TSTP Solution File: SET095-7 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET095-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 14:28:40 EDT 2023
% Result : Unsatisfiable 0.21s 0.72s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET095-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.36 % Computer : n028.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Aug 26 11:05:07 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.61 start to proof:theBenchmark
% 0.21/0.70 %-------------------------------------------
% 0.21/0.70 % File :CSE---1.6
% 0.21/0.70 % Problem :theBenchmark
% 0.21/0.70 % Transform :cnf
% 0.21/0.70 % Format :tptp:raw
% 0.21/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.70
% 0.21/0.70 % Result :Theorem 0.010000s
% 0.21/0.70 % Output :CNFRefutation 0.010000s
% 0.21/0.70 %-------------------------------------------
% 0.21/0.71 %--------------------------------------------------------------------------
% 0.21/0.71 % File : SET095-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.21/0.71 % Domain : Set Theory
% 0.21/0.71 % Problem : Property 2 of singleton sets
% 0.21/0.71 % Version : [Qua92] axioms : Augmented.
% 0.21/0.71 % English :
% 0.21/0.71
% 0.21/0.71 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.21/0.71 % Source : [Quaife]
% 0.21/0.71 % Names : SS11 [Qua92]
% 0.21/0.71
% 0.21/0.71 % Status : Unsatisfiable
% 0.21/0.71 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.10 v5.4.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.09 v4.0.0, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.1.0
% 0.21/0.71 % Syntax : Number of clauses : 140 ( 42 unt; 21 nHn; 94 RR)
% 0.21/0.71 % Number of literals : 280 ( 77 equ; 126 neg)
% 0.21/0.71 % Maximal clause size : 5 ( 2 avg)
% 0.21/0.71 % Maximal term depth : 6 ( 1 avg)
% 0.21/0.71 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.21/0.71 % Number of functors : 42 ( 42 usr; 10 con; 0-3 aty)
% 0.21/0.71 % Number of variables : 264 ( 46 sgn)
% 0.21/0.71 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.71
% 0.21/0.71 % Comments : Preceding lemmas are added.
% 0.21/0.71 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.21/0.71 %--------------------------------------------------------------------------
% 0.21/0.71 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.21/0.71 include('Axioms/SET004-0.ax').
% 0.21/0.71 %--------------------------------------------------------------------------
% 0.21/0.71 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 0.21/0.71 cnf(corollary_1_to_unordered_pair,axiom,
% 0.21/0.71 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.21/0.71 | member(X,unordered_pair(X,Y)) ) ).
% 0.21/0.71
% 0.21/0.71 cnf(corollary_2_to_unordered_pair,axiom,
% 0.21/0.71 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.21/0.71 | member(Y,unordered_pair(X,Y)) ) ).
% 0.21/0.71
% 0.21/0.71 %----Corollaries to Cartesian product axiom.
% 0.21/0.71 cnf(corollary_1_to_cartesian_product,axiom,
% 0.21/0.71 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.21/0.71 | member(U,universal_class) ) ).
% 0.21/0.71
% 0.21/0.71 cnf(corollary_2_to_cartesian_product,axiom,
% 0.21/0.71 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.21/0.71 | member(V,universal_class) ) ).
% 0.21/0.71
% 0.21/0.71 %---- PARTIAL ORDER.
% 0.21/0.71 %----(PO1): reflexive.
% 0.21/0.71 cnf(subclass_is_reflexive,axiom,
% 0.21/0.71 subclass(X,X) ).
% 0.21/0.71
% 0.21/0.71 %----(PO2): antisymmetry is part of A-3.
% 0.21/0.71 %----(x < y), (y < x) --> (x = y).
% 0.21/0.71
% 0.21/0.71 %----(PO3): transitivity.
% 0.21/0.71 cnf(transitivity_of_subclass,axiom,
% 0.21/0.71 ( ~ subclass(X,Y)
% 0.21/0.71 | ~ subclass(Y,Z)
% 0.21/0.71 | subclass(X,Z) ) ).
% 0.21/0.71
% 0.21/0.71 %---- EQUALITY.
% 0.21/0.71 %----(EQ1): equality axiom.
% 0.21/0.71 %----a:x:(x = x).
% 0.21/0.71 %----This is always an axiom in the TPTP presentation.
% 0.21/0.71
% 0.21/0.71 %----(EQ2): expanded equality definition.
% 0.21/0.71 cnf(equality1,axiom,
% 0.21/0.71 ( X = Y
% 0.21/0.71 | member(not_subclass_element(X,Y),X)
% 0.21/0.71 | member(not_subclass_element(Y,X),Y) ) ).
% 0.21/0.71
% 0.21/0.71 cnf(equality2,axiom,
% 0.21/0.71 ( ~ member(not_subclass_element(X,Y),Y)
% 0.21/0.71 | X = Y
% 0.21/0.71 | member(not_subclass_element(Y,X),Y) ) ).
% 0.21/0.71
% 0.21/0.71 cnf(equality3,axiom,
% 0.21/0.71 ( ~ member(not_subclass_element(Y,X),X)
% 0.21/0.71 | X = Y
% 0.21/0.71 | member(not_subclass_element(X,Y),X) ) ).
% 0.21/0.71
% 0.21/0.71 cnf(equality4,axiom,
% 0.21/0.71 ( ~ member(not_subclass_element(X,Y),Y)
% 0.21/0.71 | ~ member(not_subclass_element(Y,X),X)
% 0.21/0.71 | X = Y ) ).
