TSTP Solution File: SET096-7 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET096-7 : 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 : n002.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 14:28:41 EDT 2023
% Result : Unsatisfiable 1.08s 1.20s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 11:51:03 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.62 start to proof:theBenchmark
% 1.08/1.19 %-------------------------------------------
% 1.08/1.19 % File :CSE---1.6
% 1.08/1.19 % Problem :theBenchmark
% 1.08/1.19 % Transform :cnf
% 1.08/1.19 % Format :tptp:raw
% 1.08/1.19 % Command :java -jar mcs_scs.jar %d %s
% 1.08/1.19
% 1.08/1.19 % Result :Theorem 0.490000s
% 1.08/1.19 % Output :CNFRefutation 0.490000s
% 1.08/1.19 %-------------------------------------------
% 1.08/1.19 %------------------------------------------------------------------------------
% 1.08/1.19 % File : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.08/1.19 % Domain : Set Theory
% 1.08/1.19 % Problem : There are at most two subsets of a singleton set
% 1.08/1.19 % Version : [Qua92] axioms : Augmented.
% 1.08/1.19 % English :
% 1.08/1.19
% 1.08/1.19 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.08/1.19 % Source : [Quaife]
% 1.08/1.19 % Names : SS12 [Qua92]
% 1.08/1.19
% 1.08/1.19 % Status : Unsatisfiable
% 1.08/1.19 % Rating : 0.24 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.29 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.29 v5.0.0, 0.36 v4.1.0, 0.31 v4.0.1, 0.45 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.11 v2.5.0, 0.09 v2.4.0, 0.25 v2.2.1, 0.17 v2.2.0, 0.33 v2.1.0
% 1.08/1.19 % Syntax : Number of clauses : 142 ( 43 unt; 21 nHn; 96 RR)
% 1.08/1.19 % Number of literals : 283 ( 79 equ; 128 neg)
% 1.08/1.19 % Maximal clause size : 5 ( 1 avg)
% 1.08/1.19 % Maximal term depth : 6 ( 1 avg)
% 1.08/1.19 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 1.08/1.19 % Number of functors : 42 ( 42 usr; 10 con; 0-3 aty)
% 1.08/1.19 % Number of variables : 266 ( 46 sgn)
% 1.08/1.19 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.08/1.19
% 1.08/1.19 % Comments : Preceding lemmas are added.
% 1.08/1.19 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 1.08/1.19 %------------------------------------------------------------------------------
% 1.08/1.19 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.08/1.19 include('Axioms/SET004-0.ax').
% 1.08/1.19 %------------------------------------------------------------------------------
% 1.08/1.19 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 1.08/1.19 cnf(corollary_1_to_unordered_pair,axiom,
% 1.08/1.19 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 1.08/1.19 | member(X,unordered_pair(X,Y)) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(corollary_2_to_unordered_pair,axiom,
% 1.08/1.19 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 1.08/1.19 | member(Y,unordered_pair(X,Y)) ) ).
% 1.08/1.19
% 1.08/1.19 %----Corollaries to Cartesian product axiom.
% 1.08/1.19 cnf(corollary_1_to_cartesian_product,axiom,
% 1.08/1.19 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 1.08/1.19 | member(U,universal_class) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(corollary_2_to_cartesian_product,axiom,
% 1.08/1.20 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 1.08/1.20 | member(V,universal_class) ) ).
% 1.08/1.20
% 1.08/1.20 %---- PARTIAL ORDER.
% 1.08/1.20 %----(PO1): reflexive.
% 1.08/1.20 cnf(subclass_is_reflexive,axiom,
% 1.08/1.20 subclass(X,X) ).
% 1.08/1.20
% 1.08/1.20 %----(PO2): antisymmetry is part of A-3.
% 1.08/1.20 %----(x < y), (y < x) --> (x = y).
% 1.08/1.20
% 1.08/1.20 %----(PO3): transitivity.
% 1.08/1.20 cnf(transitivity_of_subclass,axiom,
% 1.08/1.20 ( ~ subclass(X,Y)
% 1.08/1.20 | ~ subclass(Y,Z)
% 1.08/1.20 | subclass(X,Z) ) ).
% 1.08/1.20
% 1.08/1.20 %---- EQUALITY.
% 1.08/1.20 %----(EQ1): equality axiom.
% 1.08/1.20 %----a:x:(x = x).
% 1.08/1.20 %----This is always an axiom in the TPTP presentation.
% 1.08/1.20
% 1.08/1.20 %----(EQ2): expanded equality definition.
% 1.08/1.20 cnf(equality1,axiom,
% 1.08/1.20 ( X = Y
% 1.08/1.20 | member(not_subclass_element(X,Y),X)
% 1.08/1.20 | member(not_subclass_element(Y,X),Y) ) ).
% 1.08/1.20
% 1.08/1.20 cnf(equality2,axiom,
% 1.08/1.20 ( ~ member(not_subclass_element(X,Y),Y)
% 1.08/1.20 | X = Y
% 1.08/1.20 | member(not_subclass_element(Y,X),Y) ) ).
% 1.08/1.20
% 1.08/1.20 cnf(equality3,axiom,
% 1.08/1.20 ( ~ member(not_subclass_element(Y,X),X)
% 1.08/1.20 | X = Y
% 1.08/1.20 | member(not_subclass_element(X,Y),X) ) ).
% 1.08/1.20
% 1.08/1.20 cnf(equality4,axiom,
% 1.08/1.20 ( ~ member(not_subclass_element(X,Y),Y)
% 1.08/1.20 | ~ member(not_subclass_element(Y,X),X)
% 1.08/1.20 | X = Y ) ).
% 1.08/1.20
% 1.08/1.20 %---- SPECIAL CLASSES.
% 1.08/1.20 %----(SP1): lemma.
% 1.08/1.20 cnf(special_classes_lemma,axiom,
% 1.08/1.20 ~ member(Y,intersection(complement(X),X)) ).
% 1.08/1.20
% 1.08/1.20 %----(SP2): Existence of O (null class).
% 1.08/1.20 %----e:x:a:z:(-(z e x)).
% 1.08/1.20 cnf(existence_of_null_class,axiom,
% 1.08/1.20 ~ member(Z,null_class) ).
% 1.08/1.20
% 1.08/1.20 %----(SP3): O is a subclass of every class.
% 1.08/1.20 cnf(null_class_is_subclass,axiom,
% 1.08/1.20 subclass(null_class,X) ).
% 1.08/1.20
% 1.08/1.20 %----corollary.
% 1.08/1.20 cnf(corollary_of_null_class_is_subclass,axiom,
% 1.08/1.20 ( ~ subclass(X,null_class)
% 1.08/1.20 | X = null_class ) ).
% 1.08/1.20
% 1.08/1.20 %----(SP4): uniqueness of null class.
% 1.08/1.20 cnf(null_class_is_unique,axiom,
% 1.08/1.20 ( Z = null_class
% 1.08/1.20 | member(not_subclass_element(Z,null_class),Z) ) ).
% 1.08/1.20
% 1.08/1.20 %----(SP5): O is a set (follows from axiom of infinity).
% 1.08/1.20 cnf(null_class_is_a_set,axiom,
% 1.08/1.20 member(null_class,universal_class) ).
% 1.08/1.20
% 1.08/1.20 %---- UNORDERED PAIRS.
% 1.08/1.20 %----(UP1): unordered pair is commutative.
% 1.08/1.20 cnf(commutativity_of_unordered_pair,axiom,
% 1.08/1.20 unordered_pair(X,Y) = unordered_pair(Y,X) ).
% 1.08/1.20
% 1.08/1.20 %----(UP2): if one argument is a proper class, pair contains only the
% 1.08/1.20 %----other. In a slightly different form to the paper
% 1.08/1.20 cnf(singleton_in_unordered_pair1,axiom,
% 1.08/1.20 subclass(singleton(X),unordered_pair(X,Y)) ).
% 1.08/1.20
% 1.08/1.20 cnf(singleton_in_unordered_pair2,axiom,
% 1.08/1.20 subclass(singleton(Y),unordered_pair(X,Y)) ).
