TSTP Solution File: SET025-8 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SET025-8 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n024.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 14:28:01 EDT 2023

% Result   : Unsatisfiable 0.88s 0.98s
% Output   : CNFRefutation 0.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET025-8 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n024.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   : Sat Aug 26 15:38:09 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 0.88/0.98  %-------------------------------------------
% 0.88/0.98  % File        :CSE---1.6
% 0.88/0.98  % Problem     :theBenchmark
% 0.88/0.98  % Transform   :cnf
% 0.88/0.98  % Format      :tptp:raw
% 0.88/0.98  % Command     :java -jar mcs_scs.jar %d %s
% 0.88/0.98  
% 0.88/0.98  % Result      :Theorem 0.320000s
% 0.88/0.98  % Output      :CNFRefutation 0.320000s
% 0.88/0.98  %-------------------------------------------
% 0.88/0.98  %--------------------------------------------------------------------------
% 0.88/0.98  % File     : SET025-8 : TPTP v8.1.2. Released v1.0.0.
% 0.88/0.98  % Domain   : Set Theory
% 0.88/0.98  % Problem  : Ordered pairs are little sets
% 0.88/0.98  % Version  : [BL+86] axioms : Augmented.
% 0.88/0.98  %            Theorem formulation : Predicate for ordered pairs.
% 0.88/0.98  % English  :
% 0.88/0.98  
% 0.88/0.98  % Refs     : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.88/0.98  % Source   : [BL+86]
% 0.88/0.98  % Names    : Lemma 11 [BL+86]
% 0.88/0.98  
% 0.88/0.98  % Status   : Unsatisfiable
% 0.88/0.98  % 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 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.29 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.47 v5.0.0, 0.36 v4.1.0, 0.38 v4.0.1, 0.27 v4.0.0, 0.18 v3.7.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.38 v3.1.0, 0.27 v2.7.0, 0.17 v2.6.0, 0.10 v2.5.0, 0.42 v2.4.0, 0.00 v2.3.0, 0.11 v2.2.1, 0.33 v2.2.0, 0.44 v2.1.0, 0.56 v2.0.0
% 0.88/0.98  % Syntax   : Number of clauses     :  153 (  14 unt;  20 nHn; 129 RR)
% 0.88/0.98  %            Number of literals    :  387 (  56 equ; 218 neg)
% 0.88/0.98  %            Maximal clause size   :    8 (   2 avg)
% 0.88/0.98  %            Maximal term depth    :    4 (   1 avg)
% 0.88/0.98  %            Number of predicates  :   14 (  13 usr;   0 prp; 1-5 aty)
% 0.88/0.98  %            Number of functors    :   60 (  60 usr;   7 con; 0-5 aty)
% 0.88/0.98  %            Number of variables   :  342 (  32 sgn)
% 0.88/0.98  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 0.88/0.98  
% 0.88/0.98  % Comments :
% 0.88/0.98  %--------------------------------------------------------------------------
% 0.88/0.98  %----Include Godel's set axioms
% 0.88/0.98  include('Axioms/SET003-0.ax').
% 0.88/0.98  %--------------------------------------------------------------------------
% 0.88/0.98  %----Previously proved lemmas are added at each step
% 0.88/0.98  cnf(first_components_are_equal,axiom,
% 0.88/0.98      ( ~ little_set(X)
% 0.88/0.98      | ~ little_set(U)
% 0.88/0.98      | ordered_pair(X,Y) != ordered_pair(U,V)
% 0.88/0.98      | X = U ) ).
% 0.88/0.98  
% 0.88/0.98  cnf(left_cancellation,axiom,
% 0.88/0.98      ( ~ little_set(X)
% 0.88/0.98      | ~ little_set(Y)
% 0.88/0.98      | non_ordered_pair(Z,X) != non_ordered_pair(Z,Y)
% 0.88/0.98      | X = Y ) ).
% 0.88/0.98  
% 0.88/0.98  cnf(second_components_are_equal,axiom,
% 0.88/0.98      ( ~ little_set(X)
% 0.88/0.98      | ~ little_set(Y)
% 0.88/0.98      | ~ little_set(U)
% 0.88/0.98      | ~ little_set(V)
% 0.88/0.98      | ordered_pair(X,Y) != ordered_pair(U,V)
% 0.88/0.98      | Y = V ) ).
% 0.88/0.98  
% 0.88/0.98  cnf(two_sets_equal,axiom,
% 0.88/0.98      ( ~ subset(X,Y)
% 0.88/0.98      | ~ subset(Y,X)
% 0.88/0.98      | X = Y ) ).
% 0.88/0.98  
% 0.88/0.98  cnf(property_of_first,axiom,
% 0.88/0.98      ( ~ little_set(X)
% 0.88/0.98      | ~ little_set(Y)
% 0.88/0.98      | first(ordered_pair(X,Y)) = X ) ).
% 0.88/0.98  
% 0.88/0.98  cnf(property_of_second,axiom,
% 0.88/0.98      ( ~ little_set(X)
% 0.88/0.98      | ~ little_set(Y)
% 0.88/0.98      | second(ordered_pair(X,Y)) = Y ) ).
% 0.88/0.98  
% 0.88/0.98  cnf(first_component_is_small,axiom,
% 0.88/0.98      ( ~ ordered_pair_predicate(X)
% 0.88/0.98      | little_set(first(X)) ) ).
% 0.88/0.98  
% 0.88/0.98  cnf(second_component_is_small,axiom,
% 0.88/0.98      ( ~ ordered_pair_predicate(X)
% 0.88/0.98      | little_set(second(X)) ) ).
% 0.88/0.98  
% 0.88/0.98  cnf(property_of_singleton_sets,axiom,
% 0.88/0.98      ( ~ little_set(X)
% 0.88/0.98      | member(X,singleton_set(X)) ) ).
% 0.88/0.98  
% 0.88/0.98  cnf(ordered_pairs_are_small1,axiom,
% 0.88/0.98      little_set(ordered_pair(X,Y)) ).
% 0.88/0.98  
% 0.88/0.98  cnf(an_ordered_pair_predicate,hypothesis,
% 0.88/0.98      ordered_pair_predicate(a) ).
