TSTP Solution File: SET677+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET677+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 : n011.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 14:30:41 EDT 2023
% Result : Theorem 1.01s 1.09s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET677+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sat Aug 26 10:06:54 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.90/1.08 %-------------------------------------------
% 0.90/1.08 % File :CSE---1.6
% 0.90/1.08 % Problem :theBenchmark
% 0.90/1.08 % Transform :cnf
% 0.90/1.08 % Format :tptp:raw
% 0.90/1.08 % Command :java -jar mcs_scs.jar %d %s
% 0.90/1.08
% 0.90/1.08 % Result :Theorem 0.480000s
% 0.90/1.08 % Output :CNFRefutation 0.480000s
% 0.90/1.08 %-------------------------------------------
% 0.90/1.08 %--------------------------------------------------------------------------
% 0.90/1.08 % File : SET677+3 : TPTP v8.1.2. Released v2.2.0.
% 0.90/1.08 % Domain : Set Theory (Relations)
% 0.90/1.08 % Problem : Id on X a subset of R => X is domain of R & X is range of R
% 0.90/1.08 % Version : [Wor90] axioms : Reduced > Incomplete.
% 0.90/1.08 % English : If the identity relation on X is a subset of a relation R from
% 0.90/1.08 % X to Y then X is the domain of R and X is the range of R.
% 0.90/1.08
% 0.90/1.08 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 0.90/1.08 % : [Wor90] Woronowicz (1990), Relations Defined on Sets
% 0.90/1.08 % Source : [ILF]
% 0.90/1.08 % Names : RELSET_1 (44) [Wor90]
% 0.90/1.08
% 0.90/1.08 % Status : Theorem
% 0.90/1.08 % Rating : 0.14 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.17 v6.2.0, 0.20 v6.0.0, 0.13 v5.5.0, 0.11 v5.4.0, 0.14 v5.3.0, 0.19 v5.2.0, 0.10 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.16 v3.3.0, 0.07 v3.2.0, 0.09 v3.1.0, 0.00 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.25 v2.4.0, 0.25 v2.3.0, 0.33 v2.2.1
% 0.90/1.08 % Syntax : Number of formulae : 35 ( 2 unt; 0 def)
% 0.90/1.08 % Number of atoms : 135 ( 9 equ)
% 0.90/1.08 % Maximal formula atoms : 7 ( 3 avg)
% 0.90/1.08 % Number of connectives : 104 ( 4 ~; 0 |; 13 &)
% 0.90/1.08 % ( 11 <=>; 76 =>; 0 <=; 0 <~>)
% 0.90/1.08 % Maximal formula depth : 11 ( 6 avg)
% 0.90/1.08 % Maximal term depth : 3 ( 1 avg)
% 0.90/1.08 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.90/1.08 % Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% 0.90/1.08 % Number of variables : 77 ( 70 !; 7 ?)
% 0.90/1.08 % SPC : FOF_THM_RFO_SEQ
% 0.90/1.08
% 0.90/1.08 % Comments :
% 0.90/1.08 %--------------------------------------------------------------------------
% 0.90/1.08 %---- line(relset_1 - th(31),1916588)
% 0.90/1.08 fof(p1,axiom,
% 0.90/1.08 ! [B] :
% 0.90/1.08 ( ilf_type(B,set_type)
% 0.90/1.08 => ! [C] :
% 1.00/1.08 ( ilf_type(C,set_type)
% 1.00/1.08 => ! [D] :
% 1.00/1.08 ( ilf_type(D,relation_type(C,B))
% 1.00/1.08 => ( subset(identity_relation_of(C),D)
% 1.00/1.08 => ( C = domain(C,B,D)
% 1.00/1.08 & subset(C,range(C,B,D)) ) ) ) ) ) ).
% 1.00/1.08
% 1.00/1.08 %---- line(relset_1 - th(32),1916604)
% 1.00/1.08 fof(p2,axiom,
% 1.00/1.08 ! [B] :
% 1.00/1.08 ( ilf_type(B,set_type)
% 1.00/1.08 => ! [C] :
% 1.00/1.08 ( ilf_type(C,set_type)
% 1.00/1.08 => ! [D] :
% 1.00/1.08 ( ilf_type(D,relation_type(B,C))
% 1.00/1.08 => ( subset(identity_relation_of(C),D)
% 1.00/1.08 => ( subset(C,domain(B,C,D))
% 1.00/1.08 & C = range(B,C,D) ) ) ) ) ) ).
% 1.00/1.08
% 1.00/1.08 %---- line(relat_1 - df(10),1918876)
% 1.00/1.08 fof(p3,axiom,
% 1.00/1.08 ! [B] :
% 1.00/1.08 ( ilf_type(B,set_type)
% 1.00/1.08 => ! [C] :
% 1.00/1.08 ( ilf_type(C,set_type)
% 1.00/1.08 => ! [D] :
% 1.00/1.08 ( ilf_type(D,set_type)
% 1.00/1.08 => ( member(ordered_pair(C,D),identity_relation_of(B))
% 1.00/1.08 <=> ( member(C,B)
% 1.00/1.08 & C = D ) ) ) ) ) ).
% 1.00/1.08
% 1.00/1.08 %---- declaration(line(relat_1 - df(10),1918876))
% 1.00/1.08 fof(p4,axiom,
% 1.00/1.08 ! [B] :
% 1.00/1.08 ( ilf_type(B,set_type)
% 1.00/1.08 => ilf_type(identity_relation_of(B),binary_relation_type) ) ).
