TSTP Solution File: SET119-7 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET119-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 14:28:51 EDT 2023
% Result : Unsatisfiable 4.29s 4.41s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET119-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35 % Computer : n014.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 09:58:32 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 4.29/4.39 %-------------------------------------------
% 4.29/4.39 % File :CSE---1.6
% 4.29/4.39 % Problem :theBenchmark
% 4.29/4.39 % Transform :cnf
% 4.29/4.39 % Format :tptp:raw
% 4.29/4.39 % Command :java -jar mcs_scs.jar %d %s
% 4.29/4.39
% 4.29/4.39 % Result :Theorem 3.740000s
% 4.29/4.39 % Output :CNFRefutation 3.740000s
% 4.29/4.39 %-------------------------------------------
% 4.29/4.39 %--------------------------------------------------------------------------
% 4.29/4.39 % File : SET119-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 4.29/4.39 % Domain : Set Theory
% 4.29/4.39 % Problem : Corollary 1 to components of equal ordered pairs being equal
% 4.29/4.39 % Version : [Qua92] axioms : Augmented.
% 4.29/4.39 % English :
% 4.29/4.39
% 4.29/4.39 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 4.29/4.39 % Source : [Quaife]
% 4.29/4.39 % Names : OP10 cor.1 [Qua92]
% 4.29/4.39
% 4.29/4.39 % Status : Unsatisfiable
% 4.29/4.39 % Rating : 0.19 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.24 v7.3.0
% 4.29/4.39 % Syntax : Number of clauses : 167 ( 46 unt; 36 nHn; 104 RR)
% 4.29/4.39 % Number of literals : 338 ( 110 equ; 140 neg)
% 4.29/4.39 % Maximal clause size : 5 ( 2 avg)
% 4.29/4.39 % Maximal term depth : 6 ( 1 avg)
% 4.29/4.39 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 4.29/4.39 % Number of functors : 42 ( 42 usr; 10 con; 0-3 aty)
% 4.29/4.39 % Number of variables : 309 ( 53 sgn)
% 4.29/4.39 % SPC : CNF_UNS_RFO_SEQ_NHN
% 4.29/4.39
% 4.29/4.39 % Comments : Preceding lemmas are added.
% 4.29/4.39 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 4.29/4.39 % : v7.3.0 - Changed first1 and second1 to first and second.
% 4.29/4.39 %--------------------------------------------------------------------------
% 4.29/4.39 %----Include von Neuman-Bernays-Godel set theory axioms
% 4.29/4.39 include('Axioms/SET004-0.ax').
% 4.29/4.39 %--------------------------------------------------------------------------
% 4.29/4.39 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 4.29/4.39 cnf(corollary_1_to_unordered_pair,axiom,
% 4.29/4.39 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 4.29/4.39 | member(X,unordered_pair(X,Y)) ) ).
% 4.29/4.39
% 4.29/4.39 cnf(corollary_2_to_unordered_pair,axiom,
% 4.29/4.39 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 4.29/4.40 | member(Y,unordered_pair(X,Y)) ) ).
% 4.29/4.40
% 4.29/4.40 %----Corollaries to Cartesian product axiom.
% 4.29/4.40 cnf(corollary_1_to_cartesian_product,axiom,
% 4.29/4.40 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 4.29/4.40 | member(U,universal_class) ) ).
% 4.29/4.40
% 4.29/4.40 cnf(corollary_2_to_cartesian_product,axiom,
% 4.29/4.40 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 4.29/4.40 | member(V,universal_class) ) ).
% 4.29/4.40
% 4.29/4.40 %---- PARTIAL ORDER.
% 4.29/4.40 %----(PO1): reflexive.
% 4.29/4.40 cnf(subclass_is_reflexive,axiom,
% 4.29/4.40 subclass(X,X) ).
% 4.29/4.40
% 4.29/4.40 %----(PO2): antisymmetry is part of A-3.
% 4.29/4.40 %----(x < y), (y < x) --> (x = y).
% 4.29/4.40
% 4.29/4.40 %----(PO3): transitivity.
% 4.29/4.40 cnf(transitivity_of_subclass,axiom,
% 4.29/4.40 ( ~ subclass(X,Y)
% 4.29/4.40 | ~ subclass(Y,Z)
% 4.29/4.40 | subclass(X,Z) ) ).
% 4.29/4.40
% 4.29/4.40 %---- EQUALITY.
% 4.29/4.40 %----(EQ1): equality axiom.
% 4.29/4.40 %----a:x:(x = x).
% 4.29/4.40 %----This is always an axiom in the TPTP presentation.
% 4.29/4.40
% 4.29/4.40 %----(EQ2): expanded equality definition.
% 4.29/4.40 cnf(equality1,axiom,
% 4.29/4.40 ( X = Y
% 4.29/4.40 | member(not_subclass_element(X,Y),X)
% 4.29/4.40 | member(not_subclass_element(Y,X),Y) ) ).
% 4.29/4.40
% 4.29/4.40 cnf(equality2,axiom,
% 4.29/4.40 ( ~ member(not_subclass_element(X,Y),Y)
% 4.29/4.40 | X = Y
% 4.29/4.40 | member(not_subclass_element(Y,X),Y) ) ).
% 4.29/4.40
% 4.29/4.40 cnf(equality3,axiom,
% 4.29/4.40 ( ~ member(not_subclass_element(Y,X),X)
% 4.29/4.40 | X = Y
% 4.29/4.40 | member(not_subclass_element(X,Y),X) ) ).
% 4.29/4.40
% 4.29/4.40 cnf(equality4,axiom,
% 4.29/4.40 ( ~ member(not_subclass_element(X,Y),Y)
% 4.29/4.40 | ~ member(not_subclass_element(Y,X),X)
% 4.29/4.40 | X = Y ) ).
% 4.29/4.40
% 4.29/4.40 %---- SPECIAL CLASSES.
% 4.29/4.40 %----(SP1): lemma.
% 4.29/4.40 cnf(special_classes_lemma,axiom,
% 4.29/4.40 ~ member(Y,intersection(complement(X),X)) ).
% 4.29/4.40
% 4.29/4.40 %----(SP2): Existence of O (null class).
% 4.29/4.40 %----e:x:a:z:(-(z e x)).
% 4.29/4.40 cnf(existence_of_null_class,axiom,
% 4.29/4.40 ~ member(Z,null_class) ).
% 4.29/4.40
% 4.29/4.40 %----(SP3): O is a subclass of every class.
% 4.29/4.40 cnf(null_class_is_subclass,axiom,
% 4.29/4.40 subclass(null_class,X) ).
% 4.29/4.40
% 4.29/4.40 %----corollary.
% 4.29/4.40 cnf(corollary_of_null_class_is_subclass,axiom,
% 4.29/4.40 ( ~ subclass(X,null_class)
% 4.29/4.40 | X = null_class ) ).
% 4.29/4.40
% 4.29/4.40 %----(SP4): uniqueness of null class.
% 4.29/4.40 cnf(null_class_is_unique,axiom,
% 4.29/4.40 ( Z = null_class
% 4.29/4.40 | member(not_subclass_element(Z,null_class),Z) ) ).
% 4.29/4.40
% 4.29/4.40 %----(SP5): O is a set (follows from axiom of infinity).
% 4.29/4.40 cnf(null_class_is_a_set,axiom,
% 4.29/4.40 member(null_class,universal_class) ).
% 4.29/4.40
% 4.29/4.40 %---- UNORDERED PAIRS.
% 4.29/4.40 %----(UP1): unordered pair is commutative.
% 4.29/4.40 cnf(commutativity_of_unordered_pair,axiom,
% 4.29/4.40 unordered_pair(X,Y) = unordered_pair(Y,X) ).
% 4.29/4.40
% 4.29/4.40 %----(UP2): if one argument is a proper class, pair contains only the
% 4.29/4.40 %----other. In a slightly different form to the paper
% 4.29/4.40 cnf(singleton_in_unordered_pair1,axiom,
% 4.29/4.40 subclass(singleton(X),unordered_pair(X,Y)) ).
% 4.29/4.40
% 4.29/4.40 cnf(singleton_in_unordered_pair2,axiom,
% 4.29/4.40 subclass(singleton(Y),unordered_pair(X,Y)) ).
% 4.29/4.40
% 4.29/4.40 cnf(unordered_pair_equals_singleton1,axiom,
% 4.29/4.40 ( member(Y,universal_class)
% 4.29/4.40 | unordered_pair(X,Y) = singleton(X) ) ).
% 4.29/4.40
% 4.29/4.40 cnf(unordered_pair_equals_singleton2,axiom,
% 4.29/4.40 ( member(X,universal_class)
% 4.29/4.40 | unordered_pair(X,Y) = singleton(Y) ) ).
% 4.29/4.40
% 4.29/4.40 %----(UP3): if both arguments are proper classes, pair is null.
% 4.29/4.40 cnf(null_unordered_pair,axiom,
% 4.29/4.40 ( unordered_pair(X,Y) = null_class
% 4.29/4.40 | member(X,universal_class)
% 4.29/4.40 | member(Y,universal_class) ) ).
% 4.29/4.40
% 4.29/4.40 %----(UP4): left cancellation for unordered pairs.
% 4.29/4.40 cnf(left_cancellation,axiom,
% 4.29/4.40 ( unordered_pair(X,Y) != unordered_pair(X,Z)
% 4.29/4.40 | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 4.29/4.40 | Y = Z ) ).
% 4.29/4.40
% 4.29/4.40 %----(UP5): right cancellation for unordered pairs.
% 4.29/4.40 cnf(right_cancellation,axiom,
% 4.29/4.40 ( unordered_pair(X,Z) != unordered_pair(Y,Z)
% 4.29/4.40 | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
% 4.29/4.40 | X = Y ) ).
% 4.29/4.40
% 4.29/4.40 %----(UP6): corollary to (A-4).
% 4.29/4.40 cnf(corollary_to_unordered_pair_axiom1,axiom,
% 4.29/4.40 ( ~ member(X,universal_class)
% 4.29/4.40 | unordered_pair(X,Y) != null_class ) ).
% 4.29/4.40
% 4.29/4.40 cnf(corollary_to_unordered_pair_axiom2,axiom,
% 4.29/4.40 ( ~ member(Y,universal_class)
% 4.29/4.40 | unordered_pair(X,Y) != null_class ) ).
% 4.29/4.40
% 4.29/4.40 %----corollary to instantiate variables.
% 4.29/4.40 %----Not in the paper
% 4.29/4.40 cnf(corollary_to_unordered_pair_axiom3,axiom,
% 4.29/4.40 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 4.29/4.40 | unordered_pair(X,Y) != null_class ) ).
% 4.29/4.40
% 4.29/4.40 %----(UP7): if both members of a pair belong to a set, the pair
% 4.29/4.40 %----is a subset.
% 4.29/4.40 cnf(unordered_pair_is_subset,axiom,
% 4.29/4.40 ( ~ member(X,Z)
% 4.29/4.40 | ~ member(Y,Z)
% 4.29/4.40 | subclass(unordered_pair(X,Y),Z) ) ).
% 4.29/4.40
% 4.29/4.40 %---- SINGLETONS.
% 4.29/4.40 %----(SS1): every singleton is a set.
% 4.29/4.40 cnf(singletons_are_sets,axiom,
% 4.29/4.40 member(singleton(X),universal_class) ).
% 4.29/4.40
% 4.29/4.40 %----corollary, not in the paper.
% 4.29/4.40 cnf(corollary_1_to_singletons_are_sets,axiom,
% 4.29/4.40 member(singleton(Y),unordered_pair(X,singleton(Y))) ).
% 4.29/4.40
% 4.29/4.40 %----(SS2): a set belongs to its singleton.
% 4.29/4.40 %----(u = x), (u e universal_class) --> (u e {x}).
% 4.29/4.40 cnf(set_in_its_singleton,axiom,
% 4.29/4.40 ( ~ member(X,universal_class)
% 4.29/4.40 | member(X,singleton(X)) ) ).
% 4.29/4.40
% 4.29/4.40 %----corollary
% 4.29/4.40 cnf(corollary_to_set_in_its_singleton,axiom,
% 4.29/4.40 ( ~ member(X,universal_class)
% 4.29/4.40 | singleton(X) != null_class ) ).
% 4.29/4.40
% 4.29/4.40 %----Not in the paper
% 4.29/4.40 cnf(null_class_in_its_singleton,axiom,
% 4.29/4.40 member(null_class,singleton(null_class)) ).
% 4.29/4.40
% 4.29/4.40 %----(SS3): only x can belong to {x}.
% 4.29/4.40 cnf(only_member_in_singleton,axiom,
% 4.29/4.40 ( ~ member(Y,singleton(X))
% 4.29/4.40 | Y = X ) ).
% 4.29/4.40
% 4.29/4.40 %----(SS4): if x is not a set, {x} = O.
% 4.29/4.40 cnf(singleton_is_null_class,axiom,
% 4.29/4.40 ( member(X,universal_class)
% 4.29/4.40 | singleton(X) = null_class ) ).
% 4.29/4.40
% 4.29/4.40 %----(SS5): a singleton set is determined by its element.
% 4.29/4.40 cnf(singleton_identified_by_element1,axiom,
% 4.29/4.40 ( singleton(X) != singleton(Y)
% 4.29/4.40 | ~ member(X,universal_class)
% 4.29/4.40 | X = Y ) ).
% 4.29/4.40
% 4.29/4.40 cnf(singleton_identified_by_element2,axiom,
% 4.29/4.40 ( singleton(X) != singleton(Y)
% 4.29/4.40 | ~ member(Y,universal_class)
% 4.29/4.40 | X = Y ) ).
% 4.29/4.40
% 4.29/4.40 %----(SS5.5).
% 4.29/4.40 %----Not in the paper
% 4.29/4.40 cnf(singleton_in_unordered_pair3,axiom,
% 4.29/4.40 ( unordered_pair(Y,Z) != singleton(X)
% 4.29/4.40 | ~ member(X,universal_class)
% 4.29/4.40 | X = Y
% 4.29/4.40 | X = Z ) ).
% 4.29/4.40
% 4.29/4.40 %----(SS6): existence of memb.
% 4.29/4.40 %----a:x:e:u:(((u e universal_class) & x = {u}) | (-e:y:((y
% 4.29/4.40 %----e universal_class) & x = {y}) & u = x)).
% 4.29/4.40 cnf(member_exists1,axiom,
% 4.29/4.40 ( ~ member(Y,universal_class)
% 4.29/4.40 | member(member_of(singleton(Y)),universal_class) ) ).
% 4.29/4.40
% 4.29/4.40 cnf(member_exists2,axiom,
% 4.29/4.40 ( ~ member(Y,universal_class)
% 4.29/4.40 | singleton(member_of(singleton(Y))) = singleton(Y) ) ).
% 4.29/4.40
% 4.29/4.40 cnf(member_exists3,axiom,
% 4.29/4.40 ( member(member_of(X),universal_class)
% 4.29/4.40 | member_of(X) = X ) ).
% 4.29/4.40
% 4.29/4.40 cnf(member_exists4,axiom,
% 4.29/4.40 ( singleton(member_of(X)) = X
% 4.29/4.40 | member_of(X) = X ) ).
% 4.29/4.40
% 4.29/4.40 %----(SS7): uniqueness of memb of a singleton set.
% 4.29/4.40 %----a:x:a:u:(((u e universal_class) & x = {u}) ==> member_of(x) = u)
% 4.29/4.40 cnf(member_of_singleton_is_unique,axiom,
% 4.29/4.40 ( ~ member(U,universal_class)
% 4.29/4.40 | member_of(singleton(U)) = U ) ).
% 4.29/4.40
% 4.29/4.40 %----(SS8): uniqueness of memb when x is not a singleton of a set.
% 4.29/4.40 %----a:x:a:u:((e:y:((y e universal_class) & x = {y})
% 4.29/4.40 %----& u = x) | member_of(x) = u)
% 4.29/4.40 cnf(member_of_non_singleton_unique1,axiom,
% 4.29/4.40 ( member(member_of1(X),universal_class)
% 4.29/4.40 | member_of(X) = X ) ).
% 4.29/4.40
% 4.29/4.40 cnf(member_of_non_singleton_unique2,axiom,
% 4.29/4.40 ( singleton(member_of1(X)) = X
% 4.29/4.40 | member_of(X) = X ) ).
% 4.29/4.40
% 4.29/4.40 %----(SS9): corollary to (SS1).
% 4.29/4.40 cnf(corollary_2_to_singletons_are_sets,axiom,
% 4.29/4.40 ( singleton(member_of(X)) != X
% 4.29/4.40 | member(X,universal_class) ) ).
% 4.29/4.40
% 4.29/4.40 %----(SS10).
% 4.29/4.41 cnf(property_of_singletons1,axiom,
% 4.29/4.41 ( singleton(member_of(X)) != X
% 4.29/4.41 | ~ member(Y,X)
% 4.29/4.41 | member_of(X) = Y ) ).
% 4.29/4.41
% 4.29/4.41 %----(SS11).
% 4.29/4.41 cnf(property_of_singletons2,axiom,
% 4.29/4.41 ( ~ member(X,Y)
% 4.29/4.41 | subclass(singleton(X),Y) ) ).
% 4.29/4.41
% 4.29/4.41 %----(SS12): there are at most two subsets of a singleton.
% 4.29/4.41 cnf(two_subsets_of_singleton,axiom,
% 4.29/4.41 ( ~ subclass(X,singleton(Y))
% 4.29/4.41 | X = null_class
% 4.29/4.41 | singleton(Y) = X ) ).
% 4.29/4.41
% 4.29/4.41 %----(SS13): a class contains 0, 1, or at least 2 members.
% 4.29/4.41 cnf(number_of_elements_in_class,axiom,
% 4.29/4.41 ( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X,null_class))),X),null_class),intersection(complement(singleton(not_subclass_element(X,null_class))),X))
% 4.29/4.41 | singleton(not_subclass_element(X,null_class)) = X
% 4.29/4.41 | X = null_class ) ).
% 4.29/4.41
% 4.29/4.41 %----corollaries.
% 4.29/4.41 cnf(corollary_2_to_number_of_elements_in_class,axiom,
% 4.29/4.41 ( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X,null_class))),X),null_class),X)
% 4.29/4.41 | singleton(not_subclass_element(X,null_class)) = X
% 4.29/4.41 | X = null_class ) ).
% 4.29/4.41
% 4.29/4.41 cnf(corollary_1_to_number_of_elements_in_class,axiom,
% 4.29/4.41 ( not_subclass_element(intersection(complement(singleton(not_subclass_element(X,null_class))),X),null_class) != not_subclass_element(X,null_class)
% 4.29/4.41 | singleton(not_subclass_element(X,null_class)) = X
% 4.29/4.41 | X = null_class ) ).
% 4.29/4.41
% 4.29/4.41 %----(SS14): relation to ordered pair.
% 4.29/4.41 %----It looks like we could simplify Godel's axioms by taking singleton
% 4.29/4.41 %----as a primitive and using the next as a definition. Not in the paper
% 4.29/4.41 cnf(unordered_pairs_and_singletons,axiom,
% 4.29/4.41 unordered_pair(X,Y) = union(singleton(X),singleton(Y)) ).
% 4.29/4.41
% 4.29/4.41 %---- ORDERED PAIRS.
% 4.29/4.41 %----(OP1): an ordered pair is a set.
% 4.29/4.41 cnf(ordered_pair_is_set,axiom,
% 4.29/4.41 member(ordered_pair(X,Y),universal_class) ).
% 4.29/4.41
% 4.29/4.41 %----(OP2): members of ordered pair.
% 4.29/4.41 cnf(singleton_member_of_ordered_pair,axiom,
% 4.29/4.41 member(singleton(X),ordered_pair(X,Y)) ).
% 4.29/4.41
% 4.29/4.41 cnf(unordered_pair_member_of_ordered_pair,axiom,
% 4.29/4.41 member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)) ).
% 4.29/4.41
% 4.29/4.41 %----(OP3): special cases.
% 4.29/4.41 cnf(property_1_of_ordered_pair,axiom,
% 4.29/4.41 ( unordered_pair(singleton(X),unordered_pair(X,null_class)) = ordered_pair(X,Y)
% 4.29/4.41 | member(Y,universal_class) ) ).
% 4.29/4.41
% 4.29/4.41 cnf(property_2_of_ordered_pair,axiom,
% 4.29/4.41 ( ~ member(Y,universal_class)
% 4.29/4.41 | unordered_pair(null_class,singleton(singleton(Y))) = ordered_pair(X,Y)
% 4.29/4.41 | member(X,universal_class) ) ).
% 4.29/4.41
% 4.29/4.41 cnf(property_3_of_ordered_pair,axiom,
% 4.29/4.41 ( unordered_pair(null_class,singleton(null_class)) = ordered_pair(X,Y)
% 4.29/4.41 | member(X,universal_class)
% 4.29/4.41 | member(Y,universal_class) ) ).
% 4.29/4.41
% 4.29/4.41 %----(OP4)-(OP5): an ordered pair uniquely determines its components.
% 4.29/4.41 %----(OP4). This OP10 from the paper. OP4 is now omitted
% 4.29/4.41 cnf(ordered_pair_determines_components1,axiom,
% 4.29/4.41 ( ordered_pair(W,X) != ordered_pair(Y,Z)
% 4.29/4.41 | ~ member(W,universal_class)
% 4.29/4.41 | W = Y ) ).
% 4.29/4.41
% 4.29/4.41 %----(OP5). This OP11 from the paper. OP5 is now omitted
% 4.29/4.41 cnf(ordered_pair_determines_components2,axiom,
% 4.29/4.41 ( ordered_pair(W,X) != ordered_pair(Y,Z)
% 4.29/4.41 | ~ member(X,universal_class)
% 4.29/4.41 | X = Z ) ).
% 4.29/4.41
% 4.29/4.41 %----(OP6): existence of 1st and 2nd.
% 4.29/4.41 %----a:x:e:u:e:v:((([u,v] e cross_product(universal_class,
% 4.29/4.41 %----universal_class)) & x = [u,v]) | (-e:y:e:z:(([y,z] e cross_product(
% 4.29/4.41 %----universal_class,universal_class)) & x = [y,z]) & u = x & v = x)).
