TSTP Solution File: SET083-7 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET083-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 14:28:34 EDT 2023
% Result : Unsatisfiable 1.90s 2.06s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET083-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 13:12:30 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.90/2.05 %-------------------------------------------
% 1.90/2.05 % File :CSE---1.6
% 1.90/2.05 % Problem :theBenchmark
% 1.90/2.05 % Transform :cnf
% 1.90/2.05 % Format :tptp:raw
% 1.90/2.05 % Command :java -jar mcs_scs.jar %d %s
% 1.90/2.05
% 1.90/2.05 % Result :Theorem 1.400000s
% 1.90/2.05 % Output :CNFRefutation 1.400000s
% 1.90/2.05 %-------------------------------------------
% 1.90/2.05 %--------------------------------------------------------------------------
% 1.90/2.05 % File : SET083-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.90/2.05 % Domain : Set Theory
% 1.90/2.05 % Problem : A singleton set depends on its element, part 1
% 1.90/2.05 % Version : [Qua92] axioms : Augmented.
% 1.90/2.05 % English :
% 1.90/2.05
% 1.90/2.05 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.90/2.05 % Source : [Quaife]
% 1.90/2.05 % Names : SS5.1 [Qua92]
% 1.90/2.05
% 1.90/2.05 % Status : Unsatisfiable
% 1.90/2.05 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.15 v5.4.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.09 v4.0.0, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.18 v2.4.0, 0.12 v2.2.1, 0.00 v2.1.0
% 1.90/2.05 % Syntax : Number of clauses : 129 ( 43 unt; 16 nHn; 87 RR)
% 1.90/2.05 % Number of literals : 252 ( 61 equ; 114 neg)
% 1.90/2.05 % Maximal clause size : 5 ( 1 avg)
% 1.90/2.05 % Maximal term depth : 6 ( 1 avg)
% 1.90/2.05 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 1.90/2.05 % Number of functors : 40 ( 40 usr; 10 con; 0-3 aty)
% 1.90/2.05 % Number of variables : 247 ( 46 sgn)
% 1.90/2.05 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.90/2.05
% 1.90/2.05 % Comments : Preceding lemmas are added.
% 1.90/2.05 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 1.90/2.05 %--------------------------------------------------------------------------
% 1.90/2.05 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.90/2.05 include('Axioms/SET004-0.ax').
% 1.90/2.05 %--------------------------------------------------------------------------
% 1.90/2.05 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 1.90/2.05 cnf(corollary_1_to_unordered_pair,axiom,
% 1.90/2.05 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 1.90/2.05 | member(X,unordered_pair(X,Y)) ) ).
% 1.90/2.05
% 1.90/2.05 cnf(corollary_2_to_unordered_pair,axiom,
% 1.90/2.05 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 1.90/2.05 | member(Y,unordered_pair(X,Y)) ) ).
% 1.90/2.05
% 1.90/2.05 %----Corollaries to Cartesian product axiom.
% 1.90/2.05 cnf(corollary_1_to_cartesian_product,axiom,
% 1.90/2.05 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 1.90/2.05 | member(U,universal_class) ) ).
% 1.90/2.05
% 1.90/2.05 cnf(corollary_2_to_cartesian_product,axiom,
% 1.90/2.05 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 1.90/2.05 | member(V,universal_class) ) ).
% 1.90/2.05
% 1.90/2.05 %---- PARTIAL ORDER.
% 1.90/2.05 %----(PO1): reflexive.
% 1.90/2.05 cnf(subclass_is_reflexive,axiom,
% 1.90/2.05 subclass(X,X) ).
% 1.90/2.05
% 1.90/2.05 %----(PO2): antisymmetry is part of A-3.
% 1.90/2.05 %----(x < y), (y < x) --> (x = y).
% 1.90/2.05
% 1.90/2.05 %----(PO3): transitivity.
% 1.90/2.06 cnf(transitivity_of_subclass,axiom,
% 1.90/2.06 ( ~ subclass(X,Y)
% 1.90/2.06 | ~ subclass(Y,Z)
% 1.90/2.06 | subclass(X,Z) ) ).
% 1.90/2.06
% 1.90/2.06 %---- EQUALITY.
% 1.90/2.06 %---(EQ1): equality axiom.
% 1.90/2.06 %----a:x:(x = x).
% 1.90/2.06 %----This is always an axiom in the TPTP presentation.
% 1.90/2.06
% 1.90/2.06 %----(EQ2): expanded equality definition.
% 1.90/2.06 cnf(equality1,axiom,
% 1.90/2.06 ( X = Y
% 1.90/2.06 | member(not_subclass_element(X,Y),X)
% 1.90/2.06 | member(not_subclass_element(Y,X),Y) ) ).
% 1.90/2.06
% 1.90/2.06 cnf(equality2,axiom,
% 1.90/2.06 ( ~ member(not_subclass_element(X,Y),Y)
% 1.90/2.06 | X = Y
% 1.90/2.06 | member(not_subclass_element(Y,X),Y) ) ).
% 1.90/2.06
% 1.90/2.06 cnf(equality3,axiom,
% 1.90/2.06 ( ~ member(not_subclass_element(Y,X),X)
% 1.90/2.06 | X = Y
% 1.90/2.06 | member(not_subclass_element(X,Y),X) ) ).
% 1.90/2.06
% 1.90/2.06 cnf(equality4,axiom,
% 1.90/2.06 ( ~ member(not_subclass_element(X,Y),Y)
% 1.90/2.06 | ~ member(not_subclass_element(Y,X),X)
% 1.90/2.06 | X = Y ) ).
% 1.90/2.06
% 1.90/2.06 %---- SPECIAL CLASSES.
% 1.90/2.06 %----(SP1): lemma.
% 1.90/2.06 cnf(special_classes_lemma,axiom,
% 1.90/2.06 ~ member(Y,intersection(complement(X),X)) ).
% 1.90/2.06
% 1.90/2.06 %----(SP2): Existence of O (null class).
% 1.90/2.06 %----e:x:a:z:(-(z e x)).
% 1.90/2.06 cnf(existence_of_null_class,axiom,
% 1.90/2.06 ~ member(Z,null_class) ).
% 1.90/2.06
% 1.90/2.06 %----(SP3): O is a subclass of every class.
% 1.90/2.06 cnf(null_class_is_subclass,axiom,
% 1.90/2.06 subclass(null_class,X) ).
% 1.90/2.06
% 1.90/2.06 %----corollary.
% 1.90/2.06 cnf(corollary_of_null_class_is_subclass,axiom,
% 1.90/2.06 ( ~ subclass(X,null_class)
% 1.90/2.06 | X = null_class ) ).
% 1.90/2.06
% 1.90/2.06 %----(SP4): uniqueness of null class.
% 1.90/2.06 cnf(null_class_is_unique,axiom,
% 1.90/2.06 ( Z = null_class
% 1.90/2.06 | member(not_subclass_element(Z,null_class),Z) ) ).
% 1.90/2.06
% 1.90/2.06 %----(SP5): O is a set (follows from axiom of infinity).
% 1.90/2.06 cnf(null_class_is_a_set,axiom,
% 1.90/2.06 member(null_class,universal_class) ).
% 1.90/2.06
% 1.90/2.06 %---- UNORDERED PAIRS.
% 1.90/2.06 %----(UP1): unordered pair is commutative.
% 1.90/2.06 cnf(commutativity_of_unordered_pair,axiom,
% 1.90/2.06 unordered_pair(X,Y) = unordered_pair(Y,X) ).
% 1.90/2.06
% 1.90/2.06 %----(UP2): if one argument is a proper class, pair contains only the
% 1.90/2.06 %----other. In a slightly different form to the paper
% 1.90/2.06 cnf(singleton_in_unordered_pair1,axiom,
% 1.90/2.06 subclass(singleton(X),unordered_pair(X,Y)) ).
% 1.90/2.06
% 1.90/2.06 cnf(singleton_in_unordered_pair2,axiom,
% 1.90/2.06 subclass(singleton(Y),unordered_pair(X,Y)) ).
% 1.90/2.06
% 1.90/2.06 cnf(unordered_pair_equals_singleton1,axiom,
% 1.90/2.06 ( member(Y,universal_class)
% 1.90/2.06 | unordered_pair(X,Y) = singleton(X) ) ).
% 1.90/2.06
% 1.90/2.06 cnf(unordered_pair_equals_singleton2,axiom,
% 1.90/2.06 ( member(X,universal_class)
% 1.90/2.06 | unordered_pair(X,Y) = singleton(Y) ) ).
% 1.90/2.06
% 1.90/2.06 %----(UP3): if both arguments are proper classes, pair is null.
% 1.90/2.06 cnf(null_unordered_pair,axiom,
% 1.90/2.06 ( unordered_pair(X,Y) = null_class
% 1.90/2.06 | member(X,universal_class)
% 1.90/2.06 | member(Y,universal_class) ) ).
% 1.90/2.06
% 1.90/2.06 %----(UP4): left cancellation for unordered pairs.
% 1.90/2.06 cnf(left_cancellation,axiom,
% 1.90/2.06 ( unordered_pair(X,Y) != unordered_pair(X,Z)
% 1.90/2.06 | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 1.90/2.06 | Y = Z ) ).
% 1.90/2.06
% 1.90/2.06 %----(UP5): right cancellation for unordered pairs.
% 1.90/2.06 cnf(right_cancellation,axiom,
% 1.90/2.06 ( unordered_pair(X,Z) != unordered_pair(Y,Z)
% 1.90/2.06 | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
% 1.90/2.06 | X = Y ) ).
% 1.90/2.06
% 1.90/2.06 %----(UP6): corollary to (A-4).
% 1.90/2.06 cnf(corollary_to_unordered_pair_axiom1,axiom,
% 1.90/2.06 ( ~ member(X,universal_class)
% 1.90/2.06 | unordered_pair(X,Y) != null_class ) ).
% 1.90/2.06
% 1.90/2.06 cnf(corollary_to_unordered_pair_axiom2,axiom,
% 1.90/2.06 ( ~ member(Y,universal_class)
% 1.90/2.06 | unordered_pair(X,Y) != null_class ) ).
% 1.90/2.06
% 1.90/2.06 %----corollary to instantiate variables.
% 1.90/2.06 %----Not in the paper
% 1.90/2.06 cnf(corollary_to_unordered_pair_axiom3,axiom,
% 1.90/2.06 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 1.90/2.06 | unordered_pair(X,Y) != null_class ) ).
% 1.90/2.06
% 1.90/2.06 %----(UP7): if both members of a pair belong to a set, the pair
% 1.90/2.06 %----is a subset.
% 1.90/2.06 cnf(unordered_pair_is_subset,axiom,
% 1.90/2.06 ( ~ member(X,Z)
% 1.90/2.06 | ~ member(Y,Z)
% 1.90/2.06 | subclass(unordered_pair(X,Y),Z) ) ).
% 1.90/2.06
% 1.90/2.06 %---- SINGLETONS.
% 1.90/2.06 %----(SS1): every singleton is a set.
% 1.90/2.06 cnf(singletons_are_sets,axiom,
% 1.90/2.06 member(singleton(X),universal_class) ).
% 1.90/2.06
% 1.90/2.06 %----corollary, not in the paper.
% 1.90/2.06 cnf(corollary_1_to_singletons_are_sets,axiom,
% 1.90/2.06 member(singleton(Y),unordered_pair(X,singleton(Y))) ).
% 1.90/2.06
% 1.90/2.06 %----(SS2): a set belongs to its singleton.
% 1.90/2.06 %----(u = x), (u e universal_class) --> (u e {x}).
% 1.90/2.06 cnf(set_in_its_singleton,axiom,
% 1.90/2.06 ( ~ member(X,universal_class)
% 1.90/2.06 | member(X,singleton(X)) ) ).