% 1.00/1.08
% 1.00/1.08 %---- line(relset_1 - axiom517,1916837)
% 1.00/1.08 fof(p5,axiom,
% 1.00/1.08 ! [B] :
% 1.00/1.08 ( ilf_type(B,set_type)
% 1.00/1.08 => ! [C] :
% 1.00/1.08 ( ilf_type(C,set_type)
% 1.00/1.08 => ( ilf_type(C,identity_relation_of_type(B))
% 1.00/1.08 <=> ilf_type(C,relation_type(B,B)) ) ) ) ).
% 1.00/1.08
% 1.00/1.08 %---- type_nonempty(line(relset_1 - axiom517,1916837))
% 1.00/1.08 fof(p6,axiom,
% 1.00/1.08 ! [B] :
% 1.00/1.08 ( ilf_type(B,set_type)
% 1.00/1.09 => ? [C] : ilf_type(C,identity_relation_of_type(B)) ) ).
% 1.00/1.09
% 1.00/1.09 %---- line(relat_1 - df(3),1917829)
% 1.00/1.09 fof(p7,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,binary_relation_type)
% 1.00/1.09 => ! [C] :
% 1.00/1.09 ( ilf_type(C,binary_relation_type)
% 1.00/1.09 => ( subset(B,C)
% 1.00/1.09 <=> ! [D] :
% 1.00/1.09 ( ilf_type(D,set_type)
% 1.00/1.09 => ! [E] :
% 1.00/1.09 ( ilf_type(E,set_type)
% 1.00/1.09 => ( member(ordered_pair(D,E),B)
% 1.00/1.09 => member(ordered_pair(D,E),C) ) ) ) ) ) ) ).
% 1.00/1.09
% 1.00/1.09 %---- line(boole - df(8),1909359)
% 1.00/1.09 fof(p8,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,set_type)
% 1.00/1.09 => ! [C] :
% 1.00/1.09 ( ilf_type(C,set_type)
% 1.00/1.09 => ( B = C
% 1.00/1.09 <=> ( subset(B,C)
% 1.00/1.09 & subset(C,B) ) ) ) ) ).
% 1.00/1.09
% 1.00/1.09 %---- declaration(op(domain_of,1,function))
% 1.00/1.09 fof(p9,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,binary_relation_type)
% 1.00/1.09 => ilf_type(domain_of(B),set_type) ) ).
% 1.00/1.09
% 1.00/1.09 %---- declaration(op(range_of,1,function))
% 1.00/1.09 fof(p10,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,binary_relation_type)
% 1.00/1.09 => ilf_type(range_of(B),set_type) ) ).
% 1.00/1.09
% 1.00/1.09 %---- declaration(op(ordered_pair,2,function))
% 1.00/1.09 fof(p11,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,set_type)
% 1.00/1.09 => ! [C] :
% 1.00/1.09 ( ilf_type(C,set_type)
% 1.00/1.09 => ilf_type(ordered_pair(B,C),set_type) ) ) ).
% 1.00/1.09
% 1.00/1.09 %---- line(relat_1 - axiom518,1917641)
% 1.00/1.09 fof(p12,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,set_type)
% 1.00/1.09 => ( ilf_type(B,binary_relation_type)
% 1.00/1.09 <=> ( relation_like(B)
% 1.00/1.09 & ilf_type(B,set_type) ) ) ) ).
% 1.00/1.09
% 1.00/1.09 %---- type_nonempty(line(relat_1 - axiom518,1917641))
% 1.00/1.09 fof(p13,axiom,
% 1.00/1.09 ? [B] : ilf_type(B,binary_relation_type) ).
% 1.00/1.09
% 1.00/1.09 %---- line(relset_1 - df(1),1916080)
% 1.00/1.09 fof(p14,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,set_type)
% 1.00/1.09 => ! [C] :
% 1.00/1.09 ( ilf_type(C,set_type)
% 1.00/1.09 => ( ! [D] :
% 1.00/1.09 ( ilf_type(D,subset_type(cross_product(B,C)))
% 1.00/1.09 => ilf_type(D,relation_type(B,C)) )
% 1.00/1.09 & ! [E] :
% 1.00/1.09 ( ilf_type(E,relation_type(B,C))
% 1.00/1.09 => ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ) ).
% 1.00/1.09
% 1.00/1.09 %---- type_nonempty(line(relset_1 - df(1),1916080))
% 1.00/1.09 fof(p15,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,set_type)
% 1.00/1.09 => ! [C] :
% 1.00/1.09 ( ilf_type(C,set_type)
% 1.00/1.09 => ? [D] : ilf_type(D,relation_type(C,B)) ) ) ).
% 1.00/1.09
% 1.00/1.09 %---- line(hidden - axiom519,1832648)
% 1.00/1.09 fof(p16,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,set_type)
% 1.00/1.09 => ! [C] :
% 1.00/1.09 ( ilf_type(C,set_type)
% 1.00/1.09 => ( ilf_type(C,subset_type(B))
% 1.00/1.09 <=> ilf_type(C,member_type(power_set(B))) ) ) ) ).
% 1.00/1.09
% 1.00/1.09 %---- type_nonempty(line(hidden - axiom519,1832648))
% 1.00/1.09 fof(p17,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,set_type)
% 1.00/1.09 => ? [C] : ilf_type(C,subset_type(B)) ) ).