% 0.21/0.71
% 0.21/0.71 %---- SPECIAL CLASSES.
% 0.21/0.71 %----(SP1): lemma.
% 0.21/0.71 cnf(special_classes_lemma,axiom,
% 0.21/0.71 ~ member(Y,intersection(complement(X),X)) ).
% 0.21/0.71
% 0.21/0.71 %----(SP2): Existence of O (null class).
% 0.21/0.71 %----e:x:a:z:(-(z e x)).
% 0.21/0.71 cnf(existence_of_null_class,axiom,
% 0.21/0.71 ~ member(Z,null_class) ).
% 0.21/0.71
% 0.21/0.71 %----(SP3): O is a subclass of every class.
% 0.21/0.71 cnf(null_class_is_subclass,axiom,
% 0.21/0.71 subclass(null_class,X) ).
% 0.21/0.71
% 0.21/0.71 %----corollary.
% 0.21/0.71 cnf(corollary_of_null_class_is_subclass,axiom,
% 0.21/0.71 ( ~ subclass(X,null_class)
% 0.21/0.71 | X = null_class ) ).
% 0.21/0.71
% 0.21/0.71 %----(SP4): uniqueness of null class.
% 0.21/0.71 cnf(null_class_is_unique,axiom,
% 0.21/0.71 ( Z = null_class
% 0.21/0.71 | member(not_subclass_element(Z,null_class),Z) ) ).
% 0.21/0.71
% 0.21/0.71 %----(SP5): O is a set (follows from axiom of infinity).
% 0.21/0.71 cnf(null_class_is_a_set,axiom,
% 0.21/0.71 member(null_class,universal_class) ).
% 0.21/0.71
% 0.21/0.71 %---- UNORDERED PAIRS.
% 0.21/0.71 %----(UP1): unordered pair is commutative.
% 0.21/0.71 cnf(commutativity_of_unordered_pair,axiom,
% 0.21/0.71 unordered_pair(X,Y) = unordered_pair(Y,X) ).
% 0.21/0.71
% 0.21/0.71 %----(UP2): if one argument is a proper class, pair contains only the
% 0.21/0.71 %----other. In a slightly different form to the paper
% 0.21/0.71 cnf(singleton_in_unordered_pair1,axiom,
% 0.21/0.71 subclass(singleton(X),unordered_pair(X,Y)) ).
% 0.21/0.71
% 0.21/0.71 cnf(singleton_in_unordered_pair2,axiom,
% 0.21/0.71 subclass(singleton(Y),unordered_pair(X,Y)) ).
% 0.21/0.71
% 0.21/0.71 cnf(unordered_pair_equals_singleton1,axiom,
% 0.21/0.71 ( member(Y,universal_class)
% 0.21/0.71 | unordered_pair(X,Y) = singleton(X) ) ).
% 0.21/0.71
% 0.21/0.71 cnf(unordered_pair_equals_singleton2,axiom,
% 0.21/0.71 ( member(X,universal_class)
% 0.21/0.71 | unordered_pair(X,Y) = singleton(Y) ) ).
% 0.21/0.71
% 0.21/0.71 %----(UP3): if both arguments are proper classes, pair is null.
% 0.21/0.71 cnf(null_unordered_pair,axiom,
% 0.21/0.71 ( unordered_pair(X,Y) = null_class
% 0.21/0.71 | member(X,universal_class)
% 0.21/0.71 | member(Y,universal_class) ) ).
% 0.21/0.71
% 0.21/0.71 %----(UP4): left cancellation for unordered pairs.
% 0.21/0.71 cnf(left_cancellation,axiom,
% 0.21/0.71 ( unordered_pair(X,Y) != unordered_pair(X,Z)
% 0.21/0.71 | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 0.21/0.71 | Y = Z ) ).
% 0.21/0.71
% 0.21/0.71 %----(UP5): right cancellation for unordered pairs.
% 0.21/0.71 cnf(right_cancellation,axiom,
% 0.21/0.71 ( unordered_pair(X,Z) != unordered_pair(Y,Z)
% 0.21/0.71 | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
% 0.21/0.71 | X = Y ) ).
% 0.21/0.71
% 0.21/0.71 %----(UP6): corollary to (A-4).
% 0.21/0.71 cnf(corollary_to_unordered_pair_axiom1,axiom,
% 0.21/0.71 ( ~ member(X,universal_class)
% 0.21/0.71 | unordered_pair(X,Y) != null_class ) ).
% 0.21/0.71
% 0.21/0.71 cnf(corollary_to_unordered_pair_axiom2,axiom,
% 0.21/0.71 ( ~ member(Y,universal_class)
% 0.21/0.71 | unordered_pair(X,Y) != null_class ) ).
% 0.21/0.71
% 0.21/0.71 %----corollary to instantiate variables.
% 0.21/0.71 %----Not in the paper
% 0.21/0.71 cnf(corollary_to_unordered_pair_axiom3,axiom,
% 0.21/0.71 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.21/0.71 | unordered_pair(X,Y) != null_class ) ).
% 0.21/0.71
% 0.21/0.71 %----(UP7): if both members of a pair belong to a set, the pair
% 0.21/0.71 %----is a subset.
