TSTP Solution File: SEU394+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU394+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 16:19:39 EDT 2023
% Result : Theorem 0.62s 1.13s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU394+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 18:20:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.60/1.09 %-------------------------------------------
% 0.60/1.09 % File :CSE---1.6
% 0.60/1.09 % Problem :theBenchmark
% 0.60/1.09 % Transform :cnf
% 0.60/1.09 % Format :tptp:raw
% 0.60/1.09 % Command :java -jar mcs_scs.jar %d %s
% 0.60/1.09
% 0.60/1.09 % Result :Theorem 0.420000s
% 0.60/1.09 % Output :CNFRefutation 0.420000s
% 0.60/1.09 %-------------------------------------------
% 0.60/1.10 %------------------------------------------------------------------------------
% 0.60/1.10 % File : SEU394+1 : TPTP v8.1.2. Released v3.3.0.
% 0.60/1.10 % Domain : Set theory
% 0.60/1.10 % Problem : MPTP bushy problem t15_yellow19
% 0.60/1.10 % Version : [Urb07] axioms : Especial.
% 0.60/1.10 % English :
% 0.60/1.10
% 0.60/1.10 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.60/1.10 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.60/1.10 % Source : [Urb07]
% 0.60/1.10 % Names : bushy-t15_yellow19 [Urb07]
% 0.60/1.10
% 0.60/1.10 % Status : Theorem
% 0.60/1.10 % Rating : 0.33 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.26 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.33 v6.2.0, 0.32 v6.1.0, 0.43 v6.0.0, 0.39 v5.5.0, 0.52 v5.4.0, 0.54 v5.3.0, 0.56 v5.2.0, 0.55 v5.1.0, 0.57 v5.0.0, 0.62 v4.1.0, 0.65 v4.0.1, 0.57 v4.0.0, 0.58 v3.7.0, 0.55 v3.5.0, 0.53 v3.3.0
% 0.60/1.10 % Syntax : Number of formulae : 127 ( 19 unt; 0 def)
% 0.60/1.10 % Number of atoms : 629 ( 20 equ)
% 0.60/1.10 % Maximal formula atoms : 20 ( 4 avg)
% 0.60/1.10 % Number of connectives : 632 ( 130 ~; 1 |; 393 &)
% 0.60/1.10 % ( 5 <=>; 103 =>; 0 <=; 0 <~>)
% 0.60/1.10 % Maximal formula depth : 21 ( 6 avg)
% 0.60/1.10 % Maximal term depth : 5 ( 1 avg)
% 0.60/1.10 % Number of predicates : 44 ( 42 usr; 1 prp; 0-3 aty)
% 0.60/1.10 % Number of functors : 15 ( 15 usr; 1 con; 0-4 aty)
% 0.60/1.10 % Number of variables : 203 ( 166 !; 37 ?)
% 0.60/1.10 % SPC : FOF_THM_RFO_SEQ
% 0.60/1.10
% 0.60/1.10 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.60/1.10 % library, www.mizar.org
% 0.60/1.10 %------------------------------------------------------------------------------
% 0.60/1.10 fof(abstractness_v1_orders_2,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( strict_rel_str(A)
% 0.60/1.10 => A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(abstractness_v6_waybel_0,axiom,
% 0.60/1.10 ! [A,B] :
% 0.60/1.10 ( ( one_sorted_str(A)
% 0.60/1.10 & net_str(B,A) )
% 0.60/1.10 => ( strict_net_str(B,A)
% 0.60/1.10 => B = net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(antisymmetry_r2_hidden,axiom,
% 0.60/1.10 ! [A,B] :
% 0.60/1.10 ( in(A,B)
% 0.60/1.10 => ~ in(B,A) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc10_waybel_0,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & complete_relstr(A) )
% 0.60/1.10 => ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & up_complete_relstr(A)
% 0.60/1.10 & join_complete_relstr(A) ) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc11_waybel_0,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & join_complete_relstr(A) )
% 0.60/1.10 => ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & lower_bounded_relstr(A) ) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc12_waybel_0,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & transitive_relstr(A)
% 0.60/1.10 & antisymmetric_relstr(A)
% 0.60/1.10 & with_suprema_relstr(A)
% 0.60/1.10 & lower_bounded_relstr(A)
% 0.60/1.10 & up_complete_relstr(A) )
% 0.60/1.10 => ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & transitive_relstr(A)
% 0.60/1.10 & antisymmetric_relstr(A)
% 0.60/1.10 & with_suprema_relstr(A)
% 0.60/1.10 & with_infima_relstr(A)
% 0.60/1.10 & complete_relstr(A)
% 0.60/1.10 & lower_bounded_relstr(A)
% 0.60/1.10 & upper_bounded_relstr(A)
% 0.60/1.10 & bounded_relstr(A) ) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc13_waybel_0,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & antisymmetric_relstr(A)
% 0.60/1.10 & join_complete_relstr(A) )
% 0.60/1.10 => ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & antisymmetric_relstr(A)
% 0.60/1.10 & with_infima_relstr(A) ) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc14_waybel_0,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & antisymmetric_relstr(A)
% 0.60/1.10 & upper_bounded_relstr(A)
% 0.60/1.10 & join_complete_relstr(A) )
% 0.60/1.10 => ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & antisymmetric_relstr(A)
% 0.60/1.10 & with_suprema_relstr(A)
% 0.60/1.10 & upper_bounded_relstr(A) ) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc1_finset_1,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( empty(A)
% 0.60/1.10 => finite(A) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc1_lattice3,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( with_suprema_relstr(A)
% 0.60/1.10 => ~ empty_carrier(A) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc1_relat_1,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( empty(A)
% 0.60/1.10 => relation(A) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc1_relset_1,axiom,
% 0.60/1.10 ! [A,B,C] :
% 0.60/1.10 ( element(C,powerset(cartesian_product2(A,B)))
% 0.60/1.10 => relation(C) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc1_yellow_0,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( ( ~ empty_carrier(A)
% 0.60/1.10 & complete_relstr(A) )
% 0.60/1.10 => ( ~ empty_carrier(A)
% 0.60/1.10 & with_suprema_relstr(A)
% 0.60/1.10 & with_infima_relstr(A) ) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc2_finset_1,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( finite(A)
% 0.60/1.10 => ! [B] :
% 0.60/1.10 ( element(B,powerset(A))
% 0.60/1.10 => finite(B) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc2_lattice3,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( with_infima_relstr(A)
% 0.60/1.10 => ~ empty_carrier(A) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc2_yellow_0,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & trivial_carrier(A) )
% 0.60/1.10 => ( ~ empty_carrier(A)
% 0.60/1.10 & reflexive_relstr(A)
% 0.60/1.10 & transitive_relstr(A)
% 0.60/1.10 & antisymmetric_relstr(A)
% 0.60/1.10 & complete_relstr(A) ) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc3_yellow_0,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.10 => ( ( ~ empty_carrier(A)
% 0.60/1.10 & complete_relstr(A) )
% 0.60/1.10 => ( ~ empty_carrier(A)
% 0.60/1.10 & bounded_relstr(A) ) ) ) ).
% 0.60/1.10
% 0.60/1.10 fof(cc4_yellow_0,axiom,
% 0.60/1.10 ! [A] :
% 0.60/1.10 ( rel_str(A)
% 0.60/1.11 => ( bounded_relstr(A)
% 0.60/1.11 => ( lower_bounded_relstr(A)
% 0.60/1.11 & upper_bounded_relstr(A) ) ) ) ).
% 0.60/1.11
% 0.60/1.11 fof(cc5_waybel_0,axiom,
% 0.60/1.11 ! [A] :
% 0.60/1.11 ( rel_str(A)
% 0.60/1.11 => ( ( ~ empty_carrier(A)
% 0.60/1.11 & reflexive_relstr(A)
% 0.60/1.11 & trivial_carrier(A) )
% 0.60/1.11 => ( ~ empty_carrier(A)
% 0.60/1.11 & reflexive_relstr(A)
% 0.60/1.11 & connected_relstr(A) ) ) ) ).
% 0.60/1.11
% 0.60/1.11 fof(cc5_yellow_0,axiom,
% 0.60/1.11 ! [A] :
% 0.60/1.11 ( rel_str(A)
% 0.60/1.11 => ( ( lower_bounded_relstr(A)
% 0.60/1.11 & upper_bounded_relstr(A) )
% 0.60/1.11 => bounded_relstr(A) ) ) ).
% 0.60/1.11
% 0.60/1.11 fof(cc9_waybel_0,axiom,
% 0.60/1.11 ! [A] :
% 0.60/1.11 ( rel_str(A)
% 0.60/1.11 => ( ( reflexive_relstr(A)
% 0.60/1.11 & with_suprema_relstr(A)
% 0.60/1.11 & up_complete_relstr(A) )
% 0.60/1.11 => ( ~ empty_carrier(A)
% 0.60/1.11 & reflexive_relstr(A)
% 0.60/1.11 & with_suprema_relstr(A)
% 0.60/1.11 & upper_bounded_relstr(A) ) ) ) ).
% 0.60/1.11
% 0.60/1.11 fof(d3_yellow19,axiom,
% 0.60/1.11 ! [A] :
% 0.60/1.11 ( ( ~ empty_carrier(A)
% 0.60/1.11 & one_sorted_str(A) )
% 0.60/1.11 => ! [B] :
% 0.60/1.11 ( ( ~ empty_carrier(B)
% 0.60/1.11 & net_str(B,A) )
% 0.60/1.11 => filter_of_net_str(A,B) = a_2_1_yellow19(A,B) ) ) ).
% 0.60/1.11
% 0.60/1.11 fof(dt_g1_orders_2,axiom,
% 0.60/1.11 ! [A,B] :
% 0.60/1.11 ( relation_of2(B,A,A)
% 0.60/1.11 => ( strict_rel_str(rel_str_of(A,B))
% 0.60/1.11 & rel_str(rel_str_of(A,B)) ) ) ).
% 0.60/1.11
% 0.60/1.11 fof(dt_g1_waybel_0,axiom,
% 0.60/1.11 ! [A,B,C,D] :
% 0.60/1.11 ( ( one_sorted_str(A)
% 0.60/1.11 & relation_of2(C,B,B)
% 0.60/1.11 & function(D)
% 0.60/1.11 & quasi_total(D,B,the_carrier(A))
% 0.60/1.11 & relation_of2(D,B,the_carrier(A)) )
% 0.60/1.11 => ( strict_net_str(net_str_of(A,B,C,D),A)
% 0.60/1.11 & net_str(net_str_of(A,B,C,D),A) ) ) ).
% 0.60/1.11
% 0.60/1.11 fof(dt_k1_tarski,axiom,
% 0.60/1.11 $true ).
% 0.60/1.11
% 0.60/1.11 fof(dt_k1_xboole_0,axiom,
% 0.60/1.11 $true ).
% 0.60/1.11
% 0.60/1.11 fof(dt_k1_zfmisc_1,axiom,
% 0.60/1.11 $true ).
% 0.60/1.11
% 0.60/1.11 fof(dt_k2_pre_topc,axiom,
% 0.60/1.11 ! [A] :
% 0.60/1.11 ( one_sorted_str(A)
% 0.60/1.11 => element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) ).
% 0.60/1.11
% 0.60/1.11 fof(dt_k2_yellow19,axiom,
% 0.60/1.11 ! [A,B] :
% 0.60/1.11 ( ( ~ empty_carrier(A)
% 0.60/1.11 & one_sorted_str(A)
% 0.60/1.11 & ~ empty_carrier(B)
% 0.60/1.11 & net_str(B,A) )
% 0.60/1.11 => element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) ) ).