% 1.00/1.09
% 1.00/1.09 %---- line(tarski - df(3),1832749)
% 1.00/1.09 fof(p18,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,set_type)
% 1.00/1.09 => ! [C] :
% 1.00/1.09 ( ilf_type(C,set_type)
% 1.00/1.09 => ( subset(B,C)
% 1.00/1.09 <=> ! [D] :
% 1.00/1.09 ( ilf_type(D,set_type)
% 1.00/1.09 => ( member(D,B)
% 1.00/1.09 => member(D,C) ) ) ) ) ) ).
% 1.00/1.09
% 1.00/1.09 %---- property(reflexivity,op(subset,2,predicate))
% 1.00/1.09 fof(p19,axiom,
% 1.00/1.09 ! [B] :
% 1.00/1.09 ( ilf_type(B,set_type)
% 1.00/1.09 => subset(B,B) ) ).
% 1.00/1.09
% 1.01/1.09 %---- property(reflexivity,op(subset,2,predicate))
% 1.01/1.09 fof(p20,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,binary_relation_type)
% 1.01/1.09 => subset(B,B) ) ).
% 1.01/1.09
% 1.01/1.09 %---- declaration(op(cross_product,2,function))
% 1.01/1.09 fof(p21,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ! [C] :
% 1.01/1.09 ( ilf_type(C,set_type)
% 1.01/1.09 => ilf_type(cross_product(B,C),set_type) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- line(hidden - axiom521,1832644)
% 1.01/1.09 fof(p22,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ! [C] :
% 1.01/1.09 ( ilf_type(C,set_type)
% 1.01/1.09 => ( member(B,power_set(C))
% 1.01/1.09 <=> ! [D] :
% 1.01/1.09 ( ilf_type(D,set_type)
% 1.01/1.09 => ( member(D,B)
% 1.01/1.09 => member(D,C) ) ) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- declaration(line(hidden - axiom521,1832644))
% 1.01/1.09 fof(p23,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ( ~ empty(power_set(B))
% 1.01/1.09 & ilf_type(power_set(B),set_type) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- line(hidden - axiom522,1832640)
% 1.01/1.09 fof(p24,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ! [C] :
% 1.01/1.09 ( ( ~ empty(C)
% 1.01/1.09 & ilf_type(C,set_type) )
% 1.01/1.09 => ( ilf_type(B,member_type(C))
% 1.01/1.09 <=> member(B,C) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- type_nonempty(line(hidden - axiom522,1832640))
% 1.01/1.09 fof(p25,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ( ~ empty(B)
% 1.01/1.09 & ilf_type(B,set_type) )
% 1.01/1.09 => ? [C] : ilf_type(C,member_type(B)) ) ).
% 1.01/1.09
% 1.01/1.09 %---- line(relat_1 - df(1),1917627)
% 1.01/1.09 fof(p26,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ( relation_like(B)
% 1.01/1.09 <=> ! [C] :
% 1.01/1.09 ( ilf_type(C,set_type)
% 1.01/1.09 => ( member(C,B)
% 1.01/1.09 => ? [D] :
% 1.01/1.09 ( ilf_type(D,set_type)
% 1.01/1.09 & ? [E] :
% 1.01/1.09 ( ilf_type(E,set_type)
% 1.01/1.09 & C = ordered_pair(D,E) ) ) ) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- conditional_cluster(axiom524,relation_like)
% 1.01/1.09 fof(p27,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ! [C] :
% 1.01/1.09 ( ilf_type(C,set_type)
% 1.01/1.09 => ! [D] :
% 1.01/1.09 ( ilf_type(D,subset_type(cross_product(B,C)))
% 1.01/1.09 => relation_like(D) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- line(hidden - axiom525,1832628)
% 1.01/1.09 fof(p28,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ( empty(B)
% 1.01/1.09 <=> ! [C] :
% 1.01/1.09 ( ilf_type(C,set_type)
% 1.01/1.09 => ~ member(C,B) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- conditional_cluster(axiom526,empty)
% 1.01/1.09 fof(p29,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ( empty(B)
% 1.01/1.09 & ilf_type(B,set_type) )
% 1.01/1.09 => relation_like(B) ) ).
% 1.01/1.09
% 1.01/1.09 %---- line(relset_1 - axiom530,1916330)
% 1.01/1.09 fof(p30,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ! [C] :
% 1.01/1.09 ( ilf_type(C,set_type)
% 1.01/1.09 => ! [D] :
% 1.01/1.09 ( ilf_type(D,relation_type(B,C))
% 1.01/1.09 => domain(B,C,D) = domain_of(D) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- declaration(line(relset_1 - axiom530,1916330))
% 1.01/1.09 fof(p31,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ! [C] :
% 1.01/1.09 ( ilf_type(C,set_type)
% 1.01/1.09 => ! [D] :
% 1.01/1.09 ( ilf_type(D,relation_type(B,C))
% 1.01/1.09 => ilf_type(domain(B,C,D),subset_type(B)) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- line(relset_1 - axiom531,1916334)
% 1.01/1.09 fof(p32,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ! [C] :
% 1.01/1.09 ( ilf_type(C,set_type)
% 1.01/1.09 => ! [D] :
% 1.01/1.09 ( ilf_type(D,relation_type(B,C))
% 1.01/1.09 => range(B,C,D) = range_of(D) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- declaration(line(relset_1 - axiom531,1916334))
% 1.01/1.09 fof(p33,axiom,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ! [C] :
% 1.01/1.09 ( ilf_type(C,set_type)
% 1.01/1.09 => ! [D] :
% 1.01/1.09 ( ilf_type(D,relation_type(B,C))
% 1.01/1.09 => ilf_type(range(B,C,D),subset_type(C)) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %---- declaration(set)
% 1.01/1.09 fof(p34,axiom,
% 1.01/1.09 ! [B] : ilf_type(B,set_type) ).