% 0.21/0.71 cnf(unordered_pair_is_subset,axiom,
% 0.21/0.71 ( ~ member(X,Z)
% 0.21/0.71 | ~ member(Y,Z)
% 0.21/0.71 | subclass(unordered_pair(X,Y),Z) ) ).
% 0.21/0.71
% 0.21/0.71 %---- SINGLETONS.
% 0.21/0.71 %----(SS1): every singleton is a set.
% 0.21/0.71 cnf(singletons_are_sets,axiom,
% 0.21/0.71 member(singleton(X),universal_class) ).
% 0.21/0.71
% 0.21/0.71 %----corollary, not in the paper.
% 0.21/0.71 cnf(corollary_1_to_singletons_are_sets,axiom,
% 0.21/0.71 member(singleton(Y),unordered_pair(X,singleton(Y))) ).
% 0.21/0.71
% 0.21/0.71 %----(SS2): a set belongs to its singleton.
% 0.21/0.71 %----(u = x), (u e universal_class) --> (u e {x}).
% 0.21/0.71 cnf(set_in_its_singleton,axiom,
% 0.21/0.71 ( ~ member(X,universal_class)
% 0.21/0.71 | member(X,singleton(X)) ) ).
% 0.21/0.71
% 0.21/0.71 %----corollary
% 0.21/0.71 cnf(corollary_to_set_in_its_singleton,axiom,
% 0.21/0.71 ( ~ member(X,universal_class)
% 0.21/0.71 | singleton(X) != null_class ) ).
% 0.21/0.71
% 0.21/0.71 %----Not in the paper
% 0.21/0.71 cnf(null_class_in_its_singleton,axiom,
% 0.21/0.71 member(null_class,singleton(null_class)) ).
% 0.21/0.71
% 0.21/0.71 %----(SS3): only x can belong to {x}.
% 0.21/0.71 cnf(only_member_in_singleton,axiom,
% 0.21/0.71 ( ~ member(Y,singleton(X))
% 0.21/0.71 | Y = X ) ).
% 0.21/0.71
% 0.21/0.71 %----(SS4): if x is not a set, {x} = O.
% 0.21/0.71 cnf(singleton_is_null_class,axiom,
% 0.21/0.71 ( member(X,universal_class)
% 0.21/0.71 | singleton(X) = null_class ) ).
% 0.21/0.71
% 0.21/0.71 %----(SS5): a singleton set is determined by its element.
% 0.21/0.71 cnf(singleton_identified_by_element1,axiom,
% 0.21/0.71 ( singleton(X) != singleton(Y)
% 0.21/0.71 | ~ member(X,universal_class)
% 0.21/0.71 | X = Y ) ).
% 0.21/0.71
% 0.21/0.71 cnf(singleton_identified_by_element2,axiom,
% 0.21/0.72 ( singleton(X) != singleton(Y)
% 0.21/0.72 | ~ member(Y,universal_class)
% 0.21/0.72 | X = Y ) ).
% 0.21/0.72
% 0.21/0.72 %----(SS5.5).
% 0.21/0.72 %----Not in the paper
% 0.21/0.72 cnf(singleton_in_unordered_pair3,axiom,
% 0.21/0.72 ( unordered_pair(Y,Z) != singleton(X)
% 0.21/0.72 | ~ member(X,universal_class)
% 0.21/0.72 | X = Y
% 0.21/0.72 | X = Z ) ).
% 0.21/0.72
% 0.21/0.72 %----(SS6): existence of memb.
% 0.21/0.72 %----a:x:e:u:(((u e universal_class) & x = {u}) | (-e:y:((y
% 0.21/0.72 %----e universal_class) & x = {y}) & u = x)).
% 0.21/0.72 cnf(member_exists1,axiom,
% 0.21/0.72 ( ~ member(Y,universal_class)
% 0.21/0.72 | member(member_of(singleton(Y)),universal_class) ) ).
% 0.21/0.72
% 0.21/0.72 cnf(member_exists2,axiom,
% 0.21/0.72 ( ~ member(Y,universal_class)
% 0.21/0.72 | singleton(member_of(singleton(Y))) = singleton(Y) ) ).
% 0.21/0.72
% 0.21/0.72 cnf(member_exists3,axiom,
% 0.21/0.72 ( member(member_of(X),universal_class)
% 0.21/0.72 | member_of(X) = X ) ).
% 0.21/0.72
% 0.21/0.72 cnf(member_exists4,axiom,
% 0.21/0.72 ( singleton(member_of(X)) = X
% 0.21/0.72 | member_of(X) = X ) ).
% 0.21/0.72
% 0.21/0.72 %----(SS7): uniqueness of memb of a singleton set.
% 0.21/0.72 %----a:x:a:u:(((u e universal_class) & x = {u}) ==> member_of(x) = u)
% 0.21/0.72 cnf(member_of_singleton_is_unique,axiom,
% 0.21/0.72 ( ~ member(U,universal_class)
% 0.21/0.72 | member_of(singleton(U)) = U ) ).
% 0.21/0.72
% 0.21/0.72 %----(SS8): uniqueness of memb when x is not a singleton of a set.
% 0.21/0.72 %----a:x:a:u:((e:y:((y e universal_class) & x = {y})
% 0.21/0.72 %----& u = x) | member_of(x) = u)
% 0.21/0.72 cnf(member_of_non_singleton_unique1,axiom,
% 0.21/0.72 ( member(member_of1(X),universal_class)
% 0.21/0.72 | member_of(X) = X ) ).