% 0.60/1.11
% 0.60/1.11 fof(dt_k2_zfmisc_1,axiom,
% 0.62/1.11 $true ).
% 0.62/1.11
% 0.62/1.11 fof(dt_k3_yellow19,axiom,
% 0.62/1.11 ! [A,B,C] :
% 0.62/1.11 ( ( ~ empty_carrier(A)
% 0.62/1.11 & one_sorted_str(A)
% 0.62/1.11 & ~ empty(B)
% 0.62/1.11 & element(B,powerset(the_carrier(A)))
% 0.62/1.11 & ~ empty(C)
% 0.62/1.11 & filtered_subset(C,boole_POSet(B))
% 0.62/1.11 & upper_relstr_subset(C,boole_POSet(B))
% 0.62/1.11 & element(C,powerset(the_carrier(boole_POSet(B)))) )
% 0.62/1.11 => ( ~ empty_carrier(net_of_bool_filter(A,B,C))
% 0.62/1.11 & strict_net_str(net_of_bool_filter(A,B,C),A)
% 0.62/1.11 & net_str(net_of_bool_filter(A,B,C),A) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(dt_k3_yellow_1,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( strict_rel_str(boole_POSet(A))
% 0.62/1.11 & rel_str(boole_POSet(A)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(dt_k4_xboole_0,axiom,
% 0.62/1.11 $true ).
% 0.62/1.11
% 0.62/1.11 fof(dt_l1_orders_2,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( rel_str(A)
% 0.62/1.11 => one_sorted_str(A) ) ).
% 0.62/1.11
% 0.62/1.11 fof(dt_l1_struct_0,axiom,
% 0.62/1.11 $true ).
% 0.62/1.11
% 0.62/1.11 fof(dt_l1_waybel_0,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( one_sorted_str(A)
% 0.62/1.11 => ! [B] :
% 0.62/1.11 ( net_str(B,A)
% 0.62/1.11 => rel_str(B) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(dt_m1_relset_1,axiom,
% 0.62/1.11 $true ).
% 0.62/1.11
% 0.62/1.11 fof(dt_m1_subset_1,axiom,
% 0.62/1.11 $true ).
% 0.62/1.11
% 0.62/1.11 fof(dt_m2_relset_1,axiom,
% 0.62/1.11 ! [A,B,C] :
% 0.62/1.11 ( relation_of2_as_subset(C,A,B)
% 0.62/1.11 => element(C,powerset(cartesian_product2(A,B))) ) ).
% 0.62/1.11
% 0.62/1.11 fof(dt_u1_orders_2,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( rel_str(A)
% 0.62/1.11 => relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(dt_u1_struct_0,axiom,
% 0.62/1.11 $true ).
% 0.62/1.11
% 0.62/1.11 fof(dt_u1_waybel_0,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ( ( one_sorted_str(A)
% 0.62/1.11 & net_str(B,A) )
% 0.62/1.11 => ( function(the_mapping(A,B))
% 0.62/1.11 & quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))
% 0.62/1.11 & relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(existence_l1_orders_2,axiom,
% 0.62/1.11 ? [A] : rel_str(A) ).
% 0.62/1.11
% 0.62/1.11 fof(existence_l1_struct_0,axiom,
% 0.62/1.11 ? [A] : one_sorted_str(A) ).
% 0.62/1.11
% 0.62/1.11 fof(existence_l1_waybel_0,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( one_sorted_str(A)
% 0.62/1.11 => ? [B] : net_str(B,A) ) ).
% 0.62/1.11
% 0.62/1.11 fof(existence_m1_relset_1,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ? [C] : relation_of2(C,A,B) ).
% 0.62/1.11
% 0.62/1.11 fof(existence_m1_subset_1,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ? [B] : element(B,A) ).
% 0.62/1.11
% 0.62/1.11 fof(existence_m2_relset_1,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ? [C] : relation_of2_as_subset(C,A,B) ).
% 0.62/1.11
% 0.62/1.11 fof(fc12_finset_1,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ( finite(A)
% 0.62/1.11 => finite(set_difference(A,B)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc12_relat_1,axiom,
% 0.62/1.11 ( empty(empty_set)
% 0.62/1.11 & relation(empty_set)
% 0.62/1.11 & relation_empty_yielding(empty_set) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc14_finset_1,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ( ( finite(A)
% 0.62/1.11 & finite(B) )
% 0.62/1.11 => finite(cartesian_product2(A,B)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc15_waybel_0,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( ( ~ empty_carrier(A)
% 0.62/1.11 & rel_str(A) )
% 0.62/1.11 => ( ~ empty(cast_as_carrier_subset(A))
% 0.62/1.11 & lower_relstr_subset(cast_as_carrier_subset(A),A)
% 0.62/1.11 & upper_relstr_subset(cast_as_carrier_subset(A),A) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc15_yellow_6,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ( ( ~ empty_carrier(A)
% 0.62/1.11 & one_sorted_str(A)
% 0.62/1.11 & ~ empty_carrier(B)
% 0.62/1.11 & net_str(B,A) )
% 0.62/1.11 => ( ~ empty(the_mapping(A,B))
% 0.62/1.11 & relation(the_mapping(A,B))
% 0.62/1.11 & function(the_mapping(A,B))
% 0.62/1.11 & quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc1_finset_1,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( ~ empty(singleton(A))
% 0.62/1.11 & finite(singleton(A)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc1_struct_0,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( ( ~ empty_carrier(A)
% 0.62/1.11 & one_sorted_str(A) )
% 0.62/1.11 => ~ empty(the_carrier(A)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc1_subset_1,axiom,
% 0.62/1.11 ! [A] : ~ empty(powerset(A)) ).
% 0.62/1.11
% 0.62/1.11 fof(fc1_waybel_7,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( ~ empty_carrier(boole_POSet(A))
% 0.62/1.11 & strict_rel_str(boole_POSet(A))
% 0.62/1.11 & reflexive_relstr(boole_POSet(A))
% 0.62/1.11 & transitive_relstr(boole_POSet(A))
% 0.62/1.11 & antisymmetric_relstr(boole_POSet(A))
% 0.62/1.11 & lower_bounded_relstr(boole_POSet(A))
% 0.62/1.11 & upper_bounded_relstr(boole_POSet(A))
% 0.62/1.11 & bounded_relstr(boole_POSet(A))
% 0.62/1.11 & up_complete_relstr(boole_POSet(A))
% 0.62/1.11 & join_complete_relstr(boole_POSet(A))
% 0.62/1.11 & ~ v1_yellow_3(boole_POSet(A))
% 0.62/1.11 & distributive_relstr(boole_POSet(A))
% 0.62/1.11 & heyting_relstr(boole_POSet(A))
% 0.62/1.11 & complemented_relstr(boole_POSet(A))
% 0.62/1.11 & boolean_relstr(boole_POSet(A))
% 0.62/1.11 & with_suprema_relstr(boole_POSet(A))
% 0.62/1.11 & with_infima_relstr(boole_POSet(A))
% 0.62/1.11 & complete_relstr(boole_POSet(A)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc1_yellow_0,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ( relation_of2(B,singleton(A),singleton(A))
% 0.62/1.11 => ( ~ empty_carrier(rel_str_of(singleton(A),B))
% 0.62/1.11 & strict_rel_str(rel_str_of(singleton(A),B))
% 0.62/1.11 & trivial_carrier(rel_str_of(singleton(A),B)) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc2_pre_topc,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( ( ~ empty_carrier(A)
% 0.62/1.11 & one_sorted_str(A) )
% 0.62/1.11 => ~ empty(cast_as_carrier_subset(A)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc2_subset_1,axiom,
% 0.62/1.11 ! [A] : ~ empty(singleton(A)) ).
% 0.62/1.11
% 0.62/1.11 fof(fc2_waybel_0,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( ( with_suprema_relstr(A)
% 0.62/1.11 & rel_str(A) )
% 0.62/1.11 => ( ~ empty(cast_as_carrier_subset(A))
% 0.62/1.11 & directed_subset(cast_as_carrier_subset(A),A) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc2_waybel_7,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( ~ empty(A)
% 0.62/1.11 => ( ~ empty_carrier(boole_POSet(A))
% 0.62/1.11 & ~ trivial_carrier(boole_POSet(A))
% 0.62/1.11 & strict_rel_str(boole_POSet(A))
% 0.62/1.11 & reflexive_relstr(boole_POSet(A))
% 0.62/1.11 & transitive_relstr(boole_POSet(A))
% 0.62/1.11 & antisymmetric_relstr(boole_POSet(A))
% 0.62/1.11 & lower_bounded_relstr(boole_POSet(A))
% 0.62/1.11 & upper_bounded_relstr(boole_POSet(A))
% 0.62/1.11 & bounded_relstr(boole_POSet(A))
% 0.62/1.11 & up_complete_relstr(boole_POSet(A))
% 0.62/1.11 & join_complete_relstr(boole_POSet(A))
% 0.62/1.11 & ~ v1_yellow_3(boole_POSet(A))
% 0.62/1.11 & distributive_relstr(boole_POSet(A))
% 0.62/1.11 & heyting_relstr(boole_POSet(A))
% 0.62/1.11 & complemented_relstr(boole_POSet(A))
% 0.62/1.11 & boolean_relstr(boole_POSet(A))
% 0.62/1.11 & with_suprema_relstr(boole_POSet(A))
% 0.62/1.11 & with_infima_relstr(boole_POSet(A))
% 0.62/1.11 & complete_relstr(boole_POSet(A)) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc2_yellow19,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ( ( ~ empty_carrier(A)
% 0.62/1.11 & one_sorted_str(A)
% 0.62/1.11 & ~ empty_carrier(B)
% 0.62/1.11 & net_str(B,A) )
% 0.62/1.11 => ( ~ empty(filter_of_net_str(A,B))
% 0.62/1.11 & upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A))) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc2_yellow_0,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( ( ~ empty_carrier(A)
% 0.62/1.11 & rel_str(A) )
% 0.62/1.11 => ~ empty(cast_as_carrier_subset(A)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc3_relat_1,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ( ( relation(A)
% 0.62/1.11 & relation(B) )
% 0.62/1.11 => relation(set_difference(A,B)) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc3_waybel_0,axiom,
% 0.62/1.11 ! [A] :
% 0.62/1.11 ( ( ~ empty_carrier(A)
% 0.62/1.11 & upper_bounded_relstr(A)
% 0.62/1.11 & rel_str(A) )
% 0.62/1.11 => ( ~ empty(cast_as_carrier_subset(A))
% 0.62/1.11 & directed_subset(cast_as_carrier_subset(A),A) ) ) ).