% 1.90/2.06
% 1.90/2.06 %----corollary
% 1.90/2.06 cnf(corollary_to_set_in_its_singleton,axiom,
% 1.90/2.06 ( ~ member(X,universal_class)
% 1.90/2.06 | singleton(X) != null_class ) ).
% 1.90/2.06
% 1.90/2.06 %----Not in the paper
% 1.90/2.06 cnf(null_class_in_its_singleton,axiom,
% 1.90/2.06 member(null_class,singleton(null_class)) ).
% 1.90/2.06
% 1.90/2.06 %----(SS3): only x can belong to {x}.
% 1.90/2.06 cnf(only_member_in_singleton,axiom,
% 1.90/2.06 ( ~ member(Y,singleton(X))
% 1.90/2.06 | Y = X ) ).
% 1.90/2.06
% 1.90/2.06 %----(SS4): if x is not a set, {x} = O.
% 1.90/2.06 cnf(singleton_is_null_class,axiom,
% 1.90/2.06 ( member(X,universal_class)
% 1.90/2.06 | singleton(X) = null_class ) ).
% 1.90/2.06
% 1.90/2.06 cnf(prove_singleton_identified_by_element1_1,negated_conjecture,
% 1.90/2.06 singleton(x) = singleton(y) ).
% 1.90/2.06
% 1.90/2.06 cnf(prove_singleton_identified_by_element1_2,negated_conjecture,
% 1.90/2.06 member(x,universal_class) ).
% 1.90/2.06
% 1.90/2.06 cnf(prove_singleton_identified_by_element1_3,negated_conjecture,
% 1.90/2.06 x != y ).
% 1.90/2.06
% 1.90/2.06 %--------------------------------------------------------------------------
% 1.90/2.06 %-------------------------------------------
% 1.90/2.06 % Proof found
% 1.90/2.06 % SZS status Theorem for theBenchmark
% 1.90/2.06 % SZS output start Proof
% 1.90/2.06 %ClaNum:156(EqnAxiom:42)
% 1.90/2.06 %VarNum:879(SingletonVarNum:216)
% 1.90/2.06 %MaxLitNum:5
% 1.90/2.06 %MaxfuncDepth:24
% 1.90/2.06 %SharedTerms:39
% 1.90/2.06 %goalClause: 47 51 68
% 1.90/2.06 %singleGoalClaCount:3
% 1.90/2.06 [43]P1(a1)
% 1.90/2.06 [44]P2(a2)
% 1.90/2.06 [45]P5(a4,a17)
% 1.90/2.06 [46]P5(a1,a17)
% 1.90/2.06 [47]P5(a23,a17)
% 1.90/2.06 [68]~E(a25,a23)
% 1.90/2.06 [51]E(f24(a25,a25),f24(a23,a23))
% 1.90/2.06 [53]P6(a5,f6(a17,a17))
% 1.90/2.06 [54]P6(a18,f6(a17,a17))
% 1.90/2.06 [55]P5(a4,f24(a4,a4))
% 1.90/2.06 [64]E(f10(f9(f11(f6(a21,a17))),a21),a13)
% 1.90/2.06 [66]E(f10(f6(a17,a17),f10(f6(a17,a17),f8(f7(f8(a5),f9(f11(f6(a5,a17))))))),a21)
% 1.90/2.06 [48]P6(x481,a17)
% 1.90/2.06 [49]P6(a4,x491)
% 1.90/2.06 [50]P6(x501,x501)
% 1.90/2.06 [69]~P5(x691,a4)
% 1.90/2.06 [62]P6(f19(x621),f6(f6(a17,a17),a17))
% 1.90/2.06 [63]P6(f11(x631),f6(f6(a17,a17),a17))
% 1.90/2.06 [67]E(f10(f9(x671),f8(f9(f10(f7(f9(f11(f6(a5,a17))),x671),a13)))),f3(x671))
% 1.90/2.06 [52]E(f24(x521,x522),f24(x522,x521))
% 1.90/2.06 [56]P5(f24(x561,x562),a17)
% 1.90/2.06 [58]P6(f7(x581,x582),f6(a17,a17))
% 1.90/2.06 [59]P6(f24(x591,x591),f24(x592,x591))
% 1.90/2.06 [60]P6(f24(x601,x601),f24(x601,x602))
% 1.90/2.06 [65]P5(f24(x651,x651),f24(x652,f24(x651,x651)))
% 1.90/2.06 [70]~P5(x701,f10(f8(x702),x702))
% 1.90/2.06 [61]E(f10(f6(x611,x612),x613),f10(x613,f6(x611,x612)))
% 1.90/2.06 [71]~P7(x711)+P2(x711)
% 1.90/2.06 [72]~P8(x721)+P2(x721)
% 1.90/2.06 [75]~P1(x751)+P6(a1,x751)
% 1.90/2.06 [76]~P1(x761)+P5(a4,x761)
% 1.90/2.06 [77]~P6(x771,a4)+E(x771,a4)
% 1.90/2.06 [79]P5(f20(x791),x791)+E(x791,a4)
% 1.90/2.06 [80]P5(x801,a17)+E(f24(x801,x801),a4)
% 1.90/2.06 [81]E(x811,a4)+P5(f14(x811,a4),x811)
% 1.90/2.06 [85]~P2(x851)+P6(x851,f6(a17,a17))
% 1.90/2.06 [78]E(x781,a4)+E(f10(x781,f20(x781)),a4)
% 1.90/2.06 [98]~P8(x981)+E(f6(f9(f9(x981)),f9(f9(x981))),f9(x981))
% 1.90/2.06 [113]~P7(x1131)+P2(f9(f11(f6(x1131,a17))))
% 1.90/2.06 [118]~P5(x1181,a17)+P5(f9(f10(a5,f6(a17,x1181))),a17)
% 1.90/2.06 [120]~P9(x1201)+P6(f7(x1201,f9(f11(f6(x1201,a17)))),a13)
% 1.90/2.06 [121]~P2(x1211)+P6(f7(x1211,f9(f11(f6(x1211,a17)))),a13)
% 1.90/2.06 [122]~P8(x1221)+P6(f9(f9(f11(f6(x1221,a17)))),f9(f9(x1221)))
% 1.90/2.06 [127]P9(x1271)+~P6(f7(x1271,f9(f11(f6(x1271,a17)))),a13)
% 1.90/2.06 [143]~P1(x1431)+P6(f9(f9(f11(f6(f10(a18,f6(x1431,a17)),a17)))),x1431)
% 1.90/2.06 [147]~P5(x1471,a17)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1471),a17)),a17))))),a17)
% 1.90/2.06 [73]~E(x732,x731)+P6(x731,x732)
% 1.90/2.07 [74]~E(x741,x742)+P6(x741,x742)
% 1.90/2.07 [83]P5(x832,a17)+E(f24(x831,x832),f24(x831,x831))
% 1.90/2.07 [84]P5(x841,a17)+E(f24(x841,x842),f24(x842,x842))
% 1.90/2.07 [86]~P5(x862,a17)+~E(f24(x861,x862),a4)
% 1.90/2.07 [87]~P5(x871,a17)+~E(f24(x871,x872),a4)
% 1.90/2.07 [90]P6(x901,x902)+P5(f14(x901,x902),x901)
% 1.90/2.07 [91]~P5(x911,x912)+~P5(x911,f8(x912))
% 1.90/2.07 [95]~P5(x951,a17)+P5(x951,f24(x952,x951))
% 1.90/2.07 [96]~P5(x961,a17)+P5(x961,f24(x961,x962))
% 1.90/2.07 [99]E(x991,x992)+~P5(x991,f24(x992,x992))
% 1.90/2.07 [103]P6(x1031,x1032)+~P5(f14(x1031,x1032),x1032)
% 1.90/2.07 [117]~P5(x1172,f9(x1171))+~E(f10(x1171,f6(f24(x1172,x1172),a17)),a4)
% 1.90/2.07 [126]P5(x1261,x1262)+~P5(f24(f24(x1261,x1261),f24(x1261,f24(x1262,x1262))),a5)
% 1.90/2.07 [140]~P5(f24(f24(x1401,x1401),f24(x1401,f24(x1402,x1402))),a18)+E(f8(f10(f8(x1401),f8(f24(x1401,x1401)))),x1402)
% 1.90/2.07 [107]P2(x1071)+~P3(x1071,x1072,x1073)
% 1.90/2.07 [108]P8(x1081)+~P4(x1082,x1083,x1081)
% 1.90/2.07 [109]P8(x1091)+~P4(x1092,x1091,x1093)
% 1.90/2.07 [116]~P4(x1161,x1162,x1163)+P3(x1161,x1162,x1163)
% 1.90/2.07 [101]P5(x1011,x1012)+~P5(x1011,f10(x1013,x1012))
% 1.90/2.07 [102]P5(x1021,x1022)+~P5(x1021,f10(x1022,x1023))
% 1.90/2.07 [110]~P3(x1102,x1101,x1103)+E(f9(f9(x1101)),f9(x1102))
% 1.90/2.07 [123]~P5(x1231,f6(x1232,x1233))+E(f24(f24(f12(x1231),f12(x1231)),f24(f12(x1231),f24(f22(x1231),f22(x1231)))),x1231)
% 1.90/2.07 [125]~P3(x1251,x1253,x1252)+P6(f9(f9(f11(f6(x1251,a17)))),f9(f9(x1252)))
% 1.90/2.07 [128]P5(x1281,a17)+~P5(f24(f24(x1282,x1282),f24(x1282,f24(x1281,x1281))),f6(x1283,x1284))
% 1.90/2.07 [129]P5(x1291,a17)+~P5(f24(f24(x1291,x1291),f24(x1291,f24(x1292,x1292))),f6(x1293,x1294))
% 1.90/2.07 [130]P5(x1301,x1302)+~P5(f24(f24(x1303,x1303),f24(x1303,f24(x1301,x1301))),f6(x1304,x1302))
% 1.90/2.07 [131]P5(x1311,x1312)+~P5(f24(f24(x1311,x1311),f24(x1311,f24(x1313,x1313))),f6(x1312,x1314))
% 1.90/2.07 [132]~E(f24(x1321,x1322),a4)+~P5(f24(f24(x1321,x1321),f24(x1321,f24(x1322,x1322))),f6(x1323,x1324))
% 1.90/2.07 [136]P5(x1361,f24(x1362,x1361))+~P5(f24(f24(x1362,x1362),f24(x1362,f24(x1361,x1361))),f6(x1363,x1364))
% 1.90/2.07 [137]P5(x1371,f24(x1371,x1372))+~P5(f24(f24(x1371,x1371),f24(x1371,f24(x1372,x1372))),f6(x1373,x1374))
% 1.90/2.07 [148]~P5(f24(f24(f24(f24(x1483,x1483),f24(x1483,f24(x1481,x1481))),f24(f24(x1483,x1483),f24(x1483,f24(x1481,x1481)))),f24(f24(f24(x1483,x1483),f24(x1483,f24(x1481,x1481))),f24(x1482,x1482))),f19(x1484))+P5(f24(f24(f24(f24(x1481,x1481),f24(x1481,f24(x1482,x1482))),f24(f24(x1481,x1481),f24(x1481,f24(x1482,x1482)))),f24(f24(f24(x1481,x1481),f24(x1481,f24(x1482,x1482))),f24(x1483,x1483))),x1484)
% 1.90/2.07 [149]~P5(f24(f24(f24(f24(x1492,x1492),f24(x1492,f24(x1491,x1491))),f24(f24(x1492,x1492),f24(x1492,f24(x1491,x1491)))),f24(f24(f24(x1492,x1492),f24(x1492,f24(x1491,x1491))),f24(x1493,x1493))),f11(x1494))+P5(f24(f24(f24(f24(x1491,x1491),f24(x1491,f24(x1492,x1492))),f24(f24(x1491,x1491),f24(x1491,f24(x1492,x1492)))),f24(f24(f24(x1491,x1491),f24(x1491,f24(x1492,x1492))),f24(x1493,x1493))),x1494)
% 1.90/2.07 [153]~P5(f24(f24(x1534,x1534),f24(x1534,f24(x1531,x1531))),f7(x1532,x1533))+P5(x1531,f9(f9(f11(f6(f10(x1532,f6(f9(f9(f11(f6(f10(x1533,f6(f24(x1534,x1534),a17)),a17)))),a17)),a17)))))
% 1.90/2.07 [119]~P2(x1191)+P7(x1191)+~P2(f9(f11(f6(x1191,a17))))
% 1.90/2.07 [133]P2(x1331)+~P6(x1331,f6(a17,a17))+~P6(f7(x1331,f9(f11(f6(x1331,a17)))),a13)
% 1.90/2.07 [145]P1(x1451)+~P5(a4,x1451)+~P6(f9(f9(f11(f6(f10(a18,f6(x1451,a17)),a17)))),x1451)
% 1.90/2.07 [152]~P5(x1521,a17)+E(x1521,a4)+P5(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f24(x1521,x1521),a17)),a17))))))),x1521)
% 1.90/2.07 [89]~P6(x892,x891)+~P6(x891,x892)+E(x891,x892)
% 1.90/2.07 [82]P5(x822,a17)+P5(x821,a17)+E(f24(x821,x822),a4)
% 1.90/2.07 [92]P5(x921,x922)+P5(x921,f8(x922))+~P5(x921,a17)
% 1.90/2.07 [104]E(x1041,x1042)+P5(f14(x1042,x1041),x1042)+P5(f14(x1041,x1042),x1041)
% 1.90/2.07 [112]E(x1121,x1122)+P5(f14(x1122,x1121),x1122)+~P5(f14(x1121,x1122),x1122)
% 1.90/2.07 [114]E(x1141,x1142)+~P5(f14(x1142,x1141),x1141)+~P5(f14(x1141,x1142),x1142)
% 1.90/2.07 [115]P5(x1152,f9(x1151))+~P5(x1152,a17)+E(f10(x1151,f6(f24(x1152,x1152),a17)),a4)
% 1.90/2.07 [141]~P5(x1411,x1412)+~P5(f24(f24(x1411,x1411),f24(x1411,f24(x1412,x1412))),f6(a17,a17))+P5(f24(f24(x1411,x1411),f24(x1411,f24(x1412,x1412))),a5)