% 0.21/0.72
% 0.21/0.72 cnf(member_of_non_singleton_unique2,axiom,
% 0.21/0.72 ( singleton(member_of1(X)) = X
% 0.21/0.72 | member_of(X) = X ) ).
% 0.21/0.72
% 0.21/0.72 %----(SS9): corollary to (SS1).
% 0.21/0.72 cnf(corollary_2_to_singletons_are_sets,axiom,
% 0.21/0.72 ( singleton(member_of(X)) != X
% 0.21/0.72 | member(X,universal_class) ) ).
% 0.21/0.72
% 0.21/0.72 %----(SS10).
% 0.21/0.72 cnf(property_of_singletons1,axiom,
% 0.21/0.72 ( singleton(member_of(X)) != X
% 0.21/0.72 | ~ member(Y,X)
% 0.21/0.72 | member_of(X) = Y ) ).
% 0.21/0.72
% 0.21/0.72 cnf(prove_property_of_singletons2_1,negated_conjecture,
% 0.21/0.72 member(x,y) ).
% 0.21/0.72
% 0.21/0.72 cnf(prove_property_of_singletons2_2,negated_conjecture,
% 0.21/0.72 ~ subclass(singleton(x),y) ).
% 0.21/0.72
% 0.21/0.72 %--------------------------------------------------------------------------
% 0.21/0.72 %-------------------------------------------
% 0.21/0.72 % Proof found
% 0.21/0.72 % SZS status Theorem for theBenchmark
% 0.21/0.72 % SZS output start Proof
% 0.21/0.72 %ClaNum:169(EqnAxiom:44)
% 0.21/0.72 %VarNum:943(SingletonVarNum:233)
% 0.21/0.72 %MaxLitNum:5
% 0.21/0.72 %MaxfuncDepth:24
% 0.21/0.72 %SharedTerms:37
% 0.21/0.72 %goalClause: 49 70
% 0.21/0.72 %singleGoalClaCount:2
% 0.21/0.72 [45]P1(a1)
% 0.21/0.72 [46]P2(a2)
% 0.21/0.72 [47]P5(a4,a19)
% 0.21/0.72 [48]P5(a1,a19)
% 0.21/0.72 [49]P5(a25,a27)
% 0.21/0.72 [54]P6(a5,f6(a19,a19))
% 0.21/0.72 [55]P6(a20,f6(a19,a19))
% 0.21/0.72 [56]P5(a4,f26(a4,a4))
% 0.21/0.72 [70]~P6(f26(a25,a25),a27)
% 0.21/0.72 [65]E(f10(f9(f11(f6(a23,a19))),a23),a13)
% 0.21/0.72 [67]E(f10(f6(a19,a19),f10(f6(a19,a19),f8(f7(f8(a5),f9(f11(f6(a5,a19))))))),a23)
% 0.21/0.72 [50]P6(x501,a19)
% 0.21/0.72 [51]P6(a4,x511)
% 0.21/0.72 [52]P6(x521,x521)
% 0.21/0.72 [69]~P5(x691,a4)
% 0.21/0.72 [63]P6(f21(x631),f6(f6(a19,a19),a19))
% 0.21/0.72 [64]P6(f11(x641),f6(f6(a19,a19),a19))
% 0.21/0.72 [68]E(f10(f9(x681),f8(f9(f10(f7(f9(f11(f6(a5,a19))),x681),a13)))),f3(x681))
% 0.21/0.72 [53]E(f26(x531,x532),f26(x532,x531))
% 0.21/0.72 [57]P5(f26(x571,x572),a19)
% 0.21/0.72 [59]P6(f7(x591,x592),f6(a19,a19))
% 0.21/0.72 [60]P6(f26(x601,x601),f26(x602,x601))
% 0.21/0.72 [61]P6(f26(x611,x611),f26(x611,x612))
% 0.21/0.72 [66]P5(f26(x661,x661),f26(x662,f26(x661,x661)))
% 0.21/0.72 [71]~P5(x711,f10(f8(x712),x712))
% 0.21/0.72 [62]E(f10(f6(x621,x622),x623),f10(x623,f6(x621,x622)))
% 0.21/0.72 [72]~P7(x721)+P2(x721)
% 0.21/0.72 [73]~P8(x731)+P2(x731)
% 0.21/0.72 [76]~P1(x761)+P6(a1,x761)
% 0.21/0.72 [77]~P1(x771)+P5(a4,x771)
% 0.21/0.72 [78]~P6(x781,a4)+E(x781,a4)
% 0.21/0.72 [80]P5(f22(x801),x801)+E(x801,a4)
% 0.21/0.72 [81]E(f14(x811),x811)+P5(f14(x811),a19)
% 0.21/0.72 [82]E(f14(x821),x821)+P5(f15(x821),a19)
% 0.21/0.72 [83]P5(x831,a19)+E(f26(x831,x831),a4)
% 0.21/0.72 [86]E(x861,a4)+P5(f16(x861,a4),x861)
% 0.21/0.72 [90]~P2(x901)+P6(x901,f6(a19,a19))
% 0.21/0.72 [79]E(x791,a4)+E(f10(x791,f22(x791)),a4)
% 0.21/0.72 [84]E(f14(x841),x841)+E(f26(f14(x841),f14(x841)),x841)
% 0.21/0.72 [85]E(f14(x851),x851)+E(f26(f15(x851),f15(x851)),x851)
% 0.21/0.72 [95]~P5(x951,a19)+E(f14(f26(x951,x951)),x951)
% 0.21/0.72 [99]P5(x991,a19)+~E(f26(f14(x991),f14(x991)),x991)
% 0.21/0.72 [121]~P5(x1211,a19)+P5(f14(f26(x1211,x1211)),a19)
% 0.21/0.72 [105]~P8(x1051)+E(f6(f9(f9(x1051)),f9(f9(x1051))),f9(x1051))
% 0.21/0.72 [125]~P7(x1251)+P2(f9(f11(f6(x1251,a19))))
% 0.21/0.72 [129]~P5(x1291,a19)+E(f26(f14(f26(x1291,x1291)),f14(f26(x1291,x1291))),f26(x1291,x1291))
% 0.21/0.72 [131]~P5(x1311,a19)+P5(f9(f10(a5,f6(a19,x1311))),a19)