% 0.62/1.11
% 0.62/1.11 fof(fc3_yellow19,axiom,
% 0.62/1.11 ! [A,B] :
% 0.62/1.11 ( ( ~ empty_carrier(A)
% 0.62/1.11 & one_sorted_str(A)
% 0.62/1.11 & ~ empty_carrier(B)
% 0.62/1.12 & transitive_relstr(B)
% 0.62/1.12 & directed_relstr(B)
% 0.62/1.12 & net_str(B,A) )
% 0.62/1.12 => ( ~ empty(filter_of_net_str(A,B))
% 0.62/1.12 & filtered_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A)))
% 0.62/1.12 & upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A)))
% 0.62/1.12 & proper_element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc4_relat_1,axiom,
% 0.62/1.12 ( empty(empty_set)
% 0.62/1.12 & relation(empty_set) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc4_subset_1,axiom,
% 0.62/1.12 ! [A,B] :
% 0.62/1.12 ( ( ~ empty(A)
% 0.62/1.12 & ~ empty(B) )
% 0.62/1.12 => ~ empty(cartesian_product2(A,B)) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc4_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( with_infima_relstr(A)
% 0.62/1.12 & rel_str(A) )
% 0.62/1.12 => ( ~ empty(cast_as_carrier_subset(A))
% 0.62/1.12 & filtered_subset(cast_as_carrier_subset(A),A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc4_yellow19,axiom,
% 0.62/1.12 ! [A,B,C] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & one_sorted_str(A)
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & element(B,powerset(the_carrier(A)))
% 0.62/1.12 & ~ empty(C)
% 0.62/1.12 & filtered_subset(C,boole_POSet(B))
% 0.62/1.12 & upper_relstr_subset(C,boole_POSet(B))
% 0.62/1.12 & element(C,powerset(the_carrier(boole_POSet(B)))) )
% 0.62/1.12 => ( ~ empty_carrier(net_of_bool_filter(A,B,C))
% 0.62/1.12 & reflexive_relstr(net_of_bool_filter(A,B,C))
% 0.62/1.12 & transitive_relstr(net_of_bool_filter(A,B,C))
% 0.62/1.12 & strict_net_str(net_of_bool_filter(A,B,C),A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc5_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & lower_bounded_relstr(A)
% 0.62/1.12 & rel_str(A) )
% 0.62/1.12 => ( ~ empty(cast_as_carrier_subset(A))
% 0.62/1.12 & filtered_subset(cast_as_carrier_subset(A),A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc5_yellow19,axiom,
% 0.62/1.12 ! [A,B,C] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & one_sorted_str(A)
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & element(B,powerset(the_carrier(A)))
% 0.62/1.12 & ~ empty(C)
% 0.62/1.12 & filtered_subset(C,boole_POSet(B))
% 0.62/1.12 & upper_relstr_subset(C,boole_POSet(B))
% 0.62/1.12 & proper_element(C,powerset(the_carrier(boole_POSet(B))))
% 0.62/1.12 & element(C,powerset(the_carrier(boole_POSet(B)))) )
% 0.62/1.12 => ( ~ empty_carrier(net_of_bool_filter(A,B,C))
% 0.62/1.12 & reflexive_relstr(net_of_bool_filter(A,B,C))
% 0.62/1.12 & transitive_relstr(net_of_bool_filter(A,B,C))
% 0.62/1.12 & strict_net_str(net_of_bool_filter(A,B,C),A)
% 0.62/1.12 & directed_relstr(net_of_bool_filter(A,B,C)) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc6_waybel_0,axiom,
% 0.62/1.12 ! [A,B,C,D] :
% 0.62/1.12 ( ( one_sorted_str(A)
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & relation_of2(C,B,B)
% 0.62/1.12 & function(D)
% 0.62/1.12 & quasi_total(D,B,the_carrier(A))
% 0.62/1.12 & relation_of2(D,B,the_carrier(A)) )
% 0.62/1.12 => ( ~ empty_carrier(net_str_of(A,B,C,D))
% 0.62/1.12 & strict_net_str(net_str_of(A,B,C,D),A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc7_yellow_1,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ~ empty_carrier(boole_POSet(A))
% 0.62/1.12 & strict_rel_str(boole_POSet(A))
% 0.62/1.12 & reflexive_relstr(boole_POSet(A))
% 0.62/1.12 & transitive_relstr(boole_POSet(A))
% 0.62/1.12 & antisymmetric_relstr(boole_POSet(A)) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc8_yellow_1,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ~ empty_carrier(boole_POSet(A))
% 0.62/1.12 & strict_rel_str(boole_POSet(A))
% 0.62/1.12 & reflexive_relstr(boole_POSet(A))
% 0.62/1.12 & transitive_relstr(boole_POSet(A))
% 0.62/1.12 & antisymmetric_relstr(boole_POSet(A))
% 0.62/1.12 & lower_bounded_relstr(boole_POSet(A))
% 0.62/1.12 & upper_bounded_relstr(boole_POSet(A))
% 0.62/1.12 & bounded_relstr(boole_POSet(A))
% 0.62/1.12 & with_suprema_relstr(boole_POSet(A))
% 0.62/1.12 & with_infima_relstr(boole_POSet(A))
% 0.62/1.12 & complete_relstr(boole_POSet(A)) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fc8_yellow_6,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ~ empty_carrier(boole_POSet(A))
% 0.62/1.12 & strict_rel_str(boole_POSet(A))
% 0.62/1.12 & reflexive_relstr(boole_POSet(A))
% 0.62/1.12 & transitive_relstr(boole_POSet(A))
% 0.62/1.12 & antisymmetric_relstr(boole_POSet(A))
% 0.62/1.12 & lower_bounded_relstr(boole_POSet(A))
% 0.62/1.12 & upper_bounded_relstr(boole_POSet(A))
% 0.62/1.12 & bounded_relstr(boole_POSet(A))
% 0.62/1.12 & directed_relstr(boole_POSet(A))
% 0.62/1.12 & up_complete_relstr(boole_POSet(A))
% 0.62/1.12 & join_complete_relstr(boole_POSet(A))
% 0.62/1.12 & ~ v1_yellow_3(boole_POSet(A))
% 0.62/1.12 & with_suprema_relstr(boole_POSet(A))
% 0.62/1.12 & with_infima_relstr(boole_POSet(A))
% 0.62/1.12 & complete_relstr(boole_POSet(A)) ) ).
% 0.62/1.12
% 0.62/1.12 fof(fraenkel_a_2_1_yellow19,axiom,
% 0.62/1.12 ! [A,B,C] :
% 0.62/1.12 ( ( ~ empty_carrier(B)
% 0.62/1.12 & one_sorted_str(B)
% 0.62/1.12 & ~ empty_carrier(C)
% 0.62/1.12 & net_str(C,B) )
% 0.62/1.12 => ( in(A,a_2_1_yellow19(B,C))
% 0.62/1.12 <=> ? [D] :
% 0.62/1.12 ( element(D,powerset(the_carrier(B)))
% 0.62/1.12 & A = D
% 0.62/1.12 & is_eventually_in(B,C,D) ) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(free_g1_orders_2,axiom,
% 0.62/1.12 ! [A,B] :
% 0.62/1.12 ( relation_of2(B,A,A)
% 0.62/1.12 => ! [C,D] :
% 0.62/1.12 ( rel_str_of(A,B) = rel_str_of(C,D)
% 0.62/1.12 => ( A = C
% 0.62/1.12 & B = D ) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(free_g1_waybel_0,axiom,
% 0.62/1.12 ! [A,B,C,D] :
% 0.62/1.12 ( ( one_sorted_str(A)
% 0.62/1.12 & relation_of2(C,B,B)
% 0.62/1.12 & function(D)
% 0.62/1.12 & quasi_total(D,B,the_carrier(A))
% 0.62/1.12 & relation_of2(D,B,the_carrier(A)) )
% 0.62/1.12 => ! [E,F,G,H] :
% 0.62/1.12 ( net_str_of(A,B,C,D) = net_str_of(E,F,G,H)
% 0.62/1.12 => ( A = E
% 0.62/1.12 & B = F
% 0.62/1.12 & C = G
% 0.62/1.12 & D = H ) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc10_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & rel_str(A) )
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(the_carrier(A)))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & filtered_subset(B,A)
% 0.62/1.12 & upper_relstr_subset(B,A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc11_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & antisymmetric_relstr(A)
% 0.62/1.12 & with_suprema_relstr(A)
% 0.62/1.12 & with_infima_relstr(A)
% 0.62/1.12 & rel_str(A) )
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(the_carrier(A)))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & directed_subset(B,A)
% 0.62/1.12 & filtered_subset(B,A)
% 0.62/1.12 & lower_relstr_subset(B,A)
% 0.62/1.12 & upper_relstr_subset(B,A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc12_waybel_0,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 & ~ empty_carrier(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & antisymmetric_relstr(A)
% 0.62/1.12 & connected_relstr(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc13_waybel_0,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 & ~ empty_carrier(A)
% 0.62/1.12 & strict_rel_str(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & antisymmetric_relstr(A)
% 0.62/1.12 & with_suprema_relstr(A)
% 0.62/1.12 & with_infima_relstr(A)
% 0.62/1.12 & complete_relstr(A)
% 0.62/1.12 & lower_bounded_relstr(A)
% 0.62/1.12 & upper_bounded_relstr(A)
% 0.62/1.12 & bounded_relstr(A)
% 0.62/1.12 & up_complete_relstr(A)
% 0.62/1.12 & join_complete_relstr(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc1_finset_1,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( ~ empty(A)
% 0.62/1.12 & finite(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc1_lattice3,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 & ~ empty_carrier(A)
% 0.62/1.12 & strict_rel_str(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & antisymmetric_relstr(A)
% 0.62/1.12 & complete_relstr(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc1_relat_1,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( empty(A)
% 0.62/1.12 & relation(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc1_subset_1,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ~ empty(A)
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(A))
% 0.62/1.12 & ~ empty(B) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc1_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(the_carrier(A)))
% 0.62/1.12 & directed_subset(B,A)
% 0.62/1.12 & filtered_subset(B,A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc1_waybel_7,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 & ~ empty_carrier(A)
% 0.62/1.12 & ~ trivial_carrier(A)
% 0.62/1.12 & strict_rel_str(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & antisymmetric_relstr(A)
% 0.62/1.12 & lower_bounded_relstr(A)
% 0.62/1.12 & upper_bounded_relstr(A)
% 0.62/1.12 & bounded_relstr(A)
% 0.62/1.12 & ~ v1_yellow_3(A)
% 0.62/1.12 & distributive_relstr(A)
% 0.62/1.12 & heyting_relstr(A)
% 0.62/1.12 & complemented_relstr(A)
% 0.62/1.12 & boolean_relstr(A)
% 0.62/1.12 & with_suprema_relstr(A)
% 0.62/1.12 & with_infima_relstr(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc1_yellow_0,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 & ~ empty_carrier(A)
% 0.62/1.12 & strict_rel_str(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & antisymmetric_relstr(A)
% 0.62/1.12 & with_suprema_relstr(A)
% 0.62/1.12 & with_infima_relstr(A)
% 0.62/1.12 & complete_relstr(A)
% 0.62/1.12 & trivial_carrier(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc2_lattice3,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 & ~ empty_carrier(A)
% 0.62/1.12 & strict_rel_str(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & antisymmetric_relstr(A)
% 0.62/1.12 & with_suprema_relstr(A)
% 0.62/1.12 & with_infima_relstr(A)
% 0.62/1.12 & complete_relstr(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc2_relat_1,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( ~ empty(A)
% 0.62/1.12 & relation(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc2_subset_1,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ? [B] :
% 0.62/1.12 ( element(B,powerset(A))
% 0.62/1.12 & empty(B) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc2_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & rel_str(A) )
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(the_carrier(A)))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & finite(B)
% 0.62/1.12 & directed_subset(B,A)
% 0.62/1.12 & filtered_subset(B,A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc2_waybel_7,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ? [B] :
% 0.62/1.12 ( element(B,powerset(powerset(A)))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & finite(B) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc2_yellow_0,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 & ~ empty_carrier(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & antisymmetric_relstr(A)
% 0.62/1.12 & with_suprema_relstr(A)
% 0.62/1.12 & with_infima_relstr(A)
% 0.62/1.12 & complete_relstr(A)
% 0.62/1.12 & lower_bounded_relstr(A)
% 0.62/1.12 & upper_bounded_relstr(A)
% 0.62/1.12 & bounded_relstr(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc3_finset_1,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ~ empty(A)
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(A))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & finite(B) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc3_relat_1,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( relation(A)
% 0.62/1.12 & relation_empty_yielding(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc3_struct_0,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( one_sorted_str(A)
% 0.62/1.12 & ~ empty_carrier(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc3_waybel_7,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( one_sorted_str(A)
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(powerset(the_carrier(A))))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & finite(B) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc4_finset_1,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ~ empty(A)
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(A))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & finite(B) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc4_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( one_sorted_str(A)
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( net_str(B,A)
% 0.62/1.12 & strict_net_str(B,A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc4_waybel_7,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & ~ trivial_carrier(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & antisymmetric_relstr(A)
% 0.62/1.12 & upper_bounded_relstr(A)
% 0.62/1.12 & rel_str(A) )
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(the_carrier(A)))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & proper_element(B,powerset(the_carrier(A)))
% 0.62/1.12 & filtered_subset(B,A)
% 0.62/1.12 & upper_relstr_subset(B,A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc4_yellow_6,axiom,
% 0.62/1.12 ? [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 & ~ empty_carrier(A)
% 0.62/1.12 & strict_rel_str(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & directed_relstr(A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc5_struct_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & one_sorted_str(A) )
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(the_carrier(A)))
% 0.62/1.12 & ~ empty(B) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc5_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( one_sorted_str(A)
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( net_str(B,A)
% 0.62/1.12 & ~ empty_carrier(B)
% 0.62/1.12 & reflexive_relstr(B)
% 0.62/1.12 & transitive_relstr(B)
% 0.62/1.12 & antisymmetric_relstr(B)
% 0.62/1.12 & strict_net_str(B,A)
% 0.62/1.12 & directed_relstr(B) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc7_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( rel_str(A)
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(the_carrier(A)))
% 0.62/1.12 & lower_relstr_subset(B,A)
% 0.62/1.12 & upper_relstr_subset(B,A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc8_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & rel_str(A) )
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(the_carrier(A)))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & lower_relstr_subset(B,A)
% 0.62/1.12 & upper_relstr_subset(B,A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(rc9_waybel_0,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & reflexive_relstr(A)
% 0.62/1.12 & transitive_relstr(A)
% 0.62/1.12 & rel_str(A) )
% 0.62/1.12 => ? [B] :
% 0.62/1.12 ( element(B,powerset(the_carrier(A)))
% 0.62/1.12 & ~ empty(B)
% 0.62/1.12 & directed_subset(B,A)
% 0.62/1.12 & lower_relstr_subset(B,A) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(redefinition_m2_relset_1,axiom,
% 0.62/1.12 ! [A,B,C] :
% 0.62/1.12 ( relation_of2_as_subset(C,A,B)
% 0.62/1.12 <=> relation_of2(C,A,B) ) ).