% 1.90/2.07 [142]~P5(f24(f24(x1421,x1421),f24(x1421,f24(x1422,x1422))),f6(a17,a17))+~E(f8(f10(f8(x1421),f8(f24(x1421,x1421)))),x1422)+P5(f24(f24(x1421,x1421),f24(x1421,f24(x1422,x1422))),a18)
% 1.90/2.07 [144]~P2(x1441)+~P5(x1442,a17)+P5(f9(f9(f11(f6(f10(x1441,f6(x1442,a17)),a17)))),a17)
% 1.90/2.07 [93]~P6(x931,x933)+P6(x931,x932)+~P6(x933,x932)
% 1.90/2.07 [94]~P5(x941,x943)+P5(x941,x942)+~P6(x943,x942)
% 1.90/2.07 [100]E(x1001,x1002)+E(x1001,x1003)+~P5(x1001,f24(x1003,x1002))
% 1.90/2.07 [105]~P5(x1051,x1053)+~P5(x1051,x1052)+P5(x1051,f10(x1052,x1053))
% 1.90/2.07 [106]~P5(x1062,x1063)+~P5(x1061,x1063)+P6(f24(x1061,x1062),x1063)
% 1.90/2.07 [134]E(x1341,x1342)+~E(f24(x1343,x1341),f24(x1343,x1342))+~P5(f24(f24(x1341,x1341),f24(x1341,f24(x1342,x1342))),f6(a17,a17))
% 1.90/2.07 [135]E(x1351,x1352)+~E(f24(x1351,x1353),f24(x1352,x1353))+~P5(f24(f24(x1351,x1351),f24(x1351,f24(x1352,x1352))),f6(a17,a17))
% 1.90/2.07 [124]~P5(x1242,x1244)+~P5(x1241,x1243)+P5(f24(f24(x1241,x1241),f24(x1241,f24(x1242,x1242))),f6(x1243,x1244))
% 1.90/2.07 [150]~P5(f24(f24(f24(f24(x1502,x1502),f24(x1502,f24(x1503,x1503))),f24(f24(x1502,x1502),f24(x1502,f24(x1503,x1503)))),f24(f24(f24(x1502,x1502),f24(x1502,f24(x1503,x1503))),f24(x1501,x1501))),x1504)+P5(f24(f24(f24(f24(x1501,x1501),f24(x1501,f24(x1502,x1502))),f24(f24(x1501,x1501),f24(x1501,f24(x1502,x1502)))),f24(f24(f24(x1501,x1501),f24(x1501,f24(x1502,x1502))),f24(x1503,x1503))),f19(x1504))+~P5(f24(f24(f24(f24(x1501,x1501),f24(x1501,f24(x1502,x1502))),f24(f24(x1501,x1501),f24(x1501,f24(x1502,x1502)))),f24(f24(f24(x1501,x1501),f24(x1501,f24(x1502,x1502))),f24(x1503,x1503))),f6(f6(a17,a17),a17))
% 1.90/2.07 [151]~P5(f24(f24(f24(f24(x1512,x1512),f24(x1512,f24(x1511,x1511))),f24(f24(x1512,x1512),f24(x1512,f24(x1511,x1511)))),f24(f24(f24(x1512,x1512),f24(x1512,f24(x1511,x1511))),f24(x1513,x1513))),x1514)+P5(f24(f24(f24(f24(x1511,x1511),f24(x1511,f24(x1512,x1512))),f24(f24(x1511,x1511),f24(x1511,f24(x1512,x1512)))),f24(f24(f24(x1511,x1511),f24(x1511,f24(x1512,x1512))),f24(x1513,x1513))),f11(x1514))+~P5(f24(f24(f24(f24(x1511,x1511),f24(x1511,f24(x1512,x1512))),f24(f24(x1511,x1511),f24(x1511,f24(x1512,x1512)))),f24(f24(f24(x1511,x1511),f24(x1511,f24(x1512,x1512))),f24(x1513,x1513))),f6(f6(a17,a17),a17))
% 1.90/2.07 [154]P5(f24(f24(x1541,x1541),f24(x1541,f24(x1542,x1542))),f7(x1543,x1544))+~P5(f24(f24(x1541,x1541),f24(x1541,f24(x1542,x1542))),f6(a17,a17))+~P5(x1542,f9(f9(f11(f6(f10(x1543,f6(f9(f9(f11(f6(f10(x1544,f6(f24(x1541,x1541),a17)),a17)))),a17)),a17)))))
% 1.90/2.07 [155]~P4(x1552,x1555,x1551)+~P5(f24(f24(x1553,x1553),f24(x1553,f24(x1554,x1554))),f9(x1555))+E(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1551,f6(f24(f24(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1553,x1553),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1553,x1553),a17)),a17)))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1553,x1553),a17)),a17))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1554,x1554),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1554,x1554),a17)),a17)))))))))),f24(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1553,x1553),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1553,x1553),a17)),a17)))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1553,x1553),a17)),a17))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1554,x1554),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(x1554,x1554),a17)),a17))))))))))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1555,f6(f24(f24(f24(x1553,x1553),f24(x1553,f24(x1554,x1554))),f24(f24(x1553,x1553),f24(x1553,f24(x1554,x1554)))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1555,f6(f24(f24(f24(x1553,x1553),f24(x1553,f24(x1554,x1554))),f24(f24(x1553,x1553),f24(x1553,f24(x1554,x1554)))),a17)),a17)))))))),a17)),a17))))))))
% 1.90/2.07 [139]~P2(x1391)+P8(x1391)+~E(f6(f9(f9(x1391)),f9(f9(x1391))),f9(x1391))+~P6(f9(f9(f11(f6(x1391,a17)))),f9(f9(x1391)))
% 1.90/2.07 [138]~P2(x1381)+P3(x1381,x1382,x1383)+~E(f9(f9(x1382)),f9(x1381))+~P6(f9(f9(f11(f6(x1381,a17)))),f9(f9(x1383)))
% 1.90/2.07 [146]~P8(x1463)+~P8(x1462)+~P3(x1461,x1462,x1463)+P4(x1461,x1462,x1463)+P5(f24(f24(f15(x1461,x1462,x1463),f15(x1461,x1462,x1463)),f24(f15(x1461,x1462,x1463),f24(f16(x1461,x1462,x1463),f16(x1461,x1462,x1463)))),f9(x1462))
% 1.90/2.07 [156]~P8(x1563)+~P8(x1562)+~P3(x1561,x1562,x1563)+P4(x1561,x1562,x1563)+~E(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1563,f6(f24(f24(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17)))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)),a17)),a17)))))))))),f24(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17)))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)),a17)),a17))))))))))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1562,f6(f24(f24(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),f24(f15(x1561,x1562,x1563),f24(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)))),f24(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),f24(f15(x1561,x1562,x1563),f24(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563))))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1562,f6(f24(f24(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),f24(f15(x1561,x1562,x1563),f24(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)))),f24(f24(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),f24(f15(x1561,x1562,x1563),f24(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563))))),a17)),a17)))))))),a17)),a17))))))))
% 1.90/2.07 %EqnAxiom
% 1.90/2.07 [1]E(x11,x11)
% 1.90/2.07 [2]E(x22,x21)+~E(x21,x22)
% 1.90/2.07 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.90/2.07 [4]~E(x41,x42)+E(f24(x41,x43),f24(x42,x43))
% 1.90/2.07 [5]~E(x51,x52)+E(f24(x53,x51),f24(x53,x52))
% 1.90/2.07 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 1.90/2.07 [7]~E(x71,x72)+E(f10(x71,x73),f10(x72,x73))
% 1.90/2.07 [8]~E(x81,x82)+E(f10(x83,x81),f10(x83,x82))
% 1.90/2.07 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 1.90/2.07 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 1.90/2.07 [11]~E(x111,x112)+E(f8(x111),f8(x112))
% 1.90/2.07 [12]~E(x121,x122)+E(f15(x121,x123,x124),f15(x122,x123,x124))
% 1.90/2.07 [13]~E(x131,x132)+E(f15(x133,x131,x134),f15(x133,x132,x134))
% 1.90/2.07 [14]~E(x141,x142)+E(f15(x143,x144,x141),f15(x143,x144,x142))
% 1.90/2.07 [15]~E(x151,x152)+E(f11(x151),f11(x152))
% 1.90/2.07 [16]~E(x161,x162)+E(f22(x161),f22(x162))
% 1.90/2.07 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173))
% 1.90/2.07 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182))
% 1.90/2.07 [19]~E(x191,x192)+E(f20(x191),f20(x192))
% 1.90/2.07 [20]~E(x201,x202)+E(f16(x201,x203,x204),f16(x202,x203,x204))
% 1.90/2.07 [21]~E(x211,x212)+E(f16(x213,x211,x214),f16(x213,x212,x214))
% 1.90/2.07 [22]~E(x221,x222)+E(f16(x223,x224,x221),f16(x223,x224,x222))
% 1.90/2.07 [23]~E(x231,x232)+E(f19(x231),f19(x232))
% 1.90/2.07 [24]~E(x241,x242)+E(f12(x241),f12(x242))
% 1.90/2.07 [25]~E(x251,x252)+E(f14(x251,x253),f14(x252,x253))
% 1.90/2.07 [26]~E(x261,x262)+E(f14(x263,x261),f14(x263,x262))
% 1.90/2.07 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 1.90/2.07 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 1.90/2.07 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 1.90/2.07 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 1.90/2.07 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 1.90/2.07 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 1.90/2.07 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 1.90/2.07 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 1.90/2.07 [35]~P8(x351)+P8(x352)+~E(x351,x352)
% 1.90/2.07 [36]P6(x362,x363)+~E(x361,x362)+~P6(x361,x363)
% 1.90/2.07 [37]P6(x373,x372)+~E(x371,x372)+~P6(x373,x371)
% 1.90/2.07 [38]P4(x382,x383,x384)+~E(x381,x382)+~P4(x381,x383,x384)
% 1.90/2.07 [39]P4(x393,x392,x394)+~E(x391,x392)+~P4(x393,x391,x394)
% 1.90/2.07 [40]P4(x403,x404,x402)+~E(x401,x402)+~P4(x403,x404,x401)
% 1.90/2.07 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 1.90/2.07 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 1.90/2.07
% 1.90/2.07 %-------------------------------------------
% 1.90/2.08 cnf(157,plain,
% 1.90/2.08 (E(f24(a23,a23),f24(a25,a25))),
% 1.90/2.08 inference(scs_inference,[],[51,2])).
