TSTP Solution File: SET664+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET664+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 14:30:38 EDT 2023
% Result : Theorem 1.59s 1.65s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET664+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n010.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 11:48:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 1.54/1.64 %-------------------------------------------
% 1.54/1.64 % File :CSE---1.6
% 1.54/1.64 % Problem :theBenchmark
% 1.54/1.64 % Transform :cnf
% 1.54/1.64 % Format :tptp:raw
% 1.54/1.64 % Command :java -jar mcs_scs.jar %d %s
% 1.54/1.64
% 1.54/1.64 % Result :Theorem 1.000000s
% 1.54/1.64 % Output :CNFRefutation 1.000000s
% 1.54/1.64 %-------------------------------------------
% 1.54/1.64 %--------------------------------------------------------------------------
% 1.54/1.64 % File : SET664+3 : TPTP v8.1.2. Released v2.2.0.
% 1.54/1.64 % Domain : Set Theory (Relations)
% 1.54/1.64 % Problem : R (X to Y) is (X to empty set) => R is empty set
% 1.54/1.64 % Version : [Wor90] axioms : Reduced > Incomplete.
% 1.54/1.64 % English : If a relation R from X to Y is a relation from X to the empty
% 1.54/1.64 % set then R is the empty set.
% 1.54/1.64
% 1.54/1.64 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 1.54/1.64 % : [Wor90] Woronowicz (1990), Relations Defined on Sets
% 1.54/1.64 % Source : [ILF]
% 1.54/1.64 % Names : RELSET_1 (27) [Wor90]
% 1.54/1.64
% 1.54/1.64 % Status : Theorem
% 1.54/1.64 % Rating : 0.31 v7.5.0, 0.34 v7.4.0, 0.20 v7.3.0, 0.28 v7.1.0, 0.30 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.33 v6.2.0, 0.28 v6.1.0, 0.30 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.1, 0.39 v4.0.0, 0.38 v3.7.0, 0.35 v3.5.0, 0.37 v3.4.0, 0.26 v3.3.0, 0.29 v3.2.0, 0.27 v3.1.0, 0.22 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.12 v2.4.0, 0.25 v2.3.0, 0.33 v2.2.1
% 1.54/1.64 % Syntax : Number of formulae : 35 ( 4 unt; 0 def)
% 1.54/1.64 % Number of atoms : 124 ( 12 equ)
% 1.54/1.64 % Maximal formula atoms : 7 ( 3 avg)
% 1.54/1.64 % Number of connectives : 94 ( 5 ~; 1 |; 9 &)
% 1.54/1.64 % ( 9 <=>; 70 =>; 0 <=; 0 <~>)
% 1.54/1.64 % Maximal formula depth : 11 ( 6 avg)
% 1.54/1.64 % Maximal term depth : 3 ( 1 avg)
% 1.54/1.64 % Number of predicates : 7 ( 6 usr; 0 prp; 1-2 aty)
% 1.54/1.64 % Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% 1.54/1.64 % Number of variables : 70 ( 64 !; 6 ?)
% 1.54/1.64 % SPC : FOF_THM_RFO_SEQ
% 1.54/1.64
% 1.54/1.64 % Comments :
% 1.54/1.64 %--------------------------------------------------------------------------
% 1.54/1.64 %---- line(boole - th(30),1909435)
% 1.54/1.64 fof(p1,axiom,
% 1.54/1.64 ! [B] :
% 1.54/1.64 ( ilf_type(B,set_type)
% 1.54/1.64 => ( subset(B,empty_set)
% 1.54/1.64 => B = empty_set ) ) ).
% 1.54/1.64
% 1.54/1.64 %---- line(relat_1 - th(64),1918818)
% 1.54/1.64 fof(p2,axiom,
% 1.54/1.64 ! [B] :
% 1.54/1.64 ( ilf_type(B,binary_relation_type)
% 1.54/1.64 => ( ( domain_of(B) = empty_set
% 1.54/1.64 | range_of(B) = empty_set )
% 1.54/1.64 => B = empty_set ) ) ).
% 1.54/1.64
% 1.54/1.64 %---- line(relset_1 - th(12),1916203)
% 1.54/1.64 fof(p3,axiom,
% 1.54/1.64 ! [B] :
% 1.54/1.64 ( ilf_type(B,set_type)
% 1.54/1.64 => ! [C] :
% 1.54/1.64 ( ilf_type(C,set_type)
% 1.54/1.64 => ! [D] :
% 1.54/1.64 ( ilf_type(D,relation_type(B,C))
% 1.54/1.64 => ( subset(domain_of(D),B)
% 1.54/1.64 & subset(range_of(D),C) ) ) ) ) ).
% 1.54/1.64
% 1.54/1.64 %---- line(hidden - axiom266,1832636)
% 1.54/1.64 fof(p4,axiom,
% 1.54/1.64 ! [B] :
% 1.54/1.64 ( ilf_type(B,set_type)
% 1.54/1.64 => ~ member(B,empty_set) ) ).
% 1.54/1.64
% 1.54/1.64 %---- declaration(line(hidden - axiom266,1832636)) Part 1
% 1.54/1.64 fof(p5a,axiom,
% 1.54/1.64 empty(empty_set) ).
% 1.54/1.64
% 1.54/1.65 %---- declaration(line(hidden - axiom266,1832636)) Part 2
% 1.54/1.65 fof(p5b,axiom,
% 1.54/1.65 type(empty_set,set_type) ).
% 1.54/1.65
% 1.54/1.65 %---- line(relset_1 - df(1),1916080)
% 1.54/1.65 fof(p6,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ( ! [D] :
% 1.54/1.65 ( ilf_type(D,subset_type(cross_product(B,C)))
% 1.54/1.65 => ilf_type(D,relation_type(B,C)) )
% 1.54/1.65 & ! [E] :
% 1.54/1.65 ( ilf_type(E,relation_type(B,C))
% 1.54/1.65 => ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- type_nonempty(line(relset_1 - df(1),1916080))
% 1.54/1.65 fof(p7,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ? [D] : ilf_type(D,relation_type(C,B)) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- line(relat_1 - df(2),1917780)
% 1.54/1.65 fof(p8,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,binary_relation_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,binary_relation_type)
% 1.54/1.65 => ( B = C
% 1.54/1.65 <=> ! [D] :
% 1.54/1.65 ( ilf_type(D,set_type)
% 1.54/1.65 => ! [E] :
% 1.54/1.65 ( ilf_type(E,set_type)
% 1.54/1.65 => ( member(ordered_pair(D,E),B)
% 1.54/1.65 <=> member(ordered_pair(D,E),C) ) ) ) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- declaration(op(domain_of,1,function))
% 1.54/1.65 fof(p9,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,binary_relation_type)
% 1.54/1.65 => ilf_type(domain_of(B),set_type) ) ).
% 1.54/1.65
% 1.54/1.65 %---- declaration(op(cross_product,2,function))
% 1.54/1.65 fof(p10,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ilf_type(cross_product(B,C),set_type) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- declaration(op(range_of,1,function))
% 1.54/1.65 fof(p11,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,binary_relation_type)
% 1.54/1.65 => ilf_type(range_of(B),set_type) ) ).
% 1.54/1.65
% 1.54/1.65 %---- declaration(op(ordered_pair,2,function))
% 1.54/1.65 fof(p12,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ilf_type(ordered_pair(B,C),set_type) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- line(relat_1 - axiom267,1917641)
% 1.54/1.65 fof(p13,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ( ilf_type(B,binary_relation_type)
% 1.54/1.65 <=> ( relation_like(B)
% 1.54/1.65 & ilf_type(B,set_type) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- type_nonempty(line(relat_1 - axiom267,1917641))
% 1.54/1.65 fof(p14,axiom,
% 1.54/1.65 ? [B] : ilf_type(B,binary_relation_type) ).
% 1.54/1.65
% 1.54/1.65 %---- line(hidden - axiom268,1832648)
% 1.54/1.65 fof(p15,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ( ilf_type(C,subset_type(B))
% 1.54/1.65 <=> ilf_type(C,member_type(power_set(B))) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- type_nonempty(line(hidden - axiom268,1832648))
% 1.54/1.65 fof(p16,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ? [C] : ilf_type(C,subset_type(B)) ) ).
% 1.54/1.65
% 1.54/1.65 %---- property(symmetry,op(=,2,predicate))
% 1.54/1.65 fof(p17,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,binary_relation_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,binary_relation_type)
% 1.54/1.65 => ( B = C
% 1.54/1.65 => C = B ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- property(reflexivity,op(=,2,predicate))
% 1.54/1.65 fof(p18,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,binary_relation_type)
% 1.54/1.65 => B = B ) ).
% 1.54/1.65
% 1.54/1.65 %---- line(tarski - df(3),1832749)
% 1.54/1.65 fof(p19,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ( subset(B,C)
% 1.54/1.65 <=> ! [D] :
% 1.54/1.65 ( ilf_type(D,set_type)
% 1.54/1.65 => ( member(D,B)
% 1.54/1.65 => member(D,C) ) ) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- property(reflexivity,op(subset,2,predicate))
% 1.54/1.65 fof(p20,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => subset(B,B) ) ).
% 1.54/1.65
% 1.54/1.65 %---- line(hidden - axiom270,1832628)
% 1.54/1.65 fof(p21,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ( empty(B)
% 1.54/1.65 <=> ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ~ member(C,B) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- line(hidden - axiom272,1832644)
% 1.54/1.65 fof(p22,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ( member(B,power_set(C))
% 1.54/1.65 <=> ! [D] :
% 1.54/1.65 ( ilf_type(D,set_type)
% 1.54/1.65 => ( member(D,B)
% 1.54/1.65 => member(D,C) ) ) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- declaration(line(hidden - axiom272,1832644))
% 1.54/1.65 fof(p23,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ( ~ empty(power_set(B))
% 1.54/1.65 & ilf_type(power_set(B),set_type) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- line(hidden - axiom273,1832640)
% 1.54/1.65 fof(p24,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ( ~ empty(C)
% 1.54/1.65 & ilf_type(C,set_type) )
% 1.54/1.65 => ( ilf_type(B,member_type(C))
% 1.54/1.65 <=> member(B,C) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- type_nonempty(line(hidden - axiom273,1832640))
% 1.54/1.65 fof(p25,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ( ~ empty(B)
% 1.54/1.65 & ilf_type(B,set_type) )
% 1.54/1.65 => ? [C] : ilf_type(C,member_type(B)) ) ).
