%------------------------------------------------------------------------------
% 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/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 16:14:24 EDT 2024
% Result : Theorem 0.65s 0.73s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC185+1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n028.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 02:10:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.65/0.72 %-------------------------------------------
% 0.65/0.72 % File :CSE---1.7
% 0.65/0.73 % Problem :theBenchmark
% 0.65/0.73 % Transform :cnf
% 0.65/0.73 % Format :tptp:raw
% 0.65/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.65/0.73
% 0.65/0.73 % Result :Theorem 0.060000s
% 0.65/0.73 % Output :CNFRefutation 0.060000s
% 0.65/0.73 %-------------------------------------------
% 0.65/0.73 %--------------------------------------------------------------------------
% 0.65/0.73 % File : SWC185+1 : TPTP v8.2.0. Released v2.4.0.
% 0.65/0.73 % Domain : Software Creation
% 0.65/0.73 % Problem : cond_pst_different3_x_pst_different3
% 0.65/0.73 % Version : [Wei00] axioms.
% 0.65/0.73 % English : Find components in a software library that match a given target
% 0.65/0.73 % specification given in first-order logic. The components are
% 0.65/0.73 % specified in first-order logic as well. The problem represents
% 0.65/0.73 % a test of one library module specification against a target
% 0.65/0.73 % specification.
% 0.65/0.73
% 0.65/0.73 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.65/0.73 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.65/0.73 % Source : [Wei00]
% 0.65/0.73 % Names : cond_pst_different3_x_pst_different3 [Wei00]
% 0.65/0.73
% 0.65/0.73 % Status : Theorem
% 0.65/0.73 % Rating : 0.31 v8.2.0, 0.28 v8.1.0, 0.31 v7.5.0, 0.34 v7.4.0, 0.20 v7.3.0, 0.34 v7.2.0, 0.31 v7.1.0, 0.35 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.43 v6.0.0, 0.30 v5.5.0, 0.37 v5.4.0, 0.39 v5.3.0, 0.48 v5.2.0, 0.40 v5.1.0, 0.38 v4.1.0, 0.35 v4.0.1, 0.39 v4.0.0, 0.38 v3.7.0, 0.35 v3.5.0, 0.37 v3.3.0, 0.21 v3.2.0, 0.18 v3.1.0, 0.22 v2.7.0, 0.33 v2.5.0, 0.17 v2.4.0
% 0.65/0.73 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.65/0.73 % Number of atoms : 412 ( 75 equ)
% 0.65/0.73 % Maximal formula atoms : 18 ( 4 avg)
% 0.65/0.73 % Number of connectives : 345 ( 29 ~; 13 |; 43 &)
% 0.65/0.73 % ( 26 <=>; 234 =>; 0 <=; 0 <~>)
% 0.65/0.73 % Maximal formula depth : 21 ( 7 avg)
% 0.65/0.73 % Maximal term depth : 4 ( 1 avg)
% 0.65/0.73 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.65/0.73 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.65/0.73 % Number of variables : 213 ( 197 !; 16 ?)
% 0.65/0.73 % SPC : FOF_THM_RFO_SEQ
% 0.65/0.73
% 0.65/0.73 % Comments :
% 0.65/0.73 %--------------------------------------------------------------------------
% 0.65/0.73 %----Include list specification axioms
% 0.65/0.73 include('Axioms/SWC001+0.ax').
% 0.65/0.73 %--------------------------------------------------------------------------
% 0.65/0.73 fof(co1,conjecture,
% 0.65/0.73 ! [U] :
% 0.65/0.73 ( ssList(U)
% 0.65/0.73 => ! [V] :
% 0.65/0.73 ( ssList(V)
% 0.65/0.73 => ! [W] :
% 0.65/0.73 ( ssList(W)
% 0.65/0.73 => ! [X] :
% 0.65/0.73 ( ssList(X)
% 0.65/0.73 => ( V != X
% 0.65/0.73 | U != W
% 0.65/0.73 | ? [Y] :
% 0.65/0.73 ( ssItem(Y)
% 0.65/0.73 & ? [Z] :
% 0.65/0.73 ( ssList(Z)
% 0.65/0.73 & ? [X1] :
% 0.65/0.73 ( ssList(X1)
% 0.65/0.73 & app(app(Z,cons(Y,nil)),X1) = W
% 0.65/0.73 & ( memberP(Z,Y)
% 0.65/0.73 | memberP(X1,Y) ) ) ) )
% 0.65/0.73 | ! [X2] :
% 0.65/0.73 ( ssItem(X2)
% 0.65/0.73 => ! [X3] :
% 0.65/0.73 ( ssList(X3)
% 0.65/0.73 => ! [X4] :
% 0.65/0.73 ( ssList(X4)
% 0.65/0.73 => ( app(app(X3,cons(X2,nil)),X4) != U
% 0.65/0.73 | ( ~ memberP(X3,X2)
% 0.65/0.73 & ~ memberP(X4,X2) ) ) ) ) ) ) ) ) ) ) ).
