TSTP Solution File: SET103-7 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET103-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 14:28:45 EDT 2023
% Result : Unsatisfiable 1.00s 1.07s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET103-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 16:19:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 0.92/1.05 %-------------------------------------------
% 0.92/1.05 % File :CSE---1.6
% 0.92/1.05 % Problem :theBenchmark
% 0.92/1.05 % Transform :cnf
% 0.92/1.05 % Format :tptp:raw
% 0.92/1.05 % Command :java -jar mcs_scs.jar %d %s
% 0.92/1.05
% 0.92/1.05 % Result :Theorem 0.400000s
% 0.92/1.05 % Output :CNFRefutation 0.400000s
% 0.92/1.05 %-------------------------------------------
% 0.92/1.05 %--------------------------------------------------------------------------
% 0.92/1.05 % File : SET103-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.92/1.05 % Domain : Set Theory
% 0.92/1.05 % Problem : Special member 1 of an ordered pair
% 0.92/1.05 % Version : [Qua92] axioms : Augmented.
% 0.92/1.05 % English :
% 0.92/1.05
% 0.92/1.05 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.92/1.05 % Source : [Quaife]
% 0.92/1.05 % Names : OP3.1 [Qua92]
% 0.92/1.05
% 0.92/1.05 % Status : Unsatisfiable
% 0.92/1.05 % Rating : 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.40 v6.4.0, 0.33 v6.3.0, 0.36 v6.2.0, 0.50 v6.1.0, 0.43 v6.0.0, 0.50 v5.5.0, 0.55 v5.4.0, 0.50 v5.2.0, 0.38 v5.1.0, 0.35 v5.0.0, 0.29 v4.1.0, 0.38 v4.0.1, 0.45 v3.7.0, 0.30 v3.5.0, 0.36 v3.4.0, 0.33 v3.3.0, 0.29 v3.2.0, 0.31 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.22 v2.5.0, 0.27 v2.4.0, 0.25 v2.3.0, 0.12 v2.2.1, 0.50 v2.2.0, 0.33 v2.1.0
% 0.92/1.05 % Syntax : Number of clauses : 149 ( 46 unt; 25 nHn; 97 RR)
% 0.92/1.05 % Number of literals : 298 ( 88 equ; 130 neg)
% 0.92/1.05 % Maximal clause size : 5 ( 2 avg)
% 0.92/1.05 % Maximal term depth : 6 ( 1 avg)
% 0.92/1.05 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.92/1.05 % Number of functors : 42 ( 42 usr; 10 con; 0-3 aty)
% 0.92/1.05 % Number of variables : 279 ( 49 sgn)
% 0.92/1.05 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.92/1.05
% 0.92/1.05 % Comments : Preceding lemmas are added.
% 0.92/1.05 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.92/1.05 %--------------------------------------------------------------------------
% 0.92/1.05 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.92/1.05 include('Axioms/SET004-0.ax').
% 0.92/1.05 %--------------------------------------------------------------------------
% 0.92/1.05 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 0.92/1.05 cnf(corollary_1_to_unordered_pair,axiom,
% 0.92/1.05 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.92/1.05 | member(X,unordered_pair(X,Y)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(corollary_2_to_unordered_pair,axiom,
% 0.92/1.05 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.92/1.05 | member(Y,unordered_pair(X,Y)) ) ).
% 0.92/1.05
% 0.92/1.05 %----Corollaries to Cartesian product axiom.
% 0.92/1.05 cnf(corollary_1_to_cartesian_product,axiom,
% 0.92/1.05 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.99/1.05 | member(U,universal_class) ) ).
% 0.99/1.05
% 0.99/1.05 cnf(corollary_2_to_cartesian_product,axiom,
% 0.99/1.05 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.99/1.05 | member(V,universal_class) ) ).
% 0.99/1.05
% 0.99/1.06 %---- PARTIAL ORDER.
% 0.99/1.06 %----(PO1): reflexive.
% 0.99/1.06 cnf(subclass_is_reflexive,axiom,
% 0.99/1.06 subclass(X,X) ).
% 0.99/1.06
% 0.99/1.06 %----(PO2): antisymmetry is part of A-3.
% 0.99/1.06 %----(x < y), (y < x) --> (x = y).
% 0.99/1.06
% 0.99/1.06 %----(PO3): transitivity.
% 0.99/1.06 cnf(transitivity_of_subclass,axiom,
% 0.99/1.06 ( ~ subclass(X,Y)
% 0.99/1.06 | ~ subclass(Y,Z)
% 0.99/1.06 | subclass(X,Z) ) ).
% 0.99/1.06
% 0.99/1.06 %---- EQUALITY.
% 0.99/1.06 %----(EQ1): equality axiom.
% 0.99/1.06 %----a:x:(x = x).
% 0.99/1.06 %----This is always an axiom in the TPTP presentation.
% 0.99/1.06
% 0.99/1.06 %----(EQ2): expanded equality definition.
% 0.99/1.06 cnf(equality1,axiom,
% 0.99/1.06 ( X = Y
% 0.99/1.06 | member(not_subclass_element(X,Y),X)
% 0.99/1.06 | member(not_subclass_element(Y,X),Y) ) ).
% 0.99/1.06
% 0.99/1.06 cnf(equality2,axiom,
% 0.99/1.06 ( ~ member(not_subclass_element(X,Y),Y)
% 0.99/1.06 | X = Y
% 0.99/1.06 | member(not_subclass_element(Y,X),Y) ) ).
% 0.99/1.06
% 0.99/1.06 cnf(equality3,axiom,
% 0.99/1.06 ( ~ member(not_subclass_element(Y,X),X)
% 0.99/1.06 | X = Y
% 0.99/1.06 | member(not_subclass_element(X,Y),X) ) ).
% 0.99/1.06
% 0.99/1.06 cnf(equality4,axiom,
% 0.99/1.06 ( ~ member(not_subclass_element(X,Y),Y)
% 0.99/1.06 | ~ member(not_subclass_element(Y,X),X)
% 0.99/1.06 | X = Y ) ).
% 0.99/1.06
% 0.99/1.06 %---- SPECIAL CLASSES.
% 0.99/1.06 %----(SP1): lemma.
% 0.99/1.06 cnf(special_classes_lemma,axiom,
% 0.99/1.06 ~ member(Y,intersection(complement(X),X)) ).
% 0.99/1.06
% 0.99/1.06 %----(SP2): Existence of O (null class).
% 0.99/1.06 %----e:x:a:z:(-(z e x)).
% 0.99/1.06 cnf(existence_of_null_class,axiom,
% 0.99/1.06 ~ member(Z,null_class) ).
% 0.99/1.06
% 0.99/1.06 %----(SP3): O is a subclass of every class.
% 0.99/1.06 cnf(null_class_is_subclass,axiom,
% 0.99/1.06 subclass(null_class,X) ).
% 0.99/1.06
% 0.99/1.06 %----corollary.
% 0.99/1.06 cnf(corollary_of_null_class_is_subclass,axiom,
% 0.99/1.06 ( ~ subclass(X,null_class)
% 0.99/1.06 | X = null_class ) ).
% 0.99/1.06
% 0.99/1.06 %----(SP4): uniqueness of null class.
% 0.99/1.06 cnf(null_class_is_unique,axiom,
% 0.99/1.06 ( Z = null_class
% 0.99/1.06 | member(not_subclass_element(Z,null_class),Z) ) ).
% 0.99/1.06
% 0.99/1.06 %----(SP5): O is a set (follows from axiom of infinity).
% 0.99/1.06 cnf(null_class_is_a_set,axiom,
% 0.99/1.06 member(null_class,universal_class) ).
% 0.99/1.06
% 0.99/1.06 %---- UNORDERED PAIRS.
% 0.99/1.06 %----(UP1): unordered pair is commutative.
% 0.99/1.06 cnf(commutativity_of_unordered_pair,axiom,
% 0.99/1.06 unordered_pair(X,Y) = unordered_pair(Y,X) ).
% 0.99/1.06
% 0.99/1.06 %----(UP2): if one argument is a proper class, pair contains only the
% 0.99/1.06 %----other. In a slightly different form to the paper
% 0.99/1.06 cnf(singleton_in_unordered_pair1,axiom,
% 0.99/1.06 subclass(singleton(X),unordered_pair(X,Y)) ).
% 0.99/1.06
% 0.99/1.06 cnf(singleton_in_unordered_pair2,axiom,
% 0.99/1.06 subclass(singleton(Y),unordered_pair(X,Y)) ).
