%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET094-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 : Mon Jun 24 14:20:40 EDT 2024
% Result : Unsatisfiable 0.63s 0.84s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET094-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n029.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 : Sun Jun 23 11:32:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.47/0.63 start to proof:theBenchmark
% 0.63/0.82 %-------------------------------------------
% 0.63/0.82 % File :CSE---1.7
% 0.63/0.82 % Problem :theBenchmark
% 0.63/0.82 % Transform :cnf
% 0.63/0.82 % Format :tptp:raw
% 0.63/0.82 % Command :java -jar mcs_scs.jar %d %s
% 0.63/0.82
% 0.63/0.82 % Result :Theorem 0.120000s
% 0.63/0.82 % Output :CNFRefutation 0.120000s
% 0.63/0.82 %-------------------------------------------
% 0.63/0.83 %--------------------------------------------------------------------------
% 0.63/0.83 % File : SET094-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.63/0.83 % Domain : Set Theory
% 0.63/0.83 % Problem : Property 1 of singleton sets
% 0.63/0.83 % Version : [Qua92] axioms : Augmented.
% 0.63/0.83 % English :
% 0.63/0.83
% 0.63/0.83 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.63/0.83 % Source : [Quaife]
% 0.63/0.83 % Names : SS10 [Qua92]
% 0.63/0.83
% 0.63/0.83 % Status : Unsatisfiable
% 0.63/0.83 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.18 v4.0.0, 0.36 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.18 v2.4.0, 0.00 v2.1.0
% 0.63/0.83 % Syntax : Number of clauses : 140 ( 43 unt; 21 nHn; 94 RR)
% 0.63/0.83 % Number of literals : 278 ( 77 equ; 124 neg)
% 0.63/0.83 % Maximal clause size : 5 ( 1 avg)
% 0.63/0.83 % Maximal term depth : 6 ( 1 avg)
% 0.63/0.83 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.63/0.83 % Number of functors : 42 ( 42 usr; 10 con; 0-3 aty)
% 0.63/0.83 % Number of variables : 262 ( 46 sgn)
% 0.63/0.83 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.63/0.83
% 0.63/0.83 % Comments : Preceding lemmas are added.
% 0.63/0.83 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.63/0.83 %--------------------------------------------------------------------------
% 0.63/0.83 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.63/0.83 include('Axioms/SET004-0.ax').
% 0.63/0.83 %--------------------------------------------------------------------------
% 0.63/0.83 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 0.63/0.83 cnf(corollary_1_to_unordered_pair,axiom,
% 0.63/0.83 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.63/0.83 | member(X,unordered_pair(X,Y)) ) ).
% 0.63/0.83
% 0.63/0.83 cnf(corollary_2_to_unordered_pair,axiom,
% 0.63/0.83 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.63/0.83 | member(Y,unordered_pair(X,Y)) ) ).
% 0.63/0.83
% 0.63/0.83 %----Corollaries to Cartesian product axiom.
% 0.63/0.83 cnf(corollary_1_to_cartesian_product,axiom,
% 0.63/0.83 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.63/0.83 | member(U,universal_class) ) ).
% 0.63/0.83
% 0.63/0.83 cnf(corollary_2_to_cartesian_product,axiom,
% 0.63/0.83 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.63/0.83 | member(V,universal_class) ) ).
% 0.63/0.83
% 0.63/0.83 %---- PARTIAL ORDER,
% 0.63/0.83 %----(PO1): reflexive.
% 0.63/0.83 cnf(subclass_is_reflexive,axiom,
% 0.63/0.83 subclass(X,X) ).
% 0.63/0.83
% 0.63/0.83 %----(PO2): antisymmetry is part of A-3.
% 0.63/0.83 %----(x < y), (y < x) --> (x = y).
% 0.63/0.83
% 0.63/0.83 %----(PO3): transitivity.
% 0.63/0.83 cnf(transitivity_of_subclass,axiom,
% 0.63/0.83 ( ~ subclass(X,Y)
% 0.63/0.83 | ~ subclass(Y,Z)
% 0.63/0.83 | subclass(X,Z) ) ).
% 0.63/0.83
% 0.63/0.83 %---- EQUALITY.
% 0.63/0.83 %----(EQ1): equality axiom.
% 0.63/0.83 %----a:x:(x = x).
% 0.63/0.83 %----This is always an axiom in the TPTP presentation.
% 0.63/0.83
% 0.63/0.83 %----(EQ2): expanded equality definition.
% 0.63/0.83 cnf(equality1,axiom,
% 0.63/0.83 ( X = Y
% 0.63/0.83 | member(not_subclass_element(X,Y),X)
% 0.63/0.83 | member(not_subclass_element(Y,X),Y) ) ).
% 0.63/0.83
% 0.63/0.83 cnf(equality2,axiom,
% 0.63/0.83 ( ~ member(not_subclass_element(X,Y),Y)
% 0.63/0.83 | X = Y
% 0.63/0.83 | member(not_subclass_element(Y,X),Y) ) ).
% 0.63/0.83
% 0.63/0.83 cnf(equality3,axiom,
% 0.63/0.83 ( ~ member(not_subclass_element(Y,X),X)
% 0.63/0.83 | X = Y
% 0.63/0.83 | member(not_subclass_element(X,Y),X) ) ).
% 0.63/0.83
% 0.63/0.83 cnf(equality4,axiom,
% 0.63/0.83 ( ~ member(not_subclass_element(X,Y),Y)
% 0.63/0.83 | ~ member(not_subclass_element(Y,X),X)
% 0.63/0.83 | X = Y ) ).
% 0.63/0.83
% 0.63/0.83 %---- SPECIAL CLASSES.
% 0.63/0.83 %----(SP1): lemma.
% 0.63/0.83 cnf(special_classes_lemma,axiom,
% 0.63/0.83 ~ member(Y,intersection(complement(X),X)) ).
% 0.63/0.83
% 0.63/0.83 %----(SP2): Existence of O (null class).
% 0.63/0.83 %----e:x:a:z:(-(z e x)).
% 0.63/0.83 cnf(existence_of_null_class,axiom,
% 0.63/0.83 ~ member(Z,null_class) ).
% 0.63/0.83
% 0.63/0.83 %----(SP3): O is a subclass of every class.
% 0.63/0.83 cnf(null_class_is_subclass,axiom,
% 0.63/0.83 subclass(null_class,X) ).
% 0.63/0.83
% 0.63/0.83 %----corollary.
% 0.63/0.83 cnf(corollary_of_null_class_is_subclass,axiom,
% 0.63/0.83 ( ~ subclass(X,null_class)
% 0.63/0.83 | X = null_class ) ).
% 0.63/0.83
% 0.63/0.83 %----(SP4): uniqueness of null class.