% 1.08/1.20
% 1.08/1.20 cnf(unordered_pair_equals_singleton1,axiom,
% 1.08/1.20 ( member(Y,universal_class)
% 1.08/1.20 | unordered_pair(X,Y) = singleton(X) ) ).
% 1.08/1.20
% 1.08/1.20 cnf(unordered_pair_equals_singleton2,axiom,
% 1.08/1.20 ( member(X,universal_class)
% 1.08/1.20 | unordered_pair(X,Y) = singleton(Y) ) ).
% 1.08/1.20
% 1.08/1.20 %----(UP3): if both arguments are proper classes, pair is null.
% 1.08/1.20 cnf(null_unordered_pair,axiom,
% 1.08/1.20 ( unordered_pair(X,Y) = null_class
% 1.08/1.20 | member(X,universal_class)
% 1.08/1.20 | member(Y,universal_class) ) ).
% 1.08/1.20
% 1.08/1.20 %----(UP4): left cancellation for unordered pairs.
% 1.08/1.20 cnf(left_cancellation,axiom,
% 1.08/1.20 ( unordered_pair(X,Y) != unordered_pair(X,Z)
% 1.08/1.20 | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 1.08/1.20 | Y = Z ) ).
% 1.08/1.20
% 1.08/1.20 %----(UP5): right cancellation for unordered pairs.
% 1.08/1.20 cnf(right_cancellation,axiom,
% 1.08/1.20 ( unordered_pair(X,Z) != unordered_pair(Y,Z)
% 1.08/1.20 | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
% 1.08/1.20 | X = Y ) ).
% 1.08/1.20
% 1.08/1.20 %----(UP6): corollary to (A-4).
% 1.08/1.20 cnf(corollary_to_unordered_pair_axiom1,axiom,
% 1.08/1.20 ( ~ member(X,universal_class)
% 1.08/1.20 | unordered_pair(X,Y) != null_class ) ).
% 1.08/1.20
% 1.08/1.20 cnf(corollary_to_unordered_pair_axiom2,axiom,
% 1.08/1.20 ( ~ member(Y,universal_class)
% 1.08/1.20 | unordered_pair(X,Y) != null_class ) ).
% 1.08/1.20
% 1.08/1.20 %----corollary to instantiate variables.
% 1.08/1.20 %----Not in the paper
% 1.08/1.20 cnf(corollary_to_unordered_pair_axiom3,axiom,
% 1.08/1.20 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 1.08/1.20 | unordered_pair(X,Y) != null_class ) ).
% 1.08/1.20
% 1.08/1.20 %----(UP7): if both members of a pair belong to a set, the pair
% 1.08/1.20 %----is a subset.
% 1.08/1.20 cnf(unordered_pair_is_subset,axiom,
% 1.08/1.20 ( ~ member(X,Z)
% 1.08/1.20 | ~ member(Y,Z)
% 1.08/1.20 | subclass(unordered_pair(X,Y),Z) ) ).
% 1.08/1.20
% 1.08/1.20 %---- SINGLETONS.
% 1.08/1.20 %----(SS1): every singleton is a set.
% 1.08/1.20 cnf(singletons_are_sets,axiom,
% 1.08/1.20 member(singleton(X),universal_class) ).
% 1.08/1.20
% 1.08/1.20 %----corollary, not in the paper.
% 1.08/1.20 cnf(corollary_1_to_singletons_are_sets,axiom,
% 1.08/1.20 member(singleton(Y),unordered_pair(X,singleton(Y))) ).
% 1.08/1.20
% 1.08/1.20 %----(SS2): a set belongs to its singleton.
% 1.08/1.20 %----(u = x), (u e universal_class) --> (u e {x}).
% 1.08/1.20 cnf(set_in_its_singleton,axiom,
% 1.08/1.20 ( ~ member(X,universal_class)
% 1.08/1.20 | member(X,singleton(X)) ) ).
% 1.08/1.20
% 1.08/1.20 %----corollary
% 1.08/1.20 cnf(corollary_to_set_in_its_singleton,axiom,
% 1.08/1.20 ( ~ member(X,universal_class)
% 1.08/1.20 | singleton(X) != null_class ) ).
% 1.08/1.20
% 1.08/1.20 %----Not in the paper
% 1.08/1.20 cnf(null_class_in_its_singleton,axiom,
% 1.08/1.20 member(null_class,singleton(null_class)) ).
% 1.08/1.20
% 1.08/1.20 %----(SS3): only x can belong to {x}.
% 1.08/1.20 cnf(only_member_in_singleton,axiom,
% 1.08/1.20 ( ~ member(Y,singleton(X))
% 1.08/1.20 | Y = X ) ).
% 1.08/1.20
% 1.08/1.20 %----(SS4): if x is not a set, {x} = O.
% 1.08/1.20 cnf(singleton_is_null_class,axiom,
% 1.08/1.20 ( member(X,universal_class)
% 1.08/1.20 | singleton(X) = null_class ) ).
% 1.08/1.20
% 1.08/1.20 %----(SS5): a singleton set is determined by its element.
% 1.08/1.20 cnf(singleton_identified_by_element1,axiom,
% 1.08/1.20 ( singleton(X) != singleton(Y)
% 1.08/1.20 | ~ member(X,universal_class)
% 1.08/1.20 | X = Y ) ).
% 1.08/1.20
% 1.08/1.20 cnf(singleton_identified_by_element2,axiom,
% 1.08/1.20 ( singleton(X) != singleton(Y)
% 1.08/1.20 | ~ member(Y,universal_class)
% 1.08/1.20 | X = Y ) ).
% 1.08/1.20
% 1.08/1.20 %----(SS5.5).
% 1.08/1.20 %----Not in the paper
% 1.08/1.20 cnf(singleton_in_unordered_pair3,axiom,
% 1.08/1.20 ( unordered_pair(Y,Z) != singleton(X)
% 1.08/1.20 | ~ member(X,universal_class)
% 1.08/1.20 | X = Y
% 1.08/1.20 | X = Z ) ).
% 1.08/1.20
% 1.08/1.20 %----(SS6): existence of memb.
% 1.08/1.20 %----a:x:e:u:(((u e universal_class) & x = {u}) | (-e:y:((y
% 1.08/1.20 %----e universal_class) & x = {y}) & u = x)).
% 1.08/1.20 cnf(member_exists1,axiom,
% 1.08/1.20 ( ~ member(Y,universal_class)
% 1.08/1.20 | member(member_of(singleton(Y)),universal_class) ) ).
% 1.08/1.20
% 1.08/1.20 cnf(member_exists2,axiom,
% 1.08/1.20 ( ~ member(Y,universal_class)
% 1.08/1.20 | singleton(member_of(singleton(Y))) = singleton(Y) ) ).
% 1.08/1.20
% 1.08/1.20 cnf(member_exists3,axiom,
% 1.08/1.20 ( member(member_of(X),universal_class)
% 1.08/1.20 | member_of(X) = X ) ).
% 1.08/1.20
% 1.08/1.20 cnf(member_exists4,axiom,
% 1.08/1.20 ( singleton(member_of(X)) = X
% 1.08/1.20 | member_of(X) = X ) ).
% 1.08/1.20
% 1.08/1.20 %----(SS7): uniqueness of memb of a singleton set.
% 1.08/1.20 %----a:x:a:u:(((u e universal_class) & x = {u}) ==> member_of(x) = u)
% 1.08/1.20 cnf(member_of_singleton_is_unique,axiom,
% 1.08/1.20 ( ~ member(U,universal_class)
% 1.08/1.20 | member_of(singleton(U)) = U ) ).
% 1.08/1.20
% 1.08/1.20 %----(SS8): uniqueness of memb when x is not a singleton of a set.
% 1.08/1.20 %----a:x:a:u:((e:y:((y e universal_class) & x = {y})
% 1.08/1.20 %----& u = x) | member_of(x) = u)
% 1.08/1.20 cnf(member_of_non_singleton_unique1,axiom,
% 1.08/1.20 ( member(member_of1(X),universal_class)
% 1.08/1.20 | member_of(X) = X ) ).