% 0.62/1.12
% 0.62/1.12 fof(reflexivity_r1_tarski,axiom,
% 0.62/1.12 ! [A,B] : subset(A,A) ).
% 0.62/1.12
% 0.62/1.12 fof(t14_yellow19,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & one_sorted_str(A) )
% 0.62/1.12 => ! [B] :
% 0.62/1.12 ( ( ~ empty(B)
% 0.62/1.12 & filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))
% 0.62/1.12 & upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))
% 0.62/1.12 & element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) )
% 0.62/1.12 => set_difference(B,singleton(empty_set)) = filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t15_yellow19,conjecture,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ( ~ empty_carrier(A)
% 0.62/1.12 & one_sorted_str(A) )
% 0.62/1.12 => ! [B] :
% 0.62/1.12 ( ( ~ empty(B)
% 0.62/1.12 & filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))
% 0.62/1.12 & upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))
% 0.62/1.12 & proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))
% 0.62/1.12 & element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) )
% 0.62/1.12 => B = filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t1_subset,axiom,
% 0.62/1.12 ! [A,B] :
% 0.62/1.12 ( in(A,B)
% 0.62/1.12 => element(A,B) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t2_subset,axiom,
% 0.62/1.12 ! [A,B] :
% 0.62/1.12 ( element(A,B)
% 0.62/1.12 => ( empty(B)
% 0.62/1.12 | in(A,B) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t2_tarski,axiom,
% 0.62/1.12 ! [A,B] :
% 0.62/1.12 ( ! [C] :
% 0.62/1.12 ( in(C,A)
% 0.62/1.12 <=> in(C,B) )
% 0.62/1.12 => A = B ) ).
% 0.62/1.12
% 0.62/1.12 fof(t2_yellow19,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( ~ empty(A)
% 0.62/1.12 => ! [B] :
% 0.62/1.12 ( ( ~ empty(B)
% 0.62/1.12 & filtered_subset(B,boole_POSet(A))
% 0.62/1.12 & upper_relstr_subset(B,boole_POSet(A))
% 0.62/1.12 & proper_element(B,powerset(the_carrier(boole_POSet(A))))
% 0.62/1.12 & element(B,powerset(the_carrier(boole_POSet(A)))) )
% 0.62/1.12 => ! [C] :
% 0.62/1.12 ~ ( in(C,B)
% 0.62/1.12 & empty(C) ) ) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t3_boole,axiom,
% 0.62/1.12 ! [A] : set_difference(A,empty_set) = A ).
% 0.62/1.12
% 0.62/1.12 fof(t3_subset,axiom,
% 0.62/1.12 ! [A,B] :
% 0.62/1.12 ( element(A,powerset(B))
% 0.62/1.12 <=> subset(A,B) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t4_boole,axiom,
% 0.62/1.12 ! [A] : set_difference(empty_set,A) = empty_set ).
% 0.62/1.12
% 0.62/1.12 fof(t4_subset,axiom,
% 0.62/1.12 ! [A,B,C] :
% 0.62/1.12 ( ( in(A,B)
% 0.62/1.12 & element(B,powerset(C)) )
% 0.62/1.12 => element(A,C) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t5_subset,axiom,
% 0.62/1.12 ! [A,B,C] :
% 0.62/1.12 ~ ( in(A,B)
% 0.62/1.12 & element(B,powerset(C))
% 0.62/1.12 & empty(C) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t65_zfmisc_1,axiom,
% 0.62/1.12 ! [A,B] :
% 0.62/1.12 ( set_difference(A,singleton(B)) = A
% 0.62/1.12 <=> ~ in(B,A) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t6_boole,axiom,
% 0.62/1.12 ! [A] :
% 0.62/1.12 ( empty(A)
% 0.62/1.12 => A = empty_set ) ).
% 0.62/1.12
% 0.62/1.12 fof(t7_boole,axiom,
% 0.62/1.12 ! [A,B] :
% 0.62/1.12 ~ ( in(A,B)
% 0.62/1.12 & empty(B) ) ).
% 0.62/1.12
% 0.62/1.12 fof(t8_boole,axiom,
% 0.62/1.12 ! [A,B] :
% 0.62/1.12 ~ ( empty(A)
% 0.62/1.12 & A != B
% 0.62/1.12 & empty(B) ) ).
% 0.62/1.12
% 0.62/1.13 %------------------------------------------------------------------------------
% 0.62/1.13 %-------------------------------------------
% 0.62/1.13 % Proof found
% 0.62/1.13 % SZS status Theorem for theBenchmark
% 0.62/1.13 % SZS output start Proof
% 0.62/1.13 %ClaNum:478(EqnAxiom:116)
% 0.62/1.13 %VarNum:1016(SingletonVarNum:305)
% 0.62/1.13 %MaxLitNum:10
% 0.62/1.13 %MaxfuncDepth:4
% 0.62/1.13 %SharedTerms:127
% 0.62/1.13 %goalClause: 134 253 254 257 258 270 273 286
% 0.62/1.13 %singleGoalClaCount:8
% 0.62/1.13 [117]P1(a1)
% 0.62/1.13 [118]P1(a2)
% 0.62/1.13 [119]P1(a8)
% 0.62/1.13 [120]P1(a9)
% 0.62/1.13 [121]P1(a11)
% 0.62/1.13 [122]P1(a15)
% 0.62/1.13 [123]P1(a16)
% 0.62/1.13 [124]P1(a17)
% 0.62/1.13 [125]P1(a22)
% 0.62/1.13 [126]P28(a8)
% 0.62/1.13 [127]P28(a9)
% 0.62/1.13 [128]P28(a11)
% 0.62/1.13 [129]P28(a15)
% 0.62/1.13 [130]P28(a16)
% 0.62/1.13 [131]P28(a22)
% 0.62/1.13 [132]P2(a23)
% 0.62/1.13 [133]P2(a24)
% 0.62/1.13 [134]P2(a31)
% 0.62/1.13 [135]P25(a2)
% 0.62/1.13 [136]P25(a8)
% 0.62/1.13 [137]P25(a9)
% 0.62/1.13 [138]P25(a11)
% 0.62/1.13 [139]P25(a15)
% 0.62/1.13 [140]P25(a16)
% 0.62/1.13 [141]P25(a17)
% 0.62/1.13 [142]P3(a8)
% 0.62/1.13 [143]P3(a9)
% 0.62/1.13 [144]P3(a15)
% 0.62/1.13 [145]P3(a16)
% 0.62/1.13 [146]P3(a17)
% 0.62/1.13 [147]P34(a8)
% 0.62/1.13 [148]P8(a8)
% 0.62/1.13 [149]P22(a8)
% 0.62/1.13 [150]P22(a11)
% 0.62/1.13 [151]P22(a17)
% 0.62/1.13 [152]P35(a2)
% 0.62/1.13 [153]P35(a8)
% 0.62/1.13 [154]P35(a9)
% 0.62/1.13 [155]P35(a11)
% 0.62/1.13 [156]P35(a15)
% 0.62/1.13 [157]P35(a16)
% 0.62/1.13 [158]P35(a17)
% 0.62/1.13 [159]P35(a22)
% 0.62/1.13 [160]P4(a2)
% 0.62/1.13 [161]P4(a8)
% 0.62/1.13 [162]P4(a9)
% 0.62/1.13 [163]P4(a11)
% 0.62/1.13 [164]P4(a15)
% 0.62/1.13 [165]P4(a16)
% 0.62/1.13 [166]P4(a17)
% 0.62/1.13 [167]P38(a8)
% 0.62/1.13 [168]P38(a11)
% 0.62/1.13 [169]P38(a15)
% 0.62/1.13 [170]P38(a16)
% 0.62/1.13 [171]P38(a17)
% 0.62/1.13 [172]P39(a8)
% 0.62/1.13 [173]P39(a11)
% 0.62/1.13 [174]P39(a15)
% 0.62/1.13 [175]P39(a16)
% 0.62/1.13 [176]P39(a17)
% 0.62/1.13 [177]P40(a8)
% 0.62/1.13 [178]P40(a11)
% 0.62/1.13 [179]P40(a17)
% 0.62/1.13 [180]P5(a8)
% 0.62/1.13 [181]P5(a11)
% 0.62/1.13 [182]P5(a17)
% 0.62/1.13 [184]P9(a3)
% 0.62/1.13 [185]P9(a12)
% 0.62/1.13 [186]P15(a10)
% 0.62/1.13 [188]P29(a3)
% 0.62/1.13 [189]P29(a12)
% 0.62/1.13 [190]P29(a18)
% 0.62/1.13 [191]P29(a25)
% 0.62/1.13 [192]P37(a15)
% 0.62/1.13 [193]P10(a2)
% 0.62/1.13 [194]P30(a3)
% 0.62/1.13 [195]P30(a25)
% 0.62/1.13 [196]P11(a11)
% 0.62/1.13 [197]P18(a11)
% 0.62/1.13 [198]P7(a11)
% 0.62/1.13 [199]P6(a11)
% 0.62/1.13 [200]P12(a22)
% 0.62/1.13 [261]~P17(a2)
% 0.62/1.13 [262]~P17(a8)
% 0.62/1.13 [263]~P17(a9)
% 0.62/1.13 [264]~P17(a11)
% 0.62/1.13 [265]~P17(a15)
% 0.62/1.13 [266]~P17(a16)
% 0.62/1.13 [267]~P17(a17)
% 0.62/1.13 [268]~P17(a24)
% 0.62/1.13 [269]~P17(a22)
% 0.62/1.13 [270]~P17(a31)
% 0.62/1.13 [271]~P9(a10)
% 0.62/1.13 [272]~P9(a18)
% 0.62/1.13 [273]~P9(a40)
% 0.62/1.13 [274]~P37(a11)
% 0.62/1.13 [275]~P42(a11)
% 0.62/1.13 [253]P16(a40,f4(f6(a31)))
% 0.62/1.13 [254]P41(a40,f4(f6(a31)))
% 0.62/1.13 [286]~E(f47(a31,f46(a31,f6(a31),a40)),a40)
% 0.62/1.13 [257]P14(a40,f44(f53(f4(f6(a31)))))
% 0.62/1.13 [258]P26(a40,f44(f53(f4(f6(a31)))))
% 0.62/1.13 [251]P36(x2511,x2511)