% 0.63/0.83 cnf(null_class_is_unique,axiom,
% 0.63/0.83 ( Z = null_class
% 0.63/0.83 | member(not_subclass_element(Z,null_class),Z) ) ).
% 0.63/0.83
% 0.63/0.83 %----(SP5): O is a set (follows from axiom of infinity).
% 0.63/0.83 cnf(null_class_is_a_set,axiom,
% 0.63/0.83 member(null_class,universal_class) ).
% 0.63/0.83
% 0.63/0.83 %---- UNORDERED PAIRS.
% 0.63/0.83 %----(UP1): unordered pair is commutative.
% 0.63/0.83 cnf(commutativity_of_unordered_pair,axiom,
% 0.63/0.83 unordered_pair(X,Y) = unordered_pair(Y,X) ).
% 0.63/0.83
% 0.63/0.83 %----(UP2): if one argument is a proper class, pair contains only the
% 0.63/0.83 %----other. In a slightly different form to the paper
% 0.63/0.83 cnf(singleton_in_unordered_pair1,axiom,
% 0.63/0.83 subclass(singleton(X),unordered_pair(X,Y)) ).
% 0.63/0.83
% 0.63/0.83 cnf(singleton_in_unordered_pair2,axiom,
% 0.63/0.83 subclass(singleton(Y),unordered_pair(X,Y)) ).
% 0.63/0.83
% 0.63/0.83 cnf(unordered_pair_equals_singleton1,axiom,
% 0.63/0.83 ( member(Y,universal_class)
% 0.63/0.83 | unordered_pair(X,Y) = singleton(X) ) ).
% 0.63/0.83
% 0.63/0.83 cnf(unordered_pair_equals_singleton2,axiom,
% 0.63/0.83 ( member(X,universal_class)
% 0.63/0.83 | unordered_pair(X,Y) = singleton(Y) ) ).
% 0.63/0.83
% 0.63/0.83 %----(UP3): if both arguments are proper classes, pair is null.
% 0.63/0.83 cnf(null_unordered_pair,axiom,
% 0.63/0.83 ( unordered_pair(X,Y) = null_class
% 0.63/0.83 | member(X,universal_class)
% 0.63/0.83 | member(Y,universal_class) ) ).
% 0.63/0.83
% 0.63/0.83 %----(UP4): left cancellation for unordered pairs.
% 0.63/0.83 cnf(left_cancellation,axiom,
% 0.63/0.83 ( unordered_pair(X,Y) != unordered_pair(X,Z)
% 0.63/0.83 | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 0.63/0.83 | Y = Z ) ).
% 0.63/0.83
% 0.63/0.83 %----(UP5): right cancellation for unordered pairs.
% 0.63/0.83 cnf(right_cancellation,axiom,
% 0.63/0.83 ( unordered_pair(X,Z) != unordered_pair(Y,Z)
% 0.63/0.83 | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
% 0.63/0.83 | X = Y ) ).
% 0.63/0.83
% 0.63/0.83 %----(UP6): corollary to (A-4).
% 0.63/0.83 cnf(corollary_to_unordered_pair_axiom1,axiom,
% 0.63/0.83 ( ~ member(X,universal_class)
% 0.63/0.83 | unordered_pair(X,Y) != null_class ) ).
% 0.63/0.83
% 0.63/0.83 cnf(corollary_to_unordered_pair_axiom2,axiom,
% 0.63/0.83 ( ~ member(Y,universal_class)
% 0.63/0.83 | unordered_pair(X,Y) != null_class ) ).
% 0.63/0.83
% 0.63/0.83 %----corollary to instantiate variables.
% 0.63/0.83 %----Not in the paper
% 0.63/0.83 cnf(corollary_to_unordered_pair_axiom3,axiom,
% 0.63/0.83 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.63/0.83 | unordered_pair(X,Y) != null_class ) ).
% 0.63/0.83
% 0.63/0.83 %----(UP7): if both members of a pair belong to a set, the pair
% 0.63/0.83 %----is a subset.
% 0.63/0.83 cnf(unordered_pair_is_subset,axiom,
% 0.63/0.83 ( ~ member(X,Z)
% 0.63/0.83 | ~ member(Y,Z)
% 0.63/0.83 | subclass(unordered_pair(X,Y),Z) ) ).
% 0.63/0.83
% 0.63/0.83 %---- SINGLETONS.
% 0.63/0.83 %----(SS1): every singleton is a set.
% 0.63/0.83 cnf(singletons_are_sets,axiom,
% 0.63/0.83 member(singleton(X),universal_class) ).
% 0.63/0.83
% 0.63/0.83 %----corollary, not in the paper.
% 0.63/0.83 cnf(corollary_1_to_singletons_are_sets,axiom,
% 0.63/0.83 member(singleton(Y),unordered_pair(X,singleton(Y))) ).
% 0.63/0.83
% 0.63/0.83 %----(SS2): a set belongs to its singleton.
% 0.63/0.83 %----(u = x), (u e universal_class) --> (u e {x}).
% 0.63/0.83 cnf(set_in_its_singleton,axiom,
% 0.63/0.83 ( ~ member(X,universal_class)
% 0.63/0.83 | member(X,singleton(X)) ) ).
% 0.63/0.83
% 0.63/0.83 %----corollary
% 0.63/0.83 cnf(corollary_to_set_in_its_singleton,axiom,
% 0.63/0.83 ( ~ member(X,universal_class)
% 0.63/0.83 | singleton(X) != null_class ) ).
% 0.63/0.83
% 0.63/0.83 %----Not in the paper
% 0.63/0.83 cnf(null_class_in_its_singleton,axiom,
% 0.63/0.83 member(null_class,singleton(null_class)) ).
% 0.63/0.83
% 0.63/0.83 %----(SS3): only x can belong to {x}.
% 0.63/0.83 cnf(only_member_in_singleton,axiom,
% 0.63/0.83 ( ~ member(Y,singleton(X))
% 0.63/0.83 | Y = X ) ).
% 0.63/0.83
% 0.63/0.83 %----(SS4): if x is not a set, {x} = O.
% 0.63/0.83 cnf(singleton_is_null_class,axiom,
% 0.63/0.83 ( member(X,universal_class)
% 0.63/0.83 | singleton(X) = null_class ) ).
% 0.63/0.83
% 0.63/0.83 %----(SS5): a singleton set is determined by its element.
% 0.63/0.83 cnf(singleton_identified_by_element1,axiom,
% 0.63/0.83 ( singleton(X) != singleton(Y)
% 0.63/0.83 | ~ member(X,universal_class)
% 0.63/0.83 | X = Y ) ).
% 0.63/0.83
% 0.63/0.83 cnf(singleton_identified_by_element2,axiom,
% 0.63/0.83 ( singleton(X) != singleton(Y)
% 0.63/0.83 | ~ member(Y,universal_class)
% 0.63/0.83 | X = Y ) ).
