TSTP Solution File: SET669+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 14:30:39 EDT 2023
% Result : Theorem 1.56s 1.65s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 12:40:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.51 start to proof:theBenchmark
% 1.56/1.64 %-------------------------------------------
% 1.56/1.64 % File :CSE---1.6
% 1.56/1.64 % Problem :theBenchmark
% 1.56/1.64 % Transform :cnf
% 1.56/1.64 % Format :tptp:raw
% 1.56/1.64 % Command :java -jar mcs_scs.jar %d %s
% 1.56/1.64
% 1.56/1.64 % Result :Theorem 1.060000s
% 1.56/1.64 % Output :CNFRefutation 1.060000s
% 1.56/1.64 %-------------------------------------------
% 1.56/1.64 %------------------------------------------------------------------------------
% 1.56/1.64 % File : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% 1.56/1.64 % Domain : Set Theory (Relations)
% 1.56/1.64 % Problem : Id on Y subset of R => Y subset of domain R & Y is range R
% 1.56/1.64 % Version : [Wor90] axioms : Reduced > Incomplete.
% 1.56/1.64 % English : If the identity relation on Y is a subset of a relation R from X
% 1.56/1.64 % to Y then Y is a subset of the domain of R and Y is the range of R.
% 1.56/1.64
% 1.56/1.64 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 1.56/1.64 % : [Wor90] Woronowicz (1990), Relations Defined on Sets
% 1.56/1.64 % Source : [ILF]
% 1.56/1.64 % Names : RELSET_1 (32) [Wor90]
% 1.56/1.64
% 1.56/1.64 % Status : Theorem
% 1.56/1.64 % Rating : 0.39 v8.1.0, 0.36 v7.5.0, 0.41 v7.4.0, 0.33 v7.3.0, 0.41 v7.2.0, 0.38 v7.1.0, 0.30 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.42 v6.2.0, 0.44 v6.1.0, 0.50 v6.0.0, 0.57 v5.5.0, 0.63 v5.4.0, 0.64 v5.3.0, 0.67 v5.2.0, 0.50 v5.1.0, 0.52 v5.0.0, 0.54 v4.1.0, 0.57 v4.0.0, 0.54 v3.7.0, 0.55 v3.5.0, 0.53 v3.4.0, 0.42 v3.3.0, 0.36 v3.2.0, 0.27 v3.1.0, 0.22 v2.7.0, 0.17 v2.6.0, 0.29 v2.5.0, 0.38 v2.4.0, 0.25 v2.3.0, 0.33 v2.2.1
% 1.56/1.64 % Syntax : Number of formulae : 33 ( 2 unt; 0 def)
% 1.56/1.64 % Number of atoms : 130 ( 7 equ)
% 1.56/1.64 % Maximal formula atoms : 7 ( 3 avg)
% 1.56/1.64 % Number of connectives : 101 ( 4 ~; 0 |; 13 &)
% 1.56/1.64 % ( 10 <=>; 74 =>; 0 <=; 0 <~>)
% 1.56/1.64 % Maximal formula depth : 11 ( 6 avg)
% 1.56/1.64 % Maximal term depth : 3 ( 1 avg)
% 1.56/1.64 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 1.56/1.64 % Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% 1.56/1.64 % Number of variables : 74 ( 68 !; 6 ?)
% 1.56/1.64 % SPC : FOF_THM_RFO_SEQ
% 1.56/1.64
% 1.56/1.64 % Comments :
% 1.56/1.64 %------------------------------------------------------------------------------
% 1.56/1.64 %---- line(boole - th(28),1909410)
% 1.56/1.64 fof(p1,axiom,
% 1.56/1.64 ! [B] :
% 1.56/1.64 ( ilf_type(B,set_type)
% 1.56/1.64 => ! [C] :
% 1.56/1.64 ( ilf_type(C,set_type)
% 1.56/1.64 => ( ( subset(B,C)
% 1.56/1.64 & subset(C,B) )
% 1.56/1.64 => B = C ) ) ) ).
% 1.56/1.64
% 1.56/1.64 %---- line(relset_1 - th(30),1916572)
% 1.56/1.64 fof(p2,axiom,
% 1.56/1.64 ! [B] :
% 1.56/1.64 ( ilf_type(B,set_type)
% 1.56/1.64 => ! [C] :
% 1.56/1.64 ( ilf_type(C,set_type)
% 1.56/1.64 => ! [D] :
% 1.56/1.64 ( ilf_type(D,set_type)
% 1.56/1.64 => ! [E] :
% 1.56/1.64 ( ilf_type(E,relation_type(B,C))
% 1.56/1.64 => ( subset(identity_relation_of(D),E)
% 1.56/1.64 => ( subset(D,domain(B,C,E))
% 1.56/1.64 & subset(D,range(B,C,E)) ) ) ) ) ) ) ).
% 1.56/1.64
% 1.56/1.64 %---- line(relat_1 - df(10),1918876)
% 1.56/1.64 fof(p3,axiom,
% 1.56/1.64 ! [B] :
% 1.56/1.64 ( ilf_type(B,set_type)
% 1.56/1.64 => ! [C] :
% 1.56/1.64 ( ilf_type(C,set_type)
% 1.56/1.64 => ! [D] :
% 1.56/1.64 ( ilf_type(D,set_type)
% 1.56/1.64 => ( member(ordered_pair(C,D),identity_relation_of(B))
% 1.56/1.64 <=> ( member(C,B)
% 1.56/1.64 & C = D ) ) ) ) ) ).
% 1.56/1.64
% 1.56/1.64 %---- declaration(line(relat_1 - df(10),1918876))
% 1.56/1.64 fof(p4,axiom,
% 1.56/1.64 ! [B] :
% 1.56/1.64 ( ilf_type(B,set_type)
% 1.56/1.64 => ilf_type(identity_relation_of(B),binary_relation_type) ) ).
% 1.56/1.64
% 1.56/1.64 %---- line(relset_1 - df(1),1916080)
% 1.56/1.64 fof(p5,axiom,
% 1.56/1.64 ! [B] :
% 1.56/1.64 ( ilf_type(B,set_type)
% 1.56/1.64 => ! [C] :
% 1.56/1.64 ( ilf_type(C,set_type)
% 1.56/1.64 => ( ! [D] :
% 1.56/1.64 ( ilf_type(D,subset_type(cross_product(B,C)))
% 1.56/1.64 => ilf_type(D,relation_type(B,C)) )
% 1.56/1.64 & ! [E] :
% 1.56/1.64 ( ilf_type(E,relation_type(B,C))
% 1.56/1.64 => ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ) ).
% 1.56/1.64
% 1.56/1.64 %---- type_nonempty(line(relset_1 - df(1),1916080))
% 1.56/1.64 fof(p6,axiom,
% 1.56/1.64 ! [B] :
% 1.56/1.64 ( ilf_type(B,set_type)
% 1.56/1.64 => ! [C] :
% 1.56/1.64 ( ilf_type(C,set_type)
% 1.56/1.64 => ? [D] : ilf_type(D,relation_type(C,B)) ) ) ).
% 1.56/1.64
% 1.56/1.64 %---- line(tarski - df(3),1832749)
% 1.56/1.64 fof(p7,axiom,
% 1.56/1.64 ! [B] :
% 1.56/1.64 ( ilf_type(B,set_type)
% 1.56/1.64 => ! [C] :
% 1.56/1.64 ( ilf_type(C,set_type)
% 1.56/1.64 => ( subset(B,C)
% 1.56/1.64 <=> ! [D] :
% 1.56/1.64 ( ilf_type(D,set_type)
% 1.56/1.64 => ( member(D,B)
% 1.56/1.64 => member(D,C) ) ) ) ) ) ).
% 1.56/1.64
% 1.56/1.64 %---- line(relat_1 - df(3),1917829)
% 1.56/1.64 fof(p8,axiom,
% 1.56/1.64 ! [B] :
% 1.56/1.64 ( ilf_type(B,binary_relation_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,binary_relation_type)
% 1.56/1.65 => ( subset(B,C)
% 1.56/1.65 <=> ! [D] :
% 1.56/1.65 ( ilf_type(D,set_type)
% 1.56/1.65 => ! [E] :
% 1.56/1.65 ( ilf_type(E,set_type)
% 1.56/1.65 => ( member(ordered_pair(D,E),B)
% 1.56/1.65 => member(ordered_pair(D,E),C) ) ) ) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- line(boole - df(8),1909359)
% 1.56/1.65 fof(p9,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ( B = C
% 1.56/1.65 <=> ( subset(B,C)
% 1.56/1.65 & subset(C,B) ) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- declaration(op(domain_of,1,function))
% 1.56/1.65 fof(p10,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,binary_relation_type)
% 1.56/1.65 => ilf_type(domain_of(B),set_type) ) ).
% 1.56/1.65
% 1.56/1.65 %---- declaration(op(cross_product,2,function))
% 1.56/1.65 fof(p11,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ilf_type(cross_product(B,C),set_type) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- declaration(op(range_of,1,function))
% 1.56/1.65 fof(p12,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,binary_relation_type)
% 1.56/1.65 => ilf_type(range_of(B),set_type) ) ).
% 1.56/1.65
% 1.56/1.65 %---- declaration(op(ordered_pair,2,function))
% 1.56/1.65 fof(p13,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ilf_type(ordered_pair(B,C),set_type) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- line(relat_1 - axiom354,1917641)
% 1.56/1.65 fof(p14,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ( ilf_type(B,binary_relation_type)
% 1.56/1.65 <=> ( relation_like(B)
% 1.56/1.65 & ilf_type(B,set_type) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- type_nonempty(line(relat_1 - axiom354,1917641))
% 1.56/1.65 fof(p15,axiom,
% 1.56/1.65 ? [B] : ilf_type(B,binary_relation_type) ).
