TSTP Solution File: SET090-7 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET090-7 : 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 : n007.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 14:28:37 EDT 2023
% Result : Unsatisfiable 0.71s 0.79s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET090-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 11:32:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.71/0.78 %-------------------------------------------
% 0.71/0.78 % File :CSE---1.6
% 0.71/0.78 % Problem :theBenchmark
% 0.71/0.78 % Transform :cnf
% 0.71/0.78 % Format :tptp:raw
% 0.71/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.71/0.78
% 0.71/0.78 % Result :Theorem 0.140000s
% 0.71/0.78 % Output :CNFRefutation 0.140000s
% 0.71/0.78 %-------------------------------------------
% 0.71/0.78 %--------------------------------------------------------------------------
% 0.71/0.78 % File : SET090-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.71/0.78 % Domain : Set Theory
% 0.71/0.78 % Problem : The member of a singleton set is unique
% 0.71/0.78 % Version : [Qua92] axioms : Augmented.
% 0.71/0.78 % English :
% 0.71/0.78
% 0.71/0.78 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.71/0.78 % Source : [Quaife]
% 0.71/0.78 % Names : SS7 [Qua92]
% 0.71/0.78
% 0.71/0.78 % Status : Unsatisfiable
% 0.71/0.78 % Rating : 0.05 v8.1.0, 0.11 v7.4.0, 0.12 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, 0.14 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.36 v4.1.0, 0.46 v4.0.1, 0.45 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.33 v3.3.0, 0.29 v3.2.0, 0.31 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.11 v2.5.0, 0.27 v2.4.0, 0.25 v2.2.1, 0.00 v2.1.0
% 0.71/0.78 % Syntax : Number of clauses : 135 ( 42 unt; 19 nHn; 91 RR)
% 0.71/0.78 % Number of literals : 269 ( 71 equ; 122 neg)
% 0.71/0.78 % Maximal clause size : 5 ( 1 avg)
% 0.71/0.78 % Maximal term depth : 6 ( 1 avg)
% 0.71/0.78 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.71/0.78 % Number of functors : 40 ( 40 usr; 9 con; 0-3 aty)
% 0.71/0.78 % Number of variables : 258 ( 46 sgn)
% 0.71/0.78 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.71/0.78
% 0.71/0.78 % Comments : Preceding lemmas are added.
% 0.71/0.78 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.71/0.78 %--------------------------------------------------------------------------
% 0.71/0.78 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.71/0.78 include('Axioms/SET004-0.ax').
% 0.71/0.78 %--------------------------------------------------------------------------
% 0.71/0.78 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 0.71/0.78 cnf(corollary_1_to_unordered_pair,axiom,
% 0.71/0.78 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.71/0.78 | member(X,unordered_pair(X,Y)) ) ).
% 0.71/0.78
% 0.71/0.78 cnf(corollary_2_to_unordered_pair,axiom,
% 0.71/0.78 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.71/0.78 | member(Y,unordered_pair(X,Y)) ) ).
% 0.71/0.78
% 0.71/0.78 %----Corollaries to Cartesian product axiom.
% 0.71/0.78 cnf(corollary_1_to_cartesian_product,axiom,
% 0.71/0.78 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.71/0.78 | member(U,universal_class) ) ).
% 0.71/0.78
% 0.71/0.78 cnf(corollary_2_to_cartesian_product,axiom,
% 0.71/0.78 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.71/0.78 | member(V,universal_class) ) ).
% 0.71/0.78
% 0.71/0.78 %---- PARTIAL ORDER.
% 0.71/0.78 %----(PO1): reflexive.
% 0.71/0.78 cnf(subclass_is_reflexive,axiom,
% 0.71/0.78 subclass(X,X) ).
% 0.71/0.78
% 0.71/0.78 %----(PO2): antisymmetry is part of A-3.
% 0.71/0.78 %----(x < y), (y < x) --> (x = y).
% 0.71/0.78
% 0.71/0.78 %----(PO3): transitivity.
% 0.71/0.78 cnf(transitivity_of_subclass,axiom,
% 0.71/0.78 ( ~ subclass(X,Y)
% 0.71/0.78 | ~ subclass(Y,Z)
% 0.71/0.78 | subclass(X,Z) ) ).
% 0.71/0.78
% 0.71/0.78 %---- EQUALITY.
% 0.71/0.78 %----(EQ1): equality axiom.
% 0.71/0.78 %----a:x:(x = x).
% 0.71/0.78 %----This is always an axiom in the TPTP presentation.
% 0.71/0.78
% 0.71/0.78 %----(EQ2): expanded equality definition.
% 0.71/0.78 cnf(equality1,axiom,
% 0.71/0.78 ( X = Y
% 0.71/0.78 | member(not_subclass_element(X,Y),X)
% 0.71/0.78 | member(not_subclass_element(Y,X),Y) ) ).
% 0.71/0.78
% 0.71/0.78 cnf(equality2,axiom,
% 0.71/0.78 ( ~ member(not_subclass_element(X,Y),Y)
% 0.71/0.78 | X = Y
% 0.71/0.78 | member(not_subclass_element(Y,X),Y) ) ).
% 0.71/0.78
% 0.71/0.78 cnf(equality3,axiom,
% 0.71/0.78 ( ~ member(not_subclass_element(Y,X),X)
% 0.71/0.78 | X = Y
% 0.71/0.78 | member(not_subclass_element(X,Y),X) ) ).
% 0.71/0.78
% 0.71/0.78 cnf(equality4,axiom,
% 0.71/0.78 ( ~ member(not_subclass_element(X,Y),Y)
% 0.71/0.78 | ~ member(not_subclass_element(Y,X),X)
% 0.71/0.78 | X = Y ) ).
% 0.71/0.78
% 0.71/0.78 %---- SPECIAL CLASSES.
