%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET090-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 14:20:38 EDT 2024
% Result : Unsatisfiable 59.08s 59.16s
% Output : CNFRefutation 59.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET090-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 14:03:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 59.08/59.14 %-------------------------------------------
% 59.08/59.14 % File :CSE---1.7
% 59.08/59.14 % Problem :theBenchmark
% 59.08/59.14 % Transform :cnf
% 59.08/59.14 % Format :tptp:raw
% 59.08/59.14 % Command :java -jar mcs_scs.jar %d %s
% 59.08/59.14
% 59.08/59.14 % Result :Theorem 58.520000s
% 59.08/59.14 % Output :CNFRefutation 58.520000s
% 59.08/59.14 %-------------------------------------------
% 59.08/59.15 %--------------------------------------------------------------------------
% 59.08/59.15 % File : SET090-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 59.08/59.15 % Domain : Set Theory
% 59.08/59.15 % Problem : The member of a singleton set is unique
% 59.08/59.15 % Version : [Qua92] axioms : Augmented.
% 59.08/59.15 % English :
% 59.08/59.15
% 59.08/59.15 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 59.08/59.15 % Source : [Quaife]
% 59.08/59.15 % Names : SS7 [Qua92]
% 59.08/59.15
% 59.08/59.15 % Status : Unsatisfiable
% 59.08/59.15 % 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
% 59.08/59.15 % Syntax : Number of clauses : 135 ( 42 unt; 19 nHn; 91 RR)
% 59.08/59.15 % Number of literals : 269 ( 71 equ; 122 neg)
% 59.08/59.15 % Maximal clause size : 5 ( 1 avg)
% 59.08/59.15 % Maximal term depth : 6 ( 1 avg)
% 59.08/59.15 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 59.08/59.15 % Number of functors : 40 ( 40 usr; 9 con; 0-3 aty)
% 59.08/59.15 % Number of variables : 258 ( 46 sgn)
% 59.08/59.15 % SPC : CNF_UNS_RFO_SEQ_NHN
% 59.08/59.15
% 59.08/59.15 % Comments : Preceding lemmas are added.
% 59.08/59.15 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 59.08/59.15 %--------------------------------------------------------------------------
% 59.08/59.15 %----Include von Neuman-Bernays-Godel set theory axioms
% 59.08/59.15 include('Axioms/SET004-0.ax').
% 59.08/59.15 %--------------------------------------------------------------------------
% 59.08/59.15 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 59.08/59.15 cnf(corollary_1_to_unordered_pair,axiom,
% 59.08/59.15 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 59.08/59.15 | member(X,unordered_pair(X,Y)) ) ).
% 59.08/59.15
% 59.08/59.15 cnf(corollary_2_to_unordered_pair,axiom,
% 59.08/59.15 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 59.08/59.15 | member(Y,unordered_pair(X,Y)) ) ).
% 59.08/59.15
% 59.08/59.15 %----Corollaries to Cartesian product axiom.
% 59.08/59.15 cnf(corollary_1_to_cartesian_product,axiom,
% 59.08/59.15 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 59.08/59.15 | member(U,universal_class) ) ).
% 59.08/59.15
% 59.08/59.15 cnf(corollary_2_to_cartesian_product,axiom,
% 59.08/59.15 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 59.08/59.15 | member(V,universal_class) ) ).
% 59.08/59.15
% 59.08/59.15 %---- PARTIAL ORDER.
% 59.08/59.15 %----(PO1): reflexive.
% 59.08/59.15 cnf(subclass_is_reflexive,axiom,
% 59.08/59.15 subclass(X,X) ).
% 59.08/59.15
% 59.08/59.15 %----(PO2): antisymmetry is part of A-3.
% 59.08/59.15 %----(x < y), (y < x) --> (x = y).
% 59.08/59.15
% 59.08/59.15 %----(PO3): transitivity.
% 59.08/59.15 cnf(transitivity_of_subclass,axiom,
% 59.08/59.15 ( ~ subclass(X,Y)
% 59.08/59.15 | ~ subclass(Y,Z)
% 59.08/59.15 | subclass(X,Z) ) ).
% 59.08/59.15
% 59.08/59.15 %---- EQUALITY.
% 59.08/59.15 %----(EQ1): equality axiom.
% 59.08/59.15 %----a:x:(x = x).
% 59.08/59.15 %----This is always an axiom in the TPTP presentation.
% 59.08/59.15
% 59.08/59.15 %----(EQ2): expanded equality definition.
% 59.08/59.15 cnf(equality1,axiom,
% 59.08/59.15 ( X = Y
% 59.08/59.15 | member(not_subclass_element(X,Y),X)
% 59.08/59.15 | member(not_subclass_element(Y,X),Y) ) ).
% 59.08/59.15
% 59.08/59.15 cnf(equality2,axiom,
% 59.08/59.15 ( ~ member(not_subclass_element(X,Y),Y)
% 59.08/59.15 | X = Y
% 59.08/59.15 | member(not_subclass_element(Y,X),Y) ) ).
% 59.08/59.15
% 59.08/59.15 cnf(equality3,axiom,
% 59.08/59.15 ( ~ member(not_subclass_element(Y,X),X)
% 59.08/59.15 | X = Y
% 59.08/59.15 | member(not_subclass_element(X,Y),X) ) ).
% 59.08/59.15
% 59.08/59.15 cnf(equality4,axiom,
% 59.08/59.15 ( ~ member(not_subclass_element(X,Y),Y)
% 59.08/59.15 | ~ member(not_subclass_element(Y,X),X)
% 59.08/59.15 | X = Y ) ).
% 59.08/59.15
% 59.08/59.15 %---- SPECIAL CLASSES.
% 59.08/59.15 %----(SP1): lemma.
% 59.08/59.15 cnf(special_classes_lemma,axiom,
% 59.08/59.15 ~ member(Y,intersection(complement(X),X)) ).
% 59.08/59.15
% 59.08/59.15 %----(SP2): Existence of O (null class).
% 59.08/59.15 %----e:x:a:z:(-(z e x)).
% 59.08/59.15 cnf(existence_of_null_class,axiom,
% 59.08/59.15 ~ member(Z,null_class) ).