% 1.08/1.20
% 1.08/1.20 cnf(member_of_non_singleton_unique2,axiom,
% 1.08/1.20 ( singleton(member_of1(X)) = X
% 1.08/1.20 | member_of(X) = X ) ).
% 1.08/1.20
% 1.08/1.20 %----(SS9): corollary to (SS1).
% 1.08/1.20 cnf(corollary_2_to_singletons_are_sets,axiom,
% 1.08/1.20 ( singleton(member_of(X)) != X
% 1.08/1.20 | member(X,universal_class) ) ).
% 1.08/1.20
% 1.08/1.20 %----(SS10).
% 1.08/1.20 cnf(property_of_singletons1,axiom,
% 1.08/1.20 ( singleton(member_of(X)) != X
% 1.08/1.20 | ~ member(Y,X)
% 1.08/1.20 | member_of(X) = Y ) ).
% 1.08/1.20
% 1.08/1.20 %----(SS11).
% 1.08/1.20 cnf(property_of_singletons2,axiom,
% 1.08/1.20 ( ~ member(X,Y)
% 1.08/1.20 | subclass(singleton(X),Y) ) ).
% 1.08/1.20
% 1.08/1.20 cnf(prove_two_subsets_of_singleton_1,negated_conjecture,
% 1.08/1.20 subclass(x,singleton(y)) ).
% 1.08/1.20
% 1.08/1.20 cnf(prove_two_subsets_of_singleton_2,negated_conjecture,
% 1.08/1.20 x != null_class ).
% 1.08/1.20
% 1.08/1.20 cnf(prove_two_subsets_of_singleton_3,negated_conjecture,
% 1.08/1.20 singleton(y) != x ).
% 1.08/1.20
% 1.08/1.20 %------------------------------------------------------------------------------
% 1.08/1.20 %-------------------------------------------
% 1.08/1.20 % Proof found
% 1.08/1.20 % SZS status Theorem for theBenchmark
% 1.08/1.20 % SZS output start Proof
% 1.08/1.20 %ClaNum:171(EqnAxiom:44)
% 1.08/1.20 %VarNum:948(SingletonVarNum:235)
% 1.08/1.20 %MaxLitNum:5
% 1.08/1.20 %MaxfuncDepth:24
% 1.08/1.20 %SharedTerms:38
% 1.08/1.21 %goalClause: 55 69 70
% 1.08/1.21 %singleGoalClaCount:3
% 1.08/1.21 [45]P1(a1)
% 1.08/1.21 [46]P2(a2)
% 1.08/1.21 [47]P5(a4,a19)
% 1.08/1.21 [48]P5(a1,a19)
% 1.08/1.21 [69]~E(a26,a4)
% 1.08/1.21 [53]P6(a5,f6(a19,a19))
% 1.08/1.21 [54]P6(a20,f6(a19,a19))
% 1.08/1.21 [55]P6(a26,f25(a27,a27))
% 1.08/1.21 [56]P5(a4,f25(a4,a4))
% 1.08/1.21 [70]~E(f25(a27,a27),a26)
% 1.08/1.21 [65]E(f10(f9(f11(f6(a23,a19))),a23),a13)
% 1.08/1.21 [67]E(f10(f6(a19,a19),f10(f6(a19,a19),f8(f7(f8(a5),f9(f11(f6(a5,a19))))))),a23)
% 1.08/1.21 [49]P6(x491,a19)
% 1.08/1.21 [50]P6(a4,x501)
% 1.08/1.21 [51]P6(x511,x511)
% 1.08/1.21 [71]~P5(x711,a4)
% 1.08/1.21 [63]P6(f21(x631),f6(f6(a19,a19),a19))
% 1.08/1.21 [64]P6(f11(x641),f6(f6(a19,a19),a19))
% 1.08/1.21 [68]E(f10(f9(x681),f8(f9(f10(f7(f9(f11(f6(a5,a19))),x681),a13)))),f3(x681))
% 1.08/1.21 [52]E(f25(x521,x522),f25(x522,x521))
% 1.08/1.21 [57]P5(f25(x571,x572),a19)
% 1.08/1.21 [59]P6(f7(x591,x592),f6(a19,a19))
% 1.08/1.21 [60]P6(f25(x601,x601),f25(x602,x601))
% 1.08/1.21 [61]P6(f25(x611,x611),f25(x611,x612))
% 1.08/1.21 [66]P5(f25(x661,x661),f25(x662,f25(x661,x661)))
% 1.08/1.21 [72]~P5(x721,f10(f8(x722),x722))
% 1.08/1.21 [62]E(f10(f6(x621,x622),x623),f10(x623,f6(x621,x622)))
% 1.08/1.21 [73]~P7(x731)+P2(x731)
% 1.08/1.21 [74]~P8(x741)+P2(x741)
% 1.08/1.21 [77]~P1(x771)+P6(a1,x771)
% 1.08/1.21 [78]~P1(x781)+P5(a4,x781)
% 1.08/1.21 [79]~P6(x791,a4)+E(x791,a4)
% 1.08/1.21 [81]P5(f22(x811),x811)+E(x811,a4)
% 1.08/1.21 [82]E(f14(x821),x821)+P5(f14(x821),a19)
% 1.08/1.21 [83]E(f14(x831),x831)+P5(f15(x831),a19)
% 1.08/1.21 [84]P5(x841,a19)+E(f25(x841,x841),a4)
% 1.08/1.21 [87]E(x871,a4)+P5(f16(x871,a4),x871)
% 1.08/1.21 [91]~P2(x911)+P6(x911,f6(a19,a19))
% 1.08/1.21 [80]E(x801,a4)+E(f10(x801,f22(x801)),a4)
% 1.08/1.21 [85]E(f14(x851),x851)+E(f25(f14(x851),f14(x851)),x851)
% 1.08/1.21 [86]E(f14(x861),x861)+E(f25(f15(x861),f15(x861)),x861)
% 1.08/1.21 [96]~P5(x961,a19)+E(f14(f25(x961,x961)),x961)
% 1.08/1.21 [100]P5(x1001,a19)+~E(f25(f14(x1001),f14(x1001)),x1001)
% 1.08/1.21 [123]~P5(x1231,a19)+P5(f14(f25(x1231,x1231)),a19)
% 1.08/1.21 [106]~P8(x1061)+E(f6(f9(f9(x1061)),f9(f9(x1061))),f9(x1061))
% 1.08/1.21 [127]~P7(x1271)+P2(f9(f11(f6(x1271,a19))))
% 1.08/1.21 [131]~P5(x1311,a19)+E(f25(f14(f25(x1311,x1311)),f14(f25(x1311,x1311))),f25(x1311,x1311))
% 1.08/1.21 [133]~P5(x1331,a19)+P5(f9(f10(a5,f6(a19,x1331))),a19)
% 1.08/1.21 [135]~P9(x1351)+P6(f7(x1351,f9(f11(f6(x1351,a19)))),a13)
% 1.08/1.21 [136]~P2(x1361)+P6(f7(x1361,f9(f11(f6(x1361,a19)))),a13)
% 1.08/1.21 [137]~P8(x1371)+P6(f9(f9(f11(f6(x1371,a19)))),f9(f9(x1371)))
% 1.08/1.21 [142]P9(x1421)+~P6(f7(x1421,f9(f11(f6(x1421,a19)))),a13)
% 1.08/1.21 [158]~P1(x1581)+P6(f9(f9(f11(f6(f10(a20,f6(x1581,a19)),a19)))),x1581)
% 1.08/1.21 [162]~P5(x1621,a19)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1621),a19)),a19))))),a19)
% 1.08/1.21 [75]~E(x752,x751)+P6(x751,x752)
% 1.08/1.21 [76]~E(x761,x762)+P6(x761,x762)
% 1.08/1.21 [89]P5(x892,a19)+E(f25(x891,x892),f25(x891,x891))
% 1.08/1.21 [90]P5(x901,a19)+E(f25(x901,x902),f25(x902,x902))
% 1.08/1.21 [92]~P5(x922,a19)+~E(f25(x921,x922),a4)
% 1.08/1.21 [93]~P5(x931,a19)+~E(f25(x931,x932),a4)
% 1.08/1.21 [97]P6(x971,x972)+P5(f16(x971,x972),x971)
% 1.08/1.21 [98]~P5(x981,x982)+~P5(x981,f8(x982))
% 1.08/1.21 [103]~P5(x1031,a19)+P5(x1031,f25(x1032,x1031))
% 1.08/1.21 [104]~P5(x1041,a19)+P5(x1041,f25(x1041,x1042))
% 1.08/1.21 [107]~P5(x1071,x1072)+P6(f25(x1071,x1071),x1072)
% 1.08/1.21 [108]E(x1081,x1082)+~P5(x1081,f25(x1082,x1082))
% 1.08/1.21 [116]P6(x1161,x1162)+~P5(f16(x1161,x1162),x1162)
% 1.08/1.21 [132]~P5(x1322,f9(x1321))+~E(f10(x1321,f6(f25(x1322,x1322),a19)),a4)
% 1.08/1.21 [141]P5(x1411,x1412)+~P5(f25(f25(x1411,x1411),f25(x1411,f25(x1412,x1412))),a5)
% 1.08/1.21 [155]~P5(f25(f25(x1551,x1551),f25(x1551,f25(x1552,x1552))),a20)+E(f8(f10(f8(x1551),f8(f25(x1551,x1551)))),x1552)