% 0.88/0.98  
% 0.88/0.98  cnf(prove_predicate_is_small,negated_conjecture,
% 0.88/0.98      ~ little_set(a) ).
% 0.88/0.98  
% 0.88/0.98  %--------------------------------------------------------------------------
% 0.88/0.98  %-------------------------------------------
% 0.88/0.98  % Proof found
% 0.88/0.98  % SZS status Theorem for theBenchmark
% 0.88/0.98  % SZS output start Proof
% 0.88/0.99  %ClaNum:261(EqnAxiom:114)
% 0.88/0.99  %VarNum:970(SingletonVarNum:329)
% 0.88/0.99  %MaxLitNum:8
% 0.88/0.99  %MaxfuncDepth:5
% 0.88/0.99  %SharedTerms:12
% 0.88/0.99  %goalClause: 121
% 0.88/0.99  %singleGoalClaCount:1
% 0.88/0.99  [115]P1(a1)
% 0.88/0.99  [116]P6(a2)
% 0.88/0.99  [117]P2(a3)
% 0.88/0.99  [118]P7(a4,a1)
% 0.88/0.99  [121]~P1(a2)
% 0.88/0.99  [122]~P7(x1221,a4)
% 0.88/0.99  [119]P1(f47(x1191,x1192))
% 0.88/0.99  [123]~P2(x1231)+P10(x1231)
% 0.88/0.99  [124]~P2(x1241)+P12(x1241)
% 0.88/0.99  [125]~P9(x1251)+P2(x1251)
% 0.88/0.99  [138]~P1(x1381)+P7(x1381,a54)
% 0.88/0.99  [142]P6(x1421)+~P7(x1421,a13)
% 0.88/0.99  [143]P6(x1431)+~P7(x1431,a44)
% 0.88/0.99  [126]P12(x1261)+P1(f11(x1261))
% 0.88/0.99  [127]P12(x1271)+P1(f22(x1271))
% 0.88/0.99  [128]P12(x1281)+P1(f24(x1281))
% 0.88/0.99  [129]P12(x1291)+~E(f24(x1291),f22(x1291))
% 0.88/0.99  [130]~P6(x1301)+P1(f23(x1301))
% 0.88/0.99  [131]~P6(x1311)+P1(f28(x1311))
% 0.88/0.99  [132]~P6(x1321)+P1(f33(x1321))
% 0.88/0.99  [133]~P6(x1331)+P1(f49(x1331))
% 0.88/0.99  [134]~P1(x1341)+P1(f53(x1341))
% 0.88/0.99  [135]~P1(x1351)+P1(f50(x1351))
% 0.88/0.99  [136]~P9(x1361)+P2(f5(x1361))
% 0.88/0.99  [139]P10(x1391)+~P6(f12(x1391))
% 0.88/0.99  [140]P7(f25(x1401),x1401)+E(x1401,a4)
% 0.88/0.99  [141]P3(f25(x1411),x1411)+E(x1411,a4)
% 0.88/0.99  [144]P10(x1441)+P7(f12(x1441),x1441)
% 0.88/0.99  [150]~P7(x1501,a44)+E(f49(x1501),f33(x1501))
% 0.88/0.99  [161]~P7(x1611,a13)+P7(f33(x1611),f49(x1611))
% 0.88/0.99  [162]~P1(x1621)+P7(x1621,f47(x1621,x1621))
% 0.88/0.99  [215]~P6(x2151)+E(f47(f47(f23(x2151),f23(x2151)),f47(f23(x2151),f28(x2151))),x2151)
% 0.88/0.99  [235]P12(x2351)+P7(f47(f47(f11(x2351),f11(x2351)),f47(f11(x2351),f22(x2351))),x2351)
% 0.88/0.99  [236]P12(x2361)+P7(f47(f47(f11(x2361),f11(x2361)),f47(f11(x2361),f24(x2361))),x2361)
% 0.88/0.99  [242]~P7(x2421,a1)+P7(f6(f48(f6(x2421),f6(f47(x2421,x2421)))),a1)
% 0.88/0.99  [145]~P11(x1451,x1452)+~E(x1451,x1452)
% 0.88/0.99  [146]P1(x1461)+~P4(x1462,x1461)
% 0.88/0.99  [147]P1(x1471)+~P7(x1471,x1472)
% 0.88/0.99  [148]P1(x1481)+~P4(x1481,x1482)
% 0.88/0.99  [155]~P11(x1551,x1552)+P13(x1551,x1552)
% 0.88/0.99  [152]E(x1521,x1522)+P1(f14(x1521,x1522))
% 0.88/0.99  [154]P6(x1541)+~P7(x1541,f5(x1542))
% 0.88/0.99  [160]P13(x1601,x1602)+~P7(x1601,f50(x1602))
% 0.88/0.99  [167]P13(x1671,x1672)+P7(f15(x1671,x1672),x1671)
% 0.88/0.99  [168]P3(x1681,x1682)+P7(f26(x1681,x1682),x1682)
% 0.88/0.99  [169]P3(x1691,x1692)+P7(f26(x1691,x1692),x1691)
% 0.88/0.99  [170]~P7(x1701,x1702)+~P7(x1701,f6(x1702))
% 0.88/0.99  [173]~P7(x1731,f33(x1732))+P1(f34(x1731,x1732))
% 0.88/0.99  [174]~P7(x1741,f33(x1742))+P1(f39(x1741,x1742))
% 0.88/0.99  [175]~P7(x1751,f49(x1752))+P1(f40(x1751,x1752))
% 0.88/0.99  [176]~P7(x1761,f49(x1762))+P1(f41(x1761,x1762))
% 0.88/0.99  [177]~P7(x1771,f51(x1772))+P1(f42(x1771,x1772))
% 0.88/0.99  [178]~P7(x1781,f51(x1782))+P1(f16(x1781,x1782))
% 0.88/0.99  [179]~P7(x1791,f51(x1792))+P1(f17(x1791,x1792))
% 0.88/0.99  [180]~P7(x1801,f45(x1802))+P1(f18(x1801,x1802))
% 0.88/0.99  [181]~P7(x1811,f45(x1812))+P1(f19(x1811,x1812))