% 0.71/0.78 %----(SP1): lemma.
% 0.71/0.78 cnf(special_classes_lemma,axiom,
% 0.71/0.78 ~ member(Y,intersection(complement(X),X)) ).
% 0.71/0.78
% 0.71/0.78 %----(SP2): Existence of O (null class).
% 0.71/0.78 %----e:x:a:z:(-(z e x)).
% 0.71/0.78 cnf(existence_of_null_class,axiom,
% 0.71/0.78 ~ member(Z,null_class) ).
% 0.71/0.78
% 0.71/0.78 %----(SP3): O is a subclass of every class.
% 0.71/0.78 cnf(null_class_is_subclass,axiom,
% 0.71/0.78 subclass(null_class,X) ).
% 0.71/0.78
% 0.71/0.78 %----corollary.
% 0.71/0.78 cnf(corollary_of_null_class_is_subclass,axiom,
% 0.71/0.78 ( ~ subclass(X,null_class)
% 0.71/0.78 | X = null_class ) ).
% 0.71/0.78
% 0.71/0.78 %----(SP4): uniqueness of null class.
% 0.71/0.78 cnf(null_class_is_unique,axiom,
% 0.71/0.78 ( Z = null_class
% 0.71/0.78 | member(not_subclass_element(Z,null_class),Z) ) ).
% 0.71/0.78
% 0.71/0.78 %----(SP5): O is a set (follows from axiom of infinity).
% 0.71/0.78 cnf(null_class_is_a_set,axiom,
% 0.71/0.78 member(null_class,universal_class) ).
% 0.71/0.78
% 0.71/0.78 %---- UNORDERED PAIRS.
% 0.71/0.78 %----(UP1): unordered pair is commutative.
% 0.71/0.78 cnf(commutativity_of_unordered_pair,axiom,
% 0.71/0.78 unordered_pair(X,Y) = unordered_pair(Y,X) ).
% 0.71/0.78
% 0.71/0.78 %----(UP2): if one argument is a proper class, pair contains only the
% 0.71/0.79 %----other. In a slightly different form to the paper
% 0.71/0.79 cnf(singleton_in_unordered_pair1,axiom,
% 0.71/0.79 subclass(singleton(X),unordered_pair(X,Y)) ).
% 0.71/0.79
% 0.71/0.79 cnf(singleton_in_unordered_pair2,axiom,
% 0.71/0.79 subclass(singleton(Y),unordered_pair(X,Y)) ).
% 0.71/0.79
% 0.71/0.79 cnf(unordered_pair_equals_singleton1,axiom,
% 0.71/0.79 ( member(Y,universal_class)
% 0.71/0.79 | unordered_pair(X,Y) = singleton(X) ) ).
% 0.71/0.79
% 0.71/0.79 cnf(unordered_pair_equals_singleton2,axiom,
% 0.71/0.79 ( member(X,universal_class)
% 0.71/0.79 | unordered_pair(X,Y) = singleton(Y) ) ).
% 0.71/0.79
% 0.71/0.79 %----(UP3): if both arguments are proper classes, pair is null.
% 0.71/0.79 cnf(null_unordered_pair,axiom,
% 0.71/0.79 ( unordered_pair(X,Y) = null_class
% 0.71/0.79 | member(X,universal_class)
% 0.71/0.79 | member(Y,universal_class) ) ).
% 0.71/0.79
% 0.71/0.79 %----(UP4): left cancellation for unordered pairs.
% 0.71/0.79 cnf(left_cancellation,axiom,
% 0.71/0.79 ( unordered_pair(X,Y) != unordered_pair(X,Z)
% 0.71/0.79 | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 0.71/0.79 | Y = Z ) ).
% 0.71/0.79
% 0.71/0.79 %----(UP5): right cancellation for unordered pairs.
% 0.71/0.79 cnf(right_cancellation,axiom,
% 0.71/0.79 ( unordered_pair(X,Z) != unordered_pair(Y,Z)
% 0.71/0.79 | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
% 0.71/0.79 | X = Y ) ).
% 0.71/0.79
% 0.71/0.79 %----(UP6): corollary to (A-4).
% 0.71/0.79 cnf(corollary_to_unordered_pair_axiom1,axiom,
% 0.71/0.79 ( ~ member(X,universal_class)
% 0.71/0.79 | unordered_pair(X,Y) != null_class ) ).
% 0.71/0.79
% 0.71/0.79 cnf(corollary_to_unordered_pair_axiom2,axiom,
% 0.71/0.79 ( ~ member(Y,universal_class)
% 0.71/0.79 | unordered_pair(X,Y) != null_class ) ).
% 0.71/0.79
% 0.71/0.79 %----corollary to instantiate variables.
% 0.71/0.79 %----Not in the paper
% 0.71/0.79 cnf(corollary_to_unordered_pair_axiom3,axiom,
% 0.71/0.79 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.71/0.79 | unordered_pair(X,Y) != null_class ) ).
% 0.71/0.79
% 0.71/0.79 %----(UP7): if both members of a pair belong to a set, the pair
% 0.71/0.79 %----is a subset.
% 0.71/0.79 cnf(unordered_pair_is_subset,axiom,
% 0.71/0.79 ( ~ member(X,Z)
% 0.71/0.79 | ~ member(Y,Z)
% 0.71/0.79 | subclass(unordered_pair(X,Y),Z) ) ).
% 0.71/0.79
% 0.71/0.79 %---- SINGLETONS.
% 0.71/0.79 %----(SS1): every singleton is a set.
% 0.71/0.79 cnf(singletons_are_sets,axiom,
% 0.71/0.79 member(singleton(X),universal_class) ).
% 0.71/0.79
% 0.71/0.79 %----corollary, not in the paper.