% 1.54/1.65
% 1.54/1.65 %---- line(relat_1 - df(1),1917627)
% 1.54/1.65 fof(p26,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ( relation_like(B)
% 1.54/1.65 <=> ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ( member(C,B)
% 1.54/1.65 => ? [D] :
% 1.54/1.65 ( ilf_type(D,set_type)
% 1.54/1.65 & ? [E] :
% 1.54/1.65 ( ilf_type(E,set_type)
% 1.54/1.65 & C = ordered_pair(D,E) ) ) ) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- conditional_cluster(axiom274,relation_like)
% 1.54/1.65 fof(p27,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ( empty(B)
% 1.54/1.65 & ilf_type(B,set_type) )
% 1.54/1.65 => relation_like(B) ) ).
% 1.54/1.65
% 1.54/1.65 %---- conditional_cluster(axiom275,relation_like)
% 1.54/1.65 fof(p28,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ! [D] :
% 1.54/1.65 ( ilf_type(D,subset_type(cross_product(B,C)))
% 1.54/1.65 => relation_like(D) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- line(relset_1 - axiom279,1916330)
% 1.54/1.65 fof(p29,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ! [D] :
% 1.54/1.65 ( ilf_type(D,relation_type(B,C))
% 1.54/1.65 => domain(B,C,D) = domain_of(D) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- declaration(line(relset_1 - axiom279,1916330))
% 1.54/1.65 fof(p30,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ! [D] :
% 1.54/1.65 ( ilf_type(D,relation_type(B,C))
% 1.54/1.65 => ilf_type(domain(B,C,D),subset_type(B)) ) ) ) ).
% 1.54/1.65
% 1.54/1.65 %---- line(relset_1 - axiom280,1916334)
% 1.54/1.65 fof(p31,axiom,
% 1.54/1.65 ! [B] :
% 1.54/1.65 ( ilf_type(B,set_type)
% 1.54/1.65 => ! [C] :
% 1.54/1.65 ( ilf_type(C,set_type)
% 1.54/1.65 => ! [D] :
% 1.54/1.65 ( ilf_type(D,relation_type(B,C))
% 1.54/1.65 => range(B,C,D) = range_of(D) ) ) ) ).
% 1.59/1.65
% 1.59/1.65 %---- declaration(line(relset_1 - axiom280,1916334))
% 1.59/1.65 fof(p32,axiom,
% 1.59/1.65 ! [B] :
% 1.59/1.65 ( ilf_type(B,set_type)
% 1.59/1.65 => ! [C] :
% 1.59/1.65 ( ilf_type(C,set_type)
% 1.59/1.65 => ! [D] :
% 1.59/1.65 ( ilf_type(D,relation_type(B,C))
% 1.59/1.65 => ilf_type(range(B,C,D),subset_type(C)) ) ) ) ).
% 1.59/1.65
% 1.59/1.65 %---- declaration(set)
% 1.59/1.65 fof(p33,axiom,
% 1.59/1.65 ! [B] : ilf_type(B,set_type) ).
% 1.59/1.65
% 1.59/1.65 %---- line(relset_1 - th(27),1916521)
% 1.59/1.65 fof(prove_relset_1_27,conjecture,
% 1.59/1.65 ! [B] :
% 1.59/1.65 ( ilf_type(B,set_type)
% 1.59/1.65 => ! [C] :
% 1.59/1.65 ( ilf_type(C,set_type)
% 1.59/1.65 => ! [D] :
% 1.59/1.65 ( ilf_type(D,relation_type(C,B))
% 1.59/1.65 => ( ilf_type(D,relation_type(C,empty_set))
% 1.59/1.65 => D = empty_set ) ) ) ) ).
% 1.59/1.65
% 1.59/1.65 %--------------------------------------------------------------------------
% 1.59/1.65 %-------------------------------------------
% 1.59/1.65 % Proof found
% 1.59/1.65 % SZS status Theorem for theBenchmark
% 1.59/1.65 % SZS output start Proof
% 1.59/1.65 %ClaNum:108(EqnAxiom:48)
% 1.59/1.65 %VarNum:241(SingletonVarNum:76)
% 1.59/1.65 %MaxLitNum:6
% 1.59/1.65 %MaxfuncDepth:2
% 1.59/1.65 %SharedTerms:17
% 1.59/1.65 %goalClause: 55 56 57
% 1.59/1.65 %singleGoalClaCount:3
% 1.59/1.65 [49]P1(a1)
% 1.59/1.65 [50]P2(a6,a2)
% 1.59/1.65 [53]P3(a1,a16)
% 1.59/1.65 [57]~E(a12,a1)
% 1.59/1.65 [55]P2(a12,f17(a11,a1))
% 1.59/1.65 [56]P2(a12,f17(a11,a7))
% 1.59/1.65 [54]P2(x541,a16)
% 1.59/1.65 [61]P6(x611,x611)+~P2(x611,a16)
% 1.59/1.65 [67]~P5(x671,a1)+~P2(x671,a16)
% 1.59/1.65 [62]~P2(x621,a16)+~P1(f19(x621))
% 1.59/1.65 [74]~P2(x741,a16)+P2(f21(x741),f28(x741))
% 1.59/1.65 [60]~P1(x601)+P4(x601)+~P2(x601,a16)
% 1.59/1.65 [66]~P4(x661)+~P2(x661,a16)+P2(x661,a2)
% 1.59/1.65 [68]~P2(x681,a16)+~P6(x681,a1)+E(x681,a1)
% 1.59/1.65 [71]P4(x711)+~P2(x711,a16)+~P2(x711,a2)
% 1.59/1.65 [58]~P2(x581,a2)+E(x581,a1)+~E(f3(x581),a1)
% 1.59/1.65 [59]~P2(x591,a2)+E(x591,a1)+~E(f18(x591),a1)
% 1.59/1.65 [72]P1(x721)+P5(f20(x721),x721)+~P2(x721,a16)
% 1.59/1.65 [73]P4(x731)+P5(f8(x731),x731)+~P2(x731,a16)
% 1.59/1.65 [75]P1(x751)+P2(f23(x751),f25(x751))+~P2(x751,a16)
% 1.59/1.65 [89]~P2(x892,a16)+~P2(x891,a16)+P2(f14(x891,x892),f17(x892,x891))
% 1.59/1.65 [76]~P1(x761)+~P5(x762,x761)+~P2(x762,a16)+~P2(x761,a16)
% 1.59/1.65 [85]P6(x851,x852)+P5(f22(x851,x852),x851)+~P2(x852,a16)+~P2(x851,a16)
% 1.59/1.65 [87]P5(f24(x871,x872),x871)+~P2(x872,a16)+~P2(x871,a16)+P5(x871,f19(x872))
% 1.59/1.65 [93]P6(x931,x932)+~P2(x932,a16)+~P2(x931,a16)+~P5(f22(x931,x932),x932)
% 1.59/1.65 [95]~P2(x952,a16)+~P2(x951,a16)+~P5(f24(x951,x952),x952)+P5(x951,f19(x952))
% 1.59/1.65 [88]~P2(x882,a16)+~P2(x881,a16)+~P2(x881,f28(x882))+P2(x881,f25(f19(x882)))
% 1.59/1.65 [92]~P2(x922,a16)+~P2(x921,a16)+P2(x921,f28(x922))+~P2(x921,f25(f19(x922)))
% 1.59/1.65 [96]~P2(x962,a16)+~P2(x961,f17(x962,x963))+P6(f3(x961),x962)+~P2(x963,a16)
% 1.59/1.65 [97]~P2(x972,a16)+~P2(x971,f17(x973,x972))+P6(f18(x971),x972)+~P2(x973,a16)
% 1.59/1.65 [101]~P2(x1012,a16)+~P2(x1011,a16)+~P2(x1013,f17(x1011,x1012))+E(f5(x1011,x1012,x1013),f3(x1013))
% 1.59/1.65 [102]~P2(x1022,a16)+~P2(x1021,a16)+~P2(x1023,f17(x1021,x1022))+E(f27(x1021,x1022,x1023),f18(x1023))
% 1.59/1.65 [105]~P2(x1052,a16)+~P2(x1051,a16)+~P2(x1053,f17(x1051,x1052))+P2(f5(x1051,x1052,x1053),f28(x1051))
% 1.59/1.65 [106]~P2(x1062,a16)+~P2(x1061,a16)+~P2(x1063,f17(x1061,x1062))+P2(f27(x1061,x1062,x1063),f28(x1062))
% 1.59/1.65 [100]P4(x1001)+~P2(x1002,a16)+~P2(x1003,a16)+~P2(x1001,f28(f4(x1003,x1002)))
% 1.59/1.65 [103]~P2(x1033,a16)+~P2(x1032,a16)+~P2(x1031,f17(x1032,x1033))+P2(x1031,f28(f4(x1032,x1033)))
% 1.59/1.65 [104]~P2(x1043,a16)+~P2(x1042,a16)+P2(x1041,f17(x1042,x1043))+~P2(x1041,f28(f4(x1042,x1043)))
% 1.59/1.65 [81]~P5(x812,x811)+P1(x811)+~P2(x811,a16)+~P2(x812,a16)+P2(x812,f25(x811))
% 1.59/1.65 [82]P1(x821)+P5(x822,x821)+~P2(x821,a16)+~P2(x822,a16)+~P2(x822,f25(x821))
% 1.59/1.65 [99]~P4(x991)+~P5(x992,x991)+~P2(x991,a16)+~P2(x992,a16)+E(f26(f9(x991,x992),f10(x991,x992)),x992)
% 1.59/1.65 [107]E(x1071,x1072)+~P2(x1072,a2)+~P2(x1071,a2)+P5(f26(f13(x1071,x1072),f15(x1071,x1072)),x1072)+P5(f26(f13(x1071,x1072),f15(x1071,x1072)),x1071)
% 1.59/1.65 [108]E(x1081,x1082)+~P2(x1082,a2)+~P2(x1081,a2)+~P5(f26(f13(x1081,x1082),f15(x1081,x1082)),x1082)+~P5(f26(f13(x1081,x1082),f15(x1081,x1082)),x1081)
% 1.59/1.65 [84]P4(x841)+~P2(x841,a16)+~P2(x843,a16)+~P2(x842,a16)+~E(f8(x841),f26(x842,x843))