% 4.29/4.41 cnf(existence_of_1st_and_2nd_1,axiom,
% 4.29/4.41 ( ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 4.29/4.41 | member(ordered_pair(first(ordered_pair(Y,Z)),second(ordered_pair(Y,Z))),cross_product(universal_class,universal_class)) ) ).
% 4.29/4.41
% 4.29/4.41 %----next is subsumed by Axiom B5'-b ([y,z]
% 4.29/4.41 %----e cross_product(universal_class,universal_class)) -->
% 4.29/4.41 %----([first([y,z]),second([y,z])] = [y,z]).
% 4.29/4.41
% 4.29/4.41 cnf(existence_of_1st_and_2nd_2,axiom,
% 4.29/4.41 ( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))
% 4.29/4.41 | first(X) = X ) ).
% 4.29/4.41
% 4.29/4.41 cnf(existence_of_1st_and_2nd_3,axiom,
% 4.29/4.41 ( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))
% 4.29/4.41 | second(X) = X ) ).
% 4.29/4.41
% 4.29/4.41 cnf(existence_of_1st_and_2nd_4,axiom,
% 4.29/4.41 ( ordered_pair(first(X),second(X)) = X
% 4.29/4.41 | first(X) = X ) ).
% 4.29/4.41
% 4.29/4.41 cnf(existence_of_1st_and_2nd_5,axiom,
% 4.29/4.41 ( ordered_pair(first(X),second(X)) = X
% 4.29/4.41 | second(X) = X ) ).
% 4.29/4.41
% 4.29/4.41 %----(OP7): uniqueness of 1st and 2nd when x is an ordered pair of sets.
% 4.29/4.41 %----a:x:a:u:a:v:([u,v] e cross_product(universal_class,universal_class)
% 4.29/4.41 %---- & x = [u,v] ==> first(x) = u & second(x) = v)
% 4.29/4.41 cnf(unique_1st_and_2nd_in_pair_of_sets1,axiom,
% 4.29/4.41 ( ~ member(ordered_pair(U,V),cross_product(universal_class,universal_class))
% 4.29/4.41 | first(ordered_pair(U,V)) = U ) ).
% 4.29/4.41
% 4.29/4.41 cnf(unique_1st_and_2nd_in_pair_of_sets2,axiom,
% 4.29/4.41 ( ~ member(ordered_pair(U,V),cross_product(universal_class,universal_class))
% 4.29/4.41 | second(ordered_pair(U,V)) = V ) ).
% 4.29/4.41
% 4.29/4.41 %----(OP8): uniqueness of 1st and 2nd when x is not an ordered pair
% 4.29/4.41 %----of sets. a:x:a:u:a:v:((e:y:e:z:(([y,z]
% 4.29/4.41 %----e cross_product(universal_class, universal_class)) & x = [y,z])
% 4.29/4.41 %----& u = x & v = x) | first(x) = u & second(x) = v)
% 4.29/4.41 cnf(unique_1st_and_2nd_in_pair_of_non_sets1,axiom,
% 4.29/4.41 ( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))
% 4.29/4.41 | first(X) = X ) ).
% 4.29/4.41
% 4.29/4.41 cnf(unique_1st_and_2nd_in_pair_of_non_sets2,axiom,
% 4.29/4.41 ( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))
% 4.29/4.41 | second(X) = X ) ).
% 4.29/4.41
% 4.29/4.41 cnf(unique_1st_and_2nd_in_pair_of_non_sets3,axiom,
% 4.29/4.41 ( ordered_pair(first(X),second(X)) = X
% 4.29/4.41 | first(X) = X ) ).
% 4.29/4.41
% 4.29/4.41 cnf(unique_1st_and_2nd_in_pair_of_non_sets4,axiom,
% 4.29/4.41 ( ordered_pair(first(X),second(X)) = X
% 4.29/4.41 | second(X) = X ) ).
% 4.29/4.41
% 4.29/4.41 %----(OP9): corollaries to (OP1).
% 4.29/4.41 cnf(corollary_1_to_ordered_pairs_are_sets,axiom,
% 4.29/4.41 ( ordered_pair(first(X),second(X)) != X
% 4.29/4.41 | member(X,universal_class) ) ).
% 4.29/4.41
% 4.29/4.41 cnf(corollary_12to_ordered_pairs_are_sets,axiom,
% 4.29/4.41 ( ~ member(X,cross_product(universal_class,universal_class))
% 4.29/4.41 | member(X,universal_class) ) ).
% 4.29/4.41
% 4.29/4.41 cnf(prove_corollary_1_to_OP_determines_components1_1,negated_conjecture,
% 4.29/4.41 ~ member(x,universal_class) ).
% 4.29/4.41
% 4.29/4.41 cnf(prove_corollary_1_to_OP_determines_components1_2,negated_conjecture,
% 4.29/4.41 first(ordered_pair(x,y)) != ordered_pair(x,y) ).
% 4.29/4.41
% 4.29/4.41 %--------------------------------------------------------------------------
% 4.29/4.41 %-------------------------------------------
% 4.29/4.41 % Proof found
% 4.29/4.41 % SZS status Theorem for theBenchmark
% 4.29/4.41 % SZS output start Proof
% 4.29/4.41 %ClaNum:196(EqnAxiom:44)
% 4.29/4.41 %VarNum:1146(SingletonVarNum:272)
% 4.29/4.41 %MaxLitNum:5
% 4.29/4.41 %MaxfuncDepth:24
% 4.29/4.41 %SharedTerms:42
% 4.29/4.41 %goalClause: 72 75
% 4.29/4.41 %singleGoalClaCount:2
% 4.29/4.41 [45]P1(a1)
% 4.29/4.41 [46]P2(a2)
% 4.29/4.41 [47]P5(a4,a19)
% 4.29/4.41 [48]P5(a1,a19)
% 4.29/4.41 [72]~P5(a26,a19)
% 4.29/4.41 [53]P6(a5,f6(a19,a19))
% 4.29/4.41 [54]P6(a20,f6(a19,a19))
% 4.29/4.41 [55]P5(a4,f25(a4,a4))
% 4.29/4.41 [64]E(f10(f9(f11(f6(a23,a19))),a23),a13)
% 4.29/4.41 [75]~E(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f25(f25(a26,a26),f25(a26,f25(a27,a27))))
% 4.29/4.41 [70]E(f10(f6(a19,a19),f10(f6(a19,a19),f8(f7(f8(a5),f9(f11(f6(a5,a19))))))),a23)
% 4.29/4.41 [49]P6(x491,a19)
% 4.29/4.41 [50]P6(a4,x501)
% 4.29/4.41 [51]P6(x511,x511)
% 4.29/4.41 [73]~P5(x731,a4)
% 4.29/4.41 [62]P6(f21(x621),f6(f6(a19,a19),a19))
% 4.29/4.41 [63]P6(f11(x631),f6(f6(a19,a19),a19))
% 4.29/4.41 [71]E(f10(f9(x711),f8(f9(f10(f7(f9(f11(f6(a5,a19))),x711),a13)))),f3(x711))
% 4.29/4.41 [52]E(f25(x521,x522),f25(x522,x521))
% 4.29/4.41 [56]P5(f25(x561,x562),a19)
% 4.29/4.41 [58]P6(f7(x581,x582),f6(a19,a19))
% 4.29/4.41 [59]P6(f25(x591,x591),f25(x592,x591))
% 4.29/4.41 [60]P6(f25(x601,x601),f25(x601,x602))
% 4.29/4.41 [65]P5(f25(x651,x651),f25(x652,f25(x651,x651)))
% 4.29/4.41 [74]~P5(x741,f10(f8(x742),x742))
% 4.29/4.41 [67]P5(f25(x671,x671),f25(f25(x671,x671),f25(x671,f25(x672,x672))))
% 4.29/4.41 [69]P5(f25(x691,f25(x692,x692)),f25(f25(x691,x691),f25(x691,f25(x692,x692))))
% 4.29/4.41 [68]E(f8(f10(f8(f25(x681,x681)),f8(f25(x682,x682)))),f25(x681,x682))
% 4.29/4.41 [61]E(f10(f6(x611,x612),x613),f10(x613,f6(x611,x612)))
% 4.29/4.41 [76]~P7(x761)+P2(x761)
% 4.29/4.41 [77]~P8(x771)+P2(x771)
% 4.29/4.41 [80]~P1(x801)+P6(a1,x801)
% 4.29/4.41 [81]~P1(x811)+P5(a4,x811)
% 4.29/4.41 [82]~P6(x821,a4)+E(x821,a4)
% 4.29/4.41 [84]P5(f22(x841),x841)+E(x841,a4)
% 4.29/4.41 [85]E(f14(x851),x851)+P5(f14(x851),a19)
% 4.29/4.41 [86]E(f14(x861),x861)+P5(f15(x861),a19)
% 4.29/4.41 [87]P5(x871,a19)+E(f25(x871,x871),a4)
% 4.29/4.41 [90]E(x901,a4)+P5(f16(x901,a4),x901)
% 4.29/4.41 [94]~P2(x941)+P6(x941,f6(a19,a19))
% 4.29/4.41 [112]P5(x1121,a19)+~P5(x1121,f6(a19,a19))
% 4.29/4.41 [83]E(x831,a4)+E(f10(x831,f22(x831)),a4)
% 4.29/4.41 [88]E(f14(x881),x881)+E(f25(f14(x881),f14(x881)),x881)
% 4.29/4.41 [89]E(f14(x891),x891)+E(f25(f15(x891),f15(x891)),x891)
% 4.29/4.41 [99]~P5(x991,a19)+E(f14(f25(x991,x991)),x991)
% 4.29/4.41 [103]P5(x1031,a19)+~E(f25(f14(x1031),f14(x1031)),x1031)
% 4.29/4.41 [128]~P5(x1281,a19)+P5(f14(f25(x1281,x1281)),a19)
% 4.29/4.41 [109]~P8(x1091)+E(f6(f9(f9(x1091)),f9(f9(x1091))),f9(x1091))
% 4.29/4.41 [132]~P7(x1321)+P2(f9(f11(f6(x1321,a19))))
% 4.29/4.41 [136]~P5(x1361,a19)+E(f25(f14(f25(x1361,x1361)),f14(f25(x1361,x1361))),f25(x1361,x1361))
% 4.29/4.41 [139]~P5(x1391,a19)+P5(f9(f10(a5,f6(a19,x1391))),a19)
% 4.29/4.41 [143]E(f12(x1431),x1431)+E(f25(f25(f12(x1431),f12(x1431)),f25(f12(x1431),f25(f24(x1431),f24(x1431)))),x1431)
% 4.29/4.41 [145]E(f24(x1451),x1451)+E(f25(f25(f12(x1451),f12(x1451)),f25(f12(x1451),f25(f24(x1451),f24(x1451)))),x1451)
% 4.29/4.41 [146]~P9(x1461)+P6(f7(x1461,f9(f11(f6(x1461,a19)))),a13)
% 4.29/4.41 [147]~P2(x1471)+P6(f7(x1471,f9(f11(f6(x1471,a19)))),a13)
% 4.29/4.41 [148]~P8(x1481)+P6(f9(f9(f11(f6(x1481,a19)))),f9(f9(x1481)))
% 4.29/4.41 [152]P5(x1521,a19)+~E(f25(f25(f12(x1521),f12(x1521)),f25(f12(x1521),f25(f24(x1521),f24(x1521)))),x1521)
% 4.29/4.41 [157]P9(x1571)+~P6(f7(x1571,f9(f11(f6(x1571,a19)))),a13)
% 4.29/4.41 [161]E(f12(x1611),x1611)+P5(f25(f25(f12(x1611),f12(x1611)),f25(f12(x1611),f25(f24(x1611),f24(x1611)))),f6(a19,a19))
% 4.29/4.41 [163]E(f24(x1631),x1631)+P5(f25(f25(f12(x1631),f12(x1631)),f25(f12(x1631),f25(f24(x1631),f24(x1631)))),f6(a19,a19))
% 4.29/4.41 [181]~P1(x1811)+P6(f9(f9(f11(f6(f10(a20,f6(x1811,a19)),a19)))),x1811)
% 4.29/4.41 [186]~P5(x1861,a19)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1861),a19)),a19))))),a19)
% 4.29/4.41 [78]~E(x782,x781)+P6(x781,x782)
% 4.29/4.41 [79]~E(x791,x792)+P6(x791,x792)
% 4.29/4.41 [92]P5(x922,a19)+E(f25(x921,x922),f25(x921,x921))
% 4.29/4.41 [93]P5(x931,a19)+E(f25(x931,x932),f25(x932,x932))
% 4.29/4.41 [95]~P5(x952,a19)+~E(f25(x951,x952),a4)
% 4.29/4.41 [96]~P5(x961,a19)+~E(f25(x961,x962),a4)
% 4.29/4.41 [100]P6(x1001,x1002)+P5(f16(x1001,x1002),x1001)
% 4.29/4.41 [101]~P5(x1011,x1012)+~P5(x1011,f8(x1012))
% 4.29/4.41 [106]~P5(x1061,a19)+P5(x1061,f25(x1062,x1061))
% 4.29/4.41 [107]~P5(x1071,a19)+P5(x1071,f25(x1071,x1072))
% 4.29/4.41 [110]~P5(x1101,x1102)+P6(f25(x1101,x1101),x1102)
% 4.29/4.41 [111]E(x1111,x1112)+~P5(x1111,f25(x1112,x1112))
% 4.29/4.41 [120]P6(x1201,x1202)+~P5(f16(x1201,x1202),x1202)
% 4.29/4.41 [137]~P5(x1372,f9(x1371))+~E(f10(x1371,f6(f25(x1372,x1372),a19)),a4)
% 4.29/4.41 [141]P5(x1412,a19)+E(f25(f25(x1411,x1411),f25(x1411,f25(x1412,x1412))),f25(f25(x1411,x1411),f25(x1411,a4)))
% 4.29/4.41 [156]P5(x1561,x1562)+~P5(f25(f25(x1561,x1561),f25(x1561,f25(x1562,x1562))),a5)
% 4.29/4.41 [174]~P5(f25(f25(x1741,x1741),f25(x1741,f25(x1742,x1742))),a20)+E(f8(f10(f8(x1741),f8(f25(x1741,x1741)))),x1742)
% 4.29/4.41 [175]~P5(f25(f25(x1751,x1751),f25(x1751,f25(x1752,x1752))),f6(a19,a19))+E(f12(f25(f25(x1751,x1751),f25(x1751,f25(x1752,x1752)))),x1751)
% 4.29/4.41 [176]~P5(f25(f25(x1761,x1761),f25(x1761,f25(x1762,x1762))),f6(a19,a19))+E(f24(f25(f25(x1761,x1761),f25(x1761,f25(x1762,x1762)))),x1762)
% 4.29/4.41 [191]~P5(f25(f25(x1911,x1911),f25(x1911,f25(x1912,x1912))),f6(a19,a19))+P5(f25(f25(f12(f25(f25(x1911,x1911),f25(x1911,f25(x1912,x1912)))),f12(f25(f25(x1911,x1911),f25(x1911,f25(x1912,x1912))))),f25(f12(f25(f25(x1911,x1911),f25(x1911,f25(x1912,x1912)))),f25(f24(f25(f25(x1911,x1911),f25(x1911,f25(x1912,x1912)))),f24(f25(f25(x1911,x1911),f25(x1911,f25(x1912,x1912))))))),f6(a19,a19))
% 4.29/4.41 [125]P2(x1251)+~P3(x1251,x1252,x1253)
% 4.29/4.41 [126]P8(x1261)+~P4(x1262,x1263,x1261)
% 4.29/4.41 [127]P8(x1271)+~P4(x1272,x1271,x1273)
% 4.29/4.41 [135]~P4(x1351,x1352,x1353)+P3(x1351,x1352,x1353)
% 4.29/4.41 [118]P5(x1181,x1182)+~P5(x1181,f10(x1183,x1182))
% 4.29/4.41 [119]P5(x1191,x1192)+~P5(x1191,f10(x1192,x1193))
% 4.29/4.41 [129]~P3(x1292,x1291,x1293)+E(f9(f9(x1291)),f9(x1292))
% 4.29/4.41 [149]~P5(x1491,f6(x1492,x1493))+E(f25(f25(f12(x1491),f12(x1491)),f25(f12(x1491),f25(f24(x1491),f24(x1491)))),x1491)
% 4.29/4.41 [153]~P3(x1531,x1533,x1532)+P6(f9(f9(f11(f6(x1531,a19)))),f9(f9(x1532)))
% 4.29/4.41 [158]P5(x1581,a19)+~P5(f25(f25(x1582,x1582),f25(x1582,f25(x1581,x1581))),f6(x1583,x1584))
% 4.29/4.41 [159]P5(x1591,a19)+~P5(f25(f25(x1591,x1591),f25(x1591,f25(x1592,x1592))),f6(x1593,x1594))
% 4.29/4.41 [164]P5(x1641,x1642)+~P5(f25(f25(x1643,x1643),f25(x1643,f25(x1641,x1641))),f6(x1644,x1642))
% 4.29/4.41 [165]P5(x1651,x1652)+~P5(f25(f25(x1651,x1651),f25(x1651,f25(x1653,x1653))),f6(x1652,x1654))
% 4.29/4.41 [166]~E(f25(x1661,x1662),a4)+~P5(f25(f25(x1661,x1661),f25(x1661,f25(x1662,x1662))),f6(x1663,x1664))
% 4.29/4.41 [170]P5(x1701,f25(x1702,x1701))+~P5(f25(f25(x1702,x1702),f25(x1702,f25(x1701,x1701))),f6(x1703,x1704))
% 4.29/4.41 [171]P5(x1711,f25(x1711,x1712))+~P5(f25(f25(x1711,x1711),f25(x1711,f25(x1712,x1712))),f6(x1713,x1714))
% 4.29/4.41 [187]~P5(f25(f25(f25(f25(x1873,x1873),f25(x1873,f25(x1871,x1871))),f25(f25(x1873,x1873),f25(x1873,f25(x1871,x1871)))),f25(f25(f25(x1873,x1873),f25(x1873,f25(x1871,x1871))),f25(x1872,x1872))),f21(x1874))+P5(f25(f25(f25(f25(x1871,x1871),f25(x1871,f25(x1872,x1872))),f25(f25(x1871,x1871),f25(x1871,f25(x1872,x1872)))),f25(f25(f25(x1871,x1871),f25(x1871,f25(x1872,x1872))),f25(x1873,x1873))),x1874)
% 4.29/4.41 [188]~P5(f25(f25(f25(f25(x1882,x1882),f25(x1882,f25(x1881,x1881))),f25(f25(x1882,x1882),f25(x1882,f25(x1881,x1881)))),f25(f25(f25(x1882,x1882),f25(x1882,f25(x1881,x1881))),f25(x1883,x1883))),f11(x1884))+P5(f25(f25(f25(f25(x1881,x1881),f25(x1881,f25(x1882,x1882))),f25(f25(x1881,x1881),f25(x1881,f25(x1882,x1882)))),f25(f25(f25(x1881,x1881),f25(x1881,f25(x1882,x1882))),f25(x1883,x1883))),x1884)
% 4.29/4.41 [193]~P5(f25(f25(x1934,x1934),f25(x1934,f25(x1931,x1931))),f7(x1932,x1933))+P5(x1931,f9(f9(f11(f6(f10(x1932,f6(f9(f9(f11(f6(f10(x1933,f6(f25(x1934,x1934),a19)),a19)))),a19)),a19)))))
% 4.29/4.41 [140]~P2(x1401)+P7(x1401)+~P2(f9(f11(f6(x1401,a19))))
% 4.29/4.41 [167]P2(x1671)+~P6(x1671,f6(a19,a19))+~P6(f7(x1671,f9(f11(f6(x1671,a19)))),a13)
% 4.29/4.41 [178]E(x1781,a4)+E(f25(f16(x1781,a4),f16(x1781,a4)),x1781)+~E(f16(f10(f8(f25(f16(x1781,a4),f16(x1781,a4))),x1781),a4),f16(x1781,a4))
% 4.29/4.41 [180]E(x1801,a4)+E(f25(f16(x1801,a4),f16(x1801,a4)),x1801)+P5(f16(f10(f8(f25(f16(x1801,a4),f16(x1801,a4))),x1801),a4),x1801)
% 4.29/4.41 [183]E(x1831,a4)+E(f25(f16(x1831,a4),f16(x1831,a4)),x1831)+P5(f16(f10(f8(f25(f16(x1831,a4),f16(x1831,a4))),x1831),a4),f10(f8(f25(f16(x1831,a4),f16(x1831,a4))),x1831))
% 4.29/4.41 [184]P1(x1841)+~P5(a4,x1841)+~P6(f9(f9(f11(f6(f10(a20,f6(x1841,a19)),a19)))),x1841)
% 4.29/4.41 [192]~P5(x1921,a19)+E(x1921,a4)+P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(x1921,x1921),a19)),a19))))))),x1921)
% 4.29/4.41 [98]~P6(x982,x981)+~P6(x981,x982)+E(x981,x982)
% 4.29/4.41 [91]P5(x912,a19)+P5(x911,a19)+E(f25(x911,x912),a4)
% 4.29/4.41 [102]P5(x1021,x1022)+P5(x1021,f8(x1022))+~P5(x1021,a19)
% 4.29/4.41 [113]E(x1131,x1132)+~E(f25(x1131,x1131),f25(x1132,x1132))+~P5(x1132,a19)
% 4.29/4.41 [114]E(x1141,x1142)+~E(f25(x1141,x1141),f25(x1142,x1142))+~P5(x1141,a19)
% 4.29/4.41 [121]E(f25(x1212,x1212),x1211)+~P6(x1211,f25(x1212,x1212))+E(x1211,a4)
% 4.29/4.41 [122]E(x1221,x1222)+P5(f16(x1222,x1221),x1222)+P5(f16(x1221,x1222),x1221)
% 4.29/4.41 [131]E(x1311,x1312)+P5(f16(x1312,x1311),x1312)+~P5(f16(x1311,x1312),x1312)
% 4.29/4.41 [133]E(x1331,x1332)+~P5(f16(x1332,x1331),x1331)+~P5(f16(x1331,x1332),x1332)
% 4.29/4.41 [117]~P5(x1172,x1171)+E(f14(x1171),x1172)+~E(f25(f14(x1171),f14(x1171)),x1171)
% 4.29/4.41 [134]P5(x1342,f9(x1341))+~P5(x1342,a19)+E(f10(x1341,f6(f25(x1342,x1342),a19)),a4)
% 4.29/4.41 [138]P5(x1382,a19)+P5(x1381,a19)+E(f25(f25(x1381,x1381),f25(x1381,f25(x1382,x1382))),f25(a4,f25(a4,a4)))
% 4.29/4.41 [150]P5(x1502,a19)+~P5(x1501,a19)+E(f25(a4,f25(f25(x1501,x1501),f25(x1501,x1501))),f25(f25(x1502,x1502),f25(x1502,f25(x1501,x1501))))
% 4.29/4.41 [177]~P5(x1771,x1772)+~P5(f25(f25(x1771,x1771),f25(x1771,f25(x1772,x1772))),f6(a19,a19))+P5(f25(f25(x1771,x1771),f25(x1771,f25(x1772,x1772))),a5)
% 4.29/4.41 [179]~P5(f25(f25(x1791,x1791),f25(x1791,f25(x1792,x1792))),f6(a19,a19))+~E(f8(f10(f8(x1791),f8(f25(x1791,x1791)))),x1792)+P5(f25(f25(x1791,x1791),f25(x1791,f25(x1792,x1792))),a20)
% 4.29/4.41 [182]~P2(x1821)+~P5(x1822,a19)+P5(f9(f9(f11(f6(f10(x1821,f6(x1822,a19)),a19)))),a19)
% 4.29/4.41 [104]~P6(x1041,x1043)+P6(x1041,x1042)+~P6(x1043,x1042)
% 4.29/4.41 [105]~P5(x1051,x1053)+P5(x1051,x1052)+~P6(x1053,x1052)
% 4.29/4.41 [115]E(x1151,x1152)+E(x1151,x1153)+~P5(x1151,f25(x1153,x1152))
% 4.29/4.41 [123]~P5(x1231,x1233)+~P5(x1231,x1232)+P5(x1231,f10(x1232,x1233))
% 4.29/4.41 [124]~P5(x1242,x1243)+~P5(x1241,x1243)+P6(f25(x1241,x1242),x1243)
% 4.29/4.41 [168]E(x1681,x1682)+~E(f25(x1683,x1681),f25(x1683,x1682))+~P5(f25(f25(x1681,x1681),f25(x1681,f25(x1682,x1682))),f6(a19,a19))
% 4.29/4.41 [169]E(x1691,x1692)+~E(f25(x1691,x1693),f25(x1692,x1693))+~P5(f25(f25(x1691,x1691),f25(x1691,f25(x1692,x1692))),f6(a19,a19))
% 4.29/4.41 [151]~P5(x1512,x1514)+~P5(x1511,x1513)+P5(f25(f25(x1511,x1511),f25(x1511,f25(x1512,x1512))),f6(x1513,x1514))
% 4.29/4.41 [154]E(x1541,x1542)+~P5(x1541,a19)+~E(f25(f25(x1543,x1543),f25(x1543,f25(x1541,x1541))),f25(f25(x1544,x1544),f25(x1544,f25(x1542,x1542))))