% 0.71/0.79 cnf(corollary_1_to_singletons_are_sets,axiom,
% 0.71/0.79 member(singleton(Y),unordered_pair(X,singleton(Y))) ).
% 0.71/0.79
% 0.71/0.79 %----(SS2): a set belongs to its singleton.
% 0.71/0.79 %----(u = x), (u e universal_class) --> (u e {x}).
% 0.71/0.79 cnf(set_in_its_singleton,axiom,
% 0.71/0.79 ( ~ member(X,universal_class)
% 0.71/0.79 | member(X,singleton(X)) ) ).
% 0.71/0.79
% 0.71/0.79 %----corollary
% 0.71/0.79 cnf(corollary_to_set_in_its_singleton,axiom,
% 0.71/0.79 ( ~ member(X,universal_class)
% 0.71/0.79 | singleton(X) != null_class ) ).
% 0.71/0.79
% 0.71/0.79 %----Not in the paper
% 0.71/0.79 cnf(null_class_in_its_singleton,axiom,
% 0.71/0.79 member(null_class,singleton(null_class)) ).
% 0.71/0.79
% 0.71/0.79 %----(SS3): only x can belong to {x}.
% 0.71/0.79 cnf(only_member_in_singleton,axiom,
% 0.71/0.79 ( ~ member(Y,singleton(X))
% 0.71/0.79 | Y = X ) ).
% 0.71/0.79
% 0.71/0.79 %----(SS4): if x is not a set, {x} = O.
% 0.71/0.79 cnf(singleton_is_null_class,axiom,
% 0.71/0.79 ( member(X,universal_class)
% 0.71/0.79 | singleton(X) = null_class ) ).
% 0.71/0.79
% 0.71/0.79 %----(SS5): a singleton set is determined by its element.
% 0.71/0.79 cnf(singleton_identified_by_element1,axiom,
% 0.71/0.79 ( singleton(X) != singleton(Y)
% 0.71/0.79 | ~ member(X,universal_class)
% 0.71/0.79 | X = Y ) ).
% 0.71/0.79
% 0.71/0.79 cnf(singleton_identified_by_element2,axiom,
% 0.71/0.79 ( singleton(X) != singleton(Y)
% 0.71/0.79 | ~ member(Y,universal_class)
% 0.71/0.79 | X = Y ) ).
% 0.71/0.79
% 0.71/0.79 %----(SS5.5).
% 0.71/0.79 %----Not in the paper
% 0.71/0.79 cnf(singleton_in_unordered_pair3,axiom,
% 0.71/0.79 ( unordered_pair(Y,Z) != singleton(X)
% 0.71/0.79 | ~ member(X,universal_class)
% 0.71/0.79 | X = Y
% 0.71/0.79 | X = Z ) ).
% 0.71/0.79
% 0.71/0.79 %----(SS6): existence of memb.
% 0.71/0.79 %----a:x:e:u:(((u e universal_class) & x = {u}) | (-e:y:((y
% 0.71/0.79 %----e universal_class) & x = {y}) & u = x)).
% 0.71/0.79 cnf(member_exists1,axiom,
% 0.71/0.79 ( ~ member(Y,universal_class)
% 0.71/0.79 | member(member_of(singleton(Y)),universal_class) ) ).
% 0.71/0.79
% 0.71/0.79 cnf(member_exists2,axiom,
% 0.71/0.79 ( ~ member(Y,universal_class)
% 0.71/0.79 | singleton(member_of(singleton(Y))) = singleton(Y) ) ).
% 0.71/0.79
% 0.71/0.79 cnf(member_exists3,axiom,
% 0.71/0.79 ( member(member_of(X),universal_class)
% 0.71/0.79 | member_of(X) = X ) ).
% 0.71/0.79
% 0.71/0.79 cnf(member_exists4,axiom,
% 0.71/0.79 ( singleton(member_of(X)) = X
% 0.71/0.79 | member_of(X) = X ) ).
% 0.71/0.79
% 0.71/0.79 cnf(prove_member_of_singleton_is_unique_1,negated_conjecture,
% 0.71/0.79 member(u,universal_class) ).
% 0.71/0.79
% 0.71/0.79 cnf(prove_member_of_singleton_is_unique_2,negated_conjecture,
% 0.71/0.79 member_of(singleton(u)) != u ).