% 1.56/1.65
% 1.56/1.65 %---- line(hidden - axiom355,1832648)
% 1.56/1.65 fof(p16,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ( ilf_type(C,subset_type(B))
% 1.56/1.65 <=> ilf_type(C,member_type(power_set(B))) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- type_nonempty(line(hidden - axiom355,1832648))
% 1.56/1.65 fof(p17,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ? [C] : ilf_type(C,subset_type(B)) ) ).
% 1.56/1.65
% 1.56/1.65 %---- property(reflexivity,op(subset,2,predicate))
% 1.56/1.65 fof(p18,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => subset(B,B) ) ).
% 1.56/1.65
% 1.56/1.65 %---- property(reflexivity,op(subset,2,predicate))
% 1.56/1.65 fof(p19,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,binary_relation_type)
% 1.56/1.65 => subset(B,B) ) ).
% 1.56/1.65
% 1.56/1.65 %---- line(hidden - axiom357,1832644)
% 1.56/1.65 fof(p20,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ( member(B,power_set(C))
% 1.56/1.65 <=> ! [D] :
% 1.56/1.65 ( ilf_type(D,set_type)
% 1.56/1.65 => ( member(D,B)
% 1.56/1.65 => member(D,C) ) ) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- declaration(line(hidden - axiom357,1832644))
% 1.56/1.65 fof(p21,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ( ~ empty(power_set(B))
% 1.56/1.65 & ilf_type(power_set(B),set_type) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- line(hidden - axiom358,1832640)
% 1.56/1.65 fof(p22,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ( ~ empty(C)
% 1.56/1.65 & ilf_type(C,set_type) )
% 1.56/1.65 => ( ilf_type(B,member_type(C))
% 1.56/1.65 <=> member(B,C) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- type_nonempty(line(hidden - axiom358,1832640))
% 1.56/1.65 fof(p23,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ( ~ empty(B)
% 1.56/1.65 & ilf_type(B,set_type) )
% 1.56/1.65 => ? [C] : ilf_type(C,member_type(B)) ) ).
% 1.56/1.65
% 1.56/1.65 %---- line(relat_1 - df(1),1917627)
% 1.56/1.65 fof(p24,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ( relation_like(B)
% 1.56/1.65 <=> ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ( member(C,B)
% 1.56/1.65 => ? [D] :
% 1.56/1.65 ( ilf_type(D,set_type)
% 1.56/1.65 & ? [E] :
% 1.56/1.65 ( ilf_type(E,set_type)
% 1.56/1.65 & C = ordered_pair(D,E) ) ) ) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- conditional_cluster(axiom360,relation_like)
% 1.56/1.65 fof(p25,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ! [D] :
% 1.56/1.65 ( ilf_type(D,subset_type(cross_product(B,C)))
% 1.56/1.65 => relation_like(D) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- line(hidden - axiom361,1832628)
% 1.56/1.65 fof(p26,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ( empty(B)
% 1.56/1.65 <=> ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ~ member(C,B) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- conditional_cluster(axiom362,empty)
% 1.56/1.65 fof(p27,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ( empty(B)
% 1.56/1.65 & ilf_type(B,set_type) )
% 1.56/1.65 => relation_like(B) ) ).
% 1.56/1.65
% 1.56/1.65 %---- line(relset_1 - axiom366,1916330)
% 1.56/1.65 fof(p28,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ! [D] :
% 1.56/1.65 ( ilf_type(D,relation_type(B,C))
% 1.56/1.65 => domain(B,C,D) = domain_of(D) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- declaration(line(relset_1 - axiom366,1916330))
% 1.56/1.65 fof(p29,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ! [D] :
% 1.56/1.65 ( ilf_type(D,relation_type(B,C))
% 1.56/1.65 => ilf_type(domain(B,C,D),subset_type(B)) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- line(relset_1 - axiom367,1916334)
% 1.56/1.65 fof(p30,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ! [D] :
% 1.56/1.65 ( ilf_type(D,relation_type(B,C))
% 1.56/1.65 => range(B,C,D) = range_of(D) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- declaration(line(relset_1 - axiom367,1916334))
% 1.56/1.65 fof(p31,axiom,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ! [D] :
% 1.56/1.65 ( ilf_type(D,relation_type(B,C))
% 1.56/1.65 => ilf_type(range(B,C,D),subset_type(C)) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %---- declaration(set)
% 1.56/1.65 fof(p32,axiom,
% 1.56/1.65 ! [B] : ilf_type(B,set_type) ).
% 1.56/1.65
% 1.56/1.65 %---- line(relset_1 - th(32),1916604)
% 1.56/1.65 fof(prove_relset_1_32,conjecture,
% 1.56/1.65 ! [B] :
% 1.56/1.65 ( ilf_type(B,set_type)
% 1.56/1.65 => ! [C] :
% 1.56/1.65 ( ilf_type(C,set_type)
% 1.56/1.65 => ! [D] :
% 1.56/1.65 ( ilf_type(D,relation_type(B,C))
% 1.56/1.65 => ( subset(identity_relation_of(C),D)
% 1.56/1.65 => ( subset(C,domain(B,C,D))
% 1.56/1.65 & C = range(B,C,D) ) ) ) ) ) ).
% 1.56/1.65
% 1.56/1.65 %------------------------------------------------------------------------------
% 1.56/1.65 %-------------------------------------------
% 1.56/1.65 % Proof found
% 1.56/1.65 % SZS status Theorem for theBenchmark
% 1.56/1.65 % SZS output start Proof
% 1.56/1.65 %ClaNum:111(EqnAxiom:47)
% 1.56/1.65 %VarNum:287(SingletonVarNum:93)
% 1.56/1.65 %MaxLitNum:7
% 1.56/1.65 %MaxfuncDepth:2
% 1.56/1.65 %SharedTerms:17
% 1.56/1.65 %goalClause: 52 53 108
% 1.56/1.65 %singleGoalClaCount:2
% 1.56/1.65 [48]P1(a1,a2)
% 1.56/1.65 [52]P3(f17(a10),a11)
% 1.56/1.65 [53]P1(a11,f22(a3,a10))
% 1.56/1.65 [51]P1(x511,a16)
% 1.56/1.65 [108]~E(f27(a3,a10,a11),a10)+~P3(a10,f6(a3,a10,a11))
% 1.56/1.65 [55]P3(x551,x551)+~P1(x551,a16)
% 1.56/1.65 [56]P3(x561,x561)+~P1(x561,a2)
% 1.56/1.65 [57]~P1(x571,a16)+~P2(f23(x571))
% 1.56/1.65 [58]~P1(x581,a16)+P1(f17(x581),a2)
% 1.56/1.65 [68]~P1(x681,a16)+P1(f18(x681),f28(x681))
% 1.56/1.65 [54]~P2(x541)+P4(x541)+~P1(x541,a16)
% 1.56/1.65 [62]~P4(x621)+~P1(x621,a16)+P1(x621,a2)
% 1.56/1.65 [65]P4(x651)+~P1(x651,a16)+~P1(x651,a2)
% 1.56/1.65 [66]P4(x661)+P5(f7(x661),x661)+~P1(x661,a16)
% 1.56/1.65 [67]P2(x671)+P5(f9(x671),x671)+~P1(x671,a16)
% 1.56/1.65 [69]P2(x691)+P1(f19(x691),f24(x691))+~P1(x691,a16)
% 1.56/1.65 [87]~P1(x872,a16)+~P1(x871,a16)+P1(f13(x871,x872),f22(x872,x871))
% 1.56/1.65 [71]~E(x711,x712)+P3(x711,x712)+~P1(x712,a16)+~P1(x711,a16)
% 1.56/1.65 [72]~P2(x721)+~P5(x722,x721)+~P1(x722,a16)+~P1(x721,a16)
% 1.56/1.65 [83]P3(x831,x832)+P5(f12(x831,x832),x831)+~P1(x832,a16)+~P1(x831,a16)
% 1.56/1.65 [85]P5(f20(x851,x852),x851)+~P1(x852,a16)+~P1(x851,a16)+P5(x851,f23(x852))
% 1.56/1.65 [91]P3(x911,x912)+~P1(x912,a16)+~P1(x911,a16)+~P5(f12(x911,x912),x912)
