TSTP Solution File: SET041-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET041-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 14:28:08 EDT 2023
% Result : Unsatisfiable 0.90s 1.02s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET041-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34 % Computer : n018.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 12:31:15 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.90/1.01 %-------------------------------------------
% 0.90/1.01 % File :CSE---1.6
% 0.90/1.01 % Problem :theBenchmark
% 0.90/1.01 % Transform :cnf
% 0.90/1.01 % Format :tptp:raw
% 0.90/1.01 % Command :java -jar mcs_scs.jar %d %s
% 0.90/1.01
% 0.90/1.01 % Result :Theorem 0.350000s
% 0.90/1.01 % Output :CNFRefutation 0.350000s
% 0.90/1.01 %-------------------------------------------
% 0.90/1.01 %--------------------------------------------------------------------------
% 0.90/1.01 % File : SET041-3 : TPTP v8.1.2. Released v1.0.0.
% 0.90/1.01 % Domain : Set Theory
% 0.90/1.01 % Problem : Properties of apply for composition of functions, 3 of 3
% 0.90/1.01 % Version : [BL+86] axioms : Augmented.
% 0.90/1.01 % English :
% 0.90/1.01
% 0.90/1.01 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.90/1.01 % Source : [BL+86]
% 0.90/1.01 % Names : Lemma 26 [BL+86]
% 0.90/1.01
% 0.90/1.01 % Status : Unsatisfiable
% 0.90/1.01 % Rating : 0.14 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.36 v6.0.0, 0.40 v5.5.0, 0.65 v5.3.0, 0.67 v5.2.0, 0.56 v5.1.0, 0.65 v5.0.0, 0.50 v4.1.0, 0.54 v4.0.1, 0.55 v4.0.0, 0.45 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.42 v3.3.0, 0.50 v3.2.0, 0.46 v3.1.0, 0.36 v2.7.0, 0.42 v2.6.0, 0.50 v2.5.0, 0.58 v2.4.0, 0.33 v2.3.0, 0.44 v2.2.1, 0.56 v2.2.0, 0.44 v2.1.0, 0.56 v2.0.0
% 0.90/1.01 % Syntax : Number of clauses : 169 ( 19 unt; 20 nHn; 138 RR)
% 0.90/1.01 % Number of literals : 424 ( 60 equ; 239 neg)
% 0.90/1.01 % Maximal clause size : 8 ( 2 avg)
% 0.90/1.01 % Maximal term depth : 4 ( 1 avg)
% 0.90/1.01 % Number of predicates : 14 ( 13 usr; 0 prp; 1-5 aty)
% 0.90/1.01 % Number of functors : 62 ( 62 usr; 9 con; 0-5 aty)
% 0.90/1.01 % Number of variables : 381 ( 36 sgn)
% 0.90/1.01 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.90/1.01
% 0.90/1.01 % Comments :
% 0.90/1.01 %--------------------------------------------------------------------------
% 0.90/1.01 %----Include Godel's set axioms
% 0.90/1.01 include('Axioms/SET003-0.ax').
% 0.90/1.01 %--------------------------------------------------------------------------
% 0.90/1.01 %----Previously proved lemmas are added at each step
% 0.90/1.01 cnf(first_components_are_equal,axiom,
% 0.90/1.02 ( ~ little_set(X)
% 0.90/1.02 | ~ little_set(U)
% 0.90/1.02 | ordered_pair(X,Y) != ordered_pair(U,V)
% 0.90/1.02 | X = U ) ).
% 0.90/1.02
% 0.90/1.02 cnf(left_cancellation,axiom,
% 0.90/1.02 ( ~ little_set(X)
% 0.90/1.02 | ~ little_set(Y)
% 0.90/1.02 | non_ordered_pair(Z,X) != non_ordered_pair(Z,Y)
% 0.90/1.02 | X = Y ) ).
% 0.90/1.02
% 0.90/1.02 cnf(second_components_are_equal,axiom,
% 0.90/1.02 ( ~ little_set(X)
% 0.90/1.02 | ~ little_set(Y)
% 0.90/1.02 | ~ little_set(U)
% 0.90/1.02 | ~ little_set(V)
% 0.90/1.02 | ordered_pair(X,Y) != ordered_pair(U,V)
% 0.90/1.02 | Y = V ) ).
% 0.90/1.02
% 0.90/1.02 cnf(two_sets_equal,axiom,
% 0.90/1.02 ( ~ subset(X,Y)
% 0.90/1.02 | ~ subset(Y,X)
% 0.90/1.02 | X = Y ) ).
% 0.90/1.02
% 0.90/1.02 cnf(property_of_first,axiom,
% 0.90/1.02 ( ~ little_set(X)
% 0.90/1.02 | ~ little_set(Y)
% 0.90/1.02 | first(ordered_pair(X,Y)) = X ) ).
% 0.90/1.02
% 0.90/1.02 cnf(property_of_second,axiom,
% 0.90/1.02 ( ~ little_set(X)
% 0.90/1.02 | ~ little_set(Y)
% 0.90/1.02 | second(ordered_pair(X,Y)) = Y ) ).
% 0.90/1.02
% 0.90/1.02 cnf(first_component_is_small,axiom,
% 0.90/1.02 ( ~ ordered_pair_predicate(X)
% 0.90/1.02 | little_set(first(X)) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(second_component_is_small,axiom,
% 0.90/1.02 ( ~ ordered_pair_predicate(X)
% 0.90/1.02 | little_set(second(X)) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(property_of_singleton_sets,axiom,
% 0.90/1.02 ( ~ little_set(X)
% 0.90/1.02 | member(X,singleton_set(X)) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(ordered_pairs_are_small1,axiom,
% 0.90/1.02 little_set(ordered_pair(X,Y)) ).
% 0.90/1.02
% 0.90/1.02 cnf(ordered_pairs_are_small2,axiom,
% 0.90/1.02 ( ~ ordered_pair_predicate(X)
% 0.90/1.02 | little_set(X) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(containment_is_transitive,axiom,
% 0.90/1.02 ( ~ subset(X,Y)
% 0.90/1.02 | ~ subset(Y,Z)
% 0.90/1.02 | subset(X,Z) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(image_and_apply1,axiom,
% 0.90/1.02 subset(apply(Xf,Y),sigma(image(singleton_set(Y),Xf))) ).
% 0.90/1.02
% 0.90/1.02 cnf(image_and_apply2,axiom,
% 0.90/1.02 subset(image(singleton_set(Y),Xf),apply(Xf,Y)) ).
% 0.90/1.02
% 0.90/1.02 cnf(function_values_are_small,axiom,
% 0.90/1.02 ( ~ function(Y)
% 0.90/1.02 | little_set(apply(Y,X)) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(composition_is_a_relation,axiom,
% 0.90/1.02 relation(compose(Y,X)) ).
