74 [134]~P15(x1341)+P16(x1341)+P1(f11(x1341))
% 0.25/0.74 [135]~P15(x1351)+P16(x1351)+P1(f12(x1351))
% 0.25/0.74 [136]~P15(x1361)+P16(x1361)+P15(f13(x1361))
% 0.25/0.74 [137]~P15(x1371)+P16(x1371)+P15(f14(x1371))
% 0.25/0.74 [138]~P15(x1381)+P16(x1381)+P15(f15(x1381))
% 0.25/0.74 [139]~P15(x1391)+P17(x1391)+P1(f17(x1391))
% 0.25/0.74 [140]~P15(x1401)+P17(x1401)+P1(f18(x1401))
% 0.25/0.74 [141]~P15(x1411)+P17(x1411)+P15(f19(x1411))
% 0.25/0.74 [142]~P15(x1421)+P17(x1421)+P15(f20(x1421))
% 0.25/0.74 [143]~P15(x1431)+P17(x1431)+P15(f21(x1431))
% 0.25/0.74 [144]~P15(x1441)+P19(x1441)+P1(f22(x1441))
% 0.25/0.74 [145]~P15(x1451)+P19(x1451)+P1(f23(x1451))
% 0.25/0.74 [146]~P15(x1461)+P19(x1461)+P15(f24(x1461))
% 0.25/0.74 [147]~P15(x1471)+P19(x1471)+P15(f25(x1471))
% 0.25/0.74 [148]~P15(x1481)+P19(x1481)+P15(f26(x1481))
% 0.25/0.74 [149]~P15(x1491)+P18(x1491)+P1(f31(x1491))
% 0.25/0.74 [150]~P15(x1501)+P18(x1501)+P1(f32(x1501))
% 0.25/0.74 [151]~P15(x1511)+P18(x1511)+P15(f33(x1511))
% 0.25/0.74 [152]~P15(x1521)+P18(x1521)+P15(f34(x1521))
% 0.25/0.74 [153]~P15(x1531)+P18(x1531)+P15(f35(x1531))
% 0.25/0.74 [154]~P15(x1541)+P3(x1541)+P1(f30(x1541))
% 0.25/0.74 [155]~P15(x1551)+P3(x1551)+P1(f36(x1551))
% 0.25/0.74 [156]~P15(x1561)+P3(x1561)+P15(f37(x1561))
% 0.25/0.74 [157]~P15(x1571)+P3(x1571)+P15(f38(x1571))
% 0.25/0.74 [158]~P15(x1581)+P3(x1581)+P15(f39(x1581))
% 0.25/0.74 [159]~P15(x1591)+P4(x1591)+P1(f40(x1591))
% 0.25/0.74 [160]~P15(x1601)+P4(x1601)+P1(f42(x1601))
% 0.25/0.74 [161]~P15(x1611)+P4(x1611)+P15(f43(x1611))
% 0.25/0.74 [162]~P15(x1621)+P4(x1621)+P15(f44(x1621))
% 0.25/0.74 [166]~P15(x1661)+P4(x1661)+~E(f42(x1661),f40(x1661))
% 0.25/0.74 [167]~P15(x1671)+~P12(x1671)+P1(f51(x1671))
% 0.25/0.74 [188]~P15(x1881)+P2(x1881)+P7(f5(x1881),f7(x1881))
% 0.25/0.74 [189]~P15(x1891)+P2(x1891)+P7(f7(x1891),f5(x1891))
% 0.25/0.74 [209]~P15(x2091)+P16(x2091)+~P7(f11(x2091),f12(x2091))
% 0.25/0.74 [210]~P15(x2101)+P16(x2101)+~P7(f12(x2101),f11(x2101))
% 0.25/0.74 [211]~P15(x2111)+P17(x2111)+~P11(f17(x2111),f18(x2111))
% 0.25/0.74 [212]~P15(x2121)+P17(x2121)+~P11(f18(x2121),f17(x2121))
% 0.25/0.74 [213]~P15(x2131)+P19(x2131)+~P7(f22(x2131),f23(x2131))
% 0.25/0.74 [214]~P15(x2141)+P18(x2141)+~P11(f31(x2141),f32(x2141))
% 0.25/0.74 [176]~P15(x1761)+~P12(x1761)+E(f6(f51(x1761),a49),x1761)
% 0.25/0.74 [184]~P15(x1841)+E(a49,x1841)+E(f6(f50(x1841),f56(x1841)),x1841)
% 0.25/0.74 [185]~P15(x1851)+E(a49,x1851)+E(f6(f28(x1851),f29(x1851)),x1851)