% 1.59/1.65 [94]~P5(x941,x943)+P5(x941,x942)+~P6(x943,x942)+~P2(x941,a16)+~P2(x942,a16)+~P2(x943,a16)
% 1.59/1.65 [98]P5(x981,x982)+~P5(x981,x983)+~P2(x981,a16)+~P2(x982,a16)+~P2(x983,a16)+~P5(x983,f19(x982))
% 1.59/1.65 %EqnAxiom
% 1.59/1.65 [1]E(x11,x11)
% 1.59/1.65 [2]E(x22,x21)+~E(x21,x22)
% 1.59/1.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.59/1.65 [4]~E(x41,x42)+E(f17(x41,x43),f17(x42,x43))
% 1.59/1.65 [5]~E(x51,x52)+E(f17(x53,x51),f17(x53,x52))
% 1.59/1.65 [6]~E(x61,x62)+E(f26(x61,x63),f26(x62,x63))
% 1.59/1.65 [7]~E(x71,x72)+E(f26(x73,x71),f26(x73,x72))
% 1.59/1.65 [8]~E(x81,x82)+E(f3(x81),f3(x82))
% 1.59/1.65 [9]~E(x91,x92)+E(f18(x91),f18(x92))
% 1.59/1.65 [10]~E(x101,x102)+E(f19(x101),f19(x102))
% 1.59/1.65 [11]~E(x111,x112)+E(f28(x111),f28(x112))
% 1.59/1.65 [12]~E(x121,x122)+E(f4(x121,x123),f4(x122,x123))
% 1.59/1.65 [13]~E(x131,x132)+E(f4(x133,x131),f4(x133,x132))
% 1.59/1.65 [14]~E(x141,x142)+E(f5(x141,x143,x144),f5(x142,x143,x144))
% 1.59/1.65 [15]~E(x151,x152)+E(f5(x153,x151,x154),f5(x153,x152,x154))
% 1.59/1.65 [16]~E(x161,x162)+E(f5(x163,x164,x161),f5(x163,x164,x162))
% 1.59/1.65 [17]~E(x171,x172)+E(f20(x171),f20(x172))
% 1.59/1.65 [18]~E(x181,x182)+E(f8(x181),f8(x182))
% 1.59/1.65 [19]~E(x191,x192)+E(f24(x191,x193),f24(x192,x193))
% 1.59/1.65 [20]~E(x201,x202)+E(f24(x203,x201),f24(x203,x202))
% 1.59/1.65 [21]~E(x211,x212)+E(f15(x211,x213),f15(x212,x213))
% 1.59/1.65 [22]~E(x221,x222)+E(f15(x223,x221),f15(x223,x222))
% 1.59/1.65 [23]~E(x231,x232)+E(f21(x231),f21(x232))
% 1.59/1.65 [24]~E(x241,x242)+E(f9(x241,x243),f9(x242,x243))
% 1.59/1.65 [25]~E(x251,x252)+E(f9(x253,x251),f9(x253,x252))
% 1.59/1.65 [26]~E(x261,x262)+E(f23(x261),f23(x262))
% 1.59/1.65 [27]~E(x271,x272)+E(f25(x271),f25(x272))
% 1.59/1.65 [28]~E(x281,x282)+E(f10(x281,x283),f10(x282,x283))
% 1.59/1.65 [29]~E(x291,x292)+E(f10(x293,x291),f10(x293,x292))
% 1.59/1.65 [30]~E(x301,x302)+E(f13(x301,x303),f13(x302,x303))
% 1.59/1.65 [31]~E(x311,x312)+E(f13(x313,x311),f13(x313,x312))
% 1.59/1.65 [32]~E(x321,x322)+E(f27(x321,x323,x324),f27(x322,x323,x324))
% 1.59/1.65 [33]~E(x331,x332)+E(f27(x333,x331,x334),f27(x333,x332,x334))
% 1.59/1.65 [34]~E(x341,x342)+E(f27(x343,x344,x341),f27(x343,x344,x342))
% 1.59/1.65 [35]~E(x351,x352)+E(f14(x351,x353),f14(x352,x353))
% 1.59/1.65 [36]~E(x361,x362)+E(f14(x363,x361),f14(x363,x362))
% 1.59/1.65 [37]~E(x371,x372)+E(f22(x371,x373),f22(x372,x373))
% 1.59/1.65 [38]~E(x381,x382)+E(f22(x383,x381),f22(x383,x382))
% 1.59/1.65 [39]~P1(x391)+P1(x392)+~E(x391,x392)
% 1.59/1.65 [40]P2(x402,x403)+~E(x401,x402)+~P2(x401,x403)
% 1.59/1.65 [41]P2(x413,x412)+~E(x411,x412)+~P2(x413,x411)
% 1.59/1.65 [42]~P4(x421)+P4(x422)+~E(x421,x422)
% 1.59/1.65 [43]P5(x432,x433)+~E(x431,x432)+~P5(x431,x433)
% 1.59/1.65 [44]P5(x443,x442)+~E(x441,x442)+~P5(x443,x441)
% 1.59/1.65 [45]P3(x452,x453)+~E(x451,x452)+~P3(x451,x453)
% 1.59/1.65 [46]P3(x463,x462)+~E(x461,x462)+~P3(x463,x461)
% 1.59/1.65 [47]P6(x472,x473)+~E(x471,x472)+~P6(x471,x473)
% 1.59/1.65 [48]P6(x483,x482)+~E(x481,x482)+~P6(x483,x481)
% 1.59/1.65
% 1.59/1.65 %-------------------------------------------
% 1.59/1.66 cnf(109,plain,
% 1.59/1.66 (~P5(x1091,a1)),
% 1.59/1.66 inference(scs_inference,[],[54,67])).
% 1.59/1.66 cnf(110,plain,
% 1.59/1.66 (P6(x1101,x1101)),
% 1.59/1.66 inference(scs_inference,[],[54,67,61])).
% 1.59/1.66 cnf(111,plain,
% 1.59/1.66 (P4(a6)),
% 1.59/1.66 inference(scs_inference,[],[54,50,67,61,71])).
% 1.59/1.66 cnf(112,plain,
% 1.59/1.66 (P2(x1121,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(114,plain,
% 1.59/1.66 (P4(a1)),
% 1.59/1.66 inference(scs_inference,[],[54,112,49,50,67,61,71,60])).
% 1.59/1.66 cnf(115,plain,
% 1.59/1.66 (P2(x1151,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(118,plain,
% 1.59/1.66 (~P1(f19(x1181))),
% 1.59/1.66 inference(scs_inference,[],[54,112,115,57,49,50,67,61,71,60,2,62])).
% 1.59/1.66 cnf(120,plain,
% 1.59/1.66 (P2(f21(x1201),f28(x1201))),
% 1.59/1.66 inference(scs_inference,[],[54,112,115,57,49,50,67,61,71,60,2,62,74])).
% 1.59/1.66 cnf(122,plain,
% 1.59/1.66 (~P5(a6,x1221)+~E(x1221,a1)),
% 1.59/1.66 inference(scs_inference,[],[54,112,115,57,49,50,67,61,71,60,2,62,74,44])).
% 1.59/1.66 cnf(123,plain,
% 1.59/1.66 (~E(a1,f19(x1231))),
% 1.59/1.66 inference(scs_inference,[],[54,112,115,57,49,50,67,61,71,60,2,62,74,44,39])).
% 1.59/1.66 cnf(124,plain,
% 1.59/1.66 (~P6(a12,a1)),
% 1.59/1.66 inference(scs_inference,[],[54,112,115,57,49,50,67,61,71,60,2,62,74,44,39,68])).
% 1.59/1.66 cnf(169,plain,
% 1.59/1.66 (P5(a1,f19(a1))),
% 1.59/1.66 inference(scs_inference,[],[54,109,87])).
% 1.59/1.66 cnf(170,plain,
% 1.59/1.66 (~P5(x1701,a1)),
% 1.59/1.66 inference(rename_variables,[],[109])).
% 1.59/1.66 cnf(171,plain,
% 1.59/1.66 (P2(x1711,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(172,plain,
% 1.59/1.66 (P2(x1721,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(175,plain,
% 1.59/1.66 (P2(f21(x1751),f28(x1751))),
% 1.59/1.66 inference(rename_variables,[],[120])).
% 1.59/1.66 cnf(177,plain,
% 1.59/1.66 (P2(f5(a11,a1,a12),f28(a11))),
% 1.59/1.66 inference(scs_inference,[],[55,54,172,171,120,109,87,104,105])).
% 1.59/1.66 cnf(178,plain,
% 1.59/1.66 (P2(x1781,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(179,plain,
% 1.59/1.66 (P2(x1791,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(182,plain,
% 1.59/1.66 (P2(x1821,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(184,plain,
% 1.59/1.66 (P6(f18(a12),a1)),
% 1.59/1.66 inference(scs_inference,[],[55,54,172,178,182,171,179,120,118,109,87,104,105,72,97])).
% 1.59/1.66 cnf(185,plain,
% 1.59/1.66 (P2(x1851,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(186,plain,
% 1.59/1.66 (P2(x1861,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(188,plain,
% 1.59/1.66 (P2(f21(x1881),f25(f19(x1881)))),
% 1.59/1.66 inference(scs_inference,[],[55,54,172,178,182,185,171,179,186,120,175,118,109,87,104,105,72,97,88])).
% 1.59/1.66 cnf(189,plain,
% 1.59/1.66 (P2(x1891,a16)),
% 1.59/1.66 inference(rename_variables,[],[54])).
% 1.59/1.66 cnf(192,plain,
% 1.59/1.66 (E(f27(a11,a1,a12),f18(a12))),
% 1.62/1.66 inference(scs_inference,[],[55,54,172,178,182,185,189,171,179,186,120,175,118,109,87,104,105,72,97,88,102])).