% 1.08/1.21 [120]P2(x1201)+~P3(x1201,x1202,x1203)
% 1.08/1.21 [121]P8(x1211)+~P4(x1212,x1213,x1211)
% 1.08/1.21 [122]P8(x1221)+~P4(x1222,x1221,x1223)
% 1.08/1.21 [130]~P4(x1301,x1302,x1303)+P3(x1301,x1302,x1303)
% 1.08/1.21 [114]P5(x1141,x1142)+~P5(x1141,f10(x1143,x1142))
% 1.08/1.21 [115]P5(x1151,x1152)+~P5(x1151,f10(x1152,x1153))
% 1.08/1.21 [124]~P3(x1242,x1241,x1243)+E(f9(f9(x1241)),f9(x1242))
% 1.08/1.21 [138]~P5(x1381,f6(x1382,x1383))+E(f25(f25(f12(x1381),f12(x1381)),f25(f12(x1381),f25(f24(x1381),f24(x1381)))),x1381)
% 1.08/1.21 [140]~P3(x1401,x1403,x1402)+P6(f9(f9(f11(f6(x1401,a19)))),f9(f9(x1402)))
% 1.08/1.21 [143]P5(x1431,a19)+~P5(f25(f25(x1432,x1432),f25(x1432,f25(x1431,x1431))),f6(x1433,x1434))
% 1.08/1.21 [144]P5(x1441,a19)+~P5(f25(f25(x1441,x1441),f25(x1441,f25(x1442,x1442))),f6(x1443,x1444))
% 1.08/1.21 [145]P5(x1451,x1452)+~P5(f25(f25(x1453,x1453),f25(x1453,f25(x1451,x1451))),f6(x1454,x1452))
% 1.08/1.21 [146]P5(x1461,x1462)+~P5(f25(f25(x1461,x1461),f25(x1461,f25(x1463,x1463))),f6(x1462,x1464))
% 1.08/1.21 [147]~E(f25(x1471,x1472),a4)+~P5(f25(f25(x1471,x1471),f25(x1471,f25(x1472,x1472))),f6(x1473,x1474))
% 1.08/1.21 [151]P5(x1511,f25(x1512,x1511))+~P5(f25(f25(x1512,x1512),f25(x1512,f25(x1511,x1511))),f6(x1513,x1514))
% 1.08/1.21 [152]P5(x1521,f25(x1521,x1522))+~P5(f25(f25(x1521,x1521),f25(x1521,f25(x1522,x1522))),f6(x1523,x1524))
% 1.08/1.21 [163]~P5(f25(f25(f25(f25(x1633,x1633),f25(x1633,f25(x1631,x1631))),f25(f25(x1633,x1633),f25(x1633,f25(x1631,x1631)))),f25(f25(f25(x1633,x1633),f25(x1633,f25(x1631,x1631))),f25(x1632,x1632))),f21(x1634))+P5(f25(f25(f25(f25(x1631,x1631),f25(x1631,f25(x1632,x1632))),f25(f25(x1631,x1631),f25(x1631,f25(x1632,x1632)))),f25(f25(f25(x1631,x1631),f25(x1631,f25(x1632,x1632))),f25(x1633,x1633))),x1634)
% 1.08/1.21 [164]~P5(f25(f25(f25(f25(x1642,x1642),f25(x1642,f25(x1641,x1641))),f25(f25(x1642,x1642),f25(x1642,f25(x1641,x1641)))),f25(f25(f25(x1642,x1642),f25(x1642,f25(x1641,x1641))),f25(x1643,x1643))),f11(x1644))+P5(f25(f25(f25(f25(x1641,x1641),f25(x1641,f25(x1642,x1642))),f25(f25(x1641,x1641),f25(x1641,f25(x1642,x1642)))),f25(f25(f25(x1641,x1641),f25(x1641,f25(x1642,x1642))),f25(x1643,x1643))),x1644)
% 1.08/1.21 [168]~P5(f25(f25(x1684,x1684),f25(x1684,f25(x1681,x1681))),f7(x1682,x1683))+P5(x1681,f9(f9(f11(f6(f10(x1682,f6(f9(f9(f11(f6(f10(x1683,f6(f25(x1684,x1684),a19)),a19)))),a19)),a19)))))
% 1.08/1.21 [134]~P2(x1341)+P7(x1341)+~P2(f9(f11(f6(x1341,a19))))
% 1.08/1.21 [148]P2(x1481)+~P6(x1481,f6(a19,a19))+~P6(f7(x1481,f9(f11(f6(x1481,a19)))),a13)
% 1.08/1.21 [160]P1(x1601)+~P5(a4,x1601)+~P6(f9(f9(f11(f6(f10(a20,f6(x1601,a19)),a19)))),x1601)
% 1.08/1.21 [167]~P5(x1671,a19)+E(x1671,a4)+P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(x1671,x1671),a19)),a19))))))),x1671)
% 1.08/1.21 [95]~P6(x952,x951)+~P6(x951,x952)+E(x951,x952)
% 1.08/1.21 [88]P5(x882,a19)+P5(x881,a19)+E(f25(x881,x882),a4)
% 1.08/1.21 [99]P5(x991,x992)+P5(x991,f8(x992))+~P5(x991,a19)
% 1.08/1.21 [109]E(x1091,x1092)+~E(f25(x1091,x1091),f25(x1092,x1092))+~P5(x1092,a19)
% 1.08/1.21 [110]E(x1101,x1102)+~E(f25(x1101,x1101),f25(x1102,x1102))+~P5(x1101,a19)
% 1.08/1.21 [117]E(x1171,x1172)+P5(f16(x1172,x1171),x1172)+P5(f16(x1171,x1172),x1171)
% 1.08/1.21 [126]E(x1261,x1262)+P5(f16(x1262,x1261),x1262)+~P5(f16(x1261,x1262),x1262)
% 1.08/1.21 [128]E(x1281,x1282)+~P5(f16(x1282,x1281),x1281)+~P5(f16(x1281,x1282),x1282)
% 1.08/1.21 [113]~P5(x1132,x1131)+E(f14(x1131),x1132)+~E(f25(f14(x1131),f14(x1131)),x1131)
% 1.08/1.21 [129]P5(x1292,f9(x1291))+~P5(x1292,a19)+E(f10(x1291,f6(f25(x1292,x1292),a19)),a4)
% 1.08/1.21 [156]~P5(x1561,x1562)+~P5(f25(f25(x1561,x1561),f25(x1561,f25(x1562,x1562))),f6(a19,a19))+P5(f25(f25(x1561,x1561),f25(x1561,f25(x1562,x1562))),a5)
% 1.08/1.21 [157]~P5(f25(f25(x1571,x1571),f25(x1571,f25(x1572,x1572))),f6(a19,a19))+~E(f8(f10(f8(x1571),f8(f25(x1571,x1571)))),x1572)+P5(f25(f25(x1571,x1571),f25(x1571,f25(x1572,x1572))),a20)
% 1.08/1.21 [159]~P2(x1591)+~P5(x1592,a19)+P5(f9(f9(f11(f6(f10(x1591,f6(x1592,a19)),a19)))),a19)
% 1.08/1.21 [101]~P6(x1011,x1013)+P6(x1011,x1012)+~P6(x1013,x1012)
% 1.08/1.21 [102]~P5(x1021,x1023)+P5(x1021,x1022)+~P6(x1023,x1022)
% 1.08/1.21 [111]E(x1111,x1112)+E(x1111,x1113)+~P5(x1111,f25(x1113,x1112))
% 1.08/1.21 [118]~P5(x1181,x1183)+~P5(x1181,x1182)+P5(x1181,f10(x1182,x1183))
% 1.08/1.21 [119]~P5(x1192,x1193)+~P5(x1191,x1193)+P6(f25(x1191,x1192),x1193)
% 1.08/1.21 [149]E(x1491,x1492)+~E(f25(x1493,x1491),f25(x1493,x1492))+~P5(f25(f25(x1491,x1491),f25(x1491,f25(x1492,x1492))),f6(a19,a19))
% 1.08/1.21 [150]E(x1501,x1502)+~E(f25(x1501,x1503),f25(x1502,x1503))+~P5(f25(f25(x1501,x1501),f25(x1501,f25(x1502,x1502))),f6(a19,a19))
% 1.08/1.21 [139]~P5(x1392,x1394)+~P5(x1391,x1393)+P5(f25(f25(x1391,x1391),f25(x1391,f25(x1392,x1392))),f6(x1393,x1394))
% 1.08/1.21 [165]~P5(f25(f25(f25(f25(x1652,x1652),f25(x1652,f25(x1653,x1653))),f25(f25(x1652,x1652),f25(x1652,f25(x1653,x1653)))),f25(f25(f25(x1652,x1652),f25(x1652,f25(x1653,x1653))),f25(x1651,x1651))),x1654)+P5(f25(f25(f25(f25(x1651,x1651),f25(x1651,f25(x1652,x1652))),f25(f25(x1651,x1651),f25(x1651,f25(x1652,x1652)))),f25(f25(f25(x1651,x1651),f25(x1651,f25(x1652,x1652))),f25(x1653,x1653))),f21(x1654))+~P5(f25(f25(f25(f25(x1651,x1651),f25(x1651,f25(x1652,x1652))),f25(f25(x1651,x1651),f25(x1651,f25(x1652,x1652)))),f25(f25(f25(x1651,x1651),f25(x1651,f25(x1652,x1652))),f25(x1653,x1653))),f6(f6(a19,a19),a19))