% 0.25/0.74 [274]P2(x2741)+~P15(x2741)+E(f4(f4(f8(x2741),f6(f5(x2741),f9(x2741))),f6(f7(x2741),f10(x2741))),x2741)
% 0.25/0.74 [275]P16(x2751)+~P15(x2751)+E(f4(f4(f13(x2751),f6(f11(x2751),f14(x2751))),f6(f12(x2751),f15(x2751))),x2751)
% 0.25/0.74 [276]P17(x2761)+~P15(x2761)+E(f4(f4(f19(x2761),f6(f17(x2761),f20(x2761))),f6(f18(x2761),f21(x2761))),x2761)
% 0.25/0.74 [277]P19(x2771)+~P15(x2771)+E(f4(f4(f24(x2771),f6(f22(x2771),f25(x2771))),f6(f23(x2771),f26(x2771))),x2771)
% 0.25/0.74 [278]P18(x2781)+~P15(x2781)+E(f4(f4(f33(x2781),f6(f31(x2781),f34(x2781))),f6(f32(x2781),f35(x2781))),x2781)
% 0.25/0.74 [279]P3(x2791)+~P15(x2791)+E(f4(f4(f37(x2791),f6(f30(x2791),f38(x2791))),f6(f36(x2791),f39(x2791))),x2791)
% 0.25/0.74 [272]P4(x2721)+~P15(x2721)+E(f4(f43(x2721),f6(f40(x2721),f6(f42(x2721),f44(x2721)))),x2721)
% 0.25/0.74 [186]~P1(x1861)+~P15(x1862)+~E(f6(x1861,x1862),a49)
% 0.25/0.74 [187]~P1(x1871)+~P15(x1872)+~E(f6(x1871,x1872),x1872)
% 0.25/0.74 [196]~P1(x1961)+~P15(x1962)+P15(f6(x1961,x1962))
% 0.25/0.74 [197]~P15(x1972)+~P15(x1971)+P15(f4(x1971,x1972))
% 0.25/0.74 [198]~P1(x1981)+~P15(x1982)+E(f50(f6(x1981,x1982)),x1981)
% 0.25/0.74 [199]~P1(x1991)+~P15(x1992)+E(f56(f6(x1991,x1992)),x1992)
% 0.25/0.74 [226]~P1(x2261)+~P15(x2262)+E(f4(f6(x2261,a49),x2262),f6(x2261,x2262))
% 0.25/0.74 [173]P5(x1731,x1732)+~P1(x1732)+~P1(x1731)+E(x1731,x1732)
% 0.25/0.74 [174]P5(x1741,x1742)+~P15(x1742)+~P15(x1741)+E(x1741,x1742)
% 0.25/0.74 [193]~P1(x1932)+~P1(x1931)+~P5(x1931,x1932)+~E(x1931,x1932)
% 0.25/0.74 [194]~P1(x1942)+~P1(x1941)+~P11(x1941,x1942)+~E(x1941,x1942)
% 0.25/0.74 [195]~P15(x1952)+~P15(x1951)+~P5(x1951,x1952)+~E(x1951,x1952)
% 0.25/0.74 [204]~P1(x2041)+~P1(x2042)+~P8(x2042,x2041)+P7(x2041,x2042)
% 0.25/0.74 [205]~P1(x2052)+~P1(x2051)+~P11(x2051,x2052)+P7(x2051,x2052)
% 0.25/0.74 [206]~P1(x2061)+~P1(x2062)+~P9(x2062,x2061)+P11(x2061,x2062)
% 0.25/0.74 [207]~P1(x2071)+~P1(x2072)+~P7(x2072,x2071)+P8(x2071,x2072)
% 0.25/0.74 [208]~P1(x2081)+~P1(x2082)+~P11(x2082,x2081)+P9(x2081,x2082)
% 0.25/0.74 [217]~P11(x2171,x2172)+~P11(x2172,x2171)+~P1(x2171)+~P1(x2172)
% 0.25/0.74 [218]~P9(x2181,x2182)+~P9(x2182,x2181)+~P1(x2181)+~P1(x2182)
% 0.25/0.74 [190]~P15(x1902)+~P15(x1901)+E(a49,x1901)+~E(f4(x1902,x1901),a49)
% 0.25/0.74 [191]~P15(x1912)+~P15(x1911)+E(a49,x1911)+~E(f4(x1911,x1912),a49)
% 0.25/0.74 [192]~P1(x1922)+~P15(x1921)+P12(x1921)+~E(f6(x1922,a49),x1921)
% 0.25/0.74 [201]~P1(x2011)+~P15(x2012)+~E(a49,x2012)+P19(f6(x2011,x2012))
% 0.25/0.74 [202]~P1(x2021)+~P15(x2022)+~E(a49,x2022)+P18(f6(x2021,x2022))