% 59.08/59.15
% 59.08/59.15 %----(SP3): O is a subclass of every class.
% 59.08/59.15 cnf(null_class_is_subclass,axiom,
% 59.08/59.15 subclass(null_class,X) ).
% 59.08/59.15
% 59.08/59.15 %----corollary.
% 59.08/59.15 cnf(corollary_of_null_class_is_subclass,axiom,
% 59.08/59.15 ( ~ subclass(X,null_class)
% 59.08/59.15 | X = null_class ) ).
% 59.08/59.15
% 59.08/59.15 %----(SP4): uniqueness of null class.
% 59.08/59.15 cnf(null_class_is_unique,axiom,
% 59.08/59.15 ( Z = null_class
% 59.08/59.15 | member(not_subclass_element(Z,null_class),Z) ) ).
% 59.08/59.15
% 59.08/59.15 %----(SP5): O is a set (follows from axiom of infinity).
% 59.08/59.15 cnf(null_class_is_a_set,axiom,
% 59.08/59.15 member(null_class,universal_class) ).
% 59.08/59.15
% 59.08/59.15 %---- UNORDERED PAIRS.
% 59.08/59.15 %----(UP1): unordered pair is commutative.
% 59.08/59.15 cnf(commutativity_of_unordered_pair,axiom,
% 59.08/59.15 unordered_pair(X,Y) = unordered_pair(Y,X) ).
% 59.08/59.15
% 59.08/59.15 %----(UP2): if one argument is a proper class, pair contains only the
% 59.08/59.15 %----other. In a slightly different form to the paper
% 59.08/59.15 cnf(singleton_in_unordered_pair1,axiom,
% 59.08/59.15 subclass(singleton(X),unordered_pair(X,Y)) ).
% 59.08/59.15
% 59.08/59.15 cnf(singleton_in_unordered_pair2,axiom,
% 59.08/59.15 subclass(singleton(Y),unordered_pair(X,Y)) ).
% 59.08/59.15
% 59.08/59.15 cnf(unordered_pair_equals_singleton1,axiom,
% 59.08/59.15 ( member(Y,universal_class)
% 59.08/59.15 | unordered_pair(X,Y) = singleton(X) ) ).
% 59.08/59.15
% 59.08/59.15 cnf(unordered_pair_equals_singleton2,axiom,
% 59.08/59.15 ( member(X,universal_class)
% 59.08/59.15 | unordered_pair(X,Y) = singleton(Y) ) ).
% 59.08/59.15
% 59.08/59.15 %----(UP3): if both arguments are proper classes, pair is null.
% 59.08/59.15 cnf(null_unordered_pair,axiom,
% 59.08/59.15 ( unordered_pair(X,Y) = null_class
% 59.08/59.15 | member(X,universal_class)
% 59.08/59.15 | member(Y,universal_class) ) ).
% 59.08/59.15
% 59.08/59.15 %----(UP4): left cancellation for unordered pairs.
% 59.08/59.15 cnf(left_cancellation,axiom,
% 59.08/59.15 ( unordered_pair(X,Y) != unordered_pair(X,Z)
% 59.08/59.15 | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
% 59.08/59.15 | Y = Z ) ).
% 59.08/59.15
% 59.08/59.15 %----(UP5): right cancellation for unordered pairs.
% 59.08/59.15 cnf(right_cancellation,axiom,
% 59.08/59.15 ( unordered_pair(X,Z) != unordered_pair(Y,Z)
% 59.08/59.15 | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
% 59.08/59.15 | X = Y ) ).
% 59.08/59.15
% 59.08/59.15 %----(UP6): corollary to (A-4).
% 59.08/59.15 cnf(corollary_to_unordered_pair_axiom1,axiom,
% 59.08/59.15 ( ~ member(X,universal_class)
% 59.08/59.15 | unordered_pair(X,Y) != null_class ) ).
% 59.08/59.15
% 59.08/59.15 cnf(corollary_to_unordered_pair_axiom2,axiom,
% 59.08/59.15 ( ~ member(Y,universal_class)
% 59.08/59.15 | unordered_pair(X,Y) != null_class ) ).
% 59.08/59.15
% 59.08/59.15 %----corollary to instantiate variables.
% 59.08/59.15 %----Not in the paper
% 59.08/59.15 cnf(corollary_to_unordered_pair_axiom3,axiom,
% 59.08/59.15 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 59.08/59.15 | unordered_pair(X,Y) != null_class ) ).
% 59.08/59.15
% 59.08/59.15 %----(UP7): if both members of a pair belong to a set, the pair
% 59.08/59.15 %----is a subset.
% 59.08/59.15 cnf(unordered_pair_is_subset,axiom,
% 59.08/59.15 ( ~ member(X,Z)
% 59.08/59.15 | ~ member(Y,Z)
% 59.08/59.15 | subclass(unordered_pair(X,Y),Z) ) ).
% 59.08/59.15
% 59.08/59.15 %---- SINGLETONS.
% 59.08/59.15 %----(SS1): every singleton is a set.
% 59.08/59.15 cnf(singletons_are_sets,axiom,
% 59.08/59.15 member(singleton(X),universal_class) ).
% 59.08/59.15
% 59.08/59.15 %----corollary, not in the paper.
% 59.08/59.15 cnf(corollary_1_to_singletons_are_sets,axiom,
% 59.08/59.15 member(singleton(Y),unordered_pair(X,singleton(Y))) ).
% 59.08/59.15
% 59.08/59.15 %----(SS2): a set belongs to its singleton.
% 59.08/59.15 %----(u = x), (u e universal_class) --> (u e {x}).
% 59.08/59.15 cnf(set_in_its_singleton,axiom,
% 59.08/59.15 ( ~ member(X,universal_class)
% 59.08/59.15 | member(X,singleton(X)) ) ).
% 59.08/59.15
% 59.08/59.15 %----corollary
% 59.08/59.15 cnf(corollary_to_set_in_its_singleton,axiom,
% 59.08/59.15 ( ~ member(X,universal_class)
% 59.08/59.15 | singleton(X) != null_class ) ).