% 1.62/1.66 cnf(193,plain,
% 1.62/1.66 (P2(x1931,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(194,plain,
% 1.62/1.66 (P2(x1941,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(196,plain,
% 1.62/1.66 (E(f5(a11,a1,a12),f3(a12))),
% 1.62/1.66 inference(scs_inference,[],[55,54,172,178,182,185,189,194,171,179,186,193,120,175,118,109,87,104,105,72,97,88,102,101])).
% 1.62/1.66 cnf(197,plain,
% 1.62/1.66 (P2(x1971,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(198,plain,
% 1.62/1.66 (P2(x1981,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(200,plain,
% 1.62/1.66 (P2(f27(a11,a1,a12),f28(a1))),
% 1.62/1.66 inference(scs_inference,[],[55,54,172,178,182,185,189,194,198,171,179,186,193,197,120,175,118,109,87,104,105,72,97,88,102,101,106])).
% 1.62/1.66 cnf(201,plain,
% 1.62/1.66 (P2(x2011,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(202,plain,
% 1.62/1.66 (P2(x2021,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(204,plain,
% 1.62/1.66 (P2(f14(x2041,x2041),f17(x2041,x2041))),
% 1.62/1.66 inference(scs_inference,[],[55,54,172,178,182,185,189,194,198,202,171,179,186,193,197,120,175,118,109,87,104,105,72,97,88,102,101,106,89])).
% 1.62/1.66 cnf(206,plain,
% 1.62/1.66 (P2(f23(f19(x2061)),f25(f19(x2061)))),
% 1.62/1.66 inference(scs_inference,[],[55,54,172,178,182,185,189,194,198,202,171,179,186,193,197,120,175,118,109,87,104,105,72,97,88,102,101,106,89,75])).
% 1.62/1.66 cnf(208,plain,
% 1.62/1.66 (E(f18(a12),f27(a11,a1,a12))),
% 1.62/1.66 inference(scs_inference,[],[55,54,172,178,182,185,189,194,198,202,171,179,186,193,197,120,175,118,109,87,104,105,72,97,88,102,101,106,89,75,2])).
% 1.62/1.66 cnf(211,plain,
% 1.62/1.66 (P2(x2111,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(212,plain,
% 1.62/1.66 (P2(x2121,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(215,plain,
% 1.62/1.66 (P5(f21(a11),f19(a11))),
% 1.62/1.66 inference(scs_inference,[],[55,54,172,178,182,185,189,194,198,202,212,171,179,186,193,197,201,211,120,175,118,109,170,111,87,104,105,72,97,88,102,101,106,89,75,2,42,85,82])).
% 1.62/1.66 cnf(277,plain,
% 1.62/1.66 (P4(f21(f4(x2771,x2771)))),
% 1.62/1.66 inference(scs_inference,[],[54,192,200,120,40,100])).
% 1.62/1.66 cnf(280,plain,
% 1.62/1.66 (E(f18(a12),a1)),
% 1.62/1.66 inference(scs_inference,[],[54,184,192,200,120,40,100,68])).
% 1.62/1.66 cnf(281,plain,
% 1.62/1.66 (P2(x2811,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(283,plain,
% 1.62/1.66 (~E(f18(a12),a12)),
% 1.62/1.66 inference(scs_inference,[],[54,184,192,200,124,120,40,100,68,47])).
% 1.62/1.66 cnf(285,plain,
% 1.62/1.66 (~P5(x2851,f18(a12))),
% 1.62/1.66 inference(scs_inference,[],[109,57,54,184,192,200,124,120,40,100,68,47,3,44])).
% 1.62/1.66 cnf(286,plain,
% 1.62/1.66 (~E(f19(x2861),a1)),
% 1.62/1.66 inference(scs_inference,[],[109,57,54,184,192,200,123,124,120,40,100,68,47,3,44,2])).
% 1.62/1.66 cnf(292,plain,
% 1.62/1.66 (~P1(f27(a11,a1,a12))+~P5(f27(a11,a1,a12),f27(a11,a1,a12))+~E(f8(f27(a11,a1,a12)),f26(f27(a11,a1,a12),f27(a11,a1,a12)))),
% 1.62/1.66 inference(scs_inference,[],[109,57,54,281,184,192,200,123,124,120,40,100,68,47,3,44,2,84,42,59,76])).
% 1.62/1.66 cnf(334,plain,
% 1.62/1.66 (P2(x3341,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(336,plain,
% 1.62/1.66 (P1(f27(a11,a1,a12))),
% 1.62/1.66 inference(scs_inference,[],[54,285,208,72,39])).
% 1.62/1.66 cnf(337,plain,
% 1.62/1.66 (~E(f19(x3371),f18(a12))),
% 1.62/1.66 inference(scs_inference,[],[54,285,286,280,208,72,39,3])).
% 1.62/1.66 cnf(338,plain,
% 1.62/1.66 (E(a1,f18(a12))),
% 1.62/1.66 inference(scs_inference,[],[54,285,286,280,208,72,39,3,2])).
% 1.62/1.66 cnf(343,plain,
% 1.62/1.66 (~P2(x3431,f17(x3432,x3433))+~P2(x3433,a16)+P6(f3(x3431),x3432)+~P2(x3432,a16)),
% 1.62/1.66 inference(rename_variables,[],[96])).
% 1.62/1.66 cnf(344,plain,
% 1.62/1.66 (E(a1,a6)+~E(f8(f27(a11,a1,a12)),f26(f27(a11,a1,a12),f27(a11,a1,a12)))+~P2(a1,a2)+P5(f26(f13(a1,a6),f15(a1,a6)),a6)),
% 1.62/1.66 inference(scs_inference,[],[109,50,54,334,204,285,286,280,208,72,39,3,2,292,43,96,107])).
% 1.62/1.66 cnf(345,plain,
% 1.62/1.66 (~P5(x3451,a1)),
% 1.62/1.66 inference(rename_variables,[],[109])).
% 1.62/1.66 cnf(348,plain,
% 1.62/1.66 (P2(x3481,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(352,plain,
% 1.62/1.66 (P2(x3521,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(355,plain,
% 1.62/1.66 (P2(x3551,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(358,plain,
% 1.62/1.66 (P2(x3581,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(360,plain,
% 1.62/1.66 (~E(f8(f27(a11,a1,a12)),f26(f27(a11,a1,a12),f27(a11,a1,a12)))+P2(f5(a11,a7,a12),f28(a11))+~P2(a7,a16)),
% 1.62/1.66 inference(scs_inference,[],[56,109,345,50,54,334,348,352,355,358,204,169,285,177,286,280,208,72,39,3,2,292,43,96,107,98,343,88,106,105])).
% 1.62/1.66 cnf(388,plain,
% 1.62/1.66 (~P5(x3881,f18(a12))),
% 1.62/1.66 inference(rename_variables,[],[285])).
% 1.62/1.66 cnf(389,plain,
% 1.62/1.66 (P2(x3891,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(391,plain,
% 1.62/1.66 (P5(f18(a12),f19(a1))),
% 1.62/1.66 inference(scs_inference,[],[54,338,169,285,73,43])).
% 1.62/1.66 cnf(392,plain,
% 1.62/1.66 (~P6(f19(x3921),a1)),
% 1.62/1.66 inference(scs_inference,[],[54,389,338,169,285,286,73,43,68])).
% 1.62/1.66 cnf(393,plain,
% 1.62/1.66 (P2(x3931,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(396,plain,
% 1.62/1.66 (~E(f27(a11,a1,a12),f19(x3961))),
% 1.62/1.66 inference(scs_inference,[],[54,389,336,338,169,285,286,124,280,118,73,43,68,48,39])).
% 1.62/1.66 cnf(397,plain,
% 1.62/1.66 (E(f27(a11,a1,a12),a1)),
% 1.62/1.66 inference(scs_inference,[],[54,389,336,338,169,285,286,192,124,280,118,73,43,68,48,39,3])).
% 1.62/1.66 cnf(401,plain,
% 1.62/1.66 (P2(x4011,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(405,plain,
% 1.62/1.66 (~P5(x4051,f27(a11,a1,a12))),
% 1.62/1.66 inference(scs_inference,[],[54,389,393,401,336,337,338,196,169,285,388,177,286,192,124,280,118,73,43,68,48,39,3,2,122,360,60,40,44])).
% 1.62/1.66 cnf(412,plain,
% 1.62/1.66 (E(a6,a1)+~P2(a1,a16)+P5(f26(f13(a6,a1),f15(a6,a1)),a6)),
% 1.62/1.66 inference(scs_inference,[],[109,50,54,389,393,401,336,337,338,114,196,169,285,388,177,286,192,124,280,118,73,43,68,48,39,3,2,122,360,60,40,44,107,41,59,66])).
% 1.62/1.66 cnf(424,plain,
% 1.62/1.66 (P5(f27(a11,a1,a12),f19(a1))),
% 1.62/1.66 inference(scs_inference,[],[391,208,43])).
% 1.62/1.66 cnf(425,plain,
% 1.62/1.66 (~P2(a12,a2)),
% 1.62/1.66 inference(scs_inference,[],[57,391,208,280,43,59])).
% 1.62/1.66 cnf(428,plain,
% 1.62/1.66 (P2(x4281,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(434,plain,
% 1.62/1.66 (E(a1,f27(a11,a1,a12))),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,277,391,397,208,280,43,59,66,40,48,3,2])).
% 1.62/1.66 cnf(439,plain,
% 1.62/1.66 (E(f21(f27(a11,a1,a12)),f21(a1))),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,277,391,397,208,280,43,59,66,40,48,3,2,95,27,26,23])).
% 1.62/1.66 cnf(440,plain,
% 1.62/1.66 (E(f28(f27(a11,a1,a12)),f28(a1))),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,277,391,397,208,280,43,59,66,40,48,3,2,95,27,26,23,11])).
% 1.62/1.66 cnf(443,plain,
% 1.62/1.66 (E(f14(x4431,f27(a11,a1,a12)),f14(x4431,a1))),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,277,391,397,208,280,43,59,66,40,48,3,2,95,27,26,23,11,9,38,36])).
