TSTP Solution File: SWC254-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWC254-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Thu Aug 31 20:17:57 EDT 2023
% Result : Unsatisfiable 1.05s 1.14s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC254-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 17:55:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 1.05/1.13 %-------------------------------------------
% 1.05/1.13 % File :CSE---1.6
% 1.05/1.13 % Problem :theBenchmark
% 1.05/1.13 % Transform :cnf
% 1.05/1.13 % Format :tptp:raw
% 1.05/1.13 % Command :java -jar mcs_scs.jar %d %s
% 1.05/1.13
% 1.05/1.13 % Result :Theorem 0.490000s
% 1.05/1.13 % Output :CNFRefutation 0.490000s
% 1.05/1.13 %-------------------------------------------
% 1.05/1.14 %--------------------------------------------------------------------------
% 1.05/1.14 % File : SWC254-1 : TPTP v8.1.2. Released v2.4.0.
% 1.05/1.14 % Domain : Software Creation
% 1.05/1.14 % Problem : cond_pst_singleton_ne_x_last
% 1.05/1.14 % Version : [Wei00] axioms.
% 1.05/1.14 % English : Find components in a software library that match a given target
% 1.05/1.14 % specification given in first-order logic. The components are
% 1.05/1.14 % specified in first-order logic as well. The problem represents
% 1.05/1.14 % a test of one library module specification against a target
% 1.05/1.14 % specification.
% 1.05/1.14
% 1.05/1.14 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 1.05/1.14 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 1.05/1.14 % Source : [TPTP]
% 1.05/1.14 % Names :
% 1.05/1.14
% 1.05/1.14 % Status : Unsatisfiable
% 1.05/1.14 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.45 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.35 v5.0.0, 0.29 v4.1.0, 0.31 v4.0.1, 0.27 v4.0.0, 0.36 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.22 v2.5.0, 0.11 v2.4.0
% 1.05/1.14 % Syntax : Number of clauses : 203 ( 60 unt; 38 nHn; 160 RR)
% 1.05/1.14 % Number of literals : 634 ( 104 equ; 406 neg)
% 1.05/1.14 % Maximal clause size : 10 ( 3 avg)
% 1.05/1.14 % Maximal term depth : 5 ( 1 avg)
% 1.05/1.14 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 1.05/1.14 % Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% 1.05/1.14 % Number of variables : 326 ( 49 sgn)
% 1.05/1.14 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.05/1.14
% 1.05/1.14 % Comments : Created by CNF conversion from SWC254+1
% 1.05/1.14 %--------------------------------------------------------------------------
% 1.05/1.14 %----Include list specification axioms
% 1.05/1.14 include('Axioms/SWC001-0.ax').
% 1.05/1.14 %--------------------------------------------------------------------------
% 1.05/1.14 cnf(co1_1,negated_conjecture,
% 1.05/1.14 ssList(sk1) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_2,negated_conjecture,
% 1.05/1.14 ssList(sk2) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_3,negated_conjecture,
% 1.05/1.14 ssList(sk3) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_4,negated_conjecture,
% 1.05/1.14 ssList(sk4) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_5,negated_conjecture,
% 1.05/1.14 sk2 = sk4 ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_6,negated_conjecture,
% 1.05/1.14 sk1 = sk3 ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_7,negated_conjecture,
% 1.05/1.14 ( neq(sk2,nil)
% 1.05/1.14 | neq(sk2,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_8,negated_conjecture,
% 1.05/1.14 ( neq(sk2,nil)
% 1.05/1.14 | ~ neq(sk4,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_9,negated_conjecture,
% 1.05/1.14 ( ssItem(sk5)
% 1.05/1.14 | neq(sk2,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_10,negated_conjecture,
% 1.05/1.14 ( ssList(sk6)
% 1.05/1.14 | neq(sk2,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_11,negated_conjecture,
% 1.05/1.14 ( cons(sk5,nil) = sk3
% 1.05/1.14 | neq(sk2,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_12,negated_conjecture,
% 1.05/1.14 ( app(sk6,cons(sk5,nil)) = sk4
% 1.05/1.14 | neq(sk2,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_13,negated_conjecture,
% 1.05/1.14 ( ~ singletonP(sk1)
% 1.05/1.14 | neq(sk2,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_14,negated_conjecture,
% 1.05/1.14 ( ssItem(sk5)
% 1.05/1.14 | ~ neq(sk4,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_15,negated_conjecture,
% 1.05/1.14 ( ssList(sk6)
% 1.05/1.14 | ~ neq(sk4,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_16,negated_conjecture,
% 1.05/1.14 ( cons(sk5,nil) = sk3
% 1.05/1.14 | ~ neq(sk4,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_17,negated_conjecture,
% 1.05/1.14 ( app(sk6,cons(sk5,nil)) = sk4
% 1.05/1.14 | ~ neq(sk4,nil) ) ).
% 1.05/1.14
% 1.05/1.14 cnf(co1_18,negated_conjecture,
% 1.05/1.14 ( ~ singletonP(sk1)
% 1.05/1.14 | ~ neq(sk4,nil) ) ).