% 0.90/1.02
% 0.90/1.02 cnf(range_of_composition,axiom,
% 0.90/1.02 subset(range_of(compose(Y,X)),range_of(Y)) ).
% 0.90/1.02
% 0.90/1.02 cnf(domain_of_composition,axiom,
% 0.90/1.02 ( ~ subset(range_of(X),domain_of(Y))
% 0.90/1.02 | domain_of(X) = domain_of(compose(Y,X)) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(composition_is_a_function,axiom,
% 0.90/1.02 ( ~ function(X)
% 0.90/1.02 | ~ function(Y)
% 0.90/1.02 | function(compose(Y,X)) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(maps_for_composition,axiom,
% 0.90/1.02 ( ~ maps(Xf,U,V)
% 0.90/1.02 | ~ maps(Xg,V,W)
% 0.90/1.02 | maps(compose(Xg,Xf),U,W) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(apply_for_functions1,axiom,
% 0.90/1.02 ( ~ little_set(X)
% 0.90/1.02 | ~ little_set(Y)
% 0.90/1.02 | ~ function(Xf)
% 0.90/1.02 | ~ member(ordered_pair(X,Y),Xf)
% 0.90/1.02 | apply(Xf,X) = Y ) ).
% 0.90/1.02
% 0.90/1.02 cnf(apply_for_functions2,axiom,
% 0.90/1.02 ( ~ function(Xf)
% 0.90/1.02 | ~ member(X,domain_of(Xf))
% 0.90/1.02 | apply(Xf,X) != Y
% 0.90/1.02 | member(ordered_pair(X,Y),Xf) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(apply_for_functions3,axiom,
% 0.90/1.02 ( ~ maps(Xf,Xd,Xr)
% 0.90/1.02 | ~ member(X,Xd)
% 0.90/1.02 | member(apply(Xf,X),Xr) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(apply_for_composition1,axiom,
% 0.90/1.02 ( ~ function(Xf)
% 0.90/1.02 | ~ member(X,domain_of(Xf))
% 0.90/1.02 | subset(apply(Xg,apply(Xf,X)),apply(compose(Xg,Xf),X)) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(apply_for_composition2,axiom,
% 0.90/1.02 ( ~ function(Xf)
% 0.90/1.02 | subset(apply(compose(Xg,Xf),X),apply(Xg,apply(Xf,X))) ) ).
% 0.90/1.02
% 0.90/1.02 cnf(a_function,hypothesis,
% 0.90/1.02 function(a_function) ).
% 0.90/1.02
% 0.90/1.02 cnf(member_of_domain,hypothesis,
% 0.90/1.02 member(a,domain_of(a_function)) ).
% 0.90/1.02
% 0.90/1.02 cnf(prove_apply_for_composition3,negated_conjecture,
% 0.90/1.02 apply(another_function,apply(a_function,a)) != apply(compose(another_function,a_function),a) ).
% 0.90/1.02
% 0.90/1.02 %--------------------------------------------------------------------------
% 0.90/1.02 %-------------------------------------------
% 0.90/1.02 % Proof found
% 0.90/1.02 % SZS status Theorem for theBenchmark
% 0.90/1.02 % SZS output start Proof
% 0.90/1.02 %ClaNum:277(EqnAxiom:114)
% 0.90/1.02 %VarNum:1061(SingletonVarNum:368)
% 0.90/1.02 %MaxLitNum:8
% 0.90/1.02 %MaxfuncDepth:5
% 0.90/1.02 %SharedTerms:20
% 0.90/1.02 %goalClause: 127
% 0.90/1.02 %singleGoalClaCount:1
% 0.90/1.02 [115]P1(a1)
% 0.90/1.02 [116]P2(a2)
% 0.90/1.02 [117]P2(a3)
% 0.90/1.02 [118]P6(a5,a1)
% 0.90/1.02 [119]P6(a4,f6(a3))
% 0.90/1.02 [127]~E(f8(f7(a9,a3),a4),f8(a9,f8(a3,a4)))
% 0.90/1.02 [126]~P6(x1261,a5)
% 0.90/1.02 [120]P1(f49(x1201,x1202))
% 0.90/1.02 [121]P8(f7(x1211,x1212))
% 0.90/1.02 [122]P12(f51(f7(x1221,x1222)),f51(x1221))
% 0.90/1.02 [123]P12(f30(f49(x1231,x1231),x1232),f8(x1232,x1231))
% 0.90/1.02 [125]P12(f8(x1251,x1252),f53(f30(f49(x1252,x1252),x1251)))
% 0.90/1.02 [128]~P9(x1281)+P1(x1281)
% 0.90/1.02 [129]~P2(x1291)+P8(x1291)
% 0.90/1.02 [130]~P2(x1301)+P13(x1301)
% 0.90/1.02 [131]~P10(x1311)+P2(x1311)
% 0.90/1.02 [144]~P1(x1441)+P6(x1441,a56)
% 0.90/1.02 [148]P9(x1481)+~P6(x1481,a15)
% 0.90/1.02 [149]P9(x1491)+~P6(x1491,a47)
% 0.90/1.02 [132]P13(x1321)+P1(f13(x1321))
% 0.90/1.02 [133]P13(x1331)+P1(f24(x1331))
% 0.90/1.02 [134]P13(x1341)+P1(f26(x1341))
% 0.90/1.02 [135]P13(x1351)+~E(f26(x1351),f24(x1351))
% 0.90/1.02 [136]~P9(x1361)+P1(f25(x1361))
% 0.90/1.02 [137]~P9(x1371)+P1(f31(x1371))
% 0.90/1.02 [138]~P9(x1381)+P1(f36(x1381))
% 0.90/1.02 [139]~P9(x1391)+P1(f54(x1391))
% 0.90/1.02 [140]~P1(x1401)+P1(f53(x1401))
% 0.90/1.02 [141]~P1(x1411)+P1(f52(x1411))
% 0.90/1.02 [142]~P10(x1421)+P2(f11(x1421))
% 0.90/1.02 [145]P8(x1451)+~P9(f14(x1451))
% 0.90/1.02 [146]P6(f27(x1461),x1461)+E(x1461,a5)
% 0.90/1.02 [147]P3(f27(x1471),x1471)+E(x1471,a5)