% 1.56/1.65 [93]~P1(x932,a16)+~P1(x931,a16)+~P5(f20(x931,x932),x932)+P5(x931,f23(x932))
% 1.56/1.65 [86]~P1(x862,a16)+~P1(x861,a16)+~P1(x861,f28(x862))+P1(x861,f24(f23(x862)))
% 1.56/1.65 [90]~P1(x902,a16)+~P1(x901,a16)+P1(x901,f28(x902))+~P1(x901,f24(f23(x902)))
% 1.56/1.65 [104]P3(x1041,x1042)+~P1(x1042,a2)+~P1(x1041,a2)+P5(f25(f14(x1041,x1042),f15(x1041,x1042)),x1041)
% 1.56/1.65 [111]P3(x1111,x1112)+~P1(x1112,a2)+~P1(x1111,a2)+~P5(f25(f14(x1111,x1112),f15(x1111,x1112)),x1112)
% 1.56/1.65 [100]~P1(x1002,a16)+~P1(x1001,a16)+~P1(x1003,f22(x1001,x1002))+E(f6(x1001,x1002,x1003),f4(x1003))
% 1.56/1.65 [101]~P1(x1012,a16)+~P1(x1011,a16)+~P1(x1013,f22(x1011,x1012))+E(f27(x1011,x1012,x1013),f26(x1013))
% 1.56/1.65 [106]~P1(x1062,a16)+~P1(x1061,a16)+~P1(x1063,f22(x1061,x1062))+P1(f6(x1061,x1062,x1063),f28(x1061))
% 1.56/1.65 [107]~P1(x1072,a16)+~P1(x1071,a16)+~P1(x1073,f22(x1071,x1072))+P1(f27(x1071,x1072,x1073),f28(x1072))
% 1.56/1.65 [99]P4(x991)+~P1(x992,a16)+~P1(x993,a16)+~P1(x991,f28(f5(x993,x992)))
% 1.56/1.65 [102]~P1(x1023,a16)+~P1(x1022,a16)+~P1(x1021,f22(x1022,x1023))+P1(x1021,f28(f5(x1022,x1023)))
% 1.56/1.65 [103]~P1(x1033,a16)+~P1(x1032,a16)+P1(x1031,f22(x1032,x1033))+~P1(x1031,f28(f5(x1032,x1033)))
% 1.56/1.65 [76]~P3(x762,x761)+~P3(x761,x762)+E(x761,x762)+~P1(x762,a16)+~P1(x761,a16)
% 1.56/1.65 [77]~P5(x772,x771)+P2(x771)+~P1(x771,a16)+~P1(x772,a16)+P1(x772,f24(x771))
% 1.56/1.65 [78]P2(x781)+P5(x782,x781)+~P1(x781,a16)+~P1(x782,a16)+~P1(x782,f24(x781))
% 1.56/1.65 [97]~P4(x971)+~P5(x972,x971)+~P1(x971,a16)+~P1(x972,a16)+E(f25(f21(x971,x972),f8(x971,x972)),x972)
% 1.56/1.65 [82]P4(x821)+~P1(x821,a16)+~P1(x823,a16)+~P1(x822,a16)+~E(f7(x821),f25(x822,x823))
% 1.56/1.65 [96]E(x961,x962)+~P1(x962,a16)+~P1(x961,a16)+~P5(f25(x961,x962),f17(x963))+~P1(x963,a16)
% 1.56/1.65 [98]P5(x981,x982)+~P1(x982,a16)+~P1(x981,a16)+~P5(f25(x981,x983),f17(x982))+~P1(x983,a16)
% 1.56/1.65 [92]~P5(x921,x923)+P5(x921,x922)+~P3(x923,x922)+~P1(x921,a16)+~P1(x922,a16)+~P1(x923,a16)
% 1.56/1.65 [94]P5(x941,x942)+~P5(x941,x943)+~P1(x941,a16)+~P1(x942,a16)+~P1(x943,a16)+~P5(x943,f23(x942))
% 1.56/1.65 [95]~E(x951,x952)+~P5(x951,x953)+~P1(x952,a16)+~P1(x953,a16)+~P1(x951,a16)+P5(f25(x951,x952),f17(x953))
% 1.56/1.65 [109]~P1(x1093,a16)+~P1(x1092,a16)+~P1(x1091,a16)+~P3(f17(x1091),x1094)+~P1(x1094,f22(x1092,x1093))+P3(x1091,f6(x1092,x1093,x1094))
% 1.56/1.65 [110]~P1(x1103,a16)+~P1(x1102,a16)+~P1(x1101,a16)+~P3(f17(x1101),x1104)+~P1(x1104,f22(x1102,x1103))+P3(x1101,f27(x1102,x1103,x1104))
% 1.56/1.65 [105]~P3(x1054,x1053)+~P1(x1052,a16)+~P1(x1051,a16)+~P1(x1053,a2)+~P1(x1054,a2)+~P5(f25(x1051,x1052),x1054)+P5(f25(x1051,x1052),x1053)
% 1.56/1.65 %EqnAxiom
% 1.56/1.65 [1]E(x11,x11)
% 1.56/1.65 [2]E(x22,x21)+~E(x21,x22)
% 1.56/1.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.56/1.65 [4]~E(x41,x42)+E(f17(x41),f17(x42))
% 1.56/1.65 [5]~E(x51,x52)+E(f22(x51,x53),f22(x52,x53))
% 1.56/1.65 [6]~E(x61,x62)+E(f22(x63,x61),f22(x63,x62))
% 1.56/1.65 [7]~E(x71,x72)+E(f23(x71),f23(x72))
% 1.56/1.65 [8]~E(x81,x82)+E(f25(x81,x83),f25(x82,x83))
% 1.56/1.65 [9]~E(x91,x92)+E(f25(x93,x91),f25(x93,x92))
% 1.56/1.65 [10]~E(x101,x102)+E(f4(x101),f4(x102))
% 1.56/1.65 [11]~E(x111,x112)+E(f26(x111),f26(x112))
% 1.56/1.65 [12]~E(x121,x122)+E(f28(x121),f28(x122))
% 1.56/1.65 [13]~E(x131,x132)+E(f7(x131),f7(x132))
% 1.56/1.65 [14]~E(x141,x142)+E(f9(x141),f9(x142))
% 1.56/1.65 [15]~E(x151,x152)+E(f21(x151,x153),f21(x152,x153))
% 1.56/1.65 [16]~E(x161,x162)+E(f21(x163,x161),f21(x163,x162))
% 1.56/1.65 [17]~E(x171,x172)+E(f27(x171,x173,x174),f27(x172,x173,x174))
% 1.56/1.65 [18]~E(x181,x182)+E(f27(x183,x181,x184),f27(x183,x182,x184))
% 1.56/1.65 [19]~E(x191,x192)+E(f27(x193,x194,x191),f27(x193,x194,x192))
% 1.56/1.65 [20]~E(x201,x202)+E(f18(x201),f18(x202))
% 1.56/1.65 [21]~E(x211,x212)+E(f6(x211,x213,x214),f6(x212,x213,x214))
% 1.56/1.65 [22]~E(x221,x222)+E(f6(x223,x221,x224),f6(x223,x222,x224))
% 1.56/1.65 [23]~E(x231,x232)+E(f6(x233,x234,x231),f6(x233,x234,x232))
% 1.56/1.65 [24]~E(x241,x242)+E(f19(x241),f19(x242))
% 1.56/1.65 [25]~E(x251,x252)+E(f24(x251),f24(x252))
% 1.56/1.65 [26]~E(x261,x262)+E(f5(x261,x263),f5(x262,x263))
% 1.56/1.65 [27]~E(x271,x272)+E(f5(x273,x271),f5(x273,x272))
% 1.56/1.65 [28]~E(x281,x282)+E(f20(x281,x283),f20(x282,x283))
% 1.56/1.65 [29]~E(x291,x292)+E(f20(x293,x291),f20(x293,x292))
% 1.56/1.65 [30]~E(x301,x302)+E(f8(x301,x303),f8(x302,x303))
% 1.56/1.65 [31]~E(x311,x312)+E(f8(x313,x311),f8(x313,x312))
% 1.56/1.65 [32]~E(x321,x322)+E(f12(x321,x323),f12(x322,x323))
% 1.56/1.65 [33]~E(x331,x332)+E(f12(x333,x331),f12(x333,x332))
% 1.56/1.65 [34]~E(x341,x342)+E(f14(x341,x343),f14(x342,x343))
% 1.56/1.65 [35]~E(x351,x352)+E(f14(x353,x351),f14(x353,x352))
% 1.56/1.65 [36]~E(x361,x362)+E(f15(x361,x363),f15(x362,x363))
% 1.56/1.65 [37]~E(x371,x372)+E(f15(x373,x371),f15(x373,x372))
% 1.56/1.65 [38]~E(x381,x382)+E(f13(x381,x383),f13(x382,x383))
% 1.56/1.65 [39]~E(x391,x392)+E(f13(x393,x391),f13(x393,x392))
% 1.56/1.65 [40]P1(x402,x403)+~E(x401,x402)+~P1(x401,x403)
% 1.56/1.65 [41]P1(x413,x412)+~E(x411,x412)+~P1(x413,x411)
% 1.56/1.65 [42]P5(x422,x423)+~E(x421,x422)+~P5(x421,x423)
% 1.56/1.65 [43]P5(x433,x432)+~E(x431,x432)+~P5(x433,x431)
% 1.56/1.65 [44]P3(x442,x443)+~E(x441,x442)+~P3(x441,x443)
% 1.56/1.65 [45]P3(x453,x452)+~E(x451,x452)+~P3(x453,x451)
% 1.56/1.65 [46]~P2(x461)+P2(x462)+~E(x461,x462)
% 1.56/1.65 [47]~P4(x471)+P4(x472)+~E(x471,x472)
% 1.56/1.65
% 1.56/1.65 %-------------------------------------------
% 1.56/1.65 cnf(113,plain,
% 1.56/1.65 (P3(x1131,x1131)),
% 1.56/1.65 inference(scs_inference,[],[51,48,56,55])).
% 1.56/1.65 cnf(115,plain,
% 1.56/1.65 (P1(x1151,a16)),
% 1.56/1.65 inference(rename_variables,[],[51])).
% 1.56/1.65 cnf(117,plain,
% 1.56/1.65 (P1(f17(x1171),a2)),
% 1.56/1.65 inference(scs_inference,[],[51,115,48,56,55,65,58])).
% 1.56/1.66 cnf(119,plain,
% 1.56/1.66 (~P2(f23(x1191))),
% 1.56/1.66 inference(scs_inference,[],[51,115,48,56,55,65,58,57])).
% 1.56/1.66 cnf(121,plain,
% 1.56/1.66 (P1(f18(x1211),f28(x1211))),
% 1.56/1.66 inference(scs_inference,[],[51,115,48,56,55,65,58,57,68])).
% 1.56/1.66 cnf(124,plain,
% 1.56/1.66 (P1(f13(x1241,x1241),f22(x1241,x1241))),
% 1.56/1.66 inference(scs_inference,[],[51,115,48,56,55,65,58,57,68,47,87])).
% 1.56/1.66 cnf(133,plain,
% 1.56/1.66 (~E(a1,x1331)+P4(x1332)+~P1(x1332,f28(f5(x1331,x1331)))),
% 1.56/1.66 inference(scs_inference,[],[51,115,48,56,55,65,58,57,68,47,87,46,62,67,69,99])).