% 1.05/1.14
% 1.05/1.14 %--------------------------------------------------------------------------
% 1.05/1.14 %-------------------------------------------
% 1.05/1.14 % Proof found
% 1.05/1.14 % SZS status Theorem for theBenchmark
% 1.05/1.14 % SZS output start Proof
% 1.05/1.14 %ClaNum:288(EqnAxiom:85)
% 1.05/1.14 %VarNum:891(SingletonVarNum:322)
% 1.05/1.14 %MaxLitNum:10
% 1.05/1.14 %MaxfuncDepth:4
% 1.05/1.14 %SharedTerms:36
% 1.05/1.14 %goalClause: 86 87 96 97 98 99 138 160 161 170 177 212
% 1.05/1.14 %singleGoalClaCount:7
% 1.05/1.14 [86]E(a1,a2)
% 1.05/1.14 [87]E(a7,a8)
% 1.05/1.14 [88]P1(a3)
% 1.05/1.14 [89]P2(a3)
% 1.05/1.14 [90]P4(a3)
% 1.05/1.14 [91]P18(a3)
% 1.05/1.14 [92]P5(a3)
% 1.05/1.14 [93]P19(a3)
% 1.05/1.14 [94]P3(a3)
% 1.05/1.14 [95]P6(a3)
% 1.05/1.14 [96]P6(a2)
% 1.05/1.14 [97]P6(a7)
% 1.05/1.14 [98]P6(a1)
% 1.05/1.14 [99]P6(a8)
% 1.05/1.14 [100]P7(a9)
% 1.05/1.14 [101]P7(a10)
% 1.05/1.14 [138]P8(a7,a3)
% 1.05/1.14 [145]~E(a10,a9)
% 1.05/1.14 [146]~P15(a3)
% 1.05/1.14 [102]P6(f13(x1021))
% 1.05/1.14 [103]P6(f14(x1031))
% 1.05/1.14 [104]P6(f15(x1041))
% 1.05/1.14 [105]P6(f16(x1051))
% 1.05/1.14 [106]P6(f17(x1061))
% 1.05/1.14 [107]P6(f18(x1071))
% 1.05/1.14 [108]P6(f19(x1081))
% 1.05/1.14 [109]P6(f20(x1091))
% 1.05/1.14 [110]P6(f21(x1101))
% 1.05/1.15 [111]P6(f22(x1111))
% 1.05/1.15 [112]P6(f23(x1121))
% 1.05/1.15 [113]P6(f24(x1131))
% 1.05/1.15 [114]P6(f25(x1141))
% 1.05/1.15 [115]P6(f26(x1151))
% 1.05/1.15 [116]P6(f27(x1161))
% 1.05/1.15 [117]P6(f28(x1171))
% 1.05/1.15 [118]P6(f29(x1181))
% 1.05/1.15 [119]P6(f30(x1191))
% 1.05/1.15 [120]P6(f31(x1201))
% 1.05/1.15 [121]P6(f32(x1211))
% 1.05/1.15 [122]P6(f33(x1221))
% 1.05/1.15 [123]P7(f54(x1231))
% 1.05/1.15 [124]P7(f52(x1241))
% 1.05/1.15 [125]P7(f53(x1251))
% 1.05/1.15 [126]P7(f51(x1261))
% 1.05/1.15 [127]P7(f49(x1271))
% 1.05/1.15 [128]P7(f50(x1281))
% 1.05/1.15 [129]P7(f47(x1291))
% 1.05/1.15 [130]P7(f48(x1301))
% 1.05/1.15 [131]P7(f45(x1311))
% 1.05/1.15 [132]P7(f46(x1321))
% 1.05/1.15 [133]P7(f43(x1331))
% 1.05/1.15 [134]P7(f44(x1341))
% 1.05/1.15 [135]P7(f34(x1351))
% 1.05/1.15 [136]P7(f35(x1361))
% 1.05/1.15 [137]P7(f36(x1371))
% 1.05/1.15 [139]P6(f39(x1391,x1392))
% 1.05/1.15 [140]P6(f40(x1401,x1402))
% 1.05/1.15 [141]P6(f41(x1411,x1412))
% 1.05/1.15 [142]P6(f42(x1421,x1422))
% 1.05/1.15 [143]P6(f37(x1431,x1432))
% 1.05/1.15 [144]P6(f38(x1441,x1442))
% 1.05/1.15 [160]P6(a11)+~P8(a8,a3)
% 1.05/1.15 [161]~P8(a8,a3)+P7(a12)
% 1.05/1.15 [170]~P8(a8,a3)+~P15(a2)
% 1.05/1.15 [177]~P8(a8,a3)+E(f6(a12,a3),a1)
% 1.05/1.15 [212]~P8(a8,a3)+E(f5(a11,f6(a12,a3)),a8)
% 1.05/1.15 [155]~P6(x1551)+P16(x1551,a3)
% 1.05/1.15 [156]~P6(x1561)+P17(x1561,a3)
% 1.05/1.15 [157]~P6(x1571)+P9(x1571,a3)
% 1.05/1.15 [162]~P7(x1621)+P10(x1621,x1621)
% 1.05/1.15 [163]~P6(x1631)+P16(x1631,x1631)
% 1.05/1.15 [164]~P6(x1641)+P17(x1641,x1641)
% 1.05/1.15 [165]~P6(x1651)+P9(x1651,x1651)
% 1.05/1.15 [166]~P7(x1661)+P11(x1661,x1661)
% 1.05/1.15 [173]~P7(x1731)+~P13(a3,x1731)
% 1.05/1.15 [179]~P14(x1791,x1791)+~P7(x1791)
% 1.05/1.15 [158]~P6(x1581)+E(f5(x1581,a3),x1581)
% 1.05/1.15 [159]~P6(x1591)+E(f5(a3,x1591),x1591)
% 1.05/1.15 [184]~P7(x1841)+P1(f6(x1841,a3))
% 1.05/1.15 [185]~P7(x1851)+P2(f6(x1851,a3))