% 1.62/1.66 cnf(444,plain,
% 1.62/1.66 (E(f14(f27(a11,a1,a12),x4441),f14(a1,x4441))),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,277,391,397,208,280,43,59,66,40,48,3,2,95,27,26,23,11,9,38,36,35])).
% 1.62/1.66 cnf(445,plain,
% 1.62/1.66 (E(f27(x4451,x4452,f27(a11,a1,a12)),f27(x4451,x4452,a1))),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,277,391,397,208,280,43,59,66,40,48,3,2,95,27,26,23,11,9,38,36,35,34])).
% 1.62/1.66 cnf(446,plain,
% 1.62/1.66 (E(f27(f27(a11,a1,a12),x4461,x4462),f27(a1,x4461,x4462))),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,277,391,397,208,280,43,59,66,40,48,3,2,95,27,26,23,11,9,38,36,35,34,32])).
% 1.62/1.66 cnf(452,plain,
% 1.62/1.66 (E(f5(x4521,f27(a11,a1,a12),x4522),f5(x4521,a1,x4522))),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,277,391,397,208,280,43,59,66,40,48,3,2,95,27,26,23,11,9,38,36,35,34,32,31,30,25,24,22,15])).
% 1.62/1.66 cnf(455,plain,
% 1.62/1.66 (P2(f21(f27(a11,a1,a12)),f28(a1))),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,277,391,397,120,208,280,43,59,66,40,48,3,2,95,27,26,23,11,9,38,36,35,34,32,31,30,25,24,22,15,13,12,41])).
% 1.62/1.66 cnf(460,plain,
% 1.62/1.66 (P2(x4601,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(462,plain,
% 1.62/1.66 (P2(x4621,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(483,plain,
% 1.62/1.66 (E(a6,a1)+P5(f20(a6),a6)+~P2(f26(f13(a6,a1),f15(a6,a1)),a16)),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,460,462,277,405,215,391,397,286,120,208,280,43,59,66,40,48,3,2,95,27,26,23,11,9,38,36,35,34,32,31,30,25,24,22,15,13,12,41,44,412,76,58,18,17,10,8,37,33,29,28,21,20,19,16,14,7,6,5,4,72])).
% 1.62/1.66 cnf(484,plain,
% 1.62/1.66 (P2(x4841,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(486,plain,
% 1.62/1.66 (E(a6,a1)+~P2(a1,a16)+P5(f22(f19(x4861),a1),f19(x4861))+~P2(f26(f13(a6,a1),f15(a6,a1)),a16)),
% 1.62/1.66 inference(scs_inference,[],[57,110,50,54,428,460,462,484,277,405,215,391,392,397,286,120,208,280,43,59,66,40,48,3,2,95,27,26,23,11,9,38,36,35,34,32,31,30,25,24,22,15,13,12,41,44,412,76,58,18,17,10,8,37,33,29,28,21,20,19,16,14,7,6,5,4,72,85])).
% 1.62/1.66 cnf(490,plain,
% 1.62/1.66 (~P4(a12)),
% 1.62/1.66 inference(scs_inference,[],[54,425,66])).
% 1.62/1.66 cnf(491,plain,
% 1.62/1.66 (P2(x4911,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(493,plain,
% 1.62/1.66 (~E(a16,a2)),
% 1.62/1.66 inference(scs_inference,[],[54,491,425,66,41])).
% 1.62/1.66 cnf(494,plain,
% 1.62/1.66 (P2(x4941,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(499,plain,
% 1.62/1.66 (P2(x4991,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(500,plain,
% 1.62/1.66 (P5(f8(a12),a12)),
% 1.62/1.66 inference(scs_inference,[],[54,491,494,499,396,425,283,434,184,208,66,41,48,3,2,483,73])).
% 1.62/1.66 cnf(501,plain,
% 1.62/1.66 (P2(x5011,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(504,plain,
% 1.62/1.66 (P2(x5041,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(505,plain,
% 1.62/1.66 (P2(x5051,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(506,plain,
% 1.62/1.66 (P2(x5061,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(508,plain,
% 1.62/1.66 (P5(f21(x5081),f19(x5081))),
% 1.62/1.66 inference(scs_inference,[],[54,491,494,499,501,506,505,396,425,283,434,188,184,208,118,66,41,48,3,2,483,73,84,82])).
% 1.62/1.66 cnf(509,plain,
% 1.62/1.66 (P2(x5091,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(510,plain,
% 1.62/1.66 (P2(x5101,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(513,plain,
% 1.62/1.66 (~P5(f19(a1),f19(a1))),
% 1.62/1.66 inference(scs_inference,[],[109,54,491,494,499,501,506,510,505,509,504,396,425,283,424,434,188,184,208,118,66,41,48,3,2,483,73,84,82,98])).
% 1.62/1.66 cnf(514,plain,
% 1.62/1.66 (P2(x5141,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(515,plain,
% 1.62/1.66 (~P5(x5151,a1)),
% 1.62/1.66 inference(rename_variables,[],[109])).
% 1.62/1.66 cnf(516,plain,
% 1.62/1.66 (P2(x5161,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(517,plain,
% 1.62/1.66 (P2(x5171,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(519,plain,
% 1.62/1.66 (~P2(a12,f28(f4(x5191,x5191)))),
% 1.62/1.66 inference(scs_inference,[],[109,54,491,494,499,501,506,510,514,505,509,504,396,425,283,424,434,188,184,208,118,66,41,48,3,2,483,73,84,82,98,100])).
% 1.62/1.66 cnf(521,plain,
% 1.62/1.66 (~P2(a12,f17(x5211,x5211))),
% 1.62/1.66 inference(scs_inference,[],[109,54,491,494,499,501,506,510,514,505,509,504,396,425,283,424,434,188,184,208,118,66,41,48,3,2,483,73,84,82,98,100,103])).
% 1.62/1.66 cnf(523,plain,
% 1.62/1.66 (P2(f21(f27(a11,a1,a12)),f25(f19(a1)))),
% 1.62/1.66 inference(scs_inference,[],[109,54,491,494,499,501,506,510,514,505,509,516,504,396,425,283,424,455,434,188,184,208,118,66,41,48,3,2,483,73,84,82,98,100,103,88])).
% 1.62/1.66 cnf(524,plain,
% 1.62/1.66 (P2(x5241,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(525,plain,
% 1.62/1.66 (P2(x5251,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(527,plain,
% 1.62/1.66 (~P1(a12)),
% 1.62/1.66 inference(scs_inference,[],[109,54,491,494,499,501,506,510,514,525,505,509,516,504,396,425,283,424,455,434,188,184,208,118,66,41,48,3,2,483,73,84,82,98,100,103,88,60])).
% 1.62/1.66 cnf(528,plain,
% 1.62/1.66 (P2(x5281,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(530,plain,
% 1.62/1.66 (P5(f24(f19(a1),a1),f19(a1))),
% 1.62/1.66 inference(scs_inference,[],[109,54,491,494,499,501,506,510,514,525,528,505,509,516,524,504,396,425,283,424,455,434,188,184,208,118,66,41,48,3,2,483,73,84,82,98,100,103,88,60,87])).
% 1.62/1.66 cnf(531,plain,
% 1.62/1.66 (P2(x5311,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(532,plain,
% 1.62/1.66 (P2(x5321,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(534,plain,
% 1.62/1.66 (P3(f27(a11,a1,a12),a16)),
% 1.62/1.66 inference(scs_inference,[],[53,109,54,491,494,499,501,506,510,514,525,528,505,509,516,524,504,396,425,283,424,455,434,188,184,208,118,66,41,48,3,2,483,73,84,82,98,100,103,88,60,87,45])).
% 1.62/1.66 cnf(536,plain,
% 1.62/1.66 (P2(f14(x5361,x5362),f17(x5362,x5361))),
% 1.62/1.66 inference(scs_inference,[],[53,109,54,491,494,499,501,506,510,514,525,528,531,505,509,516,524,532,504,396,425,283,424,455,434,188,277,184,208,118,66,41,48,3,2,483,73,84,82,98,100,103,88,60,87,45,42,89])).
% 1.62/1.66 cnf(538,plain,
% 1.62/1.66 (P2(f27(x5381,x5381,f14(x5381,x5381)),f28(x5381))),
% 1.62/1.66 inference(scs_inference,[],[53,109,54,491,494,499,501,506,510,514,525,528,531,505,509,516,524,532,504,396,425,283,424,455,434,188,204,277,184,208,118,66,41,48,3,2,483,73,84,82,98,100,103,88,60,87,45,42,89,106])).
% 1.62/1.66 cnf(543,plain,
% 1.62/1.66 (P6(a1,f27(a11,a1,a12))),
% 1.62/1.66 inference(scs_inference,[],[53,109,515,54,491,494,499,501,506,510,514,525,528,531,505,509,516,524,532,504,517,396,425,283,424,455,434,188,204,277,184,208,118,66,41,48,3,2,483,73,84,82,98,100,103,88,60,87,45,42,89,106,81,85])).
% 1.62/1.66 cnf(544,plain,
% 1.62/1.66 (P2(x5441,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(546,plain,
% 1.62/1.66 (P2(x5461,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(550,plain,
% 1.62/1.66 (P2(f5(a11,a7,a12),f28(a11))),
% 1.62/1.66 inference(scs_inference,[],[53,109,515,54,491,494,499,501,506,510,514,525,528,531,505,509,516,524,532,544,504,517,546,396,425,283,424,455,434,188,204,277,184,208,118,56,66,41,48,3,2,483,73,84,82,98,100,103,88,60,87,45,42,89,106,81,85,108,105])).
% 1.62/1.66 cnf(551,plain,
% 1.62/1.66 (P2(x5511,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(552,plain,
% 1.62/1.66 (P2(x5521,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(556,plain,
% 1.62/1.66 (P6(f18(a12),a7)),
% 1.62/1.66 inference(scs_inference,[],[53,109,515,50,54,491,494,499,501,506,510,514,525,528,531,505,509,516,524,532,544,551,504,517,546,552,396,425,283,424,455,434,188,204,277,184,208,118,56,66,41,48,3,2,483,73,84,82,98,100,103,88,60,87,45,42,89,106,81,85,108,105,58,97])).