% 1.08/1.21 [166]~P5(f25(f25(f25(f25(x1662,x1662),f25(x1662,f25(x1661,x1661))),f25(f25(x1662,x1662),f25(x1662,f25(x1661,x1661)))),f25(f25(f25(x1662,x1662),f25(x1662,f25(x1661,x1661))),f25(x1663,x1663))),x1664)+P5(f25(f25(f25(f25(x1661,x1661),f25(x1661,f25(x1662,x1662))),f25(f25(x1661,x1661),f25(x1661,f25(x1662,x1662)))),f25(f25(f25(x1661,x1661),f25(x1661,f25(x1662,x1662))),f25(x1663,x1663))),f11(x1664))+~P5(f25(f25(f25(f25(x1661,x1661),f25(x1661,f25(x1662,x1662))),f25(f25(x1661,x1661),f25(x1661,f25(x1662,x1662)))),f25(f25(f25(x1661,x1661),f25(x1661,f25(x1662,x1662))),f25(x1663,x1663))),f6(f6(a19,a19),a19))
% 1.08/1.21 [169]P5(f25(f25(x1691,x1691),f25(x1691,f25(x1692,x1692))),f7(x1693,x1694))+~P5(f25(f25(x1691,x1691),f25(x1691,f25(x1692,x1692))),f6(a19,a19))+~P5(x1692,f9(f9(f11(f6(f10(x1693,f6(f9(f9(f11(f6(f10(x1694,f6(f25(x1691,x1691),a19)),a19)))),a19)),a19)))))
% 1.08/1.21 [170]~P4(x1702,x1705,x1701)+~P5(f25(f25(x1703,x1703),f25(x1703,f25(x1704,x1704))),f9(x1705))+E(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1701,f6(f25(f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1703,x1703),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1703,x1703),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1703,x1703),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1704,x1704),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1704,x1704),a19)),a19)))))))))),f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1703,x1703),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1703,x1703),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1703,x1703),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1704,x1704),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(x1704,x1704),a19)),a19))))))))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1702,f6(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1705,f6(f25(f25(f25(x1703,x1703),f25(x1703,f25(x1704,x1704))),f25(f25(x1703,x1703),f25(x1703,f25(x1704,x1704)))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1705,f6(f25(f25(f25(x1703,x1703),f25(x1703,f25(x1704,x1704))),f25(f25(x1703,x1703),f25(x1703,f25(x1704,x1704)))),a19)),a19)))))))),a19)),a19))))))))
% 1.08/1.21 [154]~P2(x1541)+P8(x1541)+~E(f6(f9(f9(x1541)),f9(f9(x1541))),f9(x1541))+~P6(f9(f9(f11(f6(x1541,a19)))),f9(f9(x1541)))
% 1.08/1.21 [112]E(x1121,x1122)+E(x1123,x1122)+~E(f25(x1123,x1121),f25(x1122,x1122))+~P5(x1122,a19)
% 1.08/1.21 [153]~P2(x1531)+P3(x1531,x1532,x1533)+~E(f9(f9(x1532)),f9(x1531))+~P6(f9(f9(f11(f6(x1531,a19)))),f9(f9(x1533)))
% 1.08/1.21 [161]~P8(x1613)+~P8(x1612)+~P3(x1611,x1612,x1613)+P4(x1611,x1612,x1613)+P5(f25(f25(f17(x1611,x1612,x1613),f17(x1611,x1612,x1613)),f25(f17(x1611,x1612,x1613),f25(f18(x1611,x1612,x1613),f18(x1611,x1612,x1613)))),f9(x1612))
% 1.08/1.21 [171]~P8(x1713)+~P8(x1712)+~P3(x1711,x1712,x1713)+P4(x1711,x1712,x1713)+~E(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1713,f6(f25(f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f18(x1711,x1712,x1713),f18(x1711,x1712,x1713)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f18(x1711,x1712,x1713),f18(x1711,x1712,x1713)),a19)),a19)))))))))),f25(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),a19)),a19)))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),a19)),a19))))))),f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f18(x1711,x1712,x1713),f18(x1711,x1712,x1713)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f18(x1711,x1712,x1713),f18(x1711,x1712,x1713)),a19)),a19))))))))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1711,f6(f25(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1712,f6(f25(f25(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),f25(f17(x1711,x1712,x1713),f25(f18(x1711,x1712,x1713),f18(x1711,x1712,x1713)))),f25(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),f25(f17(x1711,x1712,x1713),f25(f18(x1711,x1712,x1713),f18(x1711,x1712,x1713))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1712,f6(f25(f25(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),f25(f17(x1711,x1712,x1713),f25(f18(x1711,x1712,x1713),f18(x1711,x1712,x1713)))),f25(f25(f17(x1711,x1712,x1713),f17(x1711,x1712,x1713)),f25(f17(x1711,x1712,x1713),f25(f18(x1711,x1712,x1713),f18(x1711,x1712,x1713))))),a19)),a19)))))))),a19)),a19))))))))
% 1.08/1.21 %EqnAxiom
% 1.08/1.21 [1]E(x11,x11)
% 1.08/1.21 [2]E(x22,x21)+~E(x21,x22)
% 1.08/1.21 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.08/1.21 [4]~E(x41,x42)+E(f25(x41,x43),f25(x42,x43))
% 1.08/1.21 [5]~E(x51,x52)+E(f25(x53,x51),f25(x53,x52))
% 1.08/1.21 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 1.08/1.21 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 1.08/1.21 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 1.08/1.21 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93))
% 1.08/1.21 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102))
% 1.08/1.21 [11]~E(x111,x112)+E(f17(x111,x113,x114),f17(x112,x113,x114))
% 1.08/1.21 [12]~E(x121,x122)+E(f17(x123,x121,x124),f17(x123,x122,x124))
% 1.08/1.21 [13]~E(x131,x132)+E(f17(x133,x134,x131),f17(x133,x134,x132))
% 1.08/1.21 [14]~E(x141,x142)+E(f12(x141),f12(x142))