% 0.25/0.74 [229]~P1(x2292)+~P15(x2291)+~P10(x2291,x2292)+P15(f41(x2291,x2292))
% 0.25/0.74 [230]~P1(x2302)+~P15(x2301)+~P10(x2301,x2302)+P15(f47(x2301,x2302))
% 0.25/0.74 [231]~P15(x2312)+~P15(x2311)+~P6(x2311,x2312)+P15(f52(x2311,x2312))
% 0.25/0.74 [232]~P15(x2322)+~P15(x2321)+~P13(x2321,x2322)+P15(f53(x2321,x2322))
% 0.25/0.74 [233]~P15(x2332)+~P15(x2331)+~P14(x2331,x2332)+P15(f54(x2331,x2332))
% 0.25/0.74 [234]~P15(x2342)+~P15(x2341)+~P14(x2341,x2342)+P15(f55(x2341,x2342))
% 0.25/0.74 [203]~P15(x2032)+~P15(x2031)+E(a49,x2031)+E(f50(f4(x2031,x2032)),f50(x2031))
% 0.25/0.74 [228]~P15(x2282)+~P15(x2281)+E(a49,x2281)+E(f56(f4(x2281,x2282)),f4(f56(x2281),x2282))
% 0.25/0.74 [241]~P15(x2412)+~P15(x2411)+~P6(x2412,x2411)+E(f4(x2411,f52(x2412,x2411)),x2412)
% 0.25/0.74 [242]~P15(x2422)+~P15(x2421)+~P13(x2421,x2422)+E(f4(f53(x2421,x2422),x2422),x2421)
% 0.25/0.74 [271]~P15(x2712)+~P15(x2711)+~P14(x2711,x2712)+E(f4(f4(f54(x2711,x2712),x2712),f55(x2711,x2712)),x2711)
% 0.25/0.74 [270]~P1(x2702)+~P15(x2701)+~P10(x2701,x2702)+E(f4(f41(x2701,x2702),f6(x2702,f47(x2701,x2702))),x2701)
% 0.25/0.74 [260]~P1(x2601)+~P15(x2602)+~P15(x2603)+E(f6(x2601,f4(x2602,x2603)),f4(f6(x2601,x2602),x2603))
% 0.25/0.74 [261]~P15(x2613)+~P15(x2612)+~P15(x2611)+E(f4(f4(x2611,x2612),x2613),f4(x2611,f4(x2612,x2613)))
% 0.25/0.74 [216]P11(x2161,x2162)+~P1(x2162)+~P1(x2161)+~P7(x2161,x2162)+E(x2161,x2162)
% 0.25/0.74 [221]~P1(x2212)+~P1(x2211)+~P7(x2212,x2211)+~P7(x2211,x2212)+E(x2211,x2212)
% 0.25/0.74 [222]~P1(x2222)+~P1(x2221)+~P8(x2222,x2221)+~P8(x2221,x2222)+E(x2221,x2222)
% 0.25/0.74 [223]~P15(x2232)+~P15(x2231)+~P6(x2232,x2231)+~P6(x2231,x2232)+E(x2231,x2232)
% 0.25/0.74 [224]~P15(x2242)+~P15(x2241)+~P13(x2242,x2241)+~P13(x2241,x2242)+E(x2241,x2242)
% 0.25/0.74 [225]~P15(x2252)+~P15(x2251)+~P14(x2252,x2251)+~P14(x2251,x2252)+E(x2251,x2252)
% 0.25/0.74 [175]~P15(x1751)+~P15(x1752)+~E(a49,x1751)+~E(a49,x1752)+E(f4(x1751,x1752),a49)
% 0.25/0.74 [237]P19(x2371)+~P15(x2371)+~P1(x2372)+E(a49,x2371)+~P19(f6(x2372,x2371))
% 0.25/0.74 [238]P18(x2381)+~P15(x2381)+~P1(x2382)+E(a49,x2381)+~P18(f6(x2382,x2381))
% 0.25/0.74 [251]~P1(x2512)+~P15(x2511)+E(a49,x2511)+P7(x2512,f50(x2511))+~P19(f6(x2512,x2511))
% 0.25/0.74 [252]~P1(x2522)+~P15(x2521)+E(a49,x2521)+P11(x2522,f50(x2521))+~P18(f6(x2522,x2521))
% 0.25/0.75 [219]~P15(x2191)+~P15(x2192)+~P15(x2193)+P6(x2191,x2192)+~E(f4(x2192,x2193),x2191)
% 0.25/0.75 [220]~P15(x2201)+~P15(x2202)+~P15(x2203)+P13(x2201,x2202)+~E(f4(x2203,x2202),x2201)
% 0.25/0.75 [227]~E(x2273,x2271)+~P1(x2271)+~P1(x2273)+~P15(x2272)+P10(f6(x2271,x2272),x2273)