% 1.01/1.09
% 1.01/1.09 %---- line(relset_1 - th(44),1916841)
% 1.01/1.09 fof(prove_relset_1_44,conjecture,
% 1.01/1.09 ! [B] :
% 1.01/1.09 ( ilf_type(B,set_type)
% 1.01/1.09 => ! [C] :
% 1.01/1.09 ( ilf_type(C,identity_relation_of_type(B))
% 1.01/1.09 => ( subset(identity_relation_of(B),C)
% 1.01/1.09 => ( B = domain(B,B,C)
% 1.01/1.09 & B = range(B,B,C) ) ) ) ) ).
% 1.01/1.09
% 1.01/1.09 %--------------------------------------------------------------------------
% 1.01/1.09 %-------------------------------------------
% 1.01/1.09 % Proof found
% 1.01/1.09 % SZS status Theorem for theBenchmark
% 1.01/1.09 % SZS output start Proof
% 1.01/1.09 %ClaNum:116(EqnAxiom:49)
% 1.01/1.09 %VarNum:324(SingletonVarNum:102)
% 1.01/1.09 %MaxLitNum:7
% 1.01/1.09 %MaxfuncDepth:2
% 1.01/1.09 %SharedTerms:15
% 1.01/1.09 %goalClause: 53 54 102
% 1.01/1.09 %singleGoalClaCount:2
% 1.01/1.09 [50]P1(a1,a2)
% 1.01/1.09 [53]P1(a11,f16(a3))
% 1.01/1.09 [54]P3(f17(a3),a11)
% 1.01/1.09 [52]P1(x521,a15)
% 1.01/1.09 [102]~E(f6(a3,a3,a11),a3)+~E(f27(a3,a3,a11),a3)
% 1.01/1.09 [56]P3(x561,x561)+~P1(x561,a15)
% 1.01/1.09 [57]P3(x571,x571)+~P1(x571,a2)
% 1.01/1.09 [58]~P1(x581,a15)+~P2(f23(x581))
% 1.01/1.09 [59]~P1(x591,a15)+P1(f17(x591),a2)
% 1.01/1.09 [69]~P1(x691,a15)+P1(f12(x691),f16(x691))
% 1.01/1.09 [70]~P1(x701,a15)+P1(f18(x701),f29(x701))
% 1.01/1.09 [55]~P2(x551)+P4(x551)+~P1(x551,a15)
% 1.01/1.09 [63]~P4(x631)+~P1(x631,a15)+P1(x631,a2)
% 1.01/1.09 [66]P4(x661)+~P1(x661,a15)+~P1(x661,a2)
% 1.01/1.09 [67]P4(x671)+P5(f7(x671),x671)+~P1(x671,a15)
% 1.01/1.09 [68]P2(x681)+P5(f10(x681),x681)+~P1(x681,a15)
% 1.01/1.09 [71]P2(x711)+P1(f20(x711),f24(x711))+~P1(x711,a15)
% 1.01/1.09 [88]~P1(x882,a15)+~P1(x881,a15)+P1(f19(x881,x882),f28(x882,x881))
% 1.01/1.09 [73]~E(x731,x732)+P3(x731,x732)+~P1(x732,a15)+~P1(x731,a15)
% 1.01/1.09 [74]~P2(x741)+~P5(x742,x741)+~P1(x742,a15)+~P1(x741,a15)
% 1.01/1.09 [84]P3(x841,x842)+P5(f21(x841,x842),x841)+~P1(x842,a15)+~P1(x841,a15)
% 1.01/1.09 [86]P5(f22(x861,x862),x861)+~P1(x862,a15)+~P1(x861,a15)+P5(x861,f23(x862))
% 1.01/1.09 [92]~P1(x922,a15)+~P1(x921,a15)+~P1(x921,f16(x922))+P1(x921,f28(x922,x922))
% 1.01/1.09 [93]P3(x931,x932)+~P1(x932,a15)+~P1(x931,a15)+~P5(f21(x931,x932),x932)
% 1.01/1.09 [95]~P1(x952,a15)+~P1(x951,a15)+~P1(x951,f28(x952,x952))+P1(x951,f16(x952))
% 1.01/1.09 [96]~P1(x962,a15)+~P1(x961,a15)+~P5(f22(x961,x962),x962)+P5(x961,f23(x962))
% 1.01/1.09 [87]~P1(x872,a15)+~P1(x871,a15)+~P1(x871,f29(x872))+P1(x871,f24(f23(x872)))
% 1.01/1.09 [91]~P1(x912,a15)+~P1(x911,a15)+P1(x911,f29(x912))+~P1(x911,f24(f23(x912)))
% 1.01/1.09 [110]P3(x1101,x1102)+~P1(x1102,a2)+~P1(x1101,a2)+P5(f25(f13(x1101,x1102),f14(x1101,x1102)),x1101)
% 1.01/1.09 [116]P3(x1161,x1162)+~P1(x1162,a2)+~P1(x1161,a2)+~P5(f25(f13(x1161,x1162),f14(x1161,x1162)),x1162)
% 1.01/1.09 [104]~P1(x1042,a15)+~P1(x1041,a15)+~P1(x1043,f28(x1041,x1042))+E(f6(x1041,x1042,x1043),f4(x1043))
% 1.01/1.09 [105]~P1(x1052,a15)+~P1(x1051,a15)+~P1(x1053,f28(x1051,x1052))+E(f27(x1051,x1052,x1053),f26(x1053))
% 1.01/1.09 [112]~P1(x1122,a15)+~P1(x1121,a15)+~P1(x1123,f28(x1121,x1122))+P1(f6(x1121,x1122,x1123),f29(x1121))
% 1.01/1.09 [113]~P1(x1132,a15)+~P1(x1131,a15)+~P1(x1133,f28(x1131,x1132))+P1(f27(x1131,x1132,x1133),f29(x1132))
