TSTP Solution File: SWC269-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWC269-1 : 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 : n013.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 20:18:03 EDT 2023

% Result   : Unsatisfiable 0.56s 0.68s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC269-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 28 15:58:31 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.55  start to proof:theBenchmark
% 0.56/0.68  %-------------------------------------------
% 0.56/0.68  % File        :CSE---1.6
% 0.56/0.68  % Problem     :theBenchmark
% 0.56/0.68  % Transform   :cnf
% 0.56/0.68  % Format      :tptp:raw
% 0.56/0.68  % Command     :java -jar mcs_scs.jar %d %s
% 0.56/0.68  
% 0.56/0.68  % Result      :Theorem 0.010000s
% 0.56/0.68  % Output      :CNFRefutation 0.010000s
% 0.56/0.68  %-------------------------------------------
% 0.56/0.68  %--------------------------------------------------------------------------
% 0.56/0.68  % File     : SWC269-1 : TPTP v8.1.2. Released v2.4.0.
% 0.56/0.68  % Domain   : Software Creation
% 0.56/0.68  % Problem  : cond_pst_sorted1_x_run_ord_front1
% 0.56/0.68  % Version  : [Wei00] axioms.
% 0.56/0.68  % English  : Find components in a software library that match a given target
% 0.56/0.68  %            specification given in first-order logic. The components are
% 0.56/0.68  %            specified in first-order logic as well. The problem represents
% 0.56/0.68  %            a test of one library module specification against a target
% 0.56/0.68  %            specification.
% 0.56/0.68  
% 0.56/0.68  % Refs     : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.56/0.68  %          : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.56/0.68  % Source   : [TPTP]
% 0.56/0.68  % Names    :
% 0.56/0.68  
% 0.56/0.68  % Status   : Unsatisfiable
% 0.56/0.68  % 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, 0.15 v5.4.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.09 v4.0.0, 0.18 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.11 v2.5.0, 0.00 v2.4.0
% 0.56/0.68  % Syntax   : Number of clauses     :  195 (  63 unt;  33 nHn; 152 RR)
% 0.56/0.68  %            Number of literals    :  618 ( 100 equ; 404 neg)
% 0.56/0.68  %            Maximal clause size   :   10 (   3 avg)
% 0.56/0.68  %            Maximal term depth    :    5 (   1 avg)
% 0.56/0.68  %            Number of predicates  :   20 (  19 usr;   0 prp; 1-2 aty)
% 0.56/0.68  %            Number of functors    :   53 (  53 usr;   7 con; 0-2 aty)
% 0.56/0.68  %            Number of variables   :  327 (  49 sgn)
% 0.56/0.68  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 0.56/0.68  
% 0.56/0.68  % Comments : Created by CNF conversion from SWC269+1
% 0.56/0.68  %--------------------------------------------------------------------------
% 0.56/0.68  %----Include list specification axioms
% 0.56/0.68  include('Axioms/SWC001-0.ax').
% 0.56/0.68  %--------------------------------------------------------------------------
% 0.56/0.68  cnf(co1_1,negated_conjecture,
% 0.56/0.68      ssList(sk1) ).
% 0.56/0.68  
% 0.56/0.68  cnf(co1_2,negated_conjecture,
% 0.56/0.68      ssList(sk2) ).
% 0.56/0.68  
% 0.56/0.68  cnf(co1_3,negated_conjecture,
% 0.56/0.68      ssList(sk3) ).
% 0.56/0.68  
% 0.56/0.68  cnf(co1_4,negated_conjecture,
% 0.56/0.68      ssList(sk4) ).
% 0.56/0.68  
% 0.56/0.68  cnf(co1_5,negated_conjecture,
% 0.56/0.68      sk2 = sk4 ).
% 0.56/0.68  
% 0.56/0.68  cnf(co1_6,negated_conjecture,
% 0.56/0.68      sk1 = sk3 ).
% 0.56/0.68  
% 0.56/0.68  cnf(co1_7,negated_conjecture,
% 0.56/0.68      frontsegP(sk4,sk3) ).
% 0.56/0.68  
% 0.56/0.68  cnf(co1_8,negated_conjecture,
% 0.56/0.68      totalorderedP(sk3) ).
% 0.56/0.68  
% 0.56/0.68  cnf(co1_9,negated_conjecture,
% 0.56/0.68      ( ~ ssList(A)
% 0.56/0.68      | ~ neq(sk3,A)
% 0.56/0.68      | ~ frontsegP(sk4,A)
% 0.56/0.68      | ~ segmentP(A,sk3)
% 0.56/0.68      | ~ totalorderedP(A) ) ).
% 0.56/0.68  
% 0.56/0.68  cnf(co1_10,negated_conjecture,
% 0.56/0.68      ~ totalorderedP(sk1) ).