% 0.63/0.83
% 0.63/0.83 %----(SS5.5).
% 0.63/0.83 %----Not in the paper
% 0.63/0.83 cnf(singleton_in_unordered_pair3,axiom,
% 0.63/0.83 ( unordered_pair(Y,Z) != singleton(X)
% 0.63/0.83 | ~ member(X,universal_class)
% 0.63/0.83 | X = Y
% 0.63/0.83 | X = Z ) ).
% 0.63/0.83
% 0.63/0.83 %----(SS6): existence of memb.
% 0.63/0.84 %----a:x:e:u:(((u e universal_class) & x = {u}) | (-e:y:((y
% 0.63/0.84 %----e universal_class) & x = {y}) & u = x)).
% 0.63/0.84 cnf(member_exists1,axiom,
% 0.63/0.84 ( ~ member(Y,universal_class)
% 0.63/0.84 | member(member_of(singleton(Y)),universal_class) ) ).
% 0.63/0.84
% 0.63/0.84 cnf(member_exists2,axiom,
% 0.63/0.84 ( ~ member(Y,universal_class)
% 0.63/0.84 | singleton(member_of(singleton(Y))) = singleton(Y) ) ).
% 0.63/0.84
% 0.63/0.84 cnf(member_exists3,axiom,
% 0.63/0.84 ( member(member_of(X),universal_class)
% 0.63/0.84 | member_of(X) = X ) ).
% 0.63/0.84
% 0.63/0.84 cnf(member_exists4,axiom,
% 0.63/0.84 ( singleton(member_of(X)) = X
% 0.63/0.84 | member_of(X) = X ) ).
% 0.63/0.84
% 0.63/0.84 %----(SS7): uniqueness of memb of a singleton set.
% 0.63/0.84 %----a:x:a:u:(((u e universal_class) & x = {u}) ==> member_of(x) = u)
% 0.63/0.84 cnf(member_of_singleton_is_unique,axiom,
% 0.63/0.84 ( ~ member(U,universal_class)
% 0.63/0.84 | member_of(singleton(U)) = U ) ).
% 0.63/0.84
% 0.63/0.84 %----(SS8): uniqueness of memb when x is not a singleton of a set.
% 0.63/0.84 %----a:x:a:u:((e:y:((y e universal_class) & x = {y})
% 0.63/0.84 %----& u = x) | member_of(x) = u)
% 0.63/0.84 cnf(member_of_non_singleton_unique1,axiom,
% 0.63/0.84 ( member(member_of1(X),universal_class)
% 0.63/0.84 | member_of(X) = X ) ).
% 0.63/0.84
% 0.63/0.84 cnf(member_of_non_singleton_unique2,axiom,
% 0.63/0.84 ( singleton(member_of1(X)) = X
% 0.63/0.84 | member_of(X) = X ) ).
% 0.63/0.84
% 0.63/0.84 %----(SS9): corollary to (SS1).
% 0.63/0.84 cnf(corollary_2_to_singletons_are_sets,axiom,
% 0.63/0.84 ( singleton(member_of(X)) != X
% 0.63/0.84 | member(X,universal_class) ) ).
% 0.63/0.84
% 0.63/0.84 cnf(prove_property_of_singletons1_1,negated_conjecture,
% 0.63/0.84 singleton(member_of(x)) = x ).
% 0.63/0.84
% 0.63/0.84 cnf(prove_property_of_singletons1_2,negated_conjecture,
% 0.63/0.84 member(y,x) ).
% 0.63/0.84
% 0.63/0.84 cnf(prove_property_of_singletons1_3,negated_conjecture,
% 0.63/0.84 member_of(x) != y ).
% 0.63/0.84
% 0.63/0.84 %--------------------------------------------------------------------------
% 0.63/0.84 %-------------------------------------------
% 0.63/0.84 % Proof found
% 0.63/0.84 % SZS status Theorem for theBenchmark
% 0.63/0.84 % SZS output start Proof
% 0.63/0.84 %ClaNum:169(EqnAxiom:44)
% 0.63/0.84 %VarNum:936(SingletonVarNum:231)
% 0.63/0.84 %MaxLitNum:5
% 0.63/0.84 %MaxfuncDepth:24
% 0.63/0.84 %SharedTerms:39
% 0.63/0.84 %goalClause: 49 53 70
% 0.63/0.84 %singleGoalClaCount:3
% 0.63/0.84 [45]P1(a1)
% 0.63/0.84 [46]P2(a2)
% 0.63/0.84 [47]P5(a4,a19)
% 0.63/0.84 [48]P5(a1,a19)
% 0.63/0.84 [49]P5(a25,a26)
% 0.63/0.84 [55]P6(a6,f7(a19,a19))
% 0.63/0.84 [56]P6(a20,f7(a19,a19))
% 0.63/0.84 [57]P5(a4,f27(a4,a4))
% 0.63/0.84 [70]~E(f5(a26),a25)
% 0.63/0.84 [53]E(f27(f5(a26),f5(a26)),a26)
% 0.63/0.84 [66]E(f11(f10(f12(f7(a23,a19))),a23),a14)
% 0.63/0.84 [68]E(f11(f7(a19,a19),f11(f7(a19,a19),f9(f8(f9(a6),f10(f12(f7(a6,a19))))))),a23)
% 0.63/0.84 [50]P6(x501,a19)
% 0.63/0.84 [51]P6(a4,x511)
% 0.63/0.84 [52]P6(x521,x521)
% 0.63/0.84 [71]~P5(x711,a4)
% 0.63/0.84 [64]P6(f21(x641),f7(f7(a19,a19),a19))
% 0.63/0.84 [65]P6(f12(x651),f7(f7(a19,a19),a19))
% 0.63/0.84 [69]E(f11(f10(x691),f9(f10(f11(f8(f10(f12(f7(a6,a19))),x691),a14)))),f3(x691))
% 0.63/0.84 [54]E(f27(x541,x542),f27(x542,x541))
% 0.63/0.84 [58]P5(f27(x581,x582),a19)
% 0.63/0.84 [60]P6(f8(x601,x602),f7(a19,a19))
% 0.63/0.84 [61]P6(f27(x611,x611),f27(x612,x611))
% 0.63/0.84 [62]P6(f27(x621,x621),f27(x621,x622))
% 0.63/0.84 [67]P5(f27(x671,x671),f27(x672,f27(x671,x671)))
% 0.63/0.84 [72]~P5(x721,f11(f9(x722),x722))
% 0.63/0.84 [63]E(f11(f7(x631,x632),x633),f11(x633,f7(x631,x632)))
% 0.63/0.84 [73]~P7(x731)+P2(x731)
% 0.63/0.84 [74]~P8(x741)+P2(x741)
% 0.63/0.84 [77]~P1(x771)+P6(a1,x771)
% 0.63/0.84 [78]~P1(x781)+P5(a4,x781)
% 0.63/0.84 [79]~P6(x791,a4)+E(x791,a4)
% 0.63/0.84 [81]P5(f22(x811),x811)+E(x811,a4)
% 0.63/0.84 [82]E(f5(x821),x821)+P5(f5(x821),a19)
% 0.63/0.84 [83]E(f5(x831),x831)+P5(f15(x831),a19)