% 1.62/1.66 cnf(560,plain,
% 1.62/1.66 (P6(f27(x5601,x5602,a1),f27(x5601,x5602,f27(a11,a1,a12)))),
% 1.62/1.66 inference(scs_inference,[],[53,110,109,515,50,54,491,494,499,501,506,510,514,525,528,531,505,509,516,524,532,544,551,504,517,546,552,396,425,283,445,424,455,434,188,204,277,184,208,118,56,66,41,48,3,2,483,73,84,82,98,100,103,88,60,87,45,42,89,106,81,85,108,105,58,97,47])).
% 1.62/1.66 cnf(567,plain,
% 1.62/1.66 (E(a6,a1)+~P2(f26(f13(a6,a1),f15(a6,a1)),a16)+P5(f22(f19(x5671),a1),f19(x5671))),
% 1.62/1.66 inference(scs_inference,[],[54,486])).
% 1.62/1.66 cnf(569,plain,
% 1.62/1.66 (P2(x5691,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(571,plain,
% 1.62/1.66 (P6(f27(a1,x5711,a1),f27(f27(a11,a1,a12),x5711,f27(a11,a1,a12)))),
% 1.62/1.66 inference(scs_inference,[],[54,560,527,446,75,47])).
% 1.62/1.66 cnf(573,plain,
% 1.62/1.66 (E(f27(f27(a11,a1,a12),x5731,x5732),f27(a1,x5731,x5732))),
% 1.62/1.66 inference(rename_variables,[],[446])).
% 1.62/1.66 cnf(574,plain,
% 1.62/1.66 (~E(f21(a1),f19(a1))),
% 1.62/1.66 inference(scs_inference,[],[54,508,513,560,527,446,75,47,43])).
% 1.62/1.66 cnf(575,plain,
% 1.62/1.66 (P5(f21(x5751),f19(x5751))),
% 1.62/1.66 inference(rename_variables,[],[508])).
% 1.62/1.66 cnf(577,plain,
% 1.62/1.66 (P2(x5771,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(578,plain,
% 1.62/1.66 (~P6(f19(x5781),f18(a12))),
% 1.62/1.66 inference(scs_inference,[],[54,569,508,513,560,519,527,446,392,280,75,47,43,41,48])).
% 1.62/1.66 cnf(580,plain,
% 1.62/1.66 (E(f27(f27(a11,a1,a12),x5801,x5802),f27(a1,x5801,x5802))),
% 1.62/1.66 inference(rename_variables,[],[446])).
% 1.62/1.66 cnf(584,plain,
% 1.62/1.66 (P2(x5841,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(585,plain,
% 1.62/1.66 (E(f27(x5851,x5851,f14(x5851,x5851)),f18(f14(x5851,x5851)))),
% 1.62/1.66 inference(scs_inference,[],[54,569,577,584,508,536,513,560,519,527,446,573,580,392,445,280,75,47,43,41,48,3,2,567,102])).
% 1.62/1.66 cnf(590,plain,
% 1.62/1.66 (P2(x5901,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(591,plain,
% 1.62/1.66 (P2(x5911,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(593,plain,
% 1.62/1.66 (~P2(f19(a1),f25(f19(a1)))),
% 1.62/1.66 inference(scs_inference,[],[111,53,54,569,577,584,591,508,536,513,560,519,527,446,573,580,392,338,445,280,118,75,47,43,41,48,3,2,567,102,45,99,82])).
% 1.62/1.66 cnf(595,plain,
% 1.62/1.66 (P2(x5951,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(597,plain,
% 1.62/1.66 (~P2(f19(a1),f28(a1))),
% 1.62/1.66 inference(scs_inference,[],[111,53,54,569,577,584,591,595,590,508,536,513,560,519,527,446,573,580,392,338,445,280,118,75,47,43,41,48,3,2,567,102,45,99,82,88])).
% 1.62/1.66 cnf(598,plain,
% 1.62/1.66 (P2(x5981,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(599,plain,
% 1.62/1.66 (P2(x5991,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(602,plain,
% 1.62/1.66 (P2(x6021,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(603,plain,
% 1.62/1.66 (P2(x6031,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(605,plain,
% 1.62/1.66 (~P5(f19(x6051),f19(a1))),
% 1.62/1.66 inference(scs_inference,[],[111,53,109,54,569,577,584,591,595,598,603,602,590,599,508,575,536,513,560,519,490,527,446,573,580,392,338,445,280,118,75,47,43,41,48,3,2,567,102,45,99,82,88,84,98])).
% 1.62/1.66 cnf(613,plain,
% 1.62/1.66 (~E(f21(f27(a11,a1,a12)),f19(a1))),
% 1.62/1.66 inference(scs_inference,[],[111,53,109,50,54,569,577,584,591,595,598,603,602,590,599,508,575,536,513,560,523,519,490,527,446,573,580,392,338,445,280,118,75,47,43,41,48,3,2,567,102,45,99,82,88,84,98,59,40])).
% 1.62/1.66 cnf(615,plain,
% 1.62/1.66 (P2(x6151,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(617,plain,
% 1.62/1.66 (P5(f21(a1),f19(f27(a11,a1,a12)))),
% 1.62/1.66 inference(scs_inference,[],[114,54,439,508,66,43])).
% 1.62/1.66 cnf(619,plain,
% 1.62/1.66 (P2(f18(f14(x6191,x6191)),f28(x6191))),
% 1.62/1.66 inference(scs_inference,[],[114,54,585,538,439,508,66,43,40])).
% 1.62/1.66 cnf(620,plain,
% 1.62/1.66 (P2(f27(x6201,x6201,f14(x6201,x6201)),f28(x6201))),
% 1.62/1.66 inference(rename_variables,[],[538])).
% 1.62/1.66 cnf(623,plain,
% 1.62/1.66 (E(f14(f27(a11,a1,a12),f27(a11,a1,a12)),f14(a1,a1))),
% 1.62/1.66 inference(scs_inference,[],[114,110,54,585,538,443,444,439,508,66,43,40,48,3])).
% 1.62/1.66 cnf(628,plain,
% 1.62/1.66 (P5(f27(a11,a1,a12),f19(f27(a11,a1,a12)))),
% 1.62/1.66 inference(scs_inference,[],[114,53,110,54,615,585,538,613,443,444,439,508,405,66,43,40,48,3,2,46,87])).
% 1.62/1.66 cnf(630,plain,
% 1.62/1.66 (P2(x6301,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(631,plain,
% 1.62/1.66 (P2(x6311,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(634,plain,
% 1.62/1.66 (P2(x6341,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(635,plain,
% 1.62/1.66 (P2(x6351,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(637,plain,
% 1.62/1.66 (~P5(a12,f19(a1))),
% 1.62/1.66 inference(scs_inference,[],[114,53,110,109,54,615,631,635,634,630,585,538,613,500,443,444,439,508,405,490,66,43,40,48,3,2,46,87,84,98])).
% 1.62/1.66 cnf(639,plain,
% 1.62/1.66 (P2(x6391,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(640,plain,
% 1.62/1.66 (P2(x6401,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(641,plain,
% 1.62/1.66 (P2(x6411,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(644,plain,
% 1.62/1.66 (P2(x6441,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(651,plain,
% 1.62/1.66 (P2(x6511,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(653,plain,
% 1.62/1.66 (P2(f27(x6531,x6531,f14(x6531,x6531)),f25(f19(x6531)))),
% 1.62/1.66 inference(scs_inference,[],[114,53,110,109,54,615,631,635,639,644,651,634,640,630,641,585,538,620,613,571,593,500,443,444,439,508,405,490,66,43,40,48,3,2,46,87,84,98,41,344,92,94,75,88])).
% 1.62/1.66 cnf(658,plain,
% 1.62/1.66 (P2(x6581,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(659,plain,
% 1.62/1.66 (P2(x6591,a16)),
% 1.62/1.66 inference(rename_variables,[],[54])).
% 1.62/1.66 cnf(662,plain,
% 1.62/1.66 (P5(f22(f19(x6621),f18(a12)),f19(x6621))),
% 1.62/1.66 inference(scs_inference,[],[114,53,110,109,54,615,631,635,639,644,651,659,634,640,658,630,641,585,538,620,613,571,578,593,500,443,444,439,508,405,527,490,66,43,40,48,3,2,46,87,84,98,41,344,92,94,75,88,82,42,85])).
% 1.62/1.66 cnf(671,plain,
% 1.62/1.66 (P5(f18(a12),f19(f27(a11,a1,a12)))),
% 1.62/1.66 inference(scs_inference,[],[54,628,536,192,101,43])).
% 1.62/1.66 cnf(672,plain,
% 1.62/1.66 (~P2(f19(a1),f28(f27(a11,a1,a12)))),
% 1.62/1.66 inference(scs_inference,[],[54,628,597,440,536,192,101,43,41])).
% 1.62/1.66 cnf(675,plain,
% 1.62/1.66 (E(f25(f5(a11,a1,a12)),f25(f3(a12)))),
% 1.62/1.66 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27])).
% 1.62/1.66 cnf(676,plain,
% 1.62/1.66 (E(f21(f5(a11,a1,a12)),f21(f3(a12)))),
% 1.62/1.66 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27,23])).
% 1.62/1.66 cnf(678,plain,
% 1.62/1.66 (E(f27(x6781,x6782,f5(a11,a1,a12)),f27(x6781,x6782,f3(a12)))),
% 1.62/1.66 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27,23,9,34])).
% 1.62/1.66 cnf(679,plain,
% 1.62/1.66 (E(f27(f5(a11,a1,a12),x6791,x6792),f27(f3(a12),x6791,x6792))),
% 1.62/1.66 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27,23,9,34,32])).
% 1.62/1.66 cnf(683,plain,
% 1.62/1.66 (E(f5(x6831,f5(a11,a1,a12),x6832),f5(x6831,f3(a12),x6832))),
% 1.62/1.66 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27,23,9,34,32,30,25,24,15])).