% 0.62/1.13 [201]P1(f4(x2011))
% 0.62/1.13 [206]P28(f4(x2061))
% 0.62/1.13 [210]P25(f4(x2101))
% 0.62/1.13 [213]P3(f4(x2131))
% 0.62/1.13 [215]P34(f4(x2151))
% 0.62/1.13 [217]P8(f4(x2171))
% 0.62/1.13 [220]P22(f4(x2201))
% 0.62/1.13 [224]P35(f4(x2241))
% 0.62/1.13 [228]P4(f4(x2281))
% 0.62/1.13 [231]P38(f4(x2311))
% 0.62/1.13 [234]P39(f4(x2341))
% 0.62/1.13 [237]P40(f4(x2371))
% 0.62/1.13 [240]P5(f4(x2401))
% 0.62/1.13 [241]P9(f19(x2411))
% 0.62/1.13 [242]P15(f37(x2421))
% 0.62/1.13 [243]P15(f20(x2431))
% 0.62/1.13 [244]P11(f4(x2441))
% 0.62/1.13 [245]P18(f4(x2451))
% 0.62/1.13 [246]P7(f4(x2461))
% 0.62/1.13 [247]P6(f4(x2471))
% 0.62/1.13 [248]P12(f4(x2481))
% 0.62/1.13 [249]E(f38(a3,x2491),a3)
% 0.62/1.13 [250]E(f38(x2501,a3),x2501)
% 0.62/1.13 [252]P14(f39(x2521),x2521)
% 0.62/1.13 [255]P14(f19(x2551),f44(x2551))
% 0.62/1.13 [279]~P17(f4(x2791))
% 0.62/1.13 [280]~P9(f44(x2801))
% 0.62/1.13 [282]~P9(f37(x2821))
% 0.62/1.13 [283]~P9(f20(x2831))
% 0.62/1.13 [285]~P42(f4(x2851))
% 0.62/1.13 [256]P14(f20(x2561),f44(f44(x2561)))
% 0.62/1.13 [259]P31(f41(x2591,x2592),x2591,x2592)
% 0.62/1.13 [260]P32(f45(x2601,x2602),x2601,x2602)
% 0.62/1.13 [287]~P9(x2871)+E(x2871,a3)
% 0.62/1.13 [288]~P1(x2881)+P2(x2881)
% 0.62/1.13 [289]~P9(x2891)+P15(x2891)
% 0.62/1.13 [290]~P9(x2901)+P29(x2901)
% 0.62/1.13 [303]P9(x3031)+P15(f26(x3031))
% 0.62/1.13 [304]P9(x3041)+P15(f27(x3041))
% 0.62/1.13 [310]~P2(x3101)+P25(f32(x3101))
% 0.62/1.13 [311]~P2(x3111)+P35(f32(x3111))
% 0.62/1.13 [312]~P2(x3121)+P4(f32(x3121))
% 0.62/1.13 [313]~P2(x3131)+P15(f28(x3131))
% 0.62/1.13 [314]~P2(x3141)+P12(f32(x3141))
% 0.62/1.13 [318]P9(x3181)+~P9(f13(x3181))
% 0.62/1.13 [319]P9(x3191)+~P9(f26(x3191))
% 0.62/1.13 [320]P9(x3201)+~P9(f27(x3201))
% 0.62/1.13 [321]P9(x3211)+~P37(f4(x3211))
% 0.62/1.13 [328]~P2(x3281)+~P17(f32(x3281))
% 0.62/1.13 [329]~P2(x3291)+~P9(f28(x3291))
% 0.62/1.13 [331]~P2(x3311)+P23(f42(x3311),x3311)
% 0.62/1.13 [332]~P2(x3321)+P23(f29(x3321),x3321)
% 0.62/1.13 [333]~P2(x3331)+P23(f32(x3331),x3331)
% 0.62/1.13 [334]~P2(x3341)+P33(f29(x3341),x3341)
% 0.62/1.13 [335]~P2(x3351)+P33(f32(x3351),x3351)
% 0.62/1.13 [336]~P1(x3361)+P16(f14(x3361),x3361)
% 0.62/1.13 [337]~P1(x3371)+P41(f34(x3371),x3371)
% 0.62/1.13 [338]~P1(x3381)+P24(f34(x3381),x3381)
% 0.62/1.13 [339]~P1(x3391)+P13(f14(x3391),x3391)
% 0.62/1.13 [357]P9(x3571)+P14(f13(x3571),f44(x3571))
% 0.62/1.13 [358]P9(x3581)+P14(f26(x3581),f44(x3581))
% 0.62/1.13 [359]P9(x3591)+P14(f27(x3591),f44(x3591))
% 0.62/1.13 [424]~P1(x4241)+P32(f54(x4241),f53(x4241),f53(x4241))
% 0.62/1.13 [390]~P2(x3901)+P14(f6(x3901),f44(f53(x3901)))
% 0.62/1.13 [391]~P1(x3911)+P14(f14(x3911),f44(f53(x3911)))
% 0.62/1.13 [392]~P1(x3921)+P14(f34(x3921),f44(f53(x3921)))
% 0.62/1.13 [423]~P2(x4231)+P14(f28(x4231),f44(f44(f53(x4231))))
% 0.62/1.13 [347]~P9(x3471)+~P20(x3472,x3471)
% 0.62/1.13 [373]~P20(x3731,x3732)+P14(x3731,x3732)
% 0.62/1.13 [389]~P20(x3892,x3891)+~P20(x3891,x3892)
% 0.62/1.13 [374]~P15(x3741)+P15(f38(x3741,x3742))
% 0.62/1.13 [384]~P36(x3841,x3842)+P14(x3841,f44(x3842))
% 0.62/1.13 [397]P36(x3971,x3972)+~P14(x3971,f44(x3972))
% 0.62/1.13 [435]~P31(x4352,x4351,x4351)+P1(f52(x4351,x4352))
% 0.62/1.13 [436]~P31(x4362,x4361,x4361)+P28(f52(x4361,x4362))
% 0.62/1.13 [371]P20(x3712,x3711)+E(f38(x3711,f37(x3712)),x3711)
% 0.62/1.13 [400]~P20(x4002,x4001)+~E(f38(x4001,f37(x4002)),x4001)
% 0.62/1.13 [447]~P31(x4472,f37(x4471),f37(x4471))+P37(f52(f37(x4471),x4472))
% 0.62/1.13 [451]~P31(x4512,f37(x4511),f37(x4511))+~P17(f52(f37(x4511),x4512))
% 0.62/1.13 [444]~P32(x4441,x4442,x4443)+P31(x4441,x4442,x4443)
% 0.62/1.13 [445]~P31(x4451,x4452,x4453)+P32(x4451,x4452,x4453)
% 0.62/1.13 [437]P29(x4371)+~P14(x4371,f44(f7(x4372,x4373)))
% 0.62/1.13 [449]~P32(x4491,x4492,x4493)+P14(x4491,f44(f7(x4492,x4493)))
% 0.62/1.13 [315]~P1(x3151)+~P5(x3151)+P22(x3151)
% 0.62/1.13 [316]~P1(x3161)+~P5(x3161)+P40(x3161)
% 0.62/1.13 [323]~P17(x3231)+~P38(x3231)+~P1(x3231)
% 0.62/1.13 [324]~P17(x3241)+~P39(x3241)+~P1(x3241)
% 0.62/1.13 [341]~P1(x3411)+P17(x3411)+~P9(f6(x3411))
% 0.62/1.13 [342]~P1(x3421)+P17(x3421)+~P9(f35(x3421))
% 0.62/1.13 [343]~P2(x3431)+P17(x3431)+~P9(f53(x3431))
% 0.62/1.13 [344]~P2(x3441)+P17(x3441)+~P9(f6(x3441))
% 0.62/1.13 [345]~P2(x3451)+P17(x3451)+~P9(f33(x3451))
% 0.62/1.13 [355]~P38(x3551)+~P1(x3551)+~P9(f6(x3551))
% 0.62/1.13 [356]~P39(x3561)+~P1(x3561)+~P9(f6(x3561))
% 0.62/1.13 [360]~P1(x3601)+P17(x3601)+P41(f6(x3601),x3601)
% 0.62/1.13 [361]~P1(x3611)+P17(x3611)+P41(f35(x3611),x3611)
% 0.62/1.13 [362]~P1(x3621)+P17(x3621)+P24(f6(x3621),x3621)
% 0.62/1.13 [363]~P1(x3631)+P17(x3631)+P24(f35(x3631),x3631)
% 0.62/1.13 [366]~P1(x3661)+~P39(x3661)+P16(f6(x3661),x3661)
% 0.62/1.13 [367]~P1(x3671)+~P38(x3671)+P13(f6(x3671),x3671)
% 0.62/1.13 [381]~P1(x3811)+~P28(x3811)+E(f52(f53(x3811),f54(x3811)),x3811)
% 0.62/1.13 [398]~P2(x3981)+P17(x3981)+P14(f33(x3981),f44(f53(x3981)))
% 0.62/1.13 [399]~P1(x3991)+P17(x3991)+P14(f35(x3991),f44(f53(x3991)))
% 0.62/1.13 [309]~P9(x3092)+~P9(x3091)+E(x3091,x3092)
% 0.62/1.13 [365]~P23(x3651,x3652)+P1(x3651)+~P2(x3652)
% 0.62/1.13 [380]~P14(x3802,x3801)+P9(x3801)+P20(x3802,x3801)
% 0.62/1.13 [385]P15(x3851)+~P15(x3852)+~P14(x3851,f44(x3852))
% 0.62/1.13 [386]~P15(x3862)+~P15(x3861)+P15(f7(x3861,x3862))
% 0.62/1.13 [387]~P29(x3872)+~P29(x3871)+P29(f38(x3871,x3872))
% 0.62/1.13 [401]P9(x4011)+P9(x4012)+~P9(f7(x4012,x4011))
% 0.62/1.13 [408]~P2(x4081)+~P23(x4082,x4081)+P19(f55(x4081,x4082))
% 0.62/1.13 [426]E(x4261,x4262)+P20(f43(x4261,x4262),x4262)+P20(f43(x4261,x4262),x4261)
% 0.62/1.13 [438]~P2(x4381)+~P23(x4382,x4381)+P27(f55(x4381,x4382),f53(x4382),f53(x4381))
% 0.62/1.13 [439]~P2(x4391)+~P23(x4392,x4391)+P32(f55(x4391,x4392),f53(x4392),f53(x4391))
% 0.62/1.13 [440]E(x4401,x4402)+~P20(f43(x4401,x4402),x4402)+~P20(f43(x4401,x4402),x4401)
% 0.62/1.13 [410]~P9(x4101)+~P20(x4102,x4103)+~P14(x4103,f44(x4101))
% 0.62/1.13 [420]P14(x4201,x4202)+~P20(x4201,x4203)+~P14(x4203,f44(x4202))
% 0.62/1.13 [442]~P31(x4421,x4423,x4423)+E(x4421,x4422)+~E(f52(x4423,x4421),f52(x4424,x4422))
% 0.62/1.13 [443]~P31(x4433,x4431,x4431)+E(x4431,x4432)+~E(f52(x4431,x4433),f52(x4432,x4434))
% 0.62/1.13 [325]P38(x3251)+~P1(x3251)+~P3(x3251)+P17(x3251)
% 0.62/1.13 [326]P39(x3261)+~P1(x3261)+~P3(x3261)+P17(x3261)
% 0.62/1.13 [327]P5(x3271)+~P1(x3271)+~P3(x3271)+P17(x3271)
% 0.62/1.13 [330]~P1(x3301)+~P22(x3301)+~P40(x3301)+P5(x3301)
% 0.62/1.13 [346]~P1(x3461)+~P25(x3461)+P17(x3461)+P15(f21(x3461))
% 0.62/1.13 [368]~P1(x3681)+~P25(x3681)+P17(x3681)+~P9(f21(x3681))
% 0.62/1.13 [376]~P1(x3761)+~P22(x3761)+P17(x3761)+P16(f6(x3761),x3761)
% 0.62/1.13 [377]~P1(x3771)+~P25(x3771)+P17(x3771)+P16(f21(x3771),x3771)