% 1.56/1.66 cnf(153,plain,
% 1.56/1.66 (~P1(x1531,f28(f5(a1,a1)))+P4(x1531)),
% 1.56/1.66 inference(equality_inference,[],[133])).
% 1.56/1.66 cnf(162,plain,
% 1.56/1.66 (P1(f18(x1621),f28(x1621))),
% 1.56/1.66 inference(rename_variables,[],[121])).
% 1.56/1.66 cnf(165,plain,
% 1.56/1.66 (P1(f18(x1651),f28(x1651))),
% 1.56/1.66 inference(rename_variables,[],[121])).
% 1.56/1.66 cnf(167,plain,
% 1.56/1.66 (E(f27(x1671,x1671,f13(x1671,x1671)),f26(f13(x1671,x1671)))),
% 1.56/1.66 inference(scs_inference,[],[51,124,121,162,153,103,101])).
% 1.56/1.66 cnf(168,plain,
% 1.56/1.66 (P1(f13(x1681,x1681),f22(x1681,x1681))),
% 1.56/1.66 inference(rename_variables,[],[124])).
% 1.56/1.66 cnf(170,plain,
% 1.56/1.66 (E(f6(x1701,x1701,f13(x1701,x1701)),f4(f13(x1701,x1701)))),
% 1.56/1.66 inference(scs_inference,[],[51,124,168,121,162,153,103,101,100])).
% 1.56/1.66 cnf(171,plain,
% 1.56/1.66 (P1(f13(x1711,x1711),f22(x1711,x1711))),
% 1.56/1.66 inference(rename_variables,[],[124])).
% 1.56/1.66 cnf(173,plain,
% 1.56/1.66 (P1(f27(x1731,x1731,f13(x1731,x1731)),f28(x1731))),
% 1.56/1.66 inference(scs_inference,[],[51,124,168,171,121,162,153,103,101,100,107])).
% 1.56/1.66 cnf(174,plain,
% 1.56/1.66 (P1(f13(x1741,x1741),f22(x1741,x1741))),
% 1.56/1.66 inference(rename_variables,[],[124])).
% 1.56/1.66 cnf(176,plain,
% 1.56/1.66 (P1(f6(x1761,x1761,f13(x1761,x1761)),f28(x1761))),
% 1.56/1.66 inference(scs_inference,[],[51,124,168,171,174,121,162,153,103,101,100,107,106])).
% 1.56/1.66 cnf(177,plain,
% 1.56/1.66 (P1(f13(x1771,x1771),f22(x1771,x1771))),
% 1.56/1.66 inference(rename_variables,[],[124])).
% 1.56/1.66 cnf(179,plain,
% 1.56/1.66 (P5(f9(f23(x1791)),f23(x1791))),
% 1.56/1.66 inference(scs_inference,[],[51,124,168,171,174,121,162,119,153,103,101,100,107,106,67])).
% 1.56/1.66 cnf(180,plain,
% 1.56/1.66 (P1(x1801,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(182,plain,
% 1.56/1.66 (P1(f19(f23(x1821)),f24(f23(x1821)))),
% 1.56/1.66 inference(scs_inference,[],[51,180,124,168,171,174,121,162,119,153,103,101,100,107,106,67,69])).
% 1.56/1.66 cnf(183,plain,
% 1.56/1.66 (P1(x1831,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(185,plain,
% 1.56/1.66 (P1(f13(x1851,x1851),f28(f5(x1851,x1851)))),
% 1.56/1.66 inference(scs_inference,[],[51,180,183,124,168,171,174,177,121,162,119,153,103,101,100,107,106,67,69,102])).
% 1.56/1.66 cnf(186,plain,
% 1.56/1.66 (P1(x1861,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(187,plain,
% 1.56/1.66 (P1(x1871,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(189,plain,
% 1.56/1.66 (P4(f17(x1891))),
% 1.56/1.66 inference(scs_inference,[],[51,180,183,187,124,168,171,174,177,121,162,119,117,153,103,101,100,107,106,67,69,102,65])).
% 1.56/1.66 cnf(190,plain,
% 1.56/1.66 (P1(x1901,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(192,plain,
% 1.56/1.66 (P1(f13(x1921,x1922),f22(x1922,x1921))),
% 1.56/1.66 inference(scs_inference,[],[51,180,183,187,190,186,124,168,171,174,177,121,162,119,117,153,103,101,100,107,106,67,69,102,65,87])).
% 1.56/1.66 cnf(195,plain,
% 1.56/1.66 (P1(x1951,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(198,plain,
% 1.56/1.66 (P1(f18(x1981),f28(x1981))),
% 1.56/1.66 inference(rename_variables,[],[121])).
% 1.56/1.66 cnf(200,plain,
% 1.56/1.66 (P3(a10,f27(a3,a10,a11))),
% 1.56/1.66 inference(scs_inference,[],[52,53,51,180,183,187,190,195,186,124,168,171,174,177,121,162,165,119,117,153,103,101,100,107,106,67,69,102,65,87,90,133,110])).
% 1.56/1.66 cnf(202,plain,
% 1.56/1.66 (P1(x2021,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(203,plain,
% 1.56/1.66 (P1(x2031,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(207,plain,
% 1.56/1.66 (P1(x2071,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(208,plain,
% 1.56/1.66 (P1(x2081,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(213,plain,
% 1.56/1.66 (~E(f27(a3,a10,a11),a10)),
% 1.56/1.66 inference(scs_inference,[],[52,53,51,180,183,187,190,195,203,208,202,186,124,168,171,174,177,121,162,165,198,119,117,153,103,101,100,107,106,67,69,102,65,87,90,133,110,109,99,108])).
% 1.56/1.66 cnf(214,plain,
% 1.56/1.66 (P3(x2141,x2142)+~P5(f12(x2141,x2142),x2142)),
% 1.56/1.66 inference(scs_inference,[],[52,53,51,180,183,187,190,195,203,208,207,202,186,124,168,171,174,177,121,162,165,198,119,117,153,103,101,100,107,106,67,69,102,65,87,90,133,110,109,99,108,91])).
% 1.56/1.66 cnf(216,plain,
% 1.56/1.66 (P3(x2161,x2162)+P5(f12(x2161,x2162),x2161)),
% 1.56/1.66 inference(scs_inference,[],[52,53,51,180,183,187,190,195,203,208,207,202,186,124,168,171,174,177,121,162,165,198,119,117,153,103,101,100,107,106,67,69,102,65,87,90,133,110,109,99,108,91,83])).
% 1.56/1.66 cnf(243,plain,
% 1.56/1.66 (E(f26(f13(x2431,x2431)),f27(x2431,x2431,f13(x2431,x2431)))),
% 1.56/1.66 inference(scs_inference,[],[167,2])).
% 1.56/1.66 cnf(245,plain,
% 1.56/1.66 (P3(x2451,x2451)),
% 1.56/1.66 inference(rename_variables,[],[113])).
% 1.56/1.66 cnf(251,plain,
% 1.56/1.66 (~E(f26(a11),a10)+~P1(a3,a16)),
% 1.56/1.66 inference(scs_inference,[],[53,113,245,51,167,173,213,2,45,44,40,3,101])).
% 1.56/1.66 cnf(269,plain,
% 1.56/1.66 (~E(f26(a11),a10)),
% 1.56/1.66 inference(scs_inference,[],[51,251])).
% 1.56/1.66 cnf(271,plain,
% 1.56/1.66 (~E(a10,f27(a3,a10,a11))),
% 1.56/1.66 inference(scs_inference,[],[51,213,251,2])).
% 1.56/1.66 cnf(377,plain,
% 1.56/1.66 (E(f4(f13(x3771,x3771)),f6(x3771,x3771,f13(x3771,x3771)))),
% 1.56/1.66 inference(scs_inference,[],[170,2])).
% 1.56/1.66 cnf(412,plain,
% 1.56/1.66 (~E(a10,f26(a11))),
% 1.56/1.66 inference(scs_inference,[],[269,2])).
% 1.56/1.66 cnf(467,plain,
% 1.56/1.66 (P3(x4671,x4671)),
% 1.56/1.66 inference(rename_variables,[],[113])).
% 1.56/1.66 cnf(468,plain,
% 1.56/1.66 (P1(f4(f13(x4681,x4681)),f28(x4681))),
% 1.56/1.66 inference(scs_inference,[],[51,113,176,192,377,170,109,44,40])).
% 1.56/1.66 cnf(473,plain,
% 1.56/1.66 (E(f27(a3,a10,a11),f26(a11))+~P1(a3,a16)),
% 1.56/1.66 inference(scs_inference,[],[51,113,467,176,192,377,170,53,109,44,40,110,101])).
% 1.56/1.66 cnf(474,plain,
% 1.56/1.66 (P1(x4741,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(477,plain,
% 1.56/1.66 (P5(x4771,f23(x4772))+~E(f9(f23(x4772)),x4771)),
% 1.56/1.66 inference(scs_inference,[],[51,113,467,176,192,377,179,170,53,109,44,40,110,101,43,42])).
% 1.56/1.66 cnf(478,plain,
% 1.56/1.66 (P1(f9(f23(x4781)),f24(f23(x4781)))+~P1(f9(f23(x4781)),a16)),
% 1.56/1.66 inference(scs_inference,[],[51,474,113,467,176,192,377,179,170,119,53,109,44,40,110,101,43,42,77])).
% 1.56/1.66 cnf(495,plain,
% 1.56/1.66 (E(f27(a3,a10,a11),f26(a11))),
% 1.56/1.66 inference(scs_inference,[],[51,473])).
% 1.56/1.66 cnf(498,plain,
% 1.56/1.66 (P1(x4981,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(499,plain,
% 1.56/1.66 (P1(f9(f23(x4991)),f28(x4991))+~P1(f9(f23(x4991)),a16)),
% 1.56/1.66 inference(scs_inference,[],[51,498,478,90])).
