%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC333-1 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:15:04 EDT 2024
% Result : Unsatisfiable 0.57s 0.79s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC333-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 20 04:39:24 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.52/0.60 start to proof:theBenchmark
% 0.57/0.78 %-------------------------------------------
% 0.57/0.78 % File :CSE---1.7
% 0.57/0.78 % Problem :theBenchmark
% 0.57/0.78 % Transform :cnf
% 0.57/0.78 % Format :tptp:raw
% 0.57/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.78
% 0.57/0.78 % Result :Theorem 0.090000s
% 0.57/0.78 % Output :CNFRefutation 0.090000s
% 0.57/0.78 %-------------------------------------------
% 0.57/0.78 %--------------------------------------------------------------------------
% 0.57/0.78 % File : SWC333-1 : TPTP v8.2.0. Released v2.4.0.
% 0.57/0.78 % Domain : Software Creation
% 0.57/0.78 % Problem : cond_run_ord_max1_x_run_ord_max1
% 0.57/0.78 % Version : [Wei00] axioms.
% 0.57/0.78 % English : Find components in a software library that match a given target
% 0.57/0.78 % specification given in first-order logic. The components are
% 0.57/0.78 % specified in first-order logic as well. The problem represents
% 0.57/0.78 % a test of one library module specification against a target
% 0.57/0.78 % specification.
% 0.57/0.78
% 0.57/0.78 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.57/0.78 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.57/0.78 % Source : [TPTP]
% 0.57/0.78 % Names :
% 0.57/0.78
% 0.57/0.78 % Status : Unsatisfiable
% 0.57/0.78 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.09 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.36 v2.7.0, 0.42 v2.6.0, 0.33 v2.5.0, 0.22 v2.4.0
% 0.57/0.78 % Syntax : Number of clauses : 199 ( 62 unt; 33 nHn; 156 RR)
% 0.57/0.78 % Number of literals : 632 ( 100 equ; 413 neg)
% 0.57/0.78 % Maximal clause size : 10 ( 3 avg)
% 0.57/0.78 % Maximal term depth : 5 ( 1 avg)
% 0.57/0.78 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.57/0.78 % Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% 0.57/0.78 % Number of variables : 327 ( 49 sgn)
% 0.57/0.78 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.57/0.78
% 0.57/0.78 % Comments : Created by CNF conversion from SWC333+1
% 0.57/0.78 %--------------------------------------------------------------------------
% 0.57/0.78 %----Include list specification axioms
% 0.57/0.78 include('Axioms/SWC001-0.ax').
% 0.57/0.78 %--------------------------------------------------------------------------
% 0.57/0.78 cnf(co1_1,negated_conjecture,
% 0.57/0.78 ssList(sk1) ).
% 0.57/0.78
% 0.57/0.78 cnf(co1_2,negated_conjecture,
% 0.57/0.78 ssList(sk2) ).
% 0.57/0.78
% 0.57/0.78 cnf(co1_3,negated_conjecture,
% 0.57/0.78 ssList(sk3) ).
% 0.57/0.78
% 0.57/0.78 cnf(co1_4,negated_conjecture,
% 0.57/0.78 ssList(sk4) ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_5,negated_conjecture,
% 0.57/0.79 sk2 = sk4 ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_6,negated_conjecture,
% 0.57/0.79 sk1 = sk3 ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_7,negated_conjecture,
% 0.57/0.79 segmentP(sk4,sk3) ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_8,negated_conjecture,
% 0.57/0.79 totalorderedP(sk3) ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_9,negated_conjecture,
% 0.57/0.79 ( ~ ssList(A)
% 0.57/0.79 | ~ neq(sk3,A)
% 0.57/0.79 | ~ segmentP(sk4,A)
% 0.57/0.79 | ~ segmentP(A,sk3)
% 0.57/0.79 | ~ totalorderedP(A) ) ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_10,negated_conjecture,
% 0.57/0.79 ( ssList(sk5)
% 0.57/0.79 | ~ segmentP(sk2,sk1)
% 0.57/0.79 | ~ totalorderedP(sk1) ) ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_11,negated_conjecture,
% 0.57/0.79 ( neq(sk1,sk5)
% 0.57/0.79 | ~ segmentP(sk2,sk1)
% 0.57/0.79 | ~ totalorderedP(sk1) ) ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_12,negated_conjecture,
% 0.57/0.79 ( segmentP(sk2,sk5)
% 0.57/0.79 | ~ segmentP(sk2,sk1)
% 0.57/0.79 | ~ totalorderedP(sk1) ) ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_13,negated_conjecture,
% 0.57/0.79 ( segmentP(sk5,sk1)
% 0.57/0.79 | ~ segmentP(sk2,sk1)
% 0.57/0.79 | ~ totalorderedP(sk1) ) ).
% 0.57/0.79
% 0.57/0.79 cnf(co1_14,negated_conjecture,
% 0.57/0.79 ( totalorderedP(sk5)
% 0.57/0.79 | ~ segmentP(sk2,sk1)
% 0.57/0.79 | ~ totalorderedP(sk1) ) ).