% 0.62/1.13 [378]~P1(x3781)+~P40(x3781)+P17(x3781)+P13(f6(x3781),x3781)
% 0.62/1.13 [379]~P1(x3791)+~P25(x3791)+P17(x3791)+P13(f21(x3791),x3791)
% 0.62/1.13 [402]~P1(x4021)+~P25(x4021)+P17(x4021)+P14(f21(x4021),f44(f53(x4021)))
% 0.62/1.13 [459]~P2(x4591)+~P23(x4592,x4591)+~P33(x4592,x4591)+E(f51(x4591,f53(x4592),f54(x4592),f55(x4591,x4592)),x4592)
% 0.62/1.13 [348]P3(x3481)+~P1(x3481)+~P25(x3481)+~P37(x3481)+P17(x3481)
% 0.62/1.13 [349]P34(x3491)+~P1(x3491)+~P25(x3491)+~P3(x3491)+P17(x3491)
% 0.62/1.13 [350]P8(x3501)+~P1(x3501)+~P25(x3501)+~P3(x3501)+P17(x3501)
% 0.62/1.13 [351]P22(x3511)+~P1(x3511)+~P25(x3511)+~P8(x3511)+P17(x3511)
% 0.62/1.13 [352]P35(x3521)+~P1(x3521)+~P25(x3521)+~P37(x3521)+P17(x3521)
% 0.62/1.13 [353]P4(x3531)+~P1(x3531)+~P25(x3531)+~P37(x3531)+P17(x3531)
% 0.62/1.13 [354]P10(x3541)+~P1(x3541)+~P25(x3541)+~P37(x3541)+P17(x3541)
% 0.62/1.13 [364]~P1(x3641)+~P25(x3641)+~P34(x3641)+~P38(x3641)+P40(x3641)
% 0.62/1.13 [382]~P1(x3821)+~P25(x3821)+~P35(x3821)+P17(x3821)+~P9(f48(x3821))
% 0.62/1.13 [383]~P1(x3831)+~P25(x3831)+~P35(x3831)+P17(x3831)+~P9(f36(x3831))
% 0.62/1.13 [393]~P1(x3931)+~P25(x3931)+~P35(x3931)+P17(x3931)+P16(f48(x3931),x3931)
% 0.62/1.13 [394]~P1(x3941)+~P25(x3941)+~P35(x3941)+P17(x3941)+P41(f48(x3941),x3941)
% 0.62/1.13 [395]~P1(x3951)+~P25(x3951)+~P35(x3951)+P17(x3951)+P24(f36(x3951),x3951)
% 0.62/1.13 [396]~P1(x3961)+~P25(x3961)+~P35(x3961)+P17(x3961)+P13(f36(x3961),x3961)
% 0.62/1.13 [415]~P1(x4151)+~P25(x4151)+~P35(x4151)+P17(x4151)+P14(f48(x4151),f44(f53(x4151)))
% 0.62/1.13 [416]~P1(x4161)+~P25(x4161)+~P35(x4161)+P17(x4161)+P14(f36(x4161),f44(f53(x4161)))
% 0.62/1.13 [419]P17(x4192)+P17(x4191)+~P2(x4191)+~P23(x4192,x4191)+E(f47(x4191,x4192),f5(x4191,x4192))
% 0.62/1.13 [421]~P2(x4212)+~P23(x4211,x4212)+P17(x4211)+P17(x4212)+P29(f55(x4212,x4211))
% 0.62/1.13 [429]~P2(x4292)+~P23(x4291,x4292)+P17(x4291)+P17(x4292)+~P9(f55(x4292,x4291))
% 0.62/1.13 [430]~P2(x4302)+~P23(x4301,x4302)+P17(x4301)+P17(x4302)+~P9(f47(x4302,x4301))
% 0.62/1.13 [431]~P2(x4312)+~P23(x4311,x4312)+P17(x4311)+P17(x4312)+P41(f47(x4312,x4311),f4(f6(x4312)))
% 0.62/1.13 [450]~P2(x4502)+~P23(x4501,x4502)+P17(x4501)+P17(x4502)+P14(f47(x4502,x4501),f44(f53(f4(f6(x4502)))))
% 0.62/1.13 [375]P39(x3751)+~P1(x3751)+~P25(x3751)+~P8(x3751)+~P4(x3751)+P17(x3751)
% 0.62/1.13 [448]P17(x4483)+P17(x4482)+~P2(x4482)+~P23(x4483,x4482)+~P20(x4481,f5(x4482,x4483))+E(f49(x4481,x4482,x4483),x4481)
% 0.62/1.13 [455]~P2(x4552)+~P23(x4551,x4552)+P17(x4551)+P17(x4552)+P21(x4552,x4551,f49(x4553,x4552,x4551))+~P20(x4553,f5(x4552,x4551))
% 0.62/1.13 [454]~P2(x4542)+~P23(x4541,x4542)+P17(x4541)+P17(x4542)+~P20(x4543,f5(x4542,x4541))+P14(f49(x4543,x4542,x4541),f44(f53(x4542)))
% 0.62/1.13 [471]~P2(x4711)+~P19(x4714)+~P31(x4713,x4712,x4712)+~P31(x4714,x4712,f53(x4711))+~P27(x4714,x4712,f53(x4711))+P23(f51(x4711,x4712,x4713,x4714),x4711)
% 0.62/1.13 [472]~P2(x4721)+~P19(x4724)+~P31(x4723,x4722,x4722)+~P31(x4724,x4722,f53(x4721))+~P27(x4724,x4722,f53(x4721))+P33(f51(x4721,x4722,x4723,x4724),x4721)
% 0.62/1.13 [388]P38(x3881)+~P1(x3881)+~P25(x3881)+~P8(x3881)+~P4(x3881)+~P40(x3881)+P17(x3881)
% 0.62/1.13 [407]~P25(x4071)+~P35(x4071)+~P4(x4071)+~P38(x4071)+~P39(x4071)+~P1(x4071)+~P9(f50(x4071))
% 0.62/1.13 [411]~P1(x4111)+~P25(x4111)+~P35(x4111)+~P4(x4111)+~P38(x4111)+~P39(x4111)+P16(f50(x4111),x4111)
% 0.62/1.13 [412]~P1(x4121)+~P25(x4121)+~P35(x4121)+~P4(x4121)+~P38(x4121)+~P39(x4121)+P41(f50(x4121),x4121)
% 0.62/1.13 [413]~P1(x4131)+~P25(x4131)+~P35(x4131)+~P4(x4131)+~P38(x4131)+~P39(x4131)+P24(f50(x4131),x4131)
% 0.62/1.13 [414]~P1(x4141)+~P25(x4141)+~P35(x4141)+~P4(x4141)+~P38(x4141)+~P39(x4141)+P13(f50(x4141),x4141)
% 0.62/1.13 [425]~P1(x4251)+~P25(x4251)+~P35(x4251)+~P4(x4251)+~P38(x4251)+~P39(x4251)+P14(f50(x4251),f44(f53(x4251)))
% 0.62/1.13 [433]~P2(x4332)+~P35(x4331)+~P12(x4331)+~P23(x4331,x4332)+P17(x4331)+P17(x4332)+P16(f47(x4332,x4331),f4(f6(x4332)))
% 0.62/1.13 [452]~P2(x4522)+~P35(x4521)+~P12(x4521)+~P23(x4521,x4522)+P17(x4521)+P17(x4522)+P26(f47(x4522,x4521),f44(f53(f4(f6(x4522)))))
% 0.62/1.13 [468]P17(x4681)+P9(x4682)+~P2(x4681)+~P16(x4682,f4(f6(x4681)))+~P41(x4682,f4(f6(x4681)))+E(f47(x4681,f46(x4681,f6(x4681),x4682)),f38(x4682,f37(a3)))+~P14(x4682,f44(f53(f4(f6(x4681)))))
% 0.62/1.13 [478]P9(x4781)+~P31(x4784,x4781,x4781)+~P2(x4782)+~P19(x4783)+~P31(x4783,x4781,f53(x4782))+~P27(x4783,x4781,f53(x4782))+~P17(f51(x4782,x4781,x4784,x4783))
% 0.62/1.13 [474]~P2(x4743)+~P19(x4741)+~P31(x4745,x4744,x4744)+E(x4741,x4742)+~P31(x4741,x4744,f53(x4743))+~P27(x4741,x4744,f53(x4743))+~E(f51(x4743,x4744,x4745,x4741),f51(x4746,x4747,x4748,x4742))
% 0.62/1.13 [475]~P2(x4753)+~P19(x4755)+~P31(x4751,x4754,x4754)+E(x4751,x4752)+~P31(x4755,x4754,f53(x4753))+~P27(x4755,x4754,f53(x4753))+~E(f51(x4753,x4754,x4751,x4755),f51(x4756,x4757,x4752,x4758))
% 0.62/1.13 [476]~P2(x4763)+~P19(x4765)+~P31(x4764,x4761,x4761)+E(x4761,x4762)+~P31(x4765,x4761,f53(x4763))+~P27(x4765,x4761,f53(x4763))+~E(f51(x4763,x4761,x4764,x4765),f51(x4766,x4762,x4767,x4768))
% 0.62/1.13 [477]~P2(x4771)+~P19(x4775)+~P31(x4774,x4773,x4773)+E(x4771,x4772)+~P31(x4775,x4773,f53(x4771))+~P27(x4775,x4773,f53(x4771))+~E(f51(x4771,x4773,x4774,x4775),f51(x4772,x4776,x4777,x4778))
% 0.62/1.13 [409]P37(x4091)+~P1(x4091)+~P25(x4091)+~P35(x4091)+~P4(x4091)+~P40(x4091)+P17(x4091)+~P9(f30(x4091))
% 0.62/1.13 [417]P37(x4171)+~P1(x4171)+~P25(x4171)+~P35(x4171)+~P4(x4171)+~P40(x4171)+P17(x4171)+P16(f30(x4171),x4171)
% 0.62/1.13 [418]P37(x4181)+~P1(x4181)+~P25(x4181)+~P35(x4181)+~P4(x4181)+~P40(x4181)+P17(x4181)+P41(f30(x4181),x4181)
% 0.62/1.13 [427]P37(x4271)+~P1(x4271)+~P25(x4271)+~P35(x4271)+~P4(x4271)+~P40(x4271)+P17(x4271)+P14(f30(x4271),f44(f53(x4271)))
% 0.62/1.13 [428]P37(x4281)+~P1(x4281)+~P25(x4281)+~P35(x4281)+~P4(x4281)+~P40(x4281)+P17(x4281)+P26(f30(x4281),f44(f53(x4281)))
% 0.62/1.13 [456]~P20(x4563,x4561)+P9(x4561)+P9(x4562)+~P9(x4563)+~P16(x4561,f4(x4562))+~P41(x4561,f4(x4562))+~P14(x4561,f44(f53(f4(x4562))))+~P26(x4561,f44(f53(f4(x4562))))
% 0.62/1.13 [453]~P2(x4532)+~P23(x4531,x4532)+~P21(x4532,x4531,x4534)+P17(x4531)+P17(x4532)+~E(x4534,x4533)+P20(x4533,f5(x4532,x4531))+~P14(x4534,f44(f53(x4532)))
% 0.62/1.13 [403]P3(x4031)+~P1(x4031)+~P25(x4031)+~P34(x4031)+~P22(x4031)+~P35(x4031)+~P4(x4031)+~P38(x4031)+P17(x4031)
% 0.62/1.13 [404]P39(x4041)+~P1(x4041)+~P25(x4041)+~P34(x4041)+~P22(x4041)+~P35(x4041)+~P4(x4041)+~P38(x4041)+P17(x4041)
% 0.62/1.13 [406]P5(x4061)+~P1(x4061)+~P25(x4061)+~P34(x4061)+~P22(x4061)+~P35(x4061)+~P4(x4061)+~P38(x4061)+P17(x4061)