% 0.56/0.68  
% 0.56/0.68  %--------------------------------------------------------------------------
% 0.56/0.68  %-------------------------------------------
% 0.56/0.68  % Proof found
% 0.56/0.68  % SZS status Theorem for theBenchmark
% 0.56/0.68  % SZS output start Proof
% 0.56/0.69  %ClaNum:280(EqnAxiom:85)
% 0.56/0.69  %VarNum:896(SingletonVarNum:323)
% 0.56/0.69  %MaxLitNum:10
% 0.56/0.69  %MaxfuncDepth:4
% 0.56/0.69  %SharedTerms:28
% 0.56/0.69  %goalClause: 86 87 92 97 98 99 100 139 147 235
% 0.56/0.69  %singleGoalClaCount:9
% 0.56/0.69  [86]E(a1,a2)
% 0.56/0.69  [87]E(a7,a8)
% 0.56/0.69  [88]P1(a3)
% 0.56/0.69  [89]P2(a3)
% 0.56/0.69  [90]P4(a3)
% 0.56/0.69  [91]P18(a3)
% 0.56/0.69  [92]P18(a1)
% 0.56/0.69  [93]P5(a3)
% 0.56/0.69  [94]P19(a3)
% 0.56/0.69  [95]P3(a3)
% 0.56/0.69  [96]P6(a3)
% 0.56/0.69  [97]P6(a2)
% 0.56/0.69  [98]P6(a7)
% 0.56/0.69  [99]P6(a1)
% 0.56/0.69  [100]P6(a8)
% 0.56/0.69  [101]P7(a9)
% 0.56/0.69  [102]P7(a10)
% 0.56/0.69  [139]P8(a8,a1)
% 0.56/0.69  [146]~E(a10,a9)
% 0.56/0.69  [147]~P18(a2)
% 0.56/0.69  [148]~P9(a3)
% 0.56/0.69  [103]P6(f11(x1031))
% 0.56/0.69  [104]P6(f12(x1041))
% 0.56/0.69  [105]P6(f13(x1051))
% 0.56/0.69  [106]P6(f14(x1061))
% 0.56/0.69  [107]P6(f15(x1071))
% 0.56/0.69  [108]P6(f16(x1081))
% 0.56/0.69  [109]P6(f17(x1091))
% 0.56/0.69  [110]P6(f18(x1101))
% 0.56/0.69  [111]P6(f19(x1111))
% 0.56/0.69  [112]P6(f20(x1121))
% 0.56/0.69  [113]P6(f21(x1131))
% 0.56/0.69  [114]P6(f22(x1141))
% 0.56/0.69  [115]P6(f23(x1151))
% 0.56/0.69  [116]P6(f24(x1161))
% 0.56/0.69  [117]P6(f25(x1171))
% 0.56/0.69  [118]P6(f26(x1181))
% 0.56/0.69  [119]P6(f27(x1191))
% 0.56/0.69  [120]P6(f28(x1201))
% 0.56/0.69  [121]P6(f29(x1211))
% 0.56/0.69  [122]P6(f30(x1221))
% 0.56/0.69  [123]P6(f31(x1231))
% 0.56/0.69  [124]P7(f52(x1241))
% 0.56/0.69  [125]P7(f50(x1251))
% 0.56/0.69  [126]P7(f51(x1261))
% 0.56/0.69  [127]P7(f49(x1271))
% 0.56/0.69  [128]P7(f47(x1281))
% 0.56/0.69  [129]P7(f48(x1291))
% 0.56/0.69  [130]P7(f45(x1301))
% 0.56/0.69  [131]P7(f46(x1311))
% 0.56/0.69  [132]P7(f43(x1321))
% 0.56/0.69  [133]P7(f44(x1331))
% 0.56/0.69  [134]P7(f41(x1341))
% 0.56/0.69  [135]P7(f42(x1351))
% 0.56/0.69  [136]P7(f32(x1361))
% 0.56/0.69  [137]P7(f33(x1371))
% 0.56/0.69  [138]P7(f34(x1381))
% 0.56/0.69  [140]P6(f37(x1401,x1402))
% 0.56/0.69  [141]P6(f38(x1411,x1412))
% 0.56/0.69  [142]P6(f39(x1421,x1422))
% 0.56/0.69  [143]P6(f40(x1431,x1432))
% 0.56/0.69  [144]P6(f35(x1441,x1442))
% 0.56/0.69  [145]P6(f36(x1451,x1452))
% 0.56/0.69  [154]~P6(x1541)+P10(x1541,a3)
% 0.56/0.69  [155]~P6(x1551)+P11(x1551,a3)
% 0.56/0.69  [156]~P6(x1561)+P8(x1561,a3)
% 0.56/0.69  [159]~P7(x1591)+P12(x1591,x1591)
% 0.56/0.69  [160]~P6(x1601)+P10(x1601,x1601)