% 0.65/0.73
% 0.65/0.73 %--------------------------------------------------------------------------
% 0.65/0.73 %-------------------------------------------
% 0.65/0.73 % Proof found
% 0.65/0.73 % SZS status Theorem for theBenchmark
% 0.65/0.73 % SZS output start Proof
% 0.65/0.73 %ClaNum:289(EqnAxiom:88)
% 0.65/0.73 %VarNum:1024(SingletonVarNum:333)
% 0.65/0.73 %MaxLitNum:10
% 0.65/0.73 %MaxfuncDepth:4
% 0.65/0.73 %SharedTerms:37
% 0.65/0.73 %goalClause: 89 90 93 95 96 97 98 99 100 108 167 275 276
% 0.65/0.73 %singleGoalClaCount:10
% 0.65/0.73 [89]E(a1,a2)
% 0.65/0.73 [90]E(a46,a48)
% 0.65/0.73 [91]P1(a3)
% 0.65/0.73 [92]P1(a16)
% 0.65/0.73 [93]P1(a49)
% 0.65/0.73 [94]P15(a50)
% 0.65/0.73 [95]P15(a2)
% 0.65/0.73 [96]P15(a46)
% 0.65/0.73 [97]P15(a1)
% 0.65/0.73 [98]P15(a48)
% 0.65/0.73 [99]P15(a51)
% 0.65/0.73 [100]P15(a52)
% 0.65/0.73 [101]P2(a50)
% 0.65/0.73 [102]P16(a50)
% 0.65/0.73 [103]P17(a50)
% 0.65/0.73 [104]P19(a50)
% 0.65/0.73 [105]P18(a50)
% 0.65/0.73 [106]P3(a50)
% 0.65/0.73 [107]P4(a50)
% 0.65/0.73 [109]~E(a16,a3)
% 0.65/0.73 [110]~P5(a50)
% 0.65/0.73 [108]E(f5(f5(a51,f4(a49,a50)),a52),a2)
% 0.65/0.73 [167]P11(a51,a49)+P11(a52,a49)
% 0.65/0.73 [119]~P15(x1191)+P6(x1191,a50)
% 0.65/0.73 [120]~P15(x1201)+P7(x1201,a50)
% 0.65/0.73 [121]~P15(x1211)+P14(x1211,a50)
% 0.65/0.73 [125]~P15(x1251)+P6(x1251,x1251)
% 0.65/0.73 [126]~P15(x1261)+P7(x1261,x1261)
% 0.65/0.73 [127]~P15(x1271)+P14(x1271,x1271)
% 0.65/0.73 [128]~P1(x1281)+P8(x1281,x1281)
% 0.65/0.73 [129]~P1(x1291)+P9(x1291,x1291)
% 0.65/0.73 [170]~P1(x1701)+~P11(a50,x1701)
% 0.65/0.73 [174]~P12(x1741,x1741)+~P1(x1741)
% 0.65/0.73 [123]~P15(x1231)+E(f5(x1231,a50),x1231)
% 0.65/0.73 [124]~P15(x1241)+E(f5(a50,x1241),x1241)
% 0.65/0.73 [179]~P1(x1791)+P2(f4(x1791,a50))
% 0.65/0.73 [180]~P1(x1801)+P16(f4(x1801,a50))
% 0.65/0.73 [181]~P1(x1811)+P17(f4(x1811,a50))
% 0.65/0.73 [182]~P1(x1821)+P19(f4(x1821,a50))
% 0.65/0.73 [183]~P1(x1831)+P18(f4(x1831,a50))
% 0.65/0.73 [184]~P1(x1841)+P3(f4(x1841,a50))
% 0.65/0.73 [185]~P1(x1851)+P4(f4(x1851,a50))
% 0.65/0.73 [164]~P15(x1641)+~E(a50,x1641)+P6(a50,x1641)
% 0.65/0.73 [165]~P15(x1651)+~E(a50,x1651)+P7(a50,x1651)
% 0.65/0.74 [166]~P15(x1661)+~E(a50,x1661)+P14(a50,x1661)
% 0.65/0.74 [171]~P15(x1711)+~P6(a50,x1711)+E(a50,x1711)
% 0.65/0.74 [172]~P15(x1721)+~P7(a50,x1721)+E(a50,x1721)
% 0.65/0.74 [173]~P15(x1731)+~P14(a50,x1731)+E(a50,x1731)
% 0.65/0.74 [111]~P15(x1111)+E(f53(x1111),f27(x1111))+E(a50,x1111)
% 0.65/0.74 [112]~P15(x1121)+E(f59(x1121),f45(x1121))+E(a50,x1121)
% 0.65/0.74 [113]~P15(x1131)+E(a50,x1131)+P1(f53(x1131))
% 0.65/0.74 [114]~P15(x1141)+E(a50,x1141)+P1(f28(x1141))
% 0.65/0.74 [115]~P15(x1151)+E(a50,x1151)+P1(f27(x1151))
% 0.65/0.74 [116]~P15(x1161)+E(a50,x1161)+P15(f59(x1161))
% 0.65/0.74 [117]~P15(x1171)+E(a50,x1171)+P15(f29(x1171))
% 0.65/0.74 [118]~P15(x1181)+E(a50,x1181)+P15(f45(x1181))
% 0.65/0.74 [122]P3(x1221)+~P15(x1221)+E(f30(x1221),f36(x1221))
% 0.65/0.74 [130]~P15(x1301)+P2(x1301)+P1(f6(x1301))
