TSTP Solution File: SET084-7 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 14:28:35 EDT 2023
% Result : Unsatisfiable 1.05s 1.17s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:03:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 1.05/1.16 %-------------------------------------------
% 1.05/1.16 % File :CSE---1.6
% 1.05/1.16 % Problem :theBenchmark
% 1.05/1.16 % Transform :cnf
% 1.05/1.16 % Format :tptp:raw
% 1.05/1.16 % Command :java -jar mcs_scs.jar %d %s
% 1.05/1.16
% 1.05/1.16 % Result :Theorem 0.510000s
% 1.05/1.16 % Output :CNFRefutation 0.510000s
% 1.05/1.16 %-------------------------------------------
% 1.05/1.16 %--------------------------------------------------------------------------
% 1.05/1.16 % File : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.05/1.16 % Domain : Set Theory
% 1.05/1.16 % Problem : A singleton set depends on its element, part 2
% 1.05/1.16 % Version : [Qua92] axioms : Augmented.
% 1.05/1.16 % English :
% 1.05/1.16
% 1.05/1.16 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.05/1.16 % Source : [Quaife]
% 1.05/1.16 % Names : SS5.2 [Qua92]
% 1.05/1.16
% 1.05/1.16 % Status : Unsatisfiable
% 1.05/1.16 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 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, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.18 v2.4.0, 0.12 v2.2.1, 0.00 v2.1.0
% 1.05/1.16 % Syntax : Number of clauses : 129 ( 43 unt; 16 nHn; 87 RR)
% 1.05/1.16 % Number of literals : 252 ( 61 equ; 114 neg)
% 1.05/1.16 % Maximal clause size : 5 ( 1 avg)
% 1.05/1.16 % Maximal term depth : 6 ( 1 avg)
% 1.05/1.16 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 1.05/1.16 % Number of functors : 40 ( 40 usr; 10 con; 0-3 aty)
% 1.05/1.16 % Number of variables : 247 ( 46 sgn)
% 1.05/1.16 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.05/1.16
% 1.05/1.16 % Comments : Preceding lemmas are added.
% 1.05/1.16 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 1.05/1.16 %--------------------------------------------------------------------------
% 1.05/1.16 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.05/1.16 include('Axioms/SET004-0.ax').
% 1.05/1.16 %--------------------------------------------------------------------------
% 1.05/1.16 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 1.05/1.16 cnf(corollary_1_to_unordered_pair,axiom,
% 1.05/1.16 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 1.05/1.16 | member(X,unordered_pair(X,Y)) ) ).
% 1.05/1.17
% 1.05/1.17 cnf(corollary_2_to_unordered_pair,axiom,
% 1.05/1.17 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 1.05/1.17 | member(Y,unordered_pair(X,Y)) ) ).
% 1.05/1.17
% 1.05/1.17 %----Corollaries to Cartesian product axiom.
% 1.05/1.17 cnf(corollary_1_to_cartesian_product,axiom,
% 1.05/1.17 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 1.05/1.17 | member(U,universal_class) ) ).
% 1.05/1.17
% 1.05/1.17 cnf(corollary_2_to_cartesian_product,axiom,
% 1.05/1.17 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 1.05/1.17 | member(V,universal_class) ) ).
% 1.05/1.17
% 1.05/1.17 %---- PARTIAL ORDER.
% 1.05/1.17 %----(PO1): reflexive.
% 1.05/1.17 cnf(subclass_is_reflexive,axiom,
% 1.05/1.17 subclass(X,X) ).
% 1.05/1.17
% 1.05/1.17 %----(PO2): antisymmetry is part of A-3.
% 1.05/1.17 %----(x < y), (y < x) --> (x = y).
% 1.05/1.17
% 1.05/1.17 %----(PO3): transitivity.
% 1.05/1.17 cnf(transitivity_of_subclass,axiom,
% 1.05/1.17 ( ~ subclass(X,Y)
% 1.05/1.17 | ~ subclass(Y,Z)
% 1.05/1.17 | subclass(X,Z) ) ).
% 1.05/1.17
% 1.05/1.17 %---- EQUALITY.
% 1.05/1.17 %----(EQ1): equality axiom.
% 1.05/1.17 %----a:x:(x = x).
% 1.05/1.17 %----This is always an axiom in the TPTP presentation.
% 1.05/1.17
% 1.05/1.17 %----(EQ2): expanded equality definition.
% 1.05/1.17 cnf(equality1,axiom,
% 1.05/1.17 ( X = Y
% 1.05/1.17 | member(not_subclass_element(X,Y),X)
% 1.05/1.17 | member(not_subclass_element(Y,X),Y) ) ).
% 1.05/1.17
% 1.05/1.17 cnf(equality2,axiom,
% 1.05/1.17 ( ~ member(not_subclass_element(X,Y),Y)
% 1.05/1.17 | X = Y
% 1.05/1.17 | member(not_subclass_element(Y,X),Y) ) ).
% 1.05/1.17
% 1.05/1.17 cnf(equality3,axiom,
% 1.05/1.17 ( ~ member(not_subclass_element(Y,X),X)
% 1.05/1.17 | X = Y
% 1.05/1.17 | member(not_subclass_element(X,Y),X) ) ).
% 1.05/1.17
% 1.05/1.17 cnf(equality4,axiom,
% 1.05/1.17 ( ~ member(not_subclass_element(X,Y),Y)
% 1.05/1.17 | ~ member(not_subclass_element(Y,X),X)
% 1.05/1.17 | X = Y ) ).
% 1.05/1.17
% 1.05/1.17 %---- SPECIAL CLASSES.
% 1.05/1.17 %----(SP1): lemma.
% 1.05/1.17 cnf(special_classes_lemma,axiom,
% 1.05/1.17 ~ member(Y,intersection(complement(X),X)) ).
% 1.05/1.17
% 1.05/1.17 %----(SP2): Existence of O (null class).
% 1.05/1.17 %----e:x:a:z:(-(z e x)).
% 1.05/1.17 cnf(existence_of_null_class,axiom,
% 1.05/1.17 ~ member(Z,null_class) ).
% 1.05/1.17
% 1.05/1.17 %----(SP3): O is a subclass of every class.
% 1.05/1.17 cnf(null_class_is_subclass,axiom,
% 1.05/1.17 subclass(null_class,X) ).
% 1.05/1.17
% 1.05/1.17 %----corollary.
% 1.05/1.17 cnf(corollary_of_null_class_is_subclass,axiom,
% 1.05/1.17 ( ~ subclass(X,null_class)
% 1.05/1.17 | X = null_class ) ).
% 1.05/1.17
% 1.05/1.17 %----(SP4): uniqueness of null class.
% 1.05/1.17 cnf(null_class_is_unique,axiom,
% 1.05/1.17 ( Z = null_class
% 1.05/1.17 | member(not_subclass_element(Z,null_class),Z) ) ).
% 1.05/1.17
% 1.05/1.17 %----(SP5): O is a set (follows from axiom of infinity).
% 1.05/1.17 cnf(null_class_is_a_set,axiom,
% 1.05/1.17 member(null_class,universal_class) ).
% 1.05/1.17
% 1.05/1.17 %---- UNORDERED PAIRS.
% 1.05/1.17 %----(UP1): unordered pair is commutative.
% 1.05/1.17 cnf(commutativity_of_unordered_pair,axiom,
% 1.05/1.17 unordered_pair(X,Y) = unordered_pair(Y,X) ).
% 1.05/1.17
% 1.05/1.17 %----(UP2): if one argument is a proper class, pair contains only the
% 1.05/1.17 %----other. In a slightly different form to the paper
% 1.05/1.17 cnf(singleton_in_unordered_pair1,axiom,
% 1.05/1.17 subclass(singleton(X),unordered_pair(X,Y)) ).
% 1.05/1.17
% 1.05/1.17 cnf(singleton_in_unordered_pair2,axiom,
% 1.05/1.17 subclass(singleton(Y),unordered_pair(X,Y)) ).
% 1.05/1.17
% 1.05/1.17 cnf(unordered_pair_equals_singleton1,axiom,
% 1.05/1.17 ( member(Y,universal_class)
% 1.05/1.17 | unordered_pair(X,Y) = singleton(X) ) ).