% 0.99/1.06
% 0.99/1.06 cnf(unordered_pair_equals_singleton1,axiom,
% 0.99/1.06 ( member(Y,universal_class)
% 0.99/1.06 | unordered_pair(X,Y) = singleton(X) ) ).
% 0.99/1.06
% 0.99/1.06 cnf(unordered_pair_equals_singleton2,axiom,
% 0.99/1.06 ( member(X,universal_class)
% 0.99/1.06 | unordered_pair(X,Y) = singleton(Y) ) ).
% 0.99/1.06
% 0.99/1.06 %----(UP3): if both arguments are proper classes, pair is null.
% 0.99/1.06 cnf(null_unordered_pair,axiom,
% 0.99/1.06 ( unordered_pair(X,Y) = null_class
% 0.99/1.06 | member(X,universal_class)
% 0.99/1.06 | member(Y,universal_class) ) ).
% 0.99/1.06
% 0.99/1.06 %----(UP4): left cancellation for unordered pairs.
% 0.99/1.06 cnf(left_cancellation,axiom,
% 0.99/1.06 ( unordered_pair(X,Y) != unordered_pair(X,Z)
% 0.99/1.06 | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 0.99/1.06 | Y = Z ) ).
% 0.99/1.06
% 0.99/1.06 %----(UP5): right cancellation for unordered pairs.
% 0.99/1.06 cnf(right_cancellation,axiom,
% 0.99/1.06 ( unordered_pair(X,Z) != unordered_pair(Y,Z)
% 0.99/1.06 | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
% 0.99/1.06 | X = Y ) ).
% 0.99/1.06
% 0.99/1.06 %----(UP6): corollary to (A-4).
% 0.99/1.06 cnf(corollary_to_unordered_pair_axiom1,axiom,
% 0.99/1.06 ( ~ member(X,universal_class)
% 0.99/1.06 | unordered_pair(X,Y) != null_class ) ).
% 0.99/1.06
% 0.99/1.06 cnf(corollary_to_unordered_pair_axiom2,axiom,
% 0.99/1.06 ( ~ member(Y,universal_class)
% 0.99/1.06 | unordered_pair(X,Y) != null_class ) ).
% 0.99/1.06
% 0.99/1.06 %----corollary to instantiate variables.
% 0.99/1.06 %----Not in the paper
% 0.99/1.06 cnf(corollary_to_unordered_pair_axiom3,axiom,
% 0.99/1.06 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.99/1.06 | unordered_pair(X,Y) != null_class ) ).
% 0.99/1.06
% 0.99/1.06 %----(UP7): if both members of a pair belong to a set, the pair
% 0.99/1.06 %----is a subset.
% 0.99/1.06 cnf(unordered_pair_is_subset,axiom,
% 0.99/1.06 ( ~ member(X,Z)
% 0.99/1.06 | ~ member(Y,Z)
% 0.99/1.06 | subclass(unordered_pair(X,Y),Z) ) ).
% 1.00/1.06
% 1.00/1.06 %---- SINGLETONS.
% 1.00/1.06 %----(SS1): every singleton is a set.
% 1.00/1.06 cnf(singletons_are_sets,axiom,
% 1.00/1.06 member(singleton(X),universal_class) ).
% 1.00/1.06
% 1.00/1.06 %----corollary, not in the paper.
% 1.00/1.06 cnf(corollary_1_to_singletons_are_sets,axiom,
% 1.00/1.06 member(singleton(Y),unordered_pair(X,singleton(Y))) ).
% 1.00/1.06
% 1.00/1.06 %----(SS2): a set belongs to its singleton.
% 1.00/1.06 %----(u = x), (u e universal_class) --> (u e {x}).
% 1.00/1.06 cnf(set_in_its_singleton,axiom,
% 1.00/1.06 ( ~ member(X,universal_class)
% 1.00/1.06 | member(X,singleton(X)) ) ).
% 1.00/1.06
% 1.00/1.06 %----corollary
% 1.00/1.06 cnf(corollary_to_set_in_its_singleton,axiom,
% 1.00/1.06 ( ~ member(X,universal_class)
% 1.00/1.06 | singleton(X) != null_class ) ).
% 1.00/1.06
% 1.00/1.06 %----Not in the paper
% 1.00/1.06 cnf(null_class_in_its_singleton,axiom,
% 1.00/1.06 member(null_class,singleton(null_class)) ).
% 1.00/1.06
% 1.00/1.06 %----(SS3): only x can belong to {x}.
% 1.00/1.06 cnf(only_member_in_singleton,axiom,
% 1.00/1.06 ( ~ member(Y,singleton(X))
% 1.00/1.06 | Y = X ) ).
% 1.00/1.06
% 1.00/1.06 %----(SS4): if x is not a set, {x} = O.
% 1.00/1.06 cnf(singleton_is_null_class,axiom,
% 1.00/1.06 ( member(X,universal_class)
% 1.00/1.06 | singleton(X) = null_class ) ).
% 1.00/1.06
% 1.00/1.06 %----(SS5): a singleton set is determined by its element.
% 1.00/1.06 cnf(singleton_identified_by_element1,axiom,
% 1.00/1.06 ( singleton(X) != singleton(Y)
% 1.00/1.06 | ~ member(X,universal_class)
% 1.00/1.06 | X = Y ) ).
% 1.00/1.06
% 1.00/1.06 cnf(singleton_identified_by_element2,axiom,
% 1.00/1.06 ( singleton(X) != singleton(Y)
% 1.00/1.06 | ~ member(Y,universal_class)
% 1.00/1.06 | X = Y ) ).
% 1.00/1.06
% 1.00/1.06 %----(SS5.5).
% 1.00/1.06 %----Not in the paper
% 1.00/1.06 cnf(singleton_in_unordered_pair3,axiom,
% 1.00/1.06 ( unordered_pair(Y,Z) != singleton(X)
% 1.00/1.06 | ~ member(X,universal_class)
% 1.00/1.06 | X = Y
% 1.00/1.06 | X = Z ) ).
% 1.00/1.06
% 1.00/1.06 %----(SS6): existence of memb.
% 1.00/1.06 %----a:x:e:u:(((u e universal_class) & x = {u}) | (-e:y:((y
% 1.00/1.06 %----e universal_class) & x = {y}) & u = x)).
% 1.00/1.06 cnf(member_exists1,axiom,
% 1.00/1.06 ( ~ member(Y,universal_class)
% 1.00/1.06 | member(member_of(singleton(Y)),universal_class) ) ).
% 1.00/1.06
% 1.00/1.06 cnf(member_exists2,axiom,
% 1.00/1.06 ( ~ member(Y,universal_class)
% 1.00/1.06 | singleton(member_of(singleton(Y))) = singleton(Y) ) ).
% 1.00/1.06
% 1.00/1.06 cnf(member_exists3,axiom,
% 1.00/1.06 ( member(member_of(X),universal_class)
% 1.00/1.06 | member_of(X) = X ) ).
% 1.00/1.06
% 1.00/1.06 cnf(member_exists4,axiom,
% 1.00/1.06 ( singleton(member_of(X)) = X
% 1.00/1.06 | member_of(X) = X ) ).
% 1.00/1.06
% 1.00/1.06 %----(SS7): uniqueness of memb of a singleton set.
% 1.00/1.06 %----a:x:a:u:(((u e universal_class) & x = {u}) ==> member_of(x) = u)
% 1.00/1.06 cnf(member_of_singleton_is_unique,axiom,
% 1.00/1.06 ( ~ member(U,universal_class)
% 1.00/1.06 | member_of(singleton(U)) = U ) ).
% 1.00/1.06
% 1.00/1.06 %----(SS8): uniqueness of memb when x is not a singleton of a set.
% 1.00/1.06 %----a:x:a:u:((e:y:((y e universal_class) & x = {y})
% 1.00/1.06 %----& u = x) | member_of(x) = u)
% 1.00/1.06 cnf(member_of_non_singleton_unique1,axiom,
% 1.00/1.06 ( member(member_of1(X),universal_class)
% 1.00/1.06 | member_of(X) = X ) ).
% 1.00/1.06
% 1.00/1.06 cnf(member_of_non_singleton_unique2,axiom,
% 1.00/1.06 ( singleton(member_of1(X)) = X
% 1.00/1.06 | member_of(X) = X ) ).
% 1.00/1.06
% 1.00/1.06 %----(SS9): corollary to (SS1).
% 1.00/1.06 cnf(corollary_2_to_singletons_are_sets,axiom,
% 1.00/1.06 ( singleton(member_of(X)) != X
% 1.00/1.06 | member(X,universal_class) ) ).
% 1.00/1.06
% 1.00/1.06 %----(SS10).
