TSTP Solution File: SET663+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET663+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 : n017.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 0.83s 0.97s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET663+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Aug 26 15:55:26 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.52 start to proof:theBenchmark
% 0.83/0.95 %-------------------------------------------
% 0.83/0.95 % File :CSE---1.6
% 0.83/0.95 % Problem :theBenchmark
% 0.83/0.95 % Transform :cnf
% 0.83/0.95 % Format :tptp:raw
% 0.83/0.95 % Command :java -jar mcs_scs.jar %d %s
% 0.83/0.95
% 0.83/0.95 % Result :Theorem 0.380000s
% 0.83/0.95 % Output :CNFRefutation 0.380000s
% 0.83/0.95 %-------------------------------------------
% 0.83/0.95 %--------------------------------------------------------------------------
% 0.83/0.95 % File : SET663+3 : TPTP v8.1.2. Released v2.2.0.
% 0.83/0.95 % Domain : Set Theory (Relations)
% 0.83/0.95 % Problem : R (X to Y) is (empty set to Y) => R is empty set
% 0.83/0.95 % Version : [Wor90] axioms : Reduced > Incomplete.
% 0.83/0.95 % English : If a relation R from X to Y is a relation from empty set to Y
% 0.83/0.95 % then R is the empty set.
% 0.83/0.95
% 0.83/0.95 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 0.83/0.95 % : [Wor90] Woronowicz (1990), Relations Defined on Sets
% 0.83/0.95 % Source : [ILF]
% 0.83/0.95 % Names : RELSET_1 (26) [Wor90]
% 0.83/0.95
% 0.83/0.95 % Status : Theorem
% 0.83/0.95 % 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 v5.5.0, 0.33 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
% 0.83/0.95 % Syntax : Number of formulae : 35 ( 4 unt; 0 def)
% 0.83/0.95 % Number of atoms : 124 ( 12 equ)
% 0.83/0.95 % Maximal formula atoms : 7 ( 3 avg)
% 0.83/0.95 % Number of connectives : 94 ( 5 ~; 1 |; 9 &)
% 0.83/0.95 % ( 9 <=>; 70 =>; 0 <=; 0 <~>)
% 0.83/0.95 % Maximal formula depth : 11 ( 6 avg)
% 0.83/0.95 % Maximal term depth : 3 ( 1 avg)
% 0.83/0.95 % Number of predicates : 7 ( 6 usr; 0 prp; 1-2 aty)
% 0.83/0.95 % Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% 0.83/0.95 % Number of variables : 70 ( 64 !; 6 ?)
% 0.83/0.95 % SPC : FOF_THM_RFO_SEQ
% 0.83/0.95
% 0.83/0.95 % Comments :
% 0.83/0.95 %--------------------------------------------------------------------------
% 0.83/0.95 %---- line(boole - th(30),1909435)
% 0.83/0.95 fof(p1,axiom,
% 0.83/0.95 ! [B] :
% 0.83/0.95 ( ilf_type(B,set_type)
% 0.83/0.95 => ( subset(B,empty_set)
% 0.83/0.95 => B = empty_set ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(relat_1 - th(64),1918818)
% 0.83/0.96 fof(p2,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,binary_relation_type)
% 0.83/0.96 => ( ( domain_of(B) = empty_set
% 0.83/0.96 | range_of(B) = empty_set )
% 0.83/0.96 => B = empty_set ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(relset_1 - th(12),1916203)
% 0.83/0.96 fof(p3,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ! [D] :
% 0.83/0.96 ( ilf_type(D,relation_type(B,C))
% 0.83/0.96 => ( subset(domain_of(D),B)
% 0.83/0.96 & subset(range_of(D),C) ) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(hidden - axiom249,1832636)
% 0.83/0.96 fof(p4,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ~ member(B,empty_set) ) ).
% 0.83/0.96
% 0.83/0.96 %---- declaration(line(hidden - axiom249,1832636)) Part 1
% 0.83/0.96 fof(p5a,axiom,
% 0.83/0.96 empty(empty_set) ).
% 0.83/0.96
% 0.83/0.96 %---- declaration(line(hidden - axiom249,1832636)) Part 2
% 0.83/0.96 fof(p5b,axiom,
% 0.83/0.96 type(empty_set,set_type) ).
% 0.83/0.96
% 0.83/0.96 %---- line(relset_1 - df(1),1916080)
% 0.83/0.96 fof(p6,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ( ! [D] :
% 0.83/0.96 ( ilf_type(D,subset_type(cross_product(B,C)))
% 0.83/0.96 => ilf_type(D,relation_type(B,C)) )
% 0.83/0.96 & ! [E] :
% 0.83/0.96 ( ilf_type(E,relation_type(B,C))
% 0.83/0.96 => ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- type_nonempty(line(relset_1 - df(1),1916080))
% 0.83/0.96 fof(p7,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ? [D] : ilf_type(D,relation_type(C,B)) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(relat_1 - df(2),1917780)
% 0.83/0.96 fof(p8,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,binary_relation_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,binary_relation_type)
% 0.83/0.96 => ( B = C
% 0.83/0.96 <=> ! [D] :
% 0.83/0.96 ( ilf_type(D,set_type)
% 0.83/0.96 => ! [E] :
% 0.83/0.96 ( ilf_type(E,set_type)
% 0.83/0.96 => ( member(ordered_pair(D,E),B)
% 0.83/0.96 <=> member(ordered_pair(D,E),C) ) ) ) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- declaration(op(domain_of,1,function))
% 0.83/0.96 fof(p9,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,binary_relation_type)
% 0.83/0.96 => ilf_type(domain_of(B),set_type) ) ).