% 0.71/0.79
% 0.71/0.79 %--------------------------------------------------------------------------
% 0.71/0.79 %-------------------------------------------
% 0.71/0.79 % Proof found
% 0.71/0.79 % SZS status Theorem for theBenchmark
% 0.71/0.79 % SZS output start Proof
% 0.71/0.79 %ClaNum:163(EqnAxiom:43)
% 0.71/0.79 %VarNum:920(SingletonVarNum:227)
% 0.71/0.79 %MaxLitNum:5
% 0.71/0.79 %MaxfuncDepth:24
% 0.71/0.79 %SharedTerms:37
% 0.71/0.79 %goalClause: 48 69
% 0.71/0.79 %singleGoalClaCount:2
% 0.71/0.79 [44]P1(a1)
% 0.71/0.79 [45]P2(a2)
% 0.71/0.79 [46]P5(a4,a18)
% 0.71/0.79 [47]P5(a1,a18)
% 0.71/0.79 [48]P5(a19,a18)
% 0.71/0.79 [53]P6(a5,f6(a18,a18))
% 0.71/0.79 [54]P6(a20,f6(a18,a18))
% 0.71/0.79 [55]P5(a4,f25(a4,a4))
% 0.71/0.79 [69]~E(f14(f25(a19,a19)),a19)
% 0.71/0.79 [64]E(f10(f9(f11(f6(a23,a18))),a23),a13)
% 0.71/0.79 [66]E(f10(f6(a18,a18),f10(f6(a18,a18),f8(f7(f8(a5),f9(f11(f6(a5,a18))))))),a23)
% 0.71/0.79 [49]P6(x491,a18)
% 0.71/0.79 [50]P6(a4,x501)
% 0.71/0.79 [51]P6(x511,x511)
% 0.71/0.79 [68]~P5(x681,a4)
% 0.71/0.79 [62]P6(f21(x621),f6(f6(a18,a18),a18))
% 0.71/0.79 [63]P6(f11(x631),f6(f6(a18,a18),a18))
% 0.71/0.79 [67]E(f10(f9(x671),f8(f9(f10(f7(f9(f11(f6(a5,a18))),x671),a13)))),f3(x671))
% 0.71/0.79 [52]E(f25(x521,x522),f25(x522,x521))
% 0.71/0.79 [56]P5(f25(x561,x562),a18)
% 0.71/0.79 [58]P6(f7(x581,x582),f6(a18,a18))
% 0.71/0.79 [59]P6(f25(x591,x591),f25(x592,x591))
% 0.71/0.79 [60]P6(f25(x601,x601),f25(x601,x602))
% 0.71/0.79 [65]P5(f25(x651,x651),f25(x652,f25(x651,x651)))
% 0.71/0.79 [70]~P5(x701,f10(f8(x702),x702))
% 0.71/0.79 [61]E(f10(f6(x611,x612),x613),f10(x613,f6(x611,x612)))
% 0.71/0.79 [71]~P7(x711)+P2(x711)
% 0.71/0.79 [72]~P8(x721)+P2(x721)
% 0.71/0.79 [75]~P1(x751)+P6(a1,x751)
% 0.71/0.79 [76]~P1(x761)+P5(a4,x761)
% 0.71/0.79 [77]~P6(x771,a4)+E(x771,a4)
% 0.71/0.79 [79]P5(f22(x791),x791)+E(x791,a4)
% 0.71/0.79 [80]E(f14(x801),x801)+P5(f14(x801),a18)
% 0.71/0.79 [81]P5(x811,a18)+E(f25(x811,x811),a4)
% 0.71/0.79 [83]E(x831,a4)+P5(f15(x831,a4),x831)
% 0.71/0.79 [87]~P2(x871)+P6(x871,f6(a18,a18))
% 0.71/0.79 [78]E(x781,a4)+E(f10(x781,f22(x781)),a4)
% 0.71/0.79 [82]E(f14(x821),x821)+E(f25(f14(x821),f14(x821)),x821)
% 0.71/0.79 [115]~P5(x1151,a18)+P5(f14(f25(x1151,x1151)),a18)
% 0.71/0.79 [100]~P8(x1001)+E(f6(f9(f9(x1001)),f9(f9(x1001))),f9(x1001))
% 0.71/0.79 [119]~P7(x1191)+P2(f9(f11(f6(x1191,a18))))
% 0.71/0.79 [123]~P5(x1231,a18)+E(f25(f14(f25(x1231,x1231)),f14(f25(x1231,x1231))),f25(x1231,x1231))
% 0.71/0.79 [125]~P5(x1251,a18)+P5(f9(f10(a5,f6(a18,x1251))),a18)
% 0.71/0.79 [127]~P9(x1271)+P6(f7(x1271,f9(f11(f6(x1271,a18)))),a13)
% 0.71/0.79 [128]~P2(x1281)+P6(f7(x1281,f9(f11(f6(x1281,a18)))),a13)
% 0.71/0.79 [129]~P8(x1291)+P6(f9(f9(f11(f6(x1291,a18)))),f9(f9(x1291)))
% 0.71/0.79 [134]P9(x1341)+~P6(f7(x1341,f9(f11(f6(x1341,a18)))),a13)
% 0.71/0.79 [150]~P1(x1501)+P6(f9(f9(f11(f6(f10(a20,f6(x1501,a18)),a18)))),x1501)
% 0.71/0.79 [154]~P5(x1541,a18)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1541),a18)),a18))))),a18)
% 0.71/0.79 [73]~E(x732,x731)+P6(x731,x732)
% 0.71/0.79 [74]~E(x741,x742)+P6(x741,x742)
% 0.71/0.79 [85]P5(x852,a18)+E(f25(x851,x852),f25(x851,x851))
% 0.71/0.79 [86]P5(x861,a18)+E(f25(x861,x862),f25(x862,x862))
% 0.71/0.79 [88]~P5(x882,a18)+~E(f25(x881,x882),a4)
% 0.71/0.79 [89]~P5(x891,a18)+~E(f25(x891,x892),a4)
% 0.71/0.79 [92]P6(x921,x922)+P5(f15(x921,x922),x921)
% 0.71/0.79 [93]~P5(x931,x932)+~P5(x931,f8(x932))
% 0.71/0.79 [97]~P5(x971,a18)+P5(x971,f25(x972,x971))
% 0.71/0.79 [98]~P5(x981,a18)+P5(x981,f25(x981,x982))
% 0.71/0.79 [101]E(x1011,x1012)+~P5(x1011,f25(x1012,x1012))
% 0.71/0.79 [108]P6(x1081,x1082)+~P5(f15(x1081,x1082),x1082)
% 0.71/0.79 [124]~P5(x1242,f9(x1241))+~E(f10(x1241,f6(f25(x1242,x1242),a18)),a4)
% 0.71/0.79 [133]P5(x1331,x1332)+~P5(f25(f25(x1331,x1331),f25(x1331,f25(x1332,x1332))),a5)
% 0.71/0.79 [147]~P5(f25(f25(x1471,x1471),f25(x1471,f25(x1472,x1472))),a20)+E(f8(f10(f8(x1471),f8(f25(x1471,x1471)))),x1472)
% 0.71/0.79 [112]P2(x1121)+~P3(x1121,x1122,x1123)
% 0.71/0.79 [113]P8(x1131)+~P4(x1132,x1133,x1131)
% 0.71/0.79 [114]P8(x1141)+~P4(x1142,x1141,x1143)
% 0.71/0.79 [122]~P4(x1221,x1222,x1223)+P3(x1221,x1222,x1223)