% 1.05/1.15 [186]~P7(x1861)+P4(f6(x1861,a3))
% 1.05/1.15 [187]~P7(x1871)+P18(f6(x1871,a3))
% 1.05/1.15 [188]~P7(x1881)+P5(f6(x1881,a3))
% 1.05/1.15 [189]~P7(x1891)+P19(f6(x1891,a3))
% 1.05/1.15 [190]~P7(x1901)+P3(f6(x1901,a3))
% 1.05/1.15 [167]~P6(x1671)+~E(a3,x1671)+P16(a3,x1671)
% 1.05/1.15 [168]~P6(x1681)+~E(a3,x1681)+P17(a3,x1681)
% 1.05/1.15 [169]~P6(x1691)+~E(a3,x1691)+P9(a3,x1691)
% 1.05/1.15 [174]~P6(x1741)+~P16(a3,x1741)+E(a3,x1741)
% 1.05/1.15 [175]~P6(x1751)+~P17(a3,x1751)+E(a3,x1751)
% 1.05/1.15 [176]~P6(x1761)+~P9(a3,x1761)+E(a3,x1761)
% 1.05/1.15 [152]~P6(x1521)+E(a3,x1521)+P6(f55(x1521))
% 1.05/1.15 [154]~P6(x1541)+E(a3,x1541)+P7(f4(x1541))
% 1.05/1.15 [172]~P6(x1721)+P1(x1721)+~E(f53(x1721),f52(x1721))
% 1.05/1.15 [195]~P6(x1951)+P3(x1951)+P11(f34(x1951),f35(x1951))
% 1.05/1.15 [196]~P6(x1961)+P3(x1961)+P11(f35(x1961),f34(x1961))
% 1.05/1.15 [218]~P6(x2181)+P4(x2181)+~P14(f50(x2181),f49(x2181))
% 1.05/1.15 [219]~P6(x2191)+P18(x2191)+~P11(f48(x2191),f47(x2191))
% 1.05/1.15 [220]~P6(x2201)+P5(x2201)+~P14(f45(x2201),f46(x2201))
% 1.05/1.15 [221]~P6(x2211)+P5(x2211)+~P14(f46(x2211),f45(x2211))
% 1.05/1.15 [222]~P6(x2221)+P19(x2221)+~P11(f43(x2221),f44(x2221))
% 1.05/1.15 [223]~P6(x2231)+P19(x2231)+~P11(f44(x2231),f43(x2231))
% 1.05/1.15 [183]~P6(x1831)+~P15(x1831)+E(f6(f36(x1831),a3),x1831)
% 1.05/1.15 [191]~P6(x1911)+E(a3,x1911)+E(f6(f54(x1911),f13(x1911)),x1911)
% 1.05/1.15 [192]~P6(x1921)+E(a3,x1921)+E(f6(f4(x1921),f55(x1921)),x1921)
% 1.05/1.15 [277]P2(x2771)+~P6(x2771)+E(f5(f5(f18(x2771),f6(f51(x2771),f17(x2771))),f6(f51(x2771),f16(x2771))),x2771)
% 1.05/1.15 [278]P4(x2781)+~P6(x2781)+E(f5(f5(f21(x2781),f6(f50(x2781),f20(x2781))),f6(f49(x2781),f19(x2781))),x2781)
% 1.05/1.15 [279]P18(x2791)+~P6(x2791)+E(f5(f5(f24(x2791),f6(f48(x2791),f23(x2791))),f6(f47(x2791),f22(x2791))),x2791)
% 1.05/1.15 [280]P5(x2801)+~P6(x2801)+E(f5(f5(f27(x2801),f6(f46(x2801),f26(x2801))),f6(f45(x2801),f25(x2801))),x2801)
% 1.05/1.15 [281]P19(x2811)+~P6(x2811)+E(f5(f5(f30(x2811),f6(f44(x2811),f29(x2811))),f6(f43(x2811),f28(x2811))),x2811)
% 1.05/1.15 [282]P3(x2821)+~P6(x2821)+E(f5(f5(f33(x2821),f6(f35(x2821),f32(x2821))),f6(f34(x2821),f31(x2821))),x2821)
% 1.05/1.15 [275]P1(x2751)+~P6(x2751)+E(f5(f15(x2751),f6(f53(x2751),f6(f52(x2751),f14(x2751)))),x2751)
% 1.05/1.15 [150]~P6(x1501)+P2(x1501)+P7(x1502)
% 1.05/1.15 [193]~P6(x1932)+~P7(x1931)+~E(f6(x1931,x1932),a3)
% 1.05/1.15 [194]~P6(x1942)+~P7(x1941)+~E(f6(x1941,x1942),x1942)
% 1.05/1.15 [204]~P6(x2042)+~P7(x2041)+P6(f6(x2041,x2042))
% 1.05/1.15 [205]~P6(x2051)+~P6(x2052)+P6(f5(x2051,x2052))
% 1.05/1.15 [206]~P6(x2062)+~P7(x2061)+E(f55(f6(x2061,x2062)),x2062)
% 1.05/1.15 [207]~P6(x2072)+~P7(x2071)+E(f4(f6(x2071,x2072)),x2071)
% 1.05/1.15 [235]~P6(x2352)+~P7(x2351)+E(f5(f6(x2351,a3),x2352),f6(x2351,x2352))
% 1.05/1.15 [180]P8(x1802,x1801)+~P6(x1802)+~P6(x1801)+E(x1801,x1802)
% 1.05/1.15 [181]P8(x1812,x1811)+~P7(x1812)+~P7(x1811)+E(x1811,x1812)
% 1.05/1.15 [200]~P6(x2002)+~P6(x2001)+~P8(x2001,x2002)+~E(x2001,x2002)
% 1.05/1.15 [201]~P7(x2012)+~P7(x2011)+~P14(x2011,x2012)+~E(x2011,x2012)
% 1.05/1.15 [202]~P7(x2022)+~P7(x2021)+~P8(x2021,x2022)+~E(x2021,x2022)
% 1.05/1.15 [213]~P7(x2131)+~P7(x2132)+~P11(x2132,x2131)+P10(x2131,x2132)