% 59.08/59.15
% 59.08/59.15 %----Not in the paper
% 59.08/59.16 cnf(null_class_in_its_singleton,axiom,
% 59.08/59.16 member(null_class,singleton(null_class)) ).
% 59.08/59.16
% 59.08/59.16 %----(SS3): only x can belong to {x}.
% 59.08/59.16 cnf(only_member_in_singleton,axiom,
% 59.08/59.16 ( ~ member(Y,singleton(X))
% 59.08/59.16 | Y = X ) ).
% 59.08/59.16
% 59.08/59.16 %----(SS4): if x is not a set, {x} = O.
% 59.08/59.16 cnf(singleton_is_null_class,axiom,
% 59.08/59.16 ( member(X,universal_class)
% 59.08/59.16 | singleton(X) = null_class ) ).
% 59.08/59.16
% 59.08/59.16 %----(SS5): a singleton set is determined by its element.
% 59.08/59.16 cnf(singleton_identified_by_element1,axiom,
% 59.08/59.16 ( singleton(X) != singleton(Y)
% 59.08/59.16 | ~ member(X,universal_class)
% 59.08/59.16 | X = Y ) ).
% 59.08/59.16
% 59.08/59.16 cnf(singleton_identified_by_element2,axiom,
% 59.08/59.16 ( singleton(X) != singleton(Y)
% 59.08/59.16 | ~ member(Y,universal_class)
% 59.08/59.16 | X = Y ) ).
% 59.08/59.16
% 59.08/59.16 %----(SS5.5).
% 59.08/59.16 %----Not in the paper
% 59.08/59.16 cnf(singleton_in_unordered_pair3,axiom,
% 59.08/59.16 ( unordered_pair(Y,Z) != singleton(X)
% 59.08/59.16 | ~ member(X,universal_class)
% 59.08/59.16 | X = Y
% 59.08/59.16 | X = Z ) ).
% 59.08/59.16
% 59.08/59.16 %----(SS6): existence of memb.
% 59.08/59.16 %----a:x:e:u:(((u e universal_class) & x = {u}) | (-e:y:((y
% 59.08/59.16 %----e universal_class) & x = {y}) & u = x)).
% 59.08/59.16 cnf(member_exists1,axiom,
% 59.08/59.16 ( ~ member(Y,universal_class)
% 59.08/59.16 | member(member_of(singleton(Y)),universal_class) ) ).
% 59.08/59.16
% 59.08/59.16 cnf(member_exists2,axiom,
% 59.08/59.16 ( ~ member(Y,universal_class)
% 59.08/59.16 | singleton(member_of(singleton(Y))) = singleton(Y) ) ).
% 59.08/59.16
% 59.08/59.16 cnf(member_exists3,axiom,
% 59.08/59.16 ( member(member_of(X),universal_class)
% 59.08/59.16 | member_of(X) = X ) ).
% 59.08/59.16
% 59.08/59.16 cnf(member_exists4,axiom,
% 59.08/59.16 ( singleton(member_of(X)) = X
% 59.08/59.16 | member_of(X) = X ) ).
% 59.08/59.16
% 59.08/59.16 cnf(prove_member_of_singleton_is_unique_1,negated_conjecture,
% 59.08/59.16 member(u,universal_class) ).
% 59.08/59.16
% 59.08/59.16 cnf(prove_member_of_singleton_is_unique_2,negated_conjecture,
% 59.08/59.16 member_of(singleton(u)) != u ).
% 59.08/59.16
% 59.08/59.16 %--------------------------------------------------------------------------
% 59.08/59.16 %-------------------------------------------
% 59.08/59.16 % Proof found
% 59.08/59.16 % SZS status Theorem for theBenchmark
% 59.08/59.16 % SZS output start Proof
% 59.08/59.16 %ClaNum:163(EqnAxiom:43)
% 59.08/59.16 %VarNum:920(SingletonVarNum:227)
% 59.08/59.16 %MaxLitNum:5
% 59.08/59.16 %MaxfuncDepth:24
% 59.08/59.16 %SharedTerms:37
% 59.08/59.16 %goalClause: 48 69
% 59.08/59.16 %singleGoalClaCount:2
% 59.08/59.16 [44]P1(a1)
% 59.08/59.16 [45]P2(a2)
% 59.08/59.16 [46]P5(a4,a18)
% 59.08/59.16 [47]P5(a1,a18)
% 59.08/59.16 [48]P5(a19,a18)
% 59.08/59.16 [53]P6(a5,f6(a18,a18))
% 59.08/59.16 [54]P6(a20,f6(a18,a18))
% 59.08/59.16 [55]P5(a4,f25(a4,a4))
% 59.08/59.16 [69]~E(f14(f25(a19,a19)),a19)
% 59.08/59.16 [64]E(f10(f9(f11(f6(a23,a18))),a23),a13)
% 59.08/59.16 [66]E(f10(f6(a18,a18),f10(f6(a18,a18),f8(f7(f8(a5),f9(f11(f6(a5,a18))))))),a23)
% 59.08/59.16 [49]P6(x491,a18)
% 59.08/59.16 [50]P6(a4,x501)
% 59.08/59.16 [51]P6(x511,x511)
% 59.08/59.16 [68]~P5(x681,a4)
% 59.08/59.16 [62]P6(f21(x621),f6(f6(a18,a18),a18))
% 59.08/59.16 [63]P6(f11(x631),f6(f6(a18,a18),a18))
% 59.08/59.16 [67]E(f10(f9(x671),f8(f9(f10(f7(f9(f11(f6(a5,a18))),x671),a13)))),f3(x671))
% 59.08/59.16 [52]E(f25(x521,x522),f25(x522,x521))
% 59.08/59.16 [56]P5(f25(x561,x562),a18)
% 59.08/59.16 [58]P6(f7(x581,x582),f6(a18,a18))
% 59.08/59.16 [59]P6(f25(x591,x591),f25(x592,x591))
% 59.08/59.16 [60]P6(f25(x601,x601),f25(x601,x602))
% 59.08/59.16 [65]P5(f25(x651,x651),f25(x652,f25(x651,x651)))