% 0.90/1.02 [150]P8(x1501)+P6(f14(x1501),x1501)
% 0.90/1.02 [156]~P6(x1561,a47)+E(f54(x1561),f36(x1561))
% 0.90/1.02 [169]~P6(x1691,a15)+P6(f36(x1691),f54(x1691))
% 0.90/1.02 [170]~P1(x1701)+P6(x1701,f49(x1701,x1701))
% 0.90/1.02 [225]~P9(x2251)+E(f49(f49(f25(x2251),f25(x2251)),f49(f25(x2251),f31(x2251))),x2251)
% 0.90/1.02 [249]P13(x2491)+P6(f49(f49(f13(x2491),f13(x2491)),f49(f13(x2491),f24(x2491))),x2491)
% 0.90/1.02 [250]P13(x2501)+P6(f49(f49(f13(x2501),f13(x2501)),f49(f13(x2501),f26(x2501))),x2501)
% 0.90/1.02 [258]~P6(x2581,a1)+P6(f10(f50(f10(x2581),f10(f49(x2581,x2581)))),a1)
% 0.90/1.02 [151]~P11(x1511,x1512)+~E(x1511,x1512)
% 0.90/1.02 [152]P1(x1521)+~P4(x1522,x1521)
% 0.90/1.02 [153]P1(x1531)+~P6(x1531,x1532)
% 0.90/1.02 [154]P1(x1541)+~P4(x1541,x1542)
% 0.90/1.02 [161]~P11(x1611,x1612)+P12(x1611,x1612)
% 0.90/1.02 [158]E(x1581,x1582)+P1(f16(x1581,x1582))
% 0.90/1.02 [160]P9(x1601)+~P6(x1601,f11(x1602))
% 0.90/1.02 [162]~P2(x1621)+P1(f8(x1621,x1622))
% 0.90/1.02 [168]P12(x1681,x1682)+~P6(x1681,f52(x1682))
% 0.90/1.02 [175]P12(x1751,x1752)+P6(f17(x1751,x1752),x1751)
% 0.90/1.02 [176]P3(x1761,x1762)+P6(f28(x1761,x1762),x1762)
% 0.90/1.02 [177]P3(x1771,x1772)+P6(f28(x1771,x1772),x1771)
% 0.90/1.02 [178]~P6(x1781,x1782)+~P6(x1781,f10(x1782))
% 0.90/1.02 [182]~P6(x1821,f36(x1822))+P1(f37(x1821,x1822))
% 0.90/1.02 [183]~P6(x1831,f36(x1832))+P1(f42(x1831,x1832))
% 0.90/1.02 [184]~P6(x1841,f54(x1842))+P1(f43(x1841,x1842))
% 0.90/1.02 [185]~P6(x1851,f54(x1852))+P1(f44(x1851,x1852))
% 0.90/1.02 [186]~P6(x1861,f55(x1862))+P1(f45(x1861,x1862))
% 0.90/1.02 [187]~P6(x1871,f55(x1872))+P1(f18(x1871,x1872))
% 0.90/1.02 [188]~P6(x1881,f55(x1882))+P1(f19(x1881,x1882))
% 0.90/1.02 [189]~P6(x1891,f48(x1892))+P1(f20(x1891,x1892))
% 0.90/1.02 [190]~P6(x1901,f48(x1902))+P1(f21(x1901,x1902))
% 0.90/1.02 [191]~P6(x1911,f48(x1912))+P1(f22(x1911,x1912))
% 0.90/1.02 [192]~P6(x1921,f6(x1922))+P9(f46(x1921,x1922))
% 0.90/1.02 [193]~P6(x1931,f51(x1932))+P9(f33(x1931,x1932))
% 0.90/1.02 [203]~P6(x2031,f36(x2032))+P6(x2031,f37(x2031,x2032))
% 0.90/1.02 [204]~P6(x2041,f54(x2042))+P6(x2041,f44(x2041,x2042))
% 0.90/1.02 [205]~P6(x2051,f53(x2052))+P6(x2051,f23(x2051,x2052))
% 0.90/1.02 [206]~P6(x2061,f6(x2062))+P6(f46(x2061,x2062),x2062)
% 0.90/1.02 [207]~P6(x2071,f53(x2072))+P6(f23(x2071,x2072),x2072)
% 0.90/1.02 [208]~P6(x2081,f51(x2082))+P6(f33(x2081,x2082),x2082)
% 0.90/1.02 [212]P12(x2121,x2122)+~P6(f17(x2121,x2122),x2122)
% 0.90/1.02 [220]~P4(x2202,x2201)+P7(x2201,f12(x2202,x2202),x2202)
% 0.90/1.02 [194]~P6(x1941,f6(x1942))+E(f36(f46(x1941,x1942)),x1941)
% 0.90/1.02 [195]~P6(x1951,f51(x1952))+E(f54(f33(x1951,x1952)),x1951)
% 0.90/1.02 [209]~P12(f51(x2092),f6(x2091))+E(f6(f7(x2091,x2092)),f6(x2092))
% 0.90/1.02 [253]~P6(x2531,f11(x2532))+P6(f49(f49(f54(x2531),f54(x2531)),f49(f54(x2531),f36(x2531))),x2532)
% 0.90/1.02 [256]~P6(x2561,f36(x2562))+E(f49(f49(f37(x2561,x2562),f37(x2561,x2562)),f49(f37(x2561,x2562),f42(x2561,x2562))),x2562)
% 0.90/1.02 [257]~P6(x2571,f54(x2572))+E(f49(f49(f43(x2571,x2572),f43(x2571,x2572)),f49(f43(x2571,x2572),f44(x2571,x2572))),x2572)
% 0.90/1.02 [263]~P6(x2631,f55(x2632))+E(f49(f49(f45(x2631,x2632),f45(x2631,x2632)),f49(f45(x2631,x2632),f49(f49(f18(x2631,x2632),f18(x2631,x2632)),f49(f18(x2631,x2632),f19(x2631,x2632))))),x2631)
% 0.90/1.02 [264]~P6(x2641,f48(x2642))+E(f49(f49(f20(x2641,x2642),f20(x2641,x2642)),f49(f20(x2641,x2642),f49(f49(f21(x2641,x2642),f21(x2641,x2642)),f49(f21(x2641,x2642),f22(x2641,x2642))))),x2641)
% 0.90/1.02 [272]~P6(x2721,f55(x2722))+P6(f49(f49(f18(x2721,x2722),f18(x2721,x2722)),f49(f18(x2721,x2722),f49(f49(f19(x2721,x2722),f19(x2721,x2722)),f49(f19(x2721,x2722),f45(x2721,x2722))))),x2722)
% 0.90/1.02 [273]~P6(x2731,f48(x2732))+P6(f49(f49(f20(x2731,x2732),f20(x2731,x2732)),f49(f20(x2731,x2732),f49(f49(f22(x2731,x2732),f22(x2731,x2732)),f49(f22(x2731,x2732),f21(x2731,x2732))))),x2732)
% 0.90/1.02 [217]P2(x2171)+~P7(x2171,x2172,x2173)