% 1.90/2.08 cnf(158,plain,
% 1.90/2.08 (~P1(a4)),
% 1.90/2.08 inference(scs_inference,[],[69,51,2,76])).
% 1.90/2.08 cnf(159,plain,
% 1.90/2.08 (~P5(x1591,a4)),
% 1.90/2.08 inference(rename_variables,[],[69])).
% 1.90/2.08 cnf(161,plain,
% 1.90/2.08 (E(f10(f8(x1611),x1611),a4)),
% 1.90/2.08 inference(scs_inference,[],[69,51,70,2,76,81])).
% 1.90/2.08 cnf(162,plain,
% 1.90/2.08 (~P5(x1621,f10(f8(x1622),x1622))),
% 1.90/2.08 inference(rename_variables,[],[70])).
% 1.90/2.08 cnf(164,plain,
% 1.90/2.08 (P6(f10(f8(x1641),x1641),x1642)),
% 1.90/2.08 inference(scs_inference,[],[69,51,70,162,2,76,81,90])).
% 1.90/2.08 cnf(165,plain,
% 1.90/2.08 (~P5(x1651,f10(f8(x1652),x1652))),
% 1.90/2.08 inference(rename_variables,[],[70])).
% 1.90/2.08 cnf(167,plain,
% 1.90/2.08 (~P5(x1671,f9(f8(f6(f24(x1671,x1671),a17))))),
% 1.90/2.08 inference(scs_inference,[],[69,51,70,162,2,76,81,90,117])).
% 1.90/2.08 cnf(169,plain,
% 1.90/2.08 (~P5(f24(f24(f24(f24(x1691,x1691),f24(x1691,f24(x1692,x1692))),f24(f24(x1691,x1691),f24(x1691,f24(x1692,x1692)))),f24(f24(f24(x1691,x1691),f24(x1691,f24(x1692,x1692))),f24(x1693,x1693))),f11(a4))),
% 1.90/2.08 inference(scs_inference,[],[69,159,51,70,162,2,76,81,90,117,149])).
% 1.90/2.08 cnf(170,plain,
% 1.90/2.08 (~P5(x1701,a4)),
% 1.90/2.08 inference(rename_variables,[],[69])).
% 1.90/2.08 cnf(172,plain,
% 1.90/2.08 (~P5(f24(f24(f24(f24(x1721,x1721),f24(x1721,f24(x1722,x1722))),f24(f24(x1721,x1721),f24(x1721,f24(x1722,x1722)))),f24(f24(f24(x1721,x1721),f24(x1721,f24(x1722,x1722))),f24(x1723,x1723))),f19(a4))),
% 1.90/2.08 inference(scs_inference,[],[69,159,170,51,70,162,2,76,81,90,117,149,148])).
% 1.90/2.08 cnf(173,plain,
% 1.90/2.08 (~P5(x1731,a4)),
% 1.90/2.08 inference(rename_variables,[],[69])).
% 1.90/2.08 cnf(175,plain,
% 1.90/2.08 (P6(f24(a25,a25),f24(a23,a23))),
% 1.90/2.08 inference(scs_inference,[],[50,69,159,170,51,70,162,2,76,81,90,117,149,148,37])).
% 1.90/2.08 cnf(176,plain,
% 1.90/2.08 (P6(x1761,x1761)),
% 1.90/2.08 inference(rename_variables,[],[50])).
% 1.90/2.08 cnf(177,plain,
% 1.90/2.08 (P6(f24(a23,a23),f24(a25,a25))),
% 1.90/2.08 inference(scs_inference,[],[50,176,69,159,170,51,70,162,2,76,81,90,117,149,148,37,36])).
% 1.90/2.08 cnf(180,plain,
% 1.90/2.08 (~P5(x1801,a4)),
% 1.90/2.08 inference(rename_variables,[],[69])).
% 1.90/2.08 cnf(181,plain,
% 1.90/2.08 (P5(f24(a23,a23),f24(x1811,f24(a25,a25)))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,69,159,170,173,51,70,162,65,2,76,81,90,117,149,148,37,36,31,30])).
% 1.90/2.08 cnf(183,plain,
% 1.90/2.08 (~P1(f10(f8(f6(f24(x1831,x1831),a17)),f6(f24(x1831,x1831),a17)))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,69,159,170,173,51,70,162,65,2,76,81,90,117,149,148,37,36,31,30,28])).
% 1.90/2.08 cnf(184,plain,
% 1.90/2.08 (~E(a17,f10(f8(f6(f24(x1841,x1841),a17)),f6(f24(x1841,x1841),a17)))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,69,159,170,173,51,70,162,65,2,76,81,90,117,149,148,37,36,31,30,28,3])).
% 1.90/2.08 cnf(187,plain,
% 1.90/2.08 (P1(a17)),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,45,55,51,59,70,162,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145])).
% 1.90/2.08 cnf(190,plain,
% 1.90/2.08 (~P5(x1901,f10(f8(x1902),x1902))),
% 1.90/2.08 inference(rename_variables,[],[70])).
% 1.90/2.08 cnf(192,plain,
% 1.90/2.08 (E(a4,f10(f8(x1921),x1921))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,45,55,51,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104])).
% 1.90/2.08 cnf(194,plain,
% 1.90/2.08 (~P5(x1941,a4)),
% 1.90/2.08 inference(rename_variables,[],[69])).
% 1.90/2.08 cnf(196,plain,
% 1.90/2.08 (P6(f10(f9(f11(f6(a21,a17))),a21),a13)),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74])).
% 1.90/2.08 cnf(198,plain,
% 1.90/2.08 (P6(a13,f10(f9(f11(f6(a21,a17))),a21))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73])).
% 1.90/2.08 cnf(208,plain,
% 1.90/2.08 (~P5(x2081,f10(a4,x2082))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102])).
% 1.90/2.08 cnf(210,plain,
% 1.90/2.08 (~P5(x2101,f10(x2102,a4))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101])).
% 1.90/2.08 cnf(212,plain,
% 1.90/2.08 (P5(a23,f24(a23,x2121))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96])).
% 1.90/2.08 cnf(218,plain,
% 1.90/2.08 (~E(f24(a23,x2181),a4)),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87])).
% 1.90/2.08 cnf(220,plain,
% 1.90/2.08 (~E(f24(x2201,a23),a4)),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86])).
% 1.90/2.08 cnf(222,plain,
% 1.90/2.08 (E(f10(a4,x2221),a4)),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79])).
% 1.90/2.08 cnf(224,plain,
% 1.90/2.08 (E(f3(f24(a25,a25)),f3(f24(a23,a23)))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27])).
% 1.90/2.08 cnf(250,plain,
% 1.90/2.08 (~P5(a25,f24(a23,a23))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,68,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99])).
% 1.90/2.08 cnf(255,plain,
% 1.90/2.08 (~P5(x2551,a4)),
% 1.90/2.08 inference(rename_variables,[],[69])).
% 1.90/2.08 cnf(262,plain,
% 1.90/2.08 (~P6(a17,a4)),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89])).
% 1.90/2.08 cnf(274,plain,
% 1.90/2.08 (P5(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f24(f24(a23,x2741),f24(a23,x2741)),a17)),a17))))))),f24(a23,x2741))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,56,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89,92,144,106,100,152])).
% 1.90/2.08 cnf(277,plain,
% 1.90/2.08 (P5(f24(f24(a23,a23),f24(a23,f24(a23,a23))),f6(a17,a17))),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,56,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89,92,144,106,100,152,124])).
% 1.90/2.08 cnf(279,plain,
% 1.90/2.08 (~P6(f24(a23,x2791),a4)),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,56,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89,92,144,106,100,152,124,77])).
% 1.90/2.08 cnf(281,plain,
% 1.90/2.08 (P9(a2)),
% 1.90/2.08 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,56,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89,92,144,106,100,152,124,77,127])).
% 1.90/2.08 cnf(307,plain,
% 1.90/2.08 (E(f24(f24(f12(f24(f24(a23,a23),f24(a23,f24(a23,a23)))),f12(f24(f24(a23,a23),f24(a23,f24(a23,a23))))),f24(f12(f24(f24(a23,a23),f24(a23,f24(a23,a23)))),f24(f22(f24(f24(a23,a23),f24(a23,f24(a23,a23)))),f22(f24(f24(a23,a23),f24(a23,f24(a23,a23))))))),f24(f24(a23,a23),f24(a23,f24(a23,a23))))),
% 1.90/2.08 inference(scs_inference,[],[277,123])).
% 1.90/2.08 cnf(313,plain,
% 1.90/2.08 (~P5(x3131,f10(f8(x3132),x3132))),
% 1.90/2.08 inference(rename_variables,[],[70])).
% 1.90/2.08 cnf(321,plain,
% 1.90/2.08 (~P5(x3211,a4)),
% 1.90/2.08 inference(rename_variables,[],[69])).
% 1.90/2.08 cnf(325,plain,
% 1.90/2.08 (~E(a4,a17)),
% 1.90/2.08 inference(scs_inference,[],[47,69,70,277,274,210,262,218,123,99,92,106,105,104,79,73])).
% 1.90/2.08 cnf(332,plain,
% 1.90/2.08 (~E(a23,a25)),
% 1.90/2.08 inference(scs_inference,[],[47,69,321,70,65,68,277,274,210,262,218,123,99,92,106,105,104,79,73,90,94,2])).
% 1.90/2.08 cnf(333,plain,
% 1.90/2.08 (P5(a4,a1)),
% 1.90/2.08 inference(scs_inference,[],[47,69,321,43,70,65,68,277,274,210,262,218,123,99,92,106,105,104,79,73,90,94,2,76])).
% 1.90/2.08 cnf(335,plain,
% 1.90/2.08 (P5(f14(f24(a23,x3351),a4),f24(a23,x3351))),
% 1.90/2.08 inference(scs_inference,[],[47,69,321,43,70,65,68,277,274,210,262,218,123,99,92,106,105,104,79,73,90,94,2,76,81])).
% 1.90/2.08 cnf(337,plain,
% 1.90/2.08 (~E(a1,f10(f8(f6(f24(x3371,x3371),a17)),f6(f24(x3371,x3371),a17)))),
% 1.90/2.08 inference(scs_inference,[],[47,69,321,43,70,65,68,277,183,274,210,262,218,123,99,92,106,105,104,79,73,90,94,2,76,81,28])).
% 1.90/2.08 cnf(340,plain,
% 1.90/2.08 (~E(a25,f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f24(f24(a23,a23),f24(a23,a23)),a17)),a17))))))))),
% 1.90/2.08 inference(scs_inference,[],[47,69,321,43,70,65,68,277,183,274,210,262,184,218,123,99,92,106,105,104,79,73,90,94,2,76,81,28,100,3])).
% 1.90/2.08 cnf(343,plain,
% 1.90/2.08 (~P6(a17,f10(f8(x3431),x3431))),
% 1.90/2.08 inference(scs_inference,[],[47,69,321,43,70,65,68,277,183,274,210,196,198,161,262,184,218,123,99,92,106,105,104,79,73,90,94,2,76,81,28,100,3,89,37])).