% 0.65/0.74 [131]~P15(x1311)+P2(x1311)+P1(f7(x1311))
% 0.65/0.74 [132]~P15(x1321)+P2(x1321)+P15(f8(x1321))
% 0.65/0.74 [133]~P15(x1331)+P2(x1331)+P15(f9(x1331))
% 0.65/0.74 [134]~P15(x1341)+P2(x1341)+P15(f10(x1341))
% 0.65/0.74 [135]~P15(x1351)+P16(x1351)+P1(f11(x1351))
% 0.65/0.74 [136]~P15(x1361)+P16(x1361)+P1(f12(x1361))
% 0.65/0.74 [137]~P15(x1371)+P16(x1371)+P15(f13(x1371))
% 0.65/0.74 [138]~P15(x1381)+P16(x1381)+P15(f14(x1381))
% 0.65/0.74 [139]~P15(x1391)+P16(x1391)+P15(f15(x1391))
% 0.65/0.74 [140]~P15(x1401)+P17(x1401)+P1(f17(x1401))
% 0.65/0.74 [141]~P15(x1411)+P17(x1411)+P1(f18(x1411))
% 0.65/0.74 [142]~P15(x1421)+P17(x1421)+P15(f19(x1421))
% 0.65/0.74 [143]~P15(x1431)+P17(x1431)+P15(f20(x1431))
% 0.65/0.74 [144]~P15(x1441)+P17(x1441)+P15(f21(x1441))
% 0.65/0.74 [145]~P15(x1451)+P19(x1451)+P1(f22(x1451))
% 0.65/0.74 [146]~P15(x1461)+P19(x1461)+P1(f23(x1461))
% 0.65/0.74 [147]~P15(x1471)+P19(x1471)+P15(f24(x1471))
% 0.65/0.74 [148]~P15(x1481)+P19(x1481)+P15(f25(x1481))
% 0.65/0.74 [149]~P15(x1491)+P19(x1491)+P15(f26(x1491))
% 0.65/0.74 [150]~P15(x1501)+P18(x1501)+P1(f31(x1501))
% 0.65/0.74 [151]~P15(x1511)+P18(x1511)+P1(f32(x1511))
% 0.65/0.74 [152]~P15(x1521)+P18(x1521)+P15(f33(x1521))
% 0.65/0.74 [153]~P15(x1531)+P18(x1531)+P15(f34(x1531))
% 0.65/0.74 [154]~P15(x1541)+P18(x1541)+P15(f35(x1541))
% 0.65/0.74 [155]~P15(x1551)+P3(x1551)+P1(f30(x1551))
% 0.65/0.74 [156]~P15(x1561)+P3(x1561)+P1(f36(x1561))
% 0.65/0.74 [157]~P15(x1571)+P3(x1571)+P15(f37(x1571))
% 0.65/0.74 [158]~P15(x1581)+P3(x1581)+P15(f38(x1581))
% 0.65/0.74 [159]~P15(x1591)+P3(x1591)+P15(f39(x1591))
% 0.65/0.74 [160]~P15(x1601)+P4(x1601)+P1(f40(x1601))
% 0.65/0.74 [161]~P15(x1611)+P4(x1611)+P1(f42(x1611))
% 0.65/0.74 [162]~P15(x1621)+P4(x1621)+P15(f43(x1621))
% 0.65/0.74 [163]~P15(x1631)+P4(x1631)+P15(f44(x1631))
% 0.65/0.74 [168]~P15(x1681)+P4(x1681)+~E(f42(x1681),f40(x1681))
% 0.65/0.74 [169]~P15(x1691)+~P5(x1691)+P1(f54(x1691))
% 0.65/0.74 [190]~P15(x1901)+P2(x1901)+P8(f6(x1901),f7(x1901))
% 0.65/0.74 [191]~P15(x1911)+P2(x1911)+P8(f7(x1911),f6(x1911))
% 0.65/0.74 [211]~P15(x2111)+P16(x2111)+~P8(f11(x2111),f12(x2111))
% 0.65/0.74 [212]~P15(x2121)+P16(x2121)+~P8(f12(x2121),f11(x2121))
% 0.65/0.74 [213]~P15(x2131)+P17(x2131)+~P12(f17(x2131),f18(x2131))
% 0.65/0.74 [214]~P15(x2141)+P17(x2141)+~P12(f18(x2141),f17(x2141))
% 0.65/0.74 [215]~P15(x2151)+P19(x2151)+~P8(f22(x2151),f23(x2151))
% 0.65/0.74 [216]~P15(x2161)+P18(x2161)+~P12(f31(x2161),f32(x2161))
% 0.65/0.74 [178]~P15(x1781)+~P5(x1781)+E(f4(f54(x1781),a50),x1781)
% 0.65/0.74 [186]~P15(x1861)+E(a50,x1861)+E(f4(f53(x1861),f59(x1861)),x1861)
% 0.65/0.74 [187]~P15(x1871)+E(a50,x1871)+E(f4(f28(x1871),f29(x1871)),x1871)
% 0.65/0.74 [278]P2(x2781)+~P15(x2781)+E(f5(f5(f8(x2781),f4(f6(x2781),f9(x2781))),f4(f7(x2781),f10(x2781))),x2781)
% 0.65/0.74 [279]P16(x2791)+~P15(x2791)+E(f5(f5(f13(x2791),f4(f11(x2791),f14(x2791))),f4(f12(x2791),f15(x2791))),x2791)
% 0.65/0.74 [280]P17(x2801)+~P15(x2801)+E(f5(f5(f19(x2801),f4(f17(x2801),f20(x2801))),f4(f18(x2801),f21(x2801))),x2801)