% 0.88/0.99  [182]~P7(x1821,f45(x1822))+P1(f20(x1821,x1822))
% 0.88/0.99  [183]~P7(x1831,f9(x1832))+P6(f43(x1831,x1832))
% 0.88/0.99  [184]~P7(x1841,f52(x1842))+P6(f30(x1841,x1842))
% 0.88/0.99  [194]~P7(x1941,f33(x1942))+P7(x1941,f34(x1941,x1942))
% 0.88/0.99  [195]~P7(x1951,f49(x1952))+P7(x1951,f41(x1951,x1952))
% 0.88/0.99  [196]~P7(x1961,f53(x1962))+P7(x1961,f21(x1961,x1962))
% 0.88/0.99  [197]~P7(x1971,f9(x1972))+P7(f43(x1971,x1972),x1972)
% 0.88/0.99  [198]~P7(x1981,f53(x1982))+P7(f21(x1981,x1982),x1982)
% 0.88/0.99  [199]~P7(x1991,f52(x1992))+P7(f30(x1991,x1992),x1992)
% 0.88/0.99  [202]P13(x2021,x2022)+~P7(f15(x2021,x2022),x2022)
% 0.88/0.99  [210]~P4(x2102,x2101)+P8(x2101,f10(x2102,x2102),x2102)
% 0.88/0.99  [185]~P7(x1851,f9(x1852))+E(f33(f43(x1851,x1852)),x1851)
% 0.88/0.99  [186]~P7(x1861,f52(x1862))+E(f49(f30(x1861,x1862)),x1861)
% 0.88/0.99  [237]~P7(x2371,f5(x2372))+P7(f47(f47(f49(x2371),f49(x2371)),f47(f49(x2371),f33(x2371))),x2372)
% 0.88/0.99  [240]~P7(x2401,f33(x2402))+E(f47(f47(f34(x2401,x2402),f34(x2401,x2402)),f47(f34(x2401,x2402),f39(x2401,x2402))),x2402)
% 0.88/0.99  [241]~P7(x2411,f49(x2412))+E(f47(f47(f40(x2411,x2412),f40(x2411,x2412)),f47(f40(x2411,x2412),f41(x2411,x2412))),x2412)
% 0.88/0.99  [247]~P7(x2471,f51(x2472))+E(f47(f47(f42(x2471,x2472),f42(x2471,x2472)),f47(f42(x2471,x2472),f47(f47(f16(x2471,x2472),f16(x2471,x2472)),f47(f16(x2471,x2472),f17(x2471,x2472))))),x2471)
% 0.88/0.99  [248]~P7(x2481,f45(x2482))+E(f47(f47(f18(x2481,x2482),f18(x2481,x2482)),f47(f18(x2481,x2482),f47(f47(f19(x2481,x2482),f19(x2481,x2482)),f47(f19(x2481,x2482),f20(x2481,x2482))))),x2481)
% 0.88/0.99  [256]~P7(x2561,f51(x2562))+P7(f47(f47(f16(x2561,x2562),f16(x2561,x2562)),f47(f16(x2561,x2562),f47(f47(f17(x2561,x2562),f17(x2561,x2562)),f47(f17(x2561,x2562),f42(x2561,x2562))))),x2562)
% 0.88/0.99  [257]~P7(x2571,f45(x2572))+P7(f47(f47(f18(x2571,x2572),f18(x2571,x2572)),f47(f18(x2571,x2572),f47(f47(f20(x2571,x2572),f20(x2571,x2572)),f47(f20(x2571,x2572),f19(x2571,x2572))))),x2572)
% 0.88/0.99  [207]P2(x2071)+~P8(x2071,x2072,x2073)
% 0.88/0.99  [190]P6(x1901)+~P7(x1901,f10(x1902,x1903))
% 0.88/0.99  [200]P7(x2001,x2002)+~P7(x2001,f48(x2003,x2002))
% 0.88/0.99  [201]P7(x2011,x2012)+~P7(x2011,f48(x2012,x2013))
% 0.88/0.99  [204]P7(f33(x2041),x2042)+~P7(x2041,f10(x2042,x2043))
% 0.88/0.99  [205]P7(f49(x2051),x2052)+~P7(x2051,f10(x2053,x2052))
% 0.88/0.99  [208]~P8(x2081,x2082,x2083)+E(f9(x2081),x2082)
% 0.88/0.99  [211]~P8(x2111,x2113,x2112)+P13(f52(x2111),x2112)
% 0.88/0.99  [223]~P7(x2231,f8(x2232,x2233))+P1(f31(x2231,x2232,x2233))
% 0.88/0.99  [224]~P7(x2241,f8(x2242,x2243))+P1(f35(x2241,x2242,x2243))
% 0.88/0.99  [225]~P7(x2251,f8(x2252,x2253))+P1(f36(x2251,x2252,x2253))
% 0.88/0.99  [226]~P7(x2261,f46(x2262,x2263))+P6(f27(x2261,x2262,x2263))
% 0.88/0.99  [227]~P7(x2271,f7(x2272,x2273))+P6(f32(x2271,x2272,x2273))
% 0.88/0.99  [231]~P7(x2311,f46(x2312,x2313))+P7(f27(x2311,x2312,x2313),x2313)
% 0.88/0.99  [232]~P7(x2321,f7(x2322,x2323))+P7(f32(x2321,x2322,x2323),x2322)
% 0.88/0.99  [228]~P7(x2281,f7(x2282,x2283))+E(f33(f32(x2281,x2282,x2283)),x2283)
% 0.88/0.99  [229]~P7(x2291,f46(x2292,x2293))+E(f49(f27(x2291,x2292,x2293)),x2291)
% 0.88/0.99  [238]~P7(x2381,f7(x2382,x2383))+P7(x2381,f49(f32(x2381,x2382,x2383)))
% 0.88/0.99  [239]~P7(x2391,f46(x2392,x2393))+P7(f33(f27(x2391,x2392,x2393)),x2392)
% 0.88/0.99  [246]~P7(x2461,f8(x2462,x2463))+E(f47(f47(f31(x2461,x2462,x2463),f31(x2461,x2462,x2463)),f47(f31(x2461,x2462,x2463),f35(x2461,x2462,x2463))),x2461)