% 1.90/2.08 cnf(347,plain,
% 1.90/2.08 (~P5(x3471,f10(f6(x3472,x3473),f8(f6(x3472,x3473))))),
% 1.90/2.08 inference(scs_inference,[],[47,52,61,69,321,43,70,313,65,68,277,183,274,210,196,198,161,262,184,218,279,123,99,92,106,105,104,79,73,90,94,2,76,81,28,100,3,89,37,36,31])).
% 1.90/2.08 cnf(350,plain,
% 1.90/2.08 (~P5(f24(a23,a23),f9(f8(f6(f24(f24(a25,a25),f24(a25,a25)),a17))))),
% 1.90/2.08 inference(scs_inference,[],[47,157,52,61,69,321,43,70,313,65,68,277,167,183,274,210,196,198,161,262,184,218,279,123,99,92,106,105,104,79,73,90,94,2,76,81,28,100,3,89,37,36,31,30])).
% 1.90/2.08 cnf(356,plain,
% 1.90/2.08 (~E(f24(x3561,f24(x3562,x3562)),a4)),
% 1.90/2.08 inference(scs_inference,[],[47,157,52,61,60,69,321,43,70,313,65,68,277,167,183,274,175,210,196,198,161,262,184,218,279,281,123,99,92,106,105,104,79,73,90,94,2,76,81,28,100,3,89,37,36,31,30,42,93,74])).
% 1.90/2.08 cnf(360,plain,
% 1.90/2.08 (~E(a2,x3601)+E(f10(f8(f6(f24(f24(a25,a25),f24(a25,a25)),a17)),f6(f24(f24(a23,a23),f24(a23,a23)),a17)),a4)),
% 1.90/2.08 inference(scs_inference,[],[47,157,52,61,60,69,321,43,70,313,65,56,68,277,167,183,274,175,210,196,198,161,262,184,218,279,281,123,99,92,106,105,104,79,73,90,94,2,76,81,28,100,3,89,37,36,31,30,42,93,74,120,115])).
% 1.90/2.08 cnf(373,plain,
% 1.90/2.08 (E(f10(f8(f6(f24(f24(a25,a25),f24(a25,a25)),a17)),f6(f24(f24(a23,a23),f24(a23,a23)),a17)),a4)),
% 1.90/2.08 inference(equality_inference,[],[360])).
% 1.90/2.08 cnf(376,plain,
% 1.90/2.08 (P5(f14(f24(x3761,f24(x3762,x3762)),a4),f24(x3761,f24(x3762,x3762)))),
% 1.90/2.08 inference(scs_inference,[],[69,356,104])).
% 1.90/2.08 cnf(382,plain,
% 1.90/2.08 (~P5(x3821,f10(f6(x3822,x3823),f8(f6(x3822,x3823))))),
% 1.90/2.08 inference(rename_variables,[],[347])).
% 1.90/2.08 cnf(386,plain,
% 1.90/2.08 (~P1(f10(f8(x3861),x3861))),
% 1.90/2.08 inference(scs_inference,[],[66,69,70,347,325,356,277,104,74,105,99,76])).
% 1.90/2.08 cnf(390,plain,
% 1.90/2.08 (~P5(x3901,f10(f6(x3902,x3903),f8(f6(x3902,x3903))))),
% 1.90/2.08 inference(rename_variables,[],[347])).
% 1.90/2.08 cnf(394,plain,
% 1.90/2.08 (P6(f10(f6(x3941,x3942),f8(f6(x3941,x3942))),x3943)),
% 1.90/2.08 inference(scs_inference,[],[66,69,70,347,382,390,325,356,277,104,74,105,99,76,81,73,90])).
% 1.90/2.08 cnf(399,plain,
% 1.90/2.08 (~P1(f10(f8(f6(f24(f24(a25,a25),f24(a25,a25)),a17)),f6(f24(f24(a23,a23),f24(a23,a23)),a17)))),
% 1.90/2.08 inference(scs_inference,[],[158,66,69,70,347,382,390,325,356,373,277,104,74,105,99,76,81,73,90,89,28])).
% 1.90/2.08 cnf(401,plain,
% 1.90/2.08 (E(f10(f9(x4011),f8(f9(f10(f7(f9(f11(f6(a5,a17))),x4011),a13)))),f3(x4011))),
% 1.90/2.08 inference(rename_variables,[],[67])).
% 1.90/2.08 cnf(407,plain,
% 1.90/2.08 (~P5(f24(f24(a25,a25),f24(a25,f24(a25,a25))),f6(x4071,x4072))),
% 1.90/2.08 inference(scs_inference,[],[51,158,66,67,401,157,69,70,65,347,382,390,224,250,325,356,373,277,104,74,105,99,76,81,73,90,89,28,3,2,6,31,30,137])).
% 1.90/2.08 cnf(411,plain,
% 1.90/2.08 (~P6(a17,f10(f6(x4111,x4112),f8(f6(x4111,x4112))))),
% 1.90/2.08 inference(scs_inference,[],[51,158,66,67,401,157,69,70,65,347,382,390,224,250,325,343,356,373,277,104,74,105,99,76,81,73,90,89,28,3,2,6,31,30,137,154,93])).
% 1.90/2.08 cnf(415,plain,
% 1.90/2.08 (~P5(a25,a17)),
% 1.90/2.08 inference(scs_inference,[],[51,158,66,67,401,46,157,69,70,65,44,347,382,390,224,250,325,343,356,373,277,104,74,105,99,76,81,73,90,89,28,3,2,6,31,30,137,154,93,144,96])).
% 1.90/2.08 cnf(436,plain,
% 1.90/2.08 (~P5(f24(f24(x4361,x4361),f24(x4361,f24(a25,a25))),f6(x4362,x4363))),
% 1.90/2.08 inference(scs_inference,[],[415,84,83,128])).
% 1.90/2.08 cnf(438,plain,
% 1.90/2.08 (~P5(f24(f24(a25,a25),f24(a25,f24(x4381,x4381))),f6(x4382,x4383))),
% 1.90/2.08 inference(scs_inference,[],[415,84,83,128,129])).
% 1.90/2.08 cnf(442,plain,
% 1.90/2.08 (P5(a1,f24(a1,x4421))),
% 1.90/2.08 inference(scs_inference,[],[46,415,84,83,128,129,80,96])).
% 1.90/2.08 cnf(444,plain,
% 1.90/2.08 (P5(f14(f24(x4441,a23),a4),f24(x4441,a23))),
% 1.90/2.08 inference(scs_inference,[],[46,415,220,84,83,128,129,80,96,81])).
% 1.90/2.08 cnf(449,plain,
% 1.90/2.08 (~E(a17,f10(f6(x4491,x4492),f8(f6(x4491,x4492))))),
% 1.90/2.08 inference(scs_inference,[],[46,376,415,411,220,84,83,128,129,80,96,81,99,74])).
% 1.90/2.08 cnf(454,plain,
% 1.90/2.08 (~E(f10(f6(x4541,x4542),f8(f6(x4541,x4542))),a17)),
% 1.90/2.08 inference(scs_inference,[],[46,70,376,415,411,220,84,83,128,129,80,96,81,99,74,105,73])).
% 1.90/2.08 cnf(460,plain,
% 1.90/2.08 (~P6(a1,f10(f8(f6(f24(x4601,x4601),a17)),f6(f24(x4601,x4601),a17)))),
% 1.90/2.08 inference(scs_inference,[],[46,70,376,415,411,337,220,164,84,83,128,129,80,96,81,99,74,105,73,100,90,89])).
% 1.90/2.08 cnf(466,plain,
% 1.90/2.08 (~P1(f10(f6(x4661,x4662),f8(f6(x4661,x4662))))),
% 1.90/2.08 inference(scs_inference,[],[53,61,46,70,386,407,376,415,411,337,220,164,84,83,128,129,80,96,81,99,74,105,73,100,90,89,94,28])).
% 1.90/2.08 cnf(467,plain,
% 1.90/2.08 (E(f10(f6(x4671,x4672),x4673),f10(x4673,f6(x4671,x4672)))),
% 1.90/2.08 inference(rename_variables,[],[61])).
% 1.90/2.08 cnf(469,plain,
% 1.90/2.08 (~E(a1,f10(f6(f24(x4691,x4691),a17),f8(f6(f24(x4691,x4691),a17))))),
% 1.90/2.08 inference(scs_inference,[],[53,61,467,46,70,386,407,376,415,411,337,220,164,84,83,128,129,80,96,81,99,74,105,73,100,90,89,94,28,3])).
% 1.90/2.08 cnf(471,plain,
% 1.90/2.08 (~E(a1,a4)),
% 1.90/2.08 inference(scs_inference,[],[53,61,467,46,69,70,386,407,376,415,411,337,220,333,164,84,83,128,129,80,96,81,99,74,105,73,100,90,89,94,28,3,31])).
% 1.90/2.08 cnf(474,plain,
% 1.90/2.08 (~E(a1,a25)),
% 1.90/2.08 inference(scs_inference,[],[53,61,467,46,69,70,386,407,376,415,411,337,220,333,164,84,83,128,129,80,96,81,99,74,105,73,100,90,89,94,28,3,31,2,30])).
% 1.90/2.08 cnf(477,plain,
% 1.90/2.08 (~P5(a25,x4771)),
% 1.90/2.08 inference(scs_inference,[],[53,61,467,46,69,70,386,407,376,415,411,337,220,333,164,84,83,128,129,80,96,81,99,74,105,73,100,90,89,94,28,3,31,2,30,133,124])).
% 1.90/2.08 cnf(486,plain,
% 1.90/2.08 (P5(f24(f24(f24(x4861,x4862),f24(x4861,x4862)),f24(f24(x4861,x4862),f24(f24(x4861,x4862),f24(x4861,x4862)))),f6(a17,a17))),
% 1.90/2.08 inference(scs_inference,[],[56,477,153,124])).
% 1.90/2.08 cnf(492,plain,
% 1.90/2.08 (P6(f24(x4921,x4921),f24(x4922,x4921))),
% 1.90/2.08 inference(rename_variables,[],[59])).
% 1.90/2.08 cnf(497,plain,
% 1.90/2.08 (~P5(a23,f24(a25,a25))),
% 1.90/2.08 inference(scs_inference,[],[59,67,157,56,332,449,477,469,347,153,124,104,36,100,74,99])).
% 1.90/2.08 cnf(499,plain,
% 1.90/2.08 (P6(f10(a4,x4991),x4992)),
% 1.90/2.08 inference(scs_inference,[],[59,67,157,56,332,449,477,469,208,347,153,124,104,36,100,74,99,90])).
% 1.90/2.08 cnf(504,plain,
% 1.90/2.08 (E(a4,f10(f6(x5041,x5042),f8(f6(x5041,x5042))))),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,157,56,332,449,477,469,394,208,347,153,124,104,36,100,74,99,90,105,89])).
% 1.90/2.08 cnf(508,plain,
% 1.90/2.08 (~P6(f24(a1,x5081),a4)),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,157,56,69,332,449,477,469,442,394,208,347,153,124,104,36,100,74,99,90,105,89,94])).
% 1.90/2.08 cnf(509,plain,
% 1.90/2.08 (~P5(x5091,a4)),
% 1.90/2.08 inference(rename_variables,[],[69])).
% 1.90/2.08 cnf(513,plain,
% 1.90/2.08 (~E(f10(f8(f6(x5131,x5132)),f6(x5131,x5132)),a17)),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,157,61,56,69,332,449,454,477,469,442,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3])).
% 1.90/2.08 cnf(515,plain,
% 1.90/2.08 (E(f10(f6(x5151,x5152),x5153),f10(x5153,f6(x5151,x5152)))),
% 1.90/2.08 inference(rename_variables,[],[61])).