% 0.62/1.13 [457]~P2(x4571)+P17(x4571)+P9(x4572)+P9(x4573)+~P16(x4572,f4(x4573))+~P41(x4572,f4(x4573))+P25(f46(x4571,x4573,x4572))+~P14(x4573,f44(f53(x4571)))+~P14(x4572,f44(f53(f4(x4573))))
% 0.62/1.13 [458]~P2(x4581)+P17(x4581)+P9(x4582)+P9(x4583)+~P16(x4582,f4(x4583))+~P41(x4582,f4(x4583))+P35(f46(x4581,x4583,x4582))+~P14(x4583,f44(f53(x4581)))+~P14(x4582,f44(f53(f4(x4583))))
% 0.62/1.13 [460]~P2(x4601)+P17(x4601)+P9(x4602)+P9(x4603)+P23(f46(x4601,x4603,x4602),x4601)+~P16(x4602,f4(x4603))+~P41(x4602,f4(x4603))+~P14(x4603,f44(f53(x4601)))+~P14(x4602,f44(f53(f4(x4603))))
% 0.62/1.13 [462]~P2(x4621)+P17(x4621)+P9(x4622)+P9(x4623)+P33(f46(x4621,x4623,x4622),x4621)+~P16(x4622,f4(x4623))+~P41(x4622,f4(x4623))+~P14(x4623,f44(f53(x4621)))+~P14(x4622,f44(f53(f4(x4623))))
% 0.62/1.13 [464]~P2(x4641)+P17(x4641)+P9(x4642)+P9(x4643)+~P16(x4642,f4(x4643))+~P41(x4642,f4(x4643))+~P17(f46(x4641,x4643,x4642))+~P14(x4643,f44(f53(x4641)))+~P14(x4642,f44(f53(f4(x4643))))
% 0.62/1.13 [467]~P2(x4671)+P17(x4671)+P9(x4672)+P9(x4673)+~P16(x4672,f4(x4673))+~P41(x4672,f4(x4673))+P12(f46(x4671,x4673,x4672))+~P14(x4673,f44(f53(x4671)))+~P14(x4672,f44(f53(f4(x4673))))+~P26(x4672,f44(f53(f4(x4673))))
% 0.62/1.13 %EqnAxiom
% 0.62/1.13 [1]E(x11,x11)
% 0.62/1.13 [2]E(x22,x21)+~E(x21,x22)
% 0.62/1.13 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.62/1.13 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.62/1.13 [5]~E(x51,x52)+E(f51(x51,x53,x54,x55),f51(x52,x53,x54,x55))
% 0.62/1.13 [6]~E(x61,x62)+E(f51(x63,x61,x64,x65),f51(x63,x62,x64,x65))
% 0.62/1.13 [7]~E(x71,x72)+E(f51(x73,x74,x71,x75),f51(x73,x74,x72,x75))
% 0.62/1.13 [8]~E(x81,x82)+E(f51(x83,x84,x85,x81),f51(x83,x84,x85,x82))
% 0.62/1.13 [9]~E(x91,x92)+E(f53(x91),f53(x92))
% 0.62/1.13 [10]~E(x101,x102)+E(f54(x101),f54(x102))
% 0.62/1.13 [11]~E(x111,x112)+E(f44(x111),f44(x112))
% 0.62/1.13 [12]~E(x121,x122)+E(f46(x121,x123,x124),f46(x122,x123,x124))
% 0.62/1.13 [13]~E(x131,x132)+E(f46(x133,x131,x134),f46(x133,x132,x134))
% 0.62/1.13 [14]~E(x141,x142)+E(f46(x143,x144,x141),f46(x143,x144,x142))
% 0.62/1.13 [15]~E(x151,x152)+E(f52(x151,x153),f52(x152,x153))
% 0.62/1.13 [16]~E(x161,x162)+E(f52(x163,x161),f52(x163,x162))
% 0.62/1.13 [17]~E(x171,x172)+E(f33(x171),f33(x172))
% 0.62/1.13 [18]~E(x181,x182)+E(f6(x181),f6(x182))
% 0.62/1.13 [19]~E(x191,x192)+E(f37(x191),f37(x192))
% 0.62/1.13 [20]~E(x201,x202)+E(f21(x201),f21(x202))
% 0.62/1.13 [21]~E(x211,x212)+E(f47(x211,x213),f47(x212,x213))
% 0.62/1.13 [22]~E(x221,x222)+E(f47(x223,x221),f47(x223,x222))
% 0.62/1.13 [23]~E(x231,x232)+E(f55(x231,x233),f55(x232,x233))
% 0.62/1.13 [24]~E(x241,x242)+E(f55(x243,x241),f55(x243,x242))
% 0.62/1.13 [25]~E(x251,x252)+E(f28(x251),f28(x252))
% 0.62/1.13 [26]~E(x261,x262)+E(f27(x261),f27(x262))
% 0.62/1.13 [27]~E(x271,x272)+E(f26(x271),f26(x272))
% 0.62/1.13 [28]~E(x281,x282)+E(f36(x281),f36(x282))
% 0.62/1.13 [29]~E(x291,x292)+E(f29(x291),f29(x292))
% 0.62/1.13 [30]~E(x301,x302)+E(f32(x301),f32(x302))
% 0.62/1.13 [31]~E(x311,x312)+E(f13(x311),f13(x312))
% 0.62/1.13 [32]~E(x321,x322)+E(f30(x321),f30(x322))
% 0.62/1.13 [33]~E(x331,x332)+E(f5(x331,x333),f5(x332,x333))
% 0.62/1.13 [34]~E(x341,x342)+E(f5(x343,x341),f5(x343,x342))
% 0.62/1.13 [35]~E(x351,x352)+E(f50(x351),f50(x352))
% 0.62/1.13 [36]~E(x361,x362)+E(f34(x361),f34(x362))
% 0.62/1.13 [37]~E(x371,x372)+E(f49(x371,x373,x374),f49(x372,x373,x374))
% 0.62/1.13 [38]~E(x381,x382)+E(f49(x383,x381,x384),f49(x383,x382,x384))
% 0.62/1.13 [39]~E(x391,x392)+E(f49(x393,x394,x391),f49(x393,x394,x392))
% 0.62/1.13 [40]~E(x401,x402)+E(f48(x401),f48(x402))
% 0.62/1.13 [41]~E(x411,x412)+E(f41(x411,x413),f41(x412,x413))
% 0.62/1.13 [42]~E(x421,x422)+E(f41(x423,x421),f41(x423,x422))
% 0.62/1.13 [43]~E(x431,x432)+E(f38(x431,x433),f38(x432,x433))
% 0.62/1.13 [44]~E(x441,x442)+E(f38(x443,x441),f38(x443,x442))
% 0.62/1.13 [45]~E(x451,x452)+E(f7(x451,x453),f7(x452,x453))
% 0.62/1.13 [46]~E(x461,x462)+E(f7(x463,x461),f7(x463,x462))
% 0.62/1.13 [47]~E(x471,x472)+E(f43(x471,x473),f43(x472,x473))
% 0.62/1.13 [48]~E(x481,x482)+E(f43(x483,x481),f43(x483,x482))
% 0.62/1.13 [49]~E(x491,x492)+E(f14(x491),f14(x492))
% 0.62/1.13 [50]~E(x501,x502)+E(f39(x501),f39(x502))
% 0.62/1.13 [51]~E(x511,x512)+E(f35(x511),f35(x512))
% 0.62/1.13 [52]~E(x521,x522)+E(f20(x521),f20(x522))
% 0.62/1.13 [53]~E(x531,x532)+E(f19(x531),f19(x532))
% 0.62/1.13 [54]~E(x541,x542)+E(f45(x541,x543),f45(x542,x543))
% 0.62/1.13 [55]~E(x551,x552)+E(f45(x553,x551),f45(x553,x552))
% 0.62/1.13 [56]~E(x561,x562)+E(f42(x561),f42(x562))
% 0.62/1.13 [57]~P1(x571)+P1(x572)+~E(x571,x572)
% 0.62/1.13 [58]~P17(x581)+P17(x582)+~E(x581,x582)
% 0.62/1.13 [59]P27(x592,x593,x594)+~E(x591,x592)+~P27(x591,x593,x594)
% 0.62/1.13 [60]P27(x603,x602,x604)+~E(x601,x602)+~P27(x603,x601,x604)
% 0.62/1.13 [61]P27(x613,x614,x612)+~E(x611,x612)+~P27(x613,x614,x611)
% 0.62/1.13 [62]P31(x622,x623,x624)+~E(x621,x622)+~P31(x621,x623,x624)
% 0.62/1.13 [63]P31(x633,x632,x634)+~E(x631,x632)+~P31(x633,x631,x634)
% 0.62/1.13 [64]P31(x643,x644,x642)+~E(x641,x642)+~P31(x643,x644,x641)
% 0.62/1.13 [65]P14(x652,x653)+~E(x651,x652)+~P14(x651,x653)
% 0.62/1.13 [66]P14(x663,x662)+~E(x661,x662)+~P14(x663,x661)
% 0.62/1.13 [67]~P19(x671)+P19(x672)+~E(x671,x672)
% 0.62/1.13 [68]~P2(x681)+P2(x682)+~E(x681,x682)
% 0.62/1.13 [69]~P9(x691)+P9(x692)+~E(x691,x692)
% 0.62/1.13 [70]P26(x702,x703)+~E(x701,x702)+~P26(x701,x703)
% 0.62/1.13 [71]P26(x713,x712)+~E(x711,x712)+~P26(x713,x711)
% 0.62/1.13 [72]~P28(x721)+P28(x722)+~E(x721,x722)
% 0.62/1.13 [73]~P38(x731)+P38(x732)+~E(x731,x732)
% 0.62/1.13 [74]P16(x742,x743)+~E(x741,x742)+~P16(x741,x743)
% 0.62/1.13 [75]P16(x753,x752)+~E(x751,x752)+~P16(x753,x751)
% 0.62/1.13 [76]~P8(x761)+P8(x762)+~E(x761,x762)
% 0.62/1.13 [77]P21(x772,x773,x774)+~E(x771,x772)+~P21(x771,x773,x774)
% 0.62/1.13 [78]P21(x783,x782,x784)+~E(x781,x782)+~P21(x783,x781,x784)
% 0.62/1.13 [79]P21(x793,x794,x792)+~E(x791,x792)+~P21(x793,x794,x791)
% 0.62/1.13 [80]P41(x802,x803)+~E(x801,x802)+~P41(x801,x803)
% 0.62/1.13 [81]P41(x813,x812)+~E(x811,x812)+~P41(x813,x811)
% 0.62/1.13 [82]~P25(x821)+P25(x822)+~E(x821,x822)
% 0.62/1.13 [83]~P4(x831)+P4(x832)+~E(x831,x832)
% 0.62/1.13 [84]~P35(x841)+P35(x842)+~E(x841,x842)
% 0.62/1.13 [85]~P39(x851)+P39(x852)+~E(x851,x852)
% 0.62/1.13 [86]P20(x862,x863)+~E(x861,x862)+~P20(x861,x863)
% 0.62/1.13 [87]P20(x873,x872)+~E(x871,x872)+~P20(x873,x871)
% 0.62/1.13 [88]P23(x882,x883)+~E(x881,x882)+~P23(x881,x883)
% 0.62/1.13 [89]P23(x893,x892)+~E(x891,x892)+~P23(x893,x891)
% 0.62/1.13 [90]~P40(x901)+P40(x902)+~E(x901,x902)
% 0.62/1.13 [91]~P37(x911)+P37(x912)+~E(x911,x912)
% 0.62/1.13 [92]~P34(x921)+P34(x922)+~E(x921,x922)
% 0.62/1.13 [93]P33(x932,x933)+~E(x931,x932)+~P33(x931,x933)