% 0.65/0.74 [281]P19(x2811)+~P15(x2811)+E(f5(f5(f24(x2811),f4(f22(x2811),f25(x2811))),f4(f23(x2811),f26(x2811))),x2811)
% 0.65/0.74 [282]P18(x2821)+~P15(x2821)+E(f5(f5(f33(x2821),f4(f31(x2821),f34(x2821))),f4(f32(x2821),f35(x2821))),x2821)
% 0.65/0.74 [283]P3(x2831)+~P15(x2831)+E(f5(f5(f37(x2831),f4(f30(x2831),f38(x2831))),f4(f36(x2831),f39(x2831))),x2831)
% 0.65/0.74 [274]P4(x2741)+~P15(x2741)+E(f5(f43(x2741),f4(f40(x2741),f4(f42(x2741),f44(x2741)))),x2741)
% 0.65/0.74 [188]~P1(x1881)+~P15(x1882)+~E(f4(x1881,x1882),a50)
% 0.65/0.74 [189]~P1(x1891)+~P15(x1892)+~E(f4(x1891,x1892),x1892)
% 0.65/0.74 [198]~P1(x1981)+~P15(x1982)+P15(f4(x1981,x1982))
% 0.65/0.74 [199]~P15(x1992)+~P15(x1991)+P15(f5(x1991,x1992))
% 0.65/0.74 [200]~P1(x2001)+~P15(x2002)+E(f53(f4(x2001,x2002)),x2001)
% 0.65/0.74 [201]~P1(x2011)+~P15(x2012)+E(f59(f4(x2011,x2012)),x2012)
% 0.65/0.74 [228]~P1(x2281)+~P15(x2282)+E(f5(f4(x2281,a50),x2282),f4(x2281,x2282))
% 0.65/0.74 [175]P13(x1751,x1752)+~P1(x1752)+~P1(x1751)+E(x1751,x1752)
% 0.65/0.74 [176]P13(x1761,x1762)+~P15(x1762)+~P15(x1761)+E(x1761,x1762)
% 0.65/0.74 [195]~P1(x1952)+~P1(x1951)+~P13(x1951,x1952)+~E(x1951,x1952)
% 0.65/0.74 [196]~P1(x1962)+~P1(x1961)+~P12(x1961,x1962)+~E(x1961,x1962)
% 0.65/0.74 [197]~P15(x1972)+~P15(x1971)+~P13(x1971,x1972)+~E(x1971,x1972)
% 0.65/0.74 [206]~P1(x2061)+~P1(x2062)+~P9(x2062,x2061)+P8(x2061,x2062)
% 0.65/0.74 [207]~P1(x2072)+~P1(x2071)+~P12(x2071,x2072)+P8(x2071,x2072)
% 0.65/0.74 [208]~P1(x2081)+~P1(x2082)+~P10(x2082,x2081)+P12(x2081,x2082)
% 0.65/0.74 [209]~P1(x2091)+~P1(x2092)+~P8(x2092,x2091)+P9(x2091,x2092)
% 0.65/0.74 [210]~P1(x2101)+~P1(x2102)+~P12(x2102,x2101)+P10(x2101,x2102)
% 0.65/0.74 [219]~P12(x2191,x2192)+~P12(x2192,x2191)+~P1(x2191)+~P1(x2192)
% 0.65/0.74 [220]~P10(x2201,x2202)+~P10(x2202,x2201)+~P1(x2201)+~P1(x2202)
% 0.65/0.74 [192]~P15(x1922)+~P15(x1921)+E(a50,x1921)+~E(f5(x1922,x1921),a50)
% 0.65/0.74 [193]~P15(x1932)+~P15(x1931)+E(a50,x1931)+~E(f5(x1931,x1932),a50)
% 0.65/0.74 [194]~P1(x1942)+~P15(x1941)+P5(x1941)+~E(f4(x1942,a50),x1941)
% 0.65/0.74 [203]~P1(x2031)+~P15(x2032)+~E(a50,x2032)+P19(f4(x2031,x2032))
% 0.65/0.74 [204]~P1(x2041)+~P15(x2042)+~E(a50,x2042)+P18(f4(x2041,x2042))
% 0.65/0.74 [231]~P1(x2312)+~P15(x2311)+~P11(x2311,x2312)+P15(f41(x2311,x2312))
% 0.65/0.74 [232]~P1(x2322)+~P15(x2321)+~P11(x2321,x2322)+P15(f47(x2321,x2322))
% 0.65/0.74 [233]~P15(x2332)+~P15(x2331)+~P6(x2331,x2332)+P15(f55(x2331,x2332))
% 0.65/0.74 [234]~P15(x2342)+~P15(x2341)+~P7(x2341,x2342)+P15(f56(x2341,x2342))
% 0.65/0.74 [235]~P15(x2352)+~P15(x2351)+~P14(x2351,x2352)+P15(f57(x2351,x2352))
% 0.65/0.74 [236]~P15(x2362)+~P15(x2361)+~P14(x2361,x2362)+P15(f58(x2361,x2362))
% 0.65/0.74 [205]~P15(x2052)+~P15(x2051)+E(a50,x2051)+E(f53(f5(x2051,x2052)),f53(x2051))
% 0.65/0.74 [230]~P15(x2302)+~P15(x2301)+E(a50,x2301)+E(f59(f5(x2301,x2302)),f5(f59(x2301),x2302))
% 0.65/0.74 [243]~P15(x2432)+~P15(x2431)+~P6(x2432,x2431)+E(f5(x2431,f55(x2432,x2431)),x2432)