% 4.29/4.41 [155]E(x1551,x1552)+~P5(x1551,a19)+~E(f25(f25(x1551,x1551),f25(x1551,f25(x1553,x1553))),f25(f25(x1552,x1552),f25(x1552,f25(x1554,x1554))))
% 4.29/4.41 [189]~P5(f25(f25(f25(f25(x1892,x1892),f25(x1892,f25(x1893,x1893))),f25(f25(x1892,x1892),f25(x1892,f25(x1893,x1893)))),f25(f25(f25(x1892,x1892),f25(x1892,f25(x1893,x1893))),f25(x1891,x1891))),x1894)+P5(f25(f25(f25(f25(x1891,x1891),f25(x1891,f25(x1892,x1892))),f25(f25(x1891,x1891),f25(x1891,f25(x1892,x1892)))),f25(f25(f25(x1891,x1891),f25(x1891,f25(x1892,x1892))),f25(x1893,x1893))),f21(x1894))+~P5(f25(f25(f25(f25(x1891,x1891),f25(x1891,f25(x1892,x1892))),f25(f25(x1891,x1891),f25(x1891,f25(x1892,x1892)))),f25(f25(f25(x1891,x1891),f25(x1891,f25(x1892,x1892))),f25(x1893,x1893))),f6(f6(a19,a19),a19))
% 4.29/4.41 [190]~P5(f25(f25(f25(f25(x1902,x1902),f25(x1902,f25(x1901,x1901))),f25(f25(x1902,x1902),f25(x1902,f25(x1901,x1901)))),f25(f25(f25(x1902,x1902),f25(x1902,f25(x1901,x1901))),f25(x1903,x1903))),x1904)+P5(f25(f25(f25(f25(x1901,x1901),f25(x1901,f25(x1902,x1902))),f25(f25(x1901,x1901),f25(x1901,f25(x1902,x1902)))),f25(f25(f25(x1901,x1901),f25(x1901,f25(x1902,x1902))),f25(x1903,x1903))),f11(x1904))+~P5(f25(f25(f25(f25(x1901,x1901),f25(x1901,f25(x1902,x1902))),f25(f25(x1901,x1901),f25(x1901,f25(x1902,x1902)))),f25(f25(f25(x1901,x1901),f25(x1901,f25(x1902,x1902))),f25(x1903,x1903))),f6(f6(a19,a19),a19))
% 4.29/4.41 [194]~P5(f25(f25(x1941,x1941),f25(x1941,f25(x1942,x1942))),f6(a19,a19))+P5(f25(f25(x1941,x1941),f25(x1941,f25(x1942,x1942))),f7(x1943,x1944))+~P5(x1942,f9(f9(f11(f6(f10(x1943,f6(f9(f9(f11(f6(f10(x1944,f6(f25(x1941,x1941),a19)),a19)))),a19)),a19)))))
% 4.29/4.41 [195]~P4(x1952,x1955,x1951)+~P5(f25(f25(x1953,x1953),f25(x1953,f25(x1954,x1954))),f9(x1955))+E(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1951,f6(f25(f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1953,x1953),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1953,x1953),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1953,x1953),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1954,x1954),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1954,x1954),a19)),a19)))))))))),f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1953,x1953),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1953,x1953),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1953,x1953),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1954,x1954),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(x1954,x1954),a19)),a19))))))))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1952,f6(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1955,f6(f25(f25(f25(x1953,x1953),f25(x1953,f25(x1954,x1954))),f25(f25(x1953,x1953),f25(x1953,f25(x1954,x1954)))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1955,f6(f25(f25(f25(x1953,x1953),f25(x1953,f25(x1954,x1954))),f25(f25(x1953,x1953),f25(x1953,f25(x1954,x1954)))),a19)),a19)))))))),a19)),a19))))))))
% 4.29/4.41 [173]~P2(x1731)+P8(x1731)+~E(f6(f9(f9(x1731)),f9(f9(x1731))),f9(x1731))+~P6(f9(f9(f11(f6(x1731,a19)))),f9(f9(x1731)))
% 4.29/4.41 [116]E(x1161,x1162)+E(x1163,x1162)+~E(f25(x1163,x1161),f25(x1162,x1162))+~P5(x1162,a19)
% 4.29/4.41 [172]~P2(x1721)+P3(x1721,x1722,x1723)+~E(f9(f9(x1722)),f9(x1721))+~P6(f9(f9(f11(f6(x1721,a19)))),f9(f9(x1723)))
% 4.29/4.41 [185]~P8(x1853)+~P8(x1852)+~P3(x1851,x1852,x1853)+P4(x1851,x1852,x1853)+P5(f25(f25(f17(x1851,x1852,x1853),f17(x1851,x1852,x1853)),f25(f17(x1851,x1852,x1853),f25(f18(x1851,x1852,x1853),f18(x1851,x1852,x1853)))),f9(x1852))
% 4.29/4.41 [196]~P8(x1963)+~P8(x1962)+~P3(x1961,x1962,x1963)+P4(x1961,x1962,x1963)+~E(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1963,f6(f25(f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f18(x1961,x1962,x1963),f18(x1961,x1962,x1963)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f18(x1961,x1962,x1963),f18(x1961,x1962,x1963)),a19)),a19)))))))))),f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f18(x1961,x1962,x1963),f18(x1961,x1962,x1963)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f18(x1961,x1962,x1963),f18(x1961,x1962,x1963)),a19)),a19))))))))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1961,f6(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1962,f6(f25(f25(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),f25(f17(x1961,x1962,x1963),f25(f18(x1961,x1962,x1963),f18(x1961,x1962,x1963)))),f25(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),f25(f17(x1961,x1962,x1963),f25(f18(x1961,x1962,x1963),f18(x1961,x1962,x1963))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1962,f6(f25(f25(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),f25(f17(x1961,x1962,x1963),f25(f18(x1961,x1962,x1963),f18(x1961,x1962,x1963)))),f25(f25(f17(x1961,x1962,x1963),f17(x1961,x1962,x1963)),f25(f17(x1961,x1962,x1963),f25(f18(x1961,x1962,x1963),f18(x1961,x1962,x1963))))),a19)),a19)))))))),a19)),a19))))))))
% 4.29/4.41 %EqnAxiom
% 4.29/4.41 [1]E(x11,x11)
% 4.29/4.41 [2]E(x22,x21)+~E(x21,x22)
% 4.29/4.41 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.29/4.41 [4]~E(x41,x42)+E(f25(x41,x43),f25(x42,x43))
% 4.29/4.41 [5]~E(x51,x52)+E(f25(x53,x51),f25(x53,x52))
% 4.29/4.41 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 4.29/4.41 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 4.29/4.41 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 4.29/4.41 [9]~E(x91,x92)+E(f16(x91,x93),f16(x92,x93))
% 4.29/4.41 [10]~E(x101,x102)+E(f16(x103,x101),f16(x103,x102))
% 4.29/4.41 [11]~E(x111,x112)+E(f10(x111,x113),f10(x112,x113))
% 4.29/4.41 [12]~E(x121,x122)+E(f10(x123,x121),f10(x123,x122))
% 4.29/4.41 [13]~E(x131,x132)+E(f24(x131),f24(x132))
% 4.29/4.41 [14]~E(x141,x142)+E(f11(x141),f11(x142))
% 4.29/4.41 [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153))
% 4.29/4.41 [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162))
% 4.29/4.41 [17]~E(x171,x172)+E(f12(x171),f12(x172))
% 4.29/4.41 [18]~E(x181,x182)+E(f17(x181,x183,x184),f17(x182,x183,x184))
% 4.29/4.41 [19]~E(x191,x192)+E(f17(x193,x191,x194),f17(x193,x192,x194))
% 4.29/4.41 [20]~E(x201,x202)+E(f17(x203,x204,x201),f17(x203,x204,x202))
% 4.29/4.41 [21]~E(x211,x212)+E(f14(x211),f14(x212))
% 4.29/4.41 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 4.29/4.41 [23]~E(x231,x232)+E(f18(x231,x233,x234),f18(x232,x233,x234))
% 4.29/4.41 [24]~E(x241,x242)+E(f18(x243,x241,x244),f18(x243,x242,x244))
% 4.29/4.41 [25]~E(x251,x252)+E(f18(x253,x254,x251),f18(x253,x254,x252))
% 4.29/4.41 [26]~E(x261,x262)+E(f21(x261),f21(x262))
% 4.29/4.41 [27]~E(x271,x272)+E(f15(x271),f15(x272))
% 4.29/4.41 [28]~E(x281,x282)+E(f22(x281),f22(x282))
% 4.29/4.41 [29]~E(x291,x292)+E(f3(x291),f3(x292))
% 4.29/4.41 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 4.29/4.41 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 4.29/4.41 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 4.29/4.41 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 4.29/4.41 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 4.29/4.41 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 4.29/4.41 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 4.29/4.42 [37]P6(x372,x373)+~E(x371,x372)+~P6(x371,x373)
% 4.29/4.42 [38]P6(x383,x382)+~E(x381,x382)+~P6(x383,x381)
% 4.29/4.42 [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 4.29/4.42 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 4.29/4.42 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 4.29/4.42 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 4.29/4.42 [43]~P7(x431)+P7(x432)+~E(x431,x432)
% 4.29/4.42 [44]~P9(x441)+P9(x442)+~E(x441,x442)
% 4.29/4.42
% 4.29/4.42 %-------------------------------------------
% 4.29/4.42 cnf(197,plain,
% 4.29/4.42 (E(a13,f10(f9(f11(f6(a23,a19))),a23))),
% 4.29/4.42 inference(scs_inference,[],[64,2])).
% 4.29/4.42 cnf(198,plain,
% 4.29/4.42 (~P1(a4)),
% 4.29/4.42 inference(scs_inference,[],[73,64,2,81])).
% 4.29/4.42 cnf(199,plain,
% 4.29/4.42 (~P5(x1991,a4)),
% 4.29/4.42 inference(rename_variables,[],[73])).
% 4.29/4.42 cnf(201,plain,
% 4.29/4.42 (E(f10(f8(x2011),x2011),a4)),
% 4.29/4.42 inference(scs_inference,[],[73,64,74,2,81,90])).
% 4.29/4.42 cnf(202,plain,
% 4.29/4.42 (~P5(x2021,f10(f8(x2022),x2022))),
% 4.29/4.42 inference(rename_variables,[],[74])).
% 4.29/4.42 cnf(204,plain,
% 4.29/4.42 (P6(f10(f8(x2041),x2041),x2042)),
% 4.29/4.42 inference(scs_inference,[],[73,64,74,202,2,81,90,100])).
% 4.29/4.42 cnf(205,plain,
% 4.29/4.42 (~P5(x2051,f10(f8(x2052),x2052))),
% 4.29/4.42 inference(rename_variables,[],[74])).
% 4.29/4.42 cnf(207,plain,
% 4.29/4.42 (~P5(x2071,f9(f8(f6(f25(x2071,x2071),a19))))),
% 4.29/4.42 inference(scs_inference,[],[73,64,74,202,2,81,90,100,137])).
% 4.29/4.42 cnf(209,plain,
% 4.29/4.42 (~P5(f25(f25(f25(f25(x2091,x2091),f25(x2091,f25(x2092,x2092))),f25(f25(x2091,x2091),f25(x2091,f25(x2092,x2092)))),f25(f25(f25(x2091,x2091),f25(x2091,f25(x2092,x2092))),f25(x2093,x2093))),f11(a4))),
% 4.29/4.42 inference(scs_inference,[],[73,199,64,74,202,2,81,90,100,137,188])).
% 4.29/4.42 cnf(210,plain,
% 4.29/4.42 (~P5(x2101,a4)),
% 4.29/4.42 inference(rename_variables,[],[73])).
% 4.29/4.42 cnf(212,plain,
% 4.29/4.42 (~P5(f25(f25(f25(f25(x2121,x2121),f25(x2121,f25(x2122,x2122))),f25(f25(x2121,x2121),f25(x2121,f25(x2122,x2122)))),f25(f25(f25(x2121,x2121),f25(x2121,f25(x2122,x2122))),f25(x2123,x2123))),f21(a4))),
% 4.29/4.42 inference(scs_inference,[],[73,199,210,64,74,202,2,81,90,100,137,188,187])).
% 4.29/4.42 cnf(213,plain,
% 4.29/4.42 (~P5(x2131,a4)),
% 4.29/4.42 inference(rename_variables,[],[73])).
% 4.29/4.42 cnf(216,plain,
% 4.29/4.42 (P6(x2161,x2161)),
% 4.29/4.42 inference(rename_variables,[],[51])).
% 4.29/4.42 cnf(219,plain,
% 4.29/4.42 (~E(a19,a4)),
% 4.29/4.42 inference(scs_inference,[],[51,216,73,199,210,213,47,64,74,202,2,81,90,100,137,188,187,38,37,33])).
% 4.29/4.42 cnf(220,plain,
% 4.29/4.42 (~P5(x2201,a4)),
% 4.29/4.42 inference(rename_variables,[],[73])).
% 4.29/4.42 cnf(221,plain,
% 4.29/4.42 (~E(a4,a26)),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,73,199,210,213,47,64,74,202,2,81,90,100,137,188,187,38,37,33,32])).
% 4.29/4.42 cnf(222,plain,
% 4.29/4.42 (~P1(f10(f8(f6(f25(x2221,x2221),a19)),f6(f25(x2221,x2221),a19)))),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,73,199,210,213,47,64,74,202,2,81,90,100,137,188,187,38,37,33,32,30])).
% 4.29/4.42 cnf(223,plain,
% 4.29/4.42 (~E(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f25(f25(a26,f25(a27,a27)),f25(a26,a26)))),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,73,199,210,213,47,64,75,52,74,202,2,81,90,100,137,188,187,38,37,33,32,30,3])).
% 4.29/4.42 cnf(225,plain,
% 4.29/4.42 (P5(a4,f25(x2251,a4))),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,73,199,210,213,47,55,64,75,52,59,74,202,2,81,90,100,137,188,187,38,37,33,32,30,3,105])).
% 4.29/4.42 cnf(227,plain,
% 4.29/4.42 (~P6(a26,a4)),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,50,73,199,210,213,47,55,64,75,52,59,74,202,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98])).
% 4.29/4.42 cnf(229,plain,
% 4.29/4.42 (P1(a19)),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,47,55,64,75,52,59,74,202,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184])).
% 4.29/4.42 cnf(232,plain,
% 4.29/4.42 (~P5(x2321,f10(f8(x2322),x2322))),
% 4.29/4.42 inference(rename_variables,[],[74])).
% 4.29/4.42 cnf(234,plain,
% 4.29/4.42 (E(a4,f10(f8(x2341),x2341))),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,47,55,64,75,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122])).
% 4.29/4.42 cnf(236,plain,
% 4.29/4.42 (~P5(x2361,a4)),
% 4.29/4.42 inference(rename_variables,[],[73])).
% 4.29/4.42 cnf(238,plain,
% 4.29/4.42 (P6(f10(f6(a19,a19),f10(f6(a19,a19),f8(f7(f8(a5),f9(f11(f6(a5,a19))))))),a23)),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,47,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79])).
% 4.29/4.42 cnf(240,plain,
% 4.29/4.42 (P6(a23,f10(f6(a19,a19),f10(f6(a19,a19),f8(f7(f8(a5),f9(f11(f6(a5,a19))))))))),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,47,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78])).
% 4.29/4.42 cnf(256,plain,
% 4.29/4.42 (P5(a4,f25(a4,x2561))),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,45,46,47,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107])).
% 4.29/4.42 cnf(262,plain,
% 4.29/4.42 (~E(f25(a4,x2621),a4)),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96])).
% 4.29/4.42 cnf(264,plain,
% 4.29/4.42 (~E(f25(x2641,a4),a4)),
% 4.29/4.42 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95])).
% 4.29/4.43 cnf(296,plain,
% 4.29/4.43 (~P5(f25(f25(x2961,x2961),f25(x2961,f25(a26,a26))),f6(x2962,x2963))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158])).
% 4.29/4.43 cnf(300,plain,
% 4.29/4.43 (E(f25(f25(x3001,x3001),f25(x3001,f25(a26,a26))),f25(f25(x3001,x3001),f25(x3001,a4)))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141])).
% 4.29/4.43 cnf(302,plain,
% 4.29/4.43 (P5(f14(f25(a4,a4)),a19)),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128])).
% 4.29/4.43 cnf(306,plain,
% 4.29/4.43 (~E(f25(f14(a26),f14(a26)),a26)),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103])).
% 4.29/4.43 cnf(308,plain,
% 4.29/4.43 (E(f14(f25(a4,a4)),a4)),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99])).
% 4.29/4.43 cnf(310,plain,
% 4.29/4.43 (E(f25(a26,a26),a4)),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87])).
% 4.29/4.43 cnf(316,plain,
% 4.29/4.43 (~P5(f25(f25(a26,a26),f25(a26,f25(x3161,x3161))),f6(x3162,x3163))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159])).
% 4.29/4.43 cnf(322,plain,
% 4.29/4.43 (~E(f25(f25(f12(a26),f12(a26)),f25(f12(a26),f25(f24(a26),f24(a26)))),a26)),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152])).
% 4.29/4.43 cnf(324,plain,
% 4.29/4.43 (P5(f25(f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))),f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f25(f24(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f24(f25(f25(a26,a26),f25(a26,f25(a27,a27))))))),f6(a19,a19))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161])).
% 4.29/4.43 cnf(326,plain,
% 4.29/4.43 (E(f25(f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))),f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f25(f24(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f24(f25(f25(a26,a26),f25(a26,f25(a27,a27))))))),f25(f25(a26,a26),f25(a26,f25(a27,a27))))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143])).
% 4.29/4.43 cnf(328,plain,
% 4.29/4.43 (E(f25(f14(f25(a4,a4)),f14(f25(a4,a4))),f25(a4,a4))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136])).
% 4.29/4.43 cnf(344,plain,
% 4.29/4.43 (P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(a4,x3441),f25(a4,x3441)),a19)),a19))))))),f25(a4,x3441))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192])).
% 4.29/4.43 cnf(345,plain,
% 4.29/4.43 (P5(f25(x3451,x3452),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(347,plain,
% 4.29/4.43 (E(f25(f25(a26,a26),f25(a26,f25(a26,a26))),f25(a4,f25(a4,a4)))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138])).
% 4.29/4.43 cnf(349,plain,
% 4.29/4.43 (~E(f25(f25(x3491,x3491),f25(x3491,f25(a4,a4))),f25(f25(x3492,x3492),f25(x3492,f25(a26,a26))))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154])).