% 0.57/0.79
% 0.57/0.79 %--------------------------------------------------------------------------
% 0.57/0.79 %-------------------------------------------
% 0.57/0.79 % Proof found
% 0.57/0.79 % SZS status Theorem for theBenchmark
% 0.57/0.79 % SZS output start Proof
% 0.57/0.79 %ClaNum:284(EqnAxiom:85)
% 0.57/0.79 %VarNum:896(SingletonVarNum:323)
% 0.57/0.79 %MaxLitNum:10
% 0.57/0.79 %MaxfuncDepth:4
% 0.57/0.79 %SharedTerms:35
% 0.57/0.79 %goalClause: 86 87 92 97 98 99 100 139 167 168 178 179 180 239
% 0.57/0.79 %singleGoalClaCount:8
% 0.57/0.79 [86]E(a1,a2)
% 0.57/0.79 [87]E(a7,a8)
% 0.57/0.79 [88]P1(a3)
% 0.57/0.79 [89]P2(a3)
% 0.57/0.79 [90]P4(a3)
% 0.57/0.79 [91]P18(a3)
% 0.57/0.79 [92]P18(a1)
% 0.57/0.79 [93]P5(a3)
% 0.57/0.79 [94]P19(a3)
% 0.57/0.79 [95]P3(a3)
% 0.57/0.79 [96]P6(a3)
% 0.57/0.79 [97]P6(a2)
% 0.57/0.79 [98]P6(a7)
% 0.57/0.79 [99]P6(a1)
% 0.57/0.79 [100]P6(a8)
% 0.57/0.79 [101]P7(a9)
% 0.57/0.79 [102]P7(a10)
% 0.57/0.79 [139]P8(a8,a1)
% 0.57/0.79 [146]~E(a10,a9)
% 0.57/0.79 [147]~P17(a3)
% 0.57/0.79 [103]P6(f12(x1031))
% 0.57/0.79 [104]P6(f13(x1041))
% 0.57/0.79 [105]P6(f14(x1051))
% 0.57/0.79 [106]P6(f15(x1061))
% 0.57/0.79 [107]P6(f16(x1071))
% 0.57/0.79 [108]P6(f17(x1081))
% 0.57/0.79 [109]P6(f18(x1091))
% 0.57/0.79 [110]P6(f19(x1101))
% 0.57/0.79 [111]P6(f20(x1111))
% 0.57/0.79 [112]P6(f21(x1121))
% 0.57/0.79 [113]P6(f22(x1131))
% 0.57/0.79 [114]P6(f23(x1141))
% 0.57/0.79 [115]P6(f24(x1151))
% 0.57/0.79 [116]P6(f25(x1161))
% 0.57/0.79 [117]P6(f26(x1171))
% 0.57/0.79 [118]P6(f27(x1181))
% 0.57/0.79 [119]P6(f28(x1191))
% 0.57/0.79 [120]P6(f29(x1201))
% 0.57/0.79 [121]P6(f30(x1211))
% 0.57/0.79 [122]P6(f31(x1221))
% 0.57/0.79 [123]P6(f32(x1231))
% 0.57/0.79 [124]P7(f53(x1241))
% 0.57/0.79 [125]P7(f51(x1251))
% 0.57/0.79 [126]P7(f52(x1261))
% 0.57/0.79 [127]P7(f50(x1271))
% 0.57/0.79 [128]P7(f48(x1281))
% 0.57/0.79 [129]P7(f49(x1291))
% 0.57/0.79 [130]P7(f46(x1301))
% 0.57/0.79 [131]P7(f47(x1311))
% 0.57/0.79 [132]P7(f44(x1321))
% 0.57/0.79 [133]P7(f45(x1331))
% 0.57/0.79 [134]P7(f42(x1341))
% 0.57/0.79 [135]P7(f43(x1351))
% 0.57/0.79 [136]P7(f33(x1361))
% 0.57/0.79 [137]P7(f34(x1371))
% 0.57/0.79 [138]P7(f35(x1381))
% 0.57/0.79 [140]P6(f38(x1401,x1402))
% 0.57/0.79 [141]P6(f39(x1411,x1412))
% 0.57/0.79 [142]P6(f40(x1421,x1422))
% 0.57/0.79 [143]P6(f41(x1431,x1432))
% 0.57/0.79 [144]P6(f36(x1441,x1442))
% 0.57/0.79 [145]P6(f37(x1451,x1452))
% 0.57/0.79 [153]~P6(x1531)+P8(x1531,a3)
% 0.57/0.79 [154]~P6(x1541)+P9(x1541,a3)
% 0.57/0.79 [155]~P6(x1551)+P10(x1551,a3)
% 0.57/0.79 [158]~P7(x1581)+P11(x1581,x1581)
% 0.57/0.79 [159]~P6(x1591)+P8(x1591,x1591)
% 0.57/0.79 [160]~P6(x1601)+P9(x1601,x1601)
% 0.57/0.79 [161]~P6(x1611)+P10(x1611,x1611)
% 0.57/0.79 [162]~P7(x1621)+P12(x1621,x1621)
% 0.57/0.79 [169]~P7(x1691)+~P14(a3,x1691)
% 0.57/0.79 [173]~P15(x1731,x1731)+~P7(x1731)
% 0.57/0.79 [156]~P6(x1561)+E(f5(x1561,a3),x1561)
% 0.57/0.79 [157]~P6(x1571)+E(f5(a3,x1571),x1571)
% 0.57/0.79 [181]~P7(x1811)+P1(f6(x1811,a3))