% 1.00/1.06 cnf(property_of_singletons1,axiom,
% 1.00/1.06 ( singleton(member_of(X)) != X
% 1.00/1.06 | ~ member(Y,X)
% 1.00/1.06 | member_of(X) = Y ) ).
% 1.00/1.06
% 1.00/1.06 %----(SS11).
% 1.00/1.06 cnf(property_of_singletons2,axiom,
% 1.00/1.06 ( ~ member(X,Y)
% 1.00/1.07 | subclass(singleton(X),Y) ) ).
% 1.00/1.07
% 1.00/1.07 %----(SS12): there are at most two subsets of a singleton.
% 1.00/1.07 cnf(two_subsets_of_singleton,axiom,
% 1.00/1.07 ( ~ subclass(X,singleton(Y))
% 1.00/1.07 | X = null_class
% 1.00/1.07 | singleton(Y) = X ) ).
% 1.00/1.07
% 1.00/1.07 %----(SS13): a class contains 0, 1, or at least 2 members.
% 1.00/1.07 cnf(number_of_elements_in_class,axiom,
% 1.00/1.07 ( 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))
% 1.00/1.07 | singleton(not_subclass_element(X,null_class)) = X
% 1.00/1.07 | X = null_class ) ).
% 1.00/1.07
% 1.00/1.07 %----corollaries.
% 1.00/1.07 cnf(corollary_2_to_number_of_elements_in_class,axiom,
% 1.00/1.07 ( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X,null_class))),X),null_class),X)
% 1.00/1.07 | singleton(not_subclass_element(X,null_class)) = X
% 1.00/1.07 | X = null_class ) ).
% 1.00/1.07
% 1.00/1.07 cnf(corollary_1_to_number_of_elements_in_class,axiom,
% 1.00/1.07 ( not_subclass_element(intersection(complement(singleton(not_subclass_element(X,null_class))),X),null_class) != not_subclass_element(X,null_class)
% 1.00/1.07 | singleton(not_subclass_element(X,null_class)) = X
% 1.00/1.07 | X = null_class ) ).
% 1.00/1.07
% 1.00/1.07 %----(SS14): relation to ordered pair.
% 1.00/1.07 %----It looks like we could simplify Godel's axioms by taking singleton
% 1.00/1.07 %----as a primitive and using the next as a definition. Not in the paper
% 1.00/1.07 cnf(unordered_pairs_and_singletons,axiom,
% 1.00/1.07 unordered_pair(X,Y) = union(singleton(X),singleton(Y)) ).
% 1.00/1.07
% 1.00/1.07 %---- ORDERED PAIRS.
% 1.00/1.07 %----(OP1): an ordered pair is a set.
% 1.00/1.07 cnf(ordered_pair_is_set,axiom,
% 1.00/1.07 member(ordered_pair(X,Y),universal_class) ).
% 1.00/1.07
% 1.00/1.07 %----(OP2): members of ordered pair.
% 1.00/1.07 cnf(singleton_member_of_ordered_pair,axiom,
% 1.00/1.07 member(singleton(X),ordered_pair(X,Y)) ).
% 1.00/1.07
% 1.00/1.07 cnf(unordered_pair_member_of_ordered_pair,axiom,
% 1.00/1.07 member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)) ).
% 1.00/1.07
% 1.00/1.07 cnf(prove_property_1_of_ordered_pair_1,negated_conjecture,
% 1.00/1.07 unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y) ).
% 1.00/1.07
% 1.00/1.07 cnf(prove_property_1_of_ordered_pair_2,negated_conjecture,
% 1.00/1.07 ~ member(y,universal_class) ).
% 1.00/1.07
% 1.00/1.07 %--------------------------------------------------------------------------
% 1.00/1.07 %-------------------------------------------
% 1.00/1.07 % Proof found
% 1.00/1.07 % SZS status Theorem for theBenchmark
% 1.00/1.07 % SZS output start Proof
% 1.00/1.07 %ClaNum:178(EqnAxiom:44)
% 1.00/1.07 %VarNum:1002(SingletonVarNum:246)
% 1.00/1.07 %MaxLitNum:5
% 1.00/1.07 %MaxfuncDepth:24
% 1.00/1.07 %SharedTerms:42
% 1.00/1.07 %goalClause: 72 75
% 1.00/1.07 %singleGoalClaCount:2
% 1.00/1.07 [45]P1(a1)
% 1.00/1.07 [46]P2(a2)
% 1.00/1.07 [47]P5(a4,a19)
% 1.00/1.07 [48]P5(a1,a19)
% 1.00/1.07 [72]~P5(a26,a19)
% 1.00/1.07 [53]P6(a5,f6(a19,a19))
% 1.00/1.07 [54]P6(a20,f6(a19,a19))
% 1.00/1.07 [55]P5(a4,f25(a4,a4))
% 1.00/1.07 [75]~E(f25(f25(a27,a27),f25(a27,f25(a26,a26))),f25(f25(a27,a27),f25(a27,a4)))
% 1.00/1.07 [64]E(f10(f9(f11(f6(a23,a19))),a23),a13)
% 1.00/1.07 [70]E(f10(f6(a19,a19),f10(f6(a19,a19),f8(f7(f8(a5),f9(f11(f6(a5,a19))))))),a23)
% 1.00/1.07 [49]P6(x491,a19)
% 1.00/1.07 [50]P6(a4,x501)
% 1.00/1.07 [51]P6(x511,x511)
% 1.00/1.07 [73]~P5(x731,a4)
% 1.00/1.07 [62]P6(f21(x621),f6(f6(a19,a19),a19))
% 1.00/1.07 [63]P6(f11(x631),f6(f6(a19,a19),a19))
% 1.00/1.07 [71]E(f10(f9(x711),f8(f9(f10(f7(f9(f11(f6(a5,a19))),x711),a13)))),f3(x711))
% 1.00/1.07 [52]E(f25(x521,x522),f25(x522,x521))
% 1.00/1.07 [56]P5(f25(x561,x562),a19)
% 1.00/1.07 [58]P6(f7(x581,x582),f6(a19,a19))
% 1.00/1.07 [59]P6(f25(x591,x591),f25(x592,x591))
% 1.00/1.07 [60]P6(f25(x601,x601),f25(x601,x602))
% 1.00/1.07 [65]P5(f25(x651,x651),f25(x652,f25(x651,x651)))
% 1.00/1.07 [74]~P5(x741,f10(f8(x742),x742))
% 1.00/1.07 [67]P5(f25(x671,x671),f25(f25(x671,x671),f25(x671,f25(x672,x672))))
% 1.00/1.07 [69]P5(f25(x691,f25(x692,x692)),f25(f25(x691,x691),f25(x691,f25(x692,x692))))
% 1.00/1.07 [68]E(f8(f10(f8(f25(x681,x681)),f8(f25(x682,x682)))),f25(x681,x682))
% 1.00/1.07 [61]E(f10(f6(x611,x612),x613),f10(x613,f6(x611,x612)))
% 1.00/1.07 [76]~P7(x761)+P2(x761)
% 1.00/1.07 [77]~P8(x771)+P2(x771)
% 1.00/1.07 [80]~P1(x801)+P6(a1,x801)
% 1.00/1.07 [81]~P1(x811)+P5(a4,x811)
% 1.00/1.07 [82]~P6(x821,a4)+E(x821,a4)
% 1.00/1.07 [84]P5(f22(x841),x841)+E(x841,a4)
% 1.00/1.07 [85]E(f14(x851),x851)+P5(f14(x851),a19)
% 1.00/1.07 [86]E(f14(x861),x861)+P5(f15(x861),a19)
% 1.00/1.07 [87]P5(x871,a19)+E(f25(x871,x871),a4)
% 1.00/1.07 [90]E(x901,a4)+P5(f16(x901,a4),x901)
% 1.00/1.07 [94]~P2(x941)+P6(x941,f6(a19,a19))
% 1.00/1.07 [83]E(x831,a4)+E(f10(x831,f22(x831)),a4)
% 1.00/1.07 [88]E(f14(x881),x881)+E(f25(f14(x881),f14(x881)),x881)
% 1.00/1.07 [89]E(f14(x891),x891)+E(f25(f15(x891),f15(x891)),x891)
% 1.00/1.07 [99]~P5(x991,a19)+E(f14(f25(x991,x991)),x991)
% 1.00/1.07 [103]P5(x1031,a19)+~E(f25(f14(x1031),f14(x1031)),x1031)
% 1.00/1.07 [127]~P5(x1271,a19)+P5(f14(f25(x1271,x1271)),a19)
% 1.00/1.07 [109]~P8(x1091)+E(f6(f9(f9(x1091)),f9(f9(x1091))),f9(x1091))
% 1.00/1.07 [131]~P7(x1311)+P2(f9(f11(f6(x1311,a19))))
% 1.00/1.07 [135]~P5(x1351,a19)+E(f25(f14(f25(x1351,x1351)),f14(f25(x1351,x1351))),f25(x1351,x1351))
% 1.00/1.07 [137]~P5(x1371,a19)+P5(f9(f10(a5,f6(a19,x1371))),a19)