% 0.25/0.75 [235]~P15(x2352)+~P15(x2353)+~P15(x2351)+E(x2351,x2352)+~E(f4(x2353,x2351),f4(x2353,x2352))
% 0.25/0.75 [236]~P15(x2362)+~P15(x2363)+~P15(x2361)+E(x2361,x2362)+~E(f4(x2361,x2363),f4(x2362,x2363))
% 0.25/0.75 [253]~P1(x2531)+~P1(x2533)+~P15(x2532)+~P10(x2532,x2533)+P10(f6(x2531,x2532),x2533)
% 0.25/0.75 [254]~P1(x2543)+~P15(x2541)+~P15(x2542)+~P10(x2542,x2543)+P10(f4(x2541,x2542),x2543)
% 0.25/0.75 [255]~P1(x2553)+~P15(x2552)+~P15(x2551)+~P10(x2551,x2553)+P10(f4(x2551,x2552),x2553)
% 0.25/0.75 [256]~P15(x2562)+~P15(x2563)+~P15(x2561)+~P6(x2561,x2563)+P6(f4(x2561,x2562),x2563)
% 0.25/0.75 [257]~P15(x2571)+~P15(x2573)+~P15(x2572)+~P13(x2572,x2573)+P13(f4(x2571,x2572),x2573)
% 0.25/0.75 [258]~P1(x2582)+~P15(x2581)+~P19(x2581)+~P7(x2582,f50(x2581))+E(a49,x2581)+P19(f6(x2582,x2581))
% 0.25/0.75 [259]~P1(x2592)+~P15(x2591)+~P18(x2591)+~P11(x2592,f50(x2591))+E(a49,x2591)+P18(f6(x2592,x2591))
% 0.25/0.75 [243]~P15(x2432)+~P15(x2431)+~P6(x2433,x2432)+~P6(x2431,x2433)+P6(x2431,x2432)+~P15(x2433)
% 0.25/0.75 [244]~P15(x2442)+~P15(x2441)+~P13(x2443,x2442)+~P13(x2441,x2443)+P13(x2441,x2442)+~P15(x2443)
% 0.25/0.75 [245]~P15(x2452)+~P15(x2451)+~P14(x2453,x2452)+~P14(x2451,x2453)+P14(x2451,x2452)+~P15(x2453)
% 0.25/0.75 [246]~P1(x2462)+~P1(x2461)+~P7(x2463,x2462)+~P7(x2461,x2463)+P7(x2461,x2462)+~P1(x2463)
% 0.25/0.75 [247]~P1(x2472)+~P1(x2471)+~P7(x2471,x2473)+~P11(x2473,x2472)+P11(x2471,x2472)+~P1(x2473)
% 0.25/0.75 [248]~P1(x2482)+~P1(x2481)+~P11(x2483,x2482)+~P11(x2481,x2483)+P11(x2481,x2482)+~P1(x2483)
% 0.25/0.75 [249]~P1(x2492)+~P1(x2491)+~P8(x2493,x2492)+~P8(x2491,x2493)+P8(x2491,x2492)+~P1(x2493)
% 0.25/0.75 [250]~P1(x2502)+~P1(x2501)+~P9(x2503,x2502)+~P9(x2501,x2503)+P9(x2501,x2502)+~P1(x2503)
% 0.25/0.75 [262]~P1(x2622)+~P1(x2621)+~P15(x2623)+E(x2621,x2622)+P10(x2623,x2622)+~P10(f6(x2621,x2623),x2622)
% 0.25/0.75 [265]~P1(x2652)+~P15(x2651)+~P15(x2653)+P10(x2651,x2652)+P10(x2653,x2652)+~P10(f4(x2653,x2651),x2652)
% 0.25/0.75 [239]~P1(x2394)+~P1(x2393)+~P15(x2392)+~P15(x2391)+E(x2391,x2392)+~E(f6(x2393,x2392),f6(x2394,x2391))
% 0.25/0.75 [240]~P1(x2402)+~P1(x2401)+~P15(x2404)+~P15(x2403)+E(x2401,x2402)+~E(f6(x2401,x2403),f6(x2402,x2404))
% 0.25/0.75 [267]~P1(x2672)+~P1(x2671)+E(x2671,x2672)+~P15(x2673)+~P15(x2674)+~P6(f6(x2671,x2674),f6(x2672,x2673))
% 0.25/0.75 [269]~P15(x2692)+~P15(x2691)+P6(x2691,x2692)+~P1(x2693)+~P1(x2694)+~P6(f6(x2694,x2691),f6(x2693,x2692))
% 0.25/0.75 [263]~P1(x2632)+~P15(x2631)+~P15(x2634)+~P15(x2633)+P10(x2631,x2632)+~E(f4(x2633,f6(x2632,x2634)),x2631)