% 59.08/59.16 [70]~P5(x701,f10(f8(x702),x702))
% 59.08/59.16 [61]E(f10(f6(x611,x612),x613),f10(x613,f6(x611,x612)))
% 59.08/59.16 [71]~P7(x711)+P2(x711)
% 59.08/59.16 [72]~P8(x721)+P2(x721)
% 59.08/59.16 [75]~P1(x751)+P6(a1,x751)
% 59.08/59.16 [76]~P1(x761)+P5(a4,x761)
% 59.08/59.16 [77]~P6(x771,a4)+E(x771,a4)
% 59.08/59.16 [79]P5(f22(x791),x791)+E(x791,a4)
% 59.08/59.16 [80]E(f14(x801),x801)+P5(f14(x801),a18)
% 59.08/59.16 [81]P5(x811,a18)+E(f25(x811,x811),a4)
% 59.08/59.16 [83]E(x831,a4)+P5(f15(x831,a4),x831)
% 59.08/59.16 [87]~P2(x871)+P6(x871,f6(a18,a18))
% 59.08/59.16 [78]E(x781,a4)+E(f10(x781,f22(x781)),a4)
% 59.08/59.16 [82]E(f14(x821),x821)+E(f25(f14(x821),f14(x821)),x821)
% 59.08/59.16 [115]~P5(x1151,a18)+P5(f14(f25(x1151,x1151)),a18)
% 59.08/59.16 [100]~P8(x1001)+E(f6(f9(f9(x1001)),f9(f9(x1001))),f9(x1001))
% 59.08/59.16 [119]~P7(x1191)+P2(f9(f11(f6(x1191,a18))))
% 59.08/59.16 [123]~P5(x1231,a18)+E(f25(f14(f25(x1231,x1231)),f14(f25(x1231,x1231))),f25(x1231,x1231))
% 59.08/59.16 [125]~P5(x1251,a18)+P5(f9(f10(a5,f6(a18,x1251))),a18)
% 59.08/59.16 [127]~P9(x1271)+P6(f7(x1271,f9(f11(f6(x1271,a18)))),a13)
% 59.08/59.16 [128]~P2(x1281)+P6(f7(x1281,f9(f11(f6(x1281,a18)))),a13)
% 59.08/59.16 [129]~P8(x1291)+P6(f9(f9(f11(f6(x1291,a18)))),f9(f9(x1291)))
% 59.08/59.16 [134]P9(x1341)+~P6(f7(x1341,f9(f11(f6(x1341,a18)))),a13)
% 59.08/59.16 [150]~P1(x1501)+P6(f9(f9(f11(f6(f10(a20,f6(x1501,a18)),a18)))),x1501)
% 59.08/59.16 [154]~P5(x1541,a18)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1541),a18)),a18))))),a18)
% 59.08/59.16 [73]~E(x732,x731)+P6(x731,x732)
% 59.08/59.16 [74]~E(x741,x742)+P6(x741,x742)
% 59.08/59.16 [85]P5(x852,a18)+E(f25(x851,x852),f25(x851,x851))
% 59.08/59.16 [86]P5(x861,a18)+E(f25(x861,x862),f25(x862,x862))
% 59.08/59.16 [88]~P5(x882,a18)+~E(f25(x881,x882),a4)
% 59.08/59.16 [89]~P5(x891,a18)+~E(f25(x891,x892),a4)
% 59.08/59.16 [92]P6(x921,x922)+P5(f15(x921,x922),x921)
% 59.08/59.16 [93]~P5(x931,x932)+~P5(x931,f8(x932))
% 59.08/59.16 [97]~P5(x971,a18)+P5(x971,f25(x972,x971))
% 59.08/59.16 [98]~P5(x981,a18)+P5(x981,f25(x981,x982))
% 59.08/59.16 [101]E(x1011,x1012)+~P5(x1011,f25(x1012,x1012))
% 59.08/59.16 [108]P6(x1081,x1082)+~P5(f15(x1081,x1082),x1082)
% 59.08/59.16 [124]~P5(x1242,f9(x1241))+~E(f10(x1241,f6(f25(x1242,x1242),a18)),a4)
% 59.08/59.16 [133]P5(x1331,x1332)+~P5(f25(f25(x1331,x1331),f25(x1331,f25(x1332,x1332))),a5)
% 59.08/59.16 [147]~P5(f25(f25(x1471,x1471),f25(x1471,f25(x1472,x1472))),a20)+E(f8(f10(f8(x1471),f8(f25(x1471,x1471)))),x1472)
% 59.08/59.16 [112]P2(x1121)+~P3(x1121,x1122,x1123)
% 59.08/59.16 [113]P8(x1131)+~P4(x1132,x1133,x1131)
% 59.08/59.16 [114]P8(x1141)+~P4(x1142,x1141,x1143)
% 59.08/59.16 [122]~P4(x1221,x1222,x1223)+P3(x1221,x1222,x1223)
% 59.08/59.16 [106]P5(x1061,x1062)+~P5(x1061,f10(x1063,x1062))
% 59.08/59.16 [107]P5(x1071,x1072)+~P5(x1071,f10(x1072,x1073))
% 59.08/59.16 [116]~P3(x1162,x1161,x1163)+E(f9(f9(x1161)),f9(x1162))
% 59.08/59.16 [130]~P5(x1301,f6(x1302,x1303))+E(f25(f25(f12(x1301),f12(x1301)),f25(f12(x1301),f25(f24(x1301),f24(x1301)))),x1301)
% 59.08/59.16 [132]~P3(x1321,x1323,x1322)+P6(f9(f9(f11(f6(x1321,a18)))),f9(f9(x1322)))
% 59.08/59.16 [135]P5(x1351,a18)+~P5(f25(f25(x1352,x1352),f25(x1352,f25(x1351,x1351))),f6(x1353,x1354))
% 59.08/59.16 [136]P5(x1361,a18)+~P5(f25(f25(x1361,x1361),f25(x1361,f25(x1362,x1362))),f6(x1363,x1364))
% 59.08/59.16 [137]P5(x1371,x1372)+~P5(f25(f25(x1373,x1373),f25(x1373,f25(x1371,x1371))),f6(x1374,x1372))
% 59.08/59.16 [138]P5(x1381,x1382)+~P5(f25(f25(x1381,x1381),f25(x1381,f25(x1383,x1383))),f6(x1382,x1384))
% 59.08/59.16 [139]~E(f25(x1391,x1392),a4)+~P5(f25(f25(x1391,x1391),f25(x1391,f25(x1392,x1392))),f6(x1393,x1394))
% 59.08/59.16 [143]P5(x1431,f25(x1432,x1431))+~P5(f25(f25(x1432,x1432),f25(x1432,f25(x1431,x1431))),f6(x1433,x1434))
% 59.08/59.16 [144]P5(x1441,f25(x1441,x1442))+~P5(f25(f25(x1441,x1441),f25(x1441,f25(x1442,x1442))),f6(x1443,x1444))