% 1.56/1.66 cnf(503,plain,
% 1.56/1.66 (~P1(f26(a11),a16)+~P5(f25(a10,f26(a11)),f17(a10))),
% 1.56/1.66 inference(scs_inference,[],[412,185,51,498,478,90,133,96])).
% 1.56/1.66 cnf(504,plain,
% 1.56/1.66 (P1(x5041,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(511,plain,
% 1.56/1.66 (P1(x5111,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(512,plain,
% 1.56/1.66 (P1(x5121,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(514,plain,
% 1.56/1.66 (P5(x5141,f23(x5142))+P5(f20(x5141,x5142),x5141)),
% 1.56/1.66 inference(scs_inference,[],[113,412,185,52,51,498,504,512,511,478,90,133,96,109,110,85])).
% 1.56/1.66 cnf(518,plain,
% 1.56/1.66 (P5(f19(f23(x5181)),f23(x5181))),
% 1.56/1.66 inference(scs_inference,[],[113,119,189,412,185,182,243,52,51,498,504,512,511,478,90,133,96,109,110,85,47,43,78])).
% 1.56/1.66 cnf(525,plain,
% 1.56/1.66 (P1(x5251,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(526,plain,
% 1.56/1.66 (P3(f27(a3,a10,a11),f26(a11))),
% 1.56/1.66 inference(scs_inference,[],[113,495,51,499,45])).
% 1.56/1.66 cnf(527,plain,
% 1.56/1.66 (P3(x5271,x5271)),
% 1.56/1.66 inference(rename_variables,[],[113])).
% 1.56/1.66 cnf(528,plain,
% 1.56/1.66 (P3(f26(a11),f27(a3,a10,a11))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,499,45,44])).
% 1.56/1.66 cnf(531,plain,
% 1.56/1.66 (P1(x5311,a16)),
% 1.56/1.66 inference(rename_variables,[],[51])).
% 1.56/1.66 cnf(532,plain,
% 1.56/1.66 (E(f13(x5321,f27(a3,a10,a11)),f13(x5321,f26(a11)))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39])).
% 1.56/1.66 cnf(533,plain,
% 1.56/1.66 (E(f13(f27(a3,a10,a11),x5331),f13(f26(a11),x5331))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38])).
% 1.56/1.66 cnf(539,plain,
% 1.56/1.66 (E(f24(f27(a3,a10,a11)),f24(f26(a11)))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25])).
% 1.56/1.66 cnf(540,plain,
% 1.56/1.66 (E(f6(x5401,x5402,f27(a3,a10,a11)),f6(x5401,x5402,f26(a11)))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23])).
% 1.56/1.66 cnf(541,plain,
% 1.56/1.66 (E(f18(f27(a3,a10,a11)),f18(f26(a11)))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20])).
% 1.56/1.66 cnf(544,plain,
% 1.56/1.66 (E(f28(f27(a3,a10,a11)),f28(f26(a11)))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12])).
% 1.56/1.66 cnf(548,plain,
% 1.56/1.66 (E(f25(f27(a3,a10,a11),x5481),f25(f26(a11),x5481))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8])).
% 1.56/1.66 cnf(550,plain,
% 1.56/1.66 (E(f17(f27(a3,a10,a11)),f17(f26(a11)))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4])).
% 1.56/1.66 cnf(554,plain,
% 1.56/1.66 (E(f12(f27(a3,a10,a11),x5541),f12(f26(a11),x5541))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32])).
% 1.56/1.66 cnf(557,plain,
% 1.56/1.66 (E(f20(f27(a3,a10,a11),x5571),f20(f26(a11),x5571))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28])).
% 1.56/1.66 cnf(558,plain,
% 1.56/1.66 (E(f19(f27(a3,a10,a11)),f19(f26(a11)))),
% 1.56/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24])).
% 1.56/1.66 cnf(559,plain,
% 1.56/1.66 (E(f6(x5591,f27(a3,a10,a11),x5592),f6(x5591,f26(a11),x5592))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22])).
% 1.65/1.66 cnf(560,plain,
% 1.65/1.66 (E(f6(f27(a3,a10,a11),x5601,x5602),f6(f26(a11),x5601,x5602))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21])).
% 1.65/1.66 cnf(561,plain,
% 1.65/1.66 (E(f27(x5611,x5612,f27(a3,a10,a11)),f27(x5611,x5612,f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19])).
% 1.65/1.66 cnf(562,plain,
% 1.65/1.66 (E(f27(x5621,f27(a3,a10,a11),x5622),f27(x5621,f26(a11),x5622))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19,18])).
% 1.65/1.66 cnf(563,plain,
% 1.65/1.66 (E(f27(f27(a3,a10,a11),x5631,x5632),f27(f26(a11),x5631,x5632))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19,18,17])).
% 1.65/1.66 cnf(564,plain,
% 1.65/1.66 (E(f9(f27(a3,a10,a11)),f9(f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19,18,17,14])).
% 1.65/1.66 cnf(566,plain,
% 1.65/1.66 (E(f22(x5661,f27(a3,a10,a11)),f22(x5661,f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19,18,17,14,13,6])).
% 1.65/1.66 cnf(567,plain,
% 1.65/1.66 (E(f22(f27(a3,a10,a11),x5671),f22(f26(a11),x5671))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,51,525,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19,18,17,14,13,6,5])).
% 1.65/1.66 cnf(568,plain,
% 1.65/1.66 (P4(f13(x5681,x5681))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,185,51,525,531,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19,18,17,14,13,6,5,99])).
% 1.65/1.66 cnf(571,plain,
% 1.65/1.66 (E(f6(a3,a10,a11),f4(a11))+~P1(a10,a16)),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,185,53,51,525,531,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19,18,17,14,13,6,5,99,100])).
% 1.65/1.66 cnf(575,plain,
% 1.65/1.66 (P1(f13(f27(a3,a10,a11),f26(a11)),f22(f27(a3,a10,a11),f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,192,185,53,51,525,531,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19,18,17,14,13,6,5,99,100,3,40])).
% 1.65/1.66 cnf(577,plain,
% 1.65/1.66 (E(f26(a11),f27(a3,a10,a11))),
% 1.65/1.66 inference(scs_inference,[],[113,527,495,192,185,53,51,525,531,499,45,44,503,39,38,36,34,29,27,26,25,23,20,16,15,12,11,10,9,8,7,4,37,35,33,32,31,30,28,24,22,21,19,18,17,14,13,6,5,99,100,3,40,2])).
% 1.65/1.66 cnf(585,plain,
% 1.65/1.66 (E(f6(x5851,x5852,f27(a3,a10,a11)),f6(x5851,x5852,f26(a11)))),
% 1.65/1.66 inference(rename_variables,[],[540])).
% 1.65/1.66 cnf(587,plain,
% 1.65/1.66 (E(f6(a3,a10,a11),f4(a11))),
% 1.65/1.66 inference(scs_inference,[],[540,559,51,3,571])).
% 1.65/1.66 cnf(588,plain,
% 1.65/1.66 (P1(x5881,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(589,plain,
% 1.65/1.66 (P1(f27(a3,a10,a11),f28(a10))+~P1(a10,a16)),
% 1.65/1.66 inference(scs_inference,[],[540,559,53,51,588,3,571,107])).
% 1.65/1.66 cnf(592,plain,
% 1.65/1.66 (P3(f6(x5921,x5922,f27(a3,a10,a11)),f6(x5921,x5922,f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[540,585,559,113,53,51,588,3,571,107,45])).
% 1.65/1.66 cnf(602,plain,
% 1.65/1.66 (P1(f27(a3,a10,a11),f28(a10))),
% 1.65/1.66 inference(scs_inference,[],[51,589])).
% 1.65/1.66 cnf(603,plain,
% 1.65/1.66 (P1(x6031,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(605,plain,
% 1.65/1.66 (P1(x6051,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(609,plain,
% 1.65/1.66 (~P3(f27(a3,a10,a11),a10)),
% 1.65/1.66 inference(scs_inference,[],[200,271,51,603,605,589,76,40,2,41])).
% 1.65/1.66 cnf(611,plain,
% 1.65/1.66 (P1(f13(x6111,x6111),a2)),
% 1.65/1.66 inference(scs_inference,[],[568,51,62])).
% 1.65/1.66 cnf(612,plain,
% 1.65/1.66 (P1(x6121,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(615,plain,
% 1.65/1.66 (P1(f18(x6151),f28(x6151))),
% 1.65/1.66 inference(rename_variables,[],[121])).
% 1.65/1.66 cnf(619,plain,
% 1.65/1.66 (P5(f12(f27(a3,a10,a11),a10),f27(a3,a10,a11))),
% 1.65/1.66 inference(scs_inference,[],[121,615,568,609,560,541,544,51,62,40,2,41,216])).
% 1.65/1.66 cnf(623,plain,
% 1.65/1.66 (~P2(f27(a3,a10,a11))+~P1(f12(f27(a3,a10,a11),a10),a16)),
% 1.65/1.66 inference(scs_inference,[],[121,615,568,609,560,541,544,51,612,62,40,2,41,216,214,72])).
% 1.65/1.66 cnf(624,plain,
% 1.65/1.66 (P1(x6241,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(626,plain,
% 1.65/1.66 (P5(f9(f27(a3,a10,a11)),f27(a3,a10,a11))+~P1(f12(f27(a3,a10,a11),a10),a16)),
% 1.65/1.66 inference(scs_inference,[],[121,615,568,609,560,541,544,51,612,624,62,40,2,41,216,214,72,67])).