% 0.63/0.84 [84]P5(x841,a19)+E(f27(x841,x841),a4)
% 0.63/0.84 [87]E(x871,a4)+P5(f16(x871,a4),x871)
% 0.63/0.84 [91]~P2(x911)+P6(x911,f7(a19,a19))
% 0.63/0.84 [80]E(x801,a4)+E(f11(x801,f22(x801)),a4)
% 0.63/0.84 [85]E(f5(x851),x851)+E(f27(f5(x851),f5(x851)),x851)
% 0.63/0.84 [86]E(f5(x861),x861)+E(f27(f15(x861),f15(x861)),x861)
% 0.63/0.84 [96]~P5(x961,a19)+E(f5(f27(x961,x961)),x961)
% 0.63/0.84 [100]P5(x1001,a19)+~E(f27(f5(x1001),f5(x1001)),x1001)
% 0.63/0.84 [121]~P5(x1211,a19)+P5(f5(f27(x1211,x1211)),a19)
% 0.63/0.84 [106]~P8(x1061)+E(f7(f10(f10(x1061)),f10(f10(x1061))),f10(x1061))
% 0.63/0.84 [125]~P7(x1251)+P2(f10(f12(f7(x1251,a19))))
% 0.63/0.84 [129]~P5(x1291,a19)+E(f27(f5(f27(x1291,x1291)),f5(f27(x1291,x1291))),f27(x1291,x1291))
% 0.63/0.84 [131]~P5(x1311,a19)+P5(f10(f11(a6,f7(a19,x1311))),a19)
% 0.63/0.84 [133]~P9(x1331)+P6(f8(x1331,f10(f12(f7(x1331,a19)))),a14)
% 0.63/0.84 [134]~P2(x1341)+P6(f8(x1341,f10(f12(f7(x1341,a19)))),a14)
% 0.63/0.84 [135]~P8(x1351)+P6(f10(f10(f12(f7(x1351,a19)))),f10(f10(x1351)))
% 0.63/0.84 [140]P9(x1401)+~P6(f8(x1401,f10(f12(f7(x1401,a19)))),a14)
% 0.63/0.84 [156]~P1(x1561)+P6(f10(f10(f12(f7(f11(a20,f7(x1561,a19)),a19)))),x1561)
% 0.63/0.84 [160]~P5(x1601,a19)+P5(f9(f10(f10(f12(f7(f11(a6,f7(f9(x1601),a19)),a19))))),a19)
% 0.63/0.84 [75]~E(x752,x751)+P6(x751,x752)
% 0.63/0.84 [76]~E(x761,x762)+P6(x761,x762)
% 0.63/0.84 [89]P5(x892,a19)+E(f27(x891,x892),f27(x891,x891))
% 0.63/0.84 [90]P5(x901,a19)+E(f27(x901,x902),f27(x902,x902))
% 0.63/0.84 [92]~P5(x922,a19)+~E(f27(x921,x922),a4)
% 0.63/0.84 [93]~P5(x931,a19)+~E(f27(x931,x932),a4)
% 0.63/0.84 [97]P6(x971,x972)+P5(f16(x971,x972),x971)
% 0.63/0.84 [98]~P5(x981,x982)+~P5(x981,f9(x982))
% 0.63/0.84 [103]~P5(x1031,a19)+P5(x1031,f27(x1032,x1031))
% 0.63/0.84 [104]~P5(x1041,a19)+P5(x1041,f27(x1041,x1042))
% 0.63/0.84 [107]E(x1071,x1072)+~P5(x1071,f27(x1072,x1072))
% 0.63/0.84 [114]P6(x1141,x1142)+~P5(f16(x1141,x1142),x1142)
% 0.63/0.84 [130]~P5(x1302,f10(x1301))+~E(f11(x1301,f7(f27(x1302,x1302),a19)),a4)
% 0.63/0.84 [139]P5(x1391,x1392)+~P5(f27(f27(x1391,x1391),f27(x1391,f27(x1392,x1392))),a6)
% 0.63/0.84 [153]~P5(f27(f27(x1531,x1531),f27(x1531,f27(x1532,x1532))),a20)+E(f9(f11(f9(x1531),f9(f27(x1531,x1531)))),x1532)
% 0.63/0.84 [118]P2(x1181)+~P3(x1181,x1182,x1183)
% 0.63/0.84 [119]P8(x1191)+~P4(x1192,x1193,x1191)
% 0.63/0.84 [120]P8(x1201)+~P4(x1202,x1201,x1203)
% 0.63/0.84 [128]~P4(x1281,x1282,x1283)+P3(x1281,x1282,x1283)
% 0.63/0.84 [112]P5(x1121,x1122)+~P5(x1121,f11(x1123,x1122))
% 0.63/0.84 [113]P5(x1131,x1132)+~P5(x1131,f11(x1132,x1133))
% 0.63/0.84 [122]~P3(x1222,x1221,x1223)+E(f10(f10(x1221)),f10(x1222))
% 0.63/0.84 [136]~P5(x1361,f7(x1362,x1363))+E(f27(f27(f13(x1361),f13(x1361)),f27(f13(x1361),f27(f24(x1361),f24(x1361)))),x1361)
% 0.63/0.84 [138]~P3(x1381,x1383,x1382)+P6(f10(f10(f12(f7(x1381,a19)))),f10(f10(x1382)))
% 0.63/0.84 [141]P5(x1411,a19)+~P5(f27(f27(x1412,x1412),f27(x1412,f27(x1411,x1411))),f7(x1413,x1414))
% 0.63/0.84 [142]P5(x1421,a19)+~P5(f27(f27(x1421,x1421),f27(x1421,f27(x1422,x1422))),f7(x1423,x1424))
% 0.63/0.84 [143]P5(x1431,x1432)+~P5(f27(f27(x1433,x1433),f27(x1433,f27(x1431,x1431))),f7(x1434,x1432))
% 0.63/0.84 [144]P5(x1441,x1442)+~P5(f27(f27(x1441,x1441),f27(x1441,f27(x1443,x1443))),f7(x1442,x1444))
% 0.63/0.84 [145]~E(f27(x1451,x1452),a4)+~P5(f27(f27(x1451,x1451),f27(x1451,f27(x1452,x1452))),f7(x1453,x1454))
% 0.63/0.84 [149]P5(x1491,f27(x1492,x1491))+~P5(f27(f27(x1492,x1492),f27(x1492,f27(x1491,x1491))),f7(x1493,x1494))
% 0.63/0.84 [150]P5(x1501,f27(x1501,x1502))+~P5(f27(f27(x1501,x1501),f27(x1501,f27(x1502,x1502))),f7(x1503,x1504))
% 0.63/0.84 [161]~P5(f27(f27(f27(f27(x1613,x1613),f27(x1613,f27(x1611,x1611))),f27(f27(x1613,x1613),f27(x1613,f27(x1611,x1611)))),f27(f27(f27(x1613,x1613),f27(x1613,f27(x1611,x1611))),f27(x1612,x1612))),f21(x1614))+P5(f27(f27(f27(f27(x1611,x1611),f27(x1611,f27(x1612,x1612))),f27(f27(x1611,x1611),f27(x1611,f27(x1612,x1612)))),f27(f27(f27(x1611,x1611),f27(x1611,f27(x1612,x1612))),f27(x1613,x1613))),x1614)
% 0.63/0.84 [162]~P5(f27(f27(f27(f27(x1622,x1622),f27(x1622,f27(x1621,x1621))),f27(f27(x1622,x1622),f27(x1622,f27(x1621,x1621)))),f27(f27(f27(x1622,x1622),f27(x1622,f27(x1621,x1621))),f27(x1623,x1623))),f12(x1624))+P5(f27(f27(f27(f27(x1621,x1621),f27(x1621,f27(x1622,x1622))),f27(f27(x1621,x1621),f27(x1621,f27(x1622,x1622)))),f27(f27(f27(x1621,x1621),f27(x1621,f27(x1622,x1622))),f27(x1623,x1623))),x1624)