% 1.05/1.15 [214]~P7(x2141)+~P7(x2142)+~P10(x2142,x2141)+P11(x2141,x2142)
% 1.05/1.15 [215]~P7(x2152)+~P7(x2151)+~P14(x2151,x2152)+P11(x2151,x2152)
% 1.05/1.15 [216]~P7(x2161)+~P7(x2162)+~P12(x2162,x2161)+P14(x2161,x2162)
% 1.05/1.15 [217]~P7(x2171)+~P7(x2172)+~P14(x2172,x2171)+P12(x2171,x2172)
% 1.05/1.15 [226]~P14(x2261,x2262)+~P14(x2262,x2261)+~P7(x2261)+~P7(x2262)
% 1.05/1.15 [227]~P12(x2271,x2272)+~P12(x2272,x2271)+~P7(x2271)+~P7(x2272)
% 1.05/1.15 [197]~P6(x1971)+~P6(x1972)+E(a3,x1971)+~E(f5(x1972,x1971),a3)
% 1.05/1.15 [198]~P6(x1982)+~P6(x1981)+E(a3,x1981)+~E(f5(x1981,x1982),a3)
% 1.05/1.15 [199]~P6(x1991)+~P7(x1992)+P15(x1991)+~E(f6(x1992,a3),x1991)
% 1.05/1.15 [209]~P6(x2092)+~P7(x2091)+~E(a3,x2092)+P4(f6(x2091,x2092))
% 1.05/1.15 [210]~P6(x2102)+~P7(x2101)+~E(a3,x2102)+P18(f6(x2101,x2102))
% 1.05/1.15 [211]~P6(x2111)+~P6(x2112)+E(a3,x2111)+E(f4(f5(x2111,x2112)),f4(x2111))
% 1.05/1.15 [237]~P6(x2371)+~P6(x2372)+E(a3,x2371)+E(f55(f5(x2371,x2372)),f5(f55(x2371),x2372))
% 1.05/1.15 [244]~P6(x2441)+~P6(x2442)+~P9(x2442,x2441)+E(f5(x2441,f42(x2442,x2441)),x2442)
% 1.05/1.15 [245]~P6(x2452)+~P6(x2451)+~P17(x2451,x2452)+E(f5(f41(x2451,x2452),x2452),x2451)
% 1.05/1.15 [274]~P6(x2742)+~P6(x2741)+~P16(x2741,x2742)+E(f5(f5(f40(x2741,x2742),x2742),f39(x2742,x2741)),x2741)
% 1.05/1.15 [273]~P6(x2731)+~P7(x2732)+~P13(x2731,x2732)+E(f5(f38(x2731,x2732),f6(x2732,f37(x2732,x2731))),x2731)
% 1.05/1.15 [263]~P6(x2633)+~P6(x2632)+~P7(x2631)+E(f5(f6(x2631,x2632),x2633),f6(x2631,f5(x2632,x2633)))
% 1.05/1.15 [264]~P6(x2641)+~P6(x2642)+~P6(x2643)+E(f5(f5(x2641,x2642),x2643),f5(x2641,f5(x2642,x2643)))
% 1.05/1.15 [225]P14(x2251,x2252)+~P7(x2252)+~P7(x2251)+~P11(x2251,x2252)+E(x2251,x2252)
% 1.05/1.15 [230]~P6(x2302)+~P6(x2301)+~P16(x2302,x2301)+~P16(x2301,x2302)+E(x2301,x2302)
% 1.05/1.15 [231]~P6(x2312)+~P6(x2311)+~P17(x2312,x2311)+~P17(x2311,x2312)+E(x2311,x2312)
% 1.05/1.15 [232]~P6(x2322)+~P6(x2321)+~P9(x2322,x2321)+~P9(x2321,x2322)+E(x2321,x2322)
% 1.05/1.15 [233]~P7(x2332)+~P7(x2331)+~P10(x2332,x2331)+~P10(x2331,x2332)+E(x2331,x2332)
% 1.05/1.15 [234]~P7(x2342)+~P7(x2341)+~P11(x2342,x2341)+~P11(x2341,x2342)+E(x2341,x2342)
% 1.05/1.15 [182]~P6(x1822)+~P6(x1821)+~E(a3,x1822)+~E(a3,x1821)+E(f5(x1821,x1822),a3)
% 1.05/1.15 [240]P4(x2401)+~P6(x2401)+~P7(x2402)+E(a3,x2401)+~P4(f6(x2402,x2401))
% 1.05/1.15 [241]P18(x2411)+~P6(x2411)+~P7(x2412)+E(a3,x2411)+~P18(f6(x2412,x2411))
% 1.05/1.15 [254]~P6(x2541)+~P7(x2542)+E(a3,x2541)+P11(x2542,f4(x2541))+~P18(f6(x2542,x2541))
% 1.05/1.15 [255]~P6(x2551)+~P7(x2552)+E(a3,x2551)+P14(x2552,f4(x2551))+~P4(f6(x2552,x2551))
% 1.05/1.15 [228]~P6(x2281)+~P6(x2282)+~P6(x2283)+P17(x2281,x2282)+~E(f5(x2283,x2282),x2281)
% 1.05/1.15 [229]~P6(x2291)+~P6(x2293)+~P6(x2292)+P9(x2291,x2292)+~E(f5(x2292,x2293),x2291)
% 1.05/1.15 [236]~E(x2363,x2361)+~P6(x2362)+~P7(x2361)+~P7(x2363)+P13(f6(x2361,x2362),x2363)
% 1.05/1.15 [238]~P6(x2382)+~P6(x2381)+~P6(x2383)+E(x2381,x2382)+~E(f5(x2383,x2381),f5(x2383,x2382))
% 1.05/1.15 [239]~P6(x2392)+~P6(x2393)+~P6(x2391)+E(x2391,x2392)+~E(f5(x2391,x2393),f5(x2392,x2393))
% 1.05/1.15 [256]~P6(x2561)+~P6(x2563)+~P6(x2562)+~P17(x2562,x2563)+P17(f5(x2561,x2562),x2563)
% 1.05/1.15 [257]~P6(x2572)+~P6(x2573)+~P6(x2571)+~P9(x2571,x2573)+P9(f5(x2571,x2572),x2573)