% 1.65/1.66 cnf(627,plain,
% 1.65/1.66 (P1(x6271,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(629,plain,
% 1.65/1.66 (P5(f9(f27(a3,a10,a11)),f26(a11))+~P1(f12(f27(a3,a10,a11),a10),a16)),
% 1.65/1.66 inference(scs_inference,[],[121,615,568,609,560,541,544,51,612,624,495,62,40,2,41,216,214,72,67,43])).
% 1.65/1.66 cnf(630,plain,
% 1.65/1.66 (~P5(f27(a3,a10,a11),f23(a10))+~P1(f12(f27(a3,a10,a11),a10),a16)+~P1(a10,a16)+~P1(f27(a3,a10,a11),a16)),
% 1.65/1.66 inference(scs_inference,[],[121,615,568,609,560,541,544,51,612,624,627,495,62,40,2,41,216,214,72,67,43,94])).
% 1.65/1.66 cnf(631,plain,
% 1.65/1.66 (P1(x6311,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(633,plain,
% 1.65/1.66 (P1(f19(f27(a3,a10,a11)),f24(f27(a3,a10,a11)))+~P1(f12(f27(a3,a10,a11),a10),a16)),
% 1.65/1.66 inference(scs_inference,[],[121,615,568,609,560,541,544,51,612,624,627,631,495,62,40,2,41,216,214,72,67,43,94,69])).
% 1.65/1.66 cnf(634,plain,
% 1.65/1.66 (P1(x6341,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(637,plain,
% 1.65/1.66 (P1(x6371,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(642,plain,
% 1.65/1.66 (P1(x6421,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(645,plain,
% 1.65/1.66 (P1(f12(f27(a3,a10,a11),a10),f24(f27(a3,a10,a11)))+~P1(f12(f27(a3,a10,a11),a10),a16)+~P1(f27(a3,a10,a11),a16)),
% 1.65/1.66 inference(scs_inference,[],[121,615,568,609,560,592,541,544,577,51,612,624,627,631,634,637,642,495,62,40,2,41,216,214,72,67,43,94,69,92,93,76,46,77])).
% 1.65/1.66 cnf(646,plain,
% 1.65/1.66 (P1(x6461,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(648,plain,
% 1.65/1.66 (P3(f6(f26(a11),x6481,f27(a3,a10,a11)),f6(f27(a3,a10,a11),x6481,f26(a11)))+~P1(f12(f27(a3,a10,a11),a10),a16)),
% 1.65/1.66 inference(scs_inference,[],[121,615,568,609,560,592,541,544,577,51,612,624,627,631,634,637,642,495,62,40,2,41,216,214,72,67,43,94,69,92,93,76,46,77,44])).
% 1.65/1.66 cnf(651,plain,
% 1.65/1.66 (P5(f19(f27(a3,a10,a11)),f27(a3,a10,a11))+~P1(f19(f27(a3,a10,a11)),a16)+~P1(f12(f27(a3,a10,a11),a10),a16)),
% 1.65/1.66 inference(scs_inference,[],[121,615,568,609,560,592,541,544,577,51,612,624,627,631,634,637,642,646,495,62,40,2,41,216,214,72,67,43,94,69,92,93,76,46,77,44,78])).
% 1.65/1.66 cnf(655,plain,
% 1.65/1.66 (~P2(f27(a3,a10,a11))),
% 1.65/1.66 inference(scs_inference,[],[51,623])).
% 1.65/1.66 cnf(656,plain,
% 1.65/1.66 (P1(x6561,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(657,plain,
% 1.65/1.66 (~P2(f26(a11))),
% 1.65/1.66 inference(scs_inference,[],[577,51,623,46])).
% 1.65/1.66 cnf(658,plain,
% 1.65/1.66 (~P3(f26(a11),a10)),
% 1.65/1.66 inference(scs_inference,[],[577,609,51,623,46,44])).
% 1.65/1.66 cnf(661,plain,
% 1.65/1.66 (E(f13(x6611,f27(a3,a10,a11)),f13(x6611,f26(a11)))),
% 1.65/1.66 inference(rename_variables,[],[532])).
% 1.65/1.66 cnf(667,plain,
% 1.65/1.66 (P1(f13(f27(a3,a10,a11),f26(a11)),f22(f27(a3,a10,a11),f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,611,568,577,609,51,623,46,44,47,40,42,41])).
% 1.65/1.66 cnf(669,plain,
% 1.65/1.66 (P3(f6(f26(a11),x6691,f27(a3,a10,a11)),f6(f27(a3,a10,a11),x6691,f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,611,568,577,609,51,656,623,46,44,47,40,42,41,648])).
% 1.65/1.66 cnf(670,plain,
% 1.65/1.66 (P1(x6701,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(671,plain,
% 1.65/1.66 (P1(f19(f27(a3,a10,a11)),f24(f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,611,568,577,609,51,656,670,623,46,44,47,40,42,41,648,633])).
% 1.65/1.66 cnf(672,plain,
% 1.65/1.66 (P1(x6721,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(673,plain,
% 1.65/1.66 (P5(f9(f27(a3,a10,a11)),f26(a11))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,611,568,577,609,51,656,670,672,623,46,44,47,40,42,41,648,633,629])).
% 1.65/1.66 cnf(674,plain,
% 1.65/1.66 (P1(x6741,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(675,plain,
% 1.65/1.66 (P5(f9(f27(a3,a10,a11)),f27(a3,a10,a11))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,611,568,577,609,51,656,670,672,674,623,46,44,47,40,42,41,648,633,629,626])).
% 1.65/1.66 cnf(676,plain,
% 1.65/1.66 (P1(x6761,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(677,plain,
% 1.65/1.66 (E(f13(x6771,f6(a3,a10,a11)),f13(x6771,f4(a11)))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,623,46,44,47,40,42,41,648,633,629,626,39])).
% 1.65/1.66 cnf(682,plain,
% 1.65/1.66 (E(f28(f6(a3,a10,a11)),f28(f4(a11)))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12])).
% 1.65/1.66 cnf(685,plain,
% 1.65/1.66 (~P2(x6851)+~P5(x6851,x6851)),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72])).
% 1.65/1.66 cnf(696,plain,
% 1.65/1.66 (E(f6(x6961,x6962,f6(a3,a10,a11)),f6(x6961,x6962,f4(a11)))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72,38,36,34,33,31,30,29,28,27,23])).
% 1.65/1.66 cnf(697,plain,
% 1.65/1.66 (E(f6(x6971,f6(a3,a10,a11),x6972),f6(x6971,f4(a11),x6972))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72,38,36,34,33,31,30,29,28,27,23,22])).
% 1.65/1.66 cnf(698,plain,
% 1.65/1.66 (E(f18(f6(a3,a10,a11)),f18(f4(a11)))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72,38,36,34,33,31,30,29,28,27,23,22,20])).
% 1.65/1.66 cnf(699,plain,
% 1.65/1.66 (E(f27(x6991,f6(a3,a10,a11),x6992),f27(x6991,f4(a11),x6992))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72,38,36,34,33,31,30,29,28,27,23,22,20,18])).
% 1.65/1.66 cnf(710,plain,
% 1.65/1.66 (E(f6(f6(a3,a10,a11),x7101,x7102),f6(f4(a11),x7101,x7102))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72,38,36,34,33,31,30,29,28,27,23,22,20,18,11,7,6,5,4,9,37,35,32,24,21])).
% 1.65/1.66 cnf(711,plain,
% 1.65/1.66 (E(f27(x7111,x7112,f6(a3,a10,a11)),f27(x7111,x7112,f4(a11)))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72,38,36,34,33,31,30,29,28,27,23,22,20,18,11,7,6,5,4,9,37,35,32,24,21,19])).
% 1.65/1.66 cnf(712,plain,
% 1.65/1.66 (E(f27(f6(a3,a10,a11),x7121,x7122),f27(f4(a11),x7121,x7122))),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72,38,36,34,33,31,30,29,28,27,23,22,20,18,11,7,6,5,4,9,37,35,32,24,21,19,17])).
% 1.65/1.66 cnf(715,plain,
% 1.65/1.66 (P5(f19(f27(a3,a10,a11)),f27(a3,a10,a11))+~P1(f19(f27(a3,a10,a11)),a16)),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72,38,36,34,33,31,30,29,28,27,23,22,20,18,11,7,6,5,4,9,37,35,32,24,21,19,17,14,13,651])).
% 1.65/1.66 cnf(716,plain,
% 1.65/1.66 (P1(x7161,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(717,plain,
% 1.65/1.66 (P1(f12(f27(a3,a10,a11),a10),f24(f27(a3,a10,a11)))+~P1(f27(a3,a10,a11),a16)),
% 1.65/1.66 inference(scs_inference,[],[532,661,554,566,575,619,587,611,568,577,609,51,656,670,672,674,676,716,623,46,44,47,40,42,41,648,633,629,626,39,26,25,16,15,12,10,8,72,38,36,34,33,31,30,29,28,27,23,22,20,18,11,7,6,5,4,9,37,35,32,24,21,19,17,14,13,651,645])).
% 1.65/1.66 cnf(748,plain,
% 1.65/1.66 (~P1(f12(f27(a3,a10,a11),a10),a16)+~P1(a10,a16)+~P5(f27(a3,a10,a11),f23(a10))),
% 1.65/1.66 inference(scs_inference,[],[51,630])).
% 1.65/1.66 cnf(752,plain,
% 1.65/1.66 (P1(f12(f27(a3,a10,a11),a10),f24(f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[51,717])).
% 1.65/1.66 cnf(753,plain,
% 1.65/1.66 (P1(x7531,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(754,plain,
% 1.65/1.66 (P5(f19(f27(a3,a10,a11)),f27(a3,a10,a11))),
% 1.65/1.66 inference(scs_inference,[],[51,753,717,715])).