% 0.83/0.96
% 0.83/0.96 %---- declaration(op(cross_product,2,function))
% 0.83/0.96 fof(p10,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ilf_type(cross_product(B,C),set_type) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- declaration(op(range_of,1,function))
% 0.83/0.96 fof(p11,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,binary_relation_type)
% 0.83/0.96 => ilf_type(range_of(B),set_type) ) ).
% 0.83/0.96
% 0.83/0.96 %---- declaration(op(ordered_pair,2,function))
% 0.83/0.96 fof(p12,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ilf_type(ordered_pair(B,C),set_type) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(relat_1 - axiom250,1917641)
% 0.83/0.96 fof(p13,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ( ilf_type(B,binary_relation_type)
% 0.83/0.96 <=> ( relation_like(B)
% 0.83/0.96 & ilf_type(B,set_type) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- type_nonempty(line(relat_1 - axiom250,1917641))
% 0.83/0.96 fof(p14,axiom,
% 0.83/0.96 ? [B] : ilf_type(B,binary_relation_type) ).
% 0.83/0.96
% 0.83/0.96 %---- line(hidden - axiom251,1832648)
% 0.83/0.96 fof(p15,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ( ilf_type(C,subset_type(B))
% 0.83/0.96 <=> ilf_type(C,member_type(power_set(B))) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- type_nonempty(line(hidden - axiom251,1832648))
% 0.83/0.96 fof(p16,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ? [C] : ilf_type(C,subset_type(B)) ) ).
% 0.83/0.96
% 0.83/0.96 %---- property(symmetry,op(=,2,predicate))
% 0.83/0.96 fof(p17,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,binary_relation_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,binary_relation_type)
% 0.83/0.96 => ( B = C
% 0.83/0.96 => C = B ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- property(reflexivity,op(=,2,predicate))
% 0.83/0.96 fof(p18,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,binary_relation_type)
% 0.83/0.96 => B = B ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(tarski - df(3),1832749)
% 0.83/0.96 fof(p19,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ( subset(B,C)
% 0.83/0.96 <=> ! [D] :
% 0.83/0.96 ( ilf_type(D,set_type)
% 0.83/0.96 => ( member(D,B)
% 0.83/0.96 => member(D,C) ) ) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- property(reflexivity,op(subset,2,predicate))
% 0.83/0.96 fof(p20,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => subset(B,B) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(hidden - axiom253,1832628)
% 0.83/0.96 fof(p21,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ( empty(B)
% 0.83/0.96 <=> ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ~ member(C,B) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(hidden - axiom255,1832644)
% 0.83/0.96 fof(p22,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ( member(B,power_set(C))
% 0.83/0.96 <=> ! [D] :
% 0.83/0.96 ( ilf_type(D,set_type)
% 0.83/0.96 => ( member(D,B)
% 0.83/0.96 => member(D,C) ) ) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- declaration(line(hidden - axiom255,1832644))
% 0.83/0.96 fof(p23,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ( ~ empty(power_set(B))
% 0.83/0.96 & ilf_type(power_set(B),set_type) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(hidden - axiom256,1832640)
% 0.83/0.96 fof(p24,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ( ~ empty(C)
% 0.83/0.96 & ilf_type(C,set_type) )
% 0.83/0.96 => ( ilf_type(B,member_type(C))
% 0.83/0.96 <=> member(B,C) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- type_nonempty(line(hidden - axiom256,1832640))
% 0.83/0.96 fof(p25,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ( ~ empty(B)
% 0.83/0.96 & ilf_type(B,set_type) )
% 0.83/0.96 => ? [C] : ilf_type(C,member_type(B)) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(relat_1 - df(1),1917627)
% 0.83/0.96 fof(p26,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ( relation_like(B)
% 0.83/0.96 <=> ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ( member(C,B)
% 0.83/0.96 => ? [D] :
% 0.83/0.96 ( ilf_type(D,set_type)
% 0.83/0.96 & ? [E] :
% 0.83/0.96 ( ilf_type(E,set_type)
% 0.83/0.96 & C = ordered_pair(D,E) ) ) ) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- conditional_cluster(axiom257,relation_like)
% 0.83/0.96 fof(p27,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ( empty(B)
% 0.83/0.96 & ilf_type(B,set_type) )
% 0.83/0.96 => relation_like(B) ) ).
% 0.83/0.96
% 0.83/0.96 %---- conditional_cluster(axiom258,relation_like)
% 0.83/0.96 fof(p28,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.96 ( ilf_type(C,set_type)
% 0.83/0.96 => ! [D] :
% 0.83/0.96 ( ilf_type(D,subset_type(cross_product(B,C)))
% 0.83/0.96 => relation_like(D) ) ) ) ).
% 0.83/0.96
% 0.83/0.96 %---- line(relset_1 - axiom262,1916330)
% 0.83/0.96 fof(p29,axiom,
% 0.83/0.96 ! [B] :
% 0.83/0.96 ( ilf_type(B,set_type)
% 0.83/0.96 => ! [C] :
% 0.83/0.97 ( ilf_type(C,set_type)
% 0.83/0.97 => ! [D] :
% 0.83/0.97 ( ilf_type(D,relation_type(B,C))
% 0.83/0.97 => domain(B,C,D) = domain_of(D) ) ) ) ).
% 0.83/0.97
% 0.83/0.97 %---- declaration(line(relset_1 - axiom262,1916330))
% 0.83/0.97 fof(p30,axiom,
% 0.83/0.97 ! [B] :
% 0.83/0.97 ( ilf_type(B,set_type)
% 0.83/0.97 => ! [C] :
% 0.83/0.97 ( ilf_type(C,set_type)
% 0.83/0.97 => ! [D] :
% 0.83/0.97 ( ilf_type(D,relation_type(B,C))
% 0.83/0.97 => ilf_type(domain(B,C,D),subset_type(B)) ) ) ) ).