% 0.63/0.84 [166]~P5(f27(f27(x1664,x1664),f27(x1664,f27(x1661,x1661))),f8(x1662,x1663))+P5(x1661,f10(f10(f12(f7(f11(x1662,f7(f10(f10(f12(f7(f11(x1663,f7(f27(x1664,x1664),a19)),a19)))),a19)),a19)))))
% 0.63/0.84 [132]~P2(x1321)+P7(x1321)+~P2(f10(f12(f7(x1321,a19))))
% 0.63/0.84 [146]P2(x1461)+~P6(x1461,f7(a19,a19))+~P6(f8(x1461,f10(f12(f7(x1461,a19)))),a14)
% 0.63/0.84 [158]P1(x1581)+~P5(a4,x1581)+~P6(f10(f10(f12(f7(f11(a20,f7(x1581,a19)),a19)))),x1581)
% 0.63/0.84 [165]~P5(x1651,a19)+E(x1651,a4)+P5(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(a2,f7(f27(x1651,x1651),a19)),a19))))))),x1651)
% 0.63/0.84 [95]~P6(x952,x951)+~P6(x951,x952)+E(x951,x952)
% 0.63/0.84 [88]P5(x882,a19)+P5(x881,a19)+E(f27(x881,x882),a4)
% 0.63/0.84 [99]P5(x991,x992)+P5(x991,f9(x992))+~P5(x991,a19)
% 0.63/0.84 [108]E(x1081,x1082)+~E(f27(x1081,x1081),f27(x1082,x1082))+~P5(x1082,a19)
% 0.63/0.84 [109]E(x1091,x1092)+~E(f27(x1091,x1091),f27(x1092,x1092))+~P5(x1091,a19)
% 0.63/0.84 [115]E(x1151,x1152)+P5(f16(x1152,x1151),x1152)+P5(f16(x1151,x1152),x1151)
% 0.63/0.84 [124]E(x1241,x1242)+P5(f16(x1242,x1241),x1242)+~P5(f16(x1241,x1242),x1242)
% 0.63/0.84 [126]E(x1261,x1262)+~P5(f16(x1262,x1261),x1261)+~P5(f16(x1261,x1262),x1262)
% 0.63/0.84 [127]P5(x1272,f10(x1271))+~P5(x1272,a19)+E(f11(x1271,f7(f27(x1272,x1272),a19)),a4)
% 0.63/0.84 [154]~P5(x1541,x1542)+~P5(f27(f27(x1541,x1541),f27(x1541,f27(x1542,x1542))),f7(a19,a19))+P5(f27(f27(x1541,x1541),f27(x1541,f27(x1542,x1542))),a6)
% 0.63/0.84 [155]~P5(f27(f27(x1551,x1551),f27(x1551,f27(x1552,x1552))),f7(a19,a19))+~E(f9(f11(f9(x1551),f9(f27(x1551,x1551)))),x1552)+P5(f27(f27(x1551,x1551),f27(x1551,f27(x1552,x1552))),a20)
% 0.63/0.84 [157]~P2(x1571)+~P5(x1572,a19)+P5(f10(f10(f12(f7(f11(x1571,f7(x1572,a19)),a19)))),a19)
% 0.63/0.84 [101]~P6(x1011,x1013)+P6(x1011,x1012)+~P6(x1013,x1012)
% 0.63/0.84 [102]~P5(x1021,x1023)+P5(x1021,x1022)+~P6(x1023,x1022)
% 0.63/0.84 [110]E(x1101,x1102)+E(x1101,x1103)+~P5(x1101,f27(x1103,x1102))
% 0.63/0.84 [116]~P5(x1161,x1163)+~P5(x1161,x1162)+P5(x1161,f11(x1162,x1163))
% 0.63/0.84 [117]~P5(x1172,x1173)+~P5(x1171,x1173)+P6(f27(x1171,x1172),x1173)
% 0.63/0.84 [147]E(x1471,x1472)+~E(f27(x1473,x1471),f27(x1473,x1472))+~P5(f27(f27(x1471,x1471),f27(x1471,f27(x1472,x1472))),f7(a19,a19))
% 0.63/0.84 [148]E(x1481,x1482)+~E(f27(x1481,x1483),f27(x1482,x1483))+~P5(f27(f27(x1481,x1481),f27(x1481,f27(x1482,x1482))),f7(a19,a19))
% 0.63/0.84 [137]~P5(x1372,x1374)+~P5(x1371,x1373)+P5(f27(f27(x1371,x1371),f27(x1371,f27(x1372,x1372))),f7(x1373,x1374))
% 0.63/0.84 [163]~P5(f27(f27(f27(f27(x1632,x1632),f27(x1632,f27(x1633,x1633))),f27(f27(x1632,x1632),f27(x1632,f27(x1633,x1633)))),f27(f27(f27(x1632,x1632),f27(x1632,f27(x1633,x1633))),f27(x1631,x1631))),x1634)+P5(f27(f27(f27(f27(x1631,x1631),f27(x1631,f27(x1632,x1632))),f27(f27(x1631,x1631),f27(x1631,f27(x1632,x1632)))),f27(f27(f27(x1631,x1631),f27(x1631,f27(x1632,x1632))),f27(x1633,x1633))),f21(x1634))+~P5(f27(f27(f27(f27(x1631,x1631),f27(x1631,f27(x1632,x1632))),f27(f27(x1631,x1631),f27(x1631,f27(x1632,x1632)))),f27(f27(f27(x1631,x1631),f27(x1631,f27(x1632,x1632))),f27(x1633,x1633))),f7(f7(a19,a19),a19))
% 0.63/0.84 [164]~P5(f27(f27(f27(f27(x1642,x1642),f27(x1642,f27(x1641,x1641))),f27(f27(x1642,x1642),f27(x1642,f27(x1641,x1641)))),f27(f27(f27(x1642,x1642),f27(x1642,f27(x1641,x1641))),f27(x1643,x1643))),x1644)+P5(f27(f27(f27(f27(x1641,x1641),f27(x1641,f27(x1642,x1642))),f27(f27(x1641,x1641),f27(x1641,f27(x1642,x1642)))),f27(f27(f27(x1641,x1641),f27(x1641,f27(x1642,x1642))),f27(x1643,x1643))),f12(x1644))+~P5(f27(f27(f27(f27(x1641,x1641),f27(x1641,f27(x1642,x1642))),f27(f27(x1641,x1641),f27(x1641,f27(x1642,x1642)))),f27(f27(f27(x1641,x1641),f27(x1641,f27(x1642,x1642))),f27(x1643,x1643))),f7(f7(a19,a19),a19))
% 0.63/0.84 [167]P5(f27(f27(x1671,x1671),f27(x1671,f27(x1672,x1672))),f8(x1673,x1674))+~P5(f27(f27(x1671,x1671),f27(x1671,f27(x1672,x1672))),f7(a19,a19))+~P5(x1672,f10(f10(f12(f7(f11(x1673,f7(f10(f10(f12(f7(f11(x1674,f7(f27(x1671,x1671),a19)),a19)))),a19)),a19)))))