% 1.62/1.66 cnf(689,plain,
% 1.62/1.66 (E(f28(f5(a11,a1,a12)),f28(f3(a12)))),
% 1.62/1.66 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27,23,9,34,32,30,25,24,15,13,12,26,18,17,11])).
% 1.62/1.66 cnf(690,plain,
% 1.62/1.66 (E(f19(f5(a11,a1,a12)),f19(f3(a12)))),
% 1.62/1.66 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27,23,9,34,32,30,25,24,15,13,12,26,18,17,11,10])).
% 1.62/1.66 cnf(697,plain,
% 1.62/1.66 (E(f5(x6971,x6972,f5(a11,a1,a12)),f5(x6971,x6972,f3(a12)))),
% 1.62/1.66 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27,23,9,34,32,30,25,24,15,13,12,26,18,17,11,10,38,36,35,31,22,20,16])).
% 1.62/1.66 cnf(698,plain,
% 1.62/1.66 (E(f5(f5(a11,a1,a12),x6981,x6982),f5(f3(a12),x6981,x6982))),
% 1.62/1.66 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27,23,9,34,32,30,25,24,15,13,12,26,18,17,11,10,38,36,35,31,22,20,16,14])).
% 1.62/1.67 cnf(700,plain,
% 1.62/1.67 (E(f17(x7001,f5(a11,a1,a12)),f17(x7001,f3(a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,628,623,543,597,440,536,196,192,101,43,41,48,2,27,23,9,34,32,30,25,24,15,13,12,26,18,17,11,10,38,36,35,31,22,20,16,14,7,5])).
% 1.62/1.67 cnf(710,plain,
% 1.62/1.67 (P5(f27(x7101,x7101,f14(x7101,x7101)),f19(x7101))+~P2(f27(x7101,x7101,f14(x7101,x7101)),a16)),
% 1.62/1.67 inference(scs_inference,[],[54,653,628,623,543,597,440,536,196,192,118,101,43,41,48,2,27,23,9,34,32,30,25,24,15,13,12,26,18,17,11,10,38,36,35,31,22,20,16,14,7,5,8,37,33,29,28,21,19,6,4,82])).
% 1.62/1.67 cnf(712,plain,
% 1.62/1.67 (P2(x7121,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(716,plain,
% 1.62/1.67 (~P5(a1,f22(f19(a1),f18(a12)))+~P2(f22(f19(a1),f18(a12)),a16)),
% 1.62/1.67 inference(scs_inference,[],[109,54,712,653,628,623,662,543,597,440,536,196,286,192,118,101,43,41,48,2,27,23,9,34,32,30,25,24,15,13,12,26,18,17,11,10,38,36,35,31,22,20,16,14,7,5,8,37,33,29,28,21,19,6,4,82,58,98])).
% 1.62/1.67 cnf(724,plain,
% 1.62/1.67 (P5(f27(x7241,x7241,f14(x7241,x7241)),f19(x7241))),
% 1.62/1.67 inference(scs_inference,[],[54,710])).
% 1.62/1.67 cnf(725,plain,
% 1.62/1.67 (P2(x7251,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(727,plain,
% 1.62/1.67 (~E(f18(f14(a1,a1)),f19(a1))),
% 1.62/1.67 inference(scs_inference,[],[54,619,637,530,597,710,43,40])).
% 1.62/1.67 cnf(730,plain,
% 1.62/1.67 (P2(x7301,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(736,plain,
% 1.62/1.67 (P2(x7361,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(737,plain,
% 1.62/1.67 (P2(f14(x7371,x7371),f28(f4(x7371,x7371)))),
% 1.62/1.67 inference(scs_inference,[],[54,725,730,736,619,678,679,574,672,637,530,597,536,710,43,40,41,3,2,716,103])).
% 1.62/1.67 cnf(741,plain,
% 1.62/1.67 (P2(x7411,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(742,plain,
% 1.62/1.67 (P2(x7421,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(744,plain,
% 1.62/1.67 (P5(f24(a12,a1),a12)),
% 1.62/1.67 inference(scs_inference,[],[54,725,730,736,742,741,619,678,679,574,672,637,530,597,536,527,710,43,40,41,3,2,716,103,82,87])).
% 1.62/1.67 cnf(745,plain,
% 1.62/1.67 (P2(x7451,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(746,plain,
% 1.62/1.67 (P2(x7461,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(748,plain,
% 1.62/1.67 (~P5(f27(a11,a1,a12),f21(a1))),
% 1.62/1.67 inference(scs_inference,[],[54,725,730,736,742,746,741,745,619,678,679,574,617,672,637,530,597,536,527,405,710,43,40,41,3,2,716,103,82,87,98])).
% 1.62/1.67 cnf(762,plain,
% 1.62/1.67 (P5(f21(x7621),f19(x7621))),
% 1.62/1.67 inference(rename_variables,[],[508])).
% 1.62/1.67 cnf(763,plain,
% 1.62/1.67 (~E(a16,f17(x7631,x7631))),
% 1.62/1.67 inference(scs_inference,[],[54,676,521,508,43,41])).
% 1.62/1.67 cnf(764,plain,
% 1.62/1.67 (P2(x7641,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(767,plain,
% 1.62/1.67 (E(f5(x7671,f5(a11,a1,a12),f5(a11,a1,a12)),f5(x7671,f3(a12),f3(a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,683,697,676,690,521,508,762,43,41,44,3])).
% 1.62/1.67 cnf(768,plain,
% 1.62/1.67 (E(f5(x7681,f5(a11,a1,a12),x7682),f5(x7681,f3(a12),x7682))),
% 1.62/1.67 inference(rename_variables,[],[683])).
% 1.62/1.67 cnf(771,plain,
% 1.62/1.67 (~P2(a12,a16)+~P2(a12,f25(f19(a1)))),
% 1.62/1.67 inference(scs_inference,[],[54,764,683,768,697,676,690,521,508,762,637,118,43,41,44,3,2,82])).
% 1.62/1.67 cnf(785,plain,
% 1.62/1.67 (P2(x7851,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(789,plain,
% 1.62/1.67 (~P2(a12,f17(f3(a12),f5(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,724,556,700,605,521,208,771,47,43,41])).
% 1.62/1.67 cnf(790,plain,
% 1.62/1.67 (E(f17(x7901,f5(a11,a1,a12)),f17(x7901,f3(a12)))),
% 1.62/1.67 inference(rename_variables,[],[700])).
% 1.62/1.67 cnf(792,plain,
% 1.62/1.67 (~P5(f27(a11,a1,a12),f21(f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,724,748,556,700,439,605,521,208,771,47,43,41,44])).
% 1.62/1.67 cnf(798,plain,
% 1.62/1.67 (P2(x7981,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(800,plain,
% 1.62/1.67 (~P2(a1,a16)+P5(f24(f19(x8001),a1),f19(x8001))),
% 1.62/1.67 inference(scs_inference,[],[54,785,798,724,748,727,556,763,700,790,439,605,521,527,208,771,47,43,41,44,3,2,72,87])).
% 1.62/1.67 cnf(801,plain,
% 1.62/1.67 (P2(x8011,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(805,plain,
% 1.62/1.67 (~P2(a12,f28(a1))+~P2(a12,a16)),
% 1.62/1.67 inference(scs_inference,[],[54,785,798,801,724,748,727,556,763,493,700,790,439,605,521,527,208,771,47,43,41,44,3,2,72,87,107,88])).
% 1.62/1.67 cnf(812,plain,
% 1.62/1.67 (~P2(a12,f28(a1))),
% 1.62/1.67 inference(scs_inference,[],[54,805])).
% 1.62/1.67 cnf(813,plain,
% 1.62/1.67 (P2(x8131,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(816,plain,
% 1.62/1.67 (P2(x8161,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(817,plain,
% 1.62/1.67 (P2(x8171,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(819,plain,
% 1.62/1.67 (~P5(a1,f21(f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,792,434,285,805,87,43])).
% 1.62/1.67 cnf(821,plain,
% 1.62/1.67 (P2(x8211,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(822,plain,
% 1.62/1.67 (~E(f19(f27(a11,a1,a12)),f21(f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,792,628,597,434,285,805,87,43,41,44])).
% 1.62/1.67 cnf(827,plain,
% 1.62/1.67 (P5(f24(f19(x8271),a1),f19(x8271))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,792,675,767,698,628,597,434,285,805,87,43,41,44,3,2,800])).
% 1.62/1.67 cnf(828,plain,
% 1.62/1.67 (P2(x8281,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(829,plain,
% 1.62/1.67 (~P2(a12,f28(f4(x8291,x8292)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,767,698,628,597,434,285,490,805,87,43,41,44,3,2,800,100])).
% 1.62/1.67 cnf(832,plain,
% 1.62/1.67 (P2(x8321,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(833,plain,
% 1.62/1.67 (P2(x8331,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(836,plain,
% 1.62/1.67 (E(f21(a1),f21(f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23])).
% 1.62/1.67 cnf(837,plain,
% 1.62/1.67 (E(f27(x8371,x8372,a1),f27(x8371,x8372,f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34])).
% 1.62/1.67 cnf(838,plain,
% 1.62/1.67 (E(f13(a1,x8381),f13(f27(a11,a1,a12),x8381))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30])).
% 1.62/1.67 cnf(842,plain,
% 1.62/1.67 (E(f28(a1),f28(f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11])).
% 1.62/1.67 cnf(843,plain,
% 1.62/1.67 (E(f19(a1),f19(f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10])).
% 1.62/1.67 cnf(846,plain,
% 1.62/1.67 (E(f14(a1,x8461),f14(f27(a11,a1,a12),x8461))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10,9,38,35])).
% 1.62/1.67 cnf(847,plain,
% 1.62/1.67 (E(f27(a1,x8471,x8472),f27(f18(a12),x8471,x8472))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,338,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10,9,38,35,32])).
% 1.62/1.67 cnf(848,plain,
% 1.62/1.67 (E(f13(x8481,a1),f13(x8481,f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,338,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10,9,38,35,32,31])).
% 1.62/1.67 cnf(851,plain,
% 1.62/1.67 (E(f5(x8511,a1,x8512),f5(x8511,f27(a11,a1,a12),x8512))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,338,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10,9,38,35,32,31,25,22,15])).