% 0.83/0.97
% 0.83/0.97 %---- line(relset_1 - axiom263,1916334)
% 0.83/0.97 fof(p31,axiom,
% 0.83/0.97 ! [B] :
% 0.83/0.97 ( ilf_type(B,set_type)
% 0.83/0.97 => ! [C] :
% 0.83/0.97 ( ilf_type(C,set_type)
% 0.83/0.97 => ! [D] :
% 0.83/0.97 ( ilf_type(D,relation_type(B,C))
% 0.83/0.97 => range(B,C,D) = range_of(D) ) ) ) ).
% 0.83/0.97
% 0.83/0.97 %---- declaration(line(relset_1 - axiom263,1916334))
% 0.83/0.97 fof(p32,axiom,
% 0.83/0.97 ! [B] :
% 0.83/0.97 ( ilf_type(B,set_type)
% 0.83/0.97 => ! [C] :
% 0.83/0.97 ( ilf_type(C,set_type)
% 0.83/0.97 => ! [D] :
% 0.83/0.97 ( ilf_type(D,relation_type(B,C))
% 0.83/0.97 => ilf_type(range(B,C,D),subset_type(C)) ) ) ) ).
% 0.83/0.97
% 0.83/0.97 %---- declaration(set)
% 0.83/0.97 fof(p33,axiom,
% 0.83/0.97 ! [B] : ilf_type(B,set_type) ).
% 0.83/0.97
% 0.83/0.97 %---- line(relset_1 - th(26),1916508)
% 0.83/0.97 fof(prove_relset_1_26,conjecture,
% 0.83/0.97 ! [B] :
% 0.83/0.97 ( ilf_type(B,set_type)
% 0.83/0.97 => ! [C] :
% 0.83/0.97 ( ilf_type(C,set_type)
% 0.83/0.97 => ! [D] :
% 0.83/0.97 ( ilf_type(D,relation_type(B,C))
% 0.83/0.97 => ( ilf_type(D,relation_type(empty_set,C))
% 0.83/0.97 => D = empty_set ) ) ) ) ).
% 0.83/0.97
% 0.83/0.97 %--------------------------------------------------------------------------
% 0.83/0.97 %-------------------------------------------
% 0.83/0.97 % Proof found
% 0.83/0.97 % SZS status Theorem for theBenchmark
% 0.83/0.97 % SZS output start Proof
% 0.83/0.97 %ClaNum:108(EqnAxiom:48)
% 0.83/0.97 %VarNum:241(SingletonVarNum:76)
% 0.83/0.97 %MaxLitNum:6
% 0.83/0.97 %MaxfuncDepth:2
% 0.83/0.97 %SharedTerms:17
% 0.83/0.97 %goalClause: 55 56 57
% 0.83/0.97 %singleGoalClaCount:3
% 0.83/0.97 [49]P1(a1)
% 0.83/0.97 [50]P2(a6,a2)
% 0.83/0.97 [53]P3(a1,a16)
% 0.83/0.97 [57]~E(a12,a1)
% 0.83/0.97 [55]P2(a12,f17(a1,a11))
% 0.83/0.97 [56]P2(a12,f17(a7,a11))
% 0.83/0.97 [54]P2(x541,a16)
% 0.83/0.97 [61]P6(x611,x611)+~P2(x611,a16)
% 0.83/0.97 [67]~P5(x671,a1)+~P2(x671,a16)
% 0.83/0.97 [62]~P2(x621,a16)+~P1(f19(x621))
% 0.83/0.97 [74]~P2(x741,a16)+P2(f21(x741),f28(x741))
% 0.83/0.97 [60]~P1(x601)+P4(x601)+~P2(x601,a16)
% 0.83/0.97 [66]~P4(x661)+~P2(x661,a16)+P2(x661,a2)
% 0.83/0.97 [68]~P2(x681,a16)+~P6(x681,a1)+E(x681,a1)
% 0.83/0.97 [71]P4(x711)+~P2(x711,a16)+~P2(x711,a2)
% 0.83/0.97 [58]~P2(x581,a2)+E(x581,a1)+~E(f3(x581),a1)
% 0.83/0.97 [59]~P2(x591,a2)+E(x591,a1)+~E(f18(x591),a1)
% 0.83/0.97 [72]P1(x721)+P5(f20(x721),x721)+~P2(x721,a16)
% 0.83/0.97 [73]P4(x731)+P5(f8(x731),x731)+~P2(x731,a16)
% 0.83/0.97 [75]P1(x751)+P2(f23(x751),f25(x751))+~P2(x751,a16)
% 0.83/0.97 [89]~P2(x892,a16)+~P2(x891,a16)+P2(f14(x891,x892),f17(x892,x891))
% 0.83/0.97 [76]~P1(x761)+~P5(x762,x761)+~P2(x762,a16)+~P2(x761,a16)
% 0.83/0.97 [85]P6(x851,x852)+P5(f22(x851,x852),x851)+~P2(x852,a16)+~P2(x851,a16)
% 0.83/0.97 [87]P5(f24(x871,x872),x871)+~P2(x872,a16)+~P2(x871,a16)+P5(x871,f19(x872))
% 0.83/0.97 [93]P6(x931,x932)+~P2(x932,a16)+~P2(x931,a16)+~P5(f22(x931,x932),x932)
% 0.83/0.97 [95]~P2(x952,a16)+~P2(x951,a16)+~P5(f24(x951,x952),x952)+P5(x951,f19(x952))
% 0.83/0.97 [88]~P2(x882,a16)+~P2(x881,a16)+~P2(x881,f28(x882))+P2(x881,f25(f19(x882)))
% 0.83/0.97 [92]~P2(x922,a16)+~P2(x921,a16)+P2(x921,f28(x922))+~P2(x921,f25(f19(x922)))
% 0.83/0.97 [96]~P2(x962,a16)+~P2(x961,f17(x962,x963))+P6(f3(x961),x962)+~P2(x963,a16)
% 0.83/0.97 [97]~P2(x972,a16)+~P2(x971,f17(x973,x972))+P6(f18(x971),x972)+~P2(x973,a16)
% 0.83/0.97 [101]~P2(x1012,a16)+~P2(x1011,a16)+~P2(x1013,f17(x1011,x1012))+E(f5(x1011,x1012,x1013),f3(x1013))