% 0.57/0.79 [182]~P7(x1821)+P2(f6(x1821,a3))
% 0.57/0.79 [183]~P7(x1831)+P4(f6(x1831,a3))
% 0.57/0.79 [184]~P7(x1841)+P18(f6(x1841,a3))
% 0.57/0.79 [185]~P7(x1851)+P5(f6(x1851,a3))
% 0.57/0.79 [186]~P7(x1861)+P19(f6(x1861,a3))
% 0.57/0.79 [187]~P7(x1871)+P3(f6(x1871,a3))
% 0.57/0.79 [167]P18(a11)+~P18(a2)+~P8(a7,a2)
% 0.57/0.79 [168]~P8(a7,a2)+P6(a11)+~P18(a2)
% 0.57/0.79 [178]~P8(a7,a2)+P8(a7,a11)+~P18(a2)
% 0.57/0.79 [179]~P8(a7,a2)+P8(a11,a2)+~P18(a2)
% 0.57/0.79 [180]~P8(a7,a2)+P16(a2,a11)+~P18(a2)
% 0.57/0.79 [163]~P6(x1631)+~E(a3,x1631)+P8(a3,x1631)
% 0.57/0.79 [164]~P6(x1641)+~E(a3,x1641)+P9(a3,x1641)
% 0.57/0.79 [165]~P6(x1651)+~E(a3,x1651)+P10(a3,x1651)
% 0.57/0.79 [170]~P6(x1701)+~P8(a3,x1701)+E(a3,x1701)
% 0.57/0.79 [171]~P6(x1711)+~P9(a3,x1711)+E(a3,x1711)
% 0.57/0.79 [172]~P6(x1721)+~P10(a3,x1721)+E(a3,x1721)
% 0.57/0.79 [150]~P6(x1501)+E(a3,x1501)+P6(f54(x1501))
% 0.57/0.79 [152]~P6(x1521)+E(a3,x1521)+P7(f4(x1521))
% 0.57/0.79 [166]~P6(x1661)+P1(x1661)+~E(f52(x1661),f51(x1661))
% 0.57/0.79 [192]~P6(x1921)+P3(x1921)+P12(f33(x1921),f34(x1921))
% 0.57/0.79 [193]~P6(x1931)+P3(x1931)+P12(f34(x1931),f33(x1931))
% 0.57/0.79 [213]~P6(x2131)+P4(x2131)+~P15(f49(x2131),f48(x2131))
% 0.57/0.79 [214]~P6(x2141)+P18(x2141)+~P12(f47(x2141),f46(x2141))
% 0.57/0.79 [215]~P6(x2151)+P5(x2151)+~P15(f44(x2151),f45(x2151))
% 0.57/0.79 [216]~P6(x2161)+P5(x2161)+~P15(f45(x2161),f44(x2161))
% 0.57/0.79 [217]~P6(x2171)+P19(x2171)+~P12(f42(x2171),f43(x2171))
% 0.57/0.79 [218]~P6(x2181)+P19(x2181)+~P12(f43(x2181),f42(x2181))
% 0.57/0.79 [177]~P6(x1771)+~P17(x1771)+E(f6(f35(x1771),a3),x1771)
% 0.57/0.79 [188]~P6(x1881)+E(a3,x1881)+E(f6(f53(x1881),f12(x1881)),x1881)
% 0.57/0.79 [189]~P6(x1891)+E(a3,x1891)+E(f6(f4(x1891),f54(x1891)),x1891)
% 0.57/0.79 [273]P2(x2731)+~P6(x2731)+E(f5(f5(f17(x2731),f6(f50(x2731),f16(x2731))),f6(f50(x2731),f15(x2731))),x2731)
% 0.57/0.79 [274]P4(x2741)+~P6(x2741)+E(f5(f5(f20(x2741),f6(f49(x2741),f19(x2741))),f6(f48(x2741),f18(x2741))),x2741)
% 0.57/0.79 [275]P18(x2751)+~P6(x2751)+E(f5(f5(f23(x2751),f6(f47(x2751),f22(x2751))),f6(f46(x2751),f21(x2751))),x2751)
% 0.57/0.79 [276]P5(x2761)+~P6(x2761)+E(f5(f5(f26(x2761),f6(f45(x2761),f25(x2761))),f6(f44(x2761),f24(x2761))),x2761)
% 0.57/0.79 [277]P19(x2771)+~P6(x2771)+E(f5(f5(f29(x2771),f6(f43(x2771),f28(x2771))),f6(f42(x2771),f27(x2771))),x2771)
% 0.57/0.79 [278]P3(x2781)+~P6(x2781)+E(f5(f5(f32(x2781),f6(f34(x2781),f31(x2781))),f6(f33(x2781),f30(x2781))),x2781)
% 0.57/0.79 [271]P1(x2711)+~P6(x2711)+E(f5(f14(x2711),f6(f52(x2711),f6(f51(x2711),f13(x2711)))),x2711)
% 0.57/0.79 [148]~P6(x1481)+P2(x1481)+P7(x1482)
% 0.57/0.79 [190]~P6(x1902)+~P7(x1901)+~E(f6(x1901,x1902),a3)
% 0.57/0.79 [191]~P6(x1912)+~P7(x1911)+~E(f6(x1911,x1912),x1912)
% 0.57/0.79 [200]~P6(x2002)+~P7(x2001)+P6(f6(x2001,x2002))
% 0.57/0.79 [201]~P6(x2011)+~P6(x2012)+P6(f5(x2011,x2012))
% 0.57/0.79 [202]~P6(x2022)+~P7(x2021)+E(f54(f6(x2021,x2022)),x2022)