% 1.05/1.17
% 1.05/1.17 cnf(unordered_pair_equals_singleton2,axiom,
% 1.05/1.17 ( member(X,universal_class)
% 1.05/1.17 | unordered_pair(X,Y) = singleton(Y) ) ).
% 1.05/1.17
% 1.05/1.17 %----(UP3): if both arguments are proper classes, pair is null.
% 1.05/1.17 cnf(null_unordered_pair,axiom,
% 1.05/1.17 ( unordered_pair(X,Y) = null_class
% 1.05/1.17 | member(X,universal_class)
% 1.05/1.17 | member(Y,universal_class) ) ).
% 1.05/1.17
% 1.05/1.17 %----(UP4): left cancellation for unordered pairs.
% 1.05/1.17 cnf(left_cancellation,axiom,
% 1.05/1.17 ( unordered_pair(X,Y) != unordered_pair(X,Z)
% 1.05/1.17 | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 1.05/1.17 | Y = Z ) ).
% 1.05/1.17
% 1.05/1.17 %----(UP5): right cancellation for unordered pairs.
% 1.05/1.17 cnf(right_cancellation,axiom,
% 1.05/1.17 ( unordered_pair(X,Z) != unordered_pair(Y,Z)
% 1.05/1.17 | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
% 1.05/1.17 | X = Y ) ).
% 1.05/1.17
% 1.05/1.17 %----(UP6): corollary to (A-4).
% 1.05/1.17 cnf(corollary_to_unordered_pair_axiom1,axiom,
% 1.05/1.17 ( ~ member(X,universal_class)
% 1.05/1.17 | unordered_pair(X,Y) != null_class ) ).
% 1.05/1.17
% 1.05/1.17 cnf(corollary_to_unordered_pair_axiom2,axiom,
% 1.05/1.17 ( ~ member(Y,universal_class)
% 1.05/1.17 | unordered_pair(X,Y) != null_class ) ).
% 1.05/1.17
% 1.05/1.17 %----corollary to instantiate variables.
% 1.05/1.17 %----Not in the paper
% 1.05/1.17 cnf(corollary_to_unordered_pair_axiom3,axiom,
% 1.05/1.17 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 1.05/1.17 | unordered_pair(X,Y) != null_class ) ).
% 1.05/1.17
% 1.05/1.17 %----(UP7): if both members of a pair belong to a set, the pair
% 1.05/1.17 %----is a subset.
% 1.05/1.17 cnf(unordered_pair_is_subset,axiom,
% 1.05/1.17 ( ~ member(X,Z)
% 1.05/1.17 | ~ member(Y,Z)
% 1.05/1.17 | subclass(unordered_pair(X,Y),Z) ) ).
% 1.05/1.17
% 1.05/1.17 %---- SINGLETONS.
% 1.05/1.17 %----(SS1): every singleton is a set.
% 1.05/1.17 cnf(singletons_are_sets,axiom,
% 1.05/1.17 member(singleton(X),universal_class) ).
% 1.05/1.17
% 1.05/1.17 %----corollary, not in the paper.
% 1.05/1.17 cnf(corollary_1_to_singletons_are_sets,axiom,
% 1.05/1.17 member(singleton(Y),unordered_pair(X,singleton(Y))) ).
% 1.05/1.17
% 1.05/1.17 %----(SS2): a set belongs to its singleton.
% 1.05/1.17 %----(u = x), (u e universal_class) --> (u e {x}).
% 1.05/1.17 cnf(set_in_its_singleton,axiom,
% 1.05/1.17 ( ~ member(X,universal_class)
% 1.05/1.17 | member(X,singleton(X)) ) ).
% 1.05/1.17
% 1.05/1.17 %----corollary
% 1.05/1.17 cnf(corollary_to_set_in_its_singleton,axiom,
% 1.05/1.17 ( ~ member(X,universal_class)
% 1.05/1.17 | singleton(X) != null_class ) ).
% 1.05/1.17
% 1.05/1.17 %----Not in the paper
% 1.05/1.17 cnf(null_class_in_its_singleton,axiom,
% 1.05/1.17 member(null_class,singleton(null_class)) ).
% 1.05/1.17
% 1.05/1.17 %----(SS3): only x can belong to {x}.
% 1.05/1.17 cnf(only_member_in_singleton,axiom,
% 1.05/1.17 ( ~ member(Y,singleton(X))
% 1.05/1.17 | Y = X ) ).
% 1.05/1.17
% 1.05/1.17 %----(SS4): if x is not a set, {x} = O.
% 1.05/1.17 cnf(singleton_is_null_class,axiom,
% 1.05/1.17 ( member(X,universal_class)
% 1.05/1.17 | singleton(X) = null_class ) ).
% 1.05/1.17
% 1.05/1.17 cnf(prove_singleton_identified_by_element2_1,negated_conjecture,
% 1.05/1.17 singleton(x) = singleton(y) ).
% 1.05/1.17
% 1.05/1.17 cnf(prove_singleton_identified_by_element2_2,negated_conjecture,
% 1.05/1.17 member(y,universal_class) ).
% 1.05/1.17
% 1.05/1.17 cnf(prove_singleton_identified_by_element2_3,negated_conjecture,
% 1.05/1.17 x != y ).
% 1.05/1.17
% 1.05/1.17 %--------------------------------------------------------------------------
% 1.05/1.17 %-------------------------------------------
% 1.05/1.17 % Proof found
% 1.05/1.17 % SZS status Theorem for theBenchmark
% 1.05/1.17 % SZS output start Proof
% 1.05/1.17 %ClaNum:156(EqnAxiom:42)
% 1.05/1.17 %VarNum:879(SingletonVarNum:216)
% 1.05/1.17 %MaxLitNum:5
% 1.05/1.17 %MaxfuncDepth:24
% 1.05/1.17 %SharedTerms:39
% 1.05/1.17 %goalClause: 47 51 68
% 1.05/1.17 %singleGoalClaCount:3
% 1.05/1.17 [43]P1(a1)
% 1.05/1.17 [44]P2(a2)
% 1.05/1.17 [45]P5(a4,a17)
% 1.05/1.17 [46]P5(a1,a17)
% 1.05/1.17 [47]P5(a23,a17)
% 1.05/1.17 [68]~E(a24,a23)
% 1.05/1.17 [51]E(f25(a24,a24),f25(a23,a23))
% 1.05/1.17 [53]P6(a5,f6(a17,a17))
% 1.05/1.17 [54]P6(a18,f6(a17,a17))
% 1.05/1.17 [55]P5(a4,f25(a4,a4))
% 1.05/1.17 [64]E(f10(f9(f11(f6(a21,a17))),a21),a13)
% 1.05/1.17 [66]E(f10(f6(a17,a17),f10(f6(a17,a17),f8(f7(f8(a5),f9(f11(f6(a5,a17))))))),a21)
% 1.05/1.17 [48]P6(x481,a17)
% 1.05/1.17 [49]P6(a4,x491)
% 1.05/1.17 [50]P6(x501,x501)
% 1.05/1.17 [69]~P5(x691,a4)
% 1.05/1.17 [62]P6(f19(x621),f6(f6(a17,a17),a17))
% 1.05/1.17 [63]P6(f11(x631),f6(f6(a17,a17),a17))
% 1.05/1.17 [67]E(f10(f9(x671),f8(f9(f10(f7(f9(f11(f6(a5,a17))),x671),a13)))),f3(x671))
% 1.05/1.17 [52]E(f25(x521,x522),f25(x522,x521))
% 1.05/1.17 [56]P5(f25(x561,x562),a17)
% 1.05/1.17 [58]P6(f7(x581,x582),f6(a17,a17))
% 1.05/1.17 [59]P6(f25(x591,x591),f25(x592,x591))
% 1.05/1.17 [60]P6(f25(x601,x601),f25(x601,x602))
% 1.05/1.17 [65]P5(f25(x651,x651),f25(x652,f25(x651,x651)))
% 1.05/1.17 [70]~P5(x701,f10(f8(x702),x702))
% 1.05/1.17 [61]E(f10(f6(x611,x612),x613),f10(x613,f6(x611,x612)))
% 1.05/1.17 [71]~P7(x711)+P2(x711)
% 1.05/1.17 [72]~P8(x721)+P2(x721)
% 1.05/1.17 [75]~P1(x751)+P6(a1,x751)