% 4.29/4.43 cnf(351,plain,
% 4.29/4.43 (~E(f25(a4,a4),f25(a26,a26))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114])).
% 4.29/4.43 cnf(353,plain,
% 4.29/4.43 (~E(f25(a19,a19),f25(a4,a4))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113])).
% 4.29/4.43 cnf(355,plain,
% 4.29/4.43 (P5(f25(f25(a4,a4),f25(a4,f25(a4,a4))),f6(a19,a19))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113,151])).
% 4.29/4.43 cnf(357,plain,
% 4.29/4.43 (~E(f25(f25(a4,a4),f25(a4,f25(x3571,x3571))),f25(f25(a26,a26),f25(a26,f25(x3572,x3572))))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113,151,155])).
% 4.29/4.43 cnf(361,plain,
% 4.29/4.43 (~E(f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))),f25(f25(f25(a26,a26),f25(a26,f25(a27,a27))),f25(f25(a26,a26),f25(a26,f25(a27,a27)))))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,345,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113,151,155,150,116])).
% 4.29/4.43 cnf(364,plain,
% 4.29/4.43 (~P6(a19,a4)),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,345,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113,151,155,150,116,82])).
% 4.29/4.43 cnf(368,plain,
% 4.29/4.43 (P9(a2)),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,345,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113,151,155,150,116,82,84,157])).
% 4.29/4.43 cnf(370,plain,
% 4.29/4.43 (E(f14(a26),a26)),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,345,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113,151,155,150,116,82,84,157,88])).
% 4.29/4.43 cnf(376,plain,
% 4.29/4.43 (P5(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f24(f25(f25(a26,a26),f25(a26,f25(a27,a27))))))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,345,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113,151,155,150,116,82,84,157,88,149,145,171])).
% 4.29/4.43 cnf(378,plain,
% 4.29/4.43 (P5(f24(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f24(f25(f25(a26,a26),f25(a26,f25(a27,a27))))))),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,345,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113,151,155,150,116,82,84,157,88,149,145,171,170])).
% 4.29/4.43 cnf(380,plain,
% 4.29/4.43 (~E(f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f24(f25(f25(a26,a26),f25(a26,f25(a27,a27))))),a4)),
% 4.29/4.43 inference(scs_inference,[],[72,51,216,49,50,73,199,210,213,220,236,45,46,47,48,55,64,75,70,56,345,52,59,74,202,205,232,2,81,90,100,137,188,187,38,37,33,32,30,3,105,98,184,123,122,79,78,112,94,186,181,139,119,118,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,147,141,128,111,103,99,87,83,164,159,165,156,152,161,143,136,176,175,31,102,182,124,115,192,138,154,114,113,151,155,150,116,82,84,157,88,149,145,171,170,166])).
% 4.29/4.43 cnf(405,plain,
% 4.29/4.43 (P5(f25(f25(f12(f25(f25(a4,a4),f25(a4,f25(a4,a4)))),f12(f25(f25(a4,a4),f25(a4,f25(a4,a4))))),f25(f12(f25(f25(a4,a4),f25(a4,f25(a4,a4)))),f25(f24(f25(f25(a4,a4),f25(a4,f25(a4,a4)))),f24(f25(f25(a4,a4),f25(a4,f25(a4,a4))))))),f6(a19,a19))),
% 4.29/4.43 inference(scs_inference,[],[355,191])).
% 4.29/4.43 cnf(413,plain,
% 4.29/4.43 (P5(f24(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),a19)),
% 4.29/4.43 inference(scs_inference,[],[45,324,355,380,191,110,81,90,158])).
% 4.29/4.43 cnf(416,plain,
% 4.29/4.43 (P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(a4,x4161),f25(a4,x4161)),a19)),a19))))))),f25(a4,x4161))),
% 4.29/4.43 inference(rename_variables,[],[344])).
% 4.29/4.43 cnf(419,plain,
% 4.29/4.43 (~P5(x4191,a4)),
% 4.29/4.43 inference(rename_variables,[],[73])).
% 4.29/4.43 cnf(421,plain,
% 4.29/4.43 (P6(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(a4,x4211),f25(a4,x4211)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(a4,x4211),f25(a4,x4211)),a19)),a19)))))))),f25(a4,x4211))),
% 4.29/4.43 inference(scs_inference,[],[73,45,56,324,355,344,416,380,191,110,81,90,158,111,102,124])).
% 4.29/4.43 cnf(424,plain,
% 4.29/4.43 (P5(f25(x4241,x4242),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(426,plain,
% 4.29/4.43 (E(f14(f25(a4,a4)),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(a4,a4),f25(a4,a4)),a19)),a19))))))))),
% 4.29/4.43 inference(scs_inference,[],[73,45,56,328,324,355,344,416,380,191,110,81,90,158,111,102,124,192,117])).
% 4.29/4.43 cnf(430,plain,
% 4.29/4.43 (P5(f25(x4301,x4302),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(433,plain,
% 4.29/4.43 (P5(f25(x4331,x4332),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(435,plain,
% 4.29/4.43 (~P5(a26,x4351)),
% 4.29/4.43 inference(scs_inference,[],[65,73,45,56,424,430,349,351,296,328,324,355,344,416,380,191,110,81,90,158,111,102,124,192,117,114,113,151])).
% 4.29/4.43 cnf(439,plain,
% 4.29/4.43 (~P5(x4391,a4)),
% 4.29/4.43 inference(rename_variables,[],[73])).
% 4.29/4.43 cnf(441,plain,
% 4.29/4.43 (~E(f25(f25(f25(f25(x4411,x4411),f25(x4411,f25(a4,a4))),f25(f25(x4411,x4411),f25(x4411,f25(a4,a4)))),f25(f25(f25(x4411,x4411),f25(x4411,f25(a4,a4))),f25(x4412,x4412))),f25(f25(f25(f25(x4413,x4413),f25(x4413,f25(a26,a26))),f25(f25(x4413,x4413),f25(x4413,f25(a26,a26)))),f25(f25(f25(x4413,x4413),f25(x4413,f25(a26,a26))),f25(x4414,x4414))))),
% 4.29/4.43 inference(scs_inference,[],[65,73,419,45,56,424,430,433,349,351,296,328,324,355,344,416,380,221,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155])).
% 4.29/4.43 cnf(442,plain,
% 4.29/4.43 (P5(f25(x4421,x4422),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(451,plain,
% 4.29/4.43 (~P5(x4511,a4)),
% 4.29/4.43 inference(rename_variables,[],[73])).
% 4.29/4.43 cnf(453,plain,
% 4.29/4.43 (P5(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),a19)),
% 4.29/4.43 inference(scs_inference,[],[72,65,73,419,439,45,56,424,430,433,442,46,349,351,296,328,324,355,344,416,380,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159])).
% 4.29/4.43 cnf(459,plain,
% 4.29/4.43 (~E(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f8(f10(f8(f25(f25(a26,a26),f25(a26,a26))),f8(f25(f25(a26,f25(a27,a27)),f25(a26,f25(a27,a27)))))))),
% 4.29/4.43 inference(scs_inference,[],[72,68,65,73,419,439,45,56,424,430,433,442,46,75,349,351,296,328,324,355,344,416,380,322,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3])).
% 4.29/4.43 cnf(461,plain,
% 4.29/4.43 (~P6(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a4,a4))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,65,73,419,439,45,56,424,430,433,442,46,75,349,351,296,328,324,355,344,416,380,322,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98])).
% 4.29/4.43 cnf(462,plain,
% 4.29/4.43 (~E(f25(f25(x4621,x4621),f25(x4621,f25(a4,a4))),f25(f25(x4622,x4622),f25(x4622,f25(a26,a26))))),
% 4.29/4.43 inference(rename_variables,[],[349])).
% 4.29/4.43 cnf(463,plain,
% 4.29/4.43 (P6(f25(x4631,x4631),f25(x4631,x4632))),
% 4.29/4.43 inference(rename_variables,[],[60])).
% 4.29/4.43 cnf(469,plain,
% 4.29/4.43 (~E(f25(f25(x4691,x4691),f25(x4691,f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))))),f25(f25(x4692,x4692),f25(x4692,f25(f25(f25(a26,a26),f25(a26,f25(a27,a27))),f25(f25(a26,a26),f25(a26,f25(a27,a27)))))))),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,65,73,419,439,45,56,424,430,433,442,46,75,349,351,296,328,324,355,357,344,416,380,322,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154])).
% 4.29/4.43 cnf(478,plain,
% 4.29/4.43 (~P6(a26,f25(a26,a26))),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,65,73,419,439,45,56,424,430,433,442,46,75,349,351,296,361,328,324,355,357,344,416,310,227,380,322,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154,116,164,165,38])).
% 4.29/4.43 cnf(479,plain,
% 4.29/4.43 (~E(a26,a4)),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,65,73,419,439,45,56,424,430,433,442,46,75,349,351,296,361,328,324,355,357,344,416,310,227,380,322,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154,116,164,165,38,79])).
% 4.29/4.43 cnf(483,plain,
% 4.29/4.43 (~E(f25(f25(a26,a26),f25(a26,f25(a27,a27))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))))),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,65,73,419,439,45,56,424,430,433,442,46,75,349,351,296,361,328,324,355,357,344,416,310,227,380,322,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154,116,164,165,38,79,78,2])).
% 4.29/4.43 cnf(484,plain,
% 4.29/4.43 (~E(f25(x4841,f25(a4,a4)),f25(x4841,f25(a26,a26)))),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,65,73,419,439,45,56,424,430,433,442,46,75,349,462,351,296,361,328,324,355,357,344,416,310,227,380,322,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154,116,164,165,38,79,78,2,5])).
% 4.29/4.43 cnf(486,plain,
% 4.29/4.43 (~P5(x4861,f25(a26,a26))),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,65,73,419,439,451,45,56,424,430,433,442,46,75,349,462,351,296,361,328,324,355,357,344,416,310,227,380,322,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154,116,164,165,38,79,78,2,5,33])).
% 4.29/4.43 cnf(487,plain,
% 4.29/4.43 (~P5(f14(a26),a19)),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,65,73,419,439,451,45,56,424,430,433,442,46,75,349,462,351,296,361,328,324,355,357,344,416,310,227,380,322,370,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154,116,164,165,38,79,78,2,5,33,32])).
% 4.29/4.43 cnf(488,plain,
% 4.29/4.43 (~E(a1,f10(f8(f6(f25(x4881,x4881),a19)),f6(f25(x4881,x4881),a19)))),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,65,73,419,439,451,45,56,424,430,433,442,46,75,349,462,351,296,361,328,324,355,222,357,344,416,310,227,380,322,370,221,364,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154,116,164,165,38,79,78,2,5,33,32,30])).
% 4.29/4.43 cnf(497,plain,
% 4.29/4.43 (~P5(f25(f25(f14(a26),f14(a26)),f25(f14(a26),f25(f14(a26),f14(a26)))),f6(x4971,x4972))),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,463,65,73,419,439,451,45,56,424,430,433,442,46,75,349,462,351,296,361,328,324,355,222,357,344,416,310,227,380,322,370,221,364,368,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154,116,164,165,38,79,78,2,5,33,32,30,37,193,44,104,91,166])).
% 4.29/4.43 cnf(513,plain,
% 4.29/4.43 (~E(a2,x5131)+E(f25(f25(f14(a26),f14(a26)),f25(f14(a26),f25(f14(a26),f14(a26)))),f25(a4,f25(a4,a4)))),
% 4.29/4.43 inference(scs_inference,[],[72,68,60,463,65,51,73,419,439,451,45,56,424,430,433,442,46,75,349,462,351,296,361,328,324,355,300,222,357,344,416,310,227,380,322,225,370,221,364,368,191,110,81,90,158,111,102,124,192,117,114,113,151,122,155,150,182,100,105,159,149,143,3,98,123,115,154,116,164,165,38,79,78,2,5,33,32,30,37,193,44,104,91,166,146,168,177,194,172,120,184,138])).
% 4.29/4.43 cnf(527,plain,
% 4.29/4.43 (E(f25(f25(f14(a26),f14(a26)),f25(f14(a26),f25(f14(a26),f14(a26)))),f25(a4,f25(a4,a4)))),
% 4.29/4.43 inference(equality_inference,[],[513])).
% 4.29/4.43 cnf(530,plain,
% 4.29/4.43 (~P1(f10(f8(x5301),x5301))),
% 4.29/4.43 inference(scs_inference,[],[74,81])).
% 4.29/4.43 cnf(531,plain,
% 4.29/4.43 (~P5(x5311,f10(f8(x5312),x5312))),
% 4.29/4.43 inference(rename_variables,[],[74])).
% 4.29/4.43 cnf(534,plain,
% 4.29/4.43 (~P5(x5341,f10(f8(x5342),x5342))),
% 4.29/4.43 inference(rename_variables,[],[74])).
% 4.29/4.43 cnf(536,plain,
% 4.29/4.43 (~P5(f25(f25(x5361,x5361),f25(x5361,f25(f14(a26),f14(a26)))),f6(x5362,x5363))),
% 4.29/4.43 inference(scs_inference,[],[74,531,487,488,81,122,158])).
% 4.29/4.43 cnf(538,plain,
% 4.29/4.43 (~P5(f14(a26),x5381)),
% 4.29/4.43 inference(scs_inference,[],[67,74,531,487,488,81,122,158,151])).
% 4.29/4.43 cnf(544,plain,
% 4.29/4.43 (P5(f25(x5441,x5441),f25(f25(x5441,x5441),f25(x5441,f25(x5442,x5442))))),
% 4.29/4.43 inference(rename_variables,[],[67])).
% 4.29/4.43 cnf(546,plain,
% 4.29/4.43 (~P5(f25(f25(f25(f25(x5461,x5461),f25(x5461,f25(a4,a4))),f25(f25(x5461,x5461),f25(x5461,f25(a4,a4)))),f25(f25(f25(x5461,x5461),f25(x5461,f25(a4,a4))),f25(x5462,x5462))),f25(f25(f25(f25(f25(x5463,x5463),f25(x5463,f25(a26,a26))),f25(f25(x5463,x5463),f25(x5463,f25(a26,a26)))),f25(f25(f25(x5463,x5463),f25(x5463,f25(a26,a26))),f25(x5464,x5464))),f25(f25(f25(f25(x5463,x5463),f25(x5463,f25(a26,a26))),f25(f25(x5463,x5463),f25(x5463,f25(a26,a26)))),f25(f25(f25(x5463,x5463),f25(x5463,f25(a26,a26))),f25(x5464,x5464)))))),
% 4.29/4.43 inference(scs_inference,[],[67,74,531,441,461,486,487,488,81,122,158,151,100,124,111])).
% 4.29/4.43 cnf(548,plain,
% 4.29/4.43 (E(f24(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),a27)),
% 4.29/4.43 inference(scs_inference,[],[67,74,531,441,461,486,487,326,413,488,81,122,158,151,100,124,111,154])).
% 4.29/4.43 cnf(550,plain,
% 4.29/4.43 (E(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),a26)),
% 4.29/4.43 inference(scs_inference,[],[67,74,531,441,461,486,487,326,413,453,488,81,122,158,151,100,124,111,154,155])).
% 4.29/4.43 cnf(552,plain,
% 4.29/4.43 (~E(f25(f12(f25(f25(a4,a4),f25(a4,f25(a4,a4)))),f24(f25(f25(a4,a4),f25(a4,f25(a4,a4))))),a4)),
% 4.29/4.43 inference(scs_inference,[],[67,74,531,441,461,486,405,487,326,413,453,488,81,122,158,151,100,124,111,154,155,166])).
% 4.29/4.43 cnf(562,plain,
% 4.29/4.43 (~P6(f25(f25(a26,a26),f25(a4,a4)),f25(f25(a26,a26),f25(a26,a26)))),
% 4.29/4.43 inference(scs_inference,[],[201,58,67,60,74,531,534,441,484,461,486,405,497,487,326,413,453,234,488,81,122,158,151,100,124,111,154,155,166,164,165,105,3,98])).
% 4.29/4.43 cnf(566,plain,
% 4.29/4.43 (~P5(f25(f25(f14(a26),f14(a26)),f25(f14(a26),f25(x5661,x5661))),f6(x5662,x5663))),
% 4.29/4.43 inference(scs_inference,[],[201,58,67,60,74,531,534,441,484,461,486,405,497,487,326,413,453,234,488,81,122,158,151,100,124,111,154,155,166,164,165,105,3,98,159])).
% 4.29/4.43 cnf(572,plain,
% 4.29/4.43 (~E(f25(f25(f25(f25(f25(x5721,x5721),f25(x5721,f25(a4,a4))),f25(f25(x5721,x5721),f25(x5721,f25(a4,a4)))),f25(f25(f25(x5721,x5721),f25(x5721,f25(a4,a4))),f25(x5722,x5722))),f25(f25(f25(f25(x5721,x5721),f25(x5721,f25(a4,a4))),f25(f25(x5721,x5721),f25(x5721,f25(a4,a4)))),f25(f25(f25(x5721,x5721),f25(x5721,f25(a4,a4))),f25(x5722,x5722)))),f25(f25(f25(f25(f25(x5723,x5723),f25(x5723,f25(a26,a26))),f25(f25(x5723,x5723),f25(x5723,f25(a26,a26)))),f25(f25(f25(x5723,x5723),f25(x5723,f25(a26,a26))),f25(x5724,x5724))),f25(f25(f25(f25(x5723,x5723),f25(x5723,f25(a26,a26))),f25(f25(x5723,x5723),f25(x5723,f25(a26,a26)))),f25(f25(f25(x5723,x5723),f25(x5723,f25(a26,a26))),f25(x5724,x5724)))))),
% 4.29/4.43 inference(scs_inference,[],[201,61,58,67,60,74,531,534,56,441,484,461,486,405,497,487,326,413,453,234,488,81,122,158,151,100,124,111,154,155,166,164,165,105,3,98,159,79,78,116])).
% 4.29/4.43 cnf(575,plain,
% 4.29/4.43 (P5(f25(x5751,x5751),f10(f25(f25(x5751,x5751),f25(x5751,f25(x5752,x5752))),f25(f25(x5751,x5751),f25(x5751,f25(x5752,x5752)))))),
% 4.29/4.43 inference(scs_inference,[],[201,61,58,67,544,60,74,531,534,56,441,484,461,486,405,497,487,326,413,453,234,488,81,122,158,151,100,124,111,154,155,166,164,165,105,3,98,159,79,78,116,123])).
% 4.29/4.43 cnf(581,plain,
% 4.29/4.43 (E(f10(f6(x5811,x5812),x5813),f10(x5813,f6(x5811,x5812)))),
% 4.29/4.43 inference(rename_variables,[],[61])).
% 4.29/4.43 cnf(582,plain,
% 4.29/4.43 (E(f25(x5821,f10(f8(x5822),x5822)),f25(x5821,a4))),
% 4.29/4.43 inference(scs_inference,[],[201,61,58,67,544,60,74,531,534,56,441,484,461,486,405,497,487,326,426,413,453,234,488,302,222,81,122,158,151,100,124,111,154,155,166,164,165,105,3,98,159,79,78,116,123,6,32,30,2,5])).
% 4.29/4.43 cnf(583,plain,
% 4.29/4.43 (~P5(x5831,f10(f6(x5832,x5833),f8(f6(x5832,x5833))))),
% 4.29/4.43 inference(scs_inference,[],[201,61,581,58,67,544,60,74,531,534,56,441,484,461,486,405,497,487,326,426,413,453,234,488,302,222,81,122,158,151,100,124,111,154,155,166,164,165,105,3,98,159,79,78,116,123,6,32,30,2,5,33])).
% 4.29/4.43 cnf(591,plain,
% 4.29/4.43 (P5(f16(f25(a4,x5911),a4),f25(a4,x5911))),
% 4.29/4.43 inference(scs_inference,[],[201,61,581,58,67,544,68,60,74,531,534,56,441,484,461,486,405,497,487,326,426,413,453,234,488,302,262,222,81,122,158,151,100,124,111,154,155,166,164,165,105,3,98,159,79,78,116,123,6,32,30,2,5,33,179,84,90])).
% 4.29/4.43 cnf(593,plain,
% 4.29/4.43 (~P6(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a4,a4))),f10(f8(x5931),x5931))),
% 4.29/4.43 inference(scs_inference,[],[201,61,581,58,67,544,68,60,74,531,534,56,441,484,461,486,405,497,487,326,426,413,453,234,488,302,204,262,222,81,122,158,151,100,124,111,154,155,166,164,165,105,3,98,159,79,78,116,123,6,32,30,2,5,33,179,84,90,104])).
% 4.29/4.43 cnf(616,plain,
% 4.29/4.43 (P5(f25(f25(f25(x6161,f25(x6162,x6162)),f25(x6161,f25(x6162,x6162))),f25(f25(x6161,f25(x6162,x6162)),f25(f25(x6161,f25(x6162,x6162)),f25(x6161,f25(x6162,x6162))))),f6(f25(f25(x6161,x6161),f25(x6161,f25(x6162,x6162))),f25(f25(x6161,x6161),f25(x6161,f25(x6162,x6162)))))),
% 4.29/4.43 inference(scs_inference,[],[69,562,552,84,100,151])).
% 4.29/4.43 cnf(628,plain,
% 4.29/4.43 (~P6(f25(a4,a4),f25(a19,a19))),
% 4.29/4.43 inference(scs_inference,[],[69,49,48,572,562,353,591,552,264,488,84,100,151,111,154,115,104,121])).
% 4.29/4.43 cnf(640,plain,
% 4.29/4.43 (~E(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a4,a4)))),
% 4.29/4.43 inference(scs_inference,[],[69,63,49,48,575,572,562,536,353,591,552,264,488,84,100,151,111,154,115,104,121,105,124,155,114,78])).
% 4.29/4.43 cnf(642,plain,
% 4.29/4.43 (~P6(f25(f25(f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))),f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))))),f25(f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))),f25(f25(f25(a26,a26),f25(a26,f25(a27,a27))),f25(f25(a26,a26),f25(a26,f25(a27,a27)))))),f25(f25(f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))),f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))))),f25(f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))),f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))))))),
% 4.29/4.43 inference(scs_inference,[],[69,63,49,60,48,575,572,562,469,536,353,591,552,264,488,84,100,151,111,154,115,104,121,105,124,155,114,78,98])).