% 0.65/0.74 [244]~P15(x2442)+~P15(x2441)+~P7(x2441,x2442)+E(f5(f56(x2441,x2442),x2442),x2441)
% 0.65/0.74 [273]~P15(x2732)+~P15(x2731)+~P14(x2731,x2732)+E(f5(f5(f57(x2731,x2732),x2732),f58(x2731,x2732)),x2731)
% 0.65/0.74 [272]~P1(x2722)+~P15(x2721)+~P11(x2721,x2722)+E(f5(f41(x2721,x2722),f4(x2722,f47(x2721,x2722))),x2721)
% 0.65/0.74 [262]~P1(x2621)+~P15(x2622)+~P15(x2623)+E(f5(f4(x2621,x2622),x2623),f4(x2621,f5(x2622,x2623)))
% 0.65/0.74 [263]~P15(x2633)+~P15(x2632)+~P15(x2631)+E(f5(f5(x2631,x2632),x2633),f5(x2631,f5(x2632,x2633)))
% 0.65/0.74 [218]P12(x2181,x2182)+~P1(x2182)+~P1(x2181)+~P8(x2181,x2182)+E(x2181,x2182)
% 0.65/0.74 [223]~P1(x2232)+~P1(x2231)+~P8(x2232,x2231)+~P8(x2231,x2232)+E(x2231,x2232)
% 0.65/0.74 [224]~P1(x2242)+~P1(x2241)+~P9(x2242,x2241)+~P9(x2241,x2242)+E(x2241,x2242)
% 0.65/0.74 [225]~P15(x2252)+~P15(x2251)+~P6(x2252,x2251)+~P6(x2251,x2252)+E(x2251,x2252)
% 0.65/0.74 [226]~P15(x2262)+~P15(x2261)+~P7(x2262,x2261)+~P7(x2261,x2262)+E(x2261,x2262)
% 0.65/0.74 [227]~P15(x2272)+~P15(x2271)+~P14(x2272,x2271)+~P14(x2271,x2272)+E(x2271,x2272)
% 0.65/0.74 [177]~P15(x1771)+~P15(x1772)+~E(a50,x1771)+~E(a50,x1772)+E(f5(x1771,x1772),a50)
% 0.65/0.74 [239]P19(x2391)+~P15(x2391)+~P1(x2392)+E(a50,x2391)+~P19(f4(x2392,x2391))
% 0.65/0.74 [240]P18(x2401)+~P15(x2401)+~P1(x2402)+E(a50,x2401)+~P18(f4(x2402,x2401))
% 0.65/0.74 [253]~P1(x2532)+~P15(x2531)+E(a50,x2531)+P8(x2532,f53(x2531))+~P19(f4(x2532,x2531))
% 0.65/0.74 [254]~P1(x2542)+~P15(x2541)+E(a50,x2541)+P12(x2542,f53(x2541))+~P18(f4(x2542,x2541))
% 0.65/0.74 [221]~P15(x2211)+~P15(x2212)+~P15(x2213)+P6(x2211,x2212)+~E(f5(x2212,x2213),x2211)
% 0.65/0.74 [222]~P15(x2221)+~P15(x2222)+~P15(x2223)+P7(x2221,x2222)+~E(f5(x2223,x2222),x2221)
% 0.65/0.74 [229]~E(x2293,x2291)+~P1(x2291)+~P1(x2293)+~P15(x2292)+P11(f4(x2291,x2292),x2293)
% 0.65/0.74 [237]~P15(x2372)+~P15(x2373)+~P15(x2371)+E(x2371,x2372)+~E(f5(x2373,x2371),f5(x2373,x2372))
% 0.65/0.74 [238]~P15(x2382)+~P15(x2383)+~P15(x2381)+E(x2381,x2382)+~E(f5(x2381,x2383),f5(x2382,x2383))
% 0.65/0.74 [255]~P1(x2551)+~P1(x2553)+~P15(x2552)+~P11(x2552,x2553)+P11(f4(x2551,x2552),x2553)
% 0.65/0.74 [256]~P1(x2563)+~P15(x2561)+~P15(x2562)+~P11(x2562,x2563)+P11(f5(x2561,x2562),x2563)
% 0.65/0.74 [257]~P1(x2573)+~P15(x2572)+~P15(x2571)+~P11(x2571,x2573)+P11(f5(x2571,x2572),x2573)
% 0.65/0.74 [258]~P15(x2582)+~P15(x2583)+~P15(x2581)+~P6(x2581,x2583)+P6(f5(x2581,x2582),x2583)
% 0.65/0.74 [259]~P15(x2591)+~P15(x2593)+~P15(x2592)+~P7(x2592,x2593)+P7(f5(x2591,x2592),x2593)
% 0.65/0.74 [275]~P1(x2752)+~P15(x2751)+~P15(x2753)+~P11(x2753,x2752)+~E(f5(f5(x2751,f4(x2752,a50)),x2753),a1)
% 0.65/0.74 [276]~P1(x2762)+~P15(x2763)+~P15(x2761)+~P11(x2761,x2762)+~E(f5(f5(x2761,f4(x2762,a50)),x2763),a1)
% 0.65/0.74 [260]~P1(x2602)+~P15(x2601)+~P19(x2601)+~P8(x2602,f53(x2601))+E(a50,x2601)+P19(f4(x2602,x2601))
% 0.65/0.74 [261]~P1(x2612)+~P15(x2611)+~P18(x2611)+~P12(x2612,f53(x2611))+E(a50,x2611)+P18(f4(x2612,x2611))