% 1.00/1.07 [139]~P9(x1391)+P6(f7(x1391,f9(f11(f6(x1391,a19)))),a13)
% 1.00/1.07 [140]~P2(x1401)+P6(f7(x1401,f9(f11(f6(x1401,a19)))),a13)
% 1.00/1.07 [141]~P8(x1411)+P6(f9(f9(f11(f6(x1411,a19)))),f9(f9(x1411)))
% 1.00/1.07 [146]P9(x1461)+~P6(f7(x1461,f9(f11(f6(x1461,a19)))),a13)
% 1.00/1.07 [164]~P1(x1641)+P6(f9(f9(f11(f6(f10(a20,f6(x1641,a19)),a19)))),x1641)
% 1.00/1.07 [169]~P5(x1691,a19)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1691),a19)),a19))))),a19)
% 1.00/1.07 [78]~E(x782,x781)+P6(x781,x782)
% 1.00/1.07 [79]~E(x791,x792)+P6(x791,x792)
% 1.00/1.07 [92]P5(x922,a19)+E(f25(x921,x922),f25(x921,x921))
% 1.00/1.07 [93]P5(x931,a19)+E(f25(x931,x932),f25(x932,x932))
% 1.00/1.07 [95]~P5(x952,a19)+~E(f25(x951,x952),a4)
% 1.00/1.07 [96]~P5(x961,a19)+~E(f25(x961,x962),a4)
% 1.00/1.07 [100]P6(x1001,x1002)+P5(f16(x1001,x1002),x1001)
% 1.00/1.07 [101]~P5(x1011,x1012)+~P5(x1011,f8(x1012))
% 1.00/1.07 [106]~P5(x1061,a19)+P5(x1061,f25(x1062,x1061))
% 1.00/1.07 [107]~P5(x1071,a19)+P5(x1071,f25(x1071,x1072))
% 1.00/1.07 [110]~P5(x1101,x1102)+P6(f25(x1101,x1101),x1102)
% 1.00/1.07 [111]E(x1111,x1112)+~P5(x1111,f25(x1112,x1112))
% 1.00/1.07 [119]P6(x1191,x1192)+~P5(f16(x1191,x1192),x1192)
% 1.00/1.07 [136]~P5(x1362,f9(x1361))+~E(f10(x1361,f6(f25(x1362,x1362),a19)),a4)
% 1.00/1.07 [145]P5(x1451,x1452)+~P5(f25(f25(x1451,x1451),f25(x1451,f25(x1452,x1452))),a5)
% 1.00/1.07 [159]~P5(f25(f25(x1591,x1591),f25(x1591,f25(x1592,x1592))),a20)+E(f8(f10(f8(x1591),f8(f25(x1591,x1591)))),x1592)
% 1.00/1.07 [124]P2(x1241)+~P3(x1241,x1242,x1243)
% 1.00/1.07 [125]P8(x1251)+~P4(x1252,x1253,x1251)
% 1.00/1.07 [126]P8(x1261)+~P4(x1262,x1261,x1263)
% 1.00/1.07 [134]~P4(x1341,x1342,x1343)+P3(x1341,x1342,x1343)
% 1.00/1.07 [117]P5(x1171,x1172)+~P5(x1171,f10(x1173,x1172))
% 1.00/1.07 [118]P5(x1181,x1182)+~P5(x1181,f10(x1182,x1183))
% 1.00/1.07 [128]~P3(x1282,x1281,x1283)+E(f9(f9(x1281)),f9(x1282))
% 1.00/1.07 [142]~P5(x1421,f6(x1422,x1423))+E(f25(f25(f12(x1421),f12(x1421)),f25(f12(x1421),f25(f24(x1421),f24(x1421)))),x1421)
% 1.00/1.07 [144]~P3(x1441,x1443,x1442)+P6(f9(f9(f11(f6(x1441,a19)))),f9(f9(x1442)))
% 1.00/1.07 [147]P5(x1471,a19)+~P5(f25(f25(x1472,x1472),f25(x1472,f25(x1471,x1471))),f6(x1473,x1474))
% 1.00/1.07 [148]P5(x1481,a19)+~P5(f25(f25(x1481,x1481),f25(x1481,f25(x1482,x1482))),f6(x1483,x1484))
% 1.00/1.07 [149]P5(x1491,x1492)+~P5(f25(f25(x1493,x1493),f25(x1493,f25(x1491,x1491))),f6(x1494,x1492))
% 1.00/1.07 [150]P5(x1501,x1502)+~P5(f25(f25(x1501,x1501),f25(x1501,f25(x1503,x1503))),f6(x1502,x1504))
% 1.00/1.07 [151]~E(f25(x1511,x1512),a4)+~P5(f25(f25(x1511,x1511),f25(x1511,f25(x1512,x1512))),f6(x1513,x1514))
% 1.00/1.07 [155]P5(x1551,f25(x1552,x1551))+~P5(f25(f25(x1552,x1552),f25(x1552,f25(x1551,x1551))),f6(x1553,x1554))
% 1.00/1.07 [156]P5(x1561,f25(x1561,x1562))+~P5(f25(f25(x1561,x1561),f25(x1561,f25(x1562,x1562))),f6(x1563,x1564))
% 1.00/1.07 [170]~P5(f25(f25(f25(f25(x1703,x1703),f25(x1703,f25(x1701,x1701))),f25(f25(x1703,x1703),f25(x1703,f25(x1701,x1701)))),f25(f25(f25(x1703,x1703),f25(x1703,f25(x1701,x1701))),f25(x1702,x1702))),f21(x1704))+P5(f25(f25(f25(f25(x1701,x1701),f25(x1701,f25(x1702,x1702))),f25(f25(x1701,x1701),f25(x1701,f25(x1702,x1702)))),f25(f25(f25(x1701,x1701),f25(x1701,f25(x1702,x1702))),f25(x1703,x1703))),x1704)
% 1.00/1.07 [171]~P5(f25(f25(f25(f25(x1712,x1712),f25(x1712,f25(x1711,x1711))),f25(f25(x1712,x1712),f25(x1712,f25(x1711,x1711)))),f25(f25(f25(x1712,x1712),f25(x1712,f25(x1711,x1711))),f25(x1713,x1713))),f11(x1714))+P5(f25(f25(f25(f25(x1711,x1711),f25(x1711,f25(x1712,x1712))),f25(f25(x1711,x1711),f25(x1711,f25(x1712,x1712)))),f25(f25(f25(x1711,x1711),f25(x1711,f25(x1712,x1712))),f25(x1713,x1713))),x1714)
% 1.00/1.07 [175]~P5(f25(f25(x1754,x1754),f25(x1754,f25(x1751,x1751))),f7(x1752,x1753))+P5(x1751,f9(f9(f11(f6(f10(x1752,f6(f9(f9(f11(f6(f10(x1753,f6(f25(x1754,x1754),a19)),a19)))),a19)),a19)))))
% 1.00/1.07 [138]~P2(x1381)+P7(x1381)+~P2(f9(f11(f6(x1381,a19))))
% 1.00/1.07 [152]P2(x1521)+~P6(x1521,f6(a19,a19))+~P6(f7(x1521,f9(f11(f6(x1521,a19)))),a13)
% 1.00/1.07 [161]E(x1611,a4)+E(f25(f16(x1611,a4),f16(x1611,a4)),x1611)+~E(f16(f10(f8(f25(f16(x1611,a4),f16(x1611,a4))),x1611),a4),f16(x1611,a4))
% 1.00/1.07 [163]E(x1631,a4)+E(f25(f16(x1631,a4),f16(x1631,a4)),x1631)+P5(f16(f10(f8(f25(f16(x1631,a4),f16(x1631,a4))),x1631),a4),x1631)
% 1.00/1.07 [166]E(x1661,a4)+E(f25(f16(x1661,a4),f16(x1661,a4)),x1661)+P5(f16(f10(f8(f25(f16(x1661,a4),f16(x1661,a4))),x1661),a4),f10(f8(f25(f16(x1661,a4),f16(x1661,a4))),x1661))
% 1.00/1.07 [167]P1(x1671)+~P5(a4,x1671)+~P6(f9(f9(f11(f6(f10(a20,f6(x1671,a19)),a19)))),x1671)
% 1.00/1.07 [174]~P5(x1741,a19)+E(x1741,a4)+P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(x1741,x1741),a19)),a19))))))),x1741)
% 1.00/1.07 [98]~P6(x982,x981)+~P6(x981,x982)+E(x981,x982)
% 1.00/1.07 [91]P5(x912,a19)+P5(x911,a19)+E(f25(x911,x912),a4)
% 1.00/1.07 [102]P5(x1021,x1022)+P5(x1021,f8(x1022))+~P5(x1021,a19)
% 1.00/1.07 [112]E(x1121,x1122)+~E(f25(x1121,x1121),f25(x1122,x1122))+~P5(x1122,a19)
% 1.00/1.07 [113]E(x1131,x1132)+~E(f25(x1131,x1131),f25(x1132,x1132))+~P5(x1131,a19)
% 1.00/1.07 [120]E(f25(x1202,x1202),x1201)+~P6(x1201,f25(x1202,x1202))+E(x1201,a4)
% 1.00/1.07 [121]E(x1211,x1212)+P5(f16(x1212,x1211),x1212)+P5(f16(x1211,x1212),x1211)
% 1.00/1.07 [130]E(x1301,x1302)+P5(f16(x1302,x1301),x1302)+~P5(f16(x1301,x1302),x1302)
% 1.00/1.07 [132]E(x1321,x1322)+~P5(f16(x1322,x1321),x1321)+~P5(f16(x1321,x1322),x1322)
% 1.00/1.07 [116]~P5(x1162,x1161)+E(f14(x1161),x1162)+~E(f25(f14(x1161),f14(x1161)),x1161)
% 1.00/1.07 [133]P5(x1332,f9(x1331))+~P5(x1332,a19)+E(f10(x1331,f6(f25(x1332,x1332),a19)),a4)
% 1.00/1.07 [160]~P5(x1601,x1602)+~P5(f25(f25(x1601,x1601),f25(x1601,f25(x1602,x1602))),f6(a19,a19))+P5(f25(f25(x1601,x1601),f25(x1601,f25(x1602,x1602))),a5)