% 0.88/0.99  [253]~P7(x2531,f8(x2532,x2533))+P7(f47(f47(f31(x2531,x2532,x2533),f31(x2531,x2532,x2533)),f47(f31(x2531,x2532,x2533),f36(x2531,x2532,x2533))),x2532)
% 0.88/0.99  [254]~P7(x2541,f8(x2542,x2543))+P7(f47(f47(f36(x2541,x2542,x2543),f36(x2541,x2542,x2543)),f47(f36(x2541,x2542,x2543),f35(x2541,x2542,x2543))),x2543)
% 0.88/0.99  [251]P4(x2511,x2512)+~P5(x2513,x2514,x2515,x2511,x2512)
% 0.88/0.99  [252]P4(x2521,x2522)+~P5(x2523,x2521,x2522,x2524,x2525)
% 0.88/0.99  [255]P8(x2551,x2552,x2553)+~P5(x2551,x2552,x2554,x2553,x2555)
% 0.88/0.99  [137]~P10(x1371)+~P12(x1371)+P2(x1371)
% 0.88/0.99  [149]~P2(x1491)+P9(x1491)+~P2(f5(x1491))
% 0.88/0.99  [151]~P1(x1511)+P7(f29(x1511),x1511)+E(x1511,a4)
% 0.88/0.99  [230]~P1(x2301)+E(x2301,a4)+P7(f47(f47(x2301,x2301),f47(x2301,f29(x2301))),a3)
% 0.88/0.99  [153]~P7(x1531,x1532)+P6(x1531)+~P10(x1532)
% 0.88/0.99  [156]P11(x1561,x1562)+~P13(x1561,x1562)+E(x1561,x1562)
% 0.88/0.99  [163]~P13(x1632,x1631)+~P13(x1631,x1632)+E(x1631,x1632)
% 0.88/0.99  [158]~P1(x1581)+P7(x1581,x1582)+P7(x1581,f6(x1582))
% 0.88/0.99  [159]~P1(x1591)+~P2(x1592)+P1(f46(x1591,x1592))
% 0.88/0.99  [164]~P1(x1641)+~P13(x1641,x1642)+P7(x1641,f50(x1642))
% 0.88/0.99  [203]E(x2031,x2032)+P7(f14(x2031,x2032),x2032)+P7(f14(x2031,x2032),x2031)
% 0.88/0.99  [217]E(x2171,x2172)+~P7(f14(x2171,x2172),x2172)+~P7(f14(x2171,x2172),x2171)
% 0.88/0.99  [218]~P1(x2182)+~P1(x2181)+E(f33(f47(f47(x2181,x2181),f47(x2181,x2182))),x2181)
% 0.88/0.99  [219]~P1(x2192)+~P1(x2191)+E(f49(f47(f47(x2191,x2191),f47(x2191,x2192))),x2192)
% 0.88/0.99  [171]~P13(x1713,x1712)+P7(x1711,x1712)+~P7(x1711,x1713)
% 0.88/0.99  [192]~P3(x1923,x1922)+~P7(x1921,x1922)+~P7(x1921,x1923)
% 0.88/0.99  [165]~E(x1651,x1653)+~P1(x1651)+P7(x1651,f47(x1652,x1653))
% 0.88/0.99  [166]~E(x1661,x1662)+~P1(x1661)+P7(x1661,f47(x1662,x1663))
% 0.88/0.99  [187]~P7(x1871,x1873)+~P7(x1873,x1872)+P7(x1871,f53(x1872))
% 0.88/0.99  [191]E(x1911,x1912)+E(x1911,x1913)+~P7(x1911,f47(x1913,x1912))
% 0.88/0.99  [206]~P7(x2061,x2063)+~P7(x2061,x2062)+P7(x2061,f48(x2062,x2063))
% 0.88/0.99  [157]~P1(x1571)+~P6(x1571)+~E(f49(x1571),f33(x1571))+P7(x1571,a44)
% 0.88/0.99  [193]~P1(x1931)+~P6(x1931)+~P7(f33(x1931),f49(x1931))+P7(x1931,a13)
% 0.88/0.99  [220]~P1(x2202)+~P1(x2201)+P4(x2201,x2202)+~P8(x2202,f10(x2201,x2201),x2201)
% 0.88/0.99  [243]~P1(x2431)+~P6(x2431)+P7(x2431,f5(x2432))+~P7(f47(f47(f49(x2431),f49(x2431)),f47(f49(x2431),f33(x2431))),x2432)
% 0.88/0.99  [172]~P1(x1722)+~P1(x1721)+E(x1721,x1722)+~E(f47(x1723,x1721),f47(x1723,x1722))
% 0.88/0.99  [209]~P2(x2091)+P8(x2091,x2092,x2093)+~E(f9(x2091),x2092)+~P13(f52(x2091),x2093)
% 0.88/0.99  [216]~P1(x2163)+~P1(x2162)+P6(x2161)+~E(x2161,f47(f47(x2162,x2162),f47(x2162,x2163)))
% 0.88/0.99  [233]~P1(x2332)+~P1(x2331)+E(x2331,x2332)+~E(f47(f47(x2331,x2331),f47(x2331,x2333)),f47(f47(x2332,x2332),f47(x2332,x2334)))
% 0.88/0.99  [258]~P7(x2583,x2586)+~P5(x2581,x2586,x2582,x2587,x2585)+~P7(x2584,x2586)+E(f7(x2581,f7(x2582,f47(f47(x2583,x2583),f47(x2583,x2584)))),f7(x2585,f47(f47(f7(x2581,x2583),f7(x2581,x2583)),f47(f7(x2581,x2583),f7(x2581,x2584)))))
% 0.88/0.99  [188]~P1(x1881)+~P6(x1883)+~P7(x1883,x1882)+P7(x1881,f9(x1882))+~E(x1881,f33(x1883))
% 0.88/0.99  [189]~P1(x1891)+~P6(x1893)+~P7(x1893,x1892)+P7(x1891,f52(x1892))+~E(x1891,f49(x1893))
% 0.88/0.99  [214]~P1(x2141)+~P6(x2141)+~P7(f33(x2141),x2142)+~P7(f49(x2141),x2143)+P7(x2141,f10(x2142,x2143))