% 1.90/2.08 cnf(516,plain,
% 1.90/2.08 (E(f10(x5161,f6(x5162,x5163)),f10(f6(x5162,x5163),x5161))),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,157,61,515,56,69,332,449,454,477,469,442,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2])).
% 1.90/2.08 cnf(518,plain,
% 1.90/2.08 (P5(f24(x5181,x5182),a17)),
% 1.90/2.08 inference(rename_variables,[],[56])).
% 1.90/2.08 cnf(519,plain,
% 1.90/2.08 (~P5(f24(f24(x5191,f24(a25,a25)),f24(x5191,x5191)),f6(x5192,x5193))),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,52,157,61,515,56,69,436,350,332,449,454,477,469,442,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30])).
% 1.90/2.08 cnf(522,plain,
% 1.90/2.08 (~P5(x5221,f10(f8(x5222),x5222))),
% 1.90/2.08 inference(rename_variables,[],[70])).
% 1.90/2.08 cnf(526,plain,
% 1.90/2.08 (~P5(x5261,f9(a4))),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,52,157,61,515,56,518,69,70,436,350,332,449,454,477,469,222,442,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117])).
% 1.90/2.08 cnf(529,plain,
% 1.90/2.08 (~P5(x5291,f10(f10(f8(x5292),x5292),x5293))),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,52,157,61,515,56,518,69,70,522,436,350,332,449,454,477,469,222,442,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102])).
% 1.90/2.08 cnf(531,plain,
% 1.90/2.08 (~E(f24(f24(x5311,x5312),x5313),a4)),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,52,157,61,515,56,518,69,70,522,436,350,332,449,454,477,469,222,442,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87])).
% 1.90/2.08 cnf(533,plain,
% 1.90/2.08 (~E(f24(x5331,f24(x5332,x5333)),a4)),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,52,157,61,515,56,518,69,70,522,436,350,332,449,454,477,469,222,442,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86])).
% 1.90/2.08 cnf(535,plain,
% 1.90/2.08 (~P5(f24(f24(x5351,x5351),f24(x5351,f24(x5352,x5352))),f6(f10(f8(x5353),x5353),x5354))),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,52,157,61,515,56,518,69,70,522,436,350,332,449,454,477,469,222,442,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86,131])).
% 1.90/2.08 cnf(537,plain,
% 1.90/2.08 (~P6(a1,a4)),
% 1.90/2.08 inference(scs_inference,[],[49,59,67,52,157,61,515,56,518,69,70,522,436,350,332,449,454,477,469,222,442,471,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86,131,77])).
% 1.90/2.08 cnf(539,plain,
% 1.90/2.08 (E(f3(f10(f8(x5391),x5391)),f3(a4))),
% 1.90/2.08 inference(scs_inference,[],[161,49,59,67,52,157,61,515,56,518,69,70,522,436,350,332,449,454,477,469,222,442,471,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86,131,77,27])).
% 1.90/2.08 cnf(551,plain,
% 1.90/2.08 (E(f24(f10(f8(x5511),x5511),x5512),f24(a4,x5512))),
% 1.90/2.08 inference(scs_inference,[],[161,49,59,67,52,157,61,515,56,518,69,70,522,436,350,332,449,454,477,469,222,442,471,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86,131,77,27,25,22,21,20,19,16,14,13,11,10,9,4])).
% 1.90/2.08 cnf(557,plain,
% 1.90/2.08 (~P5(x5571,f10(f8(x5572),x5572))),
% 1.90/2.08 inference(rename_variables,[],[70])).
% 1.90/2.08 cnf(561,plain,
% 1.90/2.08 (P5(f24(x5611,x5612),f24(x5613,f24(x5611,x5612)))),
% 1.90/2.08 inference(scs_inference,[],[161,49,59,67,52,157,61,515,56,518,69,70,522,436,350,332,449,454,477,469,222,442,471,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86,131,77,27,25,22,21,20,19,16,14,13,11,10,9,4,78,126,148,147,95])).
% 1.90/2.08 cnf(565,plain,
% 1.90/2.08 (~P5(x5651,f10(x5652,f10(f8(x5653),x5653)))),
% 1.90/2.08 inference(scs_inference,[],[161,49,59,67,52,157,61,515,56,518,69,70,522,557,436,350,332,449,454,477,469,222,442,471,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86,131,77,27,25,22,21,20,19,16,14,13,11,10,9,4,78,126,148,147,95,152,101])).
% 1.90/2.08 cnf(571,plain,
% 1.90/2.08 (~P6(f24(x5711,a1),a4)),
% 1.90/2.08 inference(scs_inference,[],[161,49,59,492,67,52,157,61,515,56,518,69,509,70,522,557,436,350,332,449,454,477,469,222,442,471,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86,131,77,27,25,22,21,20,19,16,14,13,11,10,9,4,78,126,148,147,95,152,101,130,91,93])).
% 1.90/2.08 cnf(588,plain,
% 1.90/2.08 (~E(a1,f10(f6(x5881,x5882),f8(f6(x5881,x5882))))),
% 1.90/2.08 inference(scs_inference,[],[161,49,59,492,67,52,157,61,515,56,518,43,69,509,70,522,557,466,436,350,332,449,454,477,469,222,442,471,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86,131,77,27,25,22,21,20,19,16,14,13,11,10,9,4,78,126,148,147,95,152,101,130,91,93,26,24,23,18,17,15,12,8,7,5,79,81,28])).
% 1.90/2.08 cnf(589,plain,
% 1.90/2.08 (~P5(a4,f6(x5891,x5892))),
% 1.90/2.08 inference(scs_inference,[],[161,49,59,492,67,52,157,61,515,56,518,43,69,509,70,522,557,466,436,350,332,449,454,477,469,222,442,471,394,208,347,153,124,104,36,100,74,99,90,105,89,94,73,3,2,31,30,149,118,117,102,87,86,131,77,27,25,22,21,20,19,16,14,13,11,10,9,4,78,126,148,147,95,152,101,130,91,93,26,24,23,18,17,15,12,8,7,5,79,81,28,123])).
% 1.90/2.08 cnf(593,plain,
% 1.90/2.08 (E(f24(f24(f12(f24(f24(f24(x5931,x5932),f24(x5931,x5932)),f24(f24(x5931,x5932),f24(f24(x5931,x5932),f24(x5931,x5932))))),f12(f24(f24(f24(x5931,x5932),f24(x5931,x5932)),f24(f24(x5931,x5932),f24(f24(x5931,x5932),f24(x5931,x5932)))))),f24(f12(f24(f24(f24(x5931,x5932),f24(x5931,x5932)),f24(f24(x5931,x5932),f24(f24(x5931,x5932),f24(x5931,x5932))))),f24(f22(f24(f24(f24(x5931,x5932),f24(x5931,x5932)),f24(f24(x5931,x5932),f24(f24(x5931,x5932),f24(x5931,x5932))))),f22(f24(f24(f24(x5931,x5932),f24(x5931,x5932)),f24(f24(x5931,x5932),f24(f24(x5931,x5932),f24(x5931,x5932)))))))),f24(f24(f24(x5931,x5932),f24(x5931,x5932)),f24(f24(x5931,x5932),f24(f24(x5931,x5932),f24(x5931,x5932)))))),
% 1.90/2.08 inference(scs_inference,[],[486,123])).
% 1.90/2.08 cnf(595,plain,
% 1.90/2.08 (P5(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f24(f24(f24(x5951,x5952),x5953),f24(f24(x5951,x5952),x5953)),a17)),a17))))))),f24(f24(x5951,x5952),x5953))),
% 1.90/2.08 inference(scs_inference,[],[56,486,531,123,152])).
% 1.90/2.08 cnf(596,plain,
% 1.90/2.08 (~E(f24(f24(x5961,x5962),x5963),a4)),
% 1.90/2.08 inference(rename_variables,[],[531])).
% 1.90/2.08 cnf(600,plain,
% 1.90/2.08 (P6(f24(x6001,x6001),f24(x6001,x6002))),
% 1.90/2.08 inference(rename_variables,[],[60])).
% 1.90/2.08 cnf(604,plain,
% 1.90/2.08 (E(f10(f10(f8(x6041),x6041),x6042),a4)),
% 1.90/2.08 inference(scs_inference,[],[60,600,69,56,529,486,307,531,177,123,152,93,37,104])).
% 1.90/2.08 cnf(606,plain,
% 1.90/2.08 (~P5(x6061,a4)),
% 1.90/2.08 inference(rename_variables,[],[69])).
% 1.90/2.08 cnf(608,plain,
% 1.90/2.08 (~E(f24(a1,x6081),a4)),
% 1.90/2.08 inference(scs_inference,[],[60,600,69,56,529,486,307,531,508,177,123,152,93,37,104,74])).
% 1.90/2.08 cnf(610,plain,
% 1.90/2.08 (P5(f20(f24(f24(x6101,x6102),x6103)),f24(f24(x6101,x6102),x6103))),
% 1.90/2.08 inference(scs_inference,[],[60,600,69,56,529,486,307,531,596,508,177,123,152,93,37,104,74,79])).
% 1.90/2.08 cnf(612,plain,
% 1.90/2.08 (~E(f10(f8(x6121),x6121),f24(a1,x6122))),
% 1.90/2.08 inference(scs_inference,[],[60,600,164,69,56,529,486,307,531,596,508,177,123,152,93,37,104,74,79,36])).
% 1.90/2.08 cnf(613,plain,
% 1.90/2.08 (P6(f10(f8(x6131),x6131),x6132)),
% 1.90/2.08 inference(rename_variables,[],[164])).
% 1.90/2.08 cnf(639,plain,
% 1.90/2.08 (P5(a4,f8(a4))),
% 1.90/2.08 inference(scs_inference,[],[58,60,600,164,613,52,45,67,69,606,56,561,529,519,486,307,499,444,539,526,340,504,531,596,508,177,123,152,93,37,104,74,79,36,73,81,99,90,89,94,3,2,31,30,106,92])).
% 1.90/2.08 cnf(649,plain,
% 1.90/2.08 (P6(f24(f20(f24(f24(x6491,x6492),x6493)),f20(f24(f24(x6491,x6492),x6493))),f24(f24(x6491,x6492),x6493))),
% 1.90/2.08 inference(scs_inference,[],[610,106])).
% 1.90/2.08 cnf(654,plain,
% 1.90/2.08 (P5(f24(x6541,x6542),a17)),
% 1.90/2.08 inference(rename_variables,[],[56])).
% 1.90/2.08 cnf(658,plain,
% 1.90/2.08 (~P6(f24(x6581,a1),f10(f8(x6582),x6582))),
% 1.90/2.08 inference(scs_inference,[],[164,46,56,45,535,610,571,471,106,96,92,152,93])).
% 1.90/2.08 cnf(659,plain,
% 1.90/2.08 (P6(f10(f8(x6591),x6591),x6592)),
% 1.90/2.08 inference(rename_variables,[],[164])).
% 1.90/2.08 cnf(664,plain,
% 1.90/2.08 (~E(f24(x6641,a1),a4)),
% 1.90/2.08 inference(scs_inference,[],[59,164,70,46,56,45,535,610,571,184,471,106,96,92,152,93,104,37])).
% 1.90/2.08 cnf(667,plain,
% 1.90/2.08 (~P5(f10(f8(x6671),x6671),f24(f24(a1,x6672),f24(a1,x6672)))),
% 1.90/2.08 inference(scs_inference,[],[59,164,70,46,56,45,535,610,612,571,184,471,106,96,92,152,93,104,37,100])).
% 1.90/2.08 cnf(681,plain,
% 1.90/2.08 (P6(f10(x6811,f6(x6812,x6813)),f10(f6(x6812,x6813),x6811))),
% 1.90/2.08 inference(scs_inference,[],[63,59,164,659,61,70,46,56,45,535,610,438,612,571,565,184,471,106,96,92,152,93,104,37,100,74,90,89,94,73])).