% 0.83/0.97 [102]~P2(x1022,a16)+~P2(x1021,a16)+~P2(x1023,f17(x1021,x1022))+E(f27(x1021,x1022,x1023),f18(x1023))
% 0.83/0.97 [105]~P2(x1052,a16)+~P2(x1051,a16)+~P2(x1053,f17(x1051,x1052))+P2(f5(x1051,x1052,x1053),f28(x1051))
% 0.83/0.97 [106]~P2(x1062,a16)+~P2(x1061,a16)+~P2(x1063,f17(x1061,x1062))+P2(f27(x1061,x1062,x1063),f28(x1062))
% 0.83/0.97 [100]P4(x1001)+~P2(x1002,a16)+~P2(x1003,a16)+~P2(x1001,f28(f4(x1003,x1002)))
% 0.83/0.97 [103]~P2(x1033,a16)+~P2(x1032,a16)+~P2(x1031,f17(x1032,x1033))+P2(x1031,f28(f4(x1032,x1033)))
% 0.83/0.97 [104]~P2(x1043,a16)+~P2(x1042,a16)+P2(x1041,f17(x1042,x1043))+~P2(x1041,f28(f4(x1042,x1043)))
% 0.83/0.97 [81]~P5(x812,x811)+P1(x811)+~P2(x811,a16)+~P2(x812,a16)+P2(x812,f25(x811))
% 0.83/0.97 [82]P1(x821)+P5(x822,x821)+~P2(x821,a16)+~P2(x822,a16)+~P2(x822,f25(x821))
% 0.83/0.97 [99]~P4(x991)+~P5(x992,x991)+~P2(x991,a16)+~P2(x992,a16)+E(f26(f9(x991,x992),f10(x991,x992)),x992)
% 0.83/0.97 [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)
% 0.83/0.97 [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)
% 0.83/0.97 [84]P4(x841)+~P2(x841,a16)+~P2(x843,a16)+~P2(x842,a16)+~E(f8(x841),f26(x842,x843))
% 0.83/0.97 [94]~P5(x941,x943)+P5(x941,x942)+~P6(x943,x942)+~P2(x941,a16)+~P2(x942,a16)+~P2(x943,a16)
% 0.83/0.97 [98]P5(x981,x982)+~P5(x981,x983)+~P2(x981,a16)+~P2(x982,a16)+~P2(x983,a16)+~P5(x983,f19(x982))
% 0.83/0.97 %EqnAxiom
% 0.83/0.97 [1]E(x11,x11)
% 0.83/0.97 [2]E(x22,x21)+~E(x21,x22)
% 0.83/0.97 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.83/0.97 [4]~E(x41,x42)+E(f17(x41,x43),f17(x42,x43))
% 0.83/0.97 [5]~E(x51,x52)+E(f17(x53,x51),f17(x53,x52))
% 0.83/0.97 [6]~E(x61,x62)+E(f26(x61,x63),f26(x62,x63))
% 0.83/0.97 [7]~E(x71,x72)+E(f26(x73,x71),f26(x73,x72))
% 0.83/0.97 [8]~E(x81,x82)+E(f3(x81),f3(x82))
% 0.83/0.97 [9]~E(x91,x92)+E(f18(x91),f18(x92))
% 0.83/0.97 [10]~E(x101,x102)+E(f19(x101),f19(x102))
% 0.83/0.97 [11]~E(x111,x112)+E(f28(x111),f28(x112))
% 0.83/0.97 [12]~E(x121,x122)+E(f4(x121,x123),f4(x122,x123))
% 0.83/0.97 [13]~E(x131,x132)+E(f4(x133,x131),f4(x133,x132))
% 0.83/0.97 [14]~E(x141,x142)+E(f5(x141,x143,x144),f5(x142,x143,x144))
% 0.83/0.97 [15]~E(x151,x152)+E(f5(x153,x151,x154),f5(x153,x152,x154))
% 0.83/0.97 [16]~E(x161,x162)+E(f5(x163,x164,x161),f5(x163,x164,x162))
% 0.83/0.97 [17]~E(x171,x172)+E(f20(x171),f20(x172))
% 0.83/0.97 [18]~E(x181,x182)+E(f8(x181),f8(x182))
% 0.83/0.97 [19]~E(x191,x192)+E(f24(x191,x193),f24(x192,x193))
% 0.83/0.97 [20]~E(x201,x202)+E(f24(x203,x201),f24(x203,x202))
% 0.83/0.97 [21]~E(x211,x212)+E(f15(x211,x213),f15(x212,x213))
% 0.83/0.97 [22]~E(x221,x222)+E(f15(x223,x221),f15(x223,x222))
% 0.83/0.97 [23]~E(x231,x232)+E(f21(x231),f21(x232))
% 0.83/0.97 [24]~E(x241,x242)+E(f9(x241,x243),f9(x242,x243))
% 0.83/0.97 [25]~E(x251,x252)+E(f9(x253,x251),f9(x253,x252))
% 0.83/0.97 [26]~E(x261,x262)+E(f23(x261),f23(x262))
% 0.83/0.97 [27]~E(x271,x272)+E(f25(x271),f25(x272))
% 0.83/0.97 [28]~E(x281,x282)+E(f10(x281,x283),f10(x282,x283))
% 0.83/0.97 [29]~E(x291,x292)+E(f10(x293,x291),f10(x293,x292))
% 0.83/0.97 [30]~E(x301,x302)+E(f13(x301,x303),f13(x302,x303))
% 0.83/0.97 [31]~E(x311,x312)+E(f13(x313,x311),f13(x313,x312))
% 0.83/0.97 [32]~E(x321,x322)+E(f27(x321,x323,x324),f27(x322,x323,x324))
% 0.83/0.97 [33]~E(x331,x332)+E(f27(x333,x331,x334),f27(x333,x332,x334))
% 0.83/0.97 [34]~E(x341,x342)+E(f27(x343,x344,x341),f27(x343,x344,x342))
% 0.83/0.97 [35]~E(x351,x352)+E(f14(x351,x353),f14(x352,x353))