% 4.29/4.43 cnf(643,plain,
% 4.29/4.43 (~E(f25(f25(x6431,x6431),f25(x6431,f25(f12(f25(f25(a26,a26),f25(a26,f25(a27,a27)))),f12(f25(f25(a26,a26),f25(a26,f25(a27,a27))))))),f25(f25(x6432,x6432),f25(x6432,f25(f25(f25(a26,a26),f25(a26,f25(a27,a27))),f25(f25(a26,a26),f25(a26,f25(a27,a27)))))))),
% 4.29/4.43 inference(rename_variables,[],[469])).
% 4.29/4.43 cnf(646,plain,
% 4.29/4.43 (~E(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a4,a4))),f10(f8(x6461),x6461))),
% 4.29/4.43 inference(scs_inference,[],[69,63,49,60,48,575,572,562,593,469,536,353,591,552,264,488,84,100,151,111,154,115,104,121,105,124,155,114,78,98,79])).
% 4.29/4.43 cnf(650,plain,
% 4.29/4.43 (~P5(f25(x6501,f25(x6502,x6502)),f8(f25(f25(x6501,x6501),f25(x6501,f25(x6502,x6502)))))),
% 4.29/4.43 inference(scs_inference,[],[69,63,49,68,60,48,74,575,572,562,593,469,536,353,591,552,264,488,84,100,151,111,154,115,104,121,105,124,155,114,78,98,79,3,123])).
% 4.29/4.43 cnf(658,plain,
% 4.29/4.43 (~E(f25(f25(f25(f25(f25(x6581,x6581),f25(x6581,f25(a26,a26))),f25(f25(x6581,x6581),f25(x6581,f25(a26,a26)))),f25(f25(f25(x6581,x6581),f25(x6581,f25(a26,a26))),f25(x6582,x6582))),f25(f25(f25(f25(x6581,x6581),f25(x6581,f25(a26,a26))),f25(f25(x6581,x6581),f25(x6581,f25(a26,a26)))),f25(f25(f25(x6581,x6581),f25(x6581,f25(a26,a26))),f25(x6582,x6582)))),f25(f25(f25(f25(f25(x6583,x6583),f25(x6583,f25(a4,a4))),f25(f25(x6583,x6583),f25(x6583,f25(a4,a4)))),f25(f25(f25(x6583,x6583),f25(x6583,f25(a4,a4))),f25(x6584,x6584))),f25(f25(f25(f25(x6583,x6583),f25(x6583,f25(a4,a4))),f25(f25(x6583,x6583),f25(x6583,f25(a4,a4)))),f25(f25(f25(x6583,x6583),f25(x6583,f25(a4,a4))),f25(x6584,x6584)))))),
% 4.29/4.43 inference(scs_inference,[],[69,63,49,68,60,48,74,61,575,530,572,562,593,469,643,536,353,591,552,264,488,84,100,151,111,154,115,104,121,105,124,155,114,78,98,79,3,123,30,5,2])).
% 4.29/4.43 cnf(659,plain,
% 4.29/4.43 (~E(f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),f25(f25(f25(f25(x6591,x6591),f25(x6591,f25(a4,a4))),f25(f25(x6591,x6591),f25(x6591,f25(a4,a4)))),f25(f25(f25(x6591,x6591),f25(x6591,f25(a4,a4))),f25(x6592,x6592))))),
% 4.29/4.43 inference(scs_inference,[],[69,63,49,68,60,48,74,61,575,530,572,546,562,593,469,643,536,353,591,552,264,488,84,100,151,111,154,115,104,121,105,124,155,114,78,98,79,3,123,30,5,2,32])).
% 4.29/4.43 cnf(660,plain,
% 4.29/4.43 (P5(f25(x6601,f25(x6602,x6602)),f25(f25(x6601,x6601),f25(x6601,f25(x6602,x6602))))),
% 4.29/4.43 inference(rename_variables,[],[69])).
% 4.29/4.43 cnf(662,plain,
% 4.29/4.43 (~E(f25(f25(x6621,x6621),f25(x6621,f25(x6622,x6622))),a4)),
% 4.29/4.43 inference(scs_inference,[],[69,660,63,49,68,73,60,48,74,61,575,530,572,546,562,593,469,643,536,353,591,552,264,488,84,100,151,111,154,115,104,121,105,124,155,114,78,98,79,3,123,30,5,2,32,33])).
% 4.29/4.43 cnf(663,plain,
% 4.29/4.43 (~P5(x6631,a4)),
% 4.29/4.43 inference(rename_variables,[],[73])).
% 4.29/4.43 cnf(666,plain,
% 4.29/4.43 (~P5(a4,f25(a19,a19))),
% 4.29/4.43 inference(scs_inference,[],[69,660,63,54,49,68,73,60,48,74,61,575,530,572,546,562,593,469,643,536,353,591,552,264,488,84,100,151,111,154,115,104,121,105,124,155,114,78,98,79,3,123,30,5,2,32,33,167,110])).
% 4.29/4.43 cnf(671,plain,
% 4.29/4.43 (~P5(a4,f6(x6711,x6712))),
% 4.29/4.43 inference(scs_inference,[],[69,660,63,54,49,68,73,663,60,48,74,61,575,530,572,546,562,593,469,643,536,353,591,552,264,488,84,100,151,111,154,115,104,121,105,124,155,114,78,98,79,3,123,30,5,2,32,33,167,110,122,149])).
% 4.29/4.43 cnf(684,plain,
% 4.29/4.43 (P6(f25(x6841,x6841),f25(x6842,x6841))),
% 4.29/4.43 inference(rename_variables,[],[59])).
% 4.29/4.43 cnf(686,plain,
% 4.29/4.43 (~P6(a26,f25(f14(a26),f14(a26)))),
% 4.29/4.43 inference(scs_inference,[],[59,616,658,306,479,421,110,111,104,121])).
% 4.29/4.43 cnf(688,plain,
% 4.29/4.43 (~E(f25(f25(x6881,x6881),f25(x6881,f25(f25(f25(f25(f25(f25(x6882,x6882),f25(x6882,f25(a26,a26))),f25(f25(x6882,x6882),f25(x6882,f25(a26,a26)))),f25(f25(f25(x6882,x6882),f25(x6882,f25(a26,a26))),f25(x6883,x6883))),f25(f25(f25(f25(x6882,x6882),f25(x6882,f25(a26,a26))),f25(f25(x6882,x6882),f25(x6882,f25(a26,a26)))),f25(f25(f25(x6882,x6882),f25(x6882,f25(a26,a26))),f25(x6883,x6883)))),f25(f25(f25(f25(f25(x6882,x6882),f25(x6882,f25(a26,a26))),f25(f25(x6882,x6882),f25(x6882,f25(a26,a26)))),f25(f25(f25(x6882,x6882),f25(x6882,f25(a26,a26))),f25(x6883,x6883))),f25(f25(f25(f25(x6882,x6882),f25(x6882,f25(a26,a26))),f25(f25(x6882,x6882),f25(x6882,f25(a26,a26)))),f25(f25(f25(x6882,x6882),f25(x6882,f25(a26,a26))),f25(x6883,x6883))))))),f25(f25(x6884,x6884),f25(x6884,f25(f25(f25(f25(f25(f25(x6885,x6885),f25(x6885,f25(a4,a4))),f25(f25(x6885,x6885),f25(x6885,f25(a4,a4)))),f25(f25(f25(x6885,x6885),f25(x6885,f25(a4,a4))),f25(x6886,x6886))),f25(f25(f25(f25(x6885,x6885),f25(x6885,f25(a4,a4))),f25(f25(x6885,x6885),f25(x6885,f25(a4,a4)))),f25(f25(f25(x6885,x6885),f25(x6885,f25(a4,a4))),f25(x6886,x6886)))),f25(f25(f25(f25(f25(x6885,x6885),f25(x6885,f25(a4,a4))),f25(f25(x6885,x6885),f25(x6885,f25(a4,a4)))),f25(f25(f25(x6885,x6885),f25(x6885,f25(a4,a4))),f25(x6886,x6886))),f25(f25(f25(f25(x6885,x6885),f25(x6885,f25(a4,a4))),f25(f25(x6885,x6885),f25(x6885,f25(a4,a4)))),f25(f25(f25(x6885,x6885),f25(x6885,f25(a4,a4))),f25(x6886,x6886))))))))),
% 4.29/4.43 inference(scs_inference,[],[59,56,616,658,306,479,421,110,111,104,121,154])).
% 4.29/4.43 cnf(689,plain,
% 4.29/4.43 (P5(f25(x6891,x6892),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(692,plain,
% 4.29/4.43 (~E(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a4,a4))),f10(f8(x6921),x6921))),
% 4.29/4.43 inference(rename_variables,[],[646])).
% 4.29/4.43 cnf(693,plain,
% 4.29/4.43 (~P5(x6931,f10(f8(x6932),x6932))),
% 4.29/4.43 inference(rename_variables,[],[74])).
% 4.29/4.43 cnf(695,plain,
% 4.29/4.43 (P6(f10(f6(x6951,x6952),f8(f6(x6951,x6952))),x6953)),
% 4.29/4.43 inference(scs_inference,[],[59,74,56,616,658,646,306,479,583,421,110,111,104,121,154,122,100])).
% 4.29/4.43 cnf(698,plain,
% 4.29/4.43 (P6(f25(f10(f8(x6981),x6981),a4),f25(x6982,f10(f8(x6981),x6981)))),
% 4.29/4.43 inference(scs_inference,[],[59,684,74,56,616,658,646,306,479,583,582,421,110,111,104,121,154,122,100,37])).
% 4.29/4.43 cnf(703,plain,
% 4.29/4.43 (~E(f25(f25(f25(f25(f25(f25(x7031,x7031),f25(x7031,f25(a26,a26))),f25(f25(x7031,x7031),f25(x7031,f25(a26,a26)))),f25(f25(f25(x7031,x7031),f25(x7031,f25(a26,a26))),f25(x7032,x7032))),f25(f25(f25(f25(x7031,x7031),f25(x7031,f25(a26,a26))),f25(f25(x7031,x7031),f25(x7031,f25(a26,a26)))),f25(f25(f25(x7031,x7031),f25(x7031,f25(a26,a26))),f25(x7032,x7032)))),f25(f25(f25(f25(f25(x7031,x7031),f25(x7031,f25(a26,a26))),f25(f25(x7031,x7031),f25(x7031,f25(a26,a26)))),f25(f25(f25(x7031,x7031),f25(x7031,f25(a26,a26))),f25(x7032,x7032))),f25(f25(f25(f25(x7031,x7031),f25(x7031,f25(a26,a26))),f25(f25(x7031,x7031),f25(x7031,f25(a26,a26)))),f25(f25(f25(x7031,x7031),f25(x7031,f25(a26,a26))),f25(x7032,x7032))))),f25(f25(f25(f25(f25(f25(x7033,x7033),f25(x7033,f25(a4,a4))),f25(f25(x7033,x7033),f25(x7033,f25(a4,a4)))),f25(f25(f25(x7033,x7033),f25(x7033,f25(a4,a4))),f25(x7034,x7034))),f25(f25(f25(f25(x7033,x7033),f25(x7033,f25(a4,a4))),f25(f25(x7033,x7033),f25(x7033,f25(a4,a4)))),f25(f25(f25(x7033,x7033),f25(x7033,f25(a4,a4))),f25(x7034,x7034)))),f25(f25(f25(f25(f25(x7033,x7033),f25(x7033,f25(a4,a4))),f25(f25(x7033,x7033),f25(x7033,f25(a4,a4)))),f25(f25(f25(x7033,x7033),f25(x7033,f25(a4,a4))),f25(x7034,x7034))),f25(f25(f25(f25(x7033,x7033),f25(x7033,f25(a4,a4))),f25(f25(x7033,x7033),f25(x7033,f25(a4,a4)))),f25(f25(f25(x7033,x7033),f25(x7033,f25(a4,a4))),f25(x7034,x7034))))))),
% 4.29/4.43 inference(scs_inference,[],[59,684,74,56,689,616,658,646,692,306,479,583,582,421,110,111,104,121,154,122,100,37,115,114])).
% 4.29/4.43 cnf(704,plain,
% 4.29/4.43 (P5(f25(x7041,x7042),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(709,plain,
% 4.29/4.43 (~P5(x7091,a4)),
% 4.29/4.43 inference(rename_variables,[],[73])).
% 4.29/4.43 cnf(712,plain,
% 4.29/4.43 (P5(f25(x7121,x7121),f25(f25(x7121,x7121),f25(x7121,f25(x7122,x7122))))),
% 4.29/4.43 inference(rename_variables,[],[67])).
% 4.29/4.43 cnf(714,plain,
% 4.29/4.43 (~E(f25(f25(f25(f25(f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(f25(x7141,x7141),f25(x7141,f25(a26,a26)))),f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(x7142,x7142))),f25(f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(f25(x7141,x7141),f25(x7141,f25(a26,a26)))),f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(x7142,x7142)))),f25(f25(f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(f25(x7141,x7141),f25(x7141,f25(a26,a26)))),f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(x7142,x7142))),f25(f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(f25(x7141,x7141),f25(x7141,f25(a26,a26)))),f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(x7142,x7142))))),f25(f25(f25(f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(f25(x7141,x7141),f25(x7141,f25(a26,a26)))),f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(x7142,x7142))),f25(f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(f25(x7141,x7141),f25(x7141,f25(a26,a26)))),f25(f25(f25(x7141,x7141),f25(x7141,f25(a26,a26))),f25(x7142,x7142)))),f25(x7143,x7143))),f25(f25(f25(f25(f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(f25(x7144,x7144),f25(x7144,f25(a4,a4)))),f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(x7145,x7145))),f25(f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(f25(x7144,x7144),f25(x7144,f25(a4,a4)))),f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(x7145,x7145)))),f25(f25(f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(f25(x7144,x7144),f25(x7144,f25(a4,a4)))),f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(x7145,x7145))),f25(f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(f25(x7144,x7144),f25(x7144,f25(a4,a4)))),f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(x7145,x7145))))),f25(f25(f25(f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(f25(x7144,x7144),f25(x7144,f25(a4,a4)))),f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(x7145,x7145))),f25(f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(f25(x7144,x7144),f25(x7144,f25(a4,a4)))),f25(f25(f25(x7144,x7144),f25(x7144,f25(a4,a4))),f25(x7145,x7145)))),f25(x7146,x7146))))),
% 4.29/4.43 inference(scs_inference,[],[71,59,684,67,73,74,56,689,704,616,658,646,692,642,306,479,583,582,421,110,111,104,121,154,122,100,37,115,114,78,105,124,155])).
% 4.29/4.43 cnf(715,plain,
% 4.29/4.43 (P5(f25(x7151,x7152),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(717,plain,
% 4.29/4.43 (E(f25(f25(f12(f25(f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172))),f25(f25(x7171,f25(x7172,x7172)),f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172)))))),f12(f25(f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172))),f25(f25(x7171,f25(x7172,x7172)),f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172))))))),f25(f12(f25(f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172))),f25(f25(x7171,f25(x7172,x7172)),f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172)))))),f25(f24(f25(f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172))),f25(f25(x7171,f25(x7172,x7172)),f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172)))))),f24(f25(f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172))),f25(f25(x7171,f25(x7172,x7172)),f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172))))))))),f25(f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172))),f25(f25(x7171,f25(x7172,x7172)),f25(f25(x7171,f25(x7172,x7172)),f25(x7171,f25(x7172,x7172))))))),
% 4.29/4.43 inference(scs_inference,[],[71,59,684,67,73,74,56,689,704,616,658,646,692,642,306,479,583,582,421,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149])).
% 4.29/4.43 cnf(725,plain,
% 4.29/4.43 (~E(a1,a4)),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,67,73,69,74,56,689,704,616,658,646,692,642,306,238,240,479,583,582,421,45,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30])).
% 4.29/4.43 cnf(726,plain,
% 4.29/4.43 (~E(f25(f25(f25(a26,a26),f25(a4,a4)),f25(f25(a26,a26),f25(a26,a26))),f10(f8(x7261),x7261))),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,67,73,69,74,56,689,704,616,658,646,692,642,306,238,240,479,583,582,421,45,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3])).
% 4.29/4.43 cnf(727,plain,
% 4.29/4.43 (E(f25(x7271,x7272),f25(x7272,x7271))),
% 4.29/4.43 inference(rename_variables,[],[52])).
% 4.29/4.43 cnf(729,plain,
% 4.29/4.43 (~P5(f25(x7291,f25(x7292,x7292)),f8(f25(f25(x7291,x7291),f25(x7291,f25(x7292,x7292)))))),
% 4.29/4.43 inference(rename_variables,[],[650])).
% 4.29/4.43 cnf(733,plain,
% 4.29/4.43 (~E(f25(f25(f25(x7331,x7331),f25(x7331,x7331)),f25(f25(x7331,x7331),f25(x7332,x7332))),f8(f25(f25(f25(x7331,x7331),f25(x7331,x7331)),f25(f25(x7331,x7331),f25(x7331,x7331)))))),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,73,69,74,56,689,704,616,650,729,658,646,692,642,306,238,240,479,583,582,421,45,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33])).
% 4.29/4.43 cnf(735,plain,
% 4.29/4.43 (P5(f25(x7351,x7351),f25(f25(x7351,x7351),f25(x7351,f25(x7352,x7352))))),
% 4.29/4.43 inference(rename_variables,[],[67])).
% 4.29/4.43 cnf(737,plain,
% 4.29/4.43 (~P5(f14(a26),x7371)),
% 4.29/4.43 inference(rename_variables,[],[538])).
% 4.29/4.43 cnf(743,plain,
% 4.29/4.43 (~E(f25(f25(f12(f14(a26)),f12(f14(a26))),f25(f12(f14(a26)),f25(f24(f14(a26)),f24(f14(a26))))),f14(a26))),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,73,709,69,74,56,689,704,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,421,45,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152])).
% 4.29/4.43 cnf(744,plain,
% 4.29/4.43 (~P5(f14(a26),x7441)),
% 4.29/4.43 inference(rename_variables,[],[538])).
% 4.29/4.43 cnf(746,plain,
% 4.29/4.43 (E(f25(f14(f25(f25(x7461,x7462),f25(x7461,x7462))),f14(f25(f25(x7461,x7462),f25(x7461,x7462)))),f25(f25(x7461,x7462),f25(x7461,x7462)))),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,73,709,69,74,56,689,704,715,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,421,45,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152,136])).
% 4.29/4.43 cnf(752,plain,
% 4.29/4.43 (P5(f25(x7521,x7522),f25(x7523,f25(x7521,x7522)))),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,73,709,69,74,56,689,704,715,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,421,45,405,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152,136,175,186,106])).
% 4.29/4.43 cnf(754,plain,
% 4.29/4.43 (~E(f25(f25(x7541,x7542),x7543),a4)),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,73,709,69,74,56,689,704,715,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,421,45,405,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152,136,175,186,106,96])).
% 4.29/4.43 cnf(756,plain,
% 4.29/4.43 (~P5(x7561,f10(a4,x7562))),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,73,709,69,74,56,689,704,715,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,421,45,405,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152,136,175,186,106,96,119])).
% 4.29/4.43 cnf(758,plain,
% 4.29/4.43 (~P5(x7581,f10(x7582,a4))),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,73,709,69,74,56,689,704,715,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,421,45,405,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152,136,175,186,106,96,119,118])).
% 4.29/4.43 cnf(765,plain,
% 4.29/4.43 (~P5(f14(a26),x7651)),
% 4.29/4.43 inference(rename_variables,[],[538])).
% 4.29/4.43 cnf(768,plain,
% 4.29/4.43 (~P5(f14(a26),x7681)),
% 4.29/4.43 inference(rename_variables,[],[538])).
% 4.29/4.43 cnf(797,plain,
% 4.29/4.43 (~P5(x7971,f10(f8(x7972),x7972))),
% 4.29/4.43 inference(rename_variables,[],[74])).
% 4.29/4.43 cnf(802,plain,
% 4.29/4.43 (P5(f25(x8021,x8022),f25(f25(x8021,x8022),x8023))),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,735,73,709,69,74,693,797,56,689,704,715,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,744,765,768,421,45,405,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152,136,175,186,106,96,119,118,101,170,93,92,27,26,25,24,18,17,16,15,13,12,10,8,7,4,141,99,88,145,176,188,187,107])).
% 4.29/4.43 cnf(804,plain,
% 4.29/4.43 (~E(f25(x8041,f25(x8042,x8043)),a4)),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,735,73,709,69,74,693,797,56,689,704,715,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,744,765,768,421,45,405,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152,136,175,186,106,96,119,118,101,170,93,92,27,26,25,24,18,17,16,15,13,12,10,8,7,4,141,99,88,145,176,188,187,107,95])).
% 4.29/4.43 cnf(826,plain,
% 4.29/4.43 (P5(f25(f25(x8261,x8261),x8262),f25(f25(x8262,x8262),f25(x8262,f25(x8261,x8261))))),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,735,73,709,69,74,693,797,56,689,704,715,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,744,765,768,421,264,45,405,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152,136,175,186,106,96,119,118,101,170,93,92,27,26,25,24,18,17,16,15,13,12,10,8,7,4,141,99,88,145,176,188,187,107,95,139,128,82,171,29,28,23,22,21,20,19,14,11,9,168,102])).
% 4.29/4.43 cnf(829,plain,
% 4.29/4.43 (E(f10(a4,x8291),a4)),
% 4.29/4.43 inference(scs_inference,[],[198,71,59,684,52,727,67,712,735,73,709,69,74,693,797,56,689,704,715,616,650,729,658,646,692,642,306,662,238,240,479,583,582,538,737,744,765,768,421,264,45,405,110,111,104,121,154,122,100,37,115,114,78,105,124,155,149,98,79,123,30,3,32,5,2,33,103,83,156,152,136,175,186,106,96,119,118,101,170,93,92,27,26,25,24,18,17,16,15,13,12,10,8,7,4,141,99,88,145,176,188,187,107,95,139,128,82,171,29,28,23,22,21,20,19,14,11,9,168,102,90])).