% 1.90/2.08 cnf(685,plain,
% 1.90/2.08 (~P5(f10(f8(f6(x6851,x6852)),f6(x6851,x6852)),f24(a17,a17))),
% 1.90/2.08 inference(scs_inference,[],[63,59,164,659,61,70,46,56,45,535,610,438,612,513,533,571,565,184,471,106,96,92,152,93,104,37,100,74,90,89,94,73,81,99])).
% 1.90/2.08 cnf(692,plain,
% 1.90/2.08 (~E(a17,f9(f8(f6(f24(a1,a1),a17))))),
% 1.90/2.08 inference(scs_inference,[],[63,167,49,59,164,659,66,61,70,46,56,45,593,516,535,610,438,612,513,533,571,537,565,184,471,106,96,92,152,93,104,37,100,74,90,89,94,73,81,99,36,3,2,31])).
% 1.90/2.08 cnf(693,plain,
% 1.90/2.08 (~P5(x6931,f9(f8(f6(f24(x6931,x6931),a17))))),
% 1.90/2.08 inference(rename_variables,[],[167])).
% 1.90/2.08 cnf(699,plain,
% 1.90/2.08 (P5(f24(f24(a1,a1),f24(a1,f24(a1,a1))),f6(a17,a17))),
% 1.90/2.08 inference(scs_inference,[],[63,167,693,49,59,164,659,66,61,70,46,56,654,45,593,516,535,610,438,612,513,533,571,537,565,184,477,471,106,96,92,152,93,104,37,100,74,90,89,94,73,81,99,36,3,2,31,30,76,124])).
% 1.90/2.08 cnf(702,plain,
% 1.90/2.08 (~E(a1,f10(f6(x7021,x7022),f8(f6(x7021,x7022))))),
% 1.90/2.08 inference(rename_variables,[],[588])).
% 1.90/2.08 cnf(707,plain,
% 1.90/2.08 (~E(f24(x7071,a1),f10(f8(x7072),x7072))),
% 1.90/2.08 inference(scs_inference,[],[658,474,588,347,104,100,74])).
% 1.90/2.08 cnf(709,plain,
% 1.90/2.08 (~P6(a17,f9(f8(f6(f24(f24(x7091,x7092),f24(x7091,x7092)),a17))))),
% 1.90/2.08 inference(scs_inference,[],[167,56,658,474,588,347,104,100,74,94])).
% 1.90/2.08 cnf(710,plain,
% 1.90/2.08 (~P5(x7101,f9(f8(f6(f24(x7101,x7101),a17))))),
% 1.90/2.08 inference(rename_variables,[],[167])).
% 1.90/2.08 cnf(712,plain,
% 1.90/2.08 (~P6(f24(x7121,a1),f10(f6(x7122,x7123),f8(f6(x7122,x7123))))),
% 1.90/2.08 inference(scs_inference,[],[167,61,56,658,474,588,347,104,100,74,94,37])).
% 1.90/2.09 cnf(713,plain,
% 1.90/2.09 (~P6(f24(x7131,a1),f10(f8(x7132),x7132))),
% 1.90/2.09 inference(rename_variables,[],[658])).
% 1.90/2.09 cnf(714,plain,
% 1.90/2.09 (E(f10(f6(x7141,x7142),x7143),f10(x7143,f6(x7141,x7142)))),
% 1.90/2.09 inference(rename_variables,[],[61])).
% 1.90/2.09 cnf(715,plain,
% 1.90/2.09 (~E(f10(f8(x7151),x7151),f24(x7152,a1))),
% 1.90/2.09 inference(scs_inference,[],[167,61,56,658,713,474,588,347,104,100,74,94,37,73])).
% 1.90/2.09 cnf(720,plain,
% 1.90/2.09 (P5(f14(f24(x7201,a1),f10(f8(x7202),x7202)),f24(x7201,a1))),
% 1.90/2.09 inference(scs_inference,[],[167,61,56,595,658,713,474,588,347,104,100,74,94,37,73,99,90])).
% 1.90/2.09 cnf(722,plain,
% 1.90/2.09 (~E(a1,f10(f8(f6(x7221,x7222)),f6(x7221,x7222)))),
% 1.90/2.09 inference(scs_inference,[],[167,61,56,595,658,713,474,588,702,516,347,104,100,74,94,37,73,99,90,3])).
% 1.90/2.09 cnf(732,plain,
% 1.90/2.09 (E(f24(f24(f12(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f12(f24(f24(a1,a1),f24(a1,f24(a1,a1))))),f24(f12(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f24(f22(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f22(f24(f24(a1,a1),f24(a1,f24(a1,a1))))))),f24(f24(a1,a1),f24(a1,f24(a1,a1))))),
% 1.90/2.09 inference(scs_inference,[],[167,710,157,61,714,56,685,699,595,658,713,474,588,702,516,347,104,100,74,94,37,73,99,90,3,2,31,30,29,123])).
% 1.90/2.09 cnf(759,plain,
% 1.90/2.09 (P5(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f24(f24(a1,x7591),f24(a1,x7591)),a17)),a17))))))),f24(a1,x7591))),
% 1.90/2.09 inference(scs_inference,[],[56,608,152])).
% 1.90/2.09 cnf(760,plain,
% 1.90/2.09 (~E(f24(a1,x7601),a4)),
% 1.90/2.09 inference(rename_variables,[],[608])).
% 1.90/2.09 cnf(774,plain,
% 1.90/2.09 (P6(f10(f10(f8(x7741),x7741),x7742),x7743)),
% 1.90/2.09 inference(scs_inference,[],[62,60,52,56,732,707,589,608,529,152,94,73,74,37,99,90])).
% 1.90/2.09 cnf(777,plain,
% 1.90/2.09 (E(f10(f8(x7771),x7771),f10(f8(x7772),x7772))),
% 1.90/2.09 inference(scs_inference,[],[62,60,52,56,161,732,707,589,608,192,529,152,94,73,74,37,99,90,3])).
% 1.90/2.09 cnf(778,plain,
% 1.90/2.09 (E(f24(f24(a1,a1),f24(a1,f24(a1,a1))),f24(f24(f12(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f12(f24(f24(a1,a1),f24(a1,f24(a1,a1))))),f24(f12(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f24(f22(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f22(f24(f24(a1,a1),f24(a1,f24(a1,a1))))))))),
% 1.90/2.09 inference(scs_inference,[],[62,60,52,56,161,732,707,589,608,192,529,152,94,73,74,37,99,90,3,2])).
% 1.90/2.09 cnf(783,plain,
% 1.90/2.09 (P5(f9(f10(a5,f6(a17,a4))),a17)),
% 1.90/2.09 inference(scs_inference,[],[62,60,167,52,64,45,56,161,732,720,707,589,608,192,529,152,94,73,74,37,99,90,3,2,31,30,118])).
% 1.90/2.09 cnf(787,plain,
% 1.90/2.09 (~P5(x7871,f9(f10(f8(x7872),x7872)))),
% 1.90/2.09 inference(scs_inference,[],[62,169,60,167,52,64,45,56,161,732,720,707,589,608,604,192,529,152,94,73,74,37,99,90,3,2,31,30,118,149,117])).
% 1.90/2.09 cnf(790,plain,
% 1.90/2.09 (~P5(f24(f24(f24(f24(x7901,x7901),f24(x7901,f24(x7902,x7902))),f24(f24(x7901,x7901),f24(x7901,f24(x7902,x7902)))),f24(f24(f24(x7901,x7901),f24(x7901,f24(x7902,x7902))),f24(x7903,x7903))),f10(f11(a4),x7904))),
% 1.90/2.09 inference(scs_inference,[],[62,169,60,167,52,64,45,56,161,732,720,707,589,608,604,192,529,152,94,73,74,37,99,90,3,2,31,30,118,149,117,102])).
% 1.90/2.09 cnf(794,plain,
% 1.90/2.09 (~P6(f24(f24(x7941,x7942),x7943),a4)),
% 1.90/2.09 inference(scs_inference,[],[62,169,60,167,52,64,45,56,161,732,720,707,589,608,604,192,531,529,152,94,73,74,37,99,90,3,2,31,30,118,149,117,102,131,77])).
% 1.90/2.09 cnf(805,plain,
% 1.90/2.09 (~P1(f10(f6(f24(f24(a23,a23),f24(a23,a23)),a17),f8(f6(f24(f24(a25,a25),f24(a25,a25)),a17))))),
% 1.90/2.09 inference(scs_inference,[],[62,169,60,167,52,64,69,61,45,56,161,732,720,707,589,639,399,608,760,604,192,531,529,152,94,73,74,37,99,90,3,2,31,30,118,149,117,102,131,77,78,145,104,79,28])).
% 1.90/2.09 cnf(865,plain,
% 1.90/2.09 (~P6(f24(x8651,f24(x8652,x8653)),a4)),
% 1.90/2.09 inference(scs_inference,[],[59,794,93])).
% 1.90/2.09 cnf(867,plain,
% 1.90/2.09 (~P6(f24(f24(x8671,x8672),x8673),a4)),
% 1.90/2.09 inference(rename_variables,[],[794])).
% 1.90/2.09 cnf(878,plain,
% 1.90/2.09 (~E(f24(x8781,a1),f10(f6(x8782,x8783),f8(f6(x8782,x8783))))),
% 1.90/2.09 inference(scs_inference,[],[50,59,70,46,722,794,867,709,712,93,105,104,36,73,74])).
% 1.90/2.09 cnf(888,plain,
% 1.90/2.09 (E(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f24(f24(a1,a1),f24(a1,a1)),a17)),a17))))))),a1)),
% 1.90/2.09 inference(scs_inference,[],[54,50,59,52,70,46,649,759,715,722,794,867,709,712,589,93,105,104,36,73,74,94,100,37,99])).
% 1.90/2.09 cnf(910,plain,
% 1.90/2.09 (E(f9(f10(f9(x9101),f8(f9(f10(f7(f9(f11(f6(a5,a17))),x9101),a13))))),f9(f3(x9101)))),
% 1.90/2.09 inference(scs_inference,[],[54,50,59,167,67,52,70,46,45,56,649,777,805,759,715,722,794,867,709,664,712,187,589,477,699,93,105,104,36,73,74,94,100,37,99,90,2,30,3,31,152,28,89,154,145,6])).
% 1.90/2.09 cnf(911,plain,
% 1.90/2.09 (P5(f14(f24(x9111,a1),f10(f6(x9112,x9113),f8(f6(x9112,x9113)))),f24(x9111,a1))),
% 1.90/2.09 inference(scs_inference,[],[878,347,104])).
% 1.90/2.09 cnf(912,plain,
% 1.90/2.09 (~E(f24(x9121,a1),f10(f6(x9122,x9123),f8(f6(x9122,x9123))))),
% 1.90/2.09 inference(rename_variables,[],[878])).
% 1.90/2.09 cnf(920,plain,
% 1.90/2.09 (~P6(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f24(f24(a1,a1),f24(a1,a1)),a17)),a17))))))),f10(f8(f6(f24(x9201,x9201),a17)),f6(f24(x9201,x9201),a17)))),
% 1.90/2.09 inference(scs_inference,[],[48,910,878,692,888,460,347,104,73,89,36])).
% 1.90/2.09 cnf(923,plain,
% 1.90/2.09 (~P6(a17,f9(f8(f6(f24(a4,a4),a17))))),
% 1.90/2.09 inference(scs_inference,[],[45,48,167,910,878,692,888,460,347,104,73,89,36,74,94])).
% 1.90/2.09 cnf(928,plain,
% 1.90/2.09 (P6(f9(f10(f8(x9281),x9281)),x9282)),
% 1.90/2.09 inference(scs_inference,[],[45,48,167,910,878,692,888,787,460,347,104,73,89,36,74,94,100,90])).