% 0.71/0.79 [106]P5(x1061,x1062)+~P5(x1061,f10(x1063,x1062))
% 0.71/0.79 [107]P5(x1071,x1072)+~P5(x1071,f10(x1072,x1073))
% 0.71/0.79 [116]~P3(x1162,x1161,x1163)+E(f9(f9(x1161)),f9(x1162))
% 0.71/0.79 [130]~P5(x1301,f6(x1302,x1303))+E(f25(f25(f12(x1301),f12(x1301)),f25(f12(x1301),f25(f24(x1301),f24(x1301)))),x1301)
% 0.71/0.79 [132]~P3(x1321,x1323,x1322)+P6(f9(f9(f11(f6(x1321,a18)))),f9(f9(x1322)))
% 0.71/0.79 [135]P5(x1351,a18)+~P5(f25(f25(x1352,x1352),f25(x1352,f25(x1351,x1351))),f6(x1353,x1354))
% 0.71/0.79 [136]P5(x1361,a18)+~P5(f25(f25(x1361,x1361),f25(x1361,f25(x1362,x1362))),f6(x1363,x1364))
% 0.71/0.79 [137]P5(x1371,x1372)+~P5(f25(f25(x1373,x1373),f25(x1373,f25(x1371,x1371))),f6(x1374,x1372))
% 0.71/0.79 [138]P5(x1381,x1382)+~P5(f25(f25(x1381,x1381),f25(x1381,f25(x1383,x1383))),f6(x1382,x1384))
% 0.71/0.79 [139]~E(f25(x1391,x1392),a4)+~P5(f25(f25(x1391,x1391),f25(x1391,f25(x1392,x1392))),f6(x1393,x1394))
% 0.71/0.79 [143]P5(x1431,f25(x1432,x1431))+~P5(f25(f25(x1432,x1432),f25(x1432,f25(x1431,x1431))),f6(x1433,x1434))
% 0.71/0.79 [144]P5(x1441,f25(x1441,x1442))+~P5(f25(f25(x1441,x1441),f25(x1441,f25(x1442,x1442))),f6(x1443,x1444))
% 0.71/0.79 [155]~P5(f25(f25(f25(f25(x1553,x1553),f25(x1553,f25(x1551,x1551))),f25(f25(x1553,x1553),f25(x1553,f25(x1551,x1551)))),f25(f25(f25(x1553,x1553),f25(x1553,f25(x1551,x1551))),f25(x1552,x1552))),f21(x1554))+P5(f25(f25(f25(f25(x1551,x1551),f25(x1551,f25(x1552,x1552))),f25(f25(x1551,x1551),f25(x1551,f25(x1552,x1552)))),f25(f25(f25(x1551,x1551),f25(x1551,f25(x1552,x1552))),f25(x1553,x1553))),x1554)
% 0.71/0.79 [156]~P5(f25(f25(f25(f25(x1562,x1562),f25(x1562,f25(x1561,x1561))),f25(f25(x1562,x1562),f25(x1562,f25(x1561,x1561)))),f25(f25(f25(x1562,x1562),f25(x1562,f25(x1561,x1561))),f25(x1563,x1563))),f11(x1564))+P5(f25(f25(f25(f25(x1561,x1561),f25(x1561,f25(x1562,x1562))),f25(f25(x1561,x1561),f25(x1561,f25(x1562,x1562)))),f25(f25(f25(x1561,x1561),f25(x1561,f25(x1562,x1562))),f25(x1563,x1563))),x1564)
% 0.71/0.79 [160]~P5(f25(f25(x1604,x1604),f25(x1604,f25(x1601,x1601))),f7(x1602,x1603))+P5(x1601,f9(f9(f11(f6(f10(x1602,f6(f9(f9(f11(f6(f10(x1603,f6(f25(x1604,x1604),a18)),a18)))),a18)),a18)))))
% 0.71/0.79 [126]~P2(x1261)+P7(x1261)+~P2(f9(f11(f6(x1261,a18))))
% 0.71/0.79 [140]P2(x1401)+~P6(x1401,f6(a18,a18))+~P6(f7(x1401,f9(f11(f6(x1401,a18)))),a13)
% 0.71/0.79 [152]P1(x1521)+~P5(a4,x1521)+~P6(f9(f9(f11(f6(f10(a20,f6(x1521,a18)),a18)))),x1521)
% 0.71/0.79 [159]~P5(x1591,a18)+E(x1591,a4)+P5(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(a2,f6(f25(x1591,x1591),a18)),a18))))))),x1591)
% 0.71/0.79 [91]~P6(x912,x911)+~P6(x911,x912)+E(x911,x912)
% 0.71/0.79 [84]P5(x842,a18)+P5(x841,a18)+E(f25(x841,x842),a4)
% 0.71/0.79 [94]P5(x941,x942)+P5(x941,f8(x942))+~P5(x941,a18)
% 0.71/0.79 [102]E(x1021,x1022)+~E(f25(x1021,x1021),f25(x1022,x1022))+~P5(x1022,a18)
% 0.71/0.79 [103]E(x1031,x1032)+~E(f25(x1031,x1031),f25(x1032,x1032))+~P5(x1031,a18)
% 0.71/0.79 [109]E(x1091,x1092)+P5(f15(x1092,x1091),x1092)+P5(f15(x1091,x1092),x1091)
% 0.71/0.79 [118]E(x1181,x1182)+P5(f15(x1182,x1181),x1182)+~P5(f15(x1181,x1182),x1182)
% 0.71/0.79 [120]E(x1201,x1202)+~P5(f15(x1202,x1201),x1201)+~P5(f15(x1201,x1202),x1202)
% 0.71/0.79 [121]P5(x1212,f9(x1211))+~P5(x1212,a18)+E(f10(x1211,f6(f25(x1212,x1212),a18)),a4)
% 0.71/0.79 [148]~P5(x1481,x1482)+~P5(f25(f25(x1481,x1481),f25(x1481,f25(x1482,x1482))),f6(a18,a18))+P5(f25(f25(x1481,x1481),f25(x1481,f25(x1482,x1482))),a5)
% 0.71/0.79 [149]~P5(f25(f25(x1491,x1491),f25(x1491,f25(x1492,x1492))),f6(a18,a18))+~E(f8(f10(f8(x1491),f8(f25(x1491,x1491)))),x1492)+P5(f25(f25(x1491,x1491),f25(x1491,f25(x1492,x1492))),a20)
% 0.71/0.79 [151]~P2(x1511)+~P5(x1512,a18)+P5(f9(f9(f11(f6(f10(x1511,f6(x1512,a18)),a18)))),a18)
% 0.71/0.79 [95]~P6(x951,x953)+P6(x951,x952)+~P6(x953,x952)
% 0.71/0.79 [96]~P5(x961,x963)+P5(x961,x962)+~P6(x963,x962)
% 0.71/0.79 [104]E(x1041,x1042)+E(x1041,x1043)+~P5(x1041,f25(x1043,x1042))
% 0.71/0.79 [110]~P5(x1101,x1103)+~P5(x1101,x1102)+P5(x1101,f10(x1102,x1103))
% 0.71/0.79 [111]~P5(x1112,x1113)+~P5(x1111,x1113)+P6(f25(x1111,x1112),x1113)