% 1.05/1.17 [76]~P1(x761)+P5(a4,x761)
% 1.05/1.17 [77]~P6(x771,a4)+E(x771,a4)
% 1.05/1.17 [79]P5(f20(x791),x791)+E(x791,a4)
% 1.05/1.17 [80]P5(x801,a17)+E(f25(x801,x801),a4)
% 1.05/1.17 [81]E(x811,a4)+P5(f14(x811,a4),x811)
% 1.05/1.17 [85]~P2(x851)+P6(x851,f6(a17,a17))
% 1.05/1.17 [78]E(x781,a4)+E(f10(x781,f20(x781)),a4)
% 1.05/1.17 [98]~P8(x981)+E(f6(f9(f9(x981)),f9(f9(x981))),f9(x981))
% 1.05/1.17 [113]~P7(x1131)+P2(f9(f11(f6(x1131,a17))))
% 1.05/1.17 [118]~P5(x1181,a17)+P5(f9(f10(a5,f6(a17,x1181))),a17)
% 1.05/1.17 [120]~P9(x1201)+P6(f7(x1201,f9(f11(f6(x1201,a17)))),a13)
% 1.05/1.17 [121]~P2(x1211)+P6(f7(x1211,f9(f11(f6(x1211,a17)))),a13)
% 1.05/1.17 [122]~P8(x1221)+P6(f9(f9(f11(f6(x1221,a17)))),f9(f9(x1221)))
% 1.05/1.17 [127]P9(x1271)+~P6(f7(x1271,f9(f11(f6(x1271,a17)))),a13)
% 1.05/1.17 [143]~P1(x1431)+P6(f9(f9(f11(f6(f10(a18,f6(x1431,a17)),a17)))),x1431)
% 1.05/1.17 [147]~P5(x1471,a17)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1471),a17)),a17))))),a17)
% 1.05/1.17 [73]~E(x732,x731)+P6(x731,x732)
% 1.05/1.17 [74]~E(x741,x742)+P6(x741,x742)
% 1.05/1.17 [83]P5(x832,a17)+E(f25(x831,x832),f25(x831,x831))
% 1.05/1.17 [84]P5(x841,a17)+E(f25(x841,x842),f25(x842,x842))
% 1.05/1.17 [86]~P5(x862,a17)+~E(f25(x861,x862),a4)
% 1.05/1.17 [87]~P5(x871,a17)+~E(f25(x871,x872),a4)
% 1.05/1.17 [90]P6(x901,x902)+P5(f14(x901,x902),x901)
% 1.05/1.17 [91]~P5(x911,x912)+~P5(x911,f8(x912))
% 1.05/1.17 [95]~P5(x951,a17)+P5(x951,f25(x952,x951))
% 1.05/1.17 [96]~P5(x961,a17)+P5(x961,f25(x961,x962))
% 1.05/1.17 [99]E(x991,x992)+~P5(x991,f25(x992,x992))
% 1.05/1.17 [103]P6(x1031,x1032)+~P5(f14(x1031,x1032),x1032)
% 1.05/1.17 [117]~P5(x1172,f9(x1171))+~E(f10(x1171,f6(f25(x1172,x1172),a17)),a4)
% 1.05/1.17 [126]P5(x1261,x1262)+~P5(f25(f25(x1261,x1261),f25(x1261,f25(x1262,x1262))),a5)
% 1.05/1.17 [140]~P5(f25(f25(x1401,x1401),f25(x1401,f25(x1402,x1402))),a18)+E(f8(f10(f8(x1401),f8(f25(x1401,x1401)))),x1402)
% 1.05/1.17 [107]P2(x1071)+~P3(x1071,x1072,x1073)
% 1.05/1.17 [108]P8(x1081)+~P4(x1082,x1083,x1081)
% 1.05/1.17 [109]P8(x1091)+~P4(x1092,x1091,x1093)
% 1.05/1.17 [116]~P4(x1161,x1162,x1163)+P3(x1161,x1162,x1163)
% 1.05/1.17 [101]P5(x1011,x1012)+~P5(x1011,f10(x1013,x1012))
% 1.05/1.17 [102]P5(x1021,x1022)+~P5(x1021,f10(x1022,x1023))
% 1.05/1.17 [110]~P3(x1102,x1101,x1103)+E(f9(f9(x1101)),f9(x1102))
% 1.05/1.17 [123]~P5(x1231,f6(x1232,x1233))+E(f25(f25(f12(x1231),f12(x1231)),f25(f12(x1231),f25(f22(x1231),f22(x1231)))),x1231)
% 1.05/1.17 [125]~P3(x1251,x1253,x1252)+P6(f9(f9(f11(f6(x1251,a17)))),f9(f9(x1252)))
% 1.05/1.17 [128]P5(x1281,a17)+~P5(f25(f25(x1282,x1282),f25(x1282,f25(x1281,x1281))),f6(x1283,x1284))
% 1.05/1.17 [129]P5(x1291,a17)+~P5(f25(f25(x1291,x1291),f25(x1291,f25(x1292,x1292))),f6(x1293,x1294))
% 1.05/1.17 [130]P5(x1301,x1302)+~P5(f25(f25(x1303,x1303),f25(x1303,f25(x1301,x1301))),f6(x1304,x1302))
% 1.05/1.17 [131]P5(x1311,x1312)+~P5(f25(f25(x1311,x1311),f25(x1311,f25(x1313,x1313))),f6(x1312,x1314))
% 1.05/1.17 [132]~E(f25(x1321,x1322),a4)+~P5(f25(f25(x1321,x1321),f25(x1321,f25(x1322,x1322))),f6(x1323,x1324))
% 1.05/1.17 [136]P5(x1361,f25(x1362,x1361))+~P5(f25(f25(x1362,x1362),f25(x1362,f25(x1361,x1361))),f6(x1363,x1364))
% 1.05/1.17 [137]P5(x1371,f25(x1371,x1372))+~P5(f25(f25(x1371,x1371),f25(x1371,f25(x1372,x1372))),f6(x1373,x1374))
% 1.05/1.17 [148]~P5(f25(f25(f25(f25(x1483,x1483),f25(x1483,f25(x1481,x1481))),f25(f25(x1483,x1483),f25(x1483,f25(x1481,x1481)))),f25(f25(f25(x1483,x1483),f25(x1483,f25(x1481,x1481))),f25(x1482,x1482))),f19(x1484))+P5(f25(f25(f25(f25(x1481,x1481),f25(x1481,f25(x1482,x1482))),f25(f25(x1481,x1481),f25(x1481,f25(x1482,x1482)))),f25(f25(f25(x1481,x1481),f25(x1481,f25(x1482,x1482))),f25(x1483,x1483))),x1484)
% 1.05/1.17 [149]~P5(f25(f25(f25(f25(x1492,x1492),f25(x1492,f25(x1491,x1491))),f25(f25(x1492,x1492),f25(x1492,f25(x1491,x1491)))),f25(f25(f25(x1492,x1492),f25(x1492,f25(x1491,x1491))),f25(x1493,x1493))),f11(x1494))+P5(f25(f25(f25(f25(x1491,x1491),f25(x1491,f25(x1492,x1492))),f25(f25(x1491,x1491),f25(x1491,f25(x1492,x1492)))),f25(f25(f25(x1491,x1491),f25(x1491,f25(x1492,x1492))),f25(x1493,x1493))),x1494)
% 1.05/1.17 [153]~P5(f25(f25(x1534,x1534),f25(x1534,f25(x1531,x1531))),f7(x1532,x1533))+P5(x1531,f9(f9(f11(f6(f10(x1532,f6(f9(f9(f11(f6(f10(x1533,f6(f25(x1534,x1534),a17)),a17)))),a17)),a17)))))
% 1.05/1.17 [119]~P2(x1191)+P7(x1191)+~P2(f9(f11(f6(x1191,a17))))
% 1.05/1.17 [133]P2(x1331)+~P6(x1331,f6(a17,a17))+~P6(f7(x1331,f9(f11(f6(x1331,a17)))),a13)
% 1.05/1.18 [145]P1(x1451)+~P5(a4,x1451)+~P6(f9(f9(f11(f6(f10(a18,f6(x1451,a17)),a17)))),x1451)
% 1.05/1.18 [152]~P5(x1521,a17)+E(x1521,a4)+P5(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f25(x1521,x1521),a17)),a17))))))),x1521)
% 1.05/1.18 [89]~P6(x892,x891)+~P6(x891,x892)+E(x891,x892)
% 1.05/1.18 [82]P5(x822,a17)+P5(x821,a17)+E(f25(x821,x822),a4)
% 1.05/1.18 [92]P5(x921,x922)+P5(x921,f8(x922))+~P5(x921,a17)
% 1.05/1.18 [104]E(x1041,x1042)+P5(f14(x1042,x1041),x1042)+P5(f14(x1041,x1042),x1041)
% 1.05/1.18 [112]E(x1121,x1122)+P5(f14(x1122,x1121),x1122)+~P5(f14(x1121,x1122),x1122)
% 1.05/1.18 [114]E(x1141,x1142)+~P5(f14(x1142,x1141),x1141)+~P5(f14(x1141,x1142),x1142)
% 1.05/1.18 [115]P5(x1152,f9(x1151))+~P5(x1152,a17)+E(f10(x1151,f6(f25(x1152,x1152),a17)),a4)
% 1.05/1.18 [141]~P5(x1411,x1412)+~P5(f25(f25(x1411,x1411),f25(x1411,f25(x1412,x1412))),f6(a17,a17))+P5(f25(f25(x1411,x1411),f25(x1411,f25(x1412,x1412))),a5)