% 1.01/1.09 [103]P4(x1031)+~P1(x1032,a15)+~P1(x1033,a15)+~P1(x1031,f29(f5(x1033,x1032)))
% 1.01/1.09 [106]~P1(x1063,a15)+~P1(x1062,a15)+~P1(x1061,f28(x1062,x1063))+P1(x1061,f29(f5(x1062,x1063)))
% 1.01/1.09 [109]~P1(x1093,a15)+~P1(x1092,a15)+P1(x1091,f28(x1092,x1093))+~P1(x1091,f29(f5(x1092,x1093)))
% 1.01/1.09 [77]~P3(x772,x771)+~P3(x771,x772)+E(x771,x772)+~P1(x772,a15)+~P1(x771,a15)
% 1.01/1.09 [78]~P5(x782,x781)+P2(x781)+~P1(x781,a15)+~P1(x782,a15)+P1(x782,f24(x781))
% 1.01/1.09 [79]P2(x791)+P5(x792,x791)+~P1(x791,a15)+~P1(x792,a15)+~P1(x792,f24(x791))
% 1.01/1.09 [100]~P4(x1001)+~P5(x1002,x1001)+~P1(x1001,a15)+~P1(x1002,a15)+E(f25(f8(x1001,x1002),f9(x1001,x1002)),x1002)
% 1.01/1.09 [83]P4(x831)+~P1(x831,a15)+~P1(x833,a15)+~P1(x832,a15)+~E(f7(x831),f25(x832,x833))
% 1.01/1.09 [99]E(x991,x992)+~P1(x992,a15)+~P1(x991,a15)+~P5(f25(x991,x992),f17(x993))+~P1(x993,a15)
% 1.01/1.09 [101]P5(x1011,x1012)+~P1(x1012,a15)+~P1(x1011,a15)+~P5(f25(x1011,x1013),f17(x1012))+~P1(x1013,a15)
% 1.01/1.09 [107]~P1(x1072,a15)+~P1(x1071,a15)+~P3(f17(x1071),x1073)+~P1(x1073,f28(x1071,x1072))+E(f6(x1071,x1072,x1073),x1071)
% 1.01/1.09 [108]~P1(x1081,a15)+~P1(x1082,a15)+~P3(f17(x1082),x1083)+~P1(x1083,f28(x1081,x1082))+E(f27(x1081,x1082,x1083),x1082)
% 1.01/1.09 [114]~P1(x1142,a15)+~P1(x1141,a15)+~P3(f17(x1141),x1143)+~P1(x1143,f28(x1142,x1141))+P3(x1141,f6(x1142,x1141,x1143))
% 1.01/1.09 [115]~P1(x1152,a15)+~P1(x1151,a15)+~P3(f17(x1151),x1153)+~P1(x1153,f28(x1151,x1152))+P3(x1151,f27(x1151,x1152,x1153))
% 1.01/1.09 [94]~P5(x941,x943)+P5(x941,x942)+~P3(x943,x942)+~P1(x941,a15)+~P1(x942,a15)+~P1(x943,a15)
% 1.01/1.09 [97]P5(x971,x972)+~P5(x971,x973)+~P1(x971,a15)+~P1(x972,a15)+~P1(x973,a15)+~P5(x973,f23(x972))
% 1.01/1.09 [98]~E(x981,x982)+~P5(x981,x983)+~P1(x982,a15)+~P1(x983,a15)+~P1(x981,a15)+P5(f25(x981,x982),f17(x983))
% 1.01/1.09 [111]~P3(x1114,x1113)+~P1(x1112,a15)+~P1(x1111,a15)+~P1(x1113,a2)+~P1(x1114,a2)+~P5(f25(x1111,x1112),x1114)+P5(f25(x1111,x1112),x1113)
% 1.01/1.09 %EqnAxiom
% 1.01/1.09 [1]E(x11,x11)
% 1.01/1.09 [2]E(x22,x21)+~E(x21,x22)
% 1.01/1.09 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.01/1.09 [4]~E(x41,x42)+E(f16(x41),f16(x42))
% 1.01/1.09 [5]~E(x51,x52)+E(f17(x51),f17(x52))
% 1.01/1.09 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 1.01/1.09 [7]~E(x71,x72)+E(f28(x71,x73),f28(x72,x73))
% 1.01/1.09 [8]~E(x81,x82)+E(f28(x83,x81),f28(x83,x82))
% 1.01/1.09 [9]~E(x91,x92)+E(f4(x91),f4(x92))
% 1.01/1.09 [10]~E(x101,x102)+E(f26(x101),f26(x102))
% 1.01/1.09 [11]~E(x111,x112)+E(f27(x111,x113,x114),f27(x112,x113,x114))
% 1.01/1.09 [12]~E(x121,x122)+E(f27(x123,x121,x124),f27(x123,x122,x124))
% 1.01/1.09 [13]~E(x131,x132)+E(f27(x133,x134,x131),f27(x133,x134,x132))
% 1.01/1.09 [14]~E(x141,x142)+E(f7(x141),f7(x142))
% 1.01/1.09 [15]~E(x151,x152)+E(f10(x151),f10(x152))
% 1.01/1.09 [16]~E(x161,x162)+E(f29(x161),f29(x162))
% 1.01/1.09 [17]~E(x171,x172)+E(f5(x171,x173),f5(x172,x173))
% 1.01/1.09 [18]~E(x181,x182)+E(f5(x183,x181),f5(x183,x182))
% 1.01/1.09 [19]~E(x191,x192)+E(f12(x191),f12(x192))
% 1.01/1.09 [20]~E(x201,x202)+E(f25(x201,x203),f25(x202,x203))