% 1.65/1.66 cnf(755,plain,
% 1.65/1.66 (P1(x7551,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(756,plain,
% 1.65/1.66 (P3(f27(x7561,x7562,f26(a11)),f27(x7561,x7562,f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[561,113,51,753,717,715,44])).
% 1.65/1.66 cnf(759,plain,
% 1.65/1.66 (P1(x7591,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(760,plain,
% 1.65/1.66 (E(f27(x7601,f27(a3,a10,a11),f27(a3,a10,a11)),f27(x7601,f26(a11),f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[561,562,113,51,753,755,717,715,44,748,3])).
% 1.65/1.66 cnf(766,plain,
% 1.65/1.66 (~E(x7661,f12(f27(a3,a10,a11),a10))+~P5(f27(a3,a10,a11),f23(a10))),
% 1.65/1.66 inference(scs_inference,[],[561,562,697,669,113,51,753,755,759,717,715,44,748,3,45,40])).
% 1.65/1.66 cnf(776,plain,
% 1.65/1.66 (~P5(f27(a3,a10,a11),f23(a10))),
% 1.65/1.66 inference(equality_inference,[],[766])).
% 1.65/1.66 cnf(778,plain,
% 1.65/1.66 (E(f27(f27(a3,a10,a11),x7781,x7782),f27(f26(a11),x7781,x7782))),
% 1.65/1.66 inference(rename_variables,[],[563])).
% 1.65/1.66 cnf(781,plain,
% 1.65/1.66 (P3(f27(f26(a11),x7811,f26(a11)),f27(f27(a3,a10,a11),x7811,f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[563,778,756,699,577,3,32,44])).
% 1.65/1.66 cnf(782,plain,
% 1.65/1.66 (P3(f27(x7821,x7822,f26(a11)),f27(x7821,x7822,f27(a3,a10,a11)))),
% 1.65/1.66 inference(rename_variables,[],[756])).
% 1.65/1.66 cnf(783,plain,
% 1.65/1.66 (E(f27(f27(a3,a10,a11),x7831,x7832),f27(f26(a11),x7831,x7832))),
% 1.65/1.66 inference(rename_variables,[],[563])).
% 1.65/1.66 cnf(786,plain,
% 1.65/1.66 (E(f27(f26(a11),x7861,x7862),f27(f27(a3,a10,a11),x7861,x7862))),
% 1.65/1.66 inference(scs_inference,[],[121,563,778,783,756,699,698,577,3,32,44,40,2])).
% 1.65/1.66 cnf(787,plain,
% 1.65/1.66 (~E(f19(f23(a10)),f27(a3,a10,a11))),
% 1.65/1.66 inference(scs_inference,[],[121,563,778,783,756,699,698,776,518,577,3,32,44,40,2,42])).
% 1.65/1.66 cnf(789,plain,
% 1.65/1.66 (P1(f12(f27(a3,a10,a11),a10),f24(f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[121,752,563,778,783,756,699,539,698,776,518,577,3,32,44,40,2,42,41])).
% 1.65/1.66 cnf(790,plain,
% 1.65/1.66 (P5(f19(f27(a3,a10,a11)),f26(a11))),
% 1.65/1.66 inference(scs_inference,[],[121,754,752,563,778,783,756,699,539,698,776,518,577,495,3,32,44,40,2,42,41,43])).
% 1.65/1.66 cnf(791,plain,
% 1.65/1.66 (P5(f20(f27(a3,a10,a11),a10),f27(a3,a10,a11))),
% 1.65/1.66 inference(scs_inference,[],[121,754,752,563,778,783,756,699,539,698,776,518,577,495,3,32,44,40,2,42,41,43,514])).
% 1.65/1.66 cnf(793,plain,
% 1.65/1.66 (P3(f27(f27(a3,a10,a11),x7931,x7932),f27(f26(a11),x7931,x7932))+~P1(f27(f27(a3,a10,a11),x7931,x7932),a16)),
% 1.65/1.66 inference(scs_inference,[],[121,754,752,563,778,783,756,699,539,698,776,518,577,51,495,3,32,44,40,2,42,41,43,514,71])).
% 1.65/1.66 cnf(794,plain,
% 1.65/1.66 (P1(x7941,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(799,plain,
% 1.65/1.66 (~E(f9(f23(a10)),f27(a3,a10,a11))),
% 1.65/1.66 inference(scs_inference,[],[121,754,752,563,778,783,756,782,699,539,698,776,518,577,51,495,3,32,44,40,2,42,41,43,514,71,45,477])).
% 1.65/1.66 cnf(800,plain,
% 1.65/1.66 (~P1(f23(a10),a16)+~P5(f25(f27(a3,a10,a11),f27(a3,a10,a11)),f17(f23(a10)))),
% 1.65/1.66 inference(scs_inference,[],[121,754,752,563,778,783,756,782,699,539,698,776,518,577,51,794,495,3,32,44,40,2,42,41,43,514,71,45,477,98])).
% 1.65/1.66 cnf(823,plain,
% 1.65/1.66 (~P5(f25(f27(a3,a10,a11),f27(a3,a10,a11)),f17(f23(a10)))),
% 1.65/1.66 inference(scs_inference,[],[51,800])).
% 1.65/1.66 cnf(826,plain,
% 1.65/1.66 (P3(f27(f27(a3,a10,a11),x8261,x8262),f27(f26(a11),x8261,x8262))),
% 1.65/1.66 inference(scs_inference,[],[51,793])).
% 1.65/1.66 cnf(827,plain,
% 1.65/1.66 (P1(x8271,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(829,plain,
% 1.65/1.66 (P1(f13(f26(a11),f26(a11)),f22(f27(a3,a10,a11),f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[667,533,787,577,51,793,3,40])).
% 1.65/1.66 cnf(831,plain,
% 1.65/1.66 (~E(f27(a3,a10,a11),f19(f23(a10)))),
% 1.65/1.66 inference(scs_inference,[],[667,533,787,577,51,793,3,40,2])).
% 1.65/1.66 cnf(832,plain,
% 1.65/1.66 (P5(f9(f26(a11)),f27(a3,a10,a11))),
% 1.65/1.66 inference(scs_inference,[],[675,667,533,564,787,577,51,793,3,40,2,42])).
% 1.65/1.66 cnf(834,plain,
% 1.65/1.66 (P1(f18(x8341),f28(x8341))),
% 1.65/1.66 inference(rename_variables,[],[121])).
% 1.65/1.66 cnf(839,plain,
% 1.65/1.66 (~P1(f27(a3,a10,a11),a16)+~P5(f25(f27(a3,a10,a11),f23(a10)),f17(f23(a10)))),
% 1.65/1.66 inference(scs_inference,[],[121,675,658,667,533,564,787,682,776,577,51,827,793,3,40,2,42,41,216,214,98])).
% 1.65/1.66 cnf(840,plain,
% 1.65/1.66 (P1(x8401,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(841,plain,
% 1.65/1.66 (P1(x8411,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(843,plain,
% 1.65/1.66 (P4(f18(f5(x8431,x8432)))),
% 1.65/1.66 inference(scs_inference,[],[121,834,675,658,667,533,564,787,682,776,577,51,827,841,840,793,3,40,2,42,41,216,214,98,99])).
% 1.65/1.66 cnf(844,plain,
% 1.65/1.66 (P1(f18(x8441),f28(x8441))),
% 1.65/1.66 inference(rename_variables,[],[121])).
% 1.65/1.66 cnf(847,plain,
% 1.65/1.66 (P1(x8471,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(851,plain,
% 1.65/1.66 (P1(x8511,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(852,plain,
% 1.65/1.66 (P1(x8521,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(855,plain,
% 1.65/1.66 (P1(f9(f27(a3,a10,a11)),f24(f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[121,834,844,655,675,658,667,533,564,787,682,269,776,577,51,827,841,847,852,851,840,793,3,40,2,42,41,216,214,98,99,86,96,77])).
% 1.65/1.66 cnf(859,plain,
% 1.65/1.66 (~P5(f25(f26(a11),a10),f17(f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[121,834,844,655,675,658,667,533,564,787,682,550,269,776,577,51,827,841,847,852,851,840,793,3,40,2,42,41,216,214,98,99,86,96,77,43])).
% 1.65/1.66 cnf(895,plain,
% 1.65/1.66 (P1(x8951,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(898,plain,
% 1.65/1.66 (E(f6(x8981,x8982,f6(a3,a10,a11)),f6(x8981,x8982,f4(a11)))),
% 1.65/1.66 inference(rename_variables,[],[696])).
% 1.65/1.66 cnf(900,plain,
% 1.65/1.66 (E(f6(x9001,x9002,f4(a11)),f6(x9001,x9002,f6(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[696,898,710,657,51,69,3,2])).
% 1.65/1.66 cnf(901,plain,
% 1.65/1.66 (~P5(f25(f27(a3,a10,a11),a10),f17(f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,657,51,69,3,2,42])).
% 1.65/1.66 cnf(903,plain,
% 1.65/1.66 (P5(f20(f27(a3,a10,a11),a10),f26(a11))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,51,495,69,3,2,42,43])).
% 1.65/1.66 cnf(904,plain,
% 1.65/1.66 (~P5(f25(f27(a3,a10,a11),f23(a10)),f17(f23(a10)))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,51,895,495,69,3,2,42,43,839])).
% 1.65/1.66 cnf(905,plain,
% 1.65/1.66 (P1(x9051,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(910,plain,
% 1.65/1.66 (E(f25(f26(a11),x9101),f25(f27(a3,a10,a11),x9101))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,577,51,895,495,69,3,2,42,43,839,39,16,15,12,8])).
% 1.65/1.66 cnf(917,plain,
% 1.65/1.66 (E(f6(x9171,x9172,f26(a11)),f6(x9171,x9172,f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,577,51,895,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23])).