% 0.83/0.97 [36]~E(x361,x362)+E(f14(x363,x361),f14(x363,x362))
% 0.83/0.97 [37]~E(x371,x372)+E(f22(x371,x373),f22(x372,x373))
% 0.83/0.97 [38]~E(x381,x382)+E(f22(x383,x381),f22(x383,x382))
% 0.83/0.97 [39]~P1(x391)+P1(x392)+~E(x391,x392)
% 0.83/0.97 [40]P2(x402,x403)+~E(x401,x402)+~P2(x401,x403)
% 0.83/0.97 [41]P2(x413,x412)+~E(x411,x412)+~P2(x413,x411)
% 0.83/0.97 [42]~P4(x421)+P4(x422)+~E(x421,x422)
% 0.83/0.97 [43]P5(x432,x433)+~E(x431,x432)+~P5(x431,x433)
% 0.83/0.97 [44]P5(x443,x442)+~E(x441,x442)+~P5(x443,x441)
% 0.83/0.97 [45]P3(x452,x453)+~E(x451,x452)+~P3(x451,x453)
% 0.83/0.97 [46]P3(x463,x462)+~E(x461,x462)+~P3(x463,x461)
% 0.83/0.97 [47]P6(x472,x473)+~E(x471,x472)+~P6(x471,x473)
% 0.83/0.97 [48]P6(x483,x482)+~E(x481,x482)+~P6(x483,x481)
% 0.83/0.97
% 0.83/0.97 %-------------------------------------------
% 0.83/0.97 cnf(109,plain,
% 0.83/0.97 (~P5(x1091,a1)),
% 0.83/0.97 inference(scs_inference,[],[54,67])).
% 0.83/0.97 cnf(110,plain,
% 0.83/0.97 (P6(x1101,x1101)),
% 0.83/0.97 inference(scs_inference,[],[54,67,61])).
% 0.83/0.97 cnf(111,plain,
% 0.83/0.97 (P4(a6)),
% 0.83/0.97 inference(scs_inference,[],[54,50,67,61,71])).
% 0.83/0.97 cnf(112,plain,
% 0.83/0.97 (P2(x1121,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(114,plain,
% 0.83/0.97 (P4(a1)),
% 0.83/0.97 inference(scs_inference,[],[54,112,49,50,67,61,71,60])).
% 0.83/0.97 cnf(115,plain,
% 0.83/0.97 (P2(x1151,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(118,plain,
% 0.83/0.97 (~P1(f19(x1181))),
% 0.83/0.97 inference(scs_inference,[],[54,112,115,57,49,50,67,61,71,60,2,62])).
% 0.83/0.97 cnf(120,plain,
% 0.83/0.97 (P2(f21(x1201),f28(x1201))),
% 0.83/0.97 inference(scs_inference,[],[54,112,115,57,49,50,67,61,71,60,2,62,74])).
% 0.83/0.97 cnf(123,plain,
% 0.83/0.97 (~E(a1,f19(x1231))),
% 0.83/0.97 inference(scs_inference,[],[54,112,115,57,49,50,67,61,71,60,2,62,74,44,39])).
% 0.83/0.97 cnf(125,plain,
% 0.83/0.97 (P2(x1251,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(127,plain,
% 0.83/0.97 (P5(f20(f19(a12)),f19(a12))),
% 0.83/0.97 inference(scs_inference,[],[54,112,115,125,57,49,50,67,61,71,60,2,62,74,44,39,68,72])).
% 0.83/0.97 cnf(169,plain,
% 0.83/0.97 (P5(a1,f19(a1))),
% 0.83/0.97 inference(scs_inference,[],[54,109,87])).
% 0.83/0.97 cnf(170,plain,
% 0.83/0.97 (~P5(x1701,a1)),
% 0.83/0.97 inference(rename_variables,[],[109])).
% 0.83/0.97 cnf(171,plain,
% 0.83/0.97 (P2(x1711,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(172,plain,
% 0.83/0.97 (P2(x1721,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(175,plain,
% 0.83/0.97 (P2(f21(x1751),f28(x1751))),
% 0.83/0.97 inference(rename_variables,[],[120])).
% 0.83/0.97 cnf(177,plain,
% 0.83/0.97 (P2(a12,f28(f4(a1,a11)))),
% 0.83/0.97 inference(scs_inference,[],[55,54,172,171,120,109,87,104,103])).
% 0.83/0.97 cnf(178,plain,
% 0.83/0.97 (P2(x1781,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(179,plain,
% 0.83/0.97 (P2(x1791,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(181,plain,
% 0.83/0.97 (E(f27(a1,a11,a12),f18(a12))),
% 0.83/0.97 inference(scs_inference,[],[55,54,172,178,171,179,120,109,87,104,103,102])).
% 0.83/0.97 cnf(182,plain,
% 0.83/0.97 (P2(x1821,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(183,plain,
% 0.83/0.97 (P2(x1831,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(185,plain,
% 0.83/0.97 (E(f5(a1,a11,a12),f3(a12))),
% 0.83/0.97 inference(scs_inference,[],[55,54,172,178,182,171,179,183,120,109,87,104,103,102,101])).