% 1.01/1.09 [21]~E(x211,x212)+E(f25(x213,x211),f25(x213,x212))
% 1.01/1.09 [22]~E(x221,x222)+E(f18(x221),f18(x222))
% 1.01/1.09 [23]~E(x231,x232)+E(f8(x231,x233),f8(x232,x233))
% 1.01/1.09 [24]~E(x241,x242)+E(f8(x243,x241),f8(x243,x242))
% 1.01/1.09 [25]~E(x251,x252)+E(f20(x251),f20(x252))
% 1.01/1.09 [26]~E(x261,x262)+E(f24(x261),f24(x262))
% 1.01/1.09 [27]~E(x271,x272)+E(f6(x271,x273,x274),f6(x272,x273,x274))
% 1.01/1.09 [28]~E(x281,x282)+E(f6(x283,x281,x284),f6(x283,x282,x284))
% 1.01/1.09 [29]~E(x291,x292)+E(f6(x293,x294,x291),f6(x293,x294,x292))
% 1.01/1.09 [30]~E(x301,x302)+E(f9(x301,x303),f9(x302,x303))
% 1.01/1.09 [31]~E(x311,x312)+E(f9(x313,x311),f9(x313,x312))
% 1.01/1.09 [32]~E(x321,x322)+E(f21(x321,x323),f21(x322,x323))
% 1.01/1.09 [33]~E(x331,x332)+E(f21(x333,x331),f21(x333,x332))
% 1.01/1.09 [34]~E(x341,x342)+E(f13(x341,x343),f13(x342,x343))
% 1.01/1.09 [35]~E(x351,x352)+E(f13(x353,x351),f13(x353,x352))
% 1.01/1.09 [36]~E(x361,x362)+E(f22(x361,x363),f22(x362,x363))
% 1.01/1.10 [37]~E(x371,x372)+E(f22(x373,x371),f22(x373,x372))
% 1.01/1.10 [38]~E(x381,x382)+E(f14(x381,x383),f14(x382,x383))
% 1.01/1.10 [39]~E(x391,x392)+E(f14(x393,x391),f14(x393,x392))
% 1.01/1.10 [40]~E(x401,x402)+E(f19(x401,x403),f19(x402,x403))
% 1.01/1.10 [41]~E(x411,x412)+E(f19(x413,x411),f19(x413,x412))
% 1.01/1.10 [42]P1(x422,x423)+~E(x421,x422)+~P1(x421,x423)
% 1.01/1.10 [43]P1(x433,x432)+~E(x431,x432)+~P1(x433,x431)
% 1.01/1.10 [44]P5(x442,x443)+~E(x441,x442)+~P5(x441,x443)
% 1.01/1.10 [45]P5(x453,x452)+~E(x451,x452)+~P5(x453,x451)
% 1.01/1.10 [46]P3(x462,x463)+~E(x461,x462)+~P3(x461,x463)
% 1.01/1.10 [47]P3(x473,x472)+~E(x471,x472)+~P3(x473,x471)
% 1.01/1.10 [48]~P2(x481)+P2(x482)+~E(x481,x482)
% 1.01/1.10 [49]~P4(x491)+P4(x492)+~E(x491,x492)
% 1.01/1.10
% 1.01/1.10 %-------------------------------------------
% 1.01/1.10 cnf(118,plain,
% 1.01/1.10 (P3(x1181,x1181)),
% 1.01/1.10 inference(scs_inference,[],[52,50,57,56])).
% 1.01/1.10 cnf(120,plain,
% 1.01/1.10 (P1(x1201,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(122,plain,
% 1.01/1.10 (P1(f17(x1221),a2)),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59])).
% 1.01/1.10 cnf(124,plain,
% 1.01/1.10 (~P2(f23(x1241))),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59,58])).
% 1.01/1.10 cnf(126,plain,
% 1.01/1.10 (P1(f18(x1261),f29(x1261))),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59,58,70])).
% 1.01/1.10 cnf(128,plain,
% 1.01/1.10 (P1(f12(x1281),f16(x1281))),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59,58,70,69])).
% 1.01/1.10 cnf(131,plain,
% 1.01/1.10 (P1(f19(x1311,x1311),f28(x1311,x1311))),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59,58,70,69,49,88])).
% 1.01/1.10 cnf(133,plain,
% 1.01/1.10 (P1(f19(x1331,x1331),f29(f5(x1331,x1331)))),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59,58,70,69,49,88,106])).
% 1.01/1.10 cnf(135,plain,
% 1.01/1.10 (E(f27(x1351,x1351,f19(x1351,x1351)),f26(f19(x1351,x1351)))),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59,58,70,69,49,88,106,105])).
% 1.01/1.10 cnf(137,plain,
% 1.01/1.10 (E(f6(x1371,x1371,f19(x1371,x1371)),f4(f19(x1371,x1371)))),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59,58,70,69,49,88,106,105,104])).