% 4.29/4.43 cnf(833,plain,
% 4.29/4.43 (~P5(x8331,f9(a4))),
% 4.29/4.43 inference(scs_inference,[],[829,137])).
% 4.29/4.43 cnf(837,plain,
% 4.29/4.43 (~P5(x8371,f9(f8(f6(f25(x8371,x8371),a19))))),
% 4.29/4.43 inference(rename_variables,[],[207])).
% 4.29/4.43 cnf(842,plain,
% 4.29/4.43 (P5(f16(f25(f25(x8421,x8422),x8423),a4),f25(f25(x8421,x8422),x8423))),
% 4.29/4.43 inference(scs_inference,[],[207,56,758,754,829,137,102,84,90])).
% 4.29/4.43 cnf(844,plain,
% 4.29/4.43 (P5(f16(f25(a4,a4),f25(a19,a19)),f25(a4,a4))),
% 4.29/4.43 inference(scs_inference,[],[207,56,628,758,754,829,137,102,84,90,100])).
% 4.29/4.43 cnf(848,plain,
% 4.29/4.43 (E(f9(a4),a4)),
% 4.29/4.43 inference(scs_inference,[],[207,73,56,628,758,754,829,137,102,84,90,100,111,122])).
% 4.29/4.43 cnf(851,plain,
% 4.29/4.43 (~P6(f25(a4,a4),f10(f8(x8511),x8511))),
% 4.29/4.43 inference(scs_inference,[],[207,204,73,56,628,758,754,829,137,102,84,90,100,111,122,104])).
% 4.29/4.43 cnf(857,plain,
% 4.29/4.43 (~P5(f25(a4,a4),f25(f25(a26,a26),f25(a26,a26)))),
% 4.29/4.43 inference(scs_inference,[],[62,207,204,73,56,752,628,758,671,754,829,562,137,102,84,90,100,111,122,104,105,124])).
% 4.29/4.43 cnf(860,plain,
% 4.29/4.43 (~E(a4,f25(a4,a4))),
% 4.29/4.43 inference(scs_inference,[],[62,207,50,204,73,56,752,628,758,671,754,829,562,137,102,84,90,100,111,122,104,105,124,37])).
% 4.29/4.43 cnf(861,plain,
% 4.29/4.43 (P6(a4,x8611)),
% 4.29/4.43 inference(rename_variables,[],[50])).
% 4.29/4.43 cnf(864,plain,
% 4.29/4.43 (~E(f25(a26,a26),a26)),
% 4.29/4.43 inference(scs_inference,[],[62,207,50,204,73,56,752,628,758,478,671,754,829,562,137,102,84,90,100,111,122,104,105,124,37,115,78])).
% 4.29/4.43 cnf(866,plain,
% 4.29/4.43 (E(a4,f10(f6(x8661,x8662),f8(f6(x8661,x8662))))),
% 4.29/4.43 inference(scs_inference,[],[62,207,50,861,204,73,56,695,752,628,758,478,671,754,829,562,137,102,84,90,100,111,122,104,105,124,37,115,78,98])).
% 4.29/4.43 cnf(872,plain,
% 4.29/4.43 (E(f8(f10(f8(f25(x8721,x8721)),f8(f25(x8722,x8722)))),f25(x8722,x8721))),
% 4.29/4.43 inference(scs_inference,[],[62,207,50,861,204,52,68,73,56,695,752,628,758,478,671,754,829,562,137,102,84,90,100,111,122,104,105,124,37,115,78,98,79,3])).
% 4.29/4.43 cnf(876,plain,
% 4.29/4.43 (~E(f8(f25(f25(f25(x8761,x8761),f25(x8761,x8761)),f25(f25(x8761,x8761),f25(x8761,x8761)))),f25(f25(f25(x8761,x8761),f25(x8761,x8761)),f25(f25(x8761,x8761),f25(x8762,x8762))))),
% 4.29/4.43 inference(scs_inference,[],[62,207,837,197,50,861,204,52,68,73,56,733,695,752,628,758,478,671,754,829,562,137,102,84,90,100,111,122,104,105,124,37,115,78,98,79,3,32,2])).
% 4.29/4.43 cnf(877,plain,
% 4.29/4.43 (~E(f25(x8771,f25(f25(f25(f25(f25(f25(x8772,x8772),f25(x8772,f25(a26,a26))),f25(f25(x8772,x8772),f25(x8772,f25(a26,a26)))),f25(f25(f25(x8772,x8772),f25(x8772,f25(a26,a26))),f25(x8773,x8773))),f25(f25(f25(f25(x8772,x8772),f25(x8772,f25(a26,a26))),f25(f25(x8772,x8772),f25(x8772,f25(a26,a26)))),f25(f25(f25(x8772,x8772),f25(x8772,f25(a26,a26))),f25(x8773,x8773)))),f25(f25(f25(f25(f25(x8772,x8772),f25(x8772,f25(a26,a26))),f25(f25(x8772,x8772),f25(x8772,f25(a26,a26)))),f25(f25(f25(x8772,x8772),f25(x8772,f25(a26,a26))),f25(x8773,x8773))),f25(f25(f25(f25(x8772,x8772),f25(x8772,f25(a26,a26))),f25(f25(x8772,x8772),f25(x8772,f25(a26,a26)))),f25(f25(f25(x8772,x8772),f25(x8772,f25(a26,a26))),f25(x8773,x8773)))))),f25(x8771,f25(f25(f25(f25(f25(f25(x8774,x8774),f25(x8774,f25(a4,a4))),f25(f25(x8774,x8774),f25(x8774,f25(a4,a4)))),f25(f25(f25(x8774,x8774),f25(x8774,f25(a4,a4))),f25(x8775,x8775))),f25(f25(f25(f25(x8774,x8774),f25(x8774,f25(a4,a4))),f25(f25(x8774,x8774),f25(x8774,f25(a4,a4)))),f25(f25(f25(x8774,x8774),f25(x8774,f25(a4,a4))),f25(x8775,x8775)))),f25(f25(f25(f25(f25(x8774,x8774),f25(x8774,f25(a4,a4))),f25(f25(x8774,x8774),f25(x8774,f25(a4,a4)))),f25(f25(f25(x8774,x8774),f25(x8774,f25(a4,a4))),f25(x8775,x8775))),f25(f25(f25(f25(x8774,x8774),f25(x8774,f25(a4,a4))),f25(f25(x8774,x8774),f25(x8774,f25(a4,a4)))),f25(f25(f25(x8774,x8774),f25(x8774,f25(a4,a4))),f25(x8775,x8775)))))))),
% 4.29/4.43 inference(scs_inference,[],[62,207,837,197,50,861,204,52,68,73,56,733,695,752,688,628,758,478,671,754,829,562,137,102,84,90,100,111,122,104,105,124,37,115,78,98,79,3,32,2,5])).
% 4.29/4.43 cnf(879,plain,
% 4.29/4.43 (P5(f25(f25(x8791,x8791),x8792),f25(f25(x8792,f25(x8791,x8791)),f25(x8792,x8792)))),
% 4.29/4.43 inference(scs_inference,[],[62,207,837,197,50,861,204,52,68,73,56,733,826,695,752,688,628,758,478,671,754,829,562,137,102,84,90,100,111,122,104,105,124,37,115,78,98,79,3,32,2,5,33])).
% 4.29/4.43 cnf(882,plain,
% 4.29/4.43 (~P5(f14(a26),x8821)),
% 4.29/4.43 inference(rename_variables,[],[538])).
% 4.29/4.43 cnf(891,plain,
% 4.29/4.43 (P5(f9(f9(f11(f6(f10(a2,f6(a1,a19)),a19)))),a19)),
% 4.29/4.43 inference(scs_inference,[],[46,62,207,837,197,50,861,204,52,68,73,56,48,733,826,695,752,688,628,758,478,671,754,829,538,882,562,137,102,84,90,100,111,122,104,105,124,37,115,78,98,79,3,32,2,5,33,193,150,120,117,182])).
% 4.29/4.43 cnf(893,plain,
% 4.29/4.43 (P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(f25(x8931,x8932),f25(x8931,x8932)),f25(f25(x8931,x8932),f25(x8931,x8932))),a19)),a19))))))),f25(f25(x8931,x8932),f25(x8931,x8932)))),
% 4.29/4.43 inference(scs_inference,[],[46,62,207,837,197,50,861,204,52,68,73,56,48,733,826,695,752,688,628,758,478,671,754,829,538,882,562,137,102,84,90,100,111,122,104,105,124,37,115,78,98,79,3,32,2,5,33,193,150,120,117,182,192])).
% 4.29/4.43 cnf(894,plain,
% 4.29/4.43 (~E(f25(f25(x8941,x8942),x8943),a4)),
% 4.29/4.43 inference(rename_variables,[],[754])).
% 4.29/4.43 cnf(897,plain,
% 4.29/4.43 (~E(f25(f25(f25(x8971,x8972),x8973),f25(f25(x8971,x8972),x8973)),f25(a4,a4))),
% 4.29/4.43 inference(scs_inference,[],[46,62,207,837,197,50,861,204,52,68,73,56,48,47,733,826,695,752,688,628,758,478,671,754,894,829,538,882,562,137,102,84,90,100,111,122,104,105,124,37,115,78,98,79,3,32,2,5,33,193,150,120,117,182,192,113])).
% 4.29/4.43 cnf(919,plain,
% 4.29/4.43 (~P5(a26,x9191)),
% 4.29/4.43 inference(rename_variables,[],[435])).
% 4.29/4.43 cnf(921,plain,
% 4.29/4.43 (~E(f25(f8(f25(f25(f25(x9211,x9211),f25(x9211,x9211)),f25(f25(x9211,x9211),f25(x9211,x9211)))),f8(f25(f25(f25(x9211,x9211),f25(x9211,x9211)),f25(f25(x9211,x9211),f25(x9211,x9211))))),f25(f25(f25(f25(x9211,x9211),f25(x9211,x9211)),f25(f25(x9211,x9211),f25(x9212,x9212))),f25(f25(f25(x9211,x9211),f25(x9211,x9211)),f25(f25(x9211,x9211),f25(x9212,x9212)))))),
% 4.29/4.43 inference(scs_inference,[],[48,56,876,844,435,328,117,150,113])).
% 4.29/4.43 cnf(922,plain,
% 4.29/4.43 (P5(f25(x9221,x9222),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(929,plain,
% 4.29/4.43 (P5(f25(f25(a1,a1),f25(a1,f25(a1,a1))),f6(a19,a19))),
% 4.29/4.43 inference(scs_inference,[],[209,48,56,922,876,844,725,435,328,117,150,113,192,102,151])).
% 4.29/4.43 cnf(931,plain,
% 4.29/4.43 (~E(f25(f25(x9311,x9311),f25(x9311,f25(a4,a4))),f25(f25(x9312,x9312),f25(x9312,f25(f25(a4,a4),f25(a4,a4)))))),
% 4.29/4.43 inference(scs_inference,[],[47,209,48,56,922,876,844,860,725,435,328,117,150,113,192,102,151,154])).
% 4.29/4.43 cnf(938,plain,
% 4.29/4.43 (~P6(f25(a4,a4),f10(f6(x9381,x9382),f8(f6(x9381,x9382))))),
% 4.29/4.43 inference(scs_inference,[],[47,209,61,48,56,922,876,851,844,833,860,725,435,328,117,150,113,192,102,151,154,84,100,38])).
% 4.29/4.43 cnf(939,plain,
% 4.29/4.43 (~P6(f25(a4,a4),f10(f8(x9391),x9391))),
% 4.29/4.43 inference(rename_variables,[],[851])).
% 4.29/4.43 cnf(941,plain,
% 4.29/4.43 (P5(f16(f25(f25(f25(a26,a26),f25(a4,a4)),f25(f25(a26,a26),f25(a26,a26))),f10(f8(x9411),x9411)),f25(f25(f25(a26,a26),f25(a4,a4)),f25(f25(a26,a26),f25(a26,a26))))),
% 4.29/4.43 inference(scs_inference,[],[47,209,74,61,48,56,922,876,851,726,844,833,860,725,435,328,117,150,113,192,102,151,154,84,100,38,122])).
% 4.29/4.43 cnf(944,plain,
% 4.29/4.43 (~P6(f25(x9441,a4),f10(f8(x9442),x9442))),
% 4.29/4.43 inference(scs_inference,[],[47,209,59,74,61,48,56,922,876,851,939,726,844,833,860,725,435,328,117,150,113,192,102,151,154,84,100,38,122,104])).
% 4.29/4.43 cnf(960,plain,
% 4.29/4.43 (~P6(f25(f25(f25(f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602))),f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602)))),f25(f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602))),f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602))))),f25(f25(f25(f25(f25(f25(x9603,x9603),f25(x9603,f25(a4,a4))),f25(f25(x9603,x9603),f25(x9603,f25(a4,a4)))),f25(f25(f25(x9603,x9603),f25(x9603,f25(a4,a4))),f25(x9604,x9604))),f25(f25(f25(f25(x9603,x9603),f25(x9603,f25(a4,a4))),f25(f25(x9603,x9603),f25(x9603,f25(a4,a4)))),f25(f25(f25(x9603,x9603),f25(x9603,f25(a4,a4))),f25(x9604,x9604)))),f25(f25(f25(f25(f25(x9603,x9603),f25(x9603,f25(a4,a4))),f25(f25(x9603,x9603),f25(x9603,f25(a4,a4)))),f25(f25(f25(x9603,x9603),f25(x9603,f25(a4,a4))),f25(x9604,x9604))),f25(f25(f25(f25(x9603,x9603),f25(x9603,f25(a4,a4))),f25(f25(x9603,x9603),f25(x9603,f25(a4,a4)))),f25(f25(f25(x9603,x9603),f25(x9603,f25(a4,a4))),f25(x9604,x9604)))))),f25(f25(f25(f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602))),f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602)))),f25(f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602))),f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602))))),f25(f25(f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602))),f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602)))),f25(f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602))),f25(f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(f25(x9601,x9601),f25(x9601,f25(a26,a26)))),f25(f25(f25(x9601,x9601),f25(x9601,f25(a26,a26))),f25(x9602,x9602)))))))),
% 4.29/4.43 inference(scs_inference,[],[47,53,209,59,60,68,74,61,48,56,922,876,879,851,939,897,877,726,844,833,860,725,566,435,328,117,150,113,192,102,151,154,84,100,38,122,104,155,111,115,78,124,105,98])).
% 4.29/4.43 cnf(964,plain,
% 4.29/4.43 (~P6(f8(f10(f8(f25(a4,a4)),f8(f25(a4,a4)))),f10(f8(x9641),x9641))),
% 4.29/4.43 inference(scs_inference,[],[47,53,209,59,60,68,74,61,48,56,922,876,879,851,939,897,877,726,844,833,860,725,566,435,328,117,150,113,192,102,151,154,84,100,38,122,104,155,111,115,78,124,105,98,37])).
% 4.29/4.43 cnf(965,plain,
% 4.29/4.43 (E(f8(f10(f8(f25(x9651,x9651)),f8(f25(x9652,x9652)))),f25(x9651,x9652))),
% 4.29/4.43 inference(rename_variables,[],[68])).
% 4.29/4.43 cnf(974,plain,
% 4.29/4.43 (~P5(x9741,f9(f8(f6(f25(x9741,x9741),a19))))),
% 4.29/4.43 inference(rename_variables,[],[207])).
% 4.29/4.43 cnf(982,plain,
% 4.29/4.43 (~E(f25(a1,a1),f25(a4,a4))),
% 4.29/4.43 inference(scs_inference,[],[47,53,209,207,974,70,59,60,201,68,965,74,61,48,56,922,876,879,851,939,897,877,726,844,833,860,725,566,435,919,328,117,150,113,192,102,151,154,84,100,38,122,104,155,111,115,78,124,105,98,37,79,2,3,32,5,33,81,165,164,116])).
% 4.29/4.43 cnf(1002,plain,
% 4.29/4.43 (~E(f25(f25(x10021,x10021),f25(x10021,f25(f25(f8(f25(f25(f25(x10022,x10022),f25(x10022,x10022)),f25(f25(x10022,x10022),f25(x10022,x10022)))),f8(f25(f25(f25(x10022,x10022),f25(x10022,x10022)),f25(f25(x10022,x10022),f25(x10022,x10022))))),f25(f8(f25(f25(f25(x10022,x10022),f25(x10022,x10022)),f25(f25(x10022,x10022),f25(x10022,x10022)))),f8(f25(f25(f25(x10022,x10022),f25(x10022,x10022)),f25(f25(x10022,x10022),f25(x10022,x10022)))))))),f25(f25(x10023,x10023),f25(x10023,f25(f25(f25(f25(f25(x10022,x10022),f25(x10022,x10022)),f25(f25(x10022,x10022),f25(x10024,x10024))),f25(f25(f25(x10022,x10022),f25(x10022,x10022)),f25(f25(x10022,x10022),f25(x10024,x10024)))),f25(f25(f25(f25(x10022,x10022),f25(x10022,x10022)),f25(f25(x10022,x10022),f25(x10024,x10024))),f25(f25(f25(x10022,x10022),f25(x10022,x10022)),f25(f25(x10022,x10022),f25(x10024,x10024))))))))),
% 4.29/4.43 inference(scs_inference,[],[56,921,941,110,154])).
% 4.29/4.43 cnf(1003,plain,
% 4.29/4.43 (P5(f25(x10031,x10032),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(1005,plain,
% 4.29/4.43 (~E(f25(f25(f8(f25(f25(f25(x10051,x10051),f25(x10051,x10051)),f25(f25(x10051,x10051),f25(x10051,x10051)))),f8(f25(f25(f25(x10051,x10051),f25(x10051,x10051)),f25(f25(x10051,x10051),f25(x10051,x10051))))),f25(f8(f25(f25(f25(x10051,x10051),f25(x10051,x10051)),f25(f25(x10051,x10051),f25(x10051,x10051)))),f8(f25(f25(f25(x10051,x10051),f25(x10051,x10051)),f25(f25(x10051,x10051),f25(x10051,x10051)))))),f25(f25(f25(f25(f25(x10051,x10051),f25(x10051,x10051)),f25(f25(x10051,x10051),f25(x10052,x10052))),f25(f25(f25(x10051,x10051),f25(x10051,x10051)),f25(f25(x10051,x10051),f25(x10052,x10052)))),f25(f25(f25(f25(x10051,x10051),f25(x10051,x10051)),f25(f25(x10051,x10051),f25(x10052,x10052))),f25(f25(f25(x10051,x10051),f25(x10051,x10051)),f25(f25(x10051,x10051),f25(x10052,x10052))))))),
% 4.29/4.43 inference(scs_inference,[],[56,1003,921,941,110,154,116])).
% 4.29/4.43 cnf(1006,plain,
% 4.29/4.43 (P5(f25(x10061,x10062),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(1010,plain,
% 4.29/4.43 (~E(f25(f25(f25(f8(f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10101,x10101)))),f8(f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10101,x10101))))),f25(f8(f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10101,x10101)))),f8(f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10101,x10101)))))),f25(f25(f8(f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10101,x10101)))),f8(f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10101,x10101))))),f25(x10102,x10102))),f25(f25(f25(f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10103,x10103))),f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10103,x10103)))),f25(f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10103,x10103))),f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10103,x10103))))),f25(f25(f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10103,x10103))),f25(f25(f25(x10101,x10101),f25(x10101,x10101)),f25(f25(x10101,x10101),f25(x10103,x10103)))),f25(x10104,x10104))))),
% 4.29/4.43 inference(scs_inference,[],[56,1003,1006,960,921,941,110,154,116,100,155])).
% 4.29/4.43 cnf(1011,plain,
% 4.29/4.43 (P5(f25(x10111,x10112),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(1023,plain,
% 4.29/4.43 (~E(f10(f6(x10231,x10232),f8(f6(x10231,x10232))),f25(a4,a4))),
% 4.29/4.43 inference(scs_inference,[],[47,207,56,1003,1006,960,921,938,941,459,864,893,486,110,154,116,100,155,111,122,105,115,78])).
% 4.29/4.43 cnf(1027,plain,
% 4.29/4.43 (~P6(f25(f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4))),f25(f25(f25(a4,a4),f25(a4,a4)),f25(a4,a4))),f25(f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4))),f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4)))))),
% 4.29/4.43 inference(scs_inference,[],[47,207,60,56,1003,1006,960,921,931,938,941,929,459,864,893,486,110,154,116,100,155,111,122,105,115,78,124,98])).
% 4.29/4.43 cnf(1028,plain,
% 4.29/4.43 (~E(f25(f25(x10281,x10281),f25(x10281,f25(a4,a4))),f25(f25(x10282,x10282),f25(x10282,f25(f25(a4,a4),f25(a4,a4)))))),
% 4.29/4.43 inference(rename_variables,[],[931])).
% 4.29/4.43 cnf(1035,plain,
% 4.29/4.43 (~E(f25(f25(x10351,f25(a4,a4)),f25(x10351,x10351)),f25(f25(x10352,x10352),f25(x10352,f25(f25(a4,a4),f25(a4,a4)))))),
% 4.29/4.43 inference(scs_inference,[],[47,207,51,60,52,56,1003,1006,960,921,931,1028,938,941,929,459,864,893,486,110,154,116,100,155,111,122,105,115,78,124,98,79,37,3])).
% 4.29/4.43 cnf(1036,plain,
% 4.29/4.43 (E(f25(x10361,x10362),f25(x10362,x10361))),
% 4.29/4.43 inference(rename_variables,[],[52])).