% 1.08/1.21 [15]~E(x151,x152)+E(f11(x151),f11(x152))
% 1.08/1.21 [16]~E(x161,x162)+E(f18(x161,x163,x164),f18(x162,x163,x164))
% 1.08/1.21 [17]~E(x171,x172)+E(f18(x173,x171,x174),f18(x173,x172,x174))
% 1.08/1.21 [18]~E(x181,x182)+E(f18(x183,x184,x181),f18(x183,x184,x182))
% 1.08/1.21 [19]~E(x191,x192)+E(f7(x191,x193),f7(x192,x193))
% 1.08/1.21 [20]~E(x201,x202)+E(f7(x203,x201),f7(x203,x202))
% 1.08/1.21 [21]~E(x211,x212)+E(f14(x211),f14(x212))
% 1.08/1.21 [22]~E(x221,x222)+E(f15(x221),f15(x222))
% 1.08/1.21 [23]~E(x231,x232)+E(f16(x231,x233),f16(x232,x233))
% 1.08/1.21 [24]~E(x241,x242)+E(f16(x243,x241),f16(x243,x242))
% 1.08/1.21 [25]~E(x251,x252)+E(f8(x251),f8(x252))
% 1.08/1.21 [26]~E(x261,x262)+E(f21(x261),f21(x262))
% 1.08/1.21 [27]~E(x271,x272)+E(f22(x271),f22(x272))
% 1.08/1.21 [28]~E(x281,x282)+E(f24(x281),f24(x282))
% 1.08/1.21 [29]~E(x291,x292)+E(f3(x291),f3(x292))
% 1.08/1.21 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 1.08/1.21 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 1.20/1.21 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 1.20/1.21 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 1.20/1.21 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 1.20/1.21 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 1.20/1.21 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 1.20/1.21 [37]P6(x372,x373)+~E(x371,x372)+~P6(x371,x373)
% 1.20/1.21 [38]P6(x383,x382)+~E(x381,x382)+~P6(x383,x381)
% 1.20/1.21 [39]P4(x392,x393,x394)+~E(x391,x392)+~P4(x391,x393,x394)
% 1.20/1.21 [40]P4(x403,x402,x404)+~E(x401,x402)+~P4(x403,x401,x404)
% 1.20/1.21 [41]P4(x413,x414,x412)+~E(x411,x412)+~P4(x413,x414,x411)
% 1.20/1.21 [42]~P8(x421)+P8(x422)+~E(x421,x422)
% 1.20/1.21 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 1.20/1.21 [44]~P7(x441)+P7(x442)+~E(x441,x442)
% 1.20/1.21
% 1.20/1.21 %-------------------------------------------
% 1.20/1.21 cnf(172,plain,
% 1.20/1.21 (E(a13,f10(f9(f11(f6(a23,a19))),a23))),
% 1.20/1.21 inference(scs_inference,[],[65,2])).
% 1.20/1.21 cnf(173,plain,
% 1.20/1.21 (~P6(a26,a4)),
% 1.20/1.21 inference(scs_inference,[],[69,65,2,79])).
% 1.20/1.21 cnf(175,plain,
% 1.20/1.21 (~P1(a4)),
% 1.20/1.21 inference(scs_inference,[],[71,69,65,2,79,78])).
% 1.20/1.21 cnf(176,plain,
% 1.20/1.21 (~P5(x1761,a4)),
% 1.20/1.21 inference(rename_variables,[],[71])).
% 1.20/1.21 cnf(180,plain,
% 1.20/1.21 (E(f10(f8(x1801),x1801),a4)),
% 1.20/1.21 inference(scs_inference,[],[71,69,65,72,2,79,78,75,87])).
% 1.20/1.21 cnf(181,plain,
% 1.20/1.21 (~P5(x1811,f10(f8(x1812),x1812))),
% 1.20/1.21 inference(rename_variables,[],[72])).
% 1.20/1.21 cnf(185,plain,
% 1.20/1.21 (P6(f10(f8(x1851),x1851),x1852)),
% 1.20/1.21 inference(scs_inference,[],[71,69,65,72,181,2,79,78,75,87,81,97])).
% 1.20/1.21 cnf(186,plain,
% 1.20/1.21 (~P5(x1861,f10(f8(x1862),x1862))),
% 1.20/1.21 inference(rename_variables,[],[72])).
% 1.20/1.22 cnf(191,plain,
% 1.20/1.22 (~P5(x1911,a4)),
% 1.20/1.22 inference(rename_variables,[],[71])).
% 1.20/1.22 cnf(194,plain,
% 1.20/1.22 (~P5(x1941,a4)),
% 1.20/1.22 inference(rename_variables,[],[71])).
% 1.20/1.22 cnf(196,plain,
% 1.20/1.22 (~E(f25(a27,a27),a4)),
% 1.20/1.22 inference(scs_inference,[],[55,71,176,191,69,65,72,181,2,79,78,75,87,81,97,132,164,163,38])).
% 1.20/1.22 cnf(197,plain,
% 1.20/1.22 (~E(f10(f8(x1971),x1971),a26)),
% 1.20/1.22 inference(scs_inference,[],[55,71,176,191,69,65,72,181,2,79,78,75,87,81,97,132,164,163,38,37])).
% 1.20/1.22 cnf(198,plain,
% 1.20/1.22 (~E(a19,a4)),
% 1.20/1.22 inference(scs_inference,[],[55,71,176,191,194,69,47,65,72,181,2,79,78,75,87,81,97,132,164,163,38,37,33])).
% 1.20/1.22 cnf(199,plain,
% 1.20/1.22 (~P5(x1991,a4)),
% 1.20/1.22 inference(rename_variables,[],[71])).
% 1.20/1.22 cnf(200,plain,
% 1.20/1.22 (~P1(f10(f8(f6(f25(x2001,x2001),a19)),f6(f25(x2001,x2001),a19)))),
% 1.20/1.22 inference(scs_inference,[],[55,71,176,191,194,69,47,65,72,181,2,79,78,75,87,81,97,132,164,163,38,37,33,30])).
% 1.20/1.22 cnf(208,plain,
% 1.20/1.22 (~P5(x2081,f10(f8(x2082),x2082))),
% 1.20/1.22 inference(rename_variables,[],[72])).
% 1.20/1.22 cnf(210,plain,
% 1.20/1.22 (E(f22(a26),a27)),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,69,47,65,72,181,186,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111])).
% 1.20/1.22 cnf(216,plain,
% 1.20/1.22 (~P5(x2161,a4)),
% 1.20/1.22 inference(rename_variables,[],[71])).
% 1.20/1.22 cnf(228,plain,
% 1.20/1.22 (~P5(x2281,f10(a4,x2282))),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115])).
% 1.20/1.22 cnf(230,plain,
% 1.20/1.22 (~P5(x2301,f10(x2302,a4))),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114])).
% 1.20/1.22 cnf(238,plain,
% 1.20/1.22 (~E(f25(a4,x2381),a4)),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93])).
% 1.20/1.22 cnf(242,plain,
% 1.20/1.22 (E(f3(f10(f9(f11(f6(a23,a19))),a23)),f3(a13))),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29])).
% 1.20/1.22 cnf(274,plain,
% 1.20/1.22 (P6(f25(f22(a26),f22(a26)),a26)),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107])).
% 1.20/1.22 cnf(276,plain,
% 1.20/1.22 (E(f14(f25(a4,a4)),a4)),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96])).
% 1.20/1.22 cnf(286,plain,
% 1.20/1.22 (E(f25(f14(f25(a4,a4)),f14(f25(a4,a4))),f25(a4,a4))),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96,80,145,146,141,131])).