% 59.08/59.16 [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)
% 59.08/59.16 [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)
% 59.08/59.16 [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)))))
% 59.08/59.16 [126]~P2(x1261)+P7(x1261)+~P2(f9(f11(f6(x1261,a18))))
% 59.08/59.16 [140]P2(x1401)+~P6(x1401,f6(a18,a18))+~P6(f7(x1401,f9(f11(f6(x1401,a18)))),a13)
% 59.08/59.16 [152]P1(x1521)+~P5(a4,x1521)+~P6(f9(f9(f11(f6(f10(a20,f6(x1521,a18)),a18)))),x1521)
% 59.08/59.16 [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)
% 59.08/59.16 [91]~P6(x912,x911)+~P6(x911,x912)+E(x911,x912)
% 59.08/59.16 [84]P5(x842,a18)+P5(x841,a18)+E(f25(x841,x842),a4)
% 59.08/59.16 [94]P5(x941,x942)+P5(x941,f8(x942))+~P5(x941,a18)
% 59.08/59.16 [102]E(x1021,x1022)+~E(f25(x1021,x1021),f25(x1022,x1022))+~P5(x1022,a18)
% 59.08/59.16 [103]E(x1031,x1032)+~E(f25(x1031,x1031),f25(x1032,x1032))+~P5(x1031,a18)
% 59.08/59.16 [109]E(x1091,x1092)+P5(f15(x1092,x1091),x1092)+P5(f15(x1091,x1092),x1091)
% 59.08/59.16 [118]E(x1181,x1182)+P5(f15(x1182,x1181),x1182)+~P5(f15(x1181,x1182),x1182)
% 59.08/59.16 [120]E(x1201,x1202)+~P5(f15(x1202,x1201),x1201)+~P5(f15(x1201,x1202),x1202)
% 59.08/59.16 [121]P5(x1212,f9(x1211))+~P5(x1212,a18)+E(f10(x1211,f6(f25(x1212,x1212),a18)),a4)
% 59.08/59.16 [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)
% 59.08/59.16 [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)
% 59.08/59.16 [151]~P2(x1511)+~P5(x1512,a18)+P5(f9(f9(f11(f6(f10(x1511,f6(x1512,a18)),a18)))),a18)
% 59.08/59.16 [95]~P6(x951,x953)+P6(x951,x952)+~P6(x953,x952)
% 59.08/59.16 [96]~P5(x961,x963)+P5(x961,x962)+~P6(x963,x962)
% 59.08/59.16 [104]E(x1041,x1042)+E(x1041,x1043)+~P5(x1041,f25(x1043,x1042))
% 59.08/59.16 [110]~P5(x1101,x1103)+~P5(x1101,x1102)+P5(x1101,f10(x1102,x1103))
% 59.08/59.16 [111]~P5(x1112,x1113)+~P5(x1111,x1113)+P6(f25(x1111,x1112),x1113)
% 59.08/59.16 [141]E(x1411,x1412)+~E(f25(x1413,x1411),f25(x1413,x1412))+~P5(f25(f25(x1411,x1411),f25(x1411,f25(x1412,x1412))),f6(a18,a18))
% 59.08/59.16 [142]E(x1421,x1422)+~E(f25(x1421,x1423),f25(x1422,x1423))+~P5(f25(f25(x1421,x1421),f25(x1421,f25(x1422,x1422))),f6(a18,a18))
% 59.08/59.16 [131]~P5(x1312,x1314)+~P5(x1311,x1313)+P5(f25(f25(x1311,x1311),f25(x1311,f25(x1312,x1312))),f6(x1313,x1314))
% 59.08/59.16 [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))
% 59.08/59.16 [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))
% 59.08/59.16 [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)))))
% 59.08/59.16 [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))))))))
% 59.08/59.16 [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)))
% 59.08/59.16 [105]E(x1051,x1052)+E(x1053,x1052)+~E(f25(x1053,x1051),f25(x1052,x1052))+~P5(x1052,a18)
% 59.08/59.16 [145]~P2(x1451)+P3(x1451,x1452,x1453)+~E(f9(f9(x1452)),f9(x1451))+~P6(f9(f9(f11(f6(x1451,a18)))),f9(f9(x1453)))
% 59.08/59.16 [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))
% 59.08/59.16 [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))))))))
% 59.08/59.16 %EqnAxiom
% 59.08/59.16 [1]E(x11,x11)
% 59.08/59.16 [2]E(x22,x21)+~E(x21,x22)
% 59.08/59.16 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 59.08/59.16 [4]~E(x41,x42)+E(f25(x41,x43),f25(x42,x43))
% 59.08/59.16 [5]~E(x51,x52)+E(f25(x53,x51),f25(x53,x52))
% 59.08/59.16 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 59.08/59.16 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 59.08/59.16 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 59.08/59.16 [9]~E(x91,x92)+E(f11(x91),f11(x92))
% 59.08/59.16 [10]~E(x101,x102)+E(f10(x101,x103),f10(x102,x103))
% 59.08/59.16 [11]~E(x111,x112)+E(f10(x113,x111),f10(x113,x112))
% 59.08/59.16 [12]~E(x121,x122)+E(f8(x121),f8(x122))
% 59.08/59.16 [13]~E(x131,x132)+E(f7(x131,x133),f7(x132,x133))
% 59.08/59.16 [14]~E(x141,x142)+E(f7(x143,x141),f7(x143,x142))