% 0.21/0.72 [133]~P9(x1331)+P6(f7(x1331,f9(f11(f6(x1331,a19)))),a13)
% 0.21/0.72 [134]~P2(x1341)+P6(f7(x1341,f9(f11(f6(x1341,a19)))),a13)
% 0.21/0.72 [135]~P8(x1351)+P6(f9(f9(f11(f6(x1351,a19)))),f9(f9(x1351)))
% 0.21/0.72 [140]P9(x1401)+~P6(f7(x1401,f9(f11(f6(x1401,a19)))),a13)
% 0.21/0.72 [156]~P1(x1561)+P6(f9(f9(f11(f6(f10(a20,f6(x1561,a19)),a19)))),x1561)
% 0.21/0.72 [160]~P5(x1601,a19)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1601),a19)),a19))))),a19)
% 0.21/0.72 [74]~E(x742,x741)+P6(x741,x742)
% 0.21/0.72 [75]~E(x751,x752)+P6(x751,x752)
% 0.21/0.72 [88]P5(x882,a19)+E(f26(x881,x882),f26(x881,x881))
% 0.21/0.72 [89]P5(x891,a19)+E(f26(x891,x892),f26(x892,x892))
% 0.21/0.72 [91]~P5(x912,a19)+~E(f26(x911,x912),a4)
% 0.21/0.72 [92]~P5(x921,a19)+~E(f26(x921,x922),a4)
% 0.21/0.72 [96]P6(x961,x962)+P5(f16(x961,x962),x961)
% 0.21/0.72 [97]~P5(x971,x972)+~P5(x971,f8(x972))
% 0.21/0.72 [102]~P5(x1021,a19)+P5(x1021,f26(x1022,x1021))
% 0.21/0.72 [103]~P5(x1031,a19)+P5(x1031,f26(x1031,x1032))
% 0.21/0.72 [106]E(x1061,x1062)+~P5(x1061,f26(x1062,x1062))
% 0.21/0.72 [114]P6(x1141,x1142)+~P5(f16(x1141,x1142),x1142)
% 0.21/0.72 [130]~P5(x1302,f9(x1301))+~E(f10(x1301,f6(f26(x1302,x1302),a19)),a4)
% 0.21/0.72 [139]P5(x1391,x1392)+~P5(f26(f26(x1391,x1391),f26(x1391,f26(x1392,x1392))),a5)
% 0.21/0.72 [153]~P5(f26(f26(x1531,x1531),f26(x1531,f26(x1532,x1532))),a20)+E(f8(f10(f8(x1531),f8(f26(x1531,x1531)))),x1532)
% 0.21/0.72 [118]P2(x1181)+~P3(x1181,x1182,x1183)
% 0.21/0.72 [119]P8(x1191)+~P4(x1192,x1193,x1191)
% 0.21/0.72 [120]P8(x1201)+~P4(x1202,x1201,x1203)
% 0.21/0.72 [128]~P4(x1281,x1282,x1283)+P3(x1281,x1282,x1283)
% 0.21/0.72 [112]P5(x1121,x1122)+~P5(x1121,f10(x1123,x1122))
% 0.21/0.72 [113]P5(x1131,x1132)+~P5(x1131,f10(x1132,x1133))
% 0.21/0.72 [122]~P3(x1222,x1221,x1223)+E(f9(f9(x1221)),f9(x1222))
% 0.21/0.72 [136]~P5(x1361,f6(x1362,x1363))+E(f26(f26(f12(x1361),f12(x1361)),f26(f12(x1361),f26(f24(x1361),f24(x1361)))),x1361)
% 0.21/0.72 [138]~P3(x1381,x1383,x1382)+P6(f9(f9(f11(f6(x1381,a19)))),f9(f9(x1382)))
% 0.21/0.72 [141]P5(x1411,a19)+~P5(f26(f26(x1412,x1412),f26(x1412,f26(x1411,x1411))),f6(x1413,x1414))
% 0.21/0.72 [142]P5(x1421,a19)+~P5(f26(f26(x1421,x1421),f26(x1421,f26(x1422,x1422))),f6(x1423,x1424))
% 0.21/0.72 [143]P5(x1431,x1432)+~P5(f26(f26(x1433,x1433),f26(x1433,f26(x1431,x1431))),f6(x1434,x1432))
% 0.21/0.72 [144]P5(x1441,x1442)+~P5(f26(f26(x1441,x1441),f26(x1441,f26(x1443,x1443))),f6(x1442,x1444))
% 0.21/0.72 [145]~E(f26(x1451,x1452),a4)+~P5(f26(f26(x1451,x1451),f26(x1451,f26(x1452,x1452))),f6(x1453,x1454))
% 0.21/0.72 [149]P5(x1491,f26(x1492,x1491))+~P5(f26(f26(x1492,x1492),f26(x1492,f26(x1491,x1491))),f6(x1493,x1494))
% 0.21/0.72 [150]P5(x1501,f26(x1501,x1502))+~P5(f26(f26(x1501,x1501),f26(x1501,f26(x1502,x1502))),f6(x1503,x1504))
% 0.21/0.72 [161]~P5(f26(f26(f26(f26(x1613,x1613),f26(x1613,f26(x1611,x1611))),f26(f26(x1613,x1613),f26(x1613,f26(x1611,x1611)))),f26(f26(f26(x1613,x1613),f26(x1613,f26(x1611,x1611))),f26(x1612,x1612))),f21(x1614))+P5(f26(f26(f26(f26(x1611,x1611),f26(x1611,f26(x1612,x1612))),f26(f26(x1611,x1611),f26(x1611,f26(x1612,x1612)))),f26(f26(f26(x1611,x1611),f26(x1611,f26(x1612,x1612))),f26(x1613,x1613))),x1614)
% 0.21/0.72 [162]~P5(f26(f26(f26(f26(x1622,x1622),f26(x1622,f26(x1621,x1621))),f26(f26(x1622,x1622),f26(x1622,f26(x1621,x1621)))),f26(f26(f26(x1622,x1622),f26(x1622,f26(x1621,x1621))),f26(x1623,x1623))),f11(x1624))+P5(f26(f26(f26(f26(x1621,x1621),f26(x1621,f26(x1622,x1622))),f26(f26(x1621,x1621),f26(x1621,f26(x1622,x1622)))),f26(f26(f26(x1621,x1621),f26(x1621,f26(x1622,x1622))),f26(x1623,x1623))),x1624)