% 0.71/0.79 [141]E(x1411,x1412)+~E(f25(x1413,x1411),f25(x1413,x1412))+~P5(f25(f25(x1411,x1411),f25(x1411,f25(x1412,x1412))),f6(a18,a18))
% 0.71/0.79 [142]E(x1421,x1422)+~E(f25(x1421,x1423),f25(x1422,x1423))+~P5(f25(f25(x1421,x1421),f25(x1421,f25(x1422,x1422))),f6(a18,a18))
% 0.71/0.79 [131]~P5(x1312,x1314)+~P5(x1311,x1313)+P5(f25(f25(x1311,x1311),f25(x1311,f25(x1312,x1312))),f6(x1313,x1314))
% 0.71/0.79 [157]~P5(f25(f25(f25(f25(x1572,x1572),f25(x1572,f25(x1573,x1573))),f25(f25(x1572,x1572),f25(x1572,f25(x1573,x1573)))),f25(f25(f25(x1572,x1572),f25(x1572,f25(x1573,x1573))),f25(x1571,x1571))),x1574)+P5(f25(f25(f25(f25(x1571,x1571),f25(x1571,f25(x1572,x1572))),f25(f25(x1571,x1571),f25(x1571,f25(x1572,x1572)))),f25(f25(f25(x1571,x1571),f25(x1571,f25(x1572,x1572))),f25(x1573,x1573))),f21(x1574))+~P5(f25(f25(f25(f25(x1571,x1571),f25(x1571,f25(x1572,x1572))),f25(f25(x1571,x1571),f25(x1571,f25(x1572,x1572)))),f25(f25(f25(x1571,x1571),f25(x1571,f25(x1572,x1572))),f25(x1573,x1573))),f6(f6(a18,a18),a18))
% 0.71/0.79 [158]~P5(f25(f25(f25(f25(x1582,x1582),f25(x1582,f25(x1581,x1581))),f25(f25(x1582,x1582),f25(x1582,f25(x1581,x1581)))),f25(f25(f25(x1582,x1582),f25(x1582,f25(x1581,x1581))),f25(x1583,x1583))),x1584)+P5(f25(f25(f25(f25(x1581,x1581),f25(x1581,f25(x1582,x1582))),f25(f25(x1581,x1581),f25(x1581,f25(x1582,x1582)))),f25(f25(f25(x1581,x1581),f25(x1581,f25(x1582,x1582))),f25(x1583,x1583))),f11(x1584))+~P5(f25(f25(f25(f25(x1581,x1581),f25(x1581,f25(x1582,x1582))),f25(f25(x1581,x1581),f25(x1581,f25(x1582,x1582)))),f25(f25(f25(x1581,x1581),f25(x1581,f25(x1582,x1582))),f25(x1583,x1583))),f6(f6(a18,a18),a18))
% 0.71/0.79 [161]P5(f25(f25(x1611,x1611),f25(x1611,f25(x1612,x1612))),f7(x1613,x1614))+~P5(f25(f25(x1611,x1611),f25(x1611,f25(x1612,x1612))),f6(a18,a18))+~P5(x1612,f9(f9(f11(f6(f10(x1613,f6(f9(f9(f11(f6(f10(x1614,f6(f25(x1611,x1611),a18)),a18)))),a18)),a18)))))
% 0.71/0.79 [162]~P4(x1622,x1625,x1621)+~P5(f25(f25(x1623,x1623),f25(x1623,f25(x1624,x1624))),f9(x1625))+E(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1621,f6(f25(f25(f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1623,x1623),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1623,x1623),a18)),a18)))))))),f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1623,x1623),a18)),a18))))))),f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1624,x1624),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1624,x1624),a18)),a18)))))))))),f25(f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1623,x1623),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1623,x1623),a18)),a18)))))))),f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1623,x1623),a18)),a18))))))),f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1624,x1624),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(x1624,x1624),a18)),a18))))))))))),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1622,f6(f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1625,f6(f25(f25(f25(x1623,x1623),f25(x1623,f25(x1624,x1624))),f25(f25(x1623,x1623),f25(x1623,f25(x1624,x1624)))),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1625,f6(f25(f25(f25(x1623,x1623),f25(x1623,f25(x1624,x1624))),f25(f25(x1623,x1623),f25(x1623,f25(x1624,x1624)))),a18)),a18)))))))),a18)),a18))))))))
% 0.71/0.79 [146]~P2(x1461)+P8(x1461)+~E(f6(f9(f9(x1461)),f9(f9(x1461))),f9(x1461))+~P6(f9(f9(f11(f6(x1461,a18)))),f9(f9(x1461)))
% 0.71/0.79 [105]E(x1051,x1052)+E(x1053,x1052)+~E(f25(x1053,x1051),f25(x1052,x1052))+~P5(x1052,a18)
% 0.71/0.79 [145]~P2(x1451)+P3(x1451,x1452,x1453)+~E(f9(f9(x1452)),f9(x1451))+~P6(f9(f9(f11(f6(x1451,a18)))),f9(f9(x1453)))
% 0.71/0.79 [153]~P8(x1533)+~P8(x1532)+~P3(x1531,x1532,x1533)+P4(x1531,x1532,x1533)+P5(f25(f25(f16(x1531,x1532,x1533),f16(x1531,x1532,x1533)),f25(f16(x1531,x1532,x1533),f25(f17(x1531,x1532,x1533),f17(x1531,x1532,x1533)))),f9(x1532))