% 0.83/0.97 cnf(186,plain,
% 0.83/0.97 (P2(x1861,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(187,plain,
% 0.83/0.97 (P2(x1871,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(189,plain,
% 0.83/0.97 (P2(f27(a1,a11,a12),f28(a11))),
% 0.83/0.97 inference(scs_inference,[],[55,54,172,178,182,186,171,179,183,187,120,109,87,104,103,102,101,106])).
% 0.83/0.97 cnf(190,plain,
% 0.83/0.97 (P2(x1901,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(191,plain,
% 0.83/0.97 (P2(x1911,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(194,plain,
% 0.83/0.97 (P2(x1941,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(195,plain,
% 0.83/0.97 (P2(x1951,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(197,plain,
% 0.83/0.97 (P2(f23(f19(x1971)),f25(f19(x1971)))),
% 0.83/0.97 inference(scs_inference,[],[55,54,172,178,182,186,190,194,171,179,183,187,191,120,118,109,87,104,103,102,101,106,105,75])).
% 0.83/0.97 cnf(199,plain,
% 0.83/0.97 (P2(f20(f19(a12)),f25(f19(a12)))),
% 0.83/0.97 inference(scs_inference,[],[55,54,172,178,182,186,190,194,171,179,183,187,191,195,120,118,127,109,87,104,103,102,101,106,105,75,81])).
% 0.83/0.97 cnf(201,plain,
% 0.83/0.97 (E(f18(a12),f27(a1,a11,a12))),
% 0.83/0.97 inference(scs_inference,[],[55,54,172,178,182,186,190,194,171,179,183,187,191,195,120,118,127,109,87,104,103,102,101,106,105,75,81,2])).
% 0.83/0.97 cnf(203,plain,
% 0.83/0.97 (P2(x2031,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(207,plain,
% 0.83/0.97 (P2(x2071,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(215,plain,
% 0.83/0.97 (P2(x2151,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(216,plain,
% 0.83/0.97 (P2(x2161,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(258,plain,
% 0.83/0.97 (P6(x2581,x2581)),
% 0.83/0.97 inference(rename_variables,[],[110])).
% 0.83/0.97 cnf(264,plain,
% 0.83/0.97 (~E(a6,f20(f19(a12)))+~E(f3(a12),x2641)+E(f5(a1,a11,a12),x2641)+P3(f18(a12),f18(a12))),
% 0.83/0.97 inference(scs_inference,[],[55,54,172,178,182,186,190,194,203,215,171,179,183,187,191,195,207,216,110,258,120,175,118,127,109,170,111,87,104,103,102,101,106,105,75,81,2,89,42,66,44,100,97,96,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,48,47,46,45,41,3])).
% 0.83/0.97 cnf(289,plain,
% 0.83/0.97 (P4(f21(f4(x2891,x2891)))),
% 0.83/0.97 inference(scs_inference,[],[54,189,181,120,40,100])).
% 0.83/0.97 cnf(292,plain,
% 0.83/0.97 (~E(f19(x2921),a1)),
% 0.83/0.97 inference(scs_inference,[],[54,189,181,123,120,40,100,2])).
% 0.83/0.97 cnf(293,plain,
% 0.83/0.97 (P2(f23(f19(x2931)),f28(x2931))+~P2(x2931,a16)),
% 0.83/0.97 inference(scs_inference,[],[54,197,189,181,123,120,40,100,2,92])).
% 0.83/0.97 cnf(332,plain,
% 0.83/0.97 (E(f3(a12),f5(a1,a11,a12))),
% 0.83/0.97 inference(scs_inference,[],[54,185,293,2])).
% 0.83/0.97 cnf(335,plain,
% 0.83/0.97 (P2(x3351,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(337,plain,
% 0.83/0.97 (~P6(f19(a1),a1)),
% 0.83/0.97 inference(scs_inference,[],[109,54,335,169,185,293,2,94,41])).
% 0.83/0.97 cnf(342,plain,
% 0.83/0.97 (P5(f22(f19(a1),a1),f19(a1))+~P2(a1,a16)),
% 0.83/0.97 inference(scs_inference,[],[54,337,85])).
% 0.83/0.97 cnf(343,plain,
% 0.83/0.97 (P2(x3431,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(345,plain,
% 0.83/0.97 (P4(x3451)+~E(f8(x3451),f26(x3451,x3451))),
% 0.83/0.97 inference(scs_inference,[],[54,343,337,85,84])).
% 0.83/0.97 cnf(347,plain,
% 0.83/0.97 (P2(f5(a7,a11,a12),f28(a7))+~P2(a11,a16)),
% 0.83/0.97 inference(scs_inference,[],[54,343,337,56,85,84,105])).
% 0.83/0.97 cnf(348,plain,
% 0.83/0.97 (P2(x3481,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(350,plain,
% 0.83/0.97 (E(f5(a7,a11,a12),f3(a12))+~P2(a11,a16)),
% 0.83/0.97 inference(scs_inference,[],[54,343,348,337,56,85,84,105,101])).
% 0.83/0.97 cnf(351,plain,
% 0.83/0.97 (P2(x3511,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(353,plain,
% 0.83/0.97 (P5(a12,a12)+~P5(a12,f20(f19(a12)))+~P2(f20(f19(a12)),a16)),
% 0.83/0.97 inference(scs_inference,[],[54,343,348,351,337,127,56,85,84,105,101,98])).
% 0.83/0.97 cnf(354,plain,
% 0.83/0.97 (P2(x3541,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(355,plain,
% 0.83/0.97 (P2(x3551,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(358,plain,
% 0.83/0.97 (P6(f18(a12),a11)),
% 0.83/0.97 inference(scs_inference,[],[54,343,348,351,355,354,337,332,127,56,85,84,105,101,98,42,97])).
% 0.83/0.97 cnf(375,plain,
% 0.83/0.97 (E(f5(a7,a11,a12),f3(a12))),
% 0.83/0.97 inference(scs_inference,[],[54,350])).