% 1.05/1.18 [142]~P5(f25(f25(x1421,x1421),f25(x1421,f25(x1422,x1422))),f6(a17,a17))+~E(f8(f10(f8(x1421),f8(f25(x1421,x1421)))),x1422)+P5(f25(f25(x1421,x1421),f25(x1421,f25(x1422,x1422))),a18)
% 1.05/1.18 [144]~P2(x1441)+~P5(x1442,a17)+P5(f9(f9(f11(f6(f10(x1441,f6(x1442,a17)),a17)))),a17)
% 1.05/1.18 [93]~P6(x931,x933)+P6(x931,x932)+~P6(x933,x932)
% 1.05/1.18 [94]~P5(x941,x943)+P5(x941,x942)+~P6(x943,x942)
% 1.05/1.18 [100]E(x1001,x1002)+E(x1001,x1003)+~P5(x1001,f25(x1003,x1002))
% 1.05/1.18 [105]~P5(x1051,x1053)+~P5(x1051,x1052)+P5(x1051,f10(x1052,x1053))
% 1.05/1.18 [106]~P5(x1062,x1063)+~P5(x1061,x1063)+P6(f25(x1061,x1062),x1063)
% 1.05/1.18 [134]E(x1341,x1342)+~E(f25(x1343,x1341),f25(x1343,x1342))+~P5(f25(f25(x1341,x1341),f25(x1341,f25(x1342,x1342))),f6(a17,a17))
% 1.05/1.18 [135]E(x1351,x1352)+~E(f25(x1351,x1353),f25(x1352,x1353))+~P5(f25(f25(x1351,x1351),f25(x1351,f25(x1352,x1352))),f6(a17,a17))
% 1.05/1.18 [124]~P5(x1242,x1244)+~P5(x1241,x1243)+P5(f25(f25(x1241,x1241),f25(x1241,f25(x1242,x1242))),f6(x1243,x1244))
% 1.05/1.18 [150]~P5(f25(f25(f25(f25(x1502,x1502),f25(x1502,f25(x1503,x1503))),f25(f25(x1502,x1502),f25(x1502,f25(x1503,x1503)))),f25(f25(f25(x1502,x1502),f25(x1502,f25(x1503,x1503))),f25(x1501,x1501))),x1504)+P5(f25(f25(f25(f25(x1501,x1501),f25(x1501,f25(x1502,x1502))),f25(f25(x1501,x1501),f25(x1501,f25(x1502,x1502)))),f25(f25(f25(x1501,x1501),f25(x1501,f25(x1502,x1502))),f25(x1503,x1503))),f19(x1504))+~P5(f25(f25(f25(f25(x1501,x1501),f25(x1501,f25(x1502,x1502))),f25(f25(x1501,x1501),f25(x1501,f25(x1502,x1502)))),f25(f25(f25(x1501,x1501),f25(x1501,f25(x1502,x1502))),f25(x1503,x1503))),f6(f6(a17,a17),a17))
% 1.05/1.18 [151]~P5(f25(f25(f25(f25(x1512,x1512),f25(x1512,f25(x1511,x1511))),f25(f25(x1512,x1512),f25(x1512,f25(x1511,x1511)))),f25(f25(f25(x1512,x1512),f25(x1512,f25(x1511,x1511))),f25(x1513,x1513))),x1514)+P5(f25(f25(f25(f25(x1511,x1511),f25(x1511,f25(x1512,x1512))),f25(f25(x1511,x1511),f25(x1511,f25(x1512,x1512)))),f25(f25(f25(x1511,x1511),f25(x1511,f25(x1512,x1512))),f25(x1513,x1513))),f11(x1514))+~P5(f25(f25(f25(f25(x1511,x1511),f25(x1511,f25(x1512,x1512))),f25(f25(x1511,x1511),f25(x1511,f25(x1512,x1512)))),f25(f25(f25(x1511,x1511),f25(x1511,f25(x1512,x1512))),f25(x1513,x1513))),f6(f6(a17,a17),a17))
% 1.05/1.18 [154]P5(f25(f25(x1541,x1541),f25(x1541,f25(x1542,x1542))),f7(x1543,x1544))+~P5(f25(f25(x1541,x1541),f25(x1541,f25(x1542,x1542))),f6(a17,a17))+~P5(x1542,f9(f9(f11(f6(f10(x1543,f6(f9(f9(f11(f6(f10(x1544,f6(f25(x1541,x1541),a17)),a17)))),a17)),a17)))))
% 1.05/1.18 [155]~P4(x1552,x1555,x1551)+~P5(f25(f25(x1553,x1553),f25(x1553,f25(x1554,x1554))),f9(x1555))+E(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1551,f6(f25(f25(f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1553,x1553),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1553,x1553),a17)),a17)))))))),f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1553,x1553),a17)),a17))))))),f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1554,x1554),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1554,x1554),a17)),a17)))))))))),f25(f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1553,x1553),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1553,x1553),a17)),a17)))))))),f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1553,x1553),a17)),a17))))))),f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1554,x1554),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(x1554,x1554),a17)),a17))))))))))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1552,f6(f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1555,f6(f25(f25(f25(x1553,x1553),f25(x1553,f25(x1554,x1554))),f25(f25(x1553,x1553),f25(x1553,f25(x1554,x1554)))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1555,f6(f25(f25(f25(x1553,x1553),f25(x1553,f25(x1554,x1554))),f25(f25(x1553,x1553),f25(x1553,f25(x1554,x1554)))),a17)),a17)))))))),a17)),a17))))))))
% 1.05/1.18 [139]~P2(x1391)+P8(x1391)+~E(f6(f9(f9(x1391)),f9(f9(x1391))),f9(x1391))+~P6(f9(f9(f11(f6(x1391,a17)))),f9(f9(x1391)))
% 1.05/1.18 [138]~P2(x1381)+P3(x1381,x1382,x1383)+~E(f9(f9(x1382)),f9(x1381))+~P6(f9(f9(f11(f6(x1381,a17)))),f9(f9(x1383)))
% 1.05/1.18 [146]~P8(x1463)+~P8(x1462)+~P3(x1461,x1462,x1463)+P4(x1461,x1462,x1463)+P5(f25(f25(f15(x1461,x1462,x1463),f15(x1461,x1462,x1463)),f25(f15(x1461,x1462,x1463),f25(f16(x1461,x1462,x1463),f16(x1461,x1462,x1463)))),f9(x1462))
% 1.05/1.18 [156]~P8(x1563)+~P8(x1562)+~P3(x1561,x1562,x1563)+P4(x1561,x1562,x1563)+~E(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1563,f6(f25(f25(f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17)))))))),f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17))))))),f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)),a17)),a17)))))))))),f25(f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17)))))))),f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),a17)),a17))))))),f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)),a17)),a17))))))))))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1561,f6(f25(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1562,f6(f25(f25(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),f25(f15(x1561,x1562,x1563),f25(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)))),f25(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),f25(f15(x1561,x1562,x1563),f25(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563))))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1562,f6(f25(f25(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),f25(f15(x1561,x1562,x1563),f25(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563)))),f25(f25(f15(x1561,x1562,x1563),f15(x1561,x1562,x1563)),f25(f15(x1561,x1562,x1563),f25(f16(x1561,x1562,x1563),f16(x1561,x1562,x1563))))),a17)),a17)))))))),a17)),a17))))))))