% 0.57/0.79 [203]~P6(x2032)+~P7(x2031)+E(f4(f6(x2031,x2032)),x2031)
% 0.57/0.79 [230]~P6(x2302)+~P7(x2301)+E(f5(f6(x2301,a3),x2302),f6(x2301,x2302))
% 0.57/0.79 [174]P16(x1742,x1741)+~P6(x1742)+~P6(x1741)+E(x1741,x1742)
% 0.57/0.79 [175]P16(x1752,x1751)+~P7(x1752)+~P7(x1751)+E(x1751,x1752)
% 0.57/0.79 [197]~P6(x1972)+~P6(x1971)+~P16(x1971,x1972)+~E(x1971,x1972)
% 0.57/0.79 [198]~P7(x1982)+~P7(x1981)+~P15(x1981,x1982)+~E(x1981,x1982)
% 0.57/0.79 [199]~P7(x1992)+~P7(x1991)+~P16(x1991,x1992)+~E(x1991,x1992)
% 0.57/0.79 [208]~P7(x2081)+~P7(x2082)+~P12(x2082,x2081)+P11(x2081,x2082)
% 0.57/0.79 [209]~P7(x2091)+~P7(x2092)+~P11(x2092,x2091)+P12(x2091,x2092)
% 0.57/0.79 [210]~P7(x2102)+~P7(x2101)+~P15(x2101,x2102)+P12(x2101,x2102)
% 0.57/0.79 [211]~P7(x2111)+~P7(x2112)+~P13(x2112,x2111)+P15(x2111,x2112)
% 0.57/0.79 [212]~P7(x2121)+~P7(x2122)+~P15(x2122,x2121)+P13(x2121,x2122)
% 0.57/0.79 [221]~P15(x2211,x2212)+~P15(x2212,x2211)+~P7(x2211)+~P7(x2212)
% 0.57/0.79 [222]~P13(x2221,x2222)+~P13(x2222,x2221)+~P7(x2221)+~P7(x2222)
% 0.57/0.79 [194]~P6(x1941)+~P6(x1942)+E(a3,x1941)+~E(f5(x1942,x1941),a3)
% 0.57/0.79 [195]~P6(x1952)+~P6(x1951)+E(a3,x1951)+~E(f5(x1951,x1952),a3)
% 0.57/0.79 [196]~P6(x1961)+~P7(x1962)+P17(x1961)+~E(f6(x1962,a3),x1961)
% 0.57/0.79 [205]~P6(x2052)+~P7(x2051)+~E(a3,x2052)+P4(f6(x2051,x2052))
% 0.57/0.79 [206]~P6(x2062)+~P7(x2061)+~E(a3,x2062)+P18(f6(x2061,x2062))
% 0.57/0.79 [207]~P6(x2071)+~P6(x2072)+E(a3,x2071)+E(f4(f5(x2071,x2072)),f4(x2071))
% 0.57/0.79 [232]~P6(x2321)+~P6(x2322)+E(a3,x2321)+E(f54(f5(x2321,x2322)),f5(f54(x2321),x2322))
% 0.57/0.79 [240]~P6(x2401)+~P6(x2402)+~P10(x2402,x2401)+E(f5(x2401,f41(x2402,x2401)),x2402)
% 0.57/0.79 [241]~P6(x2412)+~P6(x2411)+~P9(x2411,x2412)+E(f5(f40(x2411,x2412),x2412),x2411)
% 0.57/0.79 [270]~P6(x2702)+~P6(x2701)+~P8(x2701,x2702)+E(f5(f5(f39(x2701,x2702),x2702),f38(x2702,x2701)),x2701)
% 0.57/0.79 [269]~P6(x2691)+~P7(x2692)+~P14(x2691,x2692)+E(f5(f37(x2691,x2692),f6(x2692,f36(x2692,x2691))),x2691)
% 0.57/0.79 [259]~P6(x2593)+~P6(x2592)+~P7(x2591)+E(f6(x2591,f5(x2592,x2593)),f5(f6(x2591,x2592),x2593))
% 0.57/0.79 [260]~P6(x2601)+~P6(x2602)+~P6(x2603)+E(f5(f5(x2601,x2602),x2603),f5(x2601,f5(x2602,x2603)))
% 0.57/0.79 [239]~P6(x2391)+~P18(x2391)+~P8(x2391,a1)+~P8(a8,x2391)+~P16(a1,x2391)
% 0.57/0.79 [220]P15(x2201,x2202)+~P7(x2202)+~P7(x2201)+~P12(x2201,x2202)+E(x2201,x2202)
% 0.57/0.79 [225]~P6(x2252)+~P6(x2251)+~P8(x2252,x2251)+~P8(x2251,x2252)+E(x2251,x2252)
% 0.57/0.79 [226]~P6(x2262)+~P6(x2261)+~P9(x2262,x2261)+~P9(x2261,x2262)+E(x2261,x2262)
% 0.57/0.79 [227]~P6(x2272)+~P6(x2271)+~P10(x2272,x2271)+~P10(x2271,x2272)+E(x2271,x2272)
% 0.57/0.79 [228]~P7(x2282)+~P7(x2281)+~P11(x2282,x2281)+~P11(x2281,x2282)+E(x2281,x2282)
% 0.57/0.79 [229]~P7(x2292)+~P7(x2291)+~P12(x2292,x2291)+~P12(x2291,x2292)+E(x2291,x2292)
% 0.57/0.79 [176]~P6(x1762)+~P6(x1761)+~E(a3,x1762)+~E(a3,x1761)+E(f5(x1761,x1762),a3)
% 0.57/0.79 [235]P4(x2351)+~P6(x2351)+~P7(x2352)+E(a3,x2351)+~P4(f6(x2352,x2351))