% 1.01/1.10 cnf(139,plain,
% 1.01/1.10 (P1(f27(x1391,x1391,f19(x1391,x1391)),f29(x1391))),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59,58,70,69,49,88,106,105,104,113])).
% 1.01/1.10 cnf(141,plain,
% 1.01/1.10 (P1(f6(x1411,x1411,f19(x1411,x1411)),f29(x1411))),
% 1.01/1.10 inference(scs_inference,[],[52,120,50,57,56,66,59,58,70,69,49,88,106,105,104,113,112])).
% 1.01/1.10 cnf(169,plain,
% 1.01/1.10 (P1(x1691,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(172,plain,
% 1.01/1.10 (P1(x1721,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(175,plain,
% 1.01/1.10 (P1(x1751,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(178,plain,
% 1.01/1.10 (P3(x1781,x1781)),
% 1.01/1.10 inference(rename_variables,[],[118])).
% 1.01/1.10 cnf(181,plain,
% 1.01/1.10 (P1(f26(f19(x1811,x1811)),f29(x1811))),
% 1.01/1.10 inference(scs_inference,[],[52,169,172,135,139,118,178,124,122,66,68,71,47,46,42])).
% 1.01/1.10 cnf(185,plain,
% 1.01/1.10 (P4(f19(x1851,x1851))),
% 1.01/1.10 inference(scs_inference,[],[52,169,172,175,135,139,133,118,178,124,122,66,68,71,47,46,42,74,103])).
% 1.01/1.10 cnf(188,plain,
% 1.01/1.10 (P1(f20(f23(x1881)),f29(x1881))+~P1(f20(f23(x1881)),a15)),
% 1.01/1.10 inference(scs_inference,[],[52,169,172,175,135,139,133,118,178,124,122,66,68,71,47,46,42,74,103,91])).
% 1.01/1.10 cnf(190,plain,
% 1.01/1.10 (P1(f18(f5(x1901,x1901)),f28(x1901,x1901))),
% 1.01/1.10 inference(scs_inference,[],[52,169,172,175,135,139,133,118,178,126,124,122,66,68,71,47,46,42,74,103,91,109])).
% 1.01/1.10 cnf(193,plain,
% 1.01/1.10 (~P3(a11,f17(a3))+E(a11,f17(a3))+~P1(f17(a3),a15)),
% 1.01/1.10 inference(scs_inference,[],[54,52,169,172,175,135,139,133,118,178,126,124,122,66,68,71,47,46,42,74,103,91,109,77])).
% 1.01/1.10 cnf(195,plain,
% 1.01/1.10 (P1(f10(f23(a11)),f24(f23(a11)))+~P1(f23(a11),a15)+~P1(f10(f23(a11)),a15)),
% 1.01/1.10 inference(scs_inference,[],[54,52,169,172,175,135,139,133,118,178,126,124,122,66,68,71,47,46,42,74,103,91,109,77,78])).
% 1.01/1.10 cnf(215,plain,
% 1.01/1.10 (P1(x2151,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(217,plain,
% 1.01/1.10 (P1(x2171,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(220,plain,
% 1.01/1.10 (P1(x2201,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(222,plain,
% 1.01/1.10 (P1(x2221,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(223,plain,
% 1.01/1.10 (~P1(x2231,a15)+P1(f6(x2231,x2231,f19(x2231,x2231)),f24(f23(x2231)))),
% 1.01/1.10 inference(scs_inference,[],[52,215,217,220,222,141,185,188,63,195,193,87])).
% 1.01/1.10 cnf(224,plain,
% 1.01/1.10 (P1(x2241,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(228,plain,
% 1.01/1.10 (P1(f18(f5(x2281,x2281)),f16(x2281))+~P1(x2281,a15)),
% 1.01/1.10 inference(scs_inference,[],[52,215,217,220,222,224,141,190,185,188,63,195,193,87,96,95])).
% 1.01/1.10 cnf(229,plain,
% 1.01/1.10 (P1(x2291,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(231,plain,
% 1.01/1.10 (P1(f12(x2311),f28(x2311,x2311))+~P1(x2311,a15)),
% 1.01/1.10 inference(scs_inference,[],[52,215,217,220,222,224,229,141,190,128,185,188,63,195,193,87,96,95,92])).
% 1.01/1.10 cnf(252,plain,
% 1.01/1.10 (P1(f12(x2521),f28(x2521,x2521))),
% 1.01/1.10 inference(scs_inference,[],[52,231])).
% 1.01/1.10 cnf(256,plain,
% 1.01/1.10 (P1(f6(x2561,x2561,f19(x2561,x2561)),f24(f23(x2561)))),
% 1.01/1.10 inference(scs_inference,[],[52,231,228,223])).
% 1.01/1.10 cnf(289,plain,
% 1.01/1.10 (P1(f12(x2891),f28(x2891,x2891))),
% 1.01/1.10 inference(rename_variables,[],[252])).
% 1.01/1.10 cnf(292,plain,
% 1.01/1.10 (P1(f12(x2921),f28(x2921,x2921))),
% 1.01/1.10 inference(rename_variables,[],[252])).
% 1.01/1.10 cnf(295,plain,
% 1.01/1.10 (P1(f12(x2951),f28(x2951,x2951))),
% 1.01/1.10 inference(rename_variables,[],[252])).
% 1.01/1.10 cnf(297,plain,
% 1.01/1.10 (P1(f12(x2971),f29(f5(x2971,x2971)))),
% 1.01/1.10 inference(scs_inference,[],[52,252,289,292,295,113,104,112,106])).