% 0.90/1.02 [199]P9(x1991)+~P6(x1991,f12(x1992,x1993))
% 0.90/1.02 [210]P6(x2101,x2102)+~P6(x2101,f50(x2103,x2102))
% 0.90/1.02 [211]P6(x2111,x2112)+~P6(x2111,f50(x2112,x2113))
% 0.90/1.02 [214]P6(f36(x2141),x2142)+~P6(x2141,f12(x2142,x2143))
% 0.90/1.02 [215]P6(f54(x2151),x2152)+~P6(x2151,f12(x2153,x2152))
% 0.90/1.02 [218]~P7(x2181,x2182,x2183)+E(f6(x2181),x2182)
% 0.90/1.02 [221]~P7(x2211,x2213,x2212)+P12(f51(x2211),x2212)
% 0.90/1.02 [234]~P6(x2341,f7(x2342,x2343))+P1(f34(x2341,x2342,x2343))
% 0.90/1.02 [235]~P6(x2351,f7(x2352,x2353))+P1(f38(x2351,x2352,x2353))
% 0.90/1.02 [236]~P6(x2361,f7(x2362,x2363))+P1(f39(x2361,x2362,x2363))
% 0.90/1.02 [237]~P6(x2371,f30(x2372,x2373))+P9(f29(x2371,x2372,x2373))
% 0.90/1.03 [238]~P6(x2381,f8(x2382,x2383))+P9(f35(x2381,x2382,x2383))
% 0.90/1.03 [243]~P6(x2431,f30(x2432,x2433))+P6(f29(x2431,x2432,x2433),x2433)
% 0.90/1.03 [244]~P6(x2441,f8(x2442,x2443))+P6(f35(x2441,x2442,x2443),x2442)
% 0.90/1.03 [239]~P6(x2391,f8(x2392,x2393))+E(f36(f35(x2391,x2392,x2393)),x2393)
% 0.90/1.03 [240]~P6(x2401,f30(x2402,x2403))+E(f54(f29(x2401,x2402,x2403)),x2401)
% 0.90/1.03 [242]~P2(x2422)+P12(f8(f7(x2421,x2422),x2423),f8(x2421,f8(x2422,x2423)))
% 0.90/1.03 [254]~P6(x2541,f8(x2542,x2543))+P6(x2541,f54(f35(x2541,x2542,x2543)))
% 0.90/1.03 [255]~P6(x2551,f30(x2552,x2553))+P6(f36(f29(x2551,x2552,x2553)),x2552)
% 0.90/1.03 [262]~P6(x2621,f7(x2622,x2623))+E(f49(f49(f34(x2621,x2622,x2623),f34(x2621,x2622,x2623)),f49(f34(x2621,x2622,x2623),f38(x2621,x2622,x2623))),x2621)
% 0.90/1.03 [269]~P6(x2691,f7(x2692,x2693))+P6(f49(f49(f34(x2691,x2692,x2693),f34(x2691,x2692,x2693)),f49(f34(x2691,x2692,x2693),f39(x2691,x2692,x2693))),x2692)
% 0.90/1.03 [270]~P6(x2701,f7(x2702,x2703))+P6(f49(f49(f39(x2701,x2702,x2703),f39(x2701,x2702,x2703)),f49(f39(x2701,x2702,x2703),f38(x2701,x2702,x2703))),x2703)
% 0.90/1.03 [267]P4(x2671,x2672)+~P5(x2673,x2674,x2675,x2671,x2672)
% 0.90/1.03 [268]P4(x2681,x2682)+~P5(x2683,x2681,x2682,x2684,x2685)
% 0.90/1.03 [271]P7(x2711,x2712,x2713)+~P5(x2711,x2712,x2714,x2713,x2715)
% 0.90/1.03 [143]~P8(x1431)+~P13(x1431)+P2(x1431)
% 0.90/1.03 [155]~P2(x1551)+P10(x1551)+~P2(f11(x1551))
% 0.90/1.03 [157]~P1(x1571)+P6(f32(x1571),x1571)+E(x1571,a5)
% 0.90/1.03 [241]~P1(x2411)+E(x2411,a5)+P6(f49(f49(x2411,x2411),f49(x2411,f32(x2411))),a2)
% 0.90/1.03 [159]~P6(x1591,x1592)+P9(x1591)+~P8(x1592)
% 0.90/1.03 [163]P11(x1631,x1632)+~P12(x1631,x1632)+E(x1631,x1632)
% 0.90/1.03 [171]~P12(x1712,x1711)+~P12(x1711,x1712)+E(x1711,x1712)
% 0.90/1.03 [165]~P1(x1651)+P6(x1651,x1652)+P6(x1651,f10(x1652))
% 0.90/1.03 [166]~P1(x1661)+~P2(x1662)+P1(f30(x1661,x1662))
% 0.90/1.03 [167]~P2(x1671)+~P2(x1672)+P2(f7(x1671,x1672))
% 0.90/1.03 [172]~P1(x1721)+~P12(x1721,x1722)+P6(x1721,f52(x1722))
% 0.90/1.03 [213]E(x2131,x2132)+P6(f16(x2131,x2132),x2132)+P6(f16(x2131,x2132),x2131)
% 0.90/1.03 [227]E(x2271,x2272)+~P6(f16(x2271,x2272),x2272)+~P6(f16(x2271,x2272),x2271)
% 0.90/1.03 [228]~P1(x2282)+~P1(x2281)+E(f36(f49(f49(x2281,x2281),f49(x2281,x2282))),x2281)
% 0.90/1.03 [229]~P1(x2292)+~P1(x2291)+E(f54(f49(f49(x2291,x2291),f49(x2291,x2292))),x2292)
% 0.90/1.03 [179]~P12(x1793,x1792)+P6(x1791,x1792)+~P6(x1791,x1793)
% 0.90/1.03 [180]~P12(x1801,x1803)+P12(x1801,x1802)+~P12(x1803,x1802)
% 0.90/1.03 [201]~P3(x2013,x2012)+~P6(x2011,x2012)+~P6(x2011,x2013)
% 0.90/1.03 [173]~E(x1731,x1733)+~P1(x1731)+P6(x1731,f49(x1732,x1733))
% 0.90/1.03 [174]~E(x1741,x1742)+~P1(x1741)+P6(x1741,f49(x1742,x1743))
% 0.90/1.03 [196]~P6(x1961,x1963)+~P6(x1963,x1962)+P6(x1961,f53(x1962))
% 0.90/1.03 [200]E(x2001,x2002)+E(x2001,x2003)+~P6(x2001,f49(x2003,x2002))
% 0.90/1.03 [216]~P6(x2161,x2163)+~P6(x2161,x2162)+P6(x2161,f50(x2162,x2163))
% 0.90/1.03 [246]~P2(x2462)+~P6(x2463,f6(x2462))+P12(f8(x2461,f8(x2462,x2463)),f8(f7(x2461,x2462),x2463))
% 0.90/1.03 [230]~P7(x2301,x2304,x2303)+~P6(x2302,x2304)+P6(f8(x2301,x2302),x2303)
% 0.90/1.03 [251]~P7(x2512,x2513,x2515)+~P7(x2511,x2515,x2514)+P7(f7(x2511,x2512),x2513,x2514)