% 0.57/0.79 [236]P18(x2361)+~P6(x2361)+~P7(x2362)+E(a3,x2361)+~P18(f6(x2362,x2361))
% 0.57/0.79 [250]~P6(x2501)+~P7(x2502)+E(a3,x2501)+P12(x2502,f4(x2501))+~P18(f6(x2502,x2501))
% 0.57/0.79 [251]~P6(x2511)+~P7(x2512)+E(a3,x2511)+P15(x2512,f4(x2511))+~P4(f6(x2512,x2511))
% 0.57/0.79 [223]~P6(x2231)+~P6(x2232)+~P6(x2233)+P9(x2231,x2232)+~E(f5(x2233,x2232),x2231)
% 0.57/0.79 [224]~P6(x2241)+~P6(x2243)+~P6(x2242)+P10(x2241,x2242)+~E(f5(x2242,x2243),x2241)
% 0.57/0.79 [231]~E(x2313,x2311)+~P6(x2312)+~P7(x2311)+~P7(x2313)+P14(f6(x2311,x2312),x2313)
% 0.57/0.79 [233]~P6(x2332)+~P6(x2331)+~P6(x2333)+E(x2331,x2332)+~E(f5(x2333,x2331),f5(x2333,x2332))
% 0.57/0.79 [234]~P6(x2342)+~P6(x2343)+~P6(x2341)+E(x2341,x2342)+~E(f5(x2341,x2343),f5(x2342,x2343))
% 0.57/0.79 [252]~P6(x2521)+~P6(x2523)+~P6(x2522)+~P9(x2522,x2523)+P9(f5(x2521,x2522),x2523)
% 0.57/0.80 [253]~P6(x2532)+~P6(x2533)+~P6(x2531)+~P10(x2531,x2533)+P10(f5(x2531,x2532),x2533)
% 0.57/0.80 [254]~P6(x2542)+~P7(x2541)+~P7(x2543)+~P14(x2542,x2543)+P14(f6(x2541,x2542),x2543)
% 0.57/0.80 [255]~P6(x2551)+~P6(x2552)+~P7(x2553)+~P14(x2552,x2553)+P14(f5(x2551,x2552),x2553)
% 0.57/0.80 [256]~P6(x2562)+~P6(x2561)+~P7(x2563)+~P14(x2561,x2563)+P14(f5(x2561,x2562),x2563)
% 0.57/0.80 [257]~P4(x2571)+~P6(x2571)+~P7(x2572)+~P15(x2572,f4(x2571))+E(a3,x2571)+P4(f6(x2572,x2571))
% 0.57/0.80 [258]~P18(x2581)+~P6(x2581)+~P7(x2582)+~P12(x2582,f4(x2581))+E(a3,x2581)+P18(f6(x2582,x2581))
% 0.57/0.80 [242]~P7(x2422)+~P7(x2421)+~P11(x2423,x2422)+~P11(x2421,x2423)+P11(x2421,x2422)+~P7(x2423)
% 0.57/0.80 [243]~P6(x2432)+~P6(x2431)+~P8(x2433,x2432)+~P8(x2431,x2433)+P8(x2431,x2432)+~P6(x2433)
% 0.57/0.80 [244]~P6(x2442)+~P6(x2441)+~P9(x2443,x2442)+~P9(x2441,x2443)+P9(x2441,x2442)+~P6(x2443)
% 0.57/0.80 [245]~P6(x2452)+~P6(x2451)+~P10(x2453,x2452)+~P10(x2451,x2453)+P10(x2451,x2452)+~P6(x2453)
% 0.57/0.80 [246]~P7(x2462)+~P7(x2461)+~P12(x2463,x2462)+~P12(x2461,x2463)+P12(x2461,x2462)+~P7(x2463)
% 0.57/0.80 [247]~P7(x2472)+~P7(x2471)+~P12(x2471,x2473)+~P15(x2473,x2472)+P15(x2471,x2472)+~P7(x2473)
% 0.57/0.80 [248]~P7(x2482)+~P7(x2481)+~P15(x2483,x2482)+~P15(x2481,x2483)+P15(x2481,x2482)+~P7(x2483)
% 0.57/0.80 [249]~P7(x2492)+~P7(x2491)+~P13(x2493,x2492)+~P13(x2491,x2493)+P13(x2491,x2492)+~P7(x2493)
% 0.57/0.80 [261]~P6(x2613)+~P7(x2612)+~P7(x2611)+E(x2611,x2612)+P14(x2613,x2612)+~P14(f6(x2611,x2613),x2612)
% 0.57/0.80 [264]~P6(x2641)+~P6(x2643)+~P7(x2642)+P14(x2641,x2642)+P14(x2643,x2642)+~P14(f5(x2643,x2641),x2642)
% 0.57/0.80 [237]~P6(x2372)+~P6(x2371)+~P7(x2374)+~P7(x2373)+E(x2371,x2372)+~E(f6(x2373,x2371),f6(x2374,x2372))
% 0.57/0.80 [238]~P6(x2384)+~P6(x2383)+~P7(x2382)+~P7(x2381)+E(x2381,x2382)+~E(f6(x2381,x2383),f6(x2382,x2384))
% 0.57/0.80 [266]~P7(x2662)+~P7(x2661)+E(x2661,x2662)+~P6(x2663)+~P6(x2664)+~P10(f6(x2661,x2664),f6(x2662,x2663))
% 0.57/0.80 [268]~P6(x2682)+~P6(x2681)+P10(x2681,x2682)+~P7(x2683)+~P7(x2684)+~P10(f6(x2684,x2681),f6(x2683,x2682))