% 1.20/1.22 cnf(290,plain,
% 1.20/1.22 (~P6(f25(a27,a27),a4)),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96,80,145,146,141,131,32,31,101])).
% 1.20/1.22 cnf(292,plain,
% 1.20/1.22 (~P6(f25(a27,a27),a26)),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,70,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96,80,145,146,141,131,32,31,101,95])).
% 1.20/1.22 cnf(299,plain,
% 1.20/1.22 (P6(f25(f22(a26),f22(a26)),f25(a27,a27))),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,70,65,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96,80,145,146,141,131,32,31,101,95,99,159,119])).
% 1.20/1.22 cnf(301,plain,
% 1.20/1.22 (P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f25(f25(a27,a27),f25(a27,a27)),a19)),a19))))))),f25(a27,a27))),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,70,65,57,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96,80,145,146,141,131,32,31,101,95,99,159,119,167])).
% 1.20/1.22 cnf(302,plain,
% 1.20/1.22 (P5(f25(x3021,x3022),a19)),
% 1.20/1.22 inference(rename_variables,[],[57])).
% 1.20/1.22 cnf(306,plain,
% 1.20/1.22 (~E(f25(a26,a26),f25(a4,a4))),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,70,65,57,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96,80,145,146,141,131,32,31,101,95,99,159,119,167,110,109])).
% 1.20/1.22 cnf(308,plain,
% 1.20/1.22 (P5(f25(f25(a4,a4),f25(a4,f25(a4,a4))),f6(a19,a19))),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,70,65,57,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96,80,145,146,141,131,32,31,101,95,99,159,119,167,110,109,139])).
% 1.20/1.22 cnf(310,plain,
% 1.20/1.22 (~E(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a26,a26),f25(a26,a26)))),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,70,65,57,302,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96,80,145,146,141,131,32,31,101,95,99,159,119,167,110,109,139,112])).
% 1.20/1.22 cnf(313,plain,
% 1.20/1.22 (P9(a2)),
% 1.20/1.22 inference(scs_inference,[],[55,49,71,176,191,194,199,216,69,45,46,47,48,70,65,57,302,72,181,186,208,2,79,78,75,87,81,97,132,164,163,38,37,33,30,3,102,160,118,111,88,117,76,91,162,158,133,115,114,104,103,98,93,92,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,123,108,107,96,80,145,146,141,131,32,31,101,95,99,159,119,167,110,109,139,112,142])).
% 1.20/1.22 cnf(338,plain,
% 1.20/1.22 (E(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))))))),f25(f25(a4,a4),f25(a4,f25(a4,a4))))),
% 1.20/1.22 inference(scs_inference,[],[308,138])).
% 1.20/1.22 cnf(353,plain,
% 1.20/1.22 (~P5(x3531,f10(f8(x3532),x3532))),
% 1.20/1.22 inference(rename_variables,[],[72])).
% 1.20/1.22 cnf(359,plain,
% 1.20/1.22 (~P5(x3591,f10(f6(x3592,x3593),f8(f6(x3592,x3593))))),
% 1.20/1.22 inference(scs_inference,[],[67,62,45,72,353,48,70,46,69,308,301,197,292,138,116,78,75,87,159,111,117,107,108,33])).
% 1.20/1.22 cnf(362,plain,
% 1.20/1.22 (~E(a1,f10(f8(f6(f25(x3621,x3621),a19)),f6(f25(x3621,x3621),a19)))),
% 1.20/1.22 inference(scs_inference,[],[67,62,45,72,353,48,70,46,69,308,200,301,197,292,138,116,78,75,87,159,111,117,107,108,33,30])).
% 1.20/1.22 cnf(363,plain,
% 1.20/1.22 (~E(a26,f10(f8(x3631),x3631))),
% 1.20/1.22 inference(scs_inference,[],[67,62,45,72,353,48,70,46,69,308,200,301,180,197,292,138,116,78,75,87,159,111,117,107,108,33,30,3])).
% 1.20/1.22 cnf(365,plain,
% 1.20/1.22 (~P5(x3651,a4)),
% 1.20/1.22 inference(rename_variables,[],[71])).
% 1.20/1.22 cnf(372,plain,
% 1.20/1.22 (P5(f25(x3721,x3721),f10(f25(x3722,f25(x3721,x3721)),f25(x3722,f25(x3721,x3721))))),
% 1.20/1.22 inference(scs_inference,[],[67,62,66,71,365,45,72,353,48,70,46,69,308,200,301,180,197,292,138,116,78,75,87,159,111,117,107,108,33,30,3,102,99,119,118])).
% 1.20/1.22 cnf(375,plain,
% 1.20/1.22 (P5(f25(x3751,x3752),a19)),
% 1.20/1.22 inference(rename_variables,[],[57])).
% 1.20/1.22 cnf(377,plain,
% 1.20/1.22 (~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))))),
% 1.20/1.22 inference(scs_inference,[],[67,62,66,71,365,45,72,353,48,57,375,70,46,69,310,308,200,301,180,197,292,138,116,78,75,87,159,111,117,107,108,33,30,3,102,99,119,118,110,109])).
% 1.20/1.22 cnf(378,plain,
% 1.20/1.22 (P5(f25(x3781,x3782),a19)),
% 1.20/1.22 inference(rename_variables,[],[57])).
% 1.20/1.22 cnf(383,plain,
% 1.20/1.22 (~E(f25(x3831,f25(x3832,x3832)),a4)),
% 1.20/1.22 inference(scs_inference,[],[67,62,66,71,365,45,72,353,48,57,375,378,70,46,69,310,308,200,306,301,180,197,292,138,116,78,75,87,159,111,117,107,108,33,30,3,102,99,119,118,110,109,112,76])).
% 1.20/1.22 cnf(394,plain,
% 1.20/1.22 (~P6(f25(f25(f14(f25(a4,a4)),f14(f25(a4,a4))),x3941),a4)),
% 1.20/1.22 inference(scs_inference,[],[67,52,62,66,71,365,45,72,353,48,57,375,378,70,46,69,310,308,286,200,306,228,301,173,180,197,290,292,138,116,78,75,87,159,111,117,107,108,33,30,3,102,99,119,118,110,109,112,76,81,97,38,2,32,37])).
% 1.20/1.22 cnf(397,plain,
% 1.20/1.22 (~P6(f25(a27,a27),f25(f22(a26),f22(a26)))),
% 1.20/1.22 inference(scs_inference,[],[67,52,62,66,71,365,45,72,353,48,57,375,378,70,46,69,310,308,286,200,306,228,301,173,274,180,197,290,292,313,138,116,78,75,87,159,111,117,107,108,33,30,3,102,99,119,118,110,109,112,76,81,97,38,2,32,37,43,101])).
% 1.20/1.22 cnf(418,plain,
% 1.20/1.22 (~P1(f10(f8(x4181),x4181))),
% 1.20/1.22 inference(scs_inference,[],[72,78])).
% 1.20/1.22 cnf(424,plain,
% 1.20/1.22 (~P5(x4241,f10(f6(x4242,x4243),f8(f6(x4242,x4243))))),
% 1.20/1.22 inference(rename_variables,[],[359])).
% 1.20/1.22 cnf(426,plain,
% 1.20/1.22 (P5(f16(f25(x4261,f25(x4262,x4262)),a4),f25(x4261,f25(x4262,x4262)))),
% 1.20/1.22 inference(scs_inference,[],[71,72,359,397,383,78,75,87,117])).
% 1.20/1.22 cnf(429,plain,
% 1.20/1.22 (P6(f25(f25(x4291,x4291),f25(x4291,x4291)),f10(f25(x4292,f25(x4291,x4291)),f25(x4292,f25(x4291,x4291))))),
% 1.20/1.22 inference(scs_inference,[],[71,72,372,359,397,383,78,75,87,117,107])).
% 1.20/1.22 cnf(435,plain,
% 1.20/1.22 (~P6(f25(x4351,a27),f25(f22(a26),f22(a26)))),
% 1.20/1.22 inference(scs_inference,[],[60,71,72,372,359,377,397,363,383,78,75,87,117,107,111,108,101])).