% 0.90/1.03 [164]~P1(x1641)+~P9(x1641)+~E(f54(x1641),f36(x1641))+P6(x1641,a47)
% 0.90/1.03 [202]~P1(x2021)+~P9(x2021)+~P6(f36(x2021),f54(x2021))+P6(x2021,a15)
% 0.90/1.03 [231]~P1(x2312)+~P1(x2311)+P4(x2311,x2312)+~P7(x2312,f12(x2311,x2311),x2311)
% 0.90/1.03 [259]~P1(x2591)+~P9(x2591)+P6(x2591,f11(x2592))+~P6(f49(f49(f54(x2591),f54(x2591)),f49(f54(x2591),f36(x2591))),x2592)
% 0.90/1.03 [181]~P1(x1812)+~P1(x1811)+E(x1811,x1812)+~E(f49(x1813,x1811),f49(x1813,x1812))
% 0.90/1.03 [219]~P2(x2191)+P7(x2191,x2192,x2193)+~E(f6(x2191),x2192)+~P12(f51(x2191),x2193)
% 0.90/1.03 [226]~P1(x2263)+~P1(x2262)+P9(x2261)+~E(x2261,f49(f49(x2262,x2262),f49(x2262,x2263)))
% 0.90/1.03 [245]~P2(x2453)+~E(f8(x2453,x2451),x2452)+~P6(x2451,f6(x2453))+P6(f49(f49(x2451,x2451),f49(x2451,x2452)),x2453)
% 0.90/1.03 [247]~P1(x2472)+~P1(x2471)+E(x2471,x2472)+~E(f49(f49(x2471,x2471),f49(x2471,x2473)),f49(f49(x2472,x2472),f49(x2472,x2474)))
% 0.90/1.03 [274]~P6(x2743,x2746)+~P5(x2741,x2746,x2742,x2747,x2745)+~P6(x2744,x2746)+E(f8(x2741,f8(x2742,f49(f49(x2743,x2743),f49(x2743,x2744)))),f8(x2745,f49(f49(f8(x2741,x2743),f8(x2741,x2743)),f49(f8(x2741,x2743),f8(x2741,x2744)))))
% 0.90/1.03 [197]~P1(x1971)+~P9(x1973)+~P6(x1973,x1972)+P6(x1971,f6(x1972))+~E(x1971,f36(x1973))
% 0.90/1.03 [198]~P1(x1981)+~P9(x1983)+~P6(x1983,x1982)+P6(x1981,f51(x1982))+~E(x1981,f54(x1983))
% 0.90/1.03 [224]~P1(x2241)+~P9(x2241)+~P6(f36(x2241),x2242)+~P6(f54(x2241),x2243)+P6(x2241,f12(x2242,x2243))
% 0.90/1.03 [252]~P1(x2523)+~P1(x2522)+~P2(x2521)+E(f8(x2521,x2522),x2523)+~P6(f49(f49(x2522,x2522),f49(x2522,x2523)),x2521)
% 0.90/1.03 [222]~P9(x2224)+~P6(x2224,x2222)+~P6(x2221,f54(x2224))+P6(x2221,f8(x2222,x2223))+~E(f36(x2224),x2223)
% 0.90/1.03 [232]~P1(x2324)+~P1(x2323)+~P6(x2321,x2323)+P6(x2321,f36(x2322))+~E(x2322,f49(f49(x2323,x2323),f49(x2323,x2324)))
% 0.90/1.03 [233]~P1(x2334)+~P1(x2333)+~P6(x2331,x2334)+P6(x2331,f54(x2332))+~E(x2332,f49(f49(x2333,x2333),f49(x2333,x2334)))
% 0.90/1.03 [275]~P4(x2754,x2755)+~P4(x2752,x2753)+~P7(x2751,x2752,x2754)+P5(x2751,x2752,x2753,x2754,x2755)+P6(f40(x2751,x2752,x2753,x2754,x2755),x2752)
% 0.90/1.03 [276]~P4(x2764,x2765)+~P4(x2762,x2763)+~P7(x2761,x2762,x2764)+P5(x2761,x2762,x2763,x2764,x2765)+P6(f41(x2761,x2762,x2763,x2764,x2765),x2762)
% 0.90/1.03 [277]~P4(x2774,x2775)+~P4(x2772,x2773)+~P7(x2771,x2772,x2774)+P5(x2771,x2772,x2773,x2774,x2775)+~E(f8(x2771,f8(x2773,f49(f49(f40(x2771,x2772,x2773,x2774,x2775),f40(x2771,x2772,x2773,x2774,x2775)),f49(f40(x2771,x2772,x2773,x2774,x2775),f41(x2771,x2772,x2773,x2774,x2775))))),f8(x2775,f49(f49(f8(x2771,f40(x2771,x2772,x2773,x2774,x2775)),f8(x2771,f40(x2771,x2772,x2773,x2774,x2775))),f49(f8(x2771,f40(x2771,x2772,x2773,x2774,x2775)),f8(x2771,f41(x2771,x2772,x2773,x2774,x2775))))))
% 0.90/1.03 [223]~P1(x2231)+~P9(x2234)+~P6(x2234,x2233)+~P6(f36(x2234),x2232)+P6(x2231,f30(x2232,x2233))+~E(f54(x2234),x2231)
% 0.90/1.03 [248]~P1(x2482)+~P1(x2484)+~P1(x2481)+~P1(x2483)+E(x2481,x2482)+~E(f49(f49(x2483,x2483),f49(x2483,x2481)),f49(f49(x2484,x2484),f49(x2484,x2482)))
% 0.90/1.03 [260]~P1(x2602)+~P1(x2601)+E(x2601,x2602)+~P1(x2603)+~P13(x2604)+~P6(f49(f49(x2603,x2603),f49(x2603,x2602)),x2604)+~P6(f49(f49(x2603,x2603),f49(x2603,x2601)),x2604)
% 0.90/1.03 [265]~P1(x2655)+~P1(x2654)+~P1(x2653)+~P1(x2651)+P6(x2651,f55(x2652))+~P6(f49(f49(x2654,x2654),f49(x2654,f49(f49(x2655,x2655),f49(x2655,x2653)))),x2652)+~E(x2651,f49(f49(x2653,x2653),f49(x2653,f49(f49(x2654,x2654),f49(x2654,x2655)))))
% 0.90/1.03 [266]~P1(x2665)+~P1(x2664)+~P1(x2663)+~P1(x2661)+P6(x2661,f48(x2662))+~P6(f49(f49(x2663,x2663),f49(x2663,f49(f49(x2665,x2665),f49(x2665,x2664)))),x2662)+~E(x2661,f49(f49(x2663,x2663),f49(x2663,f49(f49(x2664,x2664),f49(x2664,x2665)))))
% 0.90/1.03 [261]~P1(x2615)+~P1(x2614)+~P1(x2611)+~P1(x2616)+P6(x2611,f7(x2612,x2613))+~P6(f49(f49(x2616,x2616),f49(x2616,x2615)),x2613)+~P6(f49(f49(x2614,x2614),f49(x2614,x2616)),x2612)+~E(x2611,f49(f49(x2614,x2614),f49(x2614,x2615)))