% 0.88/0.99  [212]~P6(x2124)+~P7(x2124,x2122)+~P7(x2121,f49(x2124))+P7(x2121,f7(x2122,x2123))+~E(f33(x2124),x2123)
% 0.88/0.99  [221]~P1(x2214)+~P1(x2213)+~P7(x2211,x2213)+P7(x2211,f33(x2212))+~E(x2212,f47(f47(x2213,x2213),f47(x2213,x2214)))
% 0.88/0.99  [222]~P1(x2224)+~P1(x2223)+~P7(x2221,x2224)+P7(x2221,f49(x2222))+~E(x2222,f47(f47(x2223,x2223),f47(x2223,x2224)))
% 0.88/0.99  [259]~P4(x2594,x2595)+~P4(x2592,x2593)+~P8(x2591,x2592,x2594)+P5(x2591,x2592,x2593,x2594,x2595)+P7(f37(x2591,x2592,x2593,x2594,x2595),x2592)
% 0.88/0.99  [260]~P4(x2604,x2605)+~P4(x2602,x2603)+~P8(x2601,x2602,x2604)+P5(x2601,x2602,x2603,x2604,x2605)+P7(f38(x2601,x2602,x2603,x2604,x2605),x2602)
% 0.88/0.99  [261]~P4(x2614,x2615)+~P4(x2612,x2613)+~P8(x2611,x2612,x2614)+P5(x2611,x2612,x2613,x2614,x2615)+~E(f7(x2611,f7(x2613,f47(f47(f37(x2611,x2612,x2613,x2614,x2615),f37(x2611,x2612,x2613,x2614,x2615)),f47(f37(x2611,x2612,x2613,x2614,x2615),f38(x2611,x2612,x2613,x2614,x2615))))),f7(x2615,f47(f47(f7(x2611,f37(x2611,x2612,x2613,x2614,x2615)),f7(x2611,f37(x2611,x2612,x2613,x2614,x2615))),f47(f7(x2611,f37(x2611,x2612,x2613,x2614,x2615)),f7(x2611,f38(x2611,x2612,x2613,x2614,x2615))))))
% 0.88/0.99  [213]~P1(x2131)+~P6(x2134)+~P7(x2134,x2133)+~P7(f33(x2134),x2132)+P7(x2131,f46(x2132,x2133))+~E(f49(x2134),x2131)
% 0.88/0.99  [234]~P1(x2342)+~P1(x2344)+~P1(x2341)+~P1(x2343)+E(x2341,x2342)+~E(f47(f47(x2343,x2343),f47(x2343,x2341)),f47(f47(x2344,x2344),f47(x2344,x2342)))
% 0.88/0.99  [244]~P1(x2442)+~P1(x2441)+E(x2441,x2442)+~P1(x2443)+~P12(x2444)+~P7(f47(f47(x2443,x2443),f47(x2443,x2442)),x2444)+~P7(f47(f47(x2443,x2443),f47(x2443,x2441)),x2444)
% 0.88/0.99  [249]~P1(x2495)+~P1(x2494)+~P1(x2493)+~P1(x2491)+P7(x2491,f51(x2492))+~P7(f47(f47(x2494,x2494),f47(x2494,f47(f47(x2495,x2495),f47(x2495,x2493)))),x2492)+~E(x2491,f47(f47(x2493,x2493),f47(x2493,f47(f47(x2494,x2494),f47(x2494,x2495)))))
% 0.88/0.99  [250]~P1(x2505)+~P1(x2504)+~P1(x2503)+~P1(x2501)+P7(x2501,f45(x2502))+~P7(f47(f47(x2503,x2503),f47(x2503,f47(f47(x2505,x2505),f47(x2505,x2504)))),x2502)+~E(x2501,f47(f47(x2503,x2503),f47(x2503,f47(f47(x2504,x2504),f47(x2504,x2505)))))
% 0.88/0.99  [245]~P1(x2455)+~P1(x2454)+~P1(x2451)+~P1(x2456)+P7(x2451,f8(x2452,x2453))+~P7(f47(f47(x2456,x2456),f47(x2456,x2455)),x2453)+~P7(f47(f47(x2454,x2454),f47(x2454,x2456)),x2452)+~E(x2451,f47(f47(x2454,x2454),f47(x2454,x2455)))
% 0.88/0.99  %EqnAxiom
% 0.88/0.99  [1]E(x11,x11)
% 0.88/0.99  [2]E(x22,x21)+~E(x21,x22)
% 0.88/0.99  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.88/0.99  [4]~E(x41,x42)+E(f47(x41,x43),f47(x42,x43))
% 0.88/0.99  [5]~E(x51,x52)+E(f47(x53,x51),f47(x53,x52))
% 0.88/0.99  [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 0.88/0.99  [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 0.88/0.99  [8]~E(x81,x82)+E(f31(x81,x83,x84),f31(x82,x83,x84))
% 0.88/0.99  [9]~E(x91,x92)+E(f31(x93,x91,x94),f31(x93,x92,x94))
% 0.88/0.99  [10]~E(x101,x102)+E(f31(x103,x104,x101),f31(x103,x104,x102))
% 0.88/0.99  [11]~E(x111,x112)+E(f38(x111,x113,x114,x115,x116),f38(x112,x113,x114,x115,x116))
% 0.88/0.99  [12]~E(x121,x122)+E(f38(x123,x121,x124,x125,x126),f38(x123,x122,x124,x125,x126))
% 0.88/0.99  [13]~E(x131,x132)+E(f38(x133,x134,x131,x135,x136),f38(x133,x134,x132,x135,x136))
% 0.88/0.99  [14]~E(x141,x142)+E(f38(x143,x144,x145,x141,x146),f38(x143,x144,x145,x142,x146))
% 0.88/0.99  [15]~E(x151,x152)+E(f38(x153,x154,x155,x156,x151),f38(x153,x154,x155,x156,x152))
% 0.88/0.99  [16]~E(x161,x162)+E(f11(x161),f11(x162))
% 0.88/0.99  [17]~E(x171,x172)+E(f22(x171),f22(x172))