% 1.00/1.07 [162]~P5(f25(f25(x1621,x1621),f25(x1621,f25(x1622,x1622))),f6(a19,a19))+~E(f8(f10(f8(x1621),f8(f25(x1621,x1621)))),x1622)+P5(f25(f25(x1621,x1621),f25(x1621,f25(x1622,x1622))),a20)
% 1.00/1.07 [165]~P2(x1651)+~P5(x1652,a19)+P5(f9(f9(f11(f6(f10(x1651,f6(x1652,a19)),a19)))),a19)
% 1.00/1.07 [104]~P6(x1041,x1043)+P6(x1041,x1042)+~P6(x1043,x1042)
% 1.00/1.07 [105]~P5(x1051,x1053)+P5(x1051,x1052)+~P6(x1053,x1052)
% 1.00/1.07 [114]E(x1141,x1142)+E(x1141,x1143)+~P5(x1141,f25(x1143,x1142))
% 1.00/1.07 [122]~P5(x1221,x1223)+~P5(x1221,x1222)+P5(x1221,f10(x1222,x1223))
% 1.00/1.07 [123]~P5(x1232,x1233)+~P5(x1231,x1233)+P6(f25(x1231,x1232),x1233)
% 1.00/1.07 [153]E(x1531,x1532)+~E(f25(x1533,x1531),f25(x1533,x1532))+~P5(f25(f25(x1531,x1531),f25(x1531,f25(x1532,x1532))),f6(a19,a19))
% 1.00/1.07 [154]E(x1541,x1542)+~E(f25(x1541,x1543),f25(x1542,x1543))+~P5(f25(f25(x1541,x1541),f25(x1541,f25(x1542,x1542))),f6(a19,a19))
% 1.00/1.07 [143]~P5(x1432,x1434)+~P5(x1431,x1433)+P5(f25(f25(x1431,x1431),f25(x1431,f25(x1432,x1432))),f6(x1433,x1434))
% 1.00/1.07 [172]~P5(f25(f25(f25(f25(x1722,x1722),f25(x1722,f25(x1723,x1723))),f25(f25(x1722,x1722),f25(x1722,f25(x1723,x1723)))),f25(f25(f25(x1722,x1722),f25(x1722,f25(x1723,x1723))),f25(x1721,x1721))),x1724)+P5(f25(f25(f25(f25(x1721,x1721),f25(x1721,f25(x1722,x1722))),f25(f25(x1721,x1721),f25(x1721,f25(x1722,x1722)))),f25(f25(f25(x1721,x1721),f25(x1721,f25(x1722,x1722))),f25(x1723,x1723))),f21(x1724))+~P5(f25(f25(f25(f25(x1721,x1721),f25(x1721,f25(x1722,x1722))),f25(f25(x1721,x1721),f25(x1721,f25(x1722,x1722)))),f25(f25(f25(x1721,x1721),f25(x1721,f25(x1722,x1722))),f25(x1723,x1723))),f6(f6(a19,a19),a19))
% 1.00/1.07 [173]~P5(f25(f25(f25(f25(x1732,x1732),f25(x1732,f25(x1731,x1731))),f25(f25(x1732,x1732),f25(x1732,f25(x1731,x1731)))),f25(f25(f25(x1732,x1732),f25(x1732,f25(x1731,x1731))),f25(x1733,x1733))),x1734)+P5(f25(f25(f25(f25(x1731,x1731),f25(x1731,f25(x1732,x1732))),f25(f25(x1731,x1731),f25(x1731,f25(x1732,x1732)))),f25(f25(f25(x1731,x1731),f25(x1731,f25(x1732,x1732))),f25(x1733,x1733))),f11(x1734))+~P5(f25(f25(f25(f25(x1731,x1731),f25(x1731,f25(x1732,x1732))),f25(f25(x1731,x1731),f25(x1731,f25(x1732,x1732)))),f25(f25(f25(x1731,x1731),f25(x1731,f25(x1732,x1732))),f25(x1733,x1733))),f6(f6(a19,a19),a19))
% 1.00/1.07 [176]P5(f25(f25(x1761,x1761),f25(x1761,f25(x1762,x1762))),f7(x1763,x1764))+~P5(f25(f25(x1761,x1761),f25(x1761,f25(x1762,x1762))),f6(a19,a19))+~P5(x1762,f9(f9(f11(f6(f10(x1763,f6(f9(f9(f11(f6(f10(x1764,f6(f25(x1761,x1761),a19)),a19)))),a19)),a19)))))
% 1.00/1.07 [177]~P4(x1772,x1775,x1771)+~P5(f25(f25(x1773,x1773),f25(x1773,f25(x1774,x1774))),f9(x1775))+E(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1771,f6(f25(f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1773,x1773),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1773,x1773),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1773,x1773),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1774,x1774),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1774,x1774),a19)),a19)))))))))),f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1773,x1773),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1773,x1773),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1773,x1773),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1774,x1774),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(x1774,x1774),a19)),a19))))))))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1772,f6(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1775,f6(f25(f25(f25(x1773,x1773),f25(x1773,f25(x1774,x1774))),f25(f25(x1773,x1773),f25(x1773,f25(x1774,x1774)))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1775,f6(f25(f25(f25(x1773,x1773),f25(x1773,f25(x1774,x1774))),f25(f25(x1773,x1773),f25(x1773,f25(x1774,x1774)))),a19)),a19)))))))),a19)),a19))))))))
% 1.00/1.07 [158]~P2(x1581)+P8(x1581)+~E(f6(f9(f9(x1581)),f9(f9(x1581))),f9(x1581))+~P6(f9(f9(f11(f6(x1581,a19)))),f9(f9(x1581)))
% 1.00/1.07 [115]E(x1151,x1152)+E(x1153,x1152)+~E(f25(x1153,x1151),f25(x1152,x1152))+~P5(x1152,a19)
% 1.00/1.07 [157]~P2(x1571)+P3(x1571,x1572,x1573)+~E(f9(f9(x1572)),f9(x1571))+~P6(f9(f9(f11(f6(x1571,a19)))),f9(f9(x1573)))
% 1.00/1.07 [168]~P8(x1683)+~P8(x1682)+~P3(x1681,x1682,x1683)+P4(x1681,x1682,x1683)+P5(f25(f25(f17(x1681,x1682,x1683),f17(x1681,x1682,x1683)),f25(f17(x1681,x1682,x1683),f25(f18(x1681,x1682,x1683),f18(x1681,x1682,x1683)))),f9(x1682))
% 1.00/1.07 [178]~P8(x1783)+~P8(x1782)+~P3(x1781,x1782,x1783)+P4(x1781,x1782,x1783)+~E(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1783,f6(f25(f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f18(x1781,x1782,x1783),f18(x1781,x1782,x1783)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f18(x1781,x1782,x1783),f18(x1781,x1782,x1783)),a19)),a19)))))))))),f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f18(x1781,x1782,x1783),f18(x1781,x1782,x1783)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f18(x1781,x1782,x1783),f18(x1781,x1782,x1783)),a19)),a19))))))))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1781,f6(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1782,f6(f25(f25(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),f25(f17(x1781,x1782,x1783),f25(f18(x1781,x1782,x1783),f18(x1781,x1782,x1783)))),f25(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),f25(f17(x1781,x1782,x1783),f25(f18(x1781,x1782,x1783),f18(x1781,x1782,x1783))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1782,f6(f25(f25(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),f25(f17(x1781,x1782,x1783),f25(f18(x1781,x1782,x1783),f18(x1781,x1782,x1783)))),f25(f25(f17(x1781,x1782,x1783),f17(x1781,x1782,x1783)),f25(f17(x1781,x1782,x1783),f25(f18(x1781,x1782,x1783),f18(x1781,x1782,x1783))))),a19)),a19)))))))),a19)),a19))))))))