% 0.25/0.75 [264]~P15(x2641)+~P15(x2642)+~P15(x2644)+~P15(x2643)+P14(x2641,x2642)+~E(f4(f4(x2643,x2642),x2644),x2641)
% 0.25/0.75 [268]~P15(x2683)+~P15(x2681)+~P15(x2684)+~P15(x2682)+~P14(x2682,x2684)+P14(f4(f4(x2681,x2682),x2683),x2684)
% 0.25/0.75 [200]~P15(x2002)+~P15(x2001)+E(x2001,x2002)+E(a49,x2002)+E(a49,x2001)+~E(f50(x2001),f50(x2002))+~E(f56(x2001),f56(x2002))
% 0.25/0.75 [266]~E(x2661,x2663)+~P1(x2663)+~P1(x2661)+~P15(x2664)+~P15(x2662)+~P6(x2662,x2664)+P6(f6(x2661,x2662),f6(x2663,x2664))
% 0.25/0.75 [273]~P1(x2732)+~P1(x2731)+~P15(x2734)+~P15(x2733)+~P15(x2735)+~P4(x2735)+E(x2731,x2732)+~E(f4(x2733,f6(x2731,f6(x2732,x2734))),x2735)
% 0.25/0.75 [280]~P1(x2802)+~P1(x2801)+~P15(x2805)+~P15(x2804)+~P15(x2803)+~P15(x2806)+~P3(x2806)+~E(x2801,x2802)+~E(f4(f4(x2803,f6(x2801,x2804)),f6(x2802,x2805)),x2806)
% 0.25/0.75 [281]~P1(x2812)+~P1(x2811)+~P15(x2815)+~P15(x2814)+~P15(x2813)+~P15(x2816)+~P19(x2816)+P7(x2811,x2812)+~E(f4(f4(x2813,f6(x2811,x2814)),f6(x2812,x2815)),x2816)
% 0.25/0.75 [282]~P1(x2822)+~P1(x2821)+~P15(x2825)+~P15(x2824)+~P15(x2823)+~P15(x2826)+~P18(x2826)+P11(x2821,x2822)+~E(f4(f4(x2823,f6(x2821,x2824)),f6(x2822,x2825)),x2826)
% 0.25/0.75 [283]P7(x2832,x2831)+~P1(x2831)+~P1(x2832)+~P15(x2835)+~P15(x2834)+~P15(x2833)+~P15(x2836)+~P16(x2836)+P7(x2831,x2832)+~E(f4(f4(x2833,f6(x2832,x2834)),f6(x2831,x2835)),x2836)
% 0.25/0.75 [284]P11(x2842,x2841)+~P1(x2841)+~P1(x2842)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P17(x2846)+P11(x2841,x2842)+~E(f4(f4(x2843,f6(x2842,x2844)),f6(x2841,x2845)),x2846)
% 0.25/0.75 [285]~P1(x2854)+~P1(x2852)+~P15(x2855)+~P15(x2853)+~P15(x2851)+~P15(x2856)+~P2(x2856)+~P7(x2854,x2852)+~P7(x2852,x2854)+~E(f4(f4(x2851,f6(x2852,x2853)),f6(x2854,x2855)),x2856)
% 0.25/0.75 %EqnAxiom
% 0.25/0.75 [1]E(x11,x11)
% 0.25/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.25/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.25/0.75 [4]~E(x41,x42)+E(f50(x41),f50(x42))
% 0.25/0.75 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.25/0.75 [6]~E(x61,x62)+E(f56(x61),f56(x62))
% 0.25/0.75 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.25/0.75 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.25/0.75 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.25/0.75 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.25/0.75 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.25/0.75 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.25/0.75 [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 