% 1.05/1.15 [258]~P6(x2582)+~P7(x2581)+~P7(x2583)+~P13(x2582,x2583)+P13(f6(x2581,x2582),x2583)
% 1.05/1.15 [259]~P6(x2591)+~P6(x2592)+~P7(x2593)+~P13(x2592,x2593)+P13(f5(x2591,x2592),x2593)
% 1.05/1.15 [260]~P6(x2602)+~P6(x2601)+~P7(x2603)+~P13(x2601,x2603)+P13(f5(x2601,x2602),x2603)
% 1.05/1.15 [261]~P4(x2611)+~P6(x2611)+~P7(x2612)+~P14(x2612,f4(x2611))+E(a3,x2611)+P4(f6(x2612,x2611))
% 1.05/1.15 [262]~P18(x2621)+~P6(x2621)+~P7(x2622)+~P11(x2622,f4(x2621))+E(a3,x2621)+P18(f6(x2622,x2621))
% 1.05/1.15 [246]~P7(x2462)+~P7(x2461)+~P10(x2463,x2462)+~P10(x2461,x2463)+P10(x2461,x2462)+~P7(x2463)
% 1.05/1.15 [247]~P6(x2472)+~P6(x2471)+~P16(x2473,x2472)+~P16(x2471,x2473)+P16(x2471,x2472)+~P6(x2473)
% 1.05/1.15 [248]~P6(x2482)+~P6(x2481)+~P17(x2483,x2482)+~P17(x2481,x2483)+P17(x2481,x2482)+~P6(x2483)
% 1.05/1.15 [249]~P6(x2492)+~P6(x2491)+~P9(x2493,x2492)+~P9(x2491,x2493)+P9(x2491,x2492)+~P6(x2493)
% 1.05/1.15 [250]~P7(x2502)+~P7(x2501)+~P11(x2503,x2502)+~P11(x2501,x2503)+P11(x2501,x2502)+~P7(x2503)
% 1.05/1.15 [251]~P7(x2512)+~P7(x2511)+~P11(x2511,x2513)+~P14(x2513,x2512)+P14(x2511,x2512)+~P7(x2513)
% 1.05/1.15 [252]~P7(x2522)+~P7(x2521)+~P14(x2523,x2522)+~P14(x2521,x2523)+P14(x2521,x2522)+~P7(x2523)
% 1.05/1.15 [253]~P7(x2532)+~P7(x2531)+~P12(x2533,x2532)+~P12(x2531,x2533)+P12(x2531,x2532)+~P7(x2533)
% 1.05/1.15 [265]~P6(x2653)+~P7(x2652)+~P7(x2651)+E(x2651,x2652)+P13(x2653,x2652)+~P13(f6(x2651,x2653),x2652)
% 1.05/1.15 [268]~P6(x2681)+~P6(x2683)+~P7(x2682)+P13(x2681,x2682)+P13(x2683,x2682)+~P13(f5(x2683,x2681),x2682)
% 1.05/1.15 [242]~P6(x2422)+~P6(x2421)+~P7(x2424)+~P7(x2423)+E(x2421,x2422)+~E(f6(x2423,x2421),f6(x2424,x2422))
% 1.05/1.15 [243]~P6(x2434)+~P6(x2433)+~P7(x2432)+~P7(x2431)+E(x2431,x2432)+~E(f6(x2431,x2433),f6(x2432,x2434))
% 1.05/1.15 [270]~P7(x2702)+~P7(x2701)+E(x2701,x2702)+~P6(x2703)+~P6(x2704)+~P9(f6(x2701,x2704),f6(x2702,x2703))
% 1.05/1.15 [272]~P6(x2722)+~P6(x2721)+P9(x2721,x2722)+~P7(x2723)+~P7(x2724)+~P9(f6(x2724,x2721),f6(x2723,x2722))
% 1.05/1.15 [266]~P6(x2661)+~P6(x2664)+~P6(x2663)+~P7(x2662)+P13(x2661,x2662)+~E(f5(x2663,f6(x2662,x2664)),x2661)
% 1.05/1.15 [267]~P6(x2671)+~P6(x2674)+~P6(x2672)+~P6(x2673)+P16(x2671,x2672)+~E(f5(f5(x2673,x2672),x2674),x2671)
% 1.05/1.15 [271]~P6(x2711)+~P6(x2713)+~P6(x2714)+~P6(x2712)+~P16(x2712,x2714)+P16(f5(f5(x2711,x2712),x2713),x2714)
% 1.05/1.15 [208]~P6(x2082)+~P6(x2081)+E(x2081,x2082)+E(a3,x2082)+E(a3,x2081)+~E(f55(x2081),f55(x2082))+~E(f4(x2081),f4(x2082))
% 1.05/1.15 [269]~E(x2691,x2693)+~P6(x2694)+~P6(x2692)+~P7(x2693)+~P7(x2691)+~P9(x2692,x2694)+P9(f6(x2691,x2692),f6(x2693,x2694))
% 1.05/1.15 [283]~P2(x2835)+~P6(x2835)+~P6(x2834)+~P6(x2833)+~P6(x2831)+~P7(x2832)+~E(f5(f5(x2831,f6(x2832,x2833)),f6(x2832,x2834)),x2835)
% 1.05/1.15 [276]~P1(x2765)+~P6(x2765)+~P6(x2764)+~P6(x2763)+~P7(x2762)+~P7(x2761)+E(x2761,x2762)+~E(f5(x2763,f6(x2761,f6(x2762,x2764))),x2765)
% 1.05/1.15 [284]~P18(x2846)+~P6(x2846)+~P6(x2845)+~P6(x2844)+~P6(x2843)+~P7(x2842)+~P7(x2841)+P11(x2841,x2842)+~E(f5(f5(x2843,f6(x2841,x2844)),f6(x2842,x2845)),x2846)
% 1.05/1.15 [285]~P4(x2856)+~P6(x2856)+~P6(x2855)+~P6(x2854)+~P6(x2853)+~P7(x2852)+~P7(x2851)+P14(x2851,x2852)+~E(f5(f5(x2853,f6(x2851,x2854)),f6(x2852,x2855)),x2856)