% 1.00/1.07 %EqnAxiom
% 1.00/1.07 [1]E(x11,x11)
% 1.00/1.07 [2]E(x22,x21)+~E(x21,x22)
% 1.00/1.07 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.00/1.07 [4]~E(x41,x42)+E(f25(x41,x43),f25(x42,x43))
% 1.00/1.07 [5]~E(x51,x52)+E(f25(x53,x51),f25(x53,x52))
% 1.00/1.07 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 1.00/1.07 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 1.00/1.07 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 1.00/1.07 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93))
% 1.00/1.07 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102))
% 1.00/1.07 [11]~E(x111,x112)+E(f11(x111),f11(x112))
% 1.00/1.07 [12]~E(x121,x122)+E(f16(x121,x123),f16(x122,x123))
% 1.00/1.07 [13]~E(x131,x132)+E(f16(x133,x131),f16(x133,x132))
% 1.00/1.07 [14]~E(x141,x142)+E(f18(x141,x143,x144),f18(x142,x143,x144))
% 1.00/1.07 [15]~E(x151,x152)+E(f18(x153,x151,x154),f18(x153,x152,x154))
% 1.00/1.07 [16]~E(x161,x162)+E(f18(x163,x164,x161),f18(x163,x164,x162))
% 1.00/1.07 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173))
% 1.00/1.07 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182))
% 1.00/1.07 [19]~E(x191,x192)+E(f14(x191),f14(x192))
% 1.00/1.07 [20]~E(x201,x202)+E(f17(x201,x203,x204),f17(x202,x203,x204))
% 1.00/1.07 [21]~E(x211,x212)+E(f17(x213,x211,x214),f17(x213,x212,x214))
% 1.00/1.07 [22]~E(x221,x222)+E(f17(x223,x224,x221),f17(x223,x224,x222))
% 1.00/1.07 [23]~E(x231,x232)+E(f15(x231),f15(x232))
% 1.00/1.07 [24]~E(x241,x242)+E(f8(x241),f8(x242))
% 1.00/1.07 [25]~E(x251,x252)+E(f21(x251),f21(x252))
% 1.00/1.07 [26]~E(x261,x262)+E(f3(x261),f3(x262))
% 1.00/1.07 [27]~E(x271,x272)+E(f22(x271),f22(x272))
% 1.00/1.07 [28]~E(x281,x282)+E(f24(x281),f24(x282))
% 1.00/1.07 [29]~E(x291,x292)+E(f12(x291),f12(x292))
% 1.00/1.07 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 1.00/1.07 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 1.00/1.07 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 1.00/1.07 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 1.00/1.07 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 1.00/1.07 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 1.00/1.07 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 1.00/1.07 [37]P6(x372,x373)+~E(x371,x372)+~P6(x371,x373)
% 1.00/1.07 [38]P6(x383,x382)+~E(x381,x382)+~P6(x383,x381)
% 1.00/1.07 [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 1.00/1.07 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 1.00/1.07 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 1.00/1.07 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 1.00/1.07 [43]~P7(x431)+P7(x432)+~E(x431,x432)
% 1.00/1.07 [44]~P9(x441)+P9(x442)+~E(x441,x442)
% 1.00/1.07
% 1.00/1.07 %-------------------------------------------
% 1.00/1.07 cnf(179,plain,
% 1.00/1.07 (E(a13,f10(f9(f11(f6(a23,a19))),a23))),
% 1.00/1.07 inference(scs_inference,[],[64,2])).
% 1.00/1.07 cnf(181,plain,
% 1.00/1.07 (~P5(x1811,a4)),
% 1.00/1.07 inference(rename_variables,[],[73])).
% 1.00/1.07 cnf(183,plain,
% 1.00/1.07 (E(f10(f8(x1831),x1831),a4)),
% 1.00/1.07 inference(scs_inference,[],[73,64,74,2,81,90])).
% 1.00/1.07 cnf(184,plain,
% 1.00/1.07 (~P5(x1841,f10(f8(x1842),x1842))),
% 1.00/1.07 inference(rename_variables,[],[74])).
% 1.00/1.07 cnf(186,plain,
% 1.00/1.07 (~E(f25(a27,f25(a26,a26)),f25(a27,a4))),
% 1.00/1.07 inference(scs_inference,[],[73,64,75,74,2,81,90,5])).
% 1.00/1.07 cnf(187,plain,
% 1.00/1.07 (P6(f10(f8(x1871),x1871),x1872)),
% 1.00/1.07 inference(scs_inference,[],[73,64,75,74,184,2,81,90,5,100])).
% 1.00/1.07 cnf(188,plain,
% 1.00/1.07 (~P5(x1881,f10(f8(x1882),x1882))),
% 1.00/1.07 inference(rename_variables,[],[74])).
% 1.00/1.07 cnf(193,plain,
% 1.00/1.07 (~P5(x1931,a4)),
% 1.00/1.07 inference(rename_variables,[],[73])).
% 1.00/1.07 cnf(196,plain,
% 1.00/1.07 (~P5(x1961,a4)),
% 1.00/1.07 inference(rename_variables,[],[73])).
% 1.00/1.07 cnf(199,plain,
% 1.00/1.07 (P6(x1991,x1991)),
% 1.00/1.07 inference(rename_variables,[],[51])).
% 1.00/1.07 cnf(203,plain,
% 1.00/1.07 (~P5(x2031,a4)),
% 1.00/1.07 inference(rename_variables,[],[73])).
% 1.00/1.07 cnf(205,plain,
% 1.00/1.07 (~P1(f10(f8(f6(f25(x2051,x2051),a19)),f6(f25(x2051,x2051),a19)))),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,73,181,193,196,47,64,75,74,184,2,81,90,5,100,136,171,170,38,37,33,32,30])).
% 1.00/1.07 cnf(206,plain,
% 1.00/1.07 (~E(f25(f25(a27,a27),f25(a27,f25(a26,a26))),f25(f25(a27,a4),f25(a27,a27)))),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,73,181,193,196,47,64,75,52,74,184,2,81,90,5,100,136,171,170,38,37,33,32,30,3])).
% 1.00/1.07 cnf(210,plain,
% 1.00/1.07 (~P6(a26,a4)),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,50,73,181,193,196,47,55,64,75,52,59,74,184,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98])).
% 1.00/1.07 cnf(215,plain,
% 1.00/1.07 (~P5(x2151,f10(f8(x2152),x2152))),
% 1.00/1.07 inference(rename_variables,[],[74])).
% 1.00/1.07 cnf(217,plain,
% 1.00/1.07 (E(a4,f10(f8(x2171),x2171))),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,47,55,64,75,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121])).
% 1.00/1.07 cnf(219,plain,
% 1.00/1.07 (~P5(x2191,a4)),
% 1.00/1.07 inference(rename_variables,[],[73])).
% 1.00/1.07 cnf(221,plain,
% 1.00/1.07 (P6(f10(f6(a19,a19),f10(f6(a19,a19),f8(f7(f8(a5),f9(f11(f6(a5,a19))))))),a23)),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,47,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79])).
% 1.00/1.07 cnf(223,plain,
% 1.00/1.07 (P6(a23,f10(f6(a19,a19),f10(f6(a19,a19),f8(f7(f8(a5),f9(f11(f6(a5,a19))))))))),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,47,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78])).