% 59.08/59.16 [15]~E(x151,x152)+E(f17(x151,x153,x154),f17(x152,x153,x154))
% 59.08/59.16 [16]~E(x161,x162)+E(f17(x163,x161,x164),f17(x163,x162,x164))
% 59.08/59.16 [17]~E(x171,x172)+E(f17(x173,x174,x171),f17(x173,x174,x172))
% 59.08/59.16 [18]~E(x181,x182)+E(f16(x181,x183,x184),f16(x182,x183,x184))
% 59.08/59.16 [19]~E(x191,x192)+E(f16(x193,x191,x194),f16(x193,x192,x194))
% 59.08/59.16 [20]~E(x201,x202)+E(f16(x203,x204,x201),f16(x203,x204,x202))
% 59.08/59.16 [21]~E(x211,x212)+E(f14(x211),f14(x212))
% 59.08/59.16 [22]~E(x221,x222)+E(f21(x221),f21(x222))
% 59.08/59.16 [23]~E(x231,x232)+E(f15(x231,x233),f15(x232,x233))
% 59.08/59.16 [24]~E(x241,x242)+E(f15(x243,x241),f15(x243,x242))
% 59.08/59.16 [25]~E(x251,x252)+E(f12(x251),f12(x252))
% 59.08/59.16 [26]~E(x261,x262)+E(f3(x261),f3(x262))
% 59.08/59.16 [27]~E(x271,x272)+E(f22(x271),f22(x272))
% 59.08/59.16 [28]~E(x281,x282)+E(f24(x281),f24(x282))
% 59.08/59.16 [29]~P1(x291)+P1(x292)+~E(x291,x292)
% 59.08/59.16 [30]~P2(x301)+P2(x302)+~E(x301,x302)
% 59.08/59.16 [31]P5(x312,x313)+~E(x311,x312)+~P5(x311,x313)
% 59.08/59.16 [32]P5(x323,x322)+~E(x321,x322)+~P5(x323,x321)
% 59.08/59.16 [33]P3(x332,x333,x334)+~E(x331,x332)+~P3(x331,x333,x334)
% 59.08/59.16 [34]P3(x343,x342,x344)+~E(x341,x342)+~P3(x343,x341,x344)
% 59.08/59.16 [35]P3(x353,x354,x352)+~E(x351,x352)+~P3(x353,x354,x351)
% 59.08/59.16 [36]~P8(x361)+P8(x362)+~E(x361,x362)
% 59.08/59.16 [37]P6(x372,x373)+~E(x371,x372)+~P6(x371,x373)
% 59.08/59.16 [38]P6(x383,x382)+~E(x381,x382)+~P6(x383,x381)
% 59.08/59.16 [39]P4(x392,x393,x394)+~E(x391,x392)+~P4(x391,x393,x394)
% 59.08/59.16 [40]P4(x403,x402,x404)+~E(x401,x402)+~P4(x403,x401,x404)
% 59.08/59.16 [41]P4(x413,x414,x412)+~E(x411,x412)+~P4(x413,x414,x411)
% 59.08/59.16 [42]~P7(x421)+P7(x422)+~E(x421,x422)
% 59.08/59.16 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 59.08/59.16
% 59.08/59.16 %-------------------------------------------
% 59.08/59.16 cnf(173,plain,
% 59.08/59.16 (E(f10(x1731,f6(x1732,x1733)),f10(f6(x1732,x1733),x1731))),
% 59.08/59.16 inference(scs_inference,[],[61,2])).
% 59.08/59.16 cnf(174,plain,
% 59.08/59.16 (~P1(a4)),
% 59.08/59.16 inference(scs_inference,[],[68,61,2,76])).
% 59.08/59.16 cnf(175,plain,
% 59.08/59.16 (~P5(x1751,a4)),
% 59.08/59.16 inference(rename_variables,[],[68])).
% 59.08/59.16 cnf(177,plain,
% 59.08/59.16 (E(f10(f8(x1771),x1771),a4)),
% 59.08/59.16 inference(scs_inference,[],[68,61,70,2,76,83])).
% 59.08/59.16 cnf(178,plain,
% 59.08/59.16 (~P5(x1781,f10(f8(x1782),x1782))),
% 59.08/59.16 inference(rename_variables,[],[70])).
% 59.08/59.16 cnf(180,plain,
% 59.08/59.16 (P6(f10(f8(x1801),x1801),x1802)),
% 59.08/59.16 inference(scs_inference,[],[68,61,70,178,2,76,83,92])).
% 59.08/59.16 cnf(181,plain,
% 59.08/59.16 (~P5(x1811,f10(f8(x1812),x1812))),
% 59.08/59.16 inference(rename_variables,[],[70])).
% 59.08/59.16 cnf(183,plain,
% 59.08/59.16 (~P5(f25(f25(f25(f25(x1831,x1831),f25(x1831,f25(x1832,x1832))),f25(f25(x1831,x1831),f25(x1831,f25(x1832,x1832)))),f25(f25(f25(x1831,x1831),f25(x1831,f25(x1832,x1832))),f25(x1833,x1833))),f21(a4))),
% 59.08/59.16 inference(scs_inference,[],[68,175,61,70,178,2,76,83,92,155])).
% 59.08/59.16 cnf(184,plain,
% 59.08/59.16 (~P5(x1841,a4)),
% 59.08/59.16 inference(rename_variables,[],[68])).
% 59.08/59.16 cnf(187,plain,
% 59.08/59.16 (~P5(x1871,a4)),
% 59.08/59.16 inference(rename_variables,[],[68])).
% 59.08/59.16 cnf(189,plain,
% 59.08/59.16 (~P5(x1891,f9(f8(f6(f25(x1891,x1891),a18))))),
% 59.08/59.16 inference(scs_inference,[],[68,175,184,61,70,178,2,76,83,92,155,156,124])).
% 59.08/59.16 cnf(191,plain,
% 59.08/59.16 (P5(f25(x1911,x1911),f25(f25(x1911,x1911),x1912))),
% 59.08/59.16 inference(scs_inference,[],[68,175,184,60,65,61,70,178,2,76,83,92,155,156,124,96])).
% 59.08/59.16 cnf(195,plain,
% 59.08/59.16 (E(a4,f10(f8(x1951),x1951))),
% 59.08/59.16 inference(scs_inference,[],[68,175,184,187,60,65,61,70,178,181,2,76,83,92,155,156,124,96,109])).