% 1.05/1.15 [286]P11(x2862,x2861)+~P19(x2866)+~P6(x2866)+~P6(x2865)+~P6(x2864)+~P6(x2863)+~P7(x2861)+~P7(x2862)+P11(x2861,x2862)+~E(f5(f5(x2863,f6(x2862,x2864)),f6(x2861,x2865)),x2866)
% 1.05/1.15 [287]P14(x2872,x2871)+~P5(x2876)+~P6(x2876)+~P6(x2875)+~P6(x2874)+~P6(x2873)+~P7(x2871)+~P7(x2872)+P14(x2871,x2872)+~E(f5(f5(x2873,f6(x2872,x2874)),f6(x2871,x2875)),x2876)
% 1.05/1.15 [288]~P3(x2886)+~P6(x2886)+~P6(x2885)+~P6(x2883)+~P6(x2881)+~P7(x2884)+~P7(x2882)+~P11(x2884,x2882)+~P11(x2882,x2884)+~E(f5(f5(x2881,f6(x2882,x2883)),f6(x2884,x2885)),x2886)
% 1.05/1.15 %EqnAxiom
% 1.05/1.15 [1]E(x11,x11)
% 1.05/1.15 [2]E(x22,x21)+~E(x21,x22)
% 1.05/1.15 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.05/1.15 [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 1.05/1.15 [5]~E(x51,x52)+E(f14(x51),f14(x52))
% 1.05/1.15 [6]~E(x61,x62)+E(f15(x61),f15(x62))
% 1.05/1.15 [7]~E(x71,x72)+E(f16(x71),f16(x72))
% 1.05/1.15 [8]~E(x81,x82)+E(f17(x81),f17(x82))
% 1.05/1.15 [9]~E(x91,x92)+E(f18(x91),f18(x92))
% 1.05/1.15 [10]~E(x101,x102)+E(f19(x101),f19(x102))
% 1.05/1.15 [11]~E(x111,x112)+E(f20(x111),f20(x112))
% 1.05/1.15 [12]~E(x121,x122)+E(f21(x121),f21(x122))
% 1.05/1.15 [13]~E(x131,x132)+E(f22(x131),f22(x132))
% 1.05/1.15 [14]~E(x141,x142)+E(f23(x141),f23(x142))
% 1.05/1.15 [15]~E(x151,x152)+E(f24(x151),f24(x152))
% 1.05/1.15 [16]~E(x161,x162)+E(f25(x161),f25(x162))
% 1.05/1.15 [17]~E(x171,x172)+E(f26(x171),f26(x172))
% 1.05/1.15 [18]~E(x181,x182)+E(f27(x181),f27(x182))
% 1.05/1.15 [19]~E(x191,x192)+E(f28(x191),f28(x192))
% 1.05/1.15 [20]~E(x201,x202)+E(f29(x201),f29(x202))
% 1.05/1.15 [21]~E(x211,x212)+E(f30(x211),f30(x212))
% 1.05/1.15 [22]~E(x221,x222)+E(f31(x221),f31(x222))
% 1.05/1.15 [23]~E(x231,x232)+E(f32(x231),f32(x232))
% 1.05/1.15 [24]~E(x241,x242)+E(f33(x241),f33(x242))
% 1.05/1.15 [25]~E(x251,x252)+E(f54(x251),f54(x252))
% 1.05/1.15 [26]~E(x261,x262)+E(f52(x261),f52(x262))
% 1.05/1.15 [27]~E(x271,x272)+E(f53(x271),f53(x272))
% 1.05/1.15 [28]~E(x281,x282)+E(f51(x281),f51(x282))
% 1.05/1.15 [29]~E(x291,x292)+E(f49(x291),f49(x292))
% 1.05/1.15 [30]~E(x301,x302)+E(f50(x301),f50(x302))
% 1.05/1.15 [31]~E(x311,x312)+E(f47(x311),f47(x312))
% 1.05/1.15 [32]~E(x321,x322)+E(f48(x321),f48(x322))
% 1.05/1.15 [33]~E(x331,x332)+E(f45(x331),f45(x332))
% 1.05/1.15 [34]~E(x341,x342)+E(f46(x341),f46(x342))
% 1.05/1.15 [35]~E(x351,x352)+E(f43(x351),f43(x352))
% 1.05/1.15 [36]~E(x361,x362)+E(f44(x361),f44(x362))
% 1.05/1.15 [37]~E(x371,x372)+E(f34(x371),f34(x372))
% 1.05/1.15 [38]~E(x381,x382)+E(f35(x381),f35(x382))
% 1.05/1.15 [39]~E(x391,x392)+E(f36(x391),f36(x392))
% 1.05/1.15 [40]~E(x401,x402)+E(f39(x401,x403),f39(x402,x403))
% 1.05/1.15 [41]~E(x411,x412)+E(f39(x413,x411),f39(x413,x412))
% 1.05/1.15 [42]~E(x421,x422)+E(f40(x421,x423),f40(x422,x423))
% 1.05/1.15 [43]~E(x431,x432)+E(f40(x433,x431),f40(x433,x432))
% 1.05/1.15 [44]~E(x441,x442)+E(f41(x441,x443),f41(x442,x443))
% 1.05/1.15 [45]~E(x451,x452)+E(f41(x453,x451),f41(x453,x452))
% 1.05/1.15 [46]~E(x461,x462)+E(f42(x461,x463),f42(x462,x463))
% 1.05/1.15 [47]~E(x471,x472)+E(f42(x473,x471),f42(x473,x472))
% 1.05/1.15 [48]~E(x481,x482)+E(f37(x481,x483),f37(x482,x483))
% 1.05/1.15 [49]~E(x491,x492)+E(f37(x493,x491),f37(x493,x492))