% 1.20/1.22 cnf(438,plain,
% 1.20/1.22 (~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)))))),
% 1.20/1.22 inference(scs_inference,[],[60,71,72,57,372,359,377,397,363,383,78,75,87,117,107,111,108,101,112])).
% 1.20/1.22 cnf(441,plain,
% 1.20/1.22 (P6(f10(f6(x4411,x4412),f8(f6(x4411,x4412))),x4413)),
% 1.20/1.22 inference(scs_inference,[],[60,71,72,57,372,359,424,377,397,363,383,78,75,87,117,107,111,108,101,112,97])).
% 1.20/1.22 cnf(442,plain,
% 1.20/1.22 (~P5(x4421,f10(f6(x4422,x4423),f8(f6(x4422,x4423))))),
% 1.20/1.22 inference(rename_variables,[],[359])).
% 1.20/1.22 cnf(447,plain,
% 1.20/1.22 (E(f10(f9(x4471),f8(f9(f10(f7(f9(f11(f6(a5,a19))),x4471),a13)))),f3(x4471))),
% 1.20/1.22 inference(rename_variables,[],[68])).
% 1.20/1.22 cnf(448,plain,
% 1.20/1.22 (P5(f22(f25(a27,a27)),f25(a27,a27))),
% 1.20/1.22 inference(scs_inference,[],[172,68,60,71,72,57,372,359,424,377,397,196,242,363,383,78,75,87,117,107,111,108,101,112,97,76,3,81])).
% 1.20/1.22 cnf(450,plain,
% 1.20/1.22 (P5(f25(x4501,x4501),f25(f25(x4501,x4501),x4502))),
% 1.20/1.22 inference(scs_inference,[],[172,68,60,52,71,72,57,66,372,359,424,377,397,196,242,363,383,78,75,87,117,107,111,108,101,112,97,76,3,81,33])).
% 1.20/1.22 cnf(454,plain,
% 1.20/1.22 (~P5(f25(f25(a4,a4),f25(a4,f25(a4,a4))),f8(f6(a19,a19)))),
% 1.20/1.22 inference(scs_inference,[],[172,68,60,52,71,72,57,66,372,359,424,442,377,397,196,242,363,383,308,78,75,87,117,107,111,108,101,112,97,76,3,81,33,119,118])).
% 1.20/1.22 cnf(462,plain,
% 1.20/1.22 (~E(f25(f25(f25(a26,a26),f25(a26,a26)),f25(f25(a26,a26),f25(a26,a26))),f25(f25(f25(a4,a4),f25(a4,a4)),f25(f25(a4,a4),f25(a4,a4))))),
% 1.20/1.22 inference(scs_inference,[],[172,68,447,60,52,51,71,72,57,66,372,359,424,442,377,397,276,196,242,363,383,175,308,78,75,87,117,107,111,108,101,112,97,76,3,81,33,119,118,6,30,37,2,32])).
% 1.20/1.22 cnf(483,plain,
% 1.20/1.22 (~P5(x4831,a4)),
% 1.20/1.22 inference(rename_variables,[],[71])).
% 1.20/1.22 cnf(486,plain,
% 1.20/1.22 (P6(f25(x4861,x4861),f25(x4861,x4862))),
% 1.20/1.22 inference(rename_variables,[],[61])).
% 1.20/1.22 cnf(492,plain,
% 1.20/1.22 (P5(f25(x4921,x4922),a19)),
% 1.20/1.22 inference(rename_variables,[],[57])).
% 1.20/1.22 cnf(509,plain,
% 1.20/1.22 (P6(f25(x5091,x5091),f25(x5091,x5092))),
% 1.20/1.22 inference(rename_variables,[],[61])).
% 1.20/1.22 cnf(510,plain,
% 1.20/1.22 (~E(f25(f25(x5101,x5101),x5102),a4)),
% 1.20/1.22 inference(scs_inference,[],[61,486,62,71,483,57,450,448,338,426,435,362,198,299,238,185,230,87,117,101,75,167,76,95,97,111,108,119,38,33])).
% 1.20/1.22 cnf(516,plain,
% 1.20/1.22 (E(f10(f6(x5161,x5162),x5163),f10(x5163,f6(x5161,x5162)))),
% 1.20/1.22 inference(rename_variables,[],[62])).
% 1.20/1.22 cnf(517,plain,
% 1.20/1.22 (~E(f25(f22(a26),f22(a26)),f25(x5171,a27))),
% 1.20/1.22 inference(scs_inference,[],[61,486,509,62,71,483,72,57,492,450,448,338,426,435,362,198,299,238,185,230,87,117,101,75,167,76,95,97,111,108,119,38,33,118,3,37])).
% 1.20/1.22 cnf(522,plain,
% 1.20/1.22 (~E(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(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)))))),
% 1.20/1.22 inference(scs_inference,[],[61,486,509,62,516,71,483,72,57,492,450,418,448,438,338,426,435,362,198,299,238,185,230,87,117,101,75,167,76,95,97,111,108,119,38,33,118,3,37,30,2])).
% 1.20/1.22 cnf(523,plain,
% 1.20/1.22 (~P5(f25(f25(a4,f25(a4,a4)),f25(a4,a4)),f8(f6(a19,a19)))),
% 1.20/1.22 inference(scs_inference,[],[61,486,509,62,516,52,71,483,72,57,492,450,418,448,438,454,338,426,435,362,198,299,238,185,230,87,117,101,75,167,76,95,97,111,108,119,38,33,118,3,37,30,2,32])).
% 1.20/1.22 cnf(526,plain,
% 1.20/1.22 (~P5(a4,f6(x5261,x5262))),
% 1.20/1.22 inference(scs_inference,[],[61,486,509,62,516,52,71,483,72,57,492,450,418,448,438,454,338,426,435,362,198,299,238,185,230,87,117,101,75,167,76,95,97,111,108,119,38,33,118,3,37,30,2,32,5,138])).
% 1.20/1.22 cnf(528,plain,
% 1.20/1.22 (P5(f25(f25(a4,f25(a4,a4)),f25(a4,a4)),f6(a19,a19))),
% 1.20/1.22 inference(scs_inference,[],[61,486,509,62,516,52,71,483,72,57,492,450,418,448,438,454,338,426,435,362,198,299,238,185,230,87,117,101,75,167,76,95,97,111,108,119,38,33,118,3,37,30,2,32,5,138,99])).
% 1.20/1.22 cnf(543,plain,
% 1.20/1.22 (P5(f25(x5431,x5432),a19)),
% 1.20/1.22 inference(rename_variables,[],[57])).
% 1.20/1.22 cnf(551,plain,
% 1.20/1.22 (P6(f10(f6(x5511,x5512),f8(f6(x5511,x5512))),x5513)),
% 1.20/1.22 inference(rename_variables,[],[441])).
% 1.20/1.22 cnf(554,plain,
% 1.20/1.22 (~P5(x5541,a4)),
% 1.20/1.22 inference(rename_variables,[],[71])).
% 1.20/1.22 cnf(575,plain,
% 1.20/1.22 (~E(f10(f25(x5751,f25(f14(f25(a4,a4)),f14(f25(a4,a4)))),f25(x5751,f25(f14(f25(a4,a4)),f14(f25(a4,a4))))),a4)),
% 1.20/1.22 inference(scs_inference,[],[64,173,68,50,71,554,57,543,429,441,551,522,462,528,523,510,526,394,228,138,5,102,167,75,97,101,99,117,111,108,76,119,95,118,33,38])).
% 1.20/1.22 cnf(662,plain,
% 1.20/1.22 (~P5(x6621,a4)),
% 1.20/1.22 inference(rename_variables,[],[71])).
% 1.20/1.22 cnf(672,plain,
% 1.20/1.22 ($false),
% 1.20/1.22 inference(scs_inference,[],[52,48,71,662,72,517,210,575,102,75,99,117,5]),
% 1.20/1.22 ['proof']).
% 1.20/1.22 % SZS output end Proof
% 1.20/1.22 % Total time :0.490000s
%------------------------------------------------------------------------------