% 4.29/4.43 cnf(1039,plain,
% 4.29/4.43 (~E(f25(f25(f25(f25(x10391,x10391),f25(x10391,x10391)),f25(f25(x10391,x10391),f25(x10392,x10392))),f25(f25(f25(x10391,x10391),f25(x10391,x10391)),f25(f25(x10391,x10391),f25(x10392,x10392)))),f25(f8(f25(f25(f25(x10391,x10391),f25(x10391,x10391)),f25(f25(x10391,x10391),f25(x10391,x10391)))),f8(f25(f25(f25(x10391,x10391),f25(x10391,x10391)),f25(f25(x10391,x10391),f25(x10391,x10391))))))),
% 4.29/4.43 inference(scs_inference,[],[47,212,207,51,60,52,1036,56,1003,1006,960,921,931,1028,938,941,929,459,864,893,486,110,154,116,100,155,111,122,105,115,78,124,98,79,37,3,32,2])).
% 4.29/4.43 cnf(1040,plain,
% 4.29/4.43 (~E(f25(x10401,f25(a4,a4)),f25(x10401,f25(f25(a4,a4),f25(a4,a4))))),
% 4.29/4.43 inference(scs_inference,[],[47,212,207,51,60,52,1036,56,1003,1006,960,921,931,1028,938,941,929,459,864,893,486,110,154,116,100,155,111,122,105,115,78,124,98,79,37,3,32,2,5])).
% 4.29/4.43 cnf(1049,plain,
% 4.29/4.43 (~P6(f25(f25(f25(f25(x10491,x10491),f25(x10491,x10491)),f25(f25(x10491,x10491),f25(x10492,x10492))),f25(f25(f25(x10491,x10491),f25(x10491,x10491)),f25(f25(x10491,x10491),f25(x10492,x10492)))),f25(f8(f25(f25(f25(x10491,x10491),f25(x10491,x10491)),f25(f25(x10491,x10491),f25(x10491,x10491)))),f8(f25(f25(f25(x10491,x10491),f25(x10491,x10491)),f25(f25(x10491,x10491),f25(x10491,x10491))))))),
% 4.29/4.43 inference(scs_inference,[],[47,212,207,51,60,52,1036,56,1003,1006,1011,960,921,872,931,1028,938,941,929,459,864,893,743,804,486,110,154,116,100,155,111,122,105,115,78,124,98,79,37,3,32,2,5,33,179,143,121])).
% 4.29/4.43 cnf(1077,plain,
% 4.29/4.43 (P5(f16(f25(x10771,f25(x10772,x10773)),a4),f25(x10771,f25(x10772,x10773)))),
% 4.29/4.43 inference(scs_inference,[],[804,90])).
% 4.29/4.43 cnf(1083,plain,
% 4.29/4.43 (~P5(x10831,f9(f8(f6(f25(x10831,x10831),a19))))),
% 4.29/4.43 inference(rename_variables,[],[207])).
% 4.29/4.43 cnf(1087,plain,
% 4.29/4.43 (~E(f25(f25(f25(f25(f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871)))),f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871))))),f25(f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871)))),f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871)))))),f25(f25(f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871)))),f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871))))),f25(x10872,x10872))),f25(f25(f25(f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871)))),f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871))))),f25(f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871)))),f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871)))))),f25(f25(f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871)))),f8(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10871,x10871))))),f25(x10872,x10872)))),f25(f25(f25(f25(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873))),f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873)))),f25(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873))),f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873))))),f25(f25(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873))),f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873)))),f25(x10874,x10874))),f25(f25(f25(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873))),f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873)))),f25(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873))),f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873))))),f25(f25(f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873))),f25(f25(f25(x10871,x10871),f25(x10871,x10871)),f25(f25(x10871,x10871),f25(x10873,x10873)))),f25(x10874,x10874)))))),
% 4.29/4.43 inference(scs_inference,[],[48,70,207,56,1010,1049,479,804,90,110,9,102,84,114])).
% 4.29/4.43 cnf(1088,plain,
% 4.29/4.43 (P5(f25(x10881,x10882),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(1093,plain,
% 4.29/4.43 (P5(f25(x10931,x10932),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(1099,plain,
% 4.29/4.43 (P6(a4,x10991)),
% 4.29/4.43 inference(rename_variables,[],[50])).
% 4.29/4.43 cnf(1104,plain,
% 4.29/4.43 (~P5(f25(f25(f8(f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11041,x11041)))),f8(f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11041,x11041))))),f25(f8(f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11041,x11041)))),f8(f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11041,x11041)))))),f25(f25(f25(f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11042,x11042))),f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11042,x11042)))),f25(f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11042,x11042))),f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11042,x11042))))),f25(f25(f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11042,x11042))),f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11042,x11042)))),f25(f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11042,x11042))),f25(f25(f25(x11041,x11041),f25(x11041,x11041)),f25(f25(x11041,x11041),f25(x11042,x11042)))))))),
% 4.29/4.43 inference(scs_inference,[],[48,58,50,70,207,56,1088,1005,1010,1002,1049,316,756,479,929,804,90,110,9,102,84,114,149,116,100,104,105,111])).
% 4.29/4.43 cnf(1123,plain,
% 4.29/4.43 (~P5(f25(a4,a4),f8(f10(f8(f25(f25(a26,a26),f25(a26,a26))),f8(f25(f25(a26,a26),f25(a26,a26))))))),
% 4.29/4.43 inference(scs_inference,[],[48,58,50,1099,204,70,207,1083,201,61,68,56,1088,857,1005,1010,1002,1049,1027,308,527,316,866,802,756,726,479,929,804,90,110,9,102,84,114,149,116,100,104,105,111,98,78,124,79,37,3,32,5,2,33])).
% 4.29/4.43 cnf(1129,plain,
% 4.29/4.43 (~E(f25(a1,x11291),a4)),
% 4.29/4.43 inference(scs_inference,[],[48,58,50,1099,212,204,70,207,1083,201,61,68,56,1088,857,1005,1010,1002,1049,1027,308,527,316,866,891,802,756,726,479,929,804,90,110,9,102,84,114,149,116,100,104,105,111,98,78,124,79,37,3,32,5,2,33,156,106,96])).
% 4.29/4.43 cnf(1143,plain,
% 4.29/4.43 (~E(f25(x11431,a1),a4)),
% 4.29/4.43 inference(scs_inference,[],[48,58,50,1099,212,204,70,207,1083,201,61,68,56,1088,1093,857,1005,1010,1002,1049,1027,308,527,316,866,891,802,756,726,479,929,804,90,110,9,102,84,114,149,116,100,104,105,111,98,78,124,79,37,3,32,5,2,33,156,106,96,101,118,119,83,175,107,95])).
% 4.29/4.43 cnf(1149,plain,
% 4.29/4.43 (P5(f9(f10(a5,f6(a19,a1))),a19)),
% 4.29/4.43 inference(scs_inference,[],[48,58,50,1099,212,204,70,207,1083,201,61,68,56,1088,1093,857,1005,1010,1002,1049,1027,308,527,316,866,891,802,756,726,479,929,804,90,110,9,102,84,114,149,116,100,104,105,111,98,78,124,79,37,3,32,5,2,33,156,106,96,101,118,119,83,175,107,95,187,186,139])).
% 4.29/4.43 cnf(1151,plain,
% 4.29/4.43 (E(f25(f14(f25(a1,a1)),f14(f25(a1,a1))),f25(a1,a1))),
% 4.29/4.43 inference(scs_inference,[],[48,58,50,1099,212,204,70,207,1083,201,61,68,56,1088,1093,857,1005,1010,1002,1049,1027,308,527,316,866,891,802,756,726,479,929,804,90,110,9,102,84,114,149,116,100,104,105,111,98,78,124,79,37,3,32,5,2,33,156,106,96,101,118,119,83,175,107,95,187,186,139,136])).
% 4.29/4.43 cnf(1189,plain,
% 4.29/4.43 (P5(f25(f25(f25(x11891,x11892),f25(x11891,x11892)),f25(f25(x11891,x11892),f25(f25(x11891,x11892),f25(x11891,x11892)))),f6(a19,a19))),
% 4.29/4.43 inference(scs_inference,[],[48,58,50,1099,212,204,70,207,1083,201,61,68,56,1088,1093,857,1005,1010,1002,1049,1027,308,527,316,866,891,802,756,726,479,929,743,804,90,110,9,102,84,114,149,116,100,104,105,111,98,78,124,79,37,3,32,5,2,33,156,106,96,101,118,119,83,175,107,95,187,186,139,136,145,176,26,25,18,17,16,15,13,12,7,99,188,4,128,82,27,24,23,22,21,20,19,11,10,8,44,29,28,14,151])).
% 4.29/4.43 cnf(1194,plain,
% 4.29/4.43 (~P1(f14(f25(a4,a4)))),
% 4.29/4.43 inference(scs_inference,[],[48,58,198,50,1099,212,204,70,207,1083,201,61,68,56,1088,1093,857,1005,1010,1002,1049,1027,308,527,316,866,891,802,756,726,479,929,743,804,583,90,110,9,102,84,114,149,116,100,104,105,111,98,78,124,79,37,3,32,5,2,33,156,106,96,101,118,119,83,175,107,95,187,186,139,136,145,176,26,25,18,17,16,15,13,12,7,99,188,4,128,82,27,24,23,22,21,20,19,11,10,8,44,29,28,14,151,123,30])).
% 4.29/4.43 cnf(1215,plain,
% 4.29/4.43 (P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(a1,x12151),f25(a1,x12151)),a19)),a19))))))),f25(a1,x12151))),
% 4.29/4.43 inference(scs_inference,[],[56,1129,192])).
% 4.29/4.43 cnf(1216,plain,
% 4.29/4.43 (~E(f25(a1,x12161),a4)),
% 4.29/4.43 inference(rename_variables,[],[1129])).
% 4.29/4.43 cnf(1217,plain,
% 4.29/4.43 (P5(f25(x12171,x12172),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(1222,plain,
% 4.29/4.43 (P5(f25(x12221,x12222),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(1224,plain,
% 4.29/4.43 (~P6(f25(a4,a4),f25(a1,a1))),
% 4.29/4.43 inference(scs_inference,[],[212,56,1217,982,1189,1129,262,192,110,102,121])).
% 4.29/4.43 cnf(1227,plain,
% 4.29/4.43 (P5(f16(f8(f10(f8(f25(a4,a4)),f8(f25(a4,a4)))),f10(f8(x12271),x12271)),f8(f10(f8(f25(a4,a4)),f8(f25(a4,a4)))))),
% 4.29/4.43 inference(scs_inference,[],[212,56,1217,964,982,1189,1129,262,192,110,102,121,100])).
% 4.29/4.43 cnf(1238,plain,
% 4.29/4.43 (~P6(f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(f25(a4,a4),f25(a4,a4)))),f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4))))),
% 4.29/4.43 inference(scs_inference,[],[48,63,60,212,56,1217,1035,964,982,1189,1077,1129,671,262,192,110,102,121,100,123,105,111,124,98])).
% 4.29/4.43 cnf(1242,plain,
% 4.29/4.43 (~E(f10(f8(x12421),x12421),f8(f10(f8(f25(a4,a4)),f8(f25(a4,a4)))))),
% 4.29/4.43 inference(scs_inference,[],[48,63,60,212,56,1217,1035,964,982,1189,1077,1129,671,262,192,110,102,121,100,123,105,111,124,98,78])).
% 4.29/4.43 cnf(1244,plain,
% 4.29/4.43 (~E(f8(f10(f8(f25(a4,a4)),f8(f25(a4,a4)))),f10(f8(x12441),x12441))),
% 4.29/4.43 inference(scs_inference,[],[48,63,60,212,56,1217,1035,964,982,1189,1077,1129,671,262,192,110,102,121,100,123,105,111,124,98,78,79])).
% 4.29/4.43 cnf(1246,plain,
% 4.29/4.43 (~P6(f25(a4,x12461),f10(f8(x12462),x12462))),
% 4.29/4.43 inference(scs_inference,[],[48,63,60,52,212,56,1217,1035,964,982,1189,1077,944,1129,671,262,192,110,102,121,100,123,105,111,124,98,78,79,37])).
% 4.29/4.43 cnf(1248,plain,
% 4.29/4.43 (E(f25(x12481,x12482),f25(x12482,x12481))),
% 4.29/4.43 inference(rename_variables,[],[52])).
% 4.29/4.43 cnf(1249,plain,
% 4.29/4.43 (~E(f25(a1,x12491),f10(f8(x12492),x12492))),
% 4.29/4.43 inference(scs_inference,[],[48,63,60,201,52,212,56,1217,1035,964,982,1189,1077,944,1129,1216,671,262,192,110,102,121,100,123,105,111,124,98,78,79,37,3])).
% 4.29/4.43 cnf(1250,plain,
% 4.29/4.43 (~E(f25(a4,a4),f25(f25(a4,a4),f25(a4,a4)))),
% 4.29/4.43 inference(scs_inference,[],[48,63,60,201,52,212,56,1217,1035,964,1040,982,1189,1077,944,1129,1216,671,262,192,110,102,121,100,123,105,111,124,98,78,79,37,3,5])).
% 4.29/4.43 cnf(1251,plain,
% 4.29/4.43 (~E(f25(x12511,x12512),a26)),
% 4.29/4.43 inference(scs_inference,[],[48,63,60,201,52,212,56,1217,1222,1035,964,1040,982,1189,1077,944,1129,1216,671,262,435,192,110,102,121,100,123,105,111,124,98,78,79,37,3,5,32])).
% 4.29/4.43 cnf(1260,plain,
% 4.29/4.43 (~P5(f16(f8(f10(f8(f25(a4,a4)),f8(f25(a4,a4)))),f10(f8(x12601),x12601)),f10(f8(f25(a4,a4)),f8(f25(a4,a4))))),
% 4.29/4.43 inference(scs_inference,[],[48,63,207,60,201,52,212,56,1217,1222,1087,1035,964,1040,982,1189,1194,1077,944,686,1129,1216,671,262,435,192,110,102,121,100,123,105,111,124,98,78,79,37,3,5,32,2,33,184,120,101])).
% 4.29/4.43 cnf(1262,plain,
% 4.29/4.43 (~E(a19,f14(f25(a4,a4)))),
% 4.29/4.43 inference(scs_inference,[],[48,63,207,60,201,52,212,56,1217,1222,1087,1035,964,1040,982,1189,1194,1077,944,686,1129,1216,229,671,262,435,192,110,102,121,100,123,105,111,124,98,78,79,37,3,5,32,2,33,184,120,101,30])).
% 4.29/4.43 cnf(1267,plain,
% 4.29/4.43 (P5(f16(f10(f8(f25(f16(a26,a4),f16(a26,a4))),a26),a4),f8(f25(f16(a26,a4),f16(a26,a4))))),
% 4.29/4.43 inference(scs_inference,[],[48,63,207,60,201,52,212,56,1217,1222,1087,1035,964,1040,982,1189,1194,1077,944,686,1129,1216,229,671,262,435,479,192,110,102,121,100,123,105,111,124,98,78,79,37,3,5,32,2,33,184,120,101,30,183,180,119])).
% 4.29/4.43 cnf(1269,plain,
% 4.29/4.43 (~E(f16(f10(f8(f25(f16(a26,a4),f16(a26,a4))),a26),a4),f16(a26,a4))),
% 4.29/4.43 inference(scs_inference,[],[48,63,207,60,201,52,212,56,1217,1222,1087,1035,964,1040,982,1189,1194,1077,944,686,1129,1216,229,671,262,435,479,192,110,102,121,100,123,105,111,124,98,78,79,37,3,5,32,2,33,184,120,101,30,183,180,119,178])).
% 4.29/4.43 cnf(1277,plain,
% 4.29/4.43 (E(f9(f25(x12771,x12772)),f9(f25(x12772,x12771)))),
% 4.29/4.43 inference(scs_inference,[],[48,63,207,60,201,52,1248,212,56,1217,1222,1087,1035,964,1040,982,1189,1194,1077,944,686,1129,1216,229,671,262,435,479,405,192,110,102,121,100,123,105,111,124,98,78,79,37,3,5,32,2,33,184,120,101,30,183,180,119,178,179,177,169,6])).
% 4.29/4.43 cnf(1280,plain,
% 4.29/4.43 (E(f24(f25(f25(f25(x12801,f25(x12802,x12802)),f25(x12801,f25(x12802,x12802))),f25(f25(x12801,f25(x12802,x12802)),f25(f25(x12801,f25(x12802,x12802)),f25(x12801,f25(x12802,x12802)))))),f25(x12801,f25(x12802,x12802)))+~P5(f24(f25(f25(f25(x12801,f25(x12802,x12802)),f25(x12801,f25(x12802,x12802))),f25(f25(x12801,f25(x12802,x12802)),f25(f25(x12801,f25(x12802,x12802)),f25(x12801,f25(x12802,x12802)))))),a19)),
% 4.29/4.43 inference(scs_inference,[],[48,63,207,60,201,52,1248,212,56,1217,1222,1087,1035,964,1040,982,1189,1194,1077,944,686,1129,1216,229,671,262,435,717,479,405,192,110,102,121,100,123,105,111,124,98,78,79,37,3,5,32,2,33,184,120,101,30,183,180,119,178,179,177,169,6,31,9,154])).
% 4.29/4.43 cnf(1292,plain,
% 4.29/4.43 (P5(f25(a4,a4),f10(f8(f25(f25(a26,a26),f25(a26,a26))),f8(f25(f25(a26,a26),f25(a26,a26)))))),
% 4.29/4.43 inference(scs_inference,[],[209,56,1224,1227,1123,119,101,110,102])).
% 4.29/4.43 cnf(1293,plain,
% 4.29/4.43 (P5(f25(x12931,x12932),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(1300,plain,
% 4.29/4.43 (~P6(f25(f25(a4,a4),f25(a4,a4)),f25(a4,a4))),
% 4.29/4.43 inference(scs_inference,[],[209,56,1224,1227,1250,1123,1269,223,453,754,119,101,110,102,9,155,154,121])).
% 4.29/4.43 cnf(1303,plain,
% 4.29/4.43 (P6(f10(x13031,a4),x13032)),
% 4.29/4.43 inference(scs_inference,[],[209,56,1224,1227,1250,1123,1269,223,453,758,754,119,101,110,102,9,155,154,121,100])).
% 4.29/4.43 cnf(1307,plain,
% 4.29/4.43 (P5(f25(x13071,x13072),a19)),
% 4.29/4.43 inference(rename_variables,[],[56])).
% 4.29/4.43 cnf(1328,plain,
% 4.29/4.43 (E(a4,f9(a4))),
% 4.29/4.43 inference(scs_inference,[],[219,209,60,74,68,201,56,1293,1039,1023,1224,1227,1250,1277,848,1123,347,1269,1267,223,698,453,758,754,119,101,110,102,9,155,154,121,100,105,123,115,111,124,98,78,79,5,3,2])).
% 4.29/4.43 cnf(1333,plain,
% 4.29/4.43 (P5(f25(f25(f12(f25(f25(f25(x13331,x13332),f25(x13331,x13332)),f25(f25(x13331,x13332),f25(f25(x13331,x13332),f25(x13331,x13332))))),f12(f25(f25(f25(x13331,x13332),f25(x13331,x13332)),f25(f25(x13331,x13332),f25(f25(x13331,x13332),f25(x13331,x13332)))))),f25(f12(f25(f25(f25(x13331,x13332),f25(x13331,x13332)),f25(f25(x13331,x13332),f25(f25(x13331,x13332),f25(x13331,x13332))))),f25(f24(f25(f25(f25(x13331,x13332),f25(x13331,x13332)),f25(f25(x13331,x13332),f25(f25(x13331,x13332),f25(x13331,x13332))))),f24(f25(f25(f25(x13331,x13332),f25(x13331,x13332)),f25(f25(x13331,x13332),f25(f25(x13331,x13332),f25(x13331,x13332)))))))),f6(a19,a19))),
% 4.29/4.43 inference(scs_inference,[],[219,209,60,74,68,201,56,1293,1307,1039,1023,1224,1227,1250,1277,848,1123,347,1269,1267,223,698,453,758,1189,754,119,101,110,102,9,155,154,121,100,105,123,115,111,124,98,78,79,5,3,2,32,33,191])).
% 4.29/4.43 cnf(1339,plain,
% 4.29/4.43 (P5(f12(f25(f25(f25(x13391,x13392),f25(x13391,x13392)),f25(f25(x13391,x13392),f25(f25(x13391,x13392),f25(x13391,x13392))))),f25(f12(f25(f25(f25(x13391,x13392),f25(x13391,x13392)),f25(f25(x13391,x13392),f25(f25(x13391,x13392),f25(x13391,x13392))))),f24(f25(f25(f25(x13391,x13392),f25(x13391,x13392)),f25(f25(x13391,x13392),f25(f25(x13391,x13392),f25(x13391,x13392)))))))),
% 4.29/4.43 inference(scs_inference,[],[219,209,60,74,68,201,56,1293,1307,1039,1023,1224,1227,1250,1277,848,1123,347,1269,1267,223,256,698,453,758,1189,754,119,101,110,102,9,155,154,121,100,105,123,115,111,124,98,78,79,5,3,2,32,33,191,118,184,171])).
% 4.29/4.43 cnf(1341,plain,
% 4.29/4.43 (~P1(f25(a19,a19))),
% 4.29/4.43 inference(scs_inference,[],[219,209,60,74,68,201,56,1293,1307,1039,1023,1224,1227,1250,1277,848,1123,347,666,1269,1267,223,256,698,453,758,1189,754,119,101,110,102,9,155,154,121,100,105,123,115,111,124,98,78,79,5,3,2,32,33,191,118,184,171,81])).
% 4.29/4.43 cnf(1343,plain,
% 4.29/4.43 (P5(f24(f25(f25(f25(x13431,x13432),f25(x13431,x13432)),f25(f25(x13431,x13432),f25(f25(x13431,x13432),f25(x13431,x13432))))),a19)),
% 4.29/4.43 inference(scs_inference,[],[219,209,60,74,68,201,56,1293,1307,1039,1023,1224,1227,1250,1277,848,1123,347,666,1269,1267,223,256,698,453,758,1189,754,119,101,110,102,9,155,154,121,100,105,123,115,111,124,98,78,79,5,3,2,32,33,191,118,184,171,81,158])).