% 1.05/1.15 [50]~E(x501,x502)+E(f38(x501,x503),f38(x502,x503))
% 1.05/1.15 [51]~E(x511,x512)+E(f38(x513,x511),f38(x513,x512))
% 1.05/1.15 [52]~E(x521,x522)+E(f55(x521),f55(x522))
% 1.05/1.15 [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 1.05/1.15 [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 1.05/1.15 [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 1.05/1.15 [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 1.05/1.15 [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 1.05/1.15 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 1.05/1.15 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 1.05/1.15 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 1.05/1.15 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 1.05/1.15 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 1.05/1.15 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 1.05/1.15 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 1.05/1.15 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 1.05/1.15 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 1.05/1.15 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 1.05/1.15 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 1.05/1.15 [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 1.05/1.15 [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 1.05/1.15 [71]P9(x712,x713)+~E(x711,x712)+~P9(x711,x713)
% 1.05/1.15 [72]P9(x723,x722)+~E(x721,x722)+~P9(x723,x721)
% 1.05/1.15 [73]P12(x732,x733)+~E(x731,x732)+~P12(x731,x733)
% 1.05/1.15 [74]P12(x743,x742)+~E(x741,x742)+~P12(x743,x741)
% 1.05/1.15 [75]P10(x752,x753)+~E(x751,x752)+~P10(x751,x753)
% 1.05/1.15 [76]P10(x763,x762)+~E(x761,x762)+~P10(x763,x761)
% 1.05/1.15 [77]P13(x772,x773)+~E(x771,x772)+~P13(x771,x773)
% 1.05/1.15 [78]P13(x783,x782)+~E(x781,x782)+~P13(x783,x781)
% 1.05/1.15 [79]P8(x792,x793)+~E(x791,x792)+~P8(x791,x793)
% 1.05/1.15 [80]P8(x803,x802)+~E(x801,x802)+~P8(x803,x801)
% 1.05/1.15 [81]P17(x812,x813)+~E(x811,x812)+~P17(x811,x813)
% 1.05/1.15 [82]P17(x823,x822)+~E(x821,x822)+~P17(x823,x821)
% 1.05/1.15 [83]P16(x832,x833)+~E(x831,x832)+~P16(x831,x833)
% 1.05/1.15 [84]P16(x843,x842)+~E(x841,x842)+~P16(x843,x841)
% 1.05/1.15 [85]~P15(x851)+P15(x852)+~E(x851,x852)
% 1.05/1.15
% 1.05/1.15 %-------------------------------------------
% 1.05/1.16 cnf(289,plain,
% 1.05/1.16 (E(a2,a1)),
% 1.05/1.16 inference(scs_inference,[],[86,2])).
% 1.05/1.16 cnf(290,plain,
% 1.05/1.16 (~P14(a9,a9)),
% 1.05/1.16 inference(scs_inference,[],[86,100,2,179])).
% 1.05/1.16 cnf(293,plain,
% 1.05/1.16 (~E(a7,a3)),
% 1.05/1.16 inference(scs_inference,[],[86,87,97,138,95,100,2,179,79,200])).
% 1.05/1.16 cnf(297,plain,
% 1.05/1.16 (~P15(a2)),
% 1.05/1.16 inference(scs_inference,[],[86,87,97,138,95,100,2,179,79,200,173,170])).
% 1.05/1.16 cnf(298,plain,
% 1.05/1.16 (P11(a9,a9)),
% 1.05/1.16 inference(scs_inference,[],[86,87,97,138,95,100,2,179,79,200,173,170,166])).
% 1.05/1.16 cnf(300,plain,
% 1.05/1.16 (P9(a2,a2)),
% 1.05/1.16 inference(scs_inference,[],[86,87,96,97,138,95,100,2,179,79,200,173,170,166,165])).
% 1.05/1.16 cnf(302,plain,
% 1.05/1.16 (P17(a2,a2)),
% 1.05/1.16 inference(scs_inference,[],[86,87,96,97,138,95,100,2,179,79,200,173,170,166,165,164])).