% 1.00/1.07 cnf(243,plain,
% 1.00/1.07 (~E(f25(a4,x2431),a4)),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,45,46,47,48,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96])).
% 1.00/1.07 cnf(245,plain,
% 1.00/1.07 (~E(f25(x2451,a4),a4)),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,45,46,47,48,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95])).
% 1.00/1.07 cnf(275,plain,
% 1.00/1.07 (E(f25(f10(f9(f11(f6(a23,a19))),a23),x2751),f25(a13,x2751))),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,45,46,47,48,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4])).
% 1.00/1.07 cnf(276,plain,
% 1.00/1.07 (~P5(f25(f25(x2761,x2761),f25(x2761,f25(a26,a26))),f6(x2762,x2763))),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,45,46,47,48,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147])).
% 1.00/1.07 cnf(280,plain,
% 1.00/1.07 (P5(f14(f25(a4,a4)),a19)),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,45,46,47,48,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127])).
% 1.00/1.07 cnf(284,plain,
% 1.00/1.07 (~E(f25(f14(a26),f14(a26)),a26)),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,45,46,47,48,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103])).
% 1.00/1.07 cnf(288,plain,
% 1.00/1.07 (E(f25(a26,a26),a4)),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,45,46,47,48,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87])).
% 1.00/1.07 cnf(294,plain,
% 1.00/1.07 (~P5(f25(f25(a26,a26),f25(a26,f25(x2941,x2941))),f6(x2942,x2943))),
% 1.00/1.07 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148])).
% 1.00/1.07 cnf(300,plain,
% 1.00/1.07 (E(f25(f14(f25(a4,a4)),f14(f25(a4,a4))),f25(a4,a4))),
% 1.00/1.08 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148,150,145,135])).
% 1.00/1.08 cnf(312,plain,
% 1.00/1.08 (P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(a4,x3121),f25(a4,x3121)),a19)),a19))))))),f25(a4,x3121))),
% 1.00/1.08 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,56,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148,150,145,135,31,102,165,123,114,174])).
% 1.00/1.08 cnf(313,plain,
% 1.00/1.08 (P5(f25(x3131,x3132),a19)),
% 1.00/1.08 inference(rename_variables,[],[56])).
% 1.00/1.08 cnf(315,plain,
% 1.00/1.08 (~E(f25(a4,a4),f25(a26,a26))),
% 1.00/1.08 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,56,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148,150,145,135,31,102,165,123,114,174,113])).
% 1.00/1.08 cnf(317,plain,
% 1.00/1.08 (~E(f25(a19,a19),f25(a4,a4))),
% 1.00/1.08 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,56,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148,150,145,135,31,102,165,123,114,174,113,112])).
% 1.00/1.08 cnf(319,plain,
% 1.00/1.08 (P5(f25(f25(a4,a4),f25(a4,f25(a4,a4))),f6(a19,a19))),
% 1.00/1.08 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,56,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148,150,145,135,31,102,165,123,114,174,113,112,143])).
% 1.00/1.08 cnf(321,plain,
% 1.00/1.08 (~E(f25(f25(f25(a27,a27),f25(a27,f25(a26,a26))),f25(f25(a27,a27),f25(a27,f25(a26,a26)))),f25(f25(f25(a27,a27),f25(a27,a4)),f25(f25(a27,a27),f25(a27,a4))))),
% 1.00/1.08 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,56,313,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148,150,145,135,31,102,165,123,114,174,113,112,143,115])).
% 1.00/1.08 cnf(324,plain,
% 1.00/1.08 (~P6(a19,a4)),
% 1.00/1.08 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,56,313,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148,150,145,135,31,102,165,123,114,174,113,112,143,115,82])).
% 1.00/1.08 cnf(328,plain,
% 1.00/1.08 (P9(a2)),
% 1.00/1.08 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,56,313,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148,150,145,135,31,102,165,123,114,174,113,112,143,115,82,84,146])).
% 1.00/1.08 cnf(330,plain,
% 1.00/1.08 (E(f14(a26),a26)),
% 1.00/1.08 inference(scs_inference,[],[72,51,199,49,50,73,181,193,196,203,219,45,46,47,48,55,64,75,70,56,313,52,59,74,184,188,215,2,81,90,5,100,136,171,170,38,37,33,32,30,3,105,98,167,122,121,79,78,94,169,164,137,118,117,107,106,101,96,95,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,147,140,127,111,103,99,87,83,149,148,150,145,135,31,102,165,123,114,174,113,112,143,115,82,84,146,88])).
% 1.00/1.08 cnf(360,plain,
% 1.00/1.08 (P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(a4,x3601),f25(a4,x3601)),a19)),a19))))))),f25(a4,x3601))),
% 1.00/1.08 inference(rename_variables,[],[312])).
% 1.00/1.08 cnf(366,plain,
% 1.00/1.08 (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))))))))),
% 1.00/1.08 inference(scs_inference,[],[300,319,312,360,206,142,110,111,123,114,116])).
% 1.00/1.08 cnf(369,plain,
% 1.00/1.08 (~E(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a26,a26),f25(a26,a26)))),
% 1.00/1.08 inference(scs_inference,[],[56,315,300,319,312,360,206,142,110,111,123,114,116,112])).
% 1.00/1.08 cnf(370,plain,
% 1.00/1.08 (P5(f25(x3701,x3702),a19)),
% 1.00/1.08 inference(rename_variables,[],[56])).
% 1.00/1.08 cnf(373,plain,
% 1.00/1.08 (P5(f25(x3731,x3732),a19)),
% 1.00/1.08 inference(rename_variables,[],[56])).
% 1.00/1.08 cnf(377,plain,
% 1.00/1.08 (~E(a26,a4)),
% 1.00/1.08 inference(scs_inference,[],[56,370,373,46,315,300,319,317,312,360,206,210,142,110,111,123,114,116,112,115,165,79])).
% 1.00/1.08 cnf(381,plain,
% 1.00/1.08 (~E(f25(f25(a27,a27),f25(a27,a4)),f25(f25(a27,a27),f25(a27,f25(a26,a26))))),
% 1.00/1.08 inference(scs_inference,[],[56,370,373,46,75,315,300,319,317,312,360,206,210,142,110,111,123,114,116,112,115,165,79,100,2])).
% 1.00/1.08 cnf(384,plain,
% 1.00/1.08 (P5(f16(f25(a4,x3841),a4),f25(a4,x3841))),
% 1.00/1.08 inference(scs_inference,[],[45,56,370,373,46,75,315,300,319,317,312,360,206,210,243,142,110,111,123,114,116,112,115,165,79,100,2,81,90])).
% 1.00/1.08 cnf(387,plain,
% 1.00/1.08 (~E(f25(f25(a27,f25(a26,a26)),f25(a27,a27)),f25(f25(a27,a27),f25(a27,a4)))),
% 1.00/1.08 inference(scs_inference,[],[72,45,52,56,370,373,46,75,315,300,319,317,312,360,206,210,243,330,142,110,111,123,114,116,112,115,165,79,100,2,81,90,32,3])).
% 1.00/1.08 cnf(393,plain,
% 1.00/1.08 (~P5(x3931,a4)),
% 1.00/1.08 inference(rename_variables,[],[73])).
% 1.00/1.08 cnf(397,plain,
% 1.00/1.08 (~P6(a26,f25(f14(a26),f14(a26)))),
% 1.00/1.08 inference(scs_inference,[],[72,65,73,45,52,50,56,370,373,46,75,315,300,319,317,312,360,206,284,210,243,330,142,110,111,123,114,116,112,115,165,79,100,2,81,90,32,3,98,102,122,120])).
% 1.00/1.08 cnf(405,plain,
% 1.00/1.08 (~P6(a26,f25(a26,a26))),
% 1.00/1.08 inference(scs_inference,[],[72,65,73,45,52,50,56,370,373,46,75,315,276,300,319,317,321,312,360,206,288,284,210,243,330,142,110,111,123,114,116,112,115,165,79,100,2,81,90,32,3,98,102,122,120,113,143,38])).
% 1.00/1.08 cnf(410,plain,
% 1.00/1.08 (~P5(x4101,a4)),
% 1.00/1.08 inference(rename_variables,[],[73])).
% 1.00/1.08 cnf(413,plain,
% 1.00/1.08 (~P5(x4131,f25(a26,a26))),
% 1.00/1.08 inference(scs_inference,[],[72,179,65,73,393,410,45,52,50,56,370,373,46,75,315,276,300,319,317,321,312,360,206,288,284,210,243,330,324,142,110,111,123,114,116,112,115,165,79,100,2,81,90,32,3,98,102,122,120,113,143,38,37,78,105,5,33])).