% 1.05/1.18 %EqnAxiom
% 1.05/1.18 [1]E(x11,x11)
% 1.05/1.18 [2]E(x22,x21)+~E(x21,x22)
% 1.05/1.18 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.05/1.18 [4]~E(x41,x42)+E(f25(x41,x43),f25(x42,x43))
% 1.05/1.18 [5]~E(x51,x52)+E(f25(x53,x51),f25(x53,x52))
% 1.05/1.18 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 1.05/1.18 [7]~E(x71,x72)+E(f10(x71,x73),f10(x72,x73))
% 1.05/1.18 [8]~E(x81,x82)+E(f10(x83,x81),f10(x83,x82))
% 1.05/1.18 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 1.05/1.18 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 1.05/1.18 [11]~E(x111,x112)+E(f8(x111),f8(x112))
% 1.05/1.18 [12]~E(x121,x122)+E(f15(x121,x123,x124),f15(x122,x123,x124))
% 1.05/1.18 [13]~E(x131,x132)+E(f15(x133,x131,x134),f15(x133,x132,x134))
% 1.05/1.18 [14]~E(x141,x142)+E(f15(x143,x144,x141),f15(x143,x144,x142))
% 1.05/1.18 [15]~E(x151,x152)+E(f11(x151),f11(x152))
% 1.05/1.18 [16]~E(x161,x162)+E(f22(x161),f22(x162))
% 1.05/1.18 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173))
% 1.05/1.18 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182))
% 1.05/1.18 [19]~E(x191,x192)+E(f20(x191),f20(x192))
% 1.05/1.18 [20]~E(x201,x202)+E(f16(x201,x203,x204),f16(x202,x203,x204))
% 1.05/1.18 [21]~E(x211,x212)+E(f16(x213,x211,x214),f16(x213,x212,x214))
% 1.05/1.18 [22]~E(x221,x222)+E(f16(x223,x224,x221),f16(x223,x224,x222))
% 1.05/1.18 [23]~E(x231,x232)+E(f19(x231),f19(x232))
% 1.05/1.18 [24]~E(x241,x242)+E(f12(x241),f12(x242))
% 1.05/1.18 [25]~E(x251,x252)+E(f14(x251,x253),f14(x252,x253))
% 1.05/1.18 [26]~E(x261,x262)+E(f14(x263,x261),f14(x263,x262))
% 1.05/1.18 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 1.05/1.18 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 1.05/1.18 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 1.05/1.18 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 1.05/1.18 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 1.05/1.18 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 1.05/1.18 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 1.05/1.18 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 1.05/1.18 [35]~P8(x351)+P8(x352)+~E(x351,x352)
% 1.05/1.18 [36]P6(x362,x363)+~E(x361,x362)+~P6(x361,x363)
% 1.05/1.18 [37]P6(x373,x372)+~E(x371,x372)+~P6(x373,x371)
% 1.05/1.18 [38]P4(x382,x383,x384)+~E(x381,x382)+~P4(x381,x383,x384)
% 1.05/1.18 [39]P4(x393,x392,x394)+~E(x391,x392)+~P4(x393,x391,x394)
% 1.05/1.18 [40]P4(x403,x404,x402)+~E(x401,x402)+~P4(x403,x404,x401)
% 1.05/1.18 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 1.05/1.18 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 1.05/1.18
% 1.05/1.18 %-------------------------------------------
% 1.05/1.18 cnf(157,plain,
% 1.05/1.18 (E(f25(a23,a23),f25(a24,a24))),
% 1.05/1.18 inference(scs_inference,[],[51,2])).
% 1.05/1.18 cnf(158,plain,
% 1.05/1.18 (~P1(a4)),
% 1.05/1.18 inference(scs_inference,[],[69,51,2,76])).
% 1.05/1.18 cnf(159,plain,
% 1.05/1.18 (~P5(x1591,a4)),
% 1.05/1.18 inference(rename_variables,[],[69])).
% 1.05/1.18 cnf(161,plain,
% 1.05/1.18 (E(f10(f8(x1611),x1611),a4)),
% 1.05/1.18 inference(scs_inference,[],[69,51,70,2,76,81])).
% 1.05/1.18 cnf(162,plain,
% 1.05/1.18 (~P5(x1621,f10(f8(x1622),x1622))),
% 1.05/1.18 inference(rename_variables,[],[70])).
% 1.05/1.18 cnf(164,plain,
% 1.05/1.18 (P6(f10(f8(x1641),x1641),x1642)),
% 1.05/1.18 inference(scs_inference,[],[69,51,70,162,2,76,81,90])).
% 1.05/1.18 cnf(165,plain,
% 1.05/1.18 (~P5(x1651,f10(f8(x1652),x1652))),
% 1.05/1.18 inference(rename_variables,[],[70])).
% 1.05/1.18 cnf(167,plain,
% 1.05/1.18 (~P5(x1671,f9(f8(f6(f25(x1671,x1671),a17))))),
% 1.05/1.18 inference(scs_inference,[],[69,51,70,162,2,76,81,90,117])).
% 1.05/1.18 cnf(170,plain,
% 1.05/1.18 (~P5(x1701,a4)),
% 1.05/1.18 inference(rename_variables,[],[69])).
% 1.05/1.18 cnf(173,plain,
% 1.05/1.18 (~P5(x1731,a4)),
% 1.05/1.18 inference(rename_variables,[],[69])).
% 1.05/1.18 cnf(175,plain,
% 1.05/1.18 (P6(f25(a24,a24),f25(a23,a23))),
% 1.05/1.18 inference(scs_inference,[],[50,69,159,170,51,70,162,2,76,81,90,117,149,148,37])).
% 1.05/1.18 cnf(176,plain,
% 1.05/1.18 (P6(x1761,x1761)),
% 1.05/1.18 inference(rename_variables,[],[50])).
% 1.05/1.18 cnf(180,plain,
% 1.05/1.18 (~P5(x1801,a4)),
% 1.05/1.18 inference(rename_variables,[],[69])).
% 1.05/1.18 cnf(183,plain,
% 1.05/1.18 (~P1(f10(f8(f6(f25(x1831,x1831),a17)),f6(f25(x1831,x1831),a17)))),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,69,159,170,173,51,70,162,65,2,76,81,90,117,149,148,37,36,31,30,28])).
% 1.05/1.18 cnf(184,plain,
% 1.05/1.18 (~E(a17,f10(f8(f6(f25(x1841,x1841),a17)),f6(f25(x1841,x1841),a17)))),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,69,159,170,173,51,70,162,65,2,76,81,90,117,149,148,37,36,31,30,28,3])).
% 1.05/1.18 cnf(190,plain,
% 1.05/1.18 (~P5(x1901,f10(f8(x1902),x1902))),
% 1.05/1.18 inference(rename_variables,[],[70])).
% 1.05/1.18 cnf(194,plain,
% 1.05/1.18 (~P5(x1941,a4)),
% 1.05/1.18 inference(rename_variables,[],[69])).