% 59.08/59.16 cnf(196,plain,
% 59.08/59.16 (~P5(x1961,f10(f8(x1962),x1962))),
% 59.08/59.17 inference(rename_variables,[],[70])).
% 59.08/59.17 cnf(197,plain,
% 59.08/59.17 (~P5(x1971,a4)),
% 59.08/59.17 inference(rename_variables,[],[68])).
% 59.08/59.17 cnf(199,plain,
% 59.08/59.17 (~P5(a19,f8(a18))),
% 59.08/59.17 inference(scs_inference,[],[48,68,175,184,187,60,65,61,70,178,181,196,2,76,83,92,155,156,124,96,109,110])).
% 59.08/59.17 cnf(202,plain,
% 59.08/59.17 (E(f10(f10(f6(a18,a18),f8(f7(f8(a5),f9(f11(f6(a5,a18)))))),f6(a18,a18)),a23)),
% 59.08/59.17 inference(scs_inference,[],[48,68,175,184,187,60,65,61,70,178,181,196,66,2,76,83,92,155,156,124,96,109,110,3])).
% 59.08/59.17 cnf(203,plain,
% 59.08/59.17 (P5(f10(f8(x2031),x2031),a18)),
% 59.08/59.17 inference(scs_inference,[],[48,46,68,175,184,187,60,65,61,70,178,181,196,66,2,76,83,92,155,156,124,96,109,110,3,31])).
% 59.08/59.17 cnf(204,plain,
% 59.08/59.17 (~E(a18,a4)),
% 59.08/59.17 inference(scs_inference,[],[48,46,68,175,184,187,197,60,65,61,70,178,181,196,66,2,76,83,92,155,156,124,96,109,110,3,31,32])).
% 59.08/59.17 cnf(207,plain,
% 59.08/59.17 (P1(a18)),
% 59.08/59.17 inference(scs_inference,[],[48,46,49,68,175,184,187,197,60,65,61,70,178,181,196,66,2,76,83,92,155,156,124,96,109,110,3,31,32,29,152])).
% 59.08/59.17 cnf(210,plain,
% 59.08/59.17 (P6(f25(x2101,x2102),f25(x2102,x2101))),
% 59.08/59.17 inference(scs_inference,[],[48,46,51,49,68,175,184,187,197,52,60,65,61,70,178,181,196,66,2,76,83,92,155,156,124,96,109,110,3,31,32,29,152,37])).
% 59.08/59.17 cnf(214,plain,
% 59.08/59.17 (~P6(a18,a4)),
% 59.08/59.17 inference(scs_inference,[],[48,46,51,49,68,175,184,187,197,52,60,65,61,70,178,181,196,66,2,76,83,92,155,156,124,96,109,110,3,31,32,29,152,37,79,77])).
% 59.08/59.17 cnf(218,plain,
% 59.08/59.17 (~E(a4,a18)),
% 59.08/59.17 inference(scs_inference,[],[48,46,51,49,68,175,184,187,197,52,60,58,65,61,70,178,181,196,66,2,76,83,92,155,156,124,96,109,110,3,31,32,29,152,37,79,77,91,73])).
% 59.08/59.17 cnf(231,plain,
% 59.08/59.17 (~P5(f25(f25(f25(f25(x2311,x2311),f25(x2311,f25(x2312,x2312))),f25(f25(x2311,x2311),f25(x2311,f25(x2312,x2312)))),f25(f25(f25(x2311,x2311),f25(x2311,f25(x2312,x2312))),f25(x2313,x2313))),f21(f21(a4)))),
% 59.08/59.17 inference(scs_inference,[],[183,189,76,155])).
% 59.08/59.17 cnf(238,plain,
% 59.08/59.17 (~P1(f10(f8(x2381),x2381))),
% 59.08/59.17 inference(scs_inference,[],[202,180,183,177,174,189,214,76,155,156,2,37,29])).
% 59.08/59.17 cnf(242,plain,
% 59.08/59.17 (~E(a18,f8(a18))),
% 59.08/59.17 inference(scs_inference,[],[48,173,203,202,199,180,183,177,174,189,214,76,155,156,2,37,29,31,32])).
% 59.08/59.17 cnf(256,plain,
% 59.08/59.17 (~P5(f25(f25(f25(f25(x2561,x2561),f25(x2561,f25(x2562,x2562))),f25(f25(x2561,x2561),f25(x2561,f25(x2562,x2562)))),f25(f25(f25(x2561,x2561),f25(x2561,f25(x2562,x2562))),f25(x2563,x2563))),f21(f21(f21(a4))))),
% 59.08/59.17 inference(scs_inference,[],[231,155])).
% 59.08/59.17 cnf(266,plain,
% 59.08/59.17 (P5(f10(f8(x2661),x2661),f25(a4,a4))),
% 59.08/59.17 inference(scs_inference,[],[195,238,231,56,55,64,61,155,156,2,29,32,31])).
% 59.08/59.17 cnf(281,plain,
% 59.08/59.17 (~P5(f25(f25(f25(f25(x2811,x2811),f25(x2811,f25(x2812,x2812))),f25(f25(x2811,x2811),f25(x2811,f25(x2812,x2812)))),f25(f25(f25(x2811,x2811),f25(x2811,f25(x2812,x2812))),f25(x2813,x2813))),f11(f21(f21(f21(a4)))))),
% 59.08/59.17 inference(scs_inference,[],[256,156])).
% 59.08/59.17 cnf(286,plain,
% 59.08/59.17 (~E(f25(a4,a4),f10(f8(x2861),x2861))),
% 59.08/59.17 inference(scs_inference,[],[266,256,70,66,156,155,2,32])).
% 59.08/59.17 cnf(288,plain,
% 59.08/59.17 (P5(f10(f6(x2881,x2882),f8(f6(x2881,x2882))),f25(a4,a4))),
% 59.08/59.17 inference(scs_inference,[],[266,173,256,70,66,156,155,2,32,31])).