% 0.83/0.97 cnf(376,plain,
% 0.83/0.97 (P2(x3761,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(378,plain,
% 0.83/0.97 (P2(x3781,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(379,plain,
% 0.83/0.97 (P5(f22(f19(a1),a1),f19(a1))),
% 0.83/0.97 inference(scs_inference,[],[54,376,378,350,347,342])).
% 0.83/0.97 cnf(380,plain,
% 0.83/0.97 (P2(x3801,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(383,plain,
% 0.83/0.97 (E(f28(f18(a12)),f28(f27(a1,a11,a12)))),
% 0.83/0.97 inference(scs_inference,[],[54,376,378,201,350,347,342,18,17,11])).
% 0.83/0.97 cnf(387,plain,
% 0.83/0.97 (E(f3(a12),f5(a7,a11,a12))),
% 0.83/0.97 inference(scs_inference,[],[54,376,378,358,201,350,347,342,18,17,11,8,39,47,2])).
% 0.83/0.97 cnf(389,plain,
% 0.83/0.97 (P2(x3891,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(402,plain,
% 0.83/0.97 (E(f5(x4021,f18(a12),x4022),f5(x4021,f27(a1,a11,a12),x4022))),
% 0.83/0.97 inference(scs_inference,[],[57,109,54,376,378,380,358,201,350,347,342,18,17,11,8,39,47,2,353,107,36,35,34,33,32,29,25,21,19,15])).
% 0.83/0.97 cnf(410,plain,
% 0.83/0.97 (~P2(a12,a2)+~E(f3(a12),a1)),
% 0.83/0.97 inference(scs_inference,[],[57,109,54,376,378,380,389,289,358,201,350,347,342,18,17,11,8,39,47,2,353,107,36,35,34,33,32,29,25,21,19,15,7,5,4,66,59,58])).
% 0.83/0.97 cnf(412,plain,
% 0.83/0.97 (P6(f3(a12),a1)+~P2(a11,a16)+~P2(a1,a16)),
% 0.83/0.97 inference(scs_inference,[],[57,109,54,376,378,380,389,289,358,201,55,350,347,342,18,17,11,8,39,47,2,353,107,36,35,34,33,32,29,25,21,19,15,7,5,4,66,59,58,96])).
% 0.83/0.97 cnf(414,plain,
% 0.83/0.97 (~P2(a11,a16)+~P2(a7,a16)+P2(a12,f28(f4(a7,a11)))),
% 0.83/0.97 inference(scs_inference,[],[57,109,54,376,378,380,389,289,358,201,55,56,350,347,342,18,17,11,8,39,47,2,353,107,36,35,34,33,32,29,25,21,19,15,7,5,4,66,59,58,96,103])).
% 0.83/0.97 cnf(431,plain,
% 0.83/0.97 (E(f5(x4311,x4312,f5(a7,a11,a12)),f5(x4311,x4312,f3(a12)))),
% 0.83/0.97 inference(scs_inference,[],[375,27,26,23,10,9,38,37,31,30,28,24,22,20,16])).
% 0.83/0.97 cnf(436,plain,
% 0.83/0.97 (P2(f14(x4361,x4361),f17(x4361,x4361))),
% 0.83/0.97 inference(scs_inference,[],[54,375,27,26,23,10,9,38,37,31,30,28,24,22,20,16,14,13,12,6,89])).
% 0.83/0.97 cnf(438,plain,
% 0.83/0.97 (E(f27(x4381,x4381,f14(x4381,x4381)),f18(f14(x4381,x4381)))),
% 0.83/0.97 inference(scs_inference,[],[54,375,27,26,23,10,9,38,37,31,30,28,24,22,20,16,14,13,12,6,89,102])).
% 0.83/0.97 cnf(443,plain,
% 0.83/0.97 (P2(x4431,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(444,plain,
% 0.83/0.97 (~E(x4441,a11)+P2(a12,f28(f4(a7,a11)))),
% 0.83/0.97 inference(scs_inference,[],[54,443,375,383,120,27,26,23,10,9,38,37,31,30,28,24,22,20,16,14,13,12,6,89,102,41,414,40])).
% 0.83/0.97 cnf(479,plain,
% 0.83/0.97 (P2(a12,f28(f4(a7,a11)))),
% 0.83/0.97 inference(equality_inference,[],[444])).
% 0.83/0.97 cnf(482,plain,
% 0.83/0.97 (P6(f3(a12),a1)+~P2(a11,a16)),
% 0.83/0.97 inference(scs_inference,[],[54,412])).
% 0.83/0.97 cnf(483,plain,
% 0.83/0.97 (P6(f3(a12),a1)),
% 0.83/0.97 inference(scs_inference,[],[54,482])).
% 0.83/0.97 cnf(484,plain,
% 0.83/0.97 (P2(x4841,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(486,plain,
% 0.83/0.97 (P2(x4861,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(487,plain,
% 0.83/0.97 (P2(x4871,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(490,plain,
% 0.83/0.97 (P2(x4901,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(494,plain,
% 0.83/0.97 (P2(x4941,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(495,plain,
% 0.83/0.97 (P2(x4951,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(497,plain,
% 0.83/0.97 (P2(f14(x4971,x4972),f17(x4972,x4971))),
% 0.83/0.97 inference(scs_inference,[],[54,484,487,490,495,494,486,436,199,482,97,92,105,89])).
% 0.83/0.97 cnf(499,plain,
% 0.83/0.97 (P2(f22(f19(a1),a1),f25(f19(a1)))),
% 0.83/0.97 inference(scs_inference,[],[54,484,487,490,495,494,486,436,199,379,118,482,97,92,105,89,81])).