% 0.90/1.03 %EqnAxiom
% 0.90/1.03 [1]E(x11,x11)
% 0.90/1.03 [2]E(x22,x21)+~E(x21,x22)
% 0.90/1.03 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.90/1.03 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.90/1.03 [5]~E(x51,x52)+E(f49(x51,x53),f49(x52,x53))
% 0.90/1.03 [6]~E(x61,x62)+E(f49(x63,x61),f49(x63,x62))
% 0.90/1.03 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73))
% 0.90/1.03 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82))
% 0.90/1.03 [9]~E(x91,x92)+E(f54(x91),f54(x92))
% 0.90/1.03 [10]~E(x101,x102)+E(f51(x101),f51(x102))
% 0.90/1.03 [11]~E(x111,x112)+E(f45(x111,x113),f45(x112,x113))
% 0.90/1.03 [12]~E(x121,x122)+E(f45(x123,x121),f45(x123,x122))
% 0.90/1.03 [13]~E(x131,x132)+E(f40(x131,x133,x134,x135,x136),f40(x132,x133,x134,x135,x136))
% 0.90/1.03 [14]~E(x141,x142)+E(f40(x143,x141,x144,x145,x146),f40(x143,x142,x144,x145,x146))
% 0.90/1.03 [15]~E(x151,x152)+E(f40(x153,x154,x151,x155,x156),f40(x153,x154,x152,x155,x156))
% 0.90/1.03 [16]~E(x161,x162)+E(f40(x163,x164,x165,x161,x166),f40(x163,x164,x165,x162,x166))
% 0.90/1.03 [17]~E(x171,x172)+E(f40(x173,x174,x175,x176,x171),f40(x173,x174,x175,x176,x172))
% 0.90/1.03 [18]~E(x181,x182)+E(f30(x181,x183),f30(x182,x183))
% 0.90/1.03 [19]~E(x191,x192)+E(f30(x193,x191),f30(x193,x192))
% 0.90/1.03 [20]~E(x201,x202)+E(f8(x201,x203),f8(x202,x203))
% 0.90/1.03 [21]~E(x211,x212)+E(f8(x213,x211),f8(x213,x212))
% 0.90/1.03 [22]~E(x221,x222)+E(f48(x221),f48(x222))
% 0.90/1.03 [23]~E(x231,x232)+E(f34(x231,x233,x234),f34(x232,x233,x234))
% 0.90/1.03 [24]~E(x241,x242)+E(f34(x243,x241,x244),f34(x243,x242,x244))
% 0.90/1.03 [25]~E(x251,x252)+E(f34(x253,x254,x251),f34(x253,x254,x252))
% 0.90/1.03 [26]~E(x261,x262)+E(f41(x261,x263,x264,x265,x266),f41(x262,x263,x264,x265,x266))
% 0.90/1.03 [27]~E(x271,x272)+E(f41(x273,x271,x274,x275,x276),f41(x273,x272,x274,x275,x276))
% 0.90/1.03 [28]~E(x281,x282)+E(f41(x283,x284,x281,x285,x286),f41(x283,x284,x282,x285,x286))
% 0.90/1.03 [29]~E(x291,x292)+E(f41(x293,x294,x295,x291,x296),f41(x293,x294,x295,x292,x296))
% 0.90/1.03 [30]~E(x301,x302)+E(f41(x303,x304,x305,x306,x301),f41(x303,x304,x305,x306,x302))
% 0.90/1.03 [31]~E(x311,x312)+E(f39(x311,x313,x314),f39(x312,x313,x314))
% 0.90/1.03 [32]~E(x321,x322)+E(f39(x323,x321,x324),f39(x323,x322,x324))
% 0.90/1.03 [33]~E(x331,x332)+E(f39(x333,x334,x331),f39(x333,x334,x332))
% 0.90/1.03 [34]~E(x341,x342)+E(f20(x341,x343),f20(x342,x343))
% 0.90/1.03 [35]~E(x351,x352)+E(f20(x353,x351),f20(x353,x352))
% 0.90/1.03 [36]~E(x361,x362)+E(f36(x361),f36(x362))
% 0.90/1.03 [37]~E(x371,x372)+E(f53(x371),f53(x372))
% 0.90/1.03 [38]~E(x381,x382)+E(f11(x381),f11(x382))
% 0.90/1.03 [39]~E(x391,x392)+E(f43(x391,x393),f43(x392,x393))
% 0.90/1.03 [40]~E(x401,x402)+E(f43(x403,x401),f43(x403,x402))
% 0.90/1.03 [41]~E(x411,x412)+E(f38(x411,x413,x414),f38(x412,x413,x414))
% 0.90/1.03 [42]~E(x421,x422)+E(f38(x423,x421,x424),f38(x423,x422,x424))
% 0.90/1.03 [43]~E(x431,x432)+E(f38(x433,x434,x431),f38(x433,x434,x432))
% 0.90/1.03 [44]~E(x441,x442)+E(f44(x441,x443),f44(x442,x443))
% 0.90/1.03 [45]~E(x451,x452)+E(f44(x453,x451),f44(x453,x452))
% 0.90/1.03 [46]~E(x461,x462)+E(f13(x461),f13(x462))
% 0.90/1.03 [47]~E(x471,x472)+E(f24(x471),f24(x472))
% 0.90/1.03 [48]~E(x481,x482)+E(f26(x481),f26(x482))
% 0.90/1.03 [49]~E(x491,x492)+E(f19(x491,x493),f19(x492,x493))
% 0.90/1.03 [50]~E(x501,x502)+E(f19(x503,x501),f19(x503,x502))
% 0.90/1.03 [51]~E(x511,x512)+E(f50(x511,x513),f50(x512,x513))
% 0.90/1.03 [52]~E(x521,x522)+E(f50(x523,x521),f50(x523,x522))
% 0.90/1.03 [53]~E(x531,x532)+E(f25(x531),f25(x532))
% 0.90/1.03 [54]~E(x541,x542)+E(f31(x541),f31(x542))
% 0.90/1.03 [55]~E(x551,x552)+E(f55(x551),f55(x552))
% 0.90/1.03 [56]~E(x561,x562)+E(f18(x561,x563),f18(x562,x563))
% 0.90/1.03 [57]~E(x571,x572)+E(f18(x573,x571),f18(x573,x572))
% 0.90/1.03 [58]~E(x581,x582)+E(f12(x581,x583),f12(x582,x583))
% 0.90/1.03 [59]~E(x591,x592)+E(f12(x593,x591),f12(x593,x592))