% 0.56/0.69  [161]~P6(x1611)+P11(x1611,x1611)
% 0.56/0.69  [162]~P6(x1621)+P8(x1621,x1621)
% 0.56/0.69  [163]~P7(x1631)+P13(x1631,x1631)
% 0.56/0.69  [168]~P7(x1681)+~P15(a3,x1681)
% 0.56/0.69  [172]~P16(x1721,x1721)+~P7(x1721)
% 0.56/0.69  [157]~P6(x1571)+E(f5(x1571,a3),x1571)
% 0.56/0.69  [158]~P6(x1581)+E(f5(a3,x1581),x1581)
% 0.56/0.69  [177]~P7(x1771)+P1(f6(x1771,a3))
% 0.56/0.69  [178]~P7(x1781)+P2(f6(x1781,a3))
% 0.56/0.69  [179]~P7(x1791)+P4(f6(x1791,a3))
% 0.56/0.69  [180]~P7(x1801)+P18(f6(x1801,a3))
% 0.56/0.69  [181]~P7(x1811)+P5(f6(x1811,a3))
% 0.56/0.69  [182]~P7(x1821)+P19(f6(x1821,a3))
% 0.56/0.69  [183]~P7(x1831)+P3(f6(x1831,a3))
% 0.56/0.69  [164]~P6(x1641)+~E(a3,x1641)+P10(a3,x1641)
% 0.56/0.69  [165]~P6(x1651)+~E(a3,x1651)+P11(a3,x1651)
% 0.56/0.69  [166]~P6(x1661)+~E(a3,x1661)+P8(a3,x1661)
% 0.56/0.69  [169]~P6(x1691)+~P10(a3,x1691)+E(a3,x1691)
% 0.56/0.69  [170]~P6(x1701)+~P11(a3,x1701)+E(a3,x1701)
% 0.56/0.69  [171]~P6(x1711)+~P8(a3,x1711)+E(a3,x1711)
% 0.56/0.69  [151]~P6(x1511)+E(a3,x1511)+P6(f53(x1511))
% 0.56/0.69  [153]~P6(x1531)+E(a3,x1531)+P7(f4(x1531))
% 0.56/0.69  [167]~P6(x1671)+P1(x1671)+~E(f51(x1671),f50(x1671))
% 0.56/0.69  [188]~P6(x1881)+P3(x1881)+P13(f32(x1881),f33(x1881))
% 0.56/0.69  [189]~P6(x1891)+P3(x1891)+P13(f33(x1891),f32(x1891))
% 0.56/0.69  [209]~P6(x2091)+P4(x2091)+~P16(f48(x2091),f47(x2091))
% 0.56/0.69  [210]~P6(x2101)+P18(x2101)+~P13(f46(x2101),f45(x2101))
% 0.56/0.69  [211]~P6(x2111)+P5(x2111)+~P16(f43(x2111),f44(x2111))
% 0.56/0.69  [212]~P6(x2121)+P5(x2121)+~P16(f44(x2121),f43(x2121))
% 0.56/0.69  [213]~P6(x2131)+P19(x2131)+~P13(f41(x2131),f42(x2131))
% 0.56/0.69  [214]~P6(x2141)+P19(x2141)+~P13(f42(x2141),f41(x2141))
% 0.56/0.69  [176]~P6(x1761)+~P9(x1761)+E(f6(f34(x1761),a3),x1761)
% 0.56/0.69  [184]~P6(x1841)+E(a3,x1841)+E(f6(f52(x1841),f11(x1841)),x1841)
% 0.56/0.69  [185]~P6(x1851)+E(a3,x1851)+E(f6(f4(x1851),f53(x1851)),x1851)
% 0.56/0.69  [269]P2(x2691)+~P6(x2691)+E(f5(f5(f16(x2691),f6(f49(x2691),f15(x2691))),f6(f49(x2691),f14(x2691))),x2691)
% 0.56/0.69  [270]P4(x2701)+~P6(x2701)+E(f5(f5(f19(x2701),f6(f48(x2701),f18(x2701))),f6(f47(x2701),f17(x2701))),x2701)
% 0.56/0.69  [271]P18(x2711)+~P6(x2711)+E(f5(f5(f22(x2711),f6(f46(x2711),f21(x2711))),f6(f45(x2711),f20(x2711))),x2711)
% 0.56/0.69  [272]P5(x2721)+~P6(x2721)+E(f5(f5(f25(x2721),f6(f44(x2721),f24(x2721))),f6(f43(x2721),f23(x2721))),x2721)
% 0.56/0.69  [273]P19(x2731)+~P6(x2731)+E(f5(f5(f28(x2731),f6(f42(x2731),f27(x2731))),f6(f41(x2731),f26(x2731))),x2731)
% 0.56/0.69  [274]P3(x2741)+~P6(x2741)+E(f5(f5(f31(x2741),f6(f33(x2741),f30(x2741))),f6(f32(x2741),f29(x2741))),x2741)
% 0.56/0.69  [267]P1(x2671)+~P6(x2671)+E(f5(f13(x2671),f6(f51(x2671),f6(f50(x2671),f12(x2671)))),x2671)