% 0.57/0.80 [262]~P6(x2621)+~P6(x2624)+~P6(x2623)+~P7(x2622)+P14(x2621,x2622)+~E(f5(x2623,f6(x2622,x2624)),x2621)
% 0.57/0.80 [263]~P6(x2631)+~P6(x2634)+~P6(x2632)+~P6(x2633)+P8(x2631,x2632)+~E(f5(f5(x2633,x2632),x2634),x2631)
% 0.57/0.80 [267]~P6(x2671)+~P6(x2673)+~P6(x2674)+~P6(x2672)+~P8(x2672,x2674)+P8(f5(f5(x2671,x2672),x2673),x2674)
% 0.57/0.80 [204]~P6(x2042)+~P6(x2041)+E(x2041,x2042)+E(a3,x2042)+E(a3,x2041)+~E(f54(x2041),f54(x2042))+~E(f4(x2041),f4(x2042))
% 0.57/0.80 [265]~E(x2651,x2653)+~P6(x2654)+~P6(x2652)+~P7(x2653)+~P7(x2651)+~P10(x2652,x2654)+P10(f6(x2651,x2652),f6(x2653,x2654))
% 0.57/0.80 [279]~P2(x2795)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P6(x2791)+~P7(x2792)+~E(f5(f5(x2791,f6(x2792,x2793)),f6(x2792,x2794)),x2795)
% 0.57/0.80 [272]~P1(x2725)+~P6(x2725)+~P6(x2724)+~P6(x2723)+~P7(x2722)+~P7(x2721)+E(x2721,x2722)+~E(f5(x2723,f6(x2721,f6(x2722,x2724))),x2725)
% 0.57/0.80 [280]~P18(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2802)+~P7(x2801)+P12(x2801,x2802)+~E(f5(f5(x2803,f6(x2801,x2804)),f6(x2802,x2805)),x2806)
% 0.57/0.80 [281]~P4(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2812)+~P7(x2811)+P15(x2811,x2812)+~E(f5(f5(x2813,f6(x2811,x2814)),f6(x2812,x2815)),x2816)
% 0.57/0.80 [282]P12(x2822,x2821)+~P19(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2821)+~P7(x2822)+P12(x2821,x2822)+~E(f5(f5(x2823,f6(x2822,x2824)),f6(x2821,x2825)),x2826)
% 0.57/0.80 [283]P15(x2832,x2831)+~P5(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2834)+~P6(x2833)+~P7(x2831)+~P7(x2832)+P15(x2831,x2832)+~E(f5(f5(x2833,f6(x2832,x2834)),f6(x2831,x2835)),x2836)
% 0.57/0.80 [284]~P3(x2846)+~P6(x2846)+~P6(x2845)+~P6(x2843)+~P6(x2841)+~P7(x2844)+~P7(x2842)+~P12(x2844,x2842)+~P12(x2842,x2844)+~E(f5(f5(x2841,f6(x2842,x2843)),f6(x2844,x2845)),x2846)
% 0.57/0.80 %EqnAxiom
% 0.57/0.80 [1]E(x11,x11)
% 0.57/0.80 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.80 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.80 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.57/0.80 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.57/0.80 [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 0.57/0.80 [7]~E(x71,x72)+E(f15(x71),f15(x72))
% 0.57/0.80 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 0.57/0.80 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 0.57/0.80 [10]~E(x101,x102)+E(f18(x101),f18(x102))
% 0.57/0.80 [11]~E(x111,x112)+E(f19(x111),f19(x112))
% 0.57/0.80 [12]~E(x121,x122)+E(f20(x121),f20(x122))
% 0.57/0.80 [13]~E(x131,x132)+E(f21(x131),f21(x132))
% 0.57/0.80 [14]~E(x141,x142)+E(f22(x141),f22(x142))
% 0.57/0.80 [15]~E(x151,x152)+E(f23(x151),f23(x152))
% 0.57/0.80 [16]~E(x161,x162)+E(f24(x161),f24(x162))
% 0.57/0.80 [17]~E(x171,x172)+E(f25(x171),f25(x172))
% 0.57/0.80 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 0.57/0.80 [19]~E(x191,x192)+E(f27(x191),f27(x192))
% 0.57/0.80 [20]~E(x201,x202)+E(f28(x201),f28(x202))
% 0.57/0.80 [21]~E(x211,x212)+E(f29(x211),f29(x212))