% 0.63/0.84 [168]~P4(x1682,x1685,x1681)+~P5(f27(f27(x1683,x1683),f27(x1683,f27(x1684,x1684))),f10(x1685))+E(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1681,f7(f27(f27(f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1683,x1683),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1683,x1683),a19)),a19)))))))),f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1683,x1683),a19)),a19))))))),f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1684,x1684),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1684,x1684),a19)),a19)))))))))),f27(f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1683,x1683),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1683,x1683),a19)),a19)))))))),f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1683,x1683),a19)),a19))))))),f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1684,x1684),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(x1684,x1684),a19)),a19))))))))))),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1682,f7(f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1685,f7(f27(f27(f27(x1683,x1683),f27(x1683,f27(x1684,x1684))),f27(f27(x1683,x1683),f27(x1683,f27(x1684,x1684)))),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1685,f7(f27(f27(f27(x1683,x1683),f27(x1683,f27(x1684,x1684))),f27(f27(x1683,x1683),f27(x1683,f27(x1684,x1684)))),a19)),a19)))))))),a19)),a19))))))))
% 0.63/0.84 [152]~P2(x1521)+P8(x1521)+~E(f7(f10(f10(x1521)),f10(f10(x1521))),f10(x1521))+~P6(f10(f10(f12(f7(x1521,a19)))),f10(f10(x1521)))
% 0.63/0.84 [111]E(x1111,x1112)+E(x1113,x1112)+~E(f27(x1113,x1111),f27(x1112,x1112))+~P5(x1112,a19)
% 0.63/0.84 [151]~P2(x1511)+P3(x1511,x1512,x1513)+~E(f10(f10(x1512)),f10(x1511))+~P6(f10(f10(f12(f7(x1511,a19)))),f10(f10(x1513)))
% 0.63/0.84 [159]~P8(x1593)+~P8(x1592)+~P3(x1591,x1592,x1593)+P4(x1591,x1592,x1593)+P5(f27(f27(f17(x1591,x1592,x1593),f17(x1591,x1592,x1593)),f27(f17(x1591,x1592,x1593),f27(f18(x1591,x1592,x1593),f18(x1591,x1592,x1593)))),f10(x1592))
% 0.63/0.84 [169]~P8(x1693)+~P8(x1692)+~P3(x1691,x1692,x1693)+P4(x1691,x1692,x1693)+~E(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1693,f7(f27(f27(f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19)))))))),f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19))))))),f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)),a19)),a19)))))))))),f27(f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19)))))))),f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19))))))),f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)),a19)),a19))))))))))),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1691,f7(f27(f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1692,f7(f27(f27(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),f27(f17(x1691,x1692,x1693),f27(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)))),f27(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),f27(f17(x1691,x1692,x1693),f27(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693))))),a19)),a19))))))),f10(f11(a6,f7(a19,f10(f10(f12(f7(f11(x1692,f7(f27(f27(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),f27(f17(x1691,x1692,x1693),f27(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)))),f27(f27(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),f27(f17(x1691,x1692,x1693),f27(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693))))),a19)),a19)))))))),a19)),a19))))))))
% 0.63/0.84 %EqnAxiom
% 0.63/0.84 [1]E(x11,x11)
% 0.63/0.84 [2]E(x22,x21)+~E(x21,x22)
% 0.63/0.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.63/0.84 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.63/0.84 [5]~E(x51,x52)+E(f10(x51),f10(x52))
% 0.63/0.84 [6]~E(x61,x62)+E(f27(x61,x63),f27(x62,x63))
% 0.63/0.84 [7]~E(x71,x72)+E(f27(x73,x71),f27(x73,x72))
% 0.63/0.84 [8]~E(x81,x82)+E(f18(x81,x83,x84),f18(x82,x83,x84))
% 0.63/0.84 [9]~E(x91,x92)+E(f18(x93,x91,x94),f18(x93,x92,x94))
% 0.63/0.84 [10]~E(x101,x102)+E(f18(x103,x104,x101),f18(x103,x104,x102))
% 0.63/0.84 [11]~E(x111,x112)+E(f12(x111),f12(x112))
% 0.63/0.84 [12]~E(x121,x122)+E(f7(x121,x123),f7(x122,x123))
% 0.63/0.84 [13]~E(x131,x132)+E(f7(x133,x131),f7(x133,x132))
% 0.63/0.84 [14]~E(x141,x142)+E(f11(x141,x143),f11(x142,x143))
% 0.63/0.84 [15]~E(x151,x152)+E(f11(x153,x151),f11(x153,x152))
% 0.63/0.84 [16]~E(x161,x162)+E(f13(x161),f13(x162))
% 0.63/0.84 [17]~E(x171,x172)+E(f17(x171,x173,x174),f17(x172,x173,x174))
% 0.63/0.84 [18]~E(x181,x182)+E(f17(x183,x181,x184),f17(x183,x182,x184))
% 0.63/0.84 [19]~E(x191,x192)+E(f17(x193,x194,x191),f17(x193,x194,x192))
% 0.63/0.84 [20]~E(x201,x202)+E(f21(x201),f21(x202))
% 0.63/0.84 [21]~E(x211,x212)+E(f8(x211,x213),f8(x212,x213))