% 1.65/1.66 cnf(921,plain,
% 1.65/1.66 (E(f25(x9211,f26(a11)),f25(x9211,f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,577,51,895,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23,20,10,7,9])).
% 1.65/1.66 cnf(929,plain,
% 1.65/1.66 (E(f6(x9291,f26(a11),x9292),f6(x9291,f27(a3,a10,a11),x9292))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,577,51,895,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23,20,10,7,9,37,36,34,33,31,29,24,22])).
% 1.65/1.66 cnf(930,plain,
% 1.65/1.66 (E(f27(x9301,x9302,f26(a11)),f27(x9301,x9302,f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,577,51,895,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23,20,10,7,9,37,36,34,33,31,29,24,22,19])).
% 1.65/1.66 cnf(931,plain,
% 1.65/1.66 (E(f27(x9311,f26(a11),x9312),f27(x9311,f27(a3,a10,a11),x9312))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,577,51,895,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23,20,10,7,9,37,36,34,33,31,29,24,22,19,18])).
% 1.65/1.66 cnf(935,plain,
% 1.65/1.66 (E(f22(x9351,f26(a11)),f22(x9351,f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,577,51,895,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23,20,10,7,9,37,36,34,33,31,29,24,22,19,18,14,13,11,6])).
% 1.65/1.66 cnf(937,plain,
% 1.65/1.66 (E(f17(f26(a11)),f17(f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[859,696,898,710,548,791,657,577,51,895,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23,20,10,7,9,37,36,34,33,31,29,24,22,19,18,14,13,11,6,5,4])).
% 1.65/1.66 cnf(938,plain,
% 1.65/1.66 (~P1(f4(f13(x9381,x9381)),a16)+P1(f4(f13(x9381,x9381)),f24(f23(x9381)))),
% 1.65/1.66 inference(scs_inference,[],[468,859,696,898,710,548,791,657,577,51,895,905,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23,20,10,7,9,37,36,34,33,31,29,24,22,19,18,14,13,11,6,5,4,86])).
% 1.65/1.66 cnf(944,plain,
% 1.65/1.66 (P1(x9441,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(947,plain,
% 1.65/1.66 (P1(x9471,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(954,plain,
% 1.65/1.66 (P5(f12(f27(a3,a10,a11),a10),f26(a11))+P5(f9(f27(a3,a10,a11)),f9(f27(a3,a10,a11)))+~P1(f12(f27(a3,a10,a11),a10),a16)+~P1(f26(a11),a16)),
% 1.65/1.66 inference(scs_inference,[],[170,468,843,671,859,673,826,696,898,710,548,789,791,657,528,539,577,51,895,905,944,947,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23,20,10,7,9,37,36,34,33,31,29,24,22,19,18,14,13,11,6,5,4,86,35,41,67,92,105,46,47,45,78])).
% 1.65/1.66 cnf(957,plain,
% 1.65/1.66 (~E(f9(f27(a3,a10,a11)),f26(a11))+P5(f9(f27(a3,a10,a11)),f9(f27(a3,a10,a11)))+~P1(f26(a11),a16)),
% 1.65/1.66 inference(scs_inference,[],[170,468,843,671,859,673,826,696,898,710,548,789,791,657,528,539,577,113,51,895,905,944,947,495,69,3,2,42,43,839,39,16,15,12,8,38,30,28,27,26,25,23,20,10,7,9,37,36,34,33,31,29,24,22,19,18,14,13,11,6,5,4,86,35,41,67,92,105,46,47,45,78,44])).
% 1.65/1.66 cnf(963,plain,
% 1.65/1.66 (P1(f4(f13(x9631,x9631)),f24(f23(x9631)))),
% 1.65/1.66 inference(scs_inference,[],[51,938])).
% 1.65/1.66 cnf(964,plain,
% 1.65/1.66 (P1(x9641,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(971,plain,
% 1.65/1.66 (P3(f6(f26(a11),f27(a3,a10,a11),f27(a3,a10,a11)),f6(f27(a3,a10,a11),f26(a11),f26(a11)))),
% 1.65/1.66 inference(scs_inference,[],[786,929,930,931,781,669,51,938,3,45,44])).
% 1.65/1.66 cnf(974,plain,
% 1.65/1.66 (~E(f27(a3,a10,a11),f9(f23(a10)))),
% 1.65/1.66 inference(scs_inference,[],[786,929,930,931,781,799,669,51,938,3,45,44,2])).
% 1.65/1.66 cnf(975,plain,
% 1.65/1.66 (~P5(f25(f26(a11),f23(a10)),f17(f23(a10)))),
% 1.65/1.66 inference(scs_inference,[],[786,929,930,931,910,781,904,799,669,51,938,3,45,44,2,42])).
% 1.65/1.66 cnf(978,plain,
% 1.65/1.66 (P1(x9781,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(983,plain,
% 1.65/1.66 (P5(f12(f27(a3,a10,a11),a10),f26(a11))+~E(f9(f27(a3,a10,a11)),f26(a11))+~P1(f27(a3,a10,a11),a16)+~P1(f12(f27(a3,a10,a11),a10),a16)),
% 1.65/1.66 inference(scs_inference,[],[855,786,929,930,931,910,781,904,799,564,669,619,526,539,51,964,978,938,3,45,44,2,42,957,41,43,685,92])).
% 1.65/1.66 cnf(999,plain,
% 1.65/1.66 (P5(f9(f27(a3,a10,a11)),f9(f27(a3,a10,a11)))+~P1(f26(a11),a16)+P5(f12(f27(a3,a10,a11),a10),f26(a11))),
% 1.65/1.66 inference(scs_inference,[],[51,954])).
% 1.65/1.66 cnf(1009,plain,
% 1.65/1.66 (E(f27(x10091,x10092,f4(a11)),f27(x10091,x10092,f6(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[917,900,711,677,831,971,611,113,495,3,45,44,40,2])).
% 1.65/1.66 cnf(1010,plain,
% 1.65/1.66 (P5(f19(f26(a11)),f26(a11))),
% 1.65/1.66 inference(scs_inference,[],[917,900,711,558,677,831,971,790,611,113,495,3,45,44,40,2,42])).
% 1.65/1.66 cnf(1013,plain,
% 1.65/1.66 (P1(x10131,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(1015,plain,
% 1.65/1.66 (P1(x10151,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(1017,plain,
% 1.65/1.66 (~P1(f12(f27(a3,a10,a11),a10),a16)+P5(f12(f27(a3,a10,a11),a10),f26(a11))+~E(f9(f27(a3,a10,a11)),f26(a11))),
% 1.65/1.66 inference(scs_inference,[],[901,917,900,711,558,677,831,971,937,790,611,113,51,1013,1015,495,3,45,44,40,2,42,43,999,65,983])).
% 1.65/1.66 cnf(1040,plain,
% 1.65/1.66 (E(f27(f6(a3,a10,a11),x10401,x10402),f27(f4(a11),x10401,x10402))),
% 1.65/1.66 inference(rename_variables,[],[712])).
% 1.65/1.66 cnf(1043,plain,
% 1.65/1.66 (P5(f20(f26(a11),a10),f26(a11))),
% 1.65/1.66 inference(scs_inference,[],[963,1009,712,557,903,377,3,40,42])).
% 1.65/1.66 cnf(1045,plain,
% 1.65/1.66 (P1(f13(f26(a11),f26(a11)),f22(f27(a3,a10,a11),f27(a3,a10,a11)))),
% 1.65/1.66 inference(scs_inference,[],[963,829,1009,712,557,935,903,377,3,40,42,41])).
% 1.65/1.66 cnf(1048,plain,
% 1.65/1.66 (~P1(f23(a10),a16)+~P1(f27(a3,a10,a11),f24(f23(a10)))),
% 1.65/1.66 inference(scs_inference,[],[963,829,1009,712,557,935,1010,903,377,776,119,577,51,3,40,42,41,43,78])).
% 1.65/1.66 cnf(1049,plain,
% 1.65/1.66 (P1(x10491,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(1053,plain,
% 1.65/1.66 (P1(x10531,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(1055,plain,
% 1.65/1.66 (P1(x10551,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(1058,plain,
% 1.65/1.66 (P1(x10581,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(1060,plain,
% 1.65/1.66 (P1(f9(f26(a11)),f24(f27(a3,a10,a11)))+~P1(f27(a3,a10,a11),a16)),
% 1.65/1.66 inference(scs_inference,[],[963,829,1009,712,557,935,974,1010,975,832,903,655,377,776,119,577,51,1049,1053,1055,1058,3,40,42,41,43,78,1017,95,76,77])).
% 1.65/1.66 cnf(1063,plain,
% 1.65/1.66 (E(f27(f4(a11),x10631,x10632),f27(f6(a3,a10,a11),x10631,x10632))),
% 1.65/1.66 inference(scs_inference,[],[963,829,1009,712,1040,557,935,974,1010,975,832,903,655,377,776,119,577,51,1049,1053,1055,1058,3,40,42,41,43,78,1017,95,76,77,2])).
% 1.65/1.66 cnf(1074,plain,
% 1.65/1.66 (P1(x10741,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(1076,plain,
% 1.65/1.66 (P1(x10761,a16)),
% 1.65/1.66 inference(rename_variables,[],[51])).
% 1.65/1.66 cnf(1077,plain,
% 1.65/1.66 (~P1(a10,a16)),
% 1.65/1.66 inference(scs_inference,[],[1045,1063,567,760,602,1043,921,823,577,51,1074,1076,3,42,41,43,1060,1048,86])).
% 1.65/1.66 cnf(1112,plain,
% 1.65/1.66 ($false),
% 1.65/1.66 inference(scs_inference,[],[1077,51]),
% 1.65/1.66 ['proof']).
% 1.65/1.66 % SZS output end Proof
% 1.65/1.66 % Total time :1.060000s
%------------------------------------------------------------------------------