% 0.83/0.97 cnf(501,plain,
% 0.83/0.97 (P2(x5011,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(502,plain,
% 0.83/0.97 (P2(x5021,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(504,plain,
% 0.83/0.97 (E(f18(f14(x5041,x5041)),f27(x5041,x5041,f14(x5041,x5041)))),
% 0.83/0.97 inference(scs_inference,[],[54,484,487,490,495,494,486,438,436,199,379,118,482,97,92,105,89,81,2])).
% 0.83/0.97 cnf(506,plain,
% 0.83/0.97 (P2(x5061,a16)),
% 0.83/0.97 inference(rename_variables,[],[54])).
% 0.83/0.97 cnf(507,plain,
% 0.83/0.97 (~P5(x5071,a1)),
% 0.83/0.97 inference(rename_variables,[],[109])).
% 0.83/0.97 cnf(509,plain,
% 0.83/0.97 (E(f3(a12),a1)),
% 0.83/0.97 inference(scs_inference,[],[109,54,484,487,490,495,501,494,502,486,438,436,199,379,118,482,97,92,105,89,81,2,87,68])).
% 0.83/0.98 cnf(512,plain,
% 0.83/0.98 (P2(x5121,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(520,plain,
% 0.83/0.98 (P2(x5201,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(523,plain,
% 0.83/0.98 (P2(x5231,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(524,plain,
% 0.83/0.98 (P2(x5241,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(526,plain,
% 0.83/0.98 (P4(a12)+P2(f23(f3(a12)),f25(f3(a12)))),
% 0.83/0.98 inference(scs_inference,[],[109,507,54,484,487,490,495,501,512,520,524,523,494,502,506,486,438,436,479,199,379,118,482,97,92,105,89,81,2,87,68,75,60,94,101,100])).
% 0.83/0.98 cnf(565,plain,
% 0.83/0.98 (~P2(a12,a2)),
% 0.83/0.98 inference(scs_inference,[],[509,410])).
% 0.83/0.98 cnf(566,plain,
% 0.83/0.98 (~P6(f19(x5661),a1)),
% 0.83/0.98 inference(scs_inference,[],[54,292,68])).
% 0.83/0.98 cnf(567,plain,
% 0.83/0.98 (P2(x5671,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(573,plain,
% 0.83/0.98 (P2(f22(f19(a1),a1),f28(a1))+~P2(a1,a16)),
% 0.83/0.98 inference(scs_inference,[],[110,54,567,504,499,509,292,57,68,47,3,2,92])).
% 0.83/0.98 cnf(574,plain,
% 0.83/0.98 (P2(x5741,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(577,plain,
% 0.83/0.98 (P2(x5771,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(578,plain,
% 0.83/0.98 (P2(f14(x5781,x5782),f17(x5782,x5781))),
% 0.83/0.98 inference(rename_variables,[],[497])).
% 0.83/0.98 cnf(579,plain,
% 0.83/0.98 (P2(x5791,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(583,plain,
% 0.83/0.98 (P2(f14(x5831,x5832),f17(x5832,x5831))),
% 0.83/0.98 inference(rename_variables,[],[497])).
% 0.83/0.98 cnf(585,plain,
% 0.83/0.98 (E(f5(x5851,x5851,f14(x5851,x5851)),f3(f14(x5851,x5851)))),
% 0.83/0.98 inference(scs_inference,[],[110,54,567,574,579,577,504,497,578,583,499,509,292,57,68,47,3,2,92,106,105,101])).
% 0.83/0.98 cnf(587,plain,
% 0.83/0.98 (P2(f14(x5871,x5872),f17(x5872,x5871))),
% 0.83/0.98 inference(rename_variables,[],[497])).
% 0.83/0.98 cnf(588,plain,
% 0.83/0.98 (P2(x5881,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(592,plain,
% 0.83/0.98 (P2(f14(x5921,x5922),f17(x5922,x5921))),
% 0.83/0.98 inference(rename_variables,[],[497])).
% 0.83/0.98 cnf(593,plain,
% 0.83/0.98 (P2(x5931,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(602,plain,
% 0.83/0.98 (P2(x6021,a2)+~E(a6,x6021)),
% 0.83/0.98 inference(scs_inference,[],[50,110,54,567,574,579,588,593,577,504,497,578,583,587,592,483,499,509,292,57,68,47,3,2,92,106,105,101,96,103,264,48,40])).
% 0.83/0.98 cnf(623,plain,
% 0.83/0.98 (~P4(a12)),
% 0.83/0.98 inference(scs_inference,[],[54,565,66])).
% 0.83/0.98 cnf(624,plain,
% 0.83/0.98 (P2(x6241,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(634,plain,
% 0.83/0.98 (P2(x6341,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(641,plain,
% 0.83/0.98 (P2(x6411,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(654,plain,
% 0.83/0.98 (~P1(a12)),
% 0.83/0.98 inference(scs_inference,[],[110,54,624,634,641,585,565,566,402,431,387,509,66,48,100,47,103,41,3,2,602,573,526,345,17,8,34,33,21,19,15,7,5,60])).
% 0.83/0.98 cnf(681,plain,
% 0.83/0.98 (P2(x6811,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(684,plain,
% 0.83/0.98 (P2(x6841,a16)),
% 0.83/0.98 inference(rename_variables,[],[54])).
% 0.83/0.98 cnf(686,plain,
% 0.83/0.98 (~P2(a11,a16)),
% 0.83/0.98 inference(scs_inference,[],[114,54,681,684,177,623,654,75,66,100])).
% 0.83/0.98 cnf(732,plain,
% 0.83/0.98 ($false),
% 0.83/0.98 inference(scs_inference,[],[686,54]),
% 0.83/0.98 ['proof']).
% 0.83/0.98 % SZS output end Proof
% 0.83/0.98 % Total time :0.380000s
%------------------------------------------------------------------------------