% 0.21/0.72 [166]~P5(f26(f26(x1664,x1664),f26(x1664,f26(x1661,x1661))),f7(x1662,x1663))+P5(x1661,f9(f9(f11(f6(f10(x1662,f6(f9(f9(f11(f6(f10(x1663,f6(f26(x1664,x1664),a19)),a19)))),a19)),a19)))))
% 0.21/0.72 [132]~P2(x1321)+P7(x1321)+~P2(f9(f11(f6(x1321,a19))))
% 0.21/0.72 [146]P2(x1461)+~P6(x1461,f6(a19,a19))+~P6(f7(x1461,f9(f11(f6(x1461,a19)))),a13)
% 0.21/0.72 [158]P1(x1581)+~P5(a4,x1581)+~P6(f9(f9(f11(f6(f10(a20,f6(x1581,a19)),a19)))),x1581)
% 0.21/0.72 [165]~P5(x1651,a19)+E(x1651,a4)+P5(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(a2,f6(f26(x1651,x1651),a19)),a19))))))),x1651)
% 0.21/0.72 [94]~P6(x942,x941)+~P6(x941,x942)+E(x941,x942)
% 0.21/0.72 [87]P5(x872,a19)+P5(x871,a19)+E(f26(x871,x872),a4)
% 0.21/0.72 [98]P5(x981,x982)+P5(x981,f8(x982))+~P5(x981,a19)
% 0.21/0.72 [107]E(x1071,x1072)+~E(f26(x1071,x1071),f26(x1072,x1072))+~P5(x1072,a19)
% 0.21/0.72 [108]E(x1081,x1082)+~E(f26(x1081,x1081),f26(x1082,x1082))+~P5(x1081,a19)
% 0.21/0.72 [115]E(x1151,x1152)+P5(f16(x1152,x1151),x1152)+P5(f16(x1151,x1152),x1151)
% 0.21/0.72 [124]E(x1241,x1242)+P5(f16(x1242,x1241),x1242)+~P5(f16(x1241,x1242),x1242)
% 0.21/0.72 [126]E(x1261,x1262)+~P5(f16(x1262,x1261),x1261)+~P5(f16(x1261,x1262),x1262)
% 0.21/0.72 [111]~P5(x1112,x1111)+E(f14(x1111),x1112)+~E(f26(f14(x1111),f14(x1111)),x1111)
% 0.21/0.72 [127]P5(x1272,f9(x1271))+~P5(x1272,a19)+E(f10(x1271,f6(f26(x1272,x1272),a19)),a4)
% 0.21/0.72 [154]~P5(x1541,x1542)+~P5(f26(f26(x1541,x1541),f26(x1541,f26(x1542,x1542))),f6(a19,a19))+P5(f26(f26(x1541,x1541),f26(x1541,f26(x1542,x1542))),a5)
% 0.21/0.72 [155]~P5(f26(f26(x1551,x1551),f26(x1551,f26(x1552,x1552))),f6(a19,a19))+~E(f8(f10(f8(x1551),f8(f26(x1551,x1551)))),x1552)+P5(f26(f26(x1551,x1551),f26(x1551,f26(x1552,x1552))),a20)
% 0.21/0.72 [157]~P2(x1571)+~P5(x1572,a19)+P5(f9(f9(f11(f6(f10(x1571,f6(x1572,a19)),a19)))),a19)
% 0.21/0.72 [100]~P6(x1001,x1003)+P6(x1001,x1002)+~P6(x1003,x1002)
% 0.21/0.72 [101]~P5(x1011,x1013)+P5(x1011,x1012)+~P6(x1013,x1012)
% 0.21/0.72 [109]E(x1091,x1092)+E(x1091,x1093)+~P5(x1091,f26(x1093,x1092))
% 0.21/0.73 [116]~P5(x1161,x1163)+~P5(x1161,x1162)+P5(x1161,f10(x1162,x1163))
% 0.21/0.73 [117]~P5(x1172,x1173)+~P5(x1171,x1173)+P6(f26(x1171,x1172),x1173)
% 0.21/0.73 [147]E(x1471,x1472)+~E(f26(x1473,x1471),f26(x1473,x1472))+~P5(f26(f26(x1471,x1471),f26(x1471,f26(x1472,x1472))),f6(a19,a19))
% 0.21/0.73 [148]E(x1481,x1482)+~E(f26(x1481,x1483),f26(x1482,x1483))+~P5(f26(f26(x1481,x1481),f26(x1481,f26(x1482,x1482))),f6(a19,a19))
% 0.21/0.73 [137]~P5(x1372,x1374)+~P5(x1371,x1373)+P5(f26(f26(x1371,x1371),f26(x1371,f26(x1372,x1372))),f6(x1373,x1374))
% 0.21/0.73 [163]~P5(f26(f26(f26(f26(x1632,x1632),f26(x1632,f26(x1633,x1633))),f26(f26(x1632,x1632),f26(x1632,f26(x1633,x1633)))),f26(f26(f26(x1632,x1632),f26(x1632,f26(x1633,x1633))),f26(x1631,x1631))),x1634)+P5(f26(f26(f26(f26(x1631,x1631),f26(x1631,f26(x1632,x1632))),f26(f26(x1631,x1631),f26(x1631,f26(x1632,x1632)))),f26(f26(f26(x1631,x1631),f26(x1631,f26(x1632,x1632))),f26(x1633,x1633))),f21(x1634))+~P5(f26(f26(f26(f26(x1631,x1631),f26(x1631,f26(x1632,x1632))),f26(f26(x1631,x1631),f26(x1631,f26(x1632,x1632)))),f26(f26(f26(x1631,x1631),f26(x1631,f26(x1632,x1632))),f26(x1633,x1633))),f6(f6(a19,a19),a19))