% 0.88/0.99  [18]~E(x181,x182)+E(f24(x181),f24(x182))
% 0.88/0.99  [19]~E(x191,x192)+E(f33(x191),f33(x192))
% 0.88/0.99  [20]~E(x201,x202)+E(f40(x201,x203),f40(x202,x203))
% 0.88/0.99  [21]~E(x211,x212)+E(f40(x213,x211),f40(x213,x212))
% 0.88/0.99  [22]~E(x221,x222)+E(f23(x221),f23(x222))
% 0.88/0.99  [23]~E(x231,x232)+E(f28(x231),f28(x232))
% 0.88/0.99  [24]~E(x241,x242)+E(f45(x241),f45(x242))
% 0.88/0.99  [25]~E(x251,x252)+E(f49(x251),f49(x252))
% 0.88/0.99  [26]~E(x261,x262)+E(f53(x261),f53(x262))
% 0.88/0.99  [27]~E(x271,x272)+E(f50(x271),f50(x272))
% 0.88/0.99  [28]~E(x281,x282)+E(f5(x281),f5(x282))
% 0.88/0.99  [29]~E(x291,x292)+E(f12(x291),f12(x292))
% 0.88/0.99  [30]~E(x301,x302)+E(f25(x301),f25(x302))
% 0.88/0.99  [31]~E(x311,x312)+E(f8(x311,x313),f8(x312,x313))
% 0.88/0.99  [32]~E(x321,x322)+E(f8(x323,x321),f8(x323,x322))
% 0.88/0.99  [33]~E(x331,x332)+E(f36(x331,x333,x334),f36(x332,x333,x334))
% 0.88/0.99  [34]~E(x341,x342)+E(f36(x343,x341,x344),f36(x343,x342,x344))
% 0.88/0.99  [35]~E(x351,x352)+E(f36(x353,x354,x351),f36(x353,x354,x352))
% 0.88/0.99  [36]~E(x361,x362)+E(f32(x361,x363,x364),f32(x362,x363,x364))
% 0.88/0.99  [37]~E(x371,x372)+E(f32(x373,x371,x374),f32(x373,x372,x374))
% 0.88/0.99  [38]~E(x381,x382)+E(f32(x383,x384,x381),f32(x383,x384,x382))
% 0.88/0.99  [39]~E(x391,x392)+E(f19(x391,x393),f19(x392,x393))
% 0.88/0.99  [40]~E(x401,x402)+E(f19(x403,x401),f19(x403,x402))
% 0.88/0.99  [41]~E(x411,x412)+E(f39(x411,x413),f39(x412,x413))
% 0.88/0.99  [42]~E(x421,x422)+E(f39(x423,x421),f39(x423,x422))
% 0.88/0.99  [43]~E(x431,x432)+E(f29(x431),f29(x432))
% 0.88/0.99  [44]~E(x441,x442)+E(f14(x441,x443),f14(x442,x443))
% 0.88/0.99  [45]~E(x451,x452)+E(f14(x453,x451),f14(x453,x452))
% 0.88/0.99  [46]~E(x461,x462)+E(f46(x461,x463),f46(x462,x463))
% 0.88/0.99  [47]~E(x471,x472)+E(f46(x473,x471),f46(x473,x472))
% 0.88/0.99  [48]~E(x481,x482)+E(f35(x481,x483,x484),f35(x482,x483,x484))
% 0.88/0.99  [49]~E(x491,x492)+E(f35(x493,x491,x494),f35(x493,x492,x494))
% 0.88/0.99  [50]~E(x501,x502)+E(f35(x503,x504,x501),f35(x503,x504,x502))
% 0.88/0.99  [51]~E(x511,x512)+E(f34(x511,x513),f34(x512,x513))
% 0.88/0.99  [52]~E(x521,x522)+E(f34(x523,x521),f34(x523,x522))
% 0.88/0.99  [53]~E(x531,x532)+E(f6(x531),f6(x532))
% 0.88/0.99  [54]~E(x541,x542)+E(f37(x541,x543,x544,x545,x546),f37(x542,x543,x544,x545,x546))
% 0.88/0.99  [55]~E(x551,x552)+E(f37(x553,x551,x554,x555,x556),f37(x553,x552,x554,x555,x556))
% 0.88/0.99  [56]~E(x561,x562)+E(f37(x563,x564,x561,x565,x566),f37(x563,x564,x562,x565,x566))
% 0.88/0.99  [57]~E(x571,x572)+E(f37(x573,x574,x575,x571,x576),f37(x573,x574,x575,x572,x576))
% 0.88/0.99  [58]~E(x581,x582)+E(f37(x583,x584,x585,x586,x581),f37(x583,x584,x585,x586,x582))
% 0.88/0.99  [59]~E(x591,x592)+E(f48(x591,x593),f48(x592,x593))
% 0.88/0.99  [60]~E(x601,x602)+E(f48(x603,x601),f48(x603,x602))
% 0.88/0.99  [61]~E(x611,x612)+E(f51(x611),f51(x612))
% 0.88/0.99  [62]~E(x621,x622)+E(f20(x621,x623),f20(x622,x623))
% 0.88/0.99  [63]~E(x631,x632)+E(f20(x633,x631),f20(x633,x632))
% 0.88/0.99  [64]~E(x641,x642)+E(f16(x641,x643),f16(x642,x643))
% 0.88/0.99  [65]~E(x651,x652)+E(f16(x653,x651),f16(x653,x652))
% 0.88/0.99  [66]~E(x661,x662)+E(f18(x661,x663),f18(x662,x663))
% 0.88/0.99  [67]~E(x671,x672)+E(f18(x673,x671),f18(x673,x672))
% 0.88/0.99  [68]~E(x681,x682)+E(f52(x681),f52(x682))
% 0.88/0.99  [69]~E(x691,x692)+E(f30(x691,x693),f30(x692,x693))
% 0.88/0.99  [70]~E(x701,x702)+E(f30(x703,x701),f30(x703,x702))