% 0.56/0.69  [149]~P6(x1491)+P2(x1491)+P7(x1492)
% 0.56/0.69  [186]~P6(x1862)+~P7(x1861)+~E(f6(x1861,x1862),a3)
% 0.56/0.69  [187]~P6(x1872)+~P7(x1871)+~E(f6(x1871,x1872),x1872)
% 0.56/0.69  [196]~P6(x1962)+~P7(x1961)+P6(f6(x1961,x1962))
% 0.56/0.69  [197]~P6(x1971)+~P6(x1972)+P6(f5(x1971,x1972))
% 0.56/0.69  [198]~P6(x1982)+~P7(x1981)+E(f53(f6(x1981,x1982)),x1982)
% 0.56/0.69  [199]~P6(x1992)+~P7(x1991)+E(f4(f6(x1991,x1992)),x1991)
% 0.56/0.69  [226]~P6(x2262)+~P7(x2261)+E(f5(f6(x2261,a3),x2262),f6(x2261,x2262))
% 0.56/0.69  [173]P17(x1732,x1731)+~P6(x1732)+~P6(x1731)+E(x1731,x1732)
% 0.56/0.69  [174]P17(x1742,x1741)+~P7(x1742)+~P7(x1741)+E(x1741,x1742)
% 0.56/0.69  [193]~P6(x1932)+~P6(x1931)+~P17(x1931,x1932)+~E(x1931,x1932)
% 0.56/0.69  [194]~P7(x1942)+~P7(x1941)+~P16(x1941,x1942)+~E(x1941,x1942)
% 0.56/0.69  [195]~P7(x1952)+~P7(x1951)+~P17(x1951,x1952)+~E(x1951,x1952)
% 0.56/0.69  [204]~P7(x2041)+~P7(x2042)+~P13(x2042,x2041)+P12(x2041,x2042)
% 0.56/0.69  [205]~P7(x2051)+~P7(x2052)+~P12(x2052,x2051)+P13(x2051,x2052)
% 0.56/0.69  [206]~P7(x2062)+~P7(x2061)+~P16(x2061,x2062)+P13(x2061,x2062)
% 0.56/0.69  [207]~P7(x2071)+~P7(x2072)+~P14(x2072,x2071)+P16(x2071,x2072)
% 0.56/0.69  [208]~P7(x2081)+~P7(x2082)+~P16(x2082,x2081)+P14(x2081,x2082)
% 0.56/0.69  [217]~P16(x2171,x2172)+~P16(x2172,x2171)+~P7(x2171)+~P7(x2172)
% 0.56/0.69  [218]~P14(x2181,x2182)+~P14(x2182,x2181)+~P7(x2181)+~P7(x2182)
% 0.56/0.69  [190]~P6(x1901)+~P6(x1902)+E(a3,x1901)+~E(f5(x1902,x1901),a3)
% 0.56/0.69  [191]~P6(x1912)+~P6(x1911)+E(a3,x1911)+~E(f5(x1911,x1912),a3)
% 0.56/0.69  [192]~P6(x1921)+~P7(x1922)+P9(x1921)+~E(f6(x1922,a3),x1921)
% 0.56/0.69  [201]~P6(x2012)+~P7(x2011)+~E(a3,x2012)+P4(f6(x2011,x2012))
% 0.56/0.69  [202]~P6(x2022)+~P7(x2021)+~E(a3,x2022)+P18(f6(x2021,x2022))
% 0.56/0.69  [203]~P6(x2031)+~P6(x2032)+E(a3,x2031)+E(f4(f5(x2031,x2032)),f4(x2031))
% 0.56/0.69  [228]~P6(x2281)+~P6(x2282)+E(a3,x2281)+E(f53(f5(x2281,x2282)),f5(f53(x2281),x2282))
% 0.56/0.69  [236]~P6(x2361)+~P6(x2362)+~P8(x2362,x2361)+E(f5(x2361,f40(x2362,x2361)),x2362)
% 0.56/0.69  [237]~P6(x2372)+~P6(x2371)+~P11(x2371,x2372)+E(f5(f39(x2371,x2372),x2372),x2371)
% 0.56/0.69  [266]~P6(x2662)+~P6(x2661)+~P10(x2661,x2662)+E(f5(f5(f38(x2661,x2662),x2662),f37(x2662,x2661)),x2661)
% 0.56/0.69  [265]~P6(x2651)+~P7(x2652)+~P15(x2651,x2652)+E(f5(f36(x2651,x2652),f6(x2652,f35(x2652,x2651))),x2651)
% 0.56/0.69  [255]~P6(x2553)+~P6(x2552)+~P7(x2551)+E(f6(x2551,f5(x2552,x2553)),f5(f6(x2551,x2552),x2553))
% 0.56/0.69  [256]~P6(x2561)+~P6(x2562)+~P6(x2563)+E(f5(f5(x2561,x2562),x2563),f5(x2561,f5(x2562,x2563)))
% 0.56/0.69  [235]~P6(x2351)+~P18(x2351)+~P10(x2351,a1)+~P8(a8,x2351)+~P17(a1,x2351)