% 1.01/1.10 cnf(505,plain,
% 1.01/1.10 (P4(f12(x5051))),
% 1.01/1.10 inference(scs_inference,[],[297,141,137,52,42,103])).
% 1.01/1.10 cnf(509,plain,
% 1.01/1.10 (P1(x5091,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(511,plain,
% 1.01/1.10 (E(f6(a3,a3,a11),a3)+~P1(a11,f28(a3,a3))),
% 1.01/1.10 inference(scs_inference,[],[126,297,141,54,137,52,509,42,103,87,107])).
% 1.01/1.10 cnf(514,plain,
% 1.01/1.10 (E(x5141,a3)+~E(x5141,f6(a3,a3,a11))+~P1(a11,f28(a3,a3))),
% 1.01/1.10 inference(scs_inference,[],[126,297,141,54,137,52,509,42,103,87,107,3])).
% 1.01/1.10 cnf(529,plain,
% 1.01/1.10 (P1(a11,f28(a3,a3))+~P1(a3,a15)),
% 1.01/1.10 inference(scs_inference,[],[53,52,92])).
% 1.01/1.10 cnf(530,plain,
% 1.01/1.10 (P1(x5301,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(534,plain,
% 1.01/1.10 (E(f6(a3,a3,a11),a3)+~P1(a3,a15)),
% 1.01/1.10 inference(scs_inference,[],[256,53,137,52,92,42,511])).
% 1.01/1.10 cnf(535,plain,
% 1.01/1.10 (~P1(a3,a15)+~E(f27(a3,a3,a11),a3)),
% 1.01/1.10 inference(scs_inference,[],[256,53,137,52,92,42,511,102])).
% 1.01/1.10 cnf(536,plain,
% 1.01/1.10 (~E(f27(a3,a3,a11),f6(a3,a3,a11))+~P1(a3,a15)),
% 1.01/1.10 inference(scs_inference,[],[256,53,137,52,92,42,511,102,514])).
% 1.01/1.10 cnf(538,plain,
% 1.01/1.10 (~P5(f25(f27(a3,a3,a11),a3),f17(f27(a3,a3,a11)))+~P1(a3,a15)),
% 1.01/1.10 inference(scs_inference,[],[256,53,137,52,530,92,42,511,102,514,99])).
% 1.01/1.10 cnf(539,plain,
% 1.01/1.10 (P1(x5391,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(540,plain,
% 1.01/1.10 (P1(x5401,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(542,plain,
% 1.01/1.10 (P1(f19(x5421,x5422),f28(x5422,x5421))+~P1(a3,a15)),
% 1.01/1.10 inference(scs_inference,[],[256,53,137,52,530,540,539,92,42,511,102,514,99,88])).
% 1.01/1.10 cnf(547,plain,
% 1.01/1.10 (P1(x5471,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(548,plain,
% 1.01/1.10 (P1(x5481,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(550,plain,
% 1.01/1.10 (P1(x5501,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(554,plain,
% 1.01/1.10 (P1(f12(x5541),a2)+~P1(a3,a15)),
% 1.01/1.10 inference(scs_inference,[],[131,505,256,53,54,137,52,530,540,547,550,539,92,42,511,102,514,99,88,96,77,108,115,63])).
% 1.01/1.10 cnf(555,plain,
% 1.01/1.10 (P1(x5551,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(557,plain,
% 1.01/1.10 (~P1(a3,a15)+P1(f26(f19(x5571,x5571)),f24(f23(x5571)))),
% 1.01/1.10 inference(scs_inference,[],[131,181,505,256,53,54,137,52,530,540,547,550,555,539,548,92,42,511,102,514,99,88,96,77,108,115,63,87])).
% 1.01/1.10 cnf(559,plain,
% 1.01/1.10 (P1(x5591,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(561,plain,
% 1.01/1.10 (P3(a3,f6(a3,a3,a11))+~P1(a3,a15)),
% 1.01/1.10 inference(scs_inference,[],[131,181,505,256,53,54,137,52,530,540,547,550,555,559,539,548,92,42,511,102,514,99,88,96,77,108,115,63,87,114])).
% 1.01/1.10 cnf(582,plain,
% 1.01/1.10 (P1(x5821,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(584,plain,
% 1.01/1.10 (P1(x5841,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(586,plain,
% 1.01/1.10 (P1(x5861,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(588,plain,
% 1.01/1.10 (P1(x5881,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(590,plain,
% 1.01/1.10 (P1(x5901,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(592,plain,
% 1.01/1.10 (P1(x5921,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(593,plain,
% 1.01/1.10 (~E(f27(a3,a3,a11),a3)),
% 1.01/1.10 inference(scs_inference,[],[52,582,584,586,588,590,592,557,542,561,554,538,536,535])).
% 1.01/1.10 cnf(594,plain,
% 1.01/1.10 (P1(x5941,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(596,plain,
% 1.01/1.10 (P1(x5961,a15)),
% 1.01/1.10 inference(rename_variables,[],[52])).
% 1.01/1.10 cnf(597,plain,
% 1.01/1.10 (P1(a11,f28(a3,a3))),
% 1.01/1.10 inference(scs_inference,[],[52,582,584,586,588,590,592,594,596,557,542,561,554,538,536,535,534,529])).
% 1.01/1.10 cnf(721,plain,
% 1.01/1.10 ($false),
% 1.01/1.10 inference(scs_inference,[],[597,593,54,52,108]),
% 1.01/1.10 ['proof']).
% 1.01/1.10 % SZS output end Proof
% 1.01/1.10 % Total time :0.480000s
%------------------------------------------------------------------------------