% 0.57/0.80 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 0.57/0.80 [23]~E(x231,x232)+E(f31(x231),f31(x232))
% 0.57/0.80 [24]~E(x241,x242)+E(f32(x241),f32(x242))
% 0.57/0.80 [25]~E(x251,x252)+E(f53(x251),f53(x252))
% 0.57/0.80 [26]~E(x261,x262)+E(f51(x261),f51(x262))
% 0.57/0.80 [27]~E(x271,x272)+E(f52(x271),f52(x272))
% 0.57/0.80 [28]~E(x281,x282)+E(f50(x281),f50(x282))
% 0.57/0.80 [29]~E(x291,x292)+E(f48(x291),f48(x292))
% 0.57/0.80 [30]~E(x301,x302)+E(f49(x301),f49(x302))
% 0.57/0.80 [31]~E(x311,x312)+E(f46(x311),f46(x312))
% 0.57/0.80 [32]~E(x321,x322)+E(f47(x321),f47(x322))
% 0.57/0.80 [33]~E(x331,x332)+E(f44(x331),f44(x332))
% 0.57/0.80 [34]~E(x341,x342)+E(f45(x341),f45(x342))
% 0.57/0.80 [35]~E(x351,x352)+E(f42(x351),f42(x352))
% 0.57/0.80 [36]~E(x361,x362)+E(f43(x361),f43(x362))
% 0.57/0.80 [37]~E(x371,x372)+E(f33(x371),f33(x372))
% 0.57/0.80 [38]~E(x381,x382)+E(f34(x381),f34(x382))
% 0.57/0.80 [39]~E(x391,x392)+E(f35(x391),f35(x392))
% 0.57/0.80 [40]~E(x401,x402)+E(f38(x401,x403),f38(x402,x403))
% 0.57/0.80 [41]~E(x411,x412)+E(f38(x413,x411),f38(x413,x412))
% 0.57/0.80 [42]~E(x421,x422)+E(f39(x421,x423),f39(x422,x423))
% 0.57/0.80 [43]~E(x431,x432)+E(f39(x433,x431),f39(x433,x432))
% 0.57/0.80 [44]~E(x441,x442)+E(f40(x441,x443),f40(x442,x443))
% 0.57/0.80 [45]~E(x451,x452)+E(f40(x453,x451),f40(x453,x452))
% 0.57/0.80 [46]~E(x461,x462)+E(f41(x461,x463),f41(x462,x463))
% 0.57/0.80 [47]~E(x471,x472)+E(f41(x473,x471),f41(x473,x472))
% 0.57/0.80 [48]~E(x481,x482)+E(f36(x481,x483),f36(x482,x483))
% 0.57/0.80 [49]~E(x491,x492)+E(f36(x493,x491),f36(x493,x492))
% 0.57/0.80 [50]~E(x501,x502)+E(f37(x501,x503),f37(x502,x503))
% 0.57/0.80 [51]~E(x511,x512)+E(f37(x513,x511),f37(x513,x512))
% 0.57/0.80 [52]~E(x521,x522)+E(f54(x521),f54(x522))
% 0.57/0.80 [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 0.57/0.80 [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 0.57/0.80 [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 0.57/0.80 [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 0.57/0.80 [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 0.57/0.80 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.57/0.80 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.57/0.80 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.57/0.80 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.57/0.80 [62]~P7(x621)+P7(x622)+~E(x621,x622)
% 0.57/0.80 [63]~P5(x631)+P5(x632)+~E(x631,x632)
% 0.57/0.80 [64]~P19(x641)+P19(x642)+~E(x641,x642)
% 0.57/0.80 [65]~P3(x651)+P3(x652)+~E(x651,x652)
% 0.57/0.80 [66]~P6(x661)+P6(x662)+~E(x661,x662)
% 0.57/0.80 [67]P15(x672,x673)+~E(x671,x672)+~P15(x671,x673)
% 0.57/0.80 [68]P15(x683,x682)+~E(x681,x682)+~P15(x683,x681)
% 0.57/0.80 [69]P10(x692,x693)+~E(x691,x692)+~P10(x691,x693)
% 0.57/0.80 [70]P10(x703,x702)+~E(x701,x702)+~P10(x703,x701)
% 0.57/0.80 [71]P8(x712,x713)+~E(x711,x712)+~P8(x711,x713)
% 0.57/0.80 [72]P8(x723,x722)+~E(x721,x722)+~P8(x723,x721)
% 0.57/0.80 [73]P12(x732,x733)+~E(x731,x732)+~P12(x731,x733)