% 0.65/0.74 [245]~P15(x2452)+~P15(x2451)+~P6(x2453,x2452)+~P6(x2451,x2453)+P6(x2451,x2452)+~P15(x2453)
% 0.65/0.74 [246]~P15(x2462)+~P15(x2461)+~P7(x2463,x2462)+~P7(x2461,x2463)+P7(x2461,x2462)+~P15(x2463)
% 0.65/0.74 [247]~P15(x2472)+~P15(x2471)+~P14(x2473,x2472)+~P14(x2471,x2473)+P14(x2471,x2472)+~P15(x2473)
% 0.65/0.74 [248]~P1(x2482)+~P1(x2481)+~P8(x2483,x2482)+~P8(x2481,x2483)+P8(x2481,x2482)+~P1(x2483)
% 0.65/0.74 [249]~P1(x2492)+~P1(x2491)+~P8(x2491,x2493)+~P12(x2493,x2492)+P12(x2491,x2492)+~P1(x2493)
% 0.65/0.74 [250]~P1(x2502)+~P1(x2501)+~P12(x2503,x2502)+~P12(x2501,x2503)+P12(x2501,x2502)+~P1(x2503)
% 0.65/0.74 [251]~P1(x2512)+~P1(x2511)+~P9(x2513,x2512)+~P9(x2511,x2513)+P9(x2511,x2512)+~P1(x2513)
% 0.65/0.74 [252]~P1(x2522)+~P1(x2521)+~P10(x2523,x2522)+~P10(x2521,x2523)+P10(x2521,x2522)+~P1(x2523)
% 0.65/0.74 [264]~P1(x2642)+~P1(x2641)+~P15(x2643)+E(x2641,x2642)+P11(x2643,x2642)+~P11(f4(x2641,x2643),x2642)
% 0.65/0.74 [267]~P1(x2672)+~P15(x2671)+~P15(x2673)+P11(x2671,x2672)+P11(x2673,x2672)+~P11(f5(x2673,x2671),x2672)
% 0.65/0.74 [241]~P1(x2414)+~P1(x2413)+~P15(x2412)+~P15(x2411)+E(x2411,x2412)+~E(f4(x2413,x2412),f4(x2414,x2411))
% 0.65/0.74 [242]~P1(x2422)+~P1(x2421)+~P15(x2424)+~P15(x2423)+E(x2421,x2422)+~E(f4(x2421,x2423),f4(x2422,x2424))
% 0.65/0.74 [269]~P1(x2692)+~P1(x2691)+E(x2691,x2692)+~P15(x2693)+~P15(x2694)+~P6(f4(x2691,x2694),f4(x2692,x2693))
% 0.65/0.74 [271]~P15(x2712)+~P15(x2711)+P6(x2711,x2712)+~P1(x2713)+~P1(x2714)+~P6(f4(x2714,x2711),f4(x2713,x2712))
% 0.65/0.74 [265]~P1(x2652)+~P15(x2651)+~P15(x2654)+~P15(x2653)+P11(x2651,x2652)+~E(f5(x2653,f4(x2652,x2654)),x2651)
% 0.65/0.74 [266]~P15(x2661)+~P15(x2662)+~P15(x2664)+~P15(x2663)+P14(x2661,x2662)+~E(f5(f5(x2663,x2662),x2664),x2661)
% 0.65/0.74 [270]~P15(x2703)+~P15(x2701)+~P15(x2704)+~P15(x2702)+~P14(x2702,x2704)+P14(f5(f5(x2701,x2702),x2703),x2704)
% 0.65/0.74 [202]~P15(x2022)+~P15(x2021)+E(x2021,x2022)+E(a50,x2022)+E(a50,x2021)+~E(f53(x2021),f53(x2022))+~E(f59(x2021),f59(x2022))
% 0.65/0.74 [268]~E(x2681,x2683)+~P1(x2683)+~P1(x2681)+~P15(x2684)+~P15(x2682)+~P6(x2682,x2684)+P6(f4(x2681,x2682),f4(x2683,x2684))
% 0.65/0.74 [277]~P1(x2772)+~P1(x2771)+~P15(x2774)+~P15(x2773)+~P15(x2775)+~P4(x2775)+E(x2771,x2772)+~E(f5(x2773,f4(x2771,f4(x2772,x2774))),x2775)
% 0.65/0.74 [284]~P1(x2842)+~P1(x2841)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P3(x2846)+~E(x2841,x2842)+~E(f5(f5(x2843,f4(x2841,x2844)),f4(x2842,x2845)),x2846)
% 0.65/0.74 [285]~P1(x2852)+~P1(x2851)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P19(x2856)+P8(x2851,x2852)+~E(f5(f5(x2853,f4(x2851,x2854)),f4(x2852,x2855)),x2856)
% 0.65/0.74 [286]~P1(x2862)+~P1(x2861)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P18(x2866)+P12(x2861,x2862)+~E(f5(f5(x2863,f4(x2861,x2864)),f4(x2862,x2865)),x2866)
% 0.65/0.74 [287]P8(x2872,x2871)+~P1(x2871)+~P1(x2872)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P16(x2876)+P8(x2871,x2872)+~E(f5(f5(x2873,f4(x2872,x2874)),f4(x2871,x2875)),x2876)