% 0.71/0.79 [163]~P8(x1633)+~P8(x1632)+~P3(x1631,x1632,x1633)+P4(x1631,x1632,x1633)+~E(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1633,f6(f25(f25(f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),a18)),a18)))))))),f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),a18)),a18))))))),f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f17(x1631,x1632,x1633),f17(x1631,x1632,x1633)),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f17(x1631,x1632,x1633),f17(x1631,x1632,x1633)),a18)),a18)))))))))),f25(f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),a18)),a18)))))))),f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),a18)),a18))))))),f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f17(x1631,x1632,x1633),f17(x1631,x1632,x1633)),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f17(x1631,x1632,x1633),f17(x1631,x1632,x1633)),a18)),a18))))))))))),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1631,f6(f25(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1632,f6(f25(f25(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),f25(f16(x1631,x1632,x1633),f25(f17(x1631,x1632,x1633),f17(x1631,x1632,x1633)))),f25(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),f25(f16(x1631,x1632,x1633),f25(f17(x1631,x1632,x1633),f17(x1631,x1632,x1633))))),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1632,f6(f25(f25(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),f25(f16(x1631,x1632,x1633),f25(f17(x1631,x1632,x1633),f17(x1631,x1632,x1633)))),f25(f25(f16(x1631,x1632,x1633),f16(x1631,x1632,x1633)),f25(f16(x1631,x1632,x1633),f25(f17(x1631,x1632,x1633),f17(x1631,x1632,x1633))))),a18)),a18)))))))),a18)),a18))))))))
% 0.71/0.79 %EqnAxiom
% 0.71/0.79 [1]E(x11,x11)
% 0.71/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.71/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.71/0.79 [4]~E(x41,x42)+E(f25(x41,x43),f25(x42,x43))
% 0.71/0.79 [5]~E(x51,x52)+E(f25(x53,x51),f25(x53,x52))
% 0.71/0.79 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 0.71/0.79 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 0.71/0.79 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 0.71/0.79 [9]~E(x91,x92)+E(f11(x91),f11(x92))
% 0.71/0.79 [10]~E(x101,x102)+E(f10(x101,x103),f10(x102,x103))
% 0.71/0.79 [11]~E(x111,x112)+E(f10(x113,x111),f10(x113,x112))
% 0.71/0.79 [12]~E(x121,x122)+E(f8(x121),f8(x122))
% 0.71/0.79 [13]~E(x131,x132)+E(f7(x131,x133),f7(x132,x133))
% 0.71/0.79 [14]~E(x141,x142)+E(f7(x143,x141),f7(x143,x142))
% 0.71/0.79 [15]~E(x151,x152)+E(f17(x151,x153,x154),f17(x152,x153,x154))
% 0.71/0.79 [16]~E(x161,x162)+E(f17(x163,x161,x164),f17(x163,x162,x164))
% 0.71/0.79 [17]~E(x171,x172)+E(f17(x173,x174,x171),f17(x173,x174,x172))
% 0.71/0.79 [18]~E(x181,x182)+E(f16(x181,x183,x184),f16(x182,x183,x184))
% 0.71/0.79 [19]~E(x191,x192)+E(f16(x193,x191,x194),f16(x193,x192,x194))
% 0.71/0.79 [20]~E(x201,x202)+E(f16(x203,x204,x201),f16(x203,x204,x202))
% 0.71/0.79 [21]~E(x211,x212)+E(f14(x211),f14(x212))
% 0.71/0.79 [22]~E(x221,x222)+E(f21(x221),f21(x222))
% 0.71/0.79 [23]~E(x231,x232)+E(f15(x231,x233),f15(x232,x233))
% 0.71/0.79 [24]~E(x241,x242)+E(f15(x243,x241),f15(x243,x242))
% 0.71/0.79 [25]~E(x251,x252)+E(f12(x251),f12(x252))
% 0.71/0.79 [26]~E(x261,x262)+E(f3(x261),f3(x262))
% 0.71/0.79 [27]~E(x271,x272)+E(f22(x271),f22(x272))
% 0.71/0.79 [28]~E(x281,x282)+E(f24(x281),f24(x282))
% 0.71/0.79 [29]~P1(x291)+P1(x292)+~E(x291,x292)
% 0.71/0.79 [30]~P2(x301)+P2(x302)+~E(x301,x302)
% 0.71/0.79 [31]P5(x312,x313)+~E(x311,x312)+~P5(x311,x313)
% 0.71/0.79 [32]P5(x323,x322)+~E(x321,x322)+~P5(x323,x321)
% 0.71/0.79 [33]P3(x332,x333,x334)+~E(x331,x332)+~P3(x331,x333,x334)
% 0.71/0.79 [34]P3(x343,x342,x344)+~E(x341,x342)+~P3(x343,x341,x344)
% 0.71/0.79 [35]P3(x353,x354,x352)+~E(x351,x352)+~P3(x353,x354,x351)
% 0.71/0.79 [36]~P8(x361)+P8(x362)+~E(x361,x362)
% 0.71/0.79 [37]P6(x372,x373)+~E(x371,x372)+~P6(x371,x373)
% 0.71/0.79 [38]P6(x383,x382)+~E(x381,x382)+~P6(x383,x381)
% 0.71/0.79 [39]P4(x392,x393,x394)+~E(x391,x392)+~P4(x391,x393,x394)
% 0.71/0.79 [40]P4(x403,x402,x404)+~E(x401,x402)+~P4(x403,x401,x404)
% 0.71/0.79 [41]P4(x413,x414,x412)+~E(x411,x412)+~P4(x413,x414,x411)
% 0.71/0.79 [42]~P7(x421)+P7(x422)+~E(x421,x422)
% 0.71/0.79 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 0.71/0.79
% 0.71/0.79 %-------------------------------------------
% 0.71/0.79 cnf(166,plain,
% 0.71/0.79 (~P5(x1661,a4)),
% 0.71/0.79 inference(rename_variables,[],[68])).