% 0.90/1.03 [60]~E(x601,x602)+E(f52(x601),f52(x602))
% 0.90/1.03 [61]~E(x611,x612)+E(f35(x611,x613,x614),f35(x612,x613,x614))
% 0.90/1.03 [62]~E(x621,x622)+E(f35(x623,x621,x624),f35(x623,x622,x624))
% 0.90/1.03 [63]~E(x631,x632)+E(f35(x633,x634,x631),f35(x633,x634,x632))
% 0.90/1.03 [64]~E(x641,x642)+E(f14(x641),f14(x642))
% 0.90/1.03 [65]~E(x651,x652)+E(f27(x651),f27(x652))
% 0.90/1.03 [66]~E(x661,x662)+E(f22(x661,x663),f22(x662,x663))
% 0.90/1.03 [67]~E(x671,x672)+E(f22(x673,x671),f22(x673,x672))
% 0.90/1.03 [68]~E(x681,x682)+E(f46(x681,x683),f46(x682,x683))
% 0.90/1.03 [69]~E(x691,x692)+E(f46(x693,x691),f46(x693,x692))
% 0.90/1.03 [70]~E(x701,x702)+E(f21(x701,x703),f21(x702,x703))
% 0.90/1.03 [71]~E(x711,x712)+E(f21(x713,x711),f21(x713,x712))
% 0.90/1.03 [72]~E(x721,x722)+E(f16(x721,x723),f16(x722,x723))
% 0.90/1.03 [73]~E(x731,x732)+E(f16(x733,x731),f16(x733,x732))
% 0.90/1.03 [74]~E(x741,x742)+E(f37(x741,x743),f37(x742,x743))
% 0.90/1.03 [75]~E(x751,x752)+E(f37(x753,x751),f37(x753,x752))
% 0.90/1.03 [76]~E(x761,x762)+E(f32(x761),f32(x762))
% 0.90/1.03 [77]~E(x771,x772)+E(f23(x771,x773),f23(x772,x773))
% 0.90/1.03 [78]~E(x781,x782)+E(f23(x783,x781),f23(x783,x782))
% 0.90/1.03 [79]~E(x791,x792)+E(f33(x791,x793),f33(x792,x793))
% 0.90/1.03 [80]~E(x801,x802)+E(f33(x803,x801),f33(x803,x802))
% 0.90/1.03 [81]~E(x811,x812)+E(f17(x811,x813),f17(x812,x813))
% 0.90/1.03 [82]~E(x821,x822)+E(f17(x823,x821),f17(x823,x822))
% 0.90/1.03 [83]~E(x831,x832)+E(f10(x831),f10(x832))
% 0.90/1.03 [84]~E(x841,x842)+E(f29(x841,x843,x844),f29(x842,x843,x844))
% 0.90/1.03 [85]~E(x851,x852)+E(f29(x853,x851,x854),f29(x853,x852,x854))
% 0.90/1.03 [86]~E(x861,x862)+E(f29(x863,x864,x861),f29(x863,x864,x862))
% 0.90/1.03 [87]~E(x871,x872)+E(f28(x871,x873),f28(x872,x873))
% 0.90/1.03 [88]~E(x881,x882)+E(f28(x883,x881),f28(x883,x882))
% 0.90/1.03 [89]~E(x891,x892)+E(f42(x891,x893),f42(x892,x893))
% 0.90/1.03 [90]~E(x901,x902)+E(f42(x903,x901),f42(x903,x902))
% 0.90/1.03 [91]~P1(x911)+P1(x912)+~E(x911,x912)
% 0.90/1.03 [92]~P2(x921)+P2(x922)+~E(x921,x922)
% 0.90/1.03 [93]~P13(x931)+P13(x932)+~E(x931,x932)
% 0.90/1.03 [94]P6(x942,x943)+~E(x941,x942)+~P6(x941,x943)
% 0.90/1.03 [95]P6(x953,x952)+~E(x951,x952)+~P6(x953,x951)
% 0.90/1.03 [96]P7(x962,x963,x964)+~E(x961,x962)+~P7(x961,x963,x964)
% 0.90/1.03 [97]P7(x973,x972,x974)+~E(x971,x972)+~P7(x973,x971,x974)
% 0.90/1.03 [98]P7(x983,x984,x982)+~E(x981,x982)+~P7(x983,x984,x981)
% 0.90/1.03 [99]P12(x992,x993)+~E(x991,x992)+~P12(x991,x993)
% 0.90/1.03 [100]P12(x1003,x1002)+~E(x1001,x1002)+~P12(x1003,x1001)
% 0.90/1.03 [101]~P8(x1011)+P8(x1012)+~E(x1011,x1012)
% 0.90/1.03 [102]~P9(x1021)+P9(x1022)+~E(x1021,x1022)
% 0.90/1.03 [103]P5(x1032,x1033,x1034,x1035,x1036)+~E(x1031,x1032)+~P5(x1031,x1033,x1034,x1035,x1036)
% 0.90/1.03 [104]P5(x1043,x1042,x1044,x1045,x1046)+~E(x1041,x1042)+~P5(x1043,x1041,x1044,x1045,x1046)
% 0.90/1.03 [105]P5(x1053,x1054,x1052,x1055,x1056)+~E(x1051,x1052)+~P5(x1053,x1054,x1051,x1055,x1056)
% 0.90/1.03 [106]P5(x1063,x1064,x1065,x1062,x1066)+~E(x1061,x1062)+~P5(x1063,x1064,x1065,x1061,x1066)
% 0.90/1.03 [107]P5(x1073,x1074,x1075,x1076,x1072)+~E(x1071,x1072)+~P5(x1073,x1074,x1075,x1076,x1071)
% 0.90/1.03 [108]P4(x1082,x1083)+~E(x1081,x1082)+~P4(x1081,x1083)
% 0.90/1.03 [109]P4(x1093,x1092)+~E(x1091,x1092)+~P4(x1093,x1091)
% 0.90/1.03 [110]P11(x1102,x1103)+~E(x1101,x1102)+~P11(x1101,x1103)
% 0.90/1.03 [111]P11(x1113,x1112)+~E(x1111,x1112)+~P11(x1113,x1111)
% 0.90/1.03 [112]P3(x1122,x1123)+~E(x1121,x1122)+~P3(x1121,x1123)
% 0.90/1.03 [113]P3(x1133,x1132)+~E(x1131,x1132)+~P3(x1133,x1131)
% 0.90/1.03 [114]~P10(x1141)+P10(x1142)+~E(x1141,x1142)
% 0.90/1.03
% 0.90/1.03 %-------------------------------------------
% 0.90/1.03 cnf(279,plain,
% 0.90/1.03 (~P6(x2791,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(280,plain,
% 0.90/1.03 (~P6(x2801,f12(x2802,a5))),
% 0.90/1.03 inference(scs_inference,[],[126,279,150,215])).