% 4.29/4.43 cnf(1356,plain,
% 4.29/4.43 (E(f24(f25(f25(f25(x13561,f25(x13562,x13562)),f25(x13561,f25(x13562,x13562))),f25(f25(x13561,f25(x13562,x13562)),f25(f25(x13561,f25(x13562,x13562)),f25(x13561,f25(x13562,x13562)))))),f25(x13561,f25(x13562,x13562)))),
% 4.29/4.43 inference(scs_inference,[],[219,209,207,60,74,68,201,56,1293,1307,1039,1023,1224,1227,1250,1277,848,1123,347,666,1269,1267,483,223,1215,256,1151,698,453,758,1189,754,119,101,110,102,9,155,154,121,100,105,123,115,111,124,98,78,79,5,3,2,32,33,191,118,184,171,81,158,117,113,166,165,164,1280])).
% 4.29/4.43 cnf(1383,plain,
% 4.29/4.44 (~E(f25(f25(f25(f25(f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832))),f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832)))),f25(f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832))),f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832))))),f25(f25(f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832))),f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832)))),f25(x13833,x13833))),f25(f25(f25(f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832))),f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832)))),f25(f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832))),f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832))))),f25(f25(f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832))),f25(f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(f25(x13831,x13831),f25(x13831,f25(a26,a26)))),f25(f25(f25(x13831,x13831),f25(x13831,f25(a26,a26))),f25(x13832,x13832)))),f25(x13833,x13833)))),f25(f25(f25(f25(f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835))),f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835)))),f25(f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835))),f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835))))),f25(f25(f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835))),f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835)))),f25(x13836,x13836))),f25(f25(f25(f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835))),f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835)))),f25(f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835))),f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835))))),f25(f25(f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835))),f25(f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(f25(x13834,x13834),f25(x13834,f25(a4,a4)))),f25(f25(f25(x13834,x13834),f25(x13834,f25(a4,a4))),f25(x13835,x13835)))),f25(x13836,x13836)))))),
% 4.29/4.44 inference(scs_inference,[],[207,56,714,1333,170,118,113])).
% 4.29/4.44 cnf(1384,plain,
% 4.29/4.44 (P5(f25(x13841,x13842),a19)),
% 4.29/4.44 inference(rename_variables,[],[56])).
% 4.29/4.44 cnf(1386,plain,
% 4.29/4.44 (P5(f12(f25(f25(f25(x13861,x13862),f25(x13861,x13862)),f25(f25(x13861,x13862),f25(f25(x13861,x13862),f25(x13861,x13862))))),a19)),
% 4.29/4.44 inference(scs_inference,[],[207,56,714,1333,170,118,113,165])).
% 4.29/4.44 cnf(1398,plain,
% 4.29/4.44 (~E(f25(f25(x13981,x13981),f25(x13981,f25(f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))))))),f25(f25(x13982,x13982),f25(x13982,f25(f25(f25(f25(f25(x13983,x13983),f25(x13983,f25(a4,a4))),f25(f25(x13983,x13983),f25(x13983,f25(a4,a4)))),f25(f25(f25(x13983,x13983),f25(x13983,f25(a4,a4))),f25(x13984,x13984))),f25(f25(f25(f25(x13983,x13983),f25(x13983,f25(a4,a4))),f25(f25(x13983,x13983),f25(x13983,f25(a4,a4)))),f25(f25(f25(x13983,x13983),f25(x13983,f25(a4,a4))),f25(x13984,x13984)))))))),
% 4.29/4.44 inference(scs_inference,[],[73,207,52,56,1384,714,1333,659,1292,1343,842,746,170,118,113,165,117,110,102,9,154])).
% 4.29/4.44 cnf(1399,plain,
% 4.29/4.44 (P5(f25(x13991,x13992),a19)),
% 4.29/4.44 inference(rename_variables,[],[56])).
% 4.29/4.44 cnf(1401,plain,
% 4.29/4.44 (P5(f16(f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(f25(a4,a4),f25(a4,a4)))),f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4)))),f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(f25(a4,a4),f25(a4,a4)))))),
% 4.29/4.44 inference(scs_inference,[],[73,207,52,56,1384,1238,714,1333,659,1292,1343,842,746,170,118,113,165,117,110,102,9,154,100])).
% 4.29/4.44 cnf(1404,plain,
% 4.29/4.44 (~P6(f25(a4,x14041),f10(f8(x14042),x14042))),
% 4.29/4.44 inference(rename_variables,[],[1246])).
% 4.29/4.44 cnf(1406,plain,
% 4.29/4.44 (~E(f25(f25(f25(f25(f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062))),f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062)))),f25(f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062))),f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062))))),f25(f25(f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062))),f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062)))),f25(f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062))),f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062)))))),f25(f25(f25(f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062))),f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062)))),f25(f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062))),f25(f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(f25(x14061,x14061),f25(x14061,f25(a26,a26)))),f25(f25(f25(x14061,x14061),f25(x14061,f25(a26,a26))),f25(x14062,x14062))))),f25(x14063,x14063))),f25(f25(f25(f25(f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065))),f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065)))),f25(f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065))),f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065))))),f25(f25(f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065))),f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065)))),f25(f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065))),f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065)))))),f25(f25(f25(f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065))),f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065)))),f25(f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065))),f25(f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(f25(x14064,x14064),f25(x14064,f25(a4,a4)))),f25(f25(f25(x14064,x14064),f25(x14064,f25(a4,a4))),f25(x14065,x14065))))),f25(x14066,x14066))))),
% 4.29/4.44 inference(scs_inference,[],[73,207,52,61,56,1384,1399,1238,714,703,1333,659,1292,1246,1343,842,746,170,118,113,165,117,110,102,9,154,100,38,155])).
% 4.29/4.44 cnf(1416,plain,
% 4.29/4.44 (E(a4,f10(x14161,a4))),
% 4.29/4.44 inference(scs_inference,[],[62,50,73,207,52,61,56,1384,1399,1238,1242,1260,714,703,1333,659,1292,1246,1303,1343,842,746,536,170,118,113,165,117,110,102,9,154,100,38,155,105,123,115,98])).
% 4.29/4.44 cnf(1425,plain,
% 4.29/4.44 (~E(f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(f25(a4,a4),f25(a4,a4)))),f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4))))),
% 4.29/4.44 inference(scs_inference,[],[62,50,73,207,52,61,56,1384,1399,1238,1242,1260,714,703,1333,659,1292,1246,1404,1303,1343,842,746,536,879,170,118,113,165,117,110,102,9,154,100,38,155,105,123,115,98,124,78,79])).
% 4.29/4.44 cnf(1427,plain,
% 4.29/4.44 (~E(f25(a26,a26),f25(a4,a4))),
% 4.29/4.44 inference(scs_inference,[],[62,50,73,207,52,61,56,1384,1399,1238,1242,1260,714,703,1333,659,640,1292,1246,1404,1303,1343,842,746,536,879,170,118,113,165,117,110,102,9,154,100,38,155,105,123,115,98,124,78,79,5])).
% 4.29/4.44 cnf(1428,plain,
% 4.29/4.44 (~E(f25(f25(f25(f25(f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(f25(x14281,x14281),f25(x14281,f25(a4,a4)))),f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(x14282,x14282))),f25(f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(f25(x14281,x14281),f25(x14281,f25(a4,a4)))),f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(x14282,x14282)))),f25(f25(f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(f25(x14281,x14281),f25(x14281,f25(a4,a4)))),f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(x14282,x14282))),f25(f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(f25(x14281,x14281),f25(x14281,f25(a4,a4)))),f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(x14282,x14282))))),f25(f25(f25(f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(f25(x14281,x14281),f25(x14281,f25(a4,a4)))),f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(x14282,x14282))),f25(f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(f25(x14281,x14281),f25(x14281,f25(a4,a4)))),f25(f25(f25(x14281,x14281),f25(x14281,f25(a4,a4))),f25(x14282,x14282)))),f25(x14283,x14283))),f25(f25(f25(f25(f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(f25(x14284,x14284),f25(x14284,f25(a26,a26)))),f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(x14285,x14285))),f25(f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(f25(x14284,x14284),f25(x14284,f25(a26,a26)))),f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(x14285,x14285)))),f25(f25(f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(f25(x14284,x14284),f25(x14284,f25(a26,a26)))),f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(x14285,x14285))),f25(f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(f25(x14284,x14284),f25(x14284,f25(a26,a26)))),f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(x14285,x14285))))),f25(f25(f25(f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(f25(x14284,x14284),f25(x14284,f25(a26,a26)))),f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(x14285,x14285))),f25(f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(f25(x14284,x14284),f25(x14284,f25(a26,a26)))),f25(f25(f25(x14284,x14284),f25(x14284,f25(a26,a26))),f25(x14285,x14285)))),f25(x14286,x14286))))),
% 4.29/4.44 inference(scs_inference,[],[62,50,73,207,52,61,56,1384,1399,1238,1242,1260,714,703,1333,659,640,1292,1246,1404,1303,1343,842,746,536,879,170,118,113,165,117,110,102,9,154,100,38,155,105,123,115,98,124,78,79,5,2])).
% 4.29/4.44 cnf(1431,plain,
% 4.29/4.44 (P5(f12(f25(f25(f25(x14311,x14312),f25(x14311,x14312)),f25(f25(x14311,x14312),f25(f25(x14311,x14312),f25(x14311,x14312))))),f25(f24(f25(f25(f25(x14311,x14312),f25(x14311,x14312)),f25(f25(x14311,x14312),f25(f25(x14311,x14312),f25(x14311,x14312))))),f12(f25(f25(f25(x14311,x14312),f25(x14311,x14312)),f25(f25(x14311,x14312),f25(f25(x14311,x14312),f25(x14311,x14312)))))))),
% 4.29/4.44 inference(scs_inference,[],[62,50,73,207,52,61,201,56,1384,1399,1238,1242,1260,1339,714,703,1333,659,640,1292,548,1246,1404,1303,1328,1343,378,842,746,536,879,170,118,113,165,117,110,102,9,154,100,38,155,105,123,115,98,124,78,79,5,2,3,32,33])).
% 4.29/4.44 cnf(1456,plain,
% 4.29/4.44 (P5(f16(f25(a4,a4),f25(a26,a26)),f25(a4,a4))),
% 4.29/4.44 inference(scs_inference,[],[212,1300,1427,1386,486,46,182,165,110,122])).
% 4.29/4.44 cnf(1459,plain,
% 4.29/4.44 (P5(f25(f25(f8(f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14591,x14591)))),f8(f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14591,x14591))))),f25(f8(f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14591,x14591)))),f8(f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14591,x14591)))))),f8(f25(f25(f25(f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14592,x14592))),f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14592,x14592)))),f25(f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14592,x14592))),f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14592,x14592))))),f25(f25(f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14592,x14592))),f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14592,x14592)))),f25(f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14592,x14592))),f25(f25(f25(x14591,x14591),f25(x14591,x14591)),f25(f25(x14591,x14591),f25(x14592,x14592))))))))),
% 4.29/4.44 inference(scs_inference,[],[212,56,1104,1300,1427,1386,486,46,182,165,110,122,102])).
% 4.29/4.44 cnf(1460,plain,
% 4.29/4.44 (P5(f25(x14601,x14602),a19)),
% 4.29/4.44 inference(rename_variables,[],[56])).
% 4.29/4.44 cnf(1471,plain,
% 4.29/4.44 (~P6(f25(f25(f25(f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))))),f25(f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))))),f25(f25(f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))))),f25(f25(f25(f25(f25(x14711,x14711),f25(x14711,f25(a4,a4))),f25(f25(x14711,x14711),f25(x14711,f25(a4,a4)))),f25(f25(f25(x14711,x14711),f25(x14711,f25(a4,a4))),f25(x14712,x14712))),f25(f25(f25(f25(x14711,x14711),f25(x14711,f25(a4,a4))),f25(f25(x14711,x14711),f25(x14711,f25(a4,a4)))),f25(f25(f25(x14711,x14711),f25(x14711,f25(a4,a4))),f25(x14712,x14712)))))),f25(f25(f25(f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))))),f25(f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))))),f25(f25(f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))))),f25(f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),f25(f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))),f25(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26)))))))))),
% 4.29/4.44 inference(scs_inference,[],[54,60,212,56,1460,1104,1300,1401,1427,1398,1386,296,486,46,182,165,110,122,102,123,105,111,124,98])).
% 4.29/4.44 cnf(1479,plain,
% 4.29/4.44 (~P6(f8(f10(f8(f25(f25(a4,a4),f25(a4,a4))),f8(f25(f25(a4,a4),f25(a4,a4))))),f25(a4,a4))),
% 4.29/4.44 inference(scs_inference,[],[54,60,212,68,56,1460,1104,1356,1300,1401,1427,1398,1386,296,486,46,182,165,110,122,102,123,105,111,124,98,78,79,37])).
% 4.29/4.44 cnf(1483,plain,
% 4.29/4.44 (~E(f8(f10(f8(f25(a4,a4)),f8(f25(a4,a4)))),f10(f6(x14831,x14832),f8(f6(x14831,x14832))))),
% 4.29/4.44 inference(scs_inference,[],[54,60,212,197,68,61,56,1460,1104,1356,1244,1300,1401,1427,1398,1386,296,486,46,182,165,110,122,102,123,105,111,124,98,78,79,37,5,2,3])).
% 4.29/4.44 cnf(1494,plain,
% 4.29/4.44 (~E(f25(f12(f25(f25(f25(x14941,x14942),f25(x14941,x14942)),f25(f25(x14941,x14942),f25(f25(x14941,x14942),f25(x14941,x14942))))),x14943),a4)),
% 4.29/4.44 inference(scs_inference,[],[54,73,60,209,212,197,68,61,56,1460,1104,1356,1244,1300,1401,1427,1431,1398,1386,1143,296,486,538,46,182,165,110,122,102,123,105,111,124,98,78,79,37,5,2,3,32,33,156,180,96])).
% 4.29/4.44 cnf(1514,plain,
% 4.29/4.44 (P5(f14(f25(f12(f25(f25(f25(x15141,x15142),f25(x15141,x15142)),f25(f25(x15141,x15142),f25(f25(x15141,x15142),f25(x15141,x15142))))),f12(f25(f25(f25(x15141,x15142),f25(x15141,x15142)),f25(f25(x15141,x15142),f25(f25(x15141,x15142),f25(x15141,x15142))))))),a19)),
% 4.29/4.44 inference(scs_inference,[],[54,73,60,209,212,197,68,61,56,1460,1104,1356,1244,1300,1401,1427,1431,1398,1386,1143,1149,296,486,538,1333,46,182,165,110,122,102,123,105,111,124,98,78,79,37,5,2,3,32,33,156,180,96,106,175,107,186,95,83,176,99,139,128])).
% 4.29/4.44 cnf(1518,plain,
% 4.29/4.44 (E(f25(f14(f25(f12(f25(f25(f25(x15181,x15182),f25(x15181,x15182)),f25(f25(x15181,x15182),f25(f25(x15181,x15182),f25(x15181,x15182))))),f12(f25(f25(f25(x15181,x15182),f25(x15181,x15182)),f25(f25(x15181,x15182),f25(f25(x15181,x15182),f25(x15181,x15182))))))),f14(f25(f12(f25(f25(f25(x15181,x15182),f25(x15181,x15182)),f25(f25(x15181,x15182),f25(f25(x15181,x15182),f25(x15181,x15182))))),f12(f25(f25(f25(x15181,x15182),f25(x15181,x15182)),f25(f25(x15181,x15182),f25(f25(x15181,x15182),f25(x15181,x15182)))))))),f25(f12(f25(f25(f25(x15181,x15182),f25(x15181,x15182)),f25(f25(x15181,x15182),f25(f25(x15181,x15182),f25(x15181,x15182))))),f12(f25(f25(f25(x15181,x15182),f25(x15181,x15182)),f25(f25(x15181,x15182),f25(f25(x15181,x15182),f25(x15181,x15182)))))))),
% 4.29/4.44 inference(scs_inference,[],[54,73,60,209,212,197,68,61,56,1460,1104,1356,1244,1300,1401,1427,1431,1398,1386,1143,1149,296,486,538,1333,46,182,165,110,122,102,123,105,111,124,98,78,79,37,5,2,3,32,33,156,180,96,106,175,107,186,95,83,176,99,139,128,187,136])).
% 4.29/4.44 cnf(1549,plain,
% 4.29/4.44 (P5(f22(f25(x15491,a1)),f25(x15491,a1))),
% 4.29/4.44 inference(scs_inference,[],[54,73,60,209,212,197,68,61,56,1460,1104,1356,1244,1300,1401,1427,1431,1398,1386,1143,1149,296,486,538,1333,46,182,165,110,122,102,123,105,111,124,98,78,79,37,5,2,3,32,33,156,180,96,106,175,107,186,95,83,176,99,139,128,187,136,82,13,25,18,188,4,26,21,17,23,16,15,12,7,90,29,28,27,22,24,20,19,11,10,8,14,84])).
% 4.29/4.44 cnf(1557,plain,
% 4.29/4.44 (~P6(f25(x15571,f25(a4,a4)),f25(a4,a4))),
% 4.29/4.44 inference(scs_inference,[],[54,59,73,60,209,212,197,68,61,56,1460,1104,1356,1244,1300,1401,1427,1431,1398,1386,1262,1143,1149,459,296,302,486,538,1333,1189,453,46,182,165,110,122,102,123,105,111,124,98,78,79,37,5,2,3,32,33,156,180,96,106,175,107,186,95,83,176,99,139,128,187,136,82,13,25,18,188,4,26,21,17,23,16,15,12,7,90,29,28,27,22,24,20,19,11,10,8,14,84,149,114,116,104])).
% 4.29/4.44 cnf(1560,plain,
% 4.29/4.44 (P5(f16(f25(f25(a4,a4),f25(a4,a4)),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4)))),
% 4.29/4.44 inference(scs_inference,[],[54,59,73,60,209,212,197,68,61,56,1460,1104,1356,1244,1300,1401,1427,1431,1398,1386,1262,1143,1149,459,296,302,486,538,1333,1189,453,46,182,165,110,122,102,123,105,111,124,98,78,79,37,5,2,3,32,33,156,180,96,106,175,107,186,95,83,176,99,139,128,187,136,82,13,25,18,188,4,26,21,17,23,16,15,12,7,90,29,28,27,22,24,20,19,11,10,8,14,84,149,114,116,104,100])).
% 4.29/4.44 cnf(1566,plain,
% 4.29/4.44 (E(f16(f25(f25(a4,a4),f25(a4,a4)),f25(a4,a4)),f25(a4,a4))),
% 4.29/4.44 inference(scs_inference,[],[54,59,73,60,209,212,197,68,61,56,1460,1104,1356,1244,1300,1401,1427,1431,1398,1386,1262,1143,1149,459,1343,296,302,486,538,1333,1189,453,46,182,165,110,122,102,123,105,111,124,98,78,79,37,5,2,3,32,33,156,180,96,106,175,107,186,95,83,176,99,139,128,187,136,82,13,25,18,188,4,26,21,17,23,16,15,12,7,90,29,28,27,22,24,20,19,11,10,8,14,84,149,114,116,104,100,155,154,115])).
% 4.29/4.44 cnf(1583,plain,
% 4.29/4.44 (P5(f25(x15831,x15832),a19)),
% 4.29/4.44 inference(rename_variables,[],[56])).
% 4.29/4.44 cnf(1585,plain,
% 4.29/4.44 (~E(f25(f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(f25(a4,a4),f25(a4,a4)))),f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(f25(a4,a4),f25(a4,a4))))),f25(f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4))),f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4)))))),
% 4.29/4.44 inference(scs_inference,[],[56,1583,1428,1425,114,116])).
% 4.29/4.44 cnf(1586,plain,
% 4.29/4.44 (P5(f25(x15861,x15862),a19)),
% 4.29/4.44 inference(rename_variables,[],[56])).
% 4.29/4.44 cnf(1603,plain,
% 4.29/4.44 (E(f8(f10(f8(f25(x16031,x16031)),f8(f25(x16032,x16032)))),f25(x16031,x16032))),
% 4.29/4.44 inference(rename_variables,[],[68])).
% 4.29/4.44 cnf(1624,plain,
% 4.29/4.44 (~P5(x16241,f9(f8(f6(f25(x16241,x16241),a19))))),
% 4.29/4.44 inference(rename_variables,[],[207])).
% 4.29/4.44 cnf(1631,plain,
% 4.29/4.44 (E(f9(f8(f10(f8(f25(x16311,x16311)),f8(f25(x16312,x16312))))),f9(f25(x16311,x16312)))),
% 4.29/4.44 inference(scs_inference,[],[50,221,51,73,207,1624,52,68,1603,56,1583,1586,1459,1383,1406,1518,1428,1425,1479,1483,1560,1341,1416,695,459,754,453,114,116,110,104,155,121,154,111,30,105,115,98,124,78,79,37,5,2,32,3,33,120,31,6])).
% 4.29/4.44 cnf(1658,plain,
% 4.29/4.44 (P5(f25(x16581,x16582),a19)),
% 4.29/4.44 inference(rename_variables,[],[56])).
% 4.29/4.44 cnf(1661,plain,
% 4.29/4.44 (P6(x16611,x16611)),
% 4.29/4.44 inference(rename_variables,[],[51])).
% 4.29/4.44 cnf(1667,plain,
% 4.29/4.44 (P5(f25(x16671,x16672),a19)),
% 4.29/4.44 inference(rename_variables,[],[56])).
% 4.29/4.44 cnf(1696,plain,
% 4.29/4.44 ($false),
% 4.29/4.44 inference(scs_inference,[],[51,1661,223,204,73,74,61,52,56,1658,1667,1557,1566,1585,1631,1471,550,1249,1494,1456,1514,1549,376,1251,752,435,479,118,101,90,84,116,38,102,9,155,121,100,154,111,115,98,78,124,79,37,5,2,32]),
% 4.29/4.44 ['proof']).
% 4.29/4.44 % SZS output end Proof
% 4.29/4.44 % Total time :3.740000s
%------------------------------------------------------------------------------