% 0.56/0.69  [216]P16(x2161,x2162)+~P7(x2162)+~P7(x2161)+~P13(x2161,x2162)+E(x2161,x2162)
% 0.56/0.69  [221]~P6(x2212)+~P6(x2211)+~P10(x2212,x2211)+~P10(x2211,x2212)+E(x2211,x2212)
% 0.56/0.69  [222]~P6(x2222)+~P6(x2221)+~P11(x2222,x2221)+~P11(x2221,x2222)+E(x2221,x2222)
% 0.56/0.69  [223]~P6(x2232)+~P6(x2231)+~P8(x2232,x2231)+~P8(x2231,x2232)+E(x2231,x2232)
% 0.56/0.69  [224]~P7(x2242)+~P7(x2241)+~P12(x2242,x2241)+~P12(x2241,x2242)+E(x2241,x2242)
% 0.56/0.69  [225]~P7(x2252)+~P7(x2251)+~P13(x2252,x2251)+~P13(x2251,x2252)+E(x2251,x2252)
% 0.56/0.69  [175]~P6(x1752)+~P6(x1751)+~E(a3,x1752)+~E(a3,x1751)+E(f5(x1751,x1752),a3)
% 0.56/0.69  [231]P4(x2311)+~P6(x2311)+~P7(x2312)+E(a3,x2311)+~P4(f6(x2312,x2311))
% 0.56/0.69  [232]P18(x2321)+~P6(x2321)+~P7(x2322)+E(a3,x2321)+~P18(f6(x2322,x2321))
% 0.56/0.69  [246]~P6(x2461)+~P7(x2462)+E(a3,x2461)+P13(x2462,f4(x2461))+~P18(f6(x2462,x2461))
% 0.56/0.69  [247]~P6(x2471)+~P7(x2472)+E(a3,x2471)+P16(x2472,f4(x2471))+~P4(f6(x2472,x2471))
% 0.56/0.69  [219]~P6(x2191)+~P6(x2192)+~P6(x2193)+P11(x2191,x2192)+~E(f5(x2193,x2192),x2191)
% 0.56/0.69  [220]~P6(x2201)+~P6(x2203)+~P6(x2202)+P8(x2201,x2202)+~E(f5(x2202,x2203),x2201)
% 0.56/0.69  [227]~E(x2273,x2271)+~P6(x2272)+~P7(x2271)+~P7(x2273)+P15(f6(x2271,x2272),x2273)
% 0.56/0.69  [229]~P6(x2292)+~P6(x2291)+~P6(x2293)+E(x2291,x2292)+~E(f5(x2293,x2291),f5(x2293,x2292))
% 0.56/0.69  [230]~P6(x2302)+~P6(x2303)+~P6(x2301)+E(x2301,x2302)+~E(f5(x2301,x2303),f5(x2302,x2303))
% 0.56/0.69  [248]~P6(x2481)+~P6(x2483)+~P6(x2482)+~P11(x2482,x2483)+P11(f5(x2481,x2482),x2483)
% 0.56/0.69  [249]~P6(x2492)+~P6(x2493)+~P6(x2491)+~P8(x2491,x2493)+P8(f5(x2491,x2492),x2493)
% 0.56/0.69  [250]~P6(x2502)+~P7(x2501)+~P7(x2503)+~P15(x2502,x2503)+P15(f6(x2501,x2502),x2503)
% 0.56/0.69  [251]~P6(x2511)+~P6(x2512)+~P7(x2513)+~P15(x2512,x2513)+P15(f5(x2511,x2512),x2513)
% 0.56/0.69  [252]~P6(x2522)+~P6(x2521)+~P7(x2523)+~P15(x2521,x2523)+P15(f5(x2521,x2522),x2523)
% 0.56/0.69  [253]~P4(x2531)+~P6(x2531)+~P7(x2532)+~P16(x2532,f4(x2531))+E(a3,x2531)+P4(f6(x2532,x2531))
% 0.56/0.69  [254]~P18(x2541)+~P6(x2541)+~P7(x2542)+~P13(x2542,f4(x2541))+E(a3,x2541)+P18(f6(x2542,x2541))
% 0.56/0.69  [238]~P7(x2382)+~P7(x2381)+~P12(x2383,x2382)+~P12(x2381,x2383)+P12(x2381,x2382)+~P7(x2383)
% 0.56/0.69  [239]~P6(x2392)+~P6(x2391)+~P10(x2393,x2392)+~P10(x2391,x2393)+P10(x2391,x2392)+~P6(x2393)
% 0.56/0.69  [240]~P6(x2402)+~P6(x2401)+~P11(x2403,x2402)+~P11(x2401,x2403)+P11(x2401,x2402)+~P6(x2403)
% 0.56/0.69  [241]~P6(x2412)+~P6(x2411)+~P8(x2413,x2412)+~P8(x2411,x2413)+P8(x2411,x2412)+~P6(x2413)
% 0.56/0.69  [242]~P7(x2422)+~P7(x2421)+~P13(x2423,x2422)+~P13(x2421,x2423)+P13(x2421,x2422)+~P7(x2423)
% 0.56/0.69  [243]~P7(x2432)+~P7(x2431)+~P13(x2431,x2433)+~P16(x2433,x2432)+P16(x2431,x2432)+~P7(x2433)