0.25/0.75 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.25/0.75 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 0.25/0.75 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.25/0.75 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.25/0.75 [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 0.25/0.75 [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 0.25/0.75 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 0.25/0.75 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 0.25/0.75 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 0.25/0.75 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 0.25/0.75 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 0.25/0.75 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 0.25/0.75 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 0.25/0.75 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 0.25/0.75 [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 0.25/0.75 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 0.25/0.75 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 0.25/0.75 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 0.25/0.75 [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 0.25/0.75 [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 0.25/0.75 [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 0.25/0.75 [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 0.25/0.75 [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 0.25/0.75 [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 0.25/0.75 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 0.25/0.75 [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 0.25/0.75 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 0.25/0.75 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 0.25/0.75 [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 0.25/0.75 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 0.25/0.75 [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 0.25/0.75 [45]~E(x451,x452)+E(f53(x451,x453),f53(x452,x453))
% 0.25/0.75 [46]~E(x461,x462)+E(f53(x463,x461),f53(x463,x462))
% 0.25/0.75 [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 0.25/0.75 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 0.25/0.75 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 0.25/0.75 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 0.25/0.75 [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 0.25/0.75 [52]~E(x521,x522)+E(f54(x521,x523),f54(x522,x523))
% 0.25/0.75 [53]~E(x531,x532)+E(f54(x533,x531),f54(x533,x532))
% 0.25/0.75 [54]~E(x541,x542)+E(f47(x541,x543),f47(x542,x543))
% 0.25/0.75 [55]~E(x551,x552)+E(f47(x553,x551),f47(x553,x552))
% 0.25/0.75 [56]~E(x561,x562)+E(f55(x561,x563),f55(x562,x563))
% 0.25/0.75 [57]~E(x571,x572)+E(f55(x573,x571),f55(x573,x572))
% 0.25/0.75 [58]~E(x581,x582)+E(f52(x581,x583),f52(x582,x583))
% 0.25/0.75 [59]~E(x591,x592)+E(f52(x593,x591),f52(x593,x592))
% 0.25/0.75 [60]~E(x601,x602)+E(f51(x601),f51(x602))
% 0.25/0.75 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.25/0.75 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 0.25/0.75 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 0.25/0.75 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.25/0.75 [65]P10(x652,x653)+~E(x651,x652)+~P10(x651,x653)
% 0.25/0.75 [66]P10(x663,x662)+~E(x661,x662)+~P10(x663,x661)
% 0.25/0.75 [67]~P18(x671)+P18(x672)+~E(x671,x672)
% 0.25/0.75 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 0.25/0.75 [69]~P4(x691)+P4(x692)+~E(x691,x692)
% 0.25/0.75 [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 0.25/0.75 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 0.25/0.75 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 0.25/0.75 [73]~P19(x731)+P19(x732)+~E(x731,x732)
% 0.25/0.75 [74]P5(x742,x743)+~E(x741,x742)+~P5(x741,x743)
% 0.25/0.75 [75]P5(x753,x752)+~E(x751,x752)+~P5(x753,x751)
% 0.25/0.75 [76]P6(x762,x763)+~E(x761,x762)+~P6(x761,x763)
% 0.25/0.75 [77]P6(x773,x772)+~E(x771,x772)+~P6(x773,x771)
% 0.25/0.75 [78]P13(x782,x783)+~E(x781,x782)+~P13(x781,x783)
% 0.25/0.75 [79]P13(x793,x792)+~E(x791,x792)+~P13(x793,x791)
% 0.25/0.75 [80]P8(x802,x803)+~E(x801,x802)+~P8(x801,x803)
% 0.25/0.75 [81]P8(x813,x812)+~E(x811,x812)+~P8(x813,x811)
% 0.25/0.75 [82]~P12(x821)+P12(x822)+~E(x821,x822)
% 0.25/0.75 [83]P11(x832,x833)+~E(x831,x832)+~P11(x831,x833)
% 0.25/0.75 [84]P11(x843,x842)+~E(x841,x842)+~P11(x843,x841)
% 0.25/0.75 [85]P14(x852,x853)+~E(x851,x852)+~P14(x851,x853)
% 0.25/0.75 [86]P14(x863,x862)+~E(x861,x862)+~P14(x863,x861)
% 0.25/0.75 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.25/0.75 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.25/0.75
% 0.25/0.75 %-------------------------------------------
% 0.25/0.75 cnf(289,plain,
% 0.25/0.75 ($false),
% 0.25/0.75 inference(scs_inference,[],[89,90,105,109,91,2,172,74]),
% 0.25/0.75 ['proof']).
% 0.25/0.75 % SZS output end Proof
% 0.25/0.75 % Total time :0.010000s
%------------------------------------------------------------------------------