% 0.88/0.99  [71]~E(x711,x712)+E(f15(x711,x713),f15(x712,x713))
% 0.88/0.99  [72]~E(x721,x722)+E(f15(x723,x721),f15(x723,x722))
% 0.88/0.99  [73]~E(x731,x732)+E(f26(x731,x733),f26(x732,x733))
% 0.88/0.99  [74]~E(x741,x742)+E(f26(x743,x741),f26(x743,x742))
% 0.88/0.99  [75]~E(x751,x752)+E(f27(x751,x753,x754),f27(x752,x753,x754))
% 0.88/0.99  [76]~E(x761,x762)+E(f27(x763,x761,x764),f27(x763,x762,x764))
% 0.88/0.99  [77]~E(x771,x772)+E(f27(x773,x774,x771),f27(x773,x774,x772))
% 0.88/0.99  [78]~E(x781,x782)+E(f10(x781,x783),f10(x782,x783))
% 0.88/0.99  [79]~E(x791,x792)+E(f10(x793,x791),f10(x793,x792))
% 0.88/0.99  [80]~E(x801,x802)+E(f9(x801),f9(x802))
% 0.88/0.99  [81]~E(x811,x812)+E(f42(x811,x813),f42(x812,x813))
% 0.88/0.99  [82]~E(x821,x822)+E(f42(x823,x821),f42(x823,x822))
% 0.88/0.99  [83]~E(x831,x832)+E(f21(x831,x833),f21(x832,x833))
% 0.88/0.99  [84]~E(x841,x842)+E(f21(x843,x841),f21(x843,x842))
% 0.88/0.99  [85]~E(x851,x852)+E(f43(x851,x853),f43(x852,x853))
% 0.88/0.99  [86]~E(x861,x862)+E(f43(x863,x861),f43(x863,x862))
% 0.88/0.99  [87]~E(x871,x872)+E(f17(x871,x873),f17(x872,x873))
% 0.88/0.99  [88]~E(x881,x882)+E(f17(x883,x881),f17(x883,x882))
% 0.88/0.99  [89]~E(x891,x892)+E(f41(x891,x893),f41(x892,x893))
% 0.88/0.99  [90]~E(x901,x902)+E(f41(x903,x901),f41(x903,x902))
% 0.88/0.99  [91]~P1(x911)+P1(x912)+~E(x911,x912)
% 0.88/0.99  [92]~P6(x921)+P6(x922)+~E(x921,x922)
% 0.88/1.00  [93]~P2(x931)+P2(x932)+~E(x931,x932)
% 0.88/1.00  [94]P7(x942,x943)+~E(x941,x942)+~P7(x941,x943)
% 0.88/1.00  [95]P7(x953,x952)+~E(x951,x952)+~P7(x953,x951)
% 0.88/1.00  [96]P8(x962,x963,x964)+~E(x961,x962)+~P8(x961,x963,x964)
% 0.88/1.00  [97]P8(x973,x972,x974)+~E(x971,x972)+~P8(x973,x971,x974)
% 0.88/1.00  [98]P8(x983,x984,x982)+~E(x981,x982)+~P8(x983,x984,x981)
% 0.88/1.00  [99]P4(x992,x993)+~E(x991,x992)+~P4(x991,x993)
% 0.88/1.00  [100]P4(x1003,x1002)+~E(x1001,x1002)+~P4(x1003,x1001)
% 0.88/1.00  [101]~P9(x1011)+P9(x1012)+~E(x1011,x1012)
% 0.88/1.00  [102]~P12(x1021)+P12(x1022)+~E(x1021,x1022)
% 0.88/1.00  [103]~P10(x1031)+P10(x1032)+~E(x1031,x1032)
% 0.88/1.00  [104]P13(x1042,x1043)+~E(x1041,x1042)+~P13(x1041,x1043)
% 0.88/1.00  [105]P13(x1053,x1052)+~E(x1051,x1052)+~P13(x1053,x1051)
% 0.88/1.00  [106]P5(x1062,x1063,x1064,x1065,x1066)+~E(x1061,x1062)+~P5(x1061,x1063,x1064,x1065,x1066)
% 0.88/1.00  [107]P5(x1073,x1072,x1074,x1075,x1076)+~E(x1071,x1072)+~P5(x1073,x1071,x1074,x1075,x1076)
% 0.88/1.00  [108]P5(x1083,x1084,x1082,x1085,x1086)+~E(x1081,x1082)+~P5(x1083,x1084,x1081,x1085,x1086)
% 0.88/1.00  [109]P5(x1093,x1094,x1095,x1092,x1096)+~E(x1091,x1092)+~P5(x1093,x1094,x1095,x1091,x1096)
% 0.88/1.00  [110]P5(x1103,x1104,x1105,x1106,x1102)+~E(x1101,x1102)+~P5(x1103,x1104,x1105,x1106,x1101)
% 0.88/1.00  [111]P11(x1112,x1113)+~E(x1111,x1112)+~P11(x1111,x1113)
% 0.88/1.00  [112]P11(x1123,x1122)+~E(x1121,x1122)+~P11(x1123,x1121)
% 0.88/1.00  [113]P3(x1132,x1133)+~E(x1131,x1132)+~P3(x1131,x1133)
% 0.88/1.00  [114]P3(x1143,x1142)+~E(x1141,x1142)+~P3(x1143,x1141)
% 0.88/1.00  
% 0.88/1.00  %-------------------------------------------
% 0.88/1.00  cnf(267,plain,
% 0.88/1.00     (~P7(x2671,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(270,plain,
% 0.88/1.00     (~P7(x2701,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(273,plain,
% 0.88/1.00     (~P7(x2731,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(275,plain,
% 0.88/1.00     (P3(a4,x2751)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,148,147,146,144,205,204,169])).