% 0.56/0.69  [244]~P7(x2442)+~P7(x2441)+~P16(x2443,x2442)+~P16(x2441,x2443)+P16(x2441,x2442)+~P7(x2443)
% 0.56/0.69  [245]~P7(x2452)+~P7(x2451)+~P14(x2453,x2452)+~P14(x2451,x2453)+P14(x2451,x2452)+~P7(x2453)
% 0.56/0.69  [257]~P6(x2573)+~P7(x2572)+~P7(x2571)+E(x2571,x2572)+P15(x2573,x2572)+~P15(f6(x2571,x2573),x2572)
% 0.56/0.69  [260]~P6(x2601)+~P6(x2603)+~P7(x2602)+P15(x2601,x2602)+P15(x2603,x2602)+~P15(f5(x2603,x2601),x2602)
% 0.56/0.69  [233]~P6(x2332)+~P6(x2331)+~P7(x2334)+~P7(x2333)+E(x2331,x2332)+~E(f6(x2333,x2331),f6(x2334,x2332))
% 0.56/0.69  [234]~P6(x2344)+~P6(x2343)+~P7(x2342)+~P7(x2341)+E(x2341,x2342)+~E(f6(x2341,x2343),f6(x2342,x2344))
% 0.56/0.69  [262]~P7(x2622)+~P7(x2621)+E(x2621,x2622)+~P6(x2623)+~P6(x2624)+~P8(f6(x2621,x2624),f6(x2622,x2623))
% 0.56/0.69  [264]~P6(x2642)+~P6(x2641)+P8(x2641,x2642)+~P7(x2643)+~P7(x2644)+~P8(f6(x2644,x2641),f6(x2643,x2642))
% 0.56/0.69  [258]~P6(x2581)+~P6(x2584)+~P6(x2583)+~P7(x2582)+P15(x2581,x2582)+~E(f5(x2583,f6(x2582,x2584)),x2581)
% 0.56/0.69  [259]~P6(x2591)+~P6(x2594)+~P6(x2592)+~P6(x2593)+P10(x2591,x2592)+~E(f5(f5(x2593,x2592),x2594),x2591)
% 0.56/0.69  [263]~P6(x2631)+~P6(x2633)+~P6(x2634)+~P6(x2632)+~P10(x2632,x2634)+P10(f5(f5(x2631,x2632),x2633),x2634)
% 0.56/0.69  [200]~P6(x2002)+~P6(x2001)+E(x2001,x2002)+E(a3,x2002)+E(a3,x2001)+~E(f53(x2001),f53(x2002))+~E(f4(x2001),f4(x2002))
% 0.56/0.69  [261]~E(x2611,x2613)+~P6(x2614)+~P6(x2612)+~P7(x2613)+~P7(x2611)+~P8(x2612,x2614)+P8(f6(x2611,x2612),f6(x2613,x2614))
% 0.56/0.69  [275]~P2(x2755)+~P6(x2755)+~P6(x2754)+~P6(x2753)+~P6(x2751)+~P7(x2752)+~E(f5(f5(x2751,f6(x2752,x2753)),f6(x2752,x2754)),x2755)
% 0.56/0.69  [268]~P1(x2685)+~P6(x2685)+~P6(x2684)+~P6(x2683)+~P7(x2682)+~P7(x2681)+E(x2681,x2682)+~E(f5(x2683,f6(x2681,f6(x2682,x2684))),x2685)
% 0.56/0.69  [276]~P18(x2766)+~P6(x2766)+~P6(x2765)+~P6(x2764)+~P6(x2763)+~P7(x2762)+~P7(x2761)+P13(x2761,x2762)+~E(f5(f5(x2763,f6(x2761,x2764)),f6(x2762,x2765)),x2766)
% 0.56/0.69  [277]~P4(x2776)+~P6(x2776)+~P6(x2775)+~P6(x2774)+~P6(x2773)+~P7(x2772)+~P7(x2771)+P16(x2771,x2772)+~E(f5(f5(x2773,f6(x2771,x2774)),f6(x2772,x2775)),x2776)
% 0.56/0.69  [278]P13(x2782,x2781)+~P19(x2786)+~P6(x2786)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P7(x2781)+~P7(x2782)+P13(x2781,x2782)+~E(f5(f5(x2783,f6(x2782,x2784)),f6(x2781,x2785)),x2786)
% 0.56/0.69  [279]P16(x2792,x2791)+~P5(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2791)+~P7(x2792)+P16(x2791,x2792)+~E(f5(f5(x2793,f6(x2792,x2794)),f6(x2791,x2795)),x2796)
% 0.56/0.69  [280]~P3(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2803)+~P6(x2801)+~P7(x2804)+~P7(x2802)+~P13(x2804,x2802)+~P13(x2802,x2804)+~E(f5(f5(x2801,f6(x2802,x2803)),f6(x2804,x2805)),x2806)