% 1.05/1.18 cnf(196,plain,
% 1.05/1.18 (P6(f10(f9(f11(f6(a21,a17))),a21),a13)),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74])).
% 1.05/1.18 cnf(198,plain,
% 1.05/1.18 (P6(a13,f10(f9(f11(f6(a21,a17))),a21))),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73])).
% 1.05/1.18 cnf(208,plain,
% 1.05/1.18 (~P5(x2081,f10(a4,x2082))),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102])).
% 1.05/1.18 cnf(210,plain,
% 1.05/1.18 (~P5(x2101,f10(x2102,a4))),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101])).
% 1.05/1.18 cnf(218,plain,
% 1.05/1.18 (~E(f25(a23,x2181),a4)),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87])).
% 1.05/1.18 cnf(220,plain,
% 1.05/1.18 (~E(f25(x2201,a23),a4)),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86])).
% 1.05/1.18 cnf(222,plain,
% 1.05/1.18 (E(f10(a4,x2221),a4)),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79])).
% 1.05/1.18 cnf(224,plain,
% 1.05/1.18 (E(f3(f25(a24,a24)),f3(f25(a23,a23)))),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27])).
% 1.05/1.18 cnf(250,plain,
% 1.05/1.18 (~P5(a24,f25(a23,a23))),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,69,159,170,173,180,194,68,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99])).
% 1.05/1.18 cnf(255,plain,
% 1.05/1.18 (~P5(x2551,a4)),
% 1.05/1.18 inference(rename_variables,[],[69])).
% 1.05/1.18 cnf(262,plain,
% 1.05/1.18 (~P6(a17,a4)),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89])).
% 1.05/1.18 cnf(274,plain,
% 1.05/1.18 (P5(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f25(f25(a23,x2741),f25(a23,x2741)),a17)),a17))))))),f25(a23,x2741))),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,56,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89,92,144,106,100,152])).
% 1.05/1.18 cnf(277,plain,
% 1.05/1.18 (P5(f25(f25(a23,a23),f25(a23,f25(a23,a23))),f6(a17,a17))),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,56,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89,92,144,106,100,152,124])).
% 1.05/1.18 cnf(279,plain,
% 1.05/1.18 (~P6(f25(a23,x2791),a4)),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,56,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89,92,144,106,100,152,124,77])).
% 1.05/1.18 cnf(281,plain,
% 1.05/1.18 (P9(a2)),
% 1.05/1.18 inference(scs_inference,[],[47,50,176,48,49,69,159,170,173,180,194,255,68,43,44,45,55,51,64,56,59,70,162,165,190,65,2,76,81,90,117,149,148,37,36,31,30,28,3,94,145,105,104,74,73,85,147,143,118,102,101,96,95,91,87,86,79,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,121,99,78,130,131,126,29,89,92,144,106,100,152,124,77,127])).
% 1.05/1.18 cnf(307,plain,
% 1.05/1.18 (E(f25(f25(f12(f25(f25(a23,a23),f25(a23,f25(a23,a23)))),f12(f25(f25(a23,a23),f25(a23,f25(a23,a23))))),f25(f12(f25(f25(a23,a23),f25(a23,f25(a23,a23)))),f25(f22(f25(f25(a23,a23),f25(a23,f25(a23,a23)))),f22(f25(f25(a23,a23),f25(a23,f25(a23,a23))))))),f25(f25(a23,a23),f25(a23,f25(a23,a23))))),
% 1.05/1.18 inference(scs_inference,[],[277,123])).
% 1.05/1.18 cnf(309,plain,
% 1.05/1.18 (P5(a4,a1)),
% 1.05/1.18 inference(scs_inference,[],[43,277,123,76])).
% 1.05/1.18 cnf(317,plain,
% 1.05/1.18 (~P5(x3171,f10(f8(x3172),x3172))),
% 1.05/1.18 inference(rename_variables,[],[70])).
% 1.05/1.18 cnf(323,plain,
% 1.05/1.18 (~P5(x3231,a4)),
% 1.05/1.18 inference(rename_variables,[],[69])).
% 1.05/1.18 cnf(325,plain,
% 1.05/1.18 (~E(a4,a17)),
% 1.05/1.18 inference(scs_inference,[],[47,69,43,70,277,274,210,262,184,218,123,76,81,99,92,100,104,73])).
% 1.05/1.18 cnf(336,plain,
% 1.05/1.18 (~P6(a17,f10(f8(x3361),x3361))),
% 1.05/1.18 inference(scs_inference,[],[47,69,323,43,70,65,277,274,210,161,262,184,218,123,76,81,99,92,100,104,73,94,106,105,79,37])).
% 1.05/1.18 cnf(337,plain,
% 1.05/1.18 (~P5(f25(a23,a23),f9(f8(f6(f25(f25(a24,a24),f25(a24,a24)),a17))))),
% 1.05/1.18 inference(scs_inference,[],[47,157,69,323,43,70,65,277,167,274,210,161,262,184,218,123,76,81,99,92,100,104,73,94,106,105,79,37,30])).
% 1.05/1.18 cnf(339,plain,
% 1.05/1.18 (~E(a24,f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f25(f25(a23,a23),f25(a23,a23)),a17)),a17))))))))),
% 1.05/1.18 inference(scs_inference,[],[47,157,69,323,43,70,65,68,277,167,274,210,161,262,184,218,123,76,81,99,92,100,104,73,94,106,105,79,37,30,3])).
% 1.05/1.18 cnf(344,plain,
% 1.05/1.18 (~E(a23,a24)),
% 1.05/1.18 inference(scs_inference,[],[47,157,69,323,43,70,65,68,277,167,274,210,196,198,161,262,184,218,123,76,81,99,92,100,104,73,94,106,105,79,37,30,3,90,89,2])).
% 1.05/1.18 cnf(345,plain,
% 1.05/1.18 (~E(a1,f10(f8(f6(f25(x3451,x3451),a17)),f6(f25(x3451,x3451),a17)))),
% 1.05/1.18 inference(scs_inference,[],[47,157,69,323,43,70,65,68,277,167,183,274,210,196,198,161,262,184,218,123,76,81,99,92,100,104,73,94,106,105,79,37,30,3,90,89,2,28])).
% 1.05/1.18 cnf(349,plain,
% 1.05/1.18 (~P5(x3491,f10(f6(x3492,x3493),f8(f6(x3492,x3493))))),
% 1.05/1.18 inference(scs_inference,[],[47,157,52,61,69,323,43,70,317,65,68,277,167,183,274,210,196,198,161,262,184,218,279,123,76,81,99,92,100,104,73,94,106,105,79,37,30,3,90,89,2,28,36,31])).
% 1.05/1.18 cnf(356,plain,
% 1.05/1.18 (~E(f25(x3561,f25(x3562,x3562)),a4)),
% 1.05/1.18 inference(scs_inference,[],[47,157,52,61,60,69,323,43,70,317,65,68,277,167,183,274,175,210,196,198,161,262,184,218,279,281,123,76,81,99,92,100,104,73,94,106,105,79,37,30,3,90,89,2,28,36,31,42,93,74])).
% 1.05/1.18 cnf(360,plain,
% 1.05/1.18 (~E(a2,x3601)+E(f10(f8(f6(f25(f25(a24,a24),f25(a24,a24)),a17)),f6(f25(f25(a23,a23),f25(a23,a23)),a17)),a4)),
% 1.05/1.18 inference(scs_inference,[],[47,157,52,61,60,69,323,43,70,317,65,56,68,277,167,183,274,175,210,196,198,161,262,184,218,279,281,123,76,81,99,92,100,104,73,94,106,105,79,37,30,3,90,89,2,28,36,31,42,93,74,120,115])).
% 1.05/1.18 cnf(372,plain,
% 1.05/1.18 (E(f10(f8(f6(f25(f25(a24,a24),f25(a24,a24)),a17)),f6(f25(f25(a23,a23),f25(a23,a23)),a17)),a4)),
% 1.05/1.18 inference(equality_inference,[],[360])).
% 1.05/1.18 cnf(375,plain,
% 1.05/1.18 (~P1(f10(f8(x3751),x3751))),
% 1.05/1.18 inference(scs_inference,[],[70,76])).