% 0.21/0.73 [164]~P5(f26(f26(f26(f26(x1642,x1642),f26(x1642,f26(x1641,x1641))),f26(f26(x1642,x1642),f26(x1642,f26(x1641,x1641)))),f26(f26(f26(x1642,x1642),f26(x1642,f26(x1641,x1641))),f26(x1643,x1643))),x1644)+P5(f26(f26(f26(f26(x1641,x1641),f26(x1641,f26(x1642,x1642))),f26(f26(x1641,x1641),f26(x1641,f26(x1642,x1642)))),f26(f26(f26(x1641,x1641),f26(x1641,f26(x1642,x1642))),f26(x1643,x1643))),f11(x1644))+~P5(f26(f26(f26(f26(x1641,x1641),f26(x1641,f26(x1642,x1642))),f26(f26(x1641,x1641),f26(x1641,f26(x1642,x1642)))),f26(f26(f26(x1641,x1641),f26(x1641,f26(x1642,x1642))),f26(x1643,x1643))),f6(f6(a19,a19),a19))
% 0.21/0.73 [167]P5(f26(f26(x1671,x1671),f26(x1671,f26(x1672,x1672))),f7(x1673,x1674))+~P5(f26(f26(x1671,x1671),f26(x1671,f26(x1672,x1672))),f6(a19,a19))+~P5(x1672,f9(f9(f11(f6(f10(x1673,f6(f9(f9(f11(f6(f10(x1674,f6(f26(x1671,x1671),a19)),a19)))),a19)),a19)))))
% 0.21/0.73 [168]~P4(x1682,x1685,x1681)+~P5(f26(f26(x1683,x1683),f26(x1683,f26(x1684,x1684))),f9(x1685))+E(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1681,f6(f26(f26(f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1683,x1683),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1683,x1683),a19)),a19)))))))),f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1683,x1683),a19)),a19))))))),f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1684,x1684),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1684,x1684),a19)),a19)))))))))),f26(f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1683,x1683),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1683,x1683),a19)),a19)))))))),f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1683,x1683),a19)),a19))))))),f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1684,x1684),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(x1684,x1684),a19)),a19))))))))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1682,f6(f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1685,f6(f26(f26(f26(x1683,x1683),f26(x1683,f26(x1684,x1684))),f26(f26(x1683,x1683),f26(x1683,f26(x1684,x1684)))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1685,f6(f26(f26(f26(x1683,x1683),f26(x1683,f26(x1684,x1684))),f26(f26(x1683,x1683),f26(x1683,f26(x1684,x1684)))),a19)),a19)))))))),a19)),a19))))))))
% 0.21/0.73 [152]~P2(x1521)+P8(x1521)+~E(f6(f9(f9(x1521)),f9(f9(x1521))),f9(x1521))+~P6(f9(f9(f11(f6(x1521,a19)))),f9(f9(x1521)))
% 0.21/0.73 [110]E(x1101,x1102)+E(x1103,x1102)+~E(f26(x1103,x1101),f26(x1102,x1102))+~P5(x1102,a19)
% 0.21/0.73 [151]~P2(x1511)+P3(x1511,x1512,x1513)+~E(f9(f9(x1512)),f9(x1511))+~P6(f9(f9(f11(f6(x1511,a19)))),f9(f9(x1513)))
% 0.21/0.73 [159]~P8(x1593)+~P8(x1592)+~P3(x1591,x1592,x1593)+P4(x1591,x1592,x1593)+P5(f26(f26(f17(x1591,x1592,x1593),f17(x1591,x1592,x1593)),f26(f17(x1591,x1592,x1593),f26(f18(x1591,x1592,x1593),f18(x1591,x1592,x1593)))),f9(x1592))
% 0.21/0.73 [169]~P8(x1693)+~P8(x1692)+~P3(x1691,x1692,x1693)+P4(x1691,x1692,x1693)+~E(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1693,f6(f26(f26(f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19)))))))),f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19))))))),f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)),a19)),a19)))))))))),f26(f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19)))))))),f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),a19)),a19))))))),f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)),a19)),a19))))))))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1691,f6(f26(f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1692,f6(f26(f26(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),f26(f17(x1691,x1692,x1693),f26(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