% 1.62/1.67 cnf(852,plain,
% 1.62/1.67 (E(f5(a1,x8521,x8522),f5(f27(a11,a1,a12),x8521,x8522))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,338,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10,9,38,35,32,31,25,22,15,14])).
% 1.62/1.67 cnf(856,plain,
% 1.62/1.67 (E(f17(x8561,a1),f17(x8561,f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,816,792,675,744,767,698,628,597,434,338,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10,9,38,35,32,31,25,22,15,14,13,12,7,5])).
% 1.62/1.67 cnf(865,plain,
% 1.62/1.67 (E(f27(x8651,a1,x8652),f27(x8651,f27(a11,a1,a12),x8652))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,832,816,833,792,550,675,744,767,698,628,597,434,338,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10,9,38,35,32,31,25,22,15,14,13,12,7,5,88,17,8,37,36,33])).
% 1.62/1.67 cnf(866,plain,
% 1.62/1.67 (E(f24(x8661,a1),f24(x8661,f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,832,816,833,792,550,675,744,767,698,628,597,434,338,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10,9,38,35,32,31,25,22,15,14,13,12,7,5,88,17,8,37,36,33,20])).
% 1.62/1.67 cnf(867,plain,
% 1.62/1.67 (E(f5(x8671,x8672,a1),f5(x8671,x8672,f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[54,813,817,821,828,832,816,833,792,550,675,744,767,698,628,597,434,338,285,490,527,805,87,43,41,44,3,2,800,100,81,27,23,34,30,24,26,18,11,10,9,38,35,32,31,25,22,15,14,13,12,7,5,88,17,8,37,36,33,20,16])).
% 1.62/1.67 cnf(891,plain,
% 1.62/1.67 (P1(f27(a11,f27(a11,a1,a12),a12))),
% 1.62/1.67 inference(scs_inference,[],[865,336,39])).
% 1.62/1.67 cnf(892,plain,
% 1.62/1.67 (E(f27(x8921,a1,x8922),f27(x8921,f27(a11,a1,a12),x8922))),
% 1.62/1.67 inference(rename_variables,[],[865])).
% 1.62/1.67 cnf(894,plain,
% 1.62/1.67 (E(f27(x8941,a1,x8942),f27(x8941,f27(a11,a1,a12),x8942))),
% 1.62/1.67 inference(rename_variables,[],[865])).
% 1.62/1.67 cnf(897,plain,
% 1.62/1.67 (P5(f27(a1,f27(a11,a1,a12),f14(a1,a1)),f19(a1))),
% 1.62/1.67 inference(scs_inference,[],[851,865,892,894,534,724,177,336,39,45,40,43])).
% 1.62/1.67 cnf(898,plain,
% 1.62/1.67 (E(f27(x8981,a1,x8982),f27(x8981,f27(a11,a1,a12),x8982))),
% 1.62/1.67 inference(rename_variables,[],[865])).
% 1.62/1.67 cnf(902,plain,
% 1.62/1.67 (P5(f24(f19(a1),a1),f19(f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[120,851,865,892,894,827,842,843,534,724,177,336,39,45,40,43,41,44])).
% 1.62/1.67 cnf(907,plain,
% 1.62/1.67 (~E(f21(f27(a11,a1,a12)),f19(f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[120,822,837,851,865,892,894,898,827,842,843,534,724,177,336,39,45,40,43,41,44,3,2])).
% 1.62/1.67 cnf(909,plain,
% 1.62/1.67 (P2(x9091,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(911,plain,
% 1.62/1.67 (~P2(f19(f27(a11,a1,a12)),a16)+~P5(f19(f27(a11,a1,a12)),f19(f18(a12)))),
% 1.62/1.67 inference(scs_inference,[],[120,822,837,851,865,892,894,898,827,671,842,843,534,724,177,336,285,54,909,39,45,40,43,41,44,3,2,60,98])).
% 1.62/1.67 cnf(944,plain,
% 1.62/1.67 (P2(x9441,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(945,plain,
% 1.62/1.67 (~P5(f27(a11,f27(a11,a1,a12),a12),f27(a11,f27(a11,a1,a12),a12))),
% 1.62/1.67 inference(scs_inference,[],[891,54,944,911,76])).
% 1.62/1.67 cnf(946,plain,
% 1.62/1.67 (P2(x9461,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(947,plain,
% 1.62/1.67 (P2(x9471,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(949,plain,
% 1.62/1.67 (P2(f23(f19(x9491)),f28(x9491))),
% 1.62/1.67 inference(scs_inference,[],[891,206,54,944,947,946,911,76,92])).
% 1.62/1.67 cnf(951,plain,
% 1.62/1.67 (P2(x9511,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(953,plain,
% 1.62/1.67 (~P5(f27(a1,f27(a11,a1,a12),f14(a1,a1)),f27(a1,f27(a11,a1,a12),f14(a1,a1)))),
% 1.62/1.67 inference(scs_inference,[],[109,891,897,206,54,944,947,951,946,911,76,92,98])).
% 1.62/1.67 cnf(959,plain,
% 1.62/1.67 (~E(f27(a11,f27(a11,a1,a12),a12),f19(x9591))),
% 1.62/1.67 inference(scs_inference,[],[109,118,891,897,206,54,944,947,951,946,911,76,92,98,39])).
% 1.62/1.67 cnf(962,plain,
% 1.62/1.67 (P5(f24(f19(a1),f27(a11,a1,a12)),f19(f27(a11,a1,a12)))),
% 1.62/1.67 inference(scs_inference,[],[109,120,118,902,866,891,897,829,206,54,944,947,951,946,911,76,92,98,39,40,43])).
% 1.62/1.67 cnf(969,plain,
% 1.62/1.67 (E(f5(f27(a11,a1,a12),x9691,x9692),f5(a1,x9691,x9692))),
% 1.62/1.67 inference(scs_inference,[],[109,120,118,907,852,902,856,866,836,891,897,819,829,206,521,439,54,944,947,951,946,911,76,92,98,39,40,43,41,44,3,2])).
% 1.62/1.67 cnf(991,plain,
% 1.62/1.67 (E(f5(x9911,x9912,a1),f5(x9911,x9912,f27(a11,a1,a12)))),
% 1.62/1.67 inference(rename_variables,[],[867])).
% 1.62/1.67 cnf(995,plain,
% 1.62/1.67 (P2(f14(x9951,x9952),f17(x9952,x9951))),
% 1.62/1.67 inference(rename_variables,[],[536])).
% 1.62/1.67 cnf(997,plain,
% 1.62/1.67 (P2(f27(a11,a7,a12),f28(a7))+~P2(a7,a16)),
% 1.62/1.67 inference(scs_inference,[],[949,959,945,867,969,953,789,812,865,897,536,55,56,54,40,43,41,44,3,2,105,106])).
% 1.62/1.67 cnf(998,plain,
% 1.62/1.67 (P2(x9981,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(1000,plain,
% 1.62/1.67 (P6(f5(x10001,x10002,f27(a11,a1,a12)),f5(x10001,x10002,a1))),
% 1.62/1.67 inference(scs_inference,[],[110,949,959,945,867,991,969,953,789,812,865,897,536,55,56,54,40,43,41,44,3,2,105,106,47])).
% 1.62/1.67 cnf(1002,plain,
% 1.62/1.67 (P6(f18(f14(x10021,x10021)),x10021)),
% 1.62/1.67 inference(scs_inference,[],[110,949,959,945,867,991,969,953,789,812,865,897,536,995,55,56,54,998,40,43,41,44,3,2,105,106,47,97])).
% 1.62/1.67 cnf(1005,plain,
% 1.62/1.67 (~P6(f19(f27(a11,a1,a12)),f27(a11,a1,a12))+~P2(f27(a11,a1,a12),a16)+~P2(f19(f27(a11,a1,a12)),a16)),
% 1.62/1.67 inference(scs_inference,[],[110,949,959,945,962,867,991,969,953,789,812,865,897,405,536,995,55,56,54,998,40,43,41,44,3,2,105,106,47,97,94])).
% 1.62/1.67 cnf(1006,plain,
% 1.62/1.67 (P2(x10061,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(1009,plain,
% 1.62/1.67 (P5(f22(f19(x10091),a1),f19(x10091))+~P2(a1,a16)),
% 1.62/1.67 inference(scs_inference,[],[110,949,959,945,962,867,991,969,953,789,812,865,897,392,405,536,995,55,56,54,998,1006,40,43,41,44,3,2,105,106,47,97,94,85])).
% 1.62/1.67 cnf(1021,plain,
% 1.62/1.67 (E(f27(a1,x10211,x10212),f27(f18(a12),x10211,x10212))),
% 1.62/1.67 inference(rename_variables,[],[847])).
% 1.62/1.67 cnf(1030,plain,
% 1.62/1.67 (P2(x10301,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(1032,plain,
% 1.62/1.67 (P2(x10321,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(1034,plain,
% 1.62/1.67 (P2(x10341,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(1036,plain,
% 1.62/1.67 (P2(x10361,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(1040,plain,
% 1.62/1.67 (P2(x10401,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(1080,plain,
% 1.62/1.67 (P2(x10801,a16)),
% 1.62/1.67 inference(rename_variables,[],[54])).
% 1.62/1.67 cnf(1082,plain,
% 1.62/1.67 (~P2(a1,a16)),
% 1.62/1.67 inference(scs_inference,[],[120,1002,1000,838,846,847,1021,848,689,452,829,843,737,897,534,338,192,55,56,54,1030,1032,1034,1036,1040,1080,47,40,43,41,44,3,2,1009,997,1005,104,68,27,34,18,11,9,38,35,31,30,25,24,23,22,13,12,7,5,26,17,10,15,14,32,8,37,36,33,28,21,20,19,16,4,29,6,45,122,102,103])).
% 1.62/1.67 cnf(1094,plain,
% 1.62/1.67 ($false),
% 1.62/1.67 inference(scs_inference,[],[1082,54]),
% 1.62/1.67 ['proof']).
% 1.62/1.67 % SZS output end Proof
% 1.62/1.67 % Total time :1.000000s
%------------------------------------------------------------------------------