% 0.65/0.74 [288]P12(x2882,x2881)+~P1(x2881)+~P1(x2882)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P17(x2886)+P12(x2881,x2882)+~E(f5(f5(x2883,f4(x2882,x2884)),f4(x2881,x2885)),x2886)
% 0.65/0.74 [289]~P1(x2894)+~P1(x2892)+~P15(x2895)+~P15(x2893)+~P15(x2891)+~P15(x2896)+~P2(x2896)+~P8(x2894,x2892)+~P8(x2892,x2894)+~E(f5(f5(x2891,f4(x2892,x2893)),f4(x2894,x2895)),x2896)
% 0.65/0.74 %EqnAxiom
% 0.65/0.74 [1]E(x11,x11)
% 0.65/0.74 [2]E(x22,x21)+~E(x21,x22)
% 0.65/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.65/0.74 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.65/0.74 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.65/0.74 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.65/0.74 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.65/0.74 [8]~E(x81,x82)+E(f7(x81),f7(x82))
% 0.65/0.74 [9]~E(x91,x92)+E(f53(x91),f53(x92))
% 0.65/0.74 [10]~E(x101,x102)+E(f27(x101),f27(x102))
% 0.65/0.74 [11]~E(x111,x112)+E(f59(x111),f59(x112))
% 0.65/0.74 [12]~E(x121,x122)+E(f45(x121),f45(x122))
% 0.65/0.74 [13]~E(x131,x132)+E(f34(x131),f34(x132))
% 0.65/0.74 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 0.65/0.74 [15]~E(x151,x152)+E(f47(x151,x153),f47(x152,x153))
% 0.65/0.74 [16]~E(x161,x162)+E(f47(x163,x161),f47(x163,x162))
% 0.65/0.74 [17]~E(x171,x172)+E(f41(x171,x173),f41(x172,x173))
% 0.65/0.74 [18]~E(x181,x182)+E(f41(x183,x181),f41(x183,x182))
% 0.65/0.74 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 0.65/0.74 [20]~E(x201,x202)+E(f56(x201,x203),f56(x202,x203))
% 0.65/0.74 [21]~E(x211,x212)+E(f56(x213,x211),f56(x213,x212))
% 0.65/0.74 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 0.65/0.74 [23]~E(x231,x232)+E(f36(x231),f36(x232))
% 0.65/0.74 [24]~E(x241,x242)+E(f9(x241),f9(x242))
% 0.65/0.74 [25]~E(x251,x252)+E(f6(x251),f6(x252))
% 0.65/0.74 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 0.65/0.74 [27]~E(x271,x272)+E(f55(x271,x273),f55(x272,x273))
% 0.65/0.74 [28]~E(x281,x282)+E(f55(x283,x281),f55(x283,x282))
% 0.65/0.74 [29]~E(x291,x292)+E(f8(x291),f8(x292))
% 0.65/0.74 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 0.65/0.74 [31]~E(x311,x312)+E(f10(x311),f10(x312))
% 0.65/0.74 [32]~E(x321,x322)+E(f57(x321,x323),f57(x322,x323))
% 0.65/0.74 [33]~E(x331,x332)+E(f57(x333,x331),f57(x333,x332))
% 0.65/0.74 [34]~E(x341,x342)+E(f12(x341),f12(x342))
% 0.65/0.74 [35]~E(x351,x352)+E(f13(x351),f13(x352))
% 0.65/0.74 [36]~E(x361,x362)+E(f14(x361),f14(x362))
% 0.65/0.74 [37]~E(x371,x372)+E(f15(x371),f15(x372))
% 0.65/0.74 [38]~E(x381,x382)+E(f38(x381),f38(x382))
% 0.65/0.74 [39]~E(x391,x392)+E(f18(x391),f18(x392))
% 0.65/0.74 [40]~E(x401,x402)+E(f19(x401),f19(x402))
% 0.65/0.74 [41]~E(x411,x412)+E(f20(x411),f20(x412))
% 0.65/0.74 [42]~E(x421,x422)+E(f21(x421),f21(x422))
% 0.65/0.74 [43]~E(x431,x432)+E(f22(x431),f22(x432))
% 0.65/0.74 [44]~E(x441,x442)+E(f23(x441),f23(x442))
% 0.65/0.74 [45]~E(x451,x452)+E(f24(x451),f24(x452))
% 0.65/0.74 [46]~E(x461,x462)+E(f25(x461),f25(x462))
% 0.65/0.74 [47]~E(x471,x472)+E(f26(x471),f26(x472))