% 59.08/59.17 cnf(291,plain,
% 59.08/59.17 (E(f10(f6(x2911,x2912),f8(f6(x2911,x2912))),a4)),
% 59.08/59.17 inference(scs_inference,[],[266,173,256,70,66,156,155,2,32,31,101])).
% 59.08/59.17 cnf(302,plain,
% 59.08/59.17 (~P5(f25(f25(f25(f25(x3021,x3021),f25(x3021,f25(x3022,x3022))),f25(f25(x3021,x3021),f25(x3021,f25(x3022,x3022)))),f25(f25(f25(x3021,x3021),f25(x3021,f25(x3022,x3022))),f25(x3023,x3023))),f21(f11(f21(f21(f21(a4))))))),
% 59.08/59.17 inference(scs_inference,[],[281,155])).
% 59.08/59.17 cnf(304,plain,
% 59.08/59.17 (~P5(f25(f25(f25(f25(x3041,x3041),f25(x3041,f25(x3042,x3042))),f25(f25(x3041,x3041),f25(x3041,f25(x3042,x3042)))),f25(f25(f25(x3041,x3041),f25(x3041,f25(x3042,x3042))),f25(x3043,x3043))),f11(f11(f21(f21(f21(a4))))))),
% 59.08/59.17 inference(scs_inference,[],[281,155,156])).
% 59.08/59.17 cnf(311,plain,
% 59.08/59.17 (~P6(f25(a4,a4),a4)),
% 59.08/59.17 inference(scs_inference,[],[195,286,291,281,56,155,156,2,3,32,77])).
% 59.08/59.17 cnf(317,plain,
% 59.16/59.17 (E(f22(f25(a4,a4)),a4)),
% 59.16/59.17 inference(scs_inference,[],[195,286,291,281,56,155,156,2,3,32,77,79,73,104])).
% 59.16/59.17 cnf(335,plain,
% 59.16/59.17 (~P5(f25(f25(f25(f25(x3351,x3351),f25(x3351,f25(x3352,x3352))),f25(f25(x3351,x3351),f25(x3351,f25(x3352,x3352)))),f25(f25(f25(x3351,x3351),f25(x3351,f25(x3352,x3352))),f25(x3353,x3353))),f11(f21(f11(f21(f21(f21(a4)))))))),
% 59.16/59.17 inference(scs_inference,[],[302,156])).
% 59.16/59.17 cnf(337,plain,
% 59.16/59.17 (~P5(f25(f25(f25(f25(x3371,x3371),f25(x3371,f25(x3372,x3372))),f25(f25(x3371,x3371),f25(x3371,f25(x3372,x3372)))),f25(f25(f25(x3371,x3371),f25(x3371,f25(x3372,x3372))),f25(x3373,x3373))),f21(f21(f11(f21(f21(f21(a4)))))))),
% 59.16/59.17 inference(scs_inference,[],[302,156,155])).
% 59.16/59.17 cnf(339,plain,
% 59.16/59.17 (E(a4,f22(f25(a4,a4)))),
% 59.16/59.17 inference(scs_inference,[],[317,302,156,155,2])).
% 59.16/59.17 cnf(340,plain,
% 59.16/59.17 (P5(f10(f6(x3401,x3402),f8(f6(x3401,x3402))),f25(x3403,a4))),
% 59.16/59.17 inference(scs_inference,[],[288,317,302,59,156,155,2,96])).
% 59.16/59.17 cnf(341,plain,
% 59.16/59.17 (P6(f25(x3411,x3411),f25(x3412,x3411))),
% 59.16/59.17 inference(rename_variables,[],[59])).
% 59.16/59.17 cnf(352,plain,
% 59.16/59.17 (~P6(f25(x3521,a4),a4)),
% 59.16/59.17 inference(scs_inference,[],[204,288,291,317,302,174,56,59,341,311,156,155,2,96,38,31,29,3,32,79,77])).
% 59.16/59.17 cnf(372,plain,
% 59.16/59.17 (~E(f25(a4,x3721),a4)),
% 59.16/59.17 inference(scs_inference,[],[266,335,210,59,352,155,156,96,38])).
% 59.16/59.17 cnf(377,plain,
% 59.16/59.17 (~E(f25(x3771,a4),f10(f8(x3772),x3772))),
% 59.16/59.17 inference(scs_inference,[],[266,340,286,335,70,210,59,61,352,155,156,96,38,3,32])).
% 59.16/59.17 cnf(381,plain,
% 59.16/59.17 (~P6(f25(a4,x3811),a4)),
% 59.16/59.17 inference(scs_inference,[],[266,340,286,335,70,210,59,61,352,155,156,96,38,3,32,79,77])).
% 59.16/59.17 cnf(406,plain,
% 59.16/59.17 (P5(f10(f6(x4061,x4062),f8(f6(x4061,x4062))),f25(a4,x4063))),
% 59.16/59.17 inference(scs_inference,[],[340,337,210,381,156,155,73,96])).
% 59.16/59.17 cnf(412,plain,
% 59.16/59.17 (P5(a4,f25(a4,x4121))),
% 59.16/59.17 inference(scs_inference,[],[340,291,377,337,210,61,381,156,155,73,96,3,31])).
% 59.16/59.17 cnf(433,plain,
% 59.16/59.17 (P5(f10(f8(x4331),x4331),f25(a4,x4332))),
% 59.16/59.17 inference(scs_inference,[],[195,406,412,304,70,155,156,32,31])).
% 59.16/59.17 cnf(956,plain,
% 59.16/59.17 (~P5(a4,f8(a18))),
% 59.16/59.17 inference(scs_inference,[],[207,93,76])).
% 59.16/59.17 cnf(2843,plain,
% 59.16/59.17 ($false),
% 59.16/59.17 inference(scs_inference,[],[48,218,242,69,191,433,372,44,45,189,352,956,339,173,93,106,107,87,97,98,6,9,12,21,22,25,26,27,28,88,89,4,5,7,8,10,11,13,14,23,24,78,115,15,16,17,18,19,20,128,125,133,137,138,123,150,83,101,74,76,92,2,73,111,102]),
% 59.16/59.17 ['proof']).
% 59.16/59.17 % SZS output end Proof
% 59.16/59.17 % Total time :58.520000s
%------------------------------------------------------------------------------