% 1.05/1.18 cnf(379,plain,
% 1.05/1.18 (~P5(x3791,f10(f6(x3792,x3793),f8(f6(x3792,x3793))))),
% 1.05/1.18 inference(rename_variables,[],[349])).
% 1.05/1.18 cnf(387,plain,
% 1.05/1.18 (P5(f14(f25(x3871,f25(x3872,x3872)),a4),f25(x3871,f25(x3872,x3872)))),
% 1.05/1.18 inference(scs_inference,[],[66,69,70,349,325,356,76,81,73,74,99,104])).
% 1.05/1.18 cnf(393,plain,
% 1.05/1.18 (~P5(x3931,f10(f6(x3932,x3933),f8(f6(x3932,x3933))))),
% 1.05/1.18 inference(rename_variables,[],[349])).
% 1.05/1.18 cnf(398,plain,
% 1.05/1.18 (P6(f10(f6(x3981,x3982),f8(f6(x3981,x3982))),x3983)),
% 1.05/1.18 inference(scs_inference,[],[66,157,69,70,65,349,379,393,325,356,277,76,81,73,74,99,104,89,105,6,30,90])).
% 1.05/1.18 cnf(406,plain,
% 1.05/1.18 (~P5(f25(f25(a24,a24),f25(a24,f25(a24,a24))),f6(x4061,x4062))),
% 1.05/1.18 inference(scs_inference,[],[51,158,66,67,157,69,70,65,349,379,393,224,250,325,356,372,277,76,81,73,74,99,104,89,105,6,30,90,2,28,3,31,137])).
% 1.05/1.18 cnf(410,plain,
% 1.05/1.18 (~P5(a24,a17)),
% 1.05/1.18 inference(scs_inference,[],[51,158,66,67,157,69,70,65,349,379,393,224,250,325,356,372,277,76,81,73,74,99,104,89,105,6,30,90,2,28,3,31,137,154,95])).
% 1.05/1.18 cnf(412,plain,
% 1.05/1.18 (~P6(a17,f10(f6(x4121,x4122),f8(f6(x4121,x4122))))),
% 1.05/1.18 inference(scs_inference,[],[51,158,66,67,157,69,70,65,349,379,393,224,250,325,336,356,372,277,76,81,73,74,99,104,89,105,6,30,90,2,28,3,31,137,154,95,93])).
% 1.05/1.18 cnf(437,plain,
% 1.05/1.18 (~P5(f25(f25(x4371,x4371),f25(x4371,f25(a24,a24))),f6(x4372,x4373))),
% 1.05/1.18 inference(scs_inference,[],[410,84,83,128])).
% 1.05/1.18 cnf(439,plain,
% 1.05/1.18 (~P5(f25(f25(a24,a24),f25(a24,f25(x4391,x4391))),f6(x4392,x4393))),
% 1.05/1.18 inference(scs_inference,[],[410,84,83,128,129])).
% 1.05/1.18 cnf(441,plain,
% 1.05/1.18 (E(f25(a24,a24),a4)),
% 1.05/1.18 inference(scs_inference,[],[410,84,83,128,129,80])).
% 1.05/1.18 cnf(443,plain,
% 1.05/1.18 (P5(a1,f25(x4431,a1))),
% 1.05/1.18 inference(scs_inference,[],[46,410,84,83,128,129,80,95])).
% 1.05/1.18 cnf(445,plain,
% 1.05/1.18 (P5(f14(f25(x4451,a23),a4),f25(x4451,a23))),
% 1.05/1.18 inference(scs_inference,[],[46,410,220,84,83,128,129,80,95,81])).
% 1.05/1.18 cnf(447,plain,
% 1.05/1.18 (~E(f10(f6(x4471,x4472),f8(f6(x4471,x4472))),a17)),
% 1.05/1.18 inference(scs_inference,[],[46,410,412,220,84,83,128,129,80,95,81,73])).
% 1.05/1.18 cnf(456,plain,
% 1.05/1.18 (~E(a17,f10(f6(x4561,x4562),f8(f6(x4561,x4562))))),
% 1.05/1.18 inference(scs_inference,[],[46,70,387,410,412,345,220,84,83,128,129,80,95,81,73,100,126,99,74])).
% 1.05/1.18 cnf(463,plain,
% 1.05/1.18 (~P6(a1,f10(f8(f6(f25(x4631,x4631),a17)),f6(f25(x4631,x4631),a17)))),
% 1.05/1.18 inference(scs_inference,[],[46,70,387,410,412,345,220,164,84,83,128,129,80,95,81,73,100,126,99,74,105,90,89])).
% 1.05/1.18 cnf(469,plain,
% 1.05/1.18 (~P1(f10(f6(x4691,x4692),f8(f6(x4691,x4692))))),
% 1.05/1.18 inference(scs_inference,[],[53,61,46,70,375,406,387,410,412,345,220,164,84,83,128,129,80,95,81,73,100,126,99,74,105,90,89,94,28])).
% 1.05/1.18 cnf(470,plain,
% 1.05/1.18 (E(f10(f6(x4701,x4702),x4703),f10(x4703,f6(x4701,x4702)))),
% 1.05/1.18 inference(rename_variables,[],[61])).
% 1.05/1.18 cnf(472,plain,
% 1.05/1.18 (~E(a1,f10(f6(f25(x4721,x4721),a17),f8(f6(f25(x4721,x4721),a17))))),
% 1.05/1.18 inference(scs_inference,[],[53,61,470,46,70,375,406,387,410,412,345,220,164,84,83,128,129,80,95,81,73,100,126,99,74,105,90,89,94,28,3])).
% 1.05/1.18 cnf(476,plain,
% 1.05/1.18 (~E(a1,a4)),
% 1.05/1.18 inference(scs_inference,[],[53,61,470,46,69,70,375,406,387,410,412,345,220,309,164,84,83,128,129,80,95,81,73,100,126,99,74,105,90,89,94,28,3,30,2,31])).
% 1.05/1.18 cnf(480,plain,
% 1.05/1.18 (~P5(a24,x4801)),
% 1.05/1.18 inference(scs_inference,[],[53,61,470,46,69,70,375,406,387,410,412,345,220,309,164,84,83,128,129,80,95,81,73,100,126,99,74,105,90,89,94,28,3,30,2,31,133,124])).
% 1.05/1.18 cnf(491,plain,
% 1.05/1.18 (P5(f25(f25(f25(x4911,x4912),f25(x4911,x4912)),f25(f25(x4911,x4912),f25(f25(x4911,x4912),f25(x4911,x4912)))),f6(a17,a17))),
% 1.05/1.18 inference(scs_inference,[],[56,480,153,124])).
% 1.05/1.18 cnf(504,plain,
% 1.05/1.18 (P6(f10(f6(x5041,x5042),x5043),f10(x5043,f6(x5041,x5042)))),
% 1.05/1.18 inference(scs_inference,[],[52,61,56,344,447,480,472,349,153,124,73,100,99,104,105,74])).
% 1.05/1.18 cnf(515,plain,
% 1.05/1.18 (~P6(f25(x5151,a1),a4)),
% 1.05/1.18 inference(scs_inference,[],[49,59,52,157,61,56,69,344,447,480,472,443,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94])).
% 1.05/1.18 cnf(516,plain,
% 1.05/1.18 (~P5(x5161,a4)),
% 1.05/1.18 inference(rename_variables,[],[69])).
% 1.05/1.18 cnf(518,plain,
% 1.05/1.18 (~E(f10(f8(f6(x5181,x5182)),f6(x5181,x5182)),a17)),
% 1.05/1.18 inference(scs_inference,[],[49,59,52,157,61,56,69,344,447,480,472,443,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3])).
% 1.05/1.18 cnf(520,plain,
% 1.05/1.18 (E(f10(f6(x5201,x5202),x5203),f10(x5203,f6(x5201,x5202)))),
% 1.05/1.18 inference(rename_variables,[],[61])).