% 0.63/0.84 [22]~E(x221,x222)+E(f8(x223,x221),f8(x223,x222))
% 0.63/0.84 [23]~E(x231,x232)+E(f24(x231),f24(x232))
% 0.63/0.84 [24]~E(x241,x242)+E(f16(x241,x243),f16(x242,x243))
% 0.63/0.84 [25]~E(x251,x252)+E(f16(x253,x251),f16(x253,x252))
% 0.63/0.84 [26]~E(x261,x262)+E(f9(x261),f9(x262))
% 0.63/0.84 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 0.63/0.84 [28]~E(x281,x282)+E(f15(x281),f15(x282))
% 0.63/0.84 [29]~E(x291,x292)+E(f22(x291),f22(x292))
% 0.63/0.84 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.63/0.84 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.63/0.84 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 0.63/0.84 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 0.63/0.84 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 0.63/0.84 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 0.63/0.84 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 0.63/0.84 [37]~P8(x371)+P8(x372)+~E(x371,x372)
% 0.63/0.84 [38]P6(x382,x383)+~E(x381,x382)+~P6(x381,x383)
% 0.63/0.84 [39]P6(x393,x392)+~E(x391,x392)+~P6(x393,x391)
% 0.63/0.84 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 0.63/0.84 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 0.63/0.84 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 0.63/0.84 [43]~P7(x431)+P7(x432)+~E(x431,x432)
% 0.63/0.84 [44]~P9(x441)+P9(x442)+~E(x441,x442)
% 0.63/0.84
% 0.63/0.84 %-------------------------------------------
% 0.63/0.84 cnf(177,plain,
% 0.63/0.84 (~P2(f10(x1771))+P3(f10(x1771),x1771,x1772)+~P6(f10(f10(f12(f7(f10(x1771),a19)))),f10(f10(x1772)))),
% 0.63/0.84 inference(equality_inference,[],[151])).
% 0.63/0.84 cnf(181,plain,
% 0.63/0.84 (E(a26,f27(f5(a26),f5(a26)))),
% 0.63/0.84 inference(scs_inference,[],[53,100,2])).
% 0.63/0.84 cnf(182,plain,
% 0.63/0.84 (~P1(a4)),
% 0.63/0.84 inference(scs_inference,[],[53,71,100,2,78])).
% 0.63/0.84 cnf(183,plain,
% 0.63/0.84 (~P5(x1831,a4)),
% 0.63/0.84 inference(rename_variables,[],[71])).
% 0.63/0.84 cnf(186,plain,
% 0.63/0.84 (~P5(x1861,f11(f9(x1862),x1862))),
% 0.63/0.84 inference(rename_variables,[],[72])).
% 0.63/0.84 cnf(188,plain,
% 0.63/0.84 (P6(f11(f9(x1881),x1881),x1882)),
% 0.63/0.84 inference(scs_inference,[],[53,71,72,186,100,2,78,87,97])).
% 0.63/0.84 cnf(189,plain,
% 0.63/0.84 (~P5(x1891,f11(f9(x1892),x1892))),
% 0.63/0.84 inference(rename_variables,[],[72])).
% 0.63/0.84 cnf(191,plain,
% 0.63/0.84 (~P5(x1911,f10(f9(f7(f27(x1911,x1911),a19))))),
% 0.63/0.84 inference(scs_inference,[],[53,71,72,186,100,2,78,87,97,130])).
% 0.63/0.84 cnf(193,plain,
% 0.63/0.84 (~P5(f27(f27(f27(f27(x1931,x1931),f27(x1931,f27(x1932,x1932))),f27(f27(x1931,x1931),f27(x1931,f27(x1932,x1932)))),f27(f27(f27(x1931,x1931),f27(x1931,f27(x1932,x1932))),f27(x1933,x1933))),f21(a4))),
% 0.63/0.84 inference(scs_inference,[],[53,71,183,72,186,100,2,78,87,97,130,161])).
% 0.63/0.84 cnf(194,plain,
% 0.63/0.84 (~P5(x1941,a4)),
% 0.63/0.84 inference(rename_variables,[],[71])).
% 0.63/0.84 cnf(197,plain,
% 0.63/0.84 (~P5(x1971,a4)),
% 0.63/0.84 inference(rename_variables,[],[71])).
% 0.63/0.84 cnf(200,plain,
% 0.63/0.84 (P6(x2001,a19)),
% 0.63/0.84 inference(rename_variables,[],[50])).
% 0.63/0.84 cnf(202,plain,
% 0.63/0.84 (~P5(a25,f9(a26))),
% 0.63/0.84 inference(scs_inference,[],[49,53,50,71,183,194,72,186,189,100,2,78,87,97,130,161,162,102,116])).
% 0.63/0.84 cnf(203,plain,
% 0.63/0.84 (~P5(x2031,f11(f9(x2032),x2032))),
% 0.63/0.84 inference(rename_variables,[],[72])).
% 0.63/0.84 cnf(205,plain,
% 0.63/0.84 (E(f11(f7(f27(x2051,x2051),a19),f9(f7(f27(x2051,x2051),a19))),a4)),
% 0.63/0.84 inference(scs_inference,[],[49,53,50,71,183,194,63,72,186,189,100,2,78,87,97,130,161,162,102,116,3])).
% 0.63/0.84 cnf(208,plain,
% 0.63/0.84 (P5(a26,f27(x2081,f27(f5(a26),f5(a26))))),
% 0.63/0.84 inference(scs_inference,[],[49,53,50,71,183,194,67,63,72,186,189,100,2,78,87,97,130,161,162,102,116,3,30,32])).
% 0.63/0.84 cnf(210,plain,
% 0.63/0.84 (~E(a26,a4)),
% 0.63/0.84 inference(scs_inference,[],[49,53,50,71,183,194,197,67,63,72,186,189,100,2,78,87,97,130,161,162,102,116,3,30,32,33])).
% 0.63/0.84 cnf(211,plain,
% 0.63/0.84 (~P5(x2111,a4)),
% 0.63/0.84 inference(rename_variables,[],[71])).
% 0.63/0.85 cnf(212,plain,
% 0.63/0.85 (E(a4,f11(f9(x2121),x2121))),
% 0.63/0.85 inference(scs_inference,[],[49,53,50,71,183,194,197,211,67,63,72,186,189,203,100,2,78,87,97,130,161,162,102,116,3,30,32,33,115])).