% 0.56/0.69  %EqnAxiom
% 0.56/0.69  [1]E(x11,x11)
% 0.56/0.69  [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.69  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.69  [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 0.56/0.69  [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 0.56/0.69  [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.56/0.69  [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 0.56/0.69  [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 0.56/0.69  [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 0.56/0.69  [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 0.56/0.69  [11]~E(x111,x112)+E(f18(x111),f18(x112))
% 0.56/0.69  [12]~E(x121,x122)+E(f19(x121),f19(x122))
% 0.56/0.69  [13]~E(x131,x132)+E(f20(x131),f20(x132))
% 0.56/0.69  [14]~E(x141,x142)+E(f21(x141),f21(x142))
% 0.56/0.69  [15]~E(x151,x152)+E(f22(x151),f22(x152))
% 0.56/0.69  [16]~E(x161,x162)+E(f23(x161),f23(x162))
% 0.56/0.69  [17]~E(x171,x172)+E(f24(x171),f24(x172))
% 0.56/0.69  [18]~E(x181,x182)+E(f25(x181),f25(x182))
% 0.56/0.69  [19]~E(x191,x192)+E(f26(x191),f26(x192))
% 0.56/0.69  [20]~E(x201,x202)+E(f27(x201),f27(x202))
% 0.56/0.69  [21]~E(x211,x212)+E(f28(x211),f28(x212))
% 0.56/0.69  [22]~E(x221,x222)+E(f29(x221),f29(x222))
% 0.56/0.69  [23]~E(x231,x232)+E(f30(x231),f30(x232))
% 0.56/0.69  [24]~E(x241,x242)+E(f31(x241),f31(x242))
% 0.56/0.69  [25]~E(x251,x252)+E(f52(x251),f52(x252))
% 0.56/0.69  [26]~E(x261,x262)+E(f50(x261),f50(x262))
% 0.56/0.69  [27]~E(x271,x272)+E(f51(x271),f51(x272))
% 0.56/0.69  [28]~E(x281,x282)+E(f49(x281),f49(x282))
% 0.56/0.69  [29]~E(x291,x292)+E(f47(x291),f47(x292))
% 0.56/0.69  [30]~E(x301,x302)+E(f48(x301),f48(x302))
% 0.56/0.69  [31]~E(x311,x312)+E(f45(x311),f45(x312))
% 0.56/0.69  [32]~E(x321,x322)+E(f46(x321),f46(x322))
% 0.56/0.69  [33]~E(x331,x332)+E(f43(x331),f43(x332))
% 0.56/0.69  [34]~E(x341,x342)+E(f44(x341),f44(x342))
% 0.56/0.69  [35]~E(x351,x352)+E(f41(x351),f41(x352))
% 0.56/0.69  [36]~E(x361,x362)+E(f42(x361),f42(x362))
% 0.56/0.69  [37]~E(x371,x372)+E(f32(x371),f32(x372))
% 0.56/0.69  [38]~E(x381,x382)+E(f33(x381),f33(x382))
% 0.56/0.69  [39]~E(x391,x392)+E(f34(x391),f34(x392))
% 0.56/0.69  [40]~E(x401,x402)+E(f37(x401,x403),f37(x402,x403))
% 0.56/0.69  [41]~E(x411,x412)+E(f37(x413,x411),f37(x413,x412))
% 0.56/0.69  [42]~E(x421,x422)+E(f38(x421,x423),f38(x422,x423))
% 0.56/0.69  [43]~E(x431,x432)+E(f38(x433,x431),f38(x433,x432))
% 0.56/0.69  [44]~E(x441,x442)+E(f39(x441,x443),f39(x442,x443))
% 0.56/0.69  [45]~E(x451,x452)+E(f39(x453,x451),f39(x453,x452))
% 0.56/0.69  [46]~E(x461,x462)+E(f40(x461,x463),f40(x462,x463))
% 0.56/0.69  [47]~E(x471,x472)+E(f40(x473,x471),f40(x473,x472))