% 1.05/1.18 cnf(521,plain,
% 1.05/1.18 (~P5(f25(f25(x5211,f25(a24,a24)),f25(x5211,x5211)),f6(x5212,x5213))),
% 1.05/1.18 inference(scs_inference,[],[49,59,52,157,61,56,69,437,344,447,480,472,443,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30])).
% 1.05/1.18 cnf(523,plain,
% 1.05/1.18 (E(f10(x5231,f6(x5232,x5233)),f10(f6(x5232,x5233),x5231))),
% 1.05/1.18 inference(scs_inference,[],[49,59,52,157,61,520,56,69,437,344,447,480,472,443,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2])).
% 1.05/1.18 cnf(525,plain,
% 1.05/1.18 (P5(f25(x5251,x5252),a17)),
% 1.05/1.18 inference(rename_variables,[],[56])).
% 1.05/1.18 cnf(529,plain,
% 1.05/1.18 (~P5(x5291,f10(f8(x5292),x5292))),
% 1.05/1.18 inference(rename_variables,[],[70])).
% 1.05/1.18 cnf(533,plain,
% 1.05/1.18 (~P5(x5331,f9(a4))),
% 1.05/1.18 inference(scs_inference,[],[49,59,52,157,61,520,56,525,69,70,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117])).
% 1.05/1.18 cnf(536,plain,
% 1.05/1.18 (~P5(x5361,f10(f10(f8(x5362),x5362),x5363))),
% 1.05/1.18 inference(scs_inference,[],[49,59,52,157,61,520,56,525,69,70,529,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117,102])).
% 1.05/1.18 cnf(538,plain,
% 1.05/1.18 (~P5(x5381,f10(x5382,f10(f8(x5383),x5383)))),
% 1.05/1.18 inference(scs_inference,[],[49,59,52,157,61,520,56,525,69,70,529,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117,102,101])).
% 1.05/1.18 cnf(544,plain,
% 1.05/1.18 (~P6(a1,a4)),
% 1.05/1.18 inference(scs_inference,[],[49,59,52,157,61,520,56,525,69,516,70,529,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117,102,101,130,91,77])).
% 1.05/1.18 cnf(546,plain,
% 1.05/1.18 (E(f3(f10(f8(x5461),x5461)),f3(a4))),
% 1.05/1.18 inference(scs_inference,[],[161,49,59,52,157,61,520,56,525,69,516,70,529,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117,102,101,130,91,77,27])).
% 1.05/1.18 cnf(557,plain,
% 1.05/1.18 (E(f25(f10(f8(x5571),x5571),x5572),f25(a4,x5572))),
% 1.05/1.18 inference(scs_inference,[],[161,49,59,52,157,61,520,56,525,69,516,70,529,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117,102,101,130,91,77,27,22,20,18,17,16,15,12,9,8,7,4])).
% 1.05/1.18 cnf(559,plain,
% 1.05/1.18 (~P5(x5591,f10(f8(x5592),x5592))),
% 1.05/1.18 inference(rename_variables,[],[70])).
% 1.05/1.18 cnf(565,plain,
% 1.05/1.18 (~E(f25(f25(x5651,x5652),x5653),a4)),
% 1.05/1.18 inference(scs_inference,[],[161,49,59,52,157,61,520,56,525,69,516,70,529,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117,102,101,130,91,77,27,22,20,18,17,16,15,12,9,8,7,4,148,147,96,87])).
% 1.05/1.18 cnf(567,plain,
% 1.05/1.18 (~E(f25(x5671,f25(x5672,x5673)),a4)),
% 1.05/1.18 inference(scs_inference,[],[161,49,59,52,157,61,520,56,525,69,516,70,529,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117,102,101,130,91,77,27,22,20,18,17,16,15,12,9,8,7,4,148,147,96,87,86])).
% 1.05/1.18 cnf(569,plain,
% 1.05/1.18 (~P5(f25(f25(x5691,x5691),f25(x5691,f25(x5692,x5692))),f6(f10(f8(x5693),x5693),x5694))),
% 1.05/1.18 inference(scs_inference,[],[161,49,59,52,157,61,520,56,525,69,516,70,529,559,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117,102,101,130,91,77,27,22,20,18,17,16,15,12,9,8,7,4,148,147,96,87,86,131])).
% 1.05/1.18 cnf(586,plain,
% 1.05/1.19 (~E(a1,f10(f6(x5861,x5862),f8(f6(x5861,x5862))))),
% 1.05/1.19 inference(scs_inference,[],[161,49,59,52,157,61,520,56,525,43,69,516,70,529,559,469,437,337,344,447,480,472,222,443,476,398,208,349,153,124,73,100,99,104,105,74,90,36,89,94,3,30,2,31,78,149,118,117,102,101,130,91,77,27,22,20,18,17,16,15,12,9,8,7,4,148,147,96,87,86,131,26,25,24,23,21,19,14,13,11,10,5,152,81,28])).
% 1.05/1.19 cnf(591,plain,
% 1.05/1.19 (~P6(f25(a1,x5911),a4)),
% 1.05/1.19 inference(scs_inference,[],[60,515,93])).
% 1.05/1.19 cnf(592,plain,
% 1.05/1.19 (~P6(f25(x5921,a1),a4)),
% 1.05/1.19 inference(rename_variables,[],[515])).
% 1.05/1.19 cnf(593,plain,
% 1.05/1.19 (P6(f25(x5931,x5931),f25(x5931,x5932))),
% 1.05/1.19 inference(rename_variables,[],[60])).
% 1.05/1.19 cnf(595,plain,
% 1.05/1.19 (E(f25(f25(f12(f25(f25(f25(x5951,x5952),f25(x5951,x5952)),f25(f25(x5951,x5952),f25(f25(x5951,x5952),f25(x5951,x5952))))),f12(f25(f25(f25(x5951,x5952),f25(x5951,x5952)),f25(f25(x5951,x5952),f25(f25(x5951,x5952),f25(x5951,x5952)))))),f25(f12(f25(f25(f25(x5951,x5952),f25(x5951,x5952)),f25(f25(x5951,x5952),f25(f25(x5951,x5952),f25(x5951,x5952))))),f25(f22(f25(f25(f25(x5951,x5952),f25(x5951,x5952)),f25(f25(x5951,x5952),f25(f25(x5951,x5952),f25(x5951,x5952))))),f22(f25(f25(f25(x5951,x5952),f25(x5951,x5952)),f25(f25(x5951,x5952),f25(f25(x5951,x5952),f25(x5951,x5952)))))))),f25(f25(f25(x5951,x5952),f25(x5951,x5952)),f25(f25(x5951,x5952),f25(f25(x5951,x5952),f25(x5951,x5952)))))),
% 1.05/1.19 inference(scs_inference,[],[60,491,515,93,123])).
% 1.05/1.19 cnf(609,plain,
% 1.05/1.19 (P5(f14(f25(x6091,a23),a4),f25(x6091,a23))),
% 1.05/1.19 inference(rename_variables,[],[445])).
% 1.05/1.19 cnf(618,plain,
% 1.05/1.19 (~E(f25(x6181,a1),a4)),
% 1.05/1.19 inference(scs_inference,[],[60,593,69,56,536,538,491,307,445,533,565,515,592,93,123,37,152,73,81,99,104,79,74])).
% 1.05/1.19 cnf(633,plain,
% 1.05/1.19 (P5(f14(f25(a23,a23),a4),f25(a24,a24))),
% 1.05/1.19 inference(scs_inference,[],[58,60,593,67,157,65,69,56,504,536,538,521,491,307,557,445,609,546,533,339,565,515,592,463,93,123,37,152,73,81,99,104,79,74,90,94,36,3,30,2,31])).
% 1.05/1.19 cnf(695,plain,
% 1.05/1.19 ($false),
% 1.05/1.19 inference(scs_inference,[],[63,164,60,66,67,65,46,69,70,56,595,523,569,439,633,456,518,586,591,618,441,567,544,536,184,480,398,476,95,92,73,106,37,152,81,104,99,79,100,74,90,89,94,36,3,30,2,31]),
% 1.05/1.19 ['proof']).
% 1.05/1.19 % SZS output end Proof
% 1.05/1.19 % Total time :0.510000s
%------------------------------------------------------------------------------