)))),f26(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),f26(f17(x1691,x1692,x1693),f26(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693))))),a19)),a19))))))),f9(f10(a5,f6(a19,f9(f9(f11(f6(f10(x1692,f6(f26(f26(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),f26(f17(x1691,x1692,x1693),f26(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693)))),f26(f26(f17(x1691,x1692,x1693),f17(x1691,x1692,x1693)),f26(f17(x1691,x1692,x1693),f26(f18(x1691,x1692,x1693),f18(x1691,x1692,x1693))))),a19)),a19)))))))),a19)),a19))))))))
% 0.21/0.73 %EqnAxiom
% 0.21/0.73 [1]E(x11,x11)
% 0.21/0.73 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.73 [4]~E(x41,x42)+E(f26(x41,x43),f26(x42,x43))
% 0.21/0.73 [5]~E(x51,x52)+E(f26(x53,x51),f26(x53,x52))
% 0.21/0.73 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 0.21/0.73 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 0.21/0.73 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 0.21/0.73 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93))
% 0.21/0.73 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102))
% 0.21/0.73 [11]~E(x111,x112)+E(f17(x111,x113,x114),f17(x112,x113,x114))
% 0.21/0.73 [12]~E(x121,x122)+E(f17(x123,x121,x124),f17(x123,x122,x124))
% 0.21/0.73 [13]~E(x131,x132)+E(f17(x133,x134,x131),f17(x133,x134,x132))
% 0.21/0.73 [14]~E(x141,x142)+E(f12(x141),f12(x142))
% 0.21/0.73 [15]~E(x151,x152)+E(f11(x151),f11(x152))
% 0.21/0.73 [16]~E(x161,x162)+E(f7(x161,x163),f7(x162,x163))
% 0.21/0.73 [17]~E(x171,x172)+E(f7(x173,x171),f7(x173,x172))
% 0.21/0.73 [18]~E(x181,x182)+E(f18(x181,x183,x184),f18(x182,x183,x184))
% 0.21/0.73 [19]~E(x191,x192)+E(f18(x193,x191,x194),f18(x193,x192,x194))
% 0.21/0.73 [20]~E(x201,x202)+E(f18(x203,x204,x201),f18(x203,x204,x202))
% 0.21/0.73 [21]~E(x211,x212)+E(f14(x211),f14(x212))
% 0.21/0.73 [22]~E(x221,x222)+E(f15(x221),f15(x222))
% 0.21/0.73 [23]~E(x231,x232)+E(f8(x231),f8(x232))
% 0.21/0.73 [24]~E(x241,x242)+E(f16(x241,x243),f16(x242,x243))
% 0.21/0.73 [25]~E(x251,x252)+E(f16(x253,x251),f16(x253,x252))
% 0.21/0.73 [26]~E(x261,x262)+E(f22(x261),f22(x262))
% 0.21/0.73 [27]~E(x271,x272)+E(f21(x271),f21(x272))
% 0.21/0.73 [28]~E(x281,x282)+E(f24(x281),f24(x282))
% 0.21/0.73 [29]~E(x291,x292)+E(f3(x291),f3(x292))
% 0.21/0.73 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.21/0.73 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.21/0.73 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 0.21/0.73 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 0.21/0.73 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 0.21/0.73 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 0.21/0.73 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 0.21/0.73 [37]~P8(x371)+P8(x372)+~E(x371,x372)
% 0.21/0.73 [38]P6(x382,x383)+~E(x381,x382)+~P6(x381,x383)
% 0.21/0.73 [39]P6(x393,x392)+~E(x391,x392)+~P6(x393,x391)
% 0.21/0.73 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 0.21/0.73 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 0.21/0.73 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 0.21/0.73 [43]~P7(x431)+P7(x432)+~E(x431,x432)
% 0.21/0.73 [44]~P9(x441)+P9(x442)+~E(x441,x442)
% 0.21/0.73
% 0.21/0.73 %-------------------------------------------
% 0.21/0.73 cnf(170,plain,
% 0.21/0.73 ($false),
% 0.21/0.73 inference(scs_inference,[],[49,70,117]),
% 0.21/0.73 ['proof']).
% 0.21/0.73 % SZS output end Proof
% 0.21/0.73 % Total time :0.010000s
%------------------------------------------------------------------------------