% 0.71/0.79 cnf(169,plain,
% 0.71/0.79 (~P5(x1691,f10(f8(x1692),x1692))),
% 0.71/0.79 inference(rename_variables,[],[70])).
% 0.71/0.79 cnf(172,plain,
% 0.71/0.79 (~P5(x1721,f10(f8(x1722),x1722))),
% 0.71/0.79 inference(rename_variables,[],[70])).
% 0.71/0.79 cnf(177,plain,
% 0.71/0.79 (~P5(x1771,a4)),
% 0.71/0.79 inference(rename_variables,[],[68])).
% 0.71/0.79 cnf(180,plain,
% 0.71/0.79 (~P5(x1801,a4)),
% 0.71/0.79 inference(rename_variables,[],[68])).
% 0.71/0.79 cnf(183,plain,
% 0.71/0.79 (P6(x1831,x1831)),
% 0.71/0.79 inference(rename_variables,[],[51])).
% 0.71/0.79 cnf(187,plain,
% 0.71/0.79 (~P5(x1871,a4)),
% 0.71/0.79 inference(rename_variables,[],[68])).
% 0.71/0.79 cnf(195,plain,
% 0.71/0.79 (~P5(x1951,f10(f8(x1952),x1952))),
% 0.71/0.79 inference(rename_variables,[],[70])).
% 0.71/0.79 cnf(199,plain,
% 0.71/0.79 (~P5(x1991,a4)),
% 0.71/0.79 inference(rename_variables,[],[68])).
% 0.71/0.79 cnf(223,plain,
% 0.71/0.79 (~E(f25(a19,x2231),a4)),
% 0.71/0.79 inference(scs_inference,[],[48,51,183,49,68,166,177,180,187,199,44,45,46,55,64,66,59,70,169,172,195,2,76,83,92,124,156,155,38,37,32,29,3,96,152,110,109,74,73,87,154,150,125,107,106,98,97,93,89])).
% 0.71/0.79 cnf(256,plain,
% 0.71/0.79 (P5(f14(f25(a19,a19)),a18)),
% 0.71/0.79 inference(scs_inference,[],[48,51,183,49,68,166,177,180,187,199,44,45,46,55,64,66,59,70,169,172,195,2,76,83,92,124,156,155,38,37,32,29,3,96,152,110,109,74,73,87,154,150,125,107,106,98,97,93,89,88,79,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,128,115])).
% 0.71/0.80 cnf(263,plain,
% 0.71/0.80 (~P5(x2631,a4)),
% 0.71/0.80 inference(rename_variables,[],[68])).
% 0.71/0.80 cnf(269,plain,
% 0.71/0.80 (E(f25(f14(f25(a19,a19)),f14(f25(a19,a19))),f25(a19,a19))),
% 0.71/0.80 inference(scs_inference,[],[48,51,183,49,68,166,177,180,187,199,263,44,45,46,55,69,64,66,59,70,169,172,195,2,76,83,92,124,156,155,38,37,32,29,3,96,152,110,109,74,73,87,154,150,125,107,106,98,97,93,89,88,79,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,128,115,101,78,137,138,133,123])).
% 0.71/0.80 cnf(286,plain,
% 0.71/0.80 (P5(f25(x2861,x2862),a18)),
% 0.71/0.80 inference(rename_variables,[],[56])).
% 0.71/0.80 cnf(291,plain,
% 0.71/0.80 (P5(f25(f25(a19,a19),f25(a19,f25(a19,a19))),f6(a18,a18))),
% 0.71/0.80 inference(scs_inference,[],[48,51,183,49,50,68,166,177,180,187,199,263,44,45,46,55,69,64,66,56,286,59,70,169,172,195,2,76,83,92,124,156,155,38,37,32,29,3,96,152,110,109,74,73,87,154,150,125,107,106,98,97,93,89,88,79,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,128,115,101,78,137,138,133,123,31,30,91,94,151,111,104,159,103,102,131])).
% 0.71/0.80 cnf(324,plain,
% 0.71/0.80 ($false),
% 0.71/0.80 inference(scs_inference,[],[69,291,269,256,223,130,83,103]),
% 0.71/0.80 ['proof']).
% 0.71/0.80 % SZS output end Proof
% 0.71/0.80 % Total time :0.140000s
%------------------------------------------------------------------------------