% 0.65/0.74 [48]~E(x481,x482)+E(f31(x481),f31(x482))
% 0.65/0.74 [49]~E(x491,x492)+E(f32(x491),f32(x492))
% 0.65/0.74 [50]~E(x501,x502)+E(f33(x501),f33(x502))
% 0.65/0.74 [51]~E(x511,x512)+E(f37(x511),f37(x512))
% 0.65/0.74 [52]~E(x521,x522)+E(f35(x521),f35(x522))
% 0.65/0.74 [53]~E(x531,x532)+E(f44(x531),f44(x532))
% 0.65/0.74 [54]~E(x541,x542)+E(f39(x541),f39(x542))
% 0.65/0.74 [55]~E(x551,x552)+E(f58(x551,x553),f58(x552,x553))
% 0.65/0.74 [56]~E(x561,x562)+E(f58(x563,x561),f58(x563,x562))
% 0.65/0.74 [57]~E(x571,x572)+E(f43(x571),f43(x572))
% 0.65/0.74 [58]~E(x581,x582)+E(f54(x581),f54(x582))
% 0.65/0.74 [59]~E(x591,x592)+E(f40(x591),f40(x592))
% 0.65/0.74 [60]~E(x601,x602)+E(f42(x601),f42(x602))
% 0.65/0.74 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.65/0.74 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 0.65/0.74 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 0.65/0.74 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.65/0.74 [65]P6(x652,x653)+~E(x651,x652)+~P6(x651,x653)
% 0.65/0.74 [66]P6(x663,x662)+~E(x661,x662)+~P6(x663,x661)
% 0.65/0.74 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 0.65/0.74 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 0.65/0.74 [69]P12(x692,x693)+~E(x691,x692)+~P12(x691,x693)
% 0.65/0.74 [70]P12(x703,x702)+~E(x701,x702)+~P12(x703,x701)
% 0.65/0.74 [71]P13(x712,x713)+~E(x711,x712)+~P13(x711,x713)
% 0.65/0.74 [72]P13(x723,x722)+~E(x721,x722)+~P13(x723,x721)
% 0.65/0.74 [73]~P16(x731)+P16(x732)+~E(x731,x732)
% 0.65/0.74 [74]~P18(x741)+P18(x742)+~E(x741,x742)
% 0.65/0.74 [75]~P19(x751)+P19(x752)+~E(x751,x752)
% 0.65/0.74 [76]~P2(x761)+P2(x762)+~E(x761,x762)
% 0.65/0.74 [77]~P4(x771)+P4(x772)+~E(x771,x772)
% 0.65/0.74 [78]~P17(x781)+P17(x782)+~E(x781,x782)
% 0.65/0.74 [79]~P5(x791)+P5(x792)+~E(x791,x792)
% 0.65/0.74 [80]P10(x802,x803)+~E(x801,x802)+~P10(x801,x803)
% 0.65/0.74 [81]P10(x813,x812)+~E(x811,x812)+~P10(x813,x811)
% 0.65/0.74 [82]~P3(x821)+P3(x822)+~E(x821,x822)
% 0.65/0.74 [83]P14(x832,x833)+~E(x831,x832)+~P14(x831,x833)
% 0.65/0.74 [84]P14(x843,x842)+~E(x841,x842)+~P14(x843,x841)
% 0.65/0.74 [85]P7(x852,x853)+~E(x851,x852)+~P7(x851,x853)
% 0.65/0.74 [86]P7(x863,x862)+~E(x861,x862)+~P7(x863,x861)
% 0.65/0.74 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.65/0.74 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.65/0.74
% 0.65/0.74 %-------------------------------------------
% 0.65/0.74 cnf(296,plain,
% 0.65/0.74 (~P13(x2961,x2961)+~P15(x2961)+~P15(x2961)),
% 0.65/0.74 inference(equality_inference,[],[197])).
% 0.65/0.74 cnf(342,plain,
% 0.65/0.74 (E(a1,f5(f5(a51,f4(a49,a50)),a52))),
% 0.65/0.74 inference(scs_inference,[],[89,108,92,174,2,3])).
% 0.65/0.74 cnf(361,plain,
% 0.65/0.74 ($false),
% 0.65/0.74 inference(scs_inference,[],[98,99,100,93,342,2,296,275,276,167]),
% 0.65/0.74 ['proof']).
% 0.65/0.74 % SZS output end Proof
% 0.65/0.74 % Total time :0.060000s
%------------------------------------------------------------------------------