% 0.56/0.69  [48]~E(x481,x482)+E(f35(x481,x483),f35(x482,x483))
% 0.56/0.69  [49]~E(x491,x492)+E(f35(x493,x491),f35(x493,x492))
% 0.56/0.69  [50]~E(x501,x502)+E(f36(x501,x503),f36(x502,x503))
% 0.56/0.69  [51]~E(x511,x512)+E(f36(x513,x511),f36(x513,x512))
% 0.56/0.69  [52]~E(x521,x522)+E(f53(x521),f53(x522))
% 0.56/0.69  [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 0.56/0.69  [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 0.56/0.69  [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 0.56/0.69  [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 0.56/0.69  [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 0.56/0.69  [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.56/0.69  [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.56/0.69  [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.56/0.69  [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.56/0.69  [62]~P7(x621)+P7(x622)+~E(x621,x622)
% 0.56/0.69  [63]~P5(x631)+P5(x632)+~E(x631,x632)
% 0.56/0.69  [64]~P19(x641)+P19(x642)+~E(x641,x642)
% 0.56/0.69  [65]~P3(x651)+P3(x652)+~E(x651,x652)
% 0.56/0.69  [66]~P6(x661)+P6(x662)+~E(x661,x662)
% 0.56/0.69  [67]P14(x672,x673)+~E(x671,x672)+~P14(x671,x673)
% 0.56/0.69  [68]P14(x683,x682)+~E(x681,x682)+~P14(x683,x681)
% 0.56/0.69  [69]P8(x692,x693)+~E(x691,x692)+~P8(x691,x693)
% 0.56/0.69  [70]P8(x703,x702)+~E(x701,x702)+~P8(x703,x701)
% 0.56/0.69  [71]P15(x712,x713)+~E(x711,x712)+~P15(x711,x713)
% 0.56/0.69  [72]P15(x723,x722)+~E(x721,x722)+~P15(x723,x721)
% 0.56/0.69  [73]P13(x732,x733)+~E(x731,x732)+~P13(x731,x733)
% 0.56/0.69  [74]P13(x743,x742)+~E(x741,x742)+~P13(x743,x741)
% 0.56/0.69  [75]P16(x752,x753)+~E(x751,x752)+~P16(x751,x753)
% 0.56/0.69  [76]P16(x763,x762)+~E(x761,x762)+~P16(x763,x761)
% 0.56/0.69  [77]P12(x772,x773)+~E(x771,x772)+~P12(x771,x773)
% 0.56/0.69  [78]P12(x783,x782)+~E(x781,x782)+~P12(x783,x781)
% 0.56/0.69  [79]P11(x792,x793)+~E(x791,x792)+~P11(x791,x793)
% 0.56/0.69  [80]P11(x803,x802)+~E(x801,x802)+~P11(x803,x801)
% 0.56/0.69  [81]P10(x812,x813)+~E(x811,x812)+~P10(x811,x813)
% 0.56/0.69  [82]P10(x823,x822)+~E(x821,x822)+~P10(x823,x821)
% 0.56/0.69  [83]~P9(x831)+P9(x832)+~E(x831,x832)
% 0.56/0.69  [84]P17(x842,x843)+~E(x841,x842)+~P17(x841,x843)
% 0.56/0.69  [85]P17(x853,x852)+~E(x851,x852)+~P17(x853,x851)
% 0.56/0.69  
% 0.56/0.69  %-------------------------------------------
% 0.56/0.69  cnf(285,plain,
% 0.56/0.69     ($false),
% 0.56/0.69     inference(scs_inference,[],[86,92,139,147,101,2,172,70,61]),
% 0.56/0.69     ['proof']).
% 0.56/0.69  % SZS output end Proof
% 0.56/0.69  % Total time :0.010000s
%------------------------------------------------------------------------------