% 1.00/1.08 cnf(414,plain,
% 1.00/1.08 (~E(a1,f10(f8(f6(f25(x4141,x4141),a19)),f6(f25(x4141,x4141),a19)))),
% 1.00/1.08 inference(scs_inference,[],[72,179,65,73,393,410,45,52,50,56,370,373,46,75,315,276,300,319,205,317,321,312,360,206,288,284,210,243,330,324,142,110,111,123,114,116,112,115,165,79,100,2,81,90,32,3,98,102,122,120,113,143,38,37,78,105,5,33,30])).
% 1.00/1.08 cnf(423,plain,
% 1.00/1.08 (P5(f16(f25(a4,a4),f25(a26,a26)),f25(a4,a4))),
% 1.00/1.08 inference(scs_inference,[],[72,179,65,73,393,410,45,52,50,56,370,373,59,46,75,315,276,300,319,205,317,321,312,360,206,288,284,210,243,330,324,328,142,110,111,123,114,116,112,115,165,79,100,2,81,90,32,3,98,102,122,120,113,143,38,37,78,105,5,33,30,175,44,104,91,121])).
% 1.00/1.08 cnf(433,plain,
% 1.00/1.08 (~E(a2,x4331)+~P5(f25(f25(f14(a26),f14(a26)),f25(f14(a26),f25(f14(a26),f14(a26)))),f6(x4332,x4333))),
% 1.00/1.08 inference(scs_inference,[],[72,179,65,51,73,393,410,45,52,50,56,370,373,59,46,75,315,276,300,319,205,317,321,312,360,206,288,284,210,243,330,324,328,142,110,111,123,114,116,112,115,165,79,100,2,81,90,32,3,98,102,122,120,113,143,38,37,78,105,5,33,30,175,44,104,91,121,139,176,157,119,151])).
% 1.00/1.08 cnf(444,plain,
% 1.00/1.08 (~P5(f25(f25(f14(a26),f14(a26)),f25(f14(a26),f25(f14(a26),f14(a26)))),f6(x4441,x4442))),
% 1.00/1.08 inference(equality_inference,[],[433])).
% 1.00/1.08 cnf(451,plain,
% 1.00/1.08 (~E(f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4))),f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))))),
% 1.00/1.08 inference(scs_inference,[],[61,56,423,369,114,79,115])).
% 1.00/1.08 cnf(459,plain,
% 1.00/1.08 (~P5(x4591,f25(a26,a26))),
% 1.00/1.08 inference(rename_variables,[],[413])).
% 1.00/1.08 cnf(461,plain,
% 1.00/1.08 (E(f10(x4611,f6(x4612,x4613)),f10(f6(x4612,x4613),x4611))),
% 1.00/1.08 inference(scs_inference,[],[61,56,423,369,413,221,223,114,79,115,111,98,100,2])).
% 1.00/1.08 cnf(462,plain,
% 1.00/1.08 (~P1(f10(f8(x4621),x4621))),
% 1.00/1.08 inference(scs_inference,[],[61,74,56,423,369,413,221,223,114,79,115,111,98,100,2,81])).
% 1.00/1.08 cnf(463,plain,
% 1.00/1.08 (~P5(x4631,f10(f8(x4632),x4632))),
% 1.00/1.08 inference(rename_variables,[],[74])).
% 1.00/1.08 cnf(465,plain,
% 1.00/1.08 (P6(f8(f10(f8(f25(x4651,x4651)),f8(f25(x4652,x4652)))),f25(x4651,x4652))),
% 1.00/1.08 inference(scs_inference,[],[61,68,74,51,56,423,369,413,221,223,114,79,115,111,98,100,2,81,38])).
% 1.00/1.08 cnf(467,plain,
% 1.00/1.08 (P6(f25(a13,f10(f9(f11(f6(a23,a19))),a23)),f25(f10(f9(f11(f6(a23,a19))),a23),x4671))),
% 1.00/1.08 inference(scs_inference,[],[61,68,60,74,51,56,423,369,413,275,221,223,114,79,115,111,98,100,2,81,38,37])).
% 1.00/1.08 cnf(472,plain,
% 1.00/1.08 (~P5(x4721,f10(f8(x4722),x4722))),
% 1.00/1.08 inference(rename_variables,[],[74])).
% 1.00/1.08 cnf(486,plain,
% 1.00/1.08 (~P5(x4861,f10(f6(f25(x4862,x4862),a19),f8(f6(f25(x4862,x4862),a19))))),
% 1.00/1.08 inference(scs_inference,[],[183,61,68,67,54,60,74,463,472,51,56,423,369,413,459,444,381,366,275,221,223,217,280,205,114,79,115,111,98,100,2,81,38,37,121,78,105,122,32,30,3,6,5,33])).
% 1.00/1.08 cnf(494,plain,
% 1.00/1.08 (~P6(a26,f10(f8(x4941),x4941))),
% 1.00/1.08 inference(scs_inference,[],[183,61,68,67,54,60,74,463,472,51,56,423,369,413,459,444,381,366,275,221,223,397,217,280,187,205,114,79,115,111,98,100,2,81,38,37,121,78,105,122,32,30,3,6,5,33,162,84,104])).
% 1.00/1.08 cnf(513,plain,
% 1.00/1.08 (~P6(a19,f10(f8(x5131),x5131))),
% 1.00/1.08 inference(scs_inference,[],[49,494,377,84,104])).
% 1.00/1.08 cnf(514,plain,
% 1.00/1.08 (P6(x5141,a19)),
% 1.00/1.08 inference(rename_variables,[],[49])).
% 1.00/1.08 cnf(518,plain,
% 1.00/1.08 (~E(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)))),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)))))),
% 1.00/1.08 inference(scs_inference,[],[49,56,451,494,377,84,104,114,112])).
% 1.00/1.08 cnf(523,plain,
% 1.00/1.08 (~P6(a1,f10(f8(f6(f25(x5231,x5231),a19)),f6(f25(x5231,x5231),a19)))),
% 1.00/1.08 inference(scs_inference,[],[49,56,451,494,414,377,187,84,104,114,112,79,98])).
% 1.00/1.08 cnf(534,plain,
% 1.00/1.08 (P5(f25(f25(f25(x5341,f25(x5342,x5342)),f25(x5341,f25(x5342,x5342))),f25(f25(x5341,f25(x5342,x5342)),f25(f25(x5341,f25(x5342,x5342)),f25(x5341,f25(x5342,x5342))))),f6(f25(f25(x5341,x5341),f25(x5341,f25(x5342,x5342))),f25(f25(x5341,x5341),f25(x5341,f25(x5342,x5342)))))),
% 1.00/1.08 inference(scs_inference,[],[69,49,56,451,384,494,414,377,245,317,187,84,104,114,112,79,98,111,120,78,143])).
% 1.00/1.08 cnf(539,plain,
% 1.00/1.08 (~P5(x5391,f10(f8(x5392),x5392))),
% 1.00/1.08 inference(rename_variables,[],[74])).
% 1.00/1.08 cnf(557,plain,
% 1.00/1.08 (~E(f25(f25(x5571,x5571),f25(x5571,f25(x5572,x5572))),a4)),
% 1.00/1.08 inference(scs_inference,[],[69,53,60,49,514,70,73,74,539,56,61,461,462,451,384,494,405,414,377,294,245,317,187,84,104,114,112,79,98,111,120,78,143,100,122,38,121,105,37,3,2,30,33])).
% 1.00/1.08 cnf(572,plain,
% 1.00/1.08 (~E(f25(f25(x5721,x5721),f25(x5721,f25(x5722,x5722))),a4)),
% 1.00/1.08 inference(rename_variables,[],[557])).
% 1.00/1.08 cnf(599,plain,
% 1.00/1.08 (~P5(x5991,a4)),
% 1.00/1.08 inference(rename_variables,[],[73])).
% 1.00/1.08 cnf(611,plain,
% 1.00/1.08 (E(f10(f6(x6111,x6112),x6113),f10(x6113,f6(x6111,x6112)))),
% 1.00/1.08 inference(rename_variables,[],[61])).
% 1.00/1.08 cnf(618,plain,
% 1.00/1.08 ($false),
% 1.00/1.08 inference(scs_inference,[],[186,67,52,68,50,59,73,599,48,74,56,61,611,534,465,518,387,467,557,572,513,523,486,288,156,142,151,110,104,114,79,112,78,98,122,111,121,100,105,3,38,37,2,33,5]),
% 1.00/1.08 ['proof']).
% 1.00/1.08 % SZS output end Proof
% 1.00/1.08 % Total time :0.400000s
%------------------------------------------------------------------------------