% 1.90/2.09 cnf(931,plain,
% 1.90/2.09 (~P6(f24(x9311,f24(x9312,x9313)),f10(f8(x9314),x9314))),
% 1.90/2.09 inference(scs_inference,[],[45,48,167,161,910,878,692,865,888,787,460,347,104,73,89,36,74,94,100,90,37])).
% 1.90/2.09 cnf(939,plain,
% 1.90/2.09 (E(f24(x9391,x9392),f24(x9392,x9391))),
% 1.90/2.09 inference(rename_variables,[],[52])).
% 1.90/2.09 cnf(940,plain,
% 1.90/2.09 (~E(f24(a1,x9401),f10(f6(x9402,x9403),f8(f6(x9402,x9403))))),
% 1.90/2.09 inference(scs_inference,[],[45,172,48,167,52,939,61,161,910,790,878,912,692,865,888,787,460,347,104,73,89,36,74,94,100,90,37,99,2,31,30,3])).
% 1.90/2.09 cnf(943,plain,
% 1.90/2.09 (P5(f9(f9(f11(f6(f10(a2,f6(f9(f10(a5,f6(a17,a4))),a17)),a17)))),a17)),
% 1.90/2.09 inference(scs_inference,[],[45,172,48,167,52,939,61,161,910,790,878,912,692,865,888,783,787,460,347,44,104,73,89,36,74,94,100,90,37,99,2,31,30,3,144])).
% 1.90/2.09 cnf(970,plain,
% 1.90/2.09 (P5(f24(f24(f24(f24(x9701,x9701),f24(x9701,f24(x9702,x9702))),f24(f24(x9701,x9701),f24(x9701,f24(x9702,x9702)))),f24(f24(f24(x9701,x9701),f24(x9701,f24(x9702,x9702))),f24(x9703,x9703))),f8(f19(a4)))),
% 1.90/2.09 inference(scs_inference,[],[172,56,911,106,92])).
% 1.90/2.09 cnf(979,plain,
% 1.90/2.09 (~E(f10(f8(x9791),x9791),f24(x9792,f24(x9793,x9794)))),
% 1.90/2.09 inference(scs_inference,[],[45,172,49,56,928,931,911,106,92,105,89,73])).
% 1.90/2.09 cnf(981,plain,
% 1.90/2.09 (~E(f24(x9811,f24(x9812,x9813)),f10(f8(x9814),x9814))),
% 1.90/2.09 inference(scs_inference,[],[45,172,49,56,928,931,911,106,92,105,89,73,74])).
% 1.90/2.09 cnf(986,plain,
% 1.90/2.09 (P5(f14(f24(x9861,f24(x9862,x9863)),f10(f8(x9864),x9864)),f24(x9861,f24(x9862,x9863)))),
% 1.90/2.09 inference(scs_inference,[],[45,63,172,49,56,928,931,911,519,106,92,105,89,73,74,94,90])).
% 1.90/2.09 cnf(988,plain,
% 1.90/2.09 (E(f14(f24(a1,a1),f10(f6(x9881,x9882),f8(f6(x9881,x9882)))),a1)),
% 1.90/2.09 inference(scs_inference,[],[45,63,172,49,56,928,931,911,519,106,92,105,89,73,74,94,90,99])).
% 1.90/2.09 cnf(989,plain,
% 1.90/2.09 (P5(f14(f24(x9891,a1),f10(f6(x9892,x9893),f8(f6(x9892,x9893)))),f24(x9891,a1))),
% 1.90/2.09 inference(rename_variables,[],[911])).
% 1.90/2.09 cnf(992,plain,
% 1.90/2.09 (P5(f14(f24(a23,a23),a4),f24(a25,a25))),
% 1.90/2.09 inference(scs_inference,[],[45,63,172,49,157,56,928,931,911,940,335,519,106,92,105,89,73,74,94,90,99,2,31])).
% 1.90/2.09 cnf(996,plain,
% 1.90/2.09 (E(f10(f8(x9961),x9961),f10(f6(x9962,x9963),f8(f6(x9962,x9963))))),
% 1.90/2.09 inference(scs_inference,[],[45,63,172,49,66,167,157,56,161,928,931,911,940,335,519,504,106,92,105,89,73,74,94,90,99,2,31,30,3])).
% 1.90/2.09 cnf(1003,plain,
% 1.90/2.09 (~P5(f10(f8(x10031),x10031),f6(x10032,x10033))),
% 1.90/2.09 inference(scs_inference,[],[45,63,172,48,49,66,167,157,56,161,928,931,911,989,940,923,335,519,504,106,92,105,89,73,74,94,90,99,2,31,30,3,103,100,37,123])).
% 1.90/2.09 cnf(1005,plain,
% 1.90/2.09 (~P6(f24(f24(x10051,x10052),x10053),f10(f8(x10054),x10054))),
% 1.90/2.09 inference(scs_inference,[],[60,931,93])).
% 1.90/2.09 cnf(1007,plain,
% 1.90/2.09 (P6(f24(x10071,x10071),f24(x10071,x10072))),
% 1.90/2.09 inference(rename_variables,[],[60])).
% 1.90/2.09 cnf(1009,plain,
% 1.90/2.09 (~P5(f14(f24(x10091,f24(x10092,x10093)),f10(f8(x10094),x10094)),f8(f24(x10091,f24(x10092,x10093))))),
% 1.90/2.09 inference(scs_inference,[],[60,70,986,931,93,105])).
% 1.90/2.09 cnf(1012,plain,
% 1.90/2.09 (E(f10(f10(f8(x10121),x10121),x10122),f10(f8(x10123),x10123))),
% 1.90/2.09 inference(scs_inference,[],[60,164,70,986,774,931,93,105,89])).
% 1.90/2.09 cnf(1030,plain,
% 1.90/2.09 (P6(f10(x10301,a4),x10302)),
% 1.90/2.09 inference(scs_inference,[],[53,60,1007,164,70,986,1003,979,981,778,988,774,551,210,931,93,105,89,36,73,74,100,94,99,90])).
% 1.90/2.09 cnf(1033,plain,
% 1.90/2.09 (~P6(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f24(f24(a1,a1),f24(a1,a1)),a17)),a17))))))),f10(f6(f24(x10331,x10331),a17),f8(f6(f24(x10331,x10331),a17))))),
% 1.90/2.09 inference(scs_inference,[],[53,60,1007,164,70,61,986,1003,979,981,778,988,920,774,551,210,931,93,105,89,36,73,74,100,94,99,90,37])).
% 1.90/2.09 cnf(1038,plain,
% 1.90/2.09 (~E(f14(f24(f24(a1,x10381),f24(a1,x10381)),f10(f8(x10382),x10382)),f10(f8(x10383),x10383))),
% 1.90/2.09 inference(scs_inference,[],[53,172,60,1007,164,70,61,56,986,996,1003,979,981,778,667,988,920,774,551,210,931,93,105,89,36,73,74,100,94,99,90,37,2,31,30])).
% 1.90/2.09 cnf(1040,plain,
% 1.90/2.09 (~E(f10(f8(x10401),x10401),f24(f24(x10402,x10403),x10404))),
% 1.90/2.09 inference(scs_inference,[],[53,172,60,1007,164,52,70,61,56,986,996,1003,979,981,778,667,988,920,774,551,210,931,93,105,89,36,73,74,100,94,99,90,37,2,31,30,3])).
% 1.90/2.09 cnf(1071,plain,
% 1.90/2.09 (E(f16(f10(f9(f11(f6(a21,a17))),a21),x10711,x10712),f16(a13,x10711,x10712))),
% 1.90/2.09 inference(scs_inference,[],[46,53,172,60,1007,164,64,52,70,61,56,986,996,1003,979,981,778,667,992,988,943,920,774,551,220,210,931,93,105,89,36,73,74,100,94,99,90,37,2,31,30,3,118,102,78,87,126,149,91,131,130,77,86,148,147,16,95,20])).
% 1.90/2.09 cnf(1072,plain,
% 1.90/2.09 (E(f15(x10721,x10722,f10(f9(f11(f6(a21,a17))),a21)),f15(x10721,x10722,a13))),
% 1.90/2.09 inference(scs_inference,[],[46,53,172,60,1007,164,64,52,70,61,56,986,996,1003,979,981,778,667,992,988,943,920,774,551,220,210,931,93,105,89,36,73,74,100,94,99,90,37,2,31,30,3,118,102,78,87,126,149,91,131,130,77,86,148,147,16,95,20,14])).
% 1.90/2.09 cnf(1087,plain,
% 1.90/2.09 (E(f16(x10871,x10872,f10(f9(f11(f6(a21,a17))),a21)),f16(x10871,x10872,a13))),
% 1.90/2.09 inference(scs_inference,[],[46,53,172,60,1007,164,64,52,70,61,56,986,996,1003,979,981,778,667,992,988,943,920,774,551,220,210,931,93,105,89,36,73,74,100,94,99,90,37,2,31,30,3,118,102,78,87,126,149,91,131,130,77,86,148,147,16,95,20,14,4,101,24,23,19,11,25,13,8,7,5,27,26,22])).
% 1.90/2.09 cnf(1095,plain,
% 1.90/2.09 (P5(f20(f24(x10951,a23)),f24(x10951,a23))),
% 1.90/2.09 inference(scs_inference,[],[46,53,172,60,1007,164,64,52,70,61,56,986,996,1003,979,981,778,667,992,988,943,920,774,551,220,210,931,93,105,89,36,73,74,100,94,99,90,37,2,31,30,3,118,102,78,87,126,149,91,131,130,77,86,148,147,16,95,20,14,4,101,24,23,19,11,25,13,8,7,5,27,26,22,21,17,12,10,9,15,18,79])).
% 1.90/2.09 cnf(1111,plain,
% 1.90/2.09 (~P6(f14(f24(f24(a1,x11111),f24(a1,x11111)),f10(f8(x11112),x11112)),f10(f8(x11113),x11113))),
% 1.90/2.09 inference(scs_inference,[],[164,56,1012,1038,386,533,699,347,152,105,28,89])).
% 1.90/2.09 cnf(1112,plain,
% 1.90/2.09 (~E(f14(f24(f24(a1,x11121),f24(a1,x11121)),f10(f8(x11122),x11122)),f10(f8(x11123),x11123))),
% 1.90/2.09 inference(rename_variables,[],[1038])).
% 1.90/2.09 cnf(1131,plain,
% 1.90/2.09 (P6(f16(f10(f9(f11(f6(a21,a17))),a21),x11311,x11312),f16(a13,x11311,x11312))),
% 1.90/2.09 inference(scs_inference,[],[50,164,167,56,681,1012,1005,1040,1038,1071,1033,970,1095,386,533,699,347,152,105,28,89,73,36,74,100,99,94,90,37])).
% 1.90/2.09 cnf(1134,plain,
% 1.90/2.09 (~E(f24(x11341,f24(x11342,x11343)),f8(f24(x11341,f24(x11342,x11343))))),
% 1.90/2.09 inference(scs_inference,[],[50,164,167,56,681,1009,1012,1005,1040,1038,1112,1071,1033,970,1095,386,533,986,699,347,152,105,28,89,73,36,74,100,99,94,90,37,2,31])).
% 1.90/2.09 cnf(1155,plain,
% 1.90/2.09 (P6(a4,x11551)),
% 1.90/2.09 inference(rename_variables,[],[49])).
% 1.90/2.09 cnf(1177,plain,
% 1.90/2.09 ($false),
% 1.90/2.09 inference(scs_inference,[],[181,58,49,1155,69,157,1134,1111,1072,1087,1131,497,1030,212,1003,992,208,526,124,104,105,89,73,36,99,74,100,90,94,37,2,31]),
% 1.90/2.09 ['proof']).
% 1.90/2.09 % SZS output end Proof
% 1.90/2.09 % Total time :1.400000s
%------------------------------------------------------------------------------