% 1.05/1.16 cnf(304,plain,
% 1.05/1.16 (P16(a2,a2)),
% 1.05/1.16 inference(scs_inference,[],[86,87,96,97,138,95,100,2,179,79,200,173,170,166,165,164,163])).
% 1.05/1.16 cnf(308,plain,
% 1.05/1.16 (P7(a12)),
% 1.05/1.16 inference(scs_inference,[],[86,87,96,97,138,95,100,2,179,79,200,173,170,166,165,164,163,162,161])).
% 1.05/1.16 cnf(309,plain,
% 1.05/1.16 (P6(a11)),
% 1.05/1.16 inference(scs_inference,[],[86,87,96,97,138,95,100,2,179,79,200,173,170,166,165,164,163,162,161,160])).
% 1.05/1.16 cnf(316,plain,
% 1.05/1.16 (E(f6(a12,a3),a1)),
% 1.05/1.16 inference(scs_inference,[],[86,87,96,97,138,95,100,2,179,79,200,173,170,166,165,164,163,162,161,160,157,156,155,177])).
% 1.05/1.16 cnf(317,plain,
% 1.05/1.16 (E(f5(a11,f6(a12,a3)),a8)),
% 1.05/1.16 inference(scs_inference,[],[86,87,96,97,138,95,100,2,179,79,200,173,170,166,165,164,163,162,161,160,157,156,155,177,212])).
% 1.05/1.16 cnf(336,plain,
% 1.05/1.16 (E(f5(x3361,a1),f5(x3361,a2))),
% 1.05/1.16 inference(scs_inference,[],[86,87,96,97,138,95,100,2,179,79,200,173,170,166,165,164,163,162,161,160,157,156,155,177,212,190,189,188,187,186,185,184,159,158,57])).
% 1.05/1.16 cnf(337,plain,
% 1.05/1.16 (E(f5(a1,x3371),f5(a2,x3371))),
% 1.05/1.16 inference(scs_inference,[],[86,87,96,97,138,95,100,2,179,79,200,173,170,166,165,164,163,162,161,160,157,156,155,177,212,190,189,188,187,186,185,184,159,158,57,56])).
% 1.05/1.16 cnf(484,plain,
% 1.05/1.16 (~P15(a1)),
% 1.05/1.16 inference(scs_inference,[],[86,99,90,123,146,145,95,100,96,290,302,304,297,285,193,235,199,264,263,256,271,2,85])).
% 1.05/1.16 cnf(487,plain,
% 1.05/1.16 (P17(a1,a2)),
% 1.05/1.16 inference(scs_inference,[],[86,99,90,123,146,145,95,100,96,290,302,304,289,297,285,193,235,199,264,263,256,271,2,85,84,83,81])).
% 1.05/1.16 cnf(507,plain,
% 1.05/1.16 (E(f5(f41(a2,a2),a2),a2)),
% 1.05/1.16 inference(scs_inference,[],[86,99,90,98,123,146,145,97,101,95,100,96,290,302,304,289,293,297,300,285,193,235,199,264,263,256,271,2,85,84,83,81,72,207,206,205,204,194,216,200,181,180,245])).
% 1.05/1.16 cnf(509,plain,
% 1.05/1.16 (E(f5(a2,f42(a2,a2)),a2)),
% 1.05/1.16 inference(scs_inference,[],[86,99,90,98,123,146,145,97,101,95,100,96,290,302,304,289,293,297,300,285,193,235,199,264,263,256,271,2,85,84,83,81,72,207,206,205,204,194,216,200,181,180,245,244])).
% 1.05/1.16 cnf(522,plain,
% 1.05/1.16 (P9(a1,a2)),
% 1.05/1.16 inference(scs_inference,[],[86,99,90,98,123,88,89,146,87,145,97,101,95,100,96,290,302,304,289,293,297,300,285,193,235,199,264,263,256,271,2,85,84,83,81,72,207,206,205,204,194,216,200,181,180,245,244,274,257,283,276,82,80,79,71])).
% 1.05/1.16 cnf(531,plain,
% 1.05/1.16 (P16(a1,a1)),
% 1.05/1.16 inference(scs_inference,[],[86,99,90,98,123,88,89,146,87,145,97,101,95,100,96,290,336,337,302,304,289,293,297,298,300,285,193,235,199,264,263,256,271,2,85,84,83,81,72,207,206,205,204,194,216,200,181,180,245,244,274,257,283,276,82,80,79,71,3,68,249,248,247])).
% 1.05/1.16 cnf(569,plain,
% 1.05/1.16 (E(f5(f41(a1,a2),a2),a1)),
% 1.05/1.16 inference(scs_inference,[],[102,141,142,124,92,146,98,95,100,96,507,509,487,531,290,229,228,287,263,271,199,264,245])).
% 1.05/1.16 cnf(571,plain,
% 1.05/1.16 (E(f5(a2,f42(a1,a2)),a1)),
% 1.05/1.16 inference(scs_inference,[],[102,141,142,124,92,146,98,95,100,96,507,509,487,522,531,290,229,228,287,263,271,199,264,245,244])).
% 1.05/1.16 cnf(628,plain,
% 1.05/1.16 ($false),
% 1.05/1.16 inference(scs_inference,[],[104,141,142,92,98,99,95,100,96,569,571,484,316,487,522,309,317,308,290,229,287,228,266,257,256,199]),
% 1.05/1.16 ['proof']).
% 1.05/1.16 % SZS output end Proof
% 1.05/1.16 % Total time :0.490000s
%------------------------------------------------------------------------------