% 0.63/0.85 cnf(219,plain,
% 0.63/0.85 (P6(a26,f27(f5(a26),f5(a26)))),
% 0.63/0.85 inference(scs_inference,[],[49,53,52,50,200,71,183,194,197,211,47,67,63,72,186,189,203,100,2,78,87,97,130,161,162,102,116,3,30,32,33,115,158,38])).
% 0.63/0.85 cnf(220,plain,
% 0.63/0.85 (P6(x2201,x2201)),
% 0.63/0.85 inference(rename_variables,[],[52])).
% 0.63/0.85 cnf(221,plain,
% 0.63/0.85 (P6(f27(f5(a26),f5(a26)),a26)),
% 0.63/0.85 inference(scs_inference,[],[49,53,52,220,50,200,71,183,194,197,211,47,67,63,72,186,189,203,100,2,78,87,97,130,161,162,102,116,3,30,32,33,115,158,38,39])).
% 0.63/0.85 cnf(223,plain,
% 0.63/0.85 (~P6(a26,a4)),
% 0.63/0.85 inference(scs_inference,[],[49,53,52,220,50,200,71,183,194,197,211,47,67,63,72,186,189,203,100,2,78,87,97,130,161,162,102,116,3,30,32,33,115,158,38,39,79])).
% 0.63/0.85 cnf(228,plain,
% 0.63/0.85 (~E(a4,a26)),
% 0.63/0.85 inference(scs_inference,[],[49,53,52,220,50,200,71,183,194,197,211,47,67,63,72,186,189,203,100,2,78,87,97,130,161,162,102,116,3,30,32,33,115,158,38,39,79,81,31,75])).
% 0.63/0.85 cnf(254,plain,
% 0.63/0.85 (E(a4,f11(f7(f27(x2541,x2541),a19),f9(f7(f27(x2541,x2541),a19))))),
% 0.63/0.85 inference(scs_inference,[],[205,191,193,161,162,78,2])).
% 0.63/0.85 cnf(256,plain,
% 0.63/0.85 (P5(f11(f9(x2561),x2561),f27(a4,a4))),
% 0.63/0.85 inference(scs_inference,[],[53,205,228,191,193,212,57,161,162,78,2,3,32])).
% 0.63/0.85 cnf(257,plain,
% 0.63/0.85 (P5(a26,f27(f27(f5(a26),f5(a26)),x2571))),
% 0.63/0.85 inference(scs_inference,[],[53,208,205,228,191,193,62,212,57,161,162,78,2,3,32,102])).
% 0.63/0.85 cnf(265,plain,
% 0.63/0.85 (P6(f11(f9(x2651),x2651),x2652)),
% 0.63/0.85 inference(rename_variables,[],[188])).
% 0.63/0.85 cnf(270,plain,
% 0.63/0.85 (P5(f22(f27(f5(a26),f5(a26))),f27(f5(a26),f5(a26)))),
% 0.63/0.85 inference(scs_inference,[],[49,53,208,205,202,228,188,191,193,62,212,219,182,223,57,161,162,78,2,3,32,102,33,39,30,38,84,79,81])).
% 0.63/0.85 cnf(278,plain,
% 0.63/0.85 (E(f22(f27(f5(a26),f5(a26))),f5(a26))),
% 0.63/0.85 inference(scs_inference,[],[49,53,208,205,202,228,188,265,191,193,62,212,219,182,223,57,52,161,162,78,2,3,32,102,33,39,30,38,84,79,81,95,177,110])).
% 0.63/0.85 cnf(286,plain,
% 0.63/0.85 (~P5(f27(f27(f27(f27(x2861,x2861),f27(x2861,f27(x2862,x2862))),f27(f27(x2861,x2861),f27(x2861,f27(x2862,x2862)))),f27(f27(f27(x2861,x2861),f27(x2861,f27(x2862,x2862))),f27(x2863,x2863))),f21(f11(f9(x2864),x2864)))),
% 0.63/0.85 inference(scs_inference,[],[72,161])).
% 0.63/0.85 cnf(287,plain,
% 0.63/0.85 (~P5(x2871,f11(f9(x2872),x2872))),
% 0.63/0.85 inference(rename_variables,[],[72])).
% 0.63/0.85 cnf(289,plain,
% 0.63/0.85 (~P5(f27(f27(f27(f27(x2891,x2891),f27(x2891,f27(x2892,x2892))),f27(f27(x2891,x2891),f27(x2891,f27(x2892,x2892)))),f27(f27(f27(x2891,x2891),f27(x2891,f27(x2892,x2892))),f27(x2893,x2893))),f12(f11(f9(x2894),x2894)))),
% 0.63/0.85 inference(scs_inference,[],[72,287,161,162])).
% 0.63/0.85 cnf(290,plain,
% 0.63/0.85 (~P5(x2901,f11(f9(x2902),x2902))),
% 0.63/0.85 inference(rename_variables,[],[72])).
% 0.63/0.85 cnf(292,plain,
% 0.63/0.85 (~P1(f11(f9(x2921),x2921))),
% 0.63/0.85 inference(scs_inference,[],[72,287,290,161,162,78])).
% 0.63/0.85 cnf(296,plain,
% 0.63/0.85 (P5(f22(f27(f5(a26),f5(a26))),a26)),
% 0.63/0.85 inference(scs_inference,[],[72,287,290,221,270,278,161,162,78,2,102])).
% 0.63/0.85 cnf(300,plain,
% 0.63/0.85 (P6(a26,f27(x3001,f5(a26)))),
% 0.63/0.85 inference(scs_inference,[],[53,181,257,254,205,72,287,290,221,270,278,61,161,162,78,2,102,3,32,38])).
% 0.63/0.85 cnf(330,plain,
% 0.63/0.85 (~E(f27(x3301,f5(a26)),a4)),
% 0.63/0.85 inference(scs_inference,[],[49,53,205,210,296,223,63,286,300,278,62,161,162,2,102,32,3,38,39])).
% 0.63/0.85 cnf(336,plain,
% 0.63/0.85 (E(a25,f5(a26))),
% 0.63/0.85 inference(scs_inference,[],[49,53,256,205,210,296,71,223,63,292,286,300,278,62,161,162,2,102,32,3,38,39,30,33,107])).
% 0.63/0.85 cnf(365,plain,
% 0.63/0.85 ($false),
% 0.63/0.85 inference(scs_inference,[],[70,289,336,330,161,79,81,75,162,2]),
% 0.63/0.85 ['proof']).
% 0.63/0.85 % SZS output end Proof
% 0.63/0.85 % Total time :0.120000s
%------------------------------------------------------------------------------