% 0.57/0.80 [74]P12(x743,x742)+~E(x741,x742)+~P12(x743,x741)
% 0.57/0.80 [75]P13(x752,x753)+~E(x751,x752)+~P13(x751,x753)
% 0.57/0.80 [76]P13(x763,x762)+~E(x761,x762)+~P13(x763,x761)
% 0.57/0.80 [77]P14(x772,x773)+~E(x771,x772)+~P14(x771,x773)
% 0.57/0.80 [78]P14(x783,x782)+~E(x781,x782)+~P14(x783,x781)
% 0.57/0.80 [79]~P17(x791)+P17(x792)+~E(x791,x792)
% 0.57/0.80 [80]P11(x802,x803)+~E(x801,x802)+~P11(x801,x803)
% 0.57/0.80 [81]P11(x813,x812)+~E(x811,x812)+~P11(x813,x811)
% 0.57/0.80 [82]P9(x822,x823)+~E(x821,x822)+~P9(x821,x823)
% 0.57/0.80 [83]P9(x833,x832)+~E(x831,x832)+~P9(x833,x831)
% 0.57/0.80 [84]P16(x842,x843)+~E(x841,x842)+~P16(x841,x843)
% 0.57/0.80 [85]P16(x853,x852)+~E(x851,x852)+~P16(x853,x851)
% 0.57/0.80
% 0.57/0.80 %-------------------------------------------
% 0.57/0.80 cnf(289,plain,
% 0.57/0.80 (~P16(x2891,x2891)+~P6(x2891)+~P6(x2891)),
% 0.57/0.80 inference(equality_inference,[],[197])).
% 0.57/0.80 cnf(291,plain,
% 0.57/0.80 (~P16(x2911,x2911)+~P7(x2911)+~P7(x2911)),
% 0.57/0.80 inference(equality_inference,[],[199])).
% 0.57/0.80 cnf(311,plain,
% 0.57/0.80 (E(a2,a1)),
% 0.57/0.80 inference(scs_inference,[],[86,2])).
% 0.57/0.80 cnf(314,plain,
% 0.57/0.80 (~P16(a2,a2)),
% 0.57/0.80 inference(scs_inference,[],[86,97,101,2,173,289])).
% 0.57/0.80 cnf(318,plain,
% 0.57/0.80 (P18(a2)),
% 0.57/0.80 inference(scs_inference,[],[86,92,97,101,2,173,289,291,61])).
% 0.57/0.80 cnf(341,plain,
% 0.57/0.80 (~P8(a7,a2)+P18(a11)),
% 0.57/0.80 inference(scs_inference,[],[318,167])).
% 0.57/0.80 cnf(342,plain,
% 0.57/0.80 (~P8(a7,a2)+P6(a11)),
% 0.57/0.80 inference(scs_inference,[],[318,168])).
% 0.57/0.80 cnf(343,plain,
% 0.57/0.80 (~P8(a7,a2)+P8(a7,a11)),
% 0.57/0.80 inference(scs_inference,[],[318,178])).
% 0.57/0.80 cnf(344,plain,
% 0.57/0.80 (~P8(a7,a2)+P8(a11,a2)),
% 0.57/0.80 inference(scs_inference,[],[318,179])).
% 0.57/0.80 cnf(345,plain,
% 0.57/0.80 (~P8(a7,a2)+P16(a2,a11)),
% 0.57/0.80 inference(scs_inference,[],[318,180])).
% 0.57/0.80 cnf(355,plain,
% 0.57/0.80 (P8(a7,a2)),
% 0.57/0.80 inference(scs_inference,[],[86,87,98,139,102,173,2,291,71,289,79,72])).
% 0.57/0.80 cnf(373,plain,
% 0.57/0.80 (P18(a11)),
% 0.57/0.80 inference(scs_inference,[],[355,341])).
% 0.57/0.80 cnf(374,plain,
% 0.57/0.80 (P6(a11)),
% 0.57/0.80 inference(scs_inference,[],[355,342])).
% 0.57/0.80 cnf(375,plain,
% 0.57/0.80 (P8(a7,a11)),
% 0.57/0.80 inference(scs_inference,[],[355,343])).
% 0.57/0.80 cnf(376,plain,
% 0.57/0.80 (P8(a11,a2)),
% 0.57/0.80 inference(scs_inference,[],[355,344])).
% 0.57/0.80 cnf(377,plain,
% 0.57/0.80 (P16(a2,a11)),
% 0.57/0.80 inference(scs_inference,[],[355,345])).
% 0.57/0.80 cnf(403,plain,
% 0.57/0.80 ($false),
% 0.57/0.80 inference(scs_inference,[],[86,87,375,376,377,97,311,314,373,374,126,173,84,85,3,72,289,71,291,197,239]),
% 0.57/0.80 ['proof']).
% 0.57/0.80 % SZS output end Proof
% 0.57/0.80 % Total time :0.090000s
%------------------------------------------------------------------------------