% 0.90/1.03 cnf(281,plain,
% 0.90/1.03 (~P6(x2811,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(284,plain,
% 0.90/1.03 (~P6(x2841,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(287,plain,
% 0.90/1.03 (~P6(x2871,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(289,plain,
% 0.90/1.03 (P3(x2891,a5)),
% 0.90/1.03 inference(scs_inference,[],[126,279,281,284,287,150,215,214,177,176])).
% 0.90/1.03 cnf(290,plain,
% 0.90/1.03 (~P6(x2901,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(293,plain,
% 0.90/1.03 (~P6(x2931,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(296,plain,
% 0.90/1.03 (~P6(x2961,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(299,plain,
% 0.90/1.03 (~P6(x2991,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(302,plain,
% 0.90/1.03 (~P6(x3021,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(305,plain,
% 0.90/1.03 (~P6(x3051,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(310,plain,
% 0.90/1.03 (~P6(x3101,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(313,plain,
% 0.90/1.03 (~P6(x3131,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(316,plain,
% 0.90/1.03 (~P6(x3161,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(319,plain,
% 0.90/1.03 (~P6(x3191,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(322,plain,
% 0.90/1.03 (~P6(x3221,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(325,plain,
% 0.90/1.03 (~P6(x3251,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(328,plain,
% 0.90/1.03 (~P6(x3281,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(331,plain,
% 0.90/1.03 (~P6(x3311,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(333,plain,
% 0.90/1.03 (~E(a1,a5)),
% 0.90/1.03 inference(scs_inference,[],[126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,118,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95])).
% 0.90/1.03 cnf(334,plain,
% 0.90/1.03 (~P6(x3341,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(338,plain,
% 0.90/1.03 (~P6(x3381,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(343,plain,
% 0.90/1.03 (~P6(x3431,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(345,plain,
% 0.90/1.03 (E(a5,f12(a5,x3451))),
% 0.90/1.03 inference(scs_inference,[],[126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,118,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213])).
% 0.90/1.03 cnf(346,plain,
% 0.90/1.03 (~P6(x3461,a5)),
% 0.90/1.03 inference(rename_variables,[],[126])).
% 0.90/1.03 cnf(365,plain,
% 0.90/1.03 (P1(f8(a2,x3651))),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,118,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162])).
% 0.90/1.03 cnf(470,plain,
% 0.90/1.03 (P9(f46(a4,a3))),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,118,119,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192])).
% 0.90/1.03 cnf(472,plain,
% 0.90/1.03 (E(f49(f49(f25(f46(a4,a3)),f25(f46(a4,a3))),f49(f25(f46(a4,a3)),f31(f46(a4,a3)))),f46(a4,a3))),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,118,119,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192,225])).
% 0.90/1.03 cnf(477,plain,
% 0.90/1.03 (~E(a5,a1)),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,118,119,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192,225,102,101,100,99])).
% 0.90/1.03 cnf(478,plain,
% 0.90/1.03 (~P7(x4781,a1,f51(a5))),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,118,119,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192,225,102,101,100,99,98])).
% 0.90/1.03 cnf(482,plain,
% 0.90/1.03 (P1(f12(a5,x4821))),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,118,119,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192,225,102,101,100,99,98,94,93,92,91])).
% 0.90/1.03 cnf(484,plain,
% 0.90/1.03 (P6(a5,f53(a56))),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,118,119,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192,225,102,101,100,99,98,94,93,92,91,3,196])).
% 0.90/1.03 cnf(486,plain,
% 0.90/1.03 (P6(f49(x4861,a5),f49(f49(x4861,f12(a5,x4862)),x4863))),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,118,119,120,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192,225,102,101,100,99,98,94,93,92,91,3,196,174])).
% 0.90/1.03 cnf(488,plain,
% 0.90/1.03 (P6(f49(x4881,a5),f49(x4882,f49(x4881,f12(a5,x4883))))),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,118,119,120,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192,225,102,101,100,99,98,94,93,92,91,3,196,174,173])).
% 0.90/1.03 cnf(508,plain,
% 0.90/1.03 (P12(f8(x5081,f8(a3,a4)),f8(f7(x5081,a3),a4))),
% 0.90/1.03 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,117,118,119,120,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192,225,102,101,100,99,98,94,93,92,91,3,196,174,173,172,165,216,200,167,166,157,229,228,246])).
% 0.90/1.04 cnf(516,plain,
% 0.90/1.04 (~E(f49(f49(a1,a1),f49(a1,a1)),f49(f49(a1,a1),f49(a1,a5)))),
% 0.90/1.04 inference(scs_inference,[],[127,126,279,281,284,287,290,293,296,299,302,305,310,313,316,319,322,325,328,331,334,338,343,346,115,116,117,118,119,120,123,125,150,215,214,177,176,175,208,207,206,250,249,255,253,244,243,270,269,273,272,95,180,179,143,230,213,2,153,144,130,129,211,210,178,168,162,146,141,140,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,242,170,158,258,194,192,225,102,101,100,99,98,94,93,92,91,3,196,174,173,172,165,216,200,167,166,157,229,228,246,241,181,247,248])).
% 0.90/1.04 cnf(575,plain,
% 0.90/1.04 (P1(f49(x5751,x5752))),
% 0.90/1.04 inference(rename_variables,[],[120])).
% 0.90/1.04 cnf(578,plain,
% 0.90/1.04 (P1(f49(x5781,x5782))),
% 0.90/1.04 inference(rename_variables,[],[120])).
% 0.90/1.04 cnf(581,plain,
% 0.90/1.04 (P12(f8(x5811,x5812),f53(f30(f49(x5812,x5812),x5811)))),
% 0.90/1.04 inference(rename_variables,[],[125])).
% 0.90/1.04 cnf(602,plain,
% 0.90/1.04 ($false),
% 0.90/1.04 inference(scs_inference,[],[127,126,117,125,581,120,575,578,119,472,516,280,486,488,508,470,365,482,289,478,345,484,333,477,271,128,139,138,137,136,205,113,171,196,174,173,172,200,166,157,207,206,146,180,213,242]),
% 0.90/1.04 ['proof']).
% 0.90/1.04 % SZS output end Proof
% 0.90/1.04 % Total time :0.350000s
%------------------------------------------------------------------------------