% 0.88/1.00  cnf(276,plain,
% 0.88/1.00     (~P7(x2761,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(278,plain,
% 0.88/1.00     (P3(x2781,a4)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,148,147,146,144,205,204,169,168])).
% 0.88/1.00  cnf(279,plain,
% 0.88/1.00     (~P7(x2791,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(281,plain,
% 0.88/1.00     (P13(a4,x2811)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,148,147,146,144,205,204,169,168,167])).
% 0.88/1.00  cnf(282,plain,
% 0.88/1.00     (~P7(x2821,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(285,plain,
% 0.88/1.00     (~P7(x2851,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(287,plain,
% 0.88/1.00     (~P7(x2871,f53(a4))),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,148,147,146,144,205,204,169,168,167,199,198])).
% 0.88/1.00  cnf(288,plain,
% 0.88/1.00     (~P7(x2881,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(291,plain,
% 0.88/1.00     (~P7(x2911,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(294,plain,
% 0.88/1.00     (~P7(x2941,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(299,plain,
% 0.88/1.00     (~P7(x2991,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(302,plain,
% 0.88/1.00     (~P7(x3021,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(305,plain,
% 0.88/1.00     (~P7(x3051,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(308,plain,
% 0.88/1.00     (~P7(x3081,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(311,plain,
% 0.88/1.00     (~P7(x3111,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(314,plain,
% 0.88/1.00     (~P7(x3141,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(317,plain,
% 0.88/1.00     (~P7(x3171,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(320,plain,
% 0.88/1.00     (~P7(x3201,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(322,plain,
% 0.88/1.00     (~E(a1,a4)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95])).
% 0.88/1.00  cnf(323,plain,
% 0.88/1.00     (~P7(x3231,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(324,plain,
% 0.88/1.00     (~E(a4,a2)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94])).
% 0.88/1.00  cnf(325,plain,
% 0.88/1.00     (~P13(a1,a4)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171])).
% 0.88/1.00  cnf(326,plain,
% 0.88/1.00     (~P7(x3261,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(328,plain,
% 0.88/1.00     (~P13(a2,a4)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163])).
% 0.88/1.00  cnf(330,plain,
% 0.88/1.00     (P11(a4,a2)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156])).
% 0.88/1.00  cnf(334,plain,
% 0.88/1.00     (E(a4,f10(a4,x3341))),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,326,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156,137,203])).
% 0.88/1.00  cnf(335,plain,
% 0.88/1.00     (~P7(x3351,a4)),
% 0.88/1.00     inference(rename_variables,[],[122])).
% 0.88/1.00  cnf(337,plain,
% 0.88/1.00     (~E(a4,a1)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,326,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156,137,203,2])).
% 0.88/1.00  cnf(398,plain,
% 0.88/1.00     (E(f37(x3981,x3982,x3983,x3984,a4),f37(x3981,x3982,x3983,x3984,f10(a4,x3985)))),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,326,335,115,116,117,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156,137,203,2,138,124,123,201,200,170,160,140,135,134,133,132,131,130,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58])).
% 0.88/1.00  cnf(411,plain,
% 0.88/1.00     (E(f14(x4111,a4),f14(x4111,f10(a4,x4112)))),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,326,335,115,116,117,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156,137,203,2,138,124,123,201,200,170,160,140,135,134,133,132,131,130,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45])).
% 0.88/1.00  cnf(455,plain,
% 0.88/1.00     (P1(f14(a1,a4))),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,326,335,115,116,117,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156,137,203,2,138,124,123,201,200,170,160,140,135,134,133,132,131,130,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,162,152])).
% 0.88/1.00  cnf(459,plain,
% 0.88/1.00     (E(f47(f47(f23(a2),f23(a2)),f47(f23(a2),f28(a2))),a2)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,326,335,115,116,117,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156,137,203,2,138,124,123,201,200,170,160,140,135,134,133,132,131,130,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,162,152,242,215])).
% 0.88/1.00  cnf(466,plain,
% 0.88/1.00     (~P4(f47(f47(f23(a2),f23(a2)),f47(f23(a2),f28(a2))),x4661)),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,326,335,115,116,117,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156,137,203,2,138,124,123,201,200,170,160,140,135,134,133,132,131,130,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,162,152,242,215,105,104,103,102,100,99])).
% 0.88/1.00  cnf(470,plain,
% 0.88/1.00     (P7(a4,f53(a54))),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,326,335,115,116,117,118,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156,137,203,2,138,124,123,201,200,170,160,140,135,134,133,132,131,130,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,162,152,242,215,105,104,103,102,100,99,93,91,3,187])).
% 0.88/1.00  cnf(480,plain,
% 0.88/1.00     (~P7(a1,f47(a4,a4))),
% 0.88/1.00     inference(scs_inference,[],[121,122,267,270,273,276,279,282,285,288,291,294,299,302,305,308,311,314,317,320,323,326,335,115,116,117,118,119,148,147,146,144,205,204,169,168,167,199,198,197,236,235,239,237,232,231,254,253,257,256,95,94,171,163,156,137,203,2,138,124,123,201,200,170,160,140,135,134,133,132,131,130,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,162,152,242,215,105,104,103,102,100,99,93,91,3,187,166,165,158,206,191])).
% 0.88/1.00  cnf(542,plain,
% 0.88/1.00     (E(f14(x5421,a4),f14(x5421,f10(a4,x5422)))),
% 0.88/1.00     inference(rename_variables,[],[411])).
% 0.88/1.00  cnf(563,plain,
% 0.88/1.00     (P1(f47(x5631,x5632))),
% 0.88/1.00     inference(rename_variables,[],[119])).
% 0.88/1.00  cnf(574,plain,
% 0.88/1.00     ($false),
% 0.88/1.00     inference(scs_inference,[],[121,122,119,563,117,118,115,466,398,411,542,287,325,275,278,281,324,455,459,334,480,470,322,328,330,337,252,251,114,196,147,140,167,156,166,165,158,219,198,104,191,159,218,230,220,2,95,203,113,111,91]),
% 0.88/1.00     ['proof']).
% 0.88/1.00  % SZS output end Proof
% 0.88/1.00  % Total time :0.320000s
%------------------------------------------------------------------------------