% 0.62/1.13 [94]P33(x943,x942)+~E(x941,x942)+~P33(x943,x941)
% 0.62/1.13 [95]~P3(x951)+P3(x952)+~E(x951,x952)
% 0.62/1.13 [96]~P29(x961)+P29(x962)+~E(x961,x962)
% 0.62/1.13 [97]P32(x972,x973,x974)+~E(x971,x972)+~P32(x971,x973,x974)
% 0.62/1.13 [98]P32(x983,x982,x984)+~E(x981,x982)+~P32(x983,x981,x984)
% 0.62/1.13 [99]P32(x993,x994,x992)+~E(x991,x992)+~P32(x993,x994,x991)
% 0.62/1.13 [100]P24(x1002,x1003)+~E(x1001,x1002)+~P24(x1001,x1003)
% 0.62/1.13 [101]P24(x1013,x1012)+~E(x1011,x1012)+~P24(x1013,x1011)
% 0.62/1.13 [102]~P15(x1021)+P15(x1022)+~E(x1021,x1022)
% 0.62/1.13 [103]~P5(x1031)+P5(x1032)+~E(x1031,x1032)
% 0.62/1.13 [104]~P11(x1041)+P11(x1042)+~E(x1041,x1042)
% 0.62/1.13 [105]~P22(x1051)+P22(x1052)+~E(x1051,x1052)
% 0.62/1.13 [106]~P7(x1061)+P7(x1062)+~E(x1061,x1062)
% 0.62/1.13 [107]~P18(x1071)+P18(x1072)+~E(x1071,x1072)
% 0.62/1.13 [108]~P12(x1081)+P12(x1082)+~E(x1081,x1082)
% 0.62/1.13 [109]P13(x1092,x1093)+~E(x1091,x1092)+~P13(x1091,x1093)
% 0.62/1.13 [110]P13(x1103,x1102)+~E(x1101,x1102)+~P13(x1103,x1101)
% 0.62/1.13 [111]~P6(x1111)+P6(x1112)+~E(x1111,x1112)
% 0.62/1.13 [112]~P42(x1121)+P42(x1122)+~E(x1121,x1122)
% 0.62/1.13 [113]~P10(x1131)+P10(x1132)+~E(x1131,x1132)
% 0.62/1.13 [114]P36(x1142,x1143)+~E(x1141,x1142)+~P36(x1141,x1143)
% 0.62/1.13 [115]P36(x1153,x1152)+~E(x1151,x1152)+~P36(x1153,x1151)
% 0.62/1.13 [116]~P30(x1161)+P30(x1162)+~E(x1161,x1162)
% 0.62/1.13
% 0.62/1.13 %-------------------------------------------
% 0.62/1.13 cnf(479,plain,
% 0.62/1.13 (E(x4791,f38(x4791,a3))),
% 0.62/1.13 inference(scs_inference,[],[250,2])).
% 0.62/1.13 cnf(480,plain,
% 0.62/1.13 (~P20(x4801,a3)),
% 0.62/1.13 inference(scs_inference,[],[184,250,2,347])).
% 0.62/1.13 cnf(483,plain,
% 0.62/1.13 (P14(f39(x4831),x4831)),
% 0.62/1.13 inference(rename_variables,[],[252])).
% 0.62/1.13 cnf(495,plain,
% 0.62/1.13 (P14(f39(x4951),x4951)),
% 0.62/1.13 inference(rename_variables,[],[252])).
% 0.62/1.13 cnf(496,plain,
% 0.62/1.13 (E(f38(x4961,a3),x4961)),
% 0.62/1.13 inference(rename_variables,[],[250])).
% 0.62/1.13 cnf(498,plain,
% 0.62/1.13 (P31(f41(x4981,x4982),x4981,x4982)),
% 0.62/1.13 inference(rename_variables,[],[259])).
% 0.62/1.13 cnf(500,plain,
% 0.62/1.13 (P31(f41(x5001,x5002),x5001,x5002)),
% 0.62/1.13 inference(rename_variables,[],[259])).
% 0.62/1.13 cnf(502,plain,
% 0.62/1.13 (E(f38(x5021,a3),x5021)),
% 0.62/1.13 inference(rename_variables,[],[250])).
% 0.62/1.13 cnf(504,plain,
% 0.62/1.13 (E(f38(x5041,a3),x5041)),
% 0.62/1.13 inference(rename_variables,[],[250])).
% 0.62/1.13 cnf(505,plain,
% 0.62/1.13 (P20(f39(a40),a40)),
% 0.62/1.13 inference(scs_inference,[],[251,270,273,184,188,194,286,257,259,498,260,252,483,495,250,496,502,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380])).
% 0.62/1.13 cnf(506,plain,
% 0.62/1.13 (P14(f39(x5061),x5061)),
% 0.62/1.13 inference(rename_variables,[],[252])).
% 0.62/1.13 cnf(517,plain,
% 0.62/1.13 (P39(a9)),
% 0.62/1.13 inference(scs_inference,[],[251,270,273,120,143,184,186,188,194,263,286,257,259,498,260,252,483,495,506,250,496,502,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326])).
% 0.62/1.13 cnf(519,plain,
% 0.62/1.13 (P38(a9)),
% 0.62/1.13 inference(scs_inference,[],[251,270,273,120,143,184,186,188,194,263,286,257,259,498,260,252,483,495,506,250,496,502,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325])).
% 0.62/1.13 cnf(527,plain,
% 0.62/1.13 (E(f47(a31,f46(a31,f6(a31),a40)),f38(a40,f37(a3)))),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,120,122,137,139,143,184,186,188,192,194,263,265,253,254,286,257,259,498,260,252,483,495,506,250,496,502,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468])).
% 0.62/1.13 cnf(531,plain,
% 0.62/1.13 (P31(f45(f38(a3,a3),f38(a3,a3)),f38(a3,a3),f38(a3,a3))),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,120,122,137,139,143,184,186,188,192,194,263,265,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444])).
% 0.62/1.13 cnf(543,plain,
% 0.62/1.13 (P14(f38(a3,a3),f44(f38(a3,a3)))),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,120,122,137,139,143,184,185,186,188,192,194,263,265,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384])).
% 0.62/1.13 cnf(569,plain,
% 0.62/1.13 (~P37(f4(a40))),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,120,122,137,139,143,184,185,186,188,192,194,263,265,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321])).
% 0.62/1.13 cnf(592,plain,
% 0.62/1.13 (E(f45(x5921,f38(x5922,a3)),f45(x5921,x5922))),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,120,122,137,139,143,184,185,186,188,192,194,263,265,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55])).
% 0.62/1.13 cnf(658,plain,
% 0.62/1.13 (P14(f6(a31),f44(f53(a31)))),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,120,122,137,139,143,184,185,186,188,192,194,263,265,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390])).
% 0.62/1.13 cnf(674,plain,
% 0.62/1.13 (~E(a2,x6741)+P10(x6741)),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,120,122,137,139,143,184,185,186,188,192,193,194,263,265,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113])).
% 0.62/1.13 cnf(676,plain,
% 0.62/1.13 (~E(a15,a11)),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,120,122,137,139,143,184,185,186,188,192,193,194,263,265,274,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113,102,91])).
% 0.62/1.13 cnf(686,plain,
% 0.62/1.13 (P13(f6(a8),a8)),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,119,120,122,137,139,143,167,184,185,186,188,189,192,193,194,263,265,274,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113,102,91,87,365,401,387,386,367])).
% 0.62/1.13 cnf(688,plain,
% 0.62/1.13 (P16(f6(a8),a8)),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,119,120,122,137,139,143,167,172,184,185,186,188,189,192,193,194,263,265,274,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113,102,91,87,365,401,387,386,367,366])).
% 0.62/1.13 cnf(704,plain,
% 0.62/1.13 (~P9(f6(a31))),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,118,119,120,122,137,139,143,167,172,184,185,186,188,189,192,193,194,261,263,265,274,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113,102,91,87,365,401,387,386,367,366,363,362,361,360,356,355,345,344])).
% 0.62/1.13 cnf(722,plain,
% 0.62/1.13 (P27(f55(a31,f32(a31)),f53(f32(a31)),f53(a31))),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,118,119,120,122,126,137,139,143,167,172,184,185,186,188,189,192,193,194,261,263,265,274,253,254,286,257,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113,102,91,87,365,401,387,386,367,366,363,362,361,360,356,355,345,344,343,342,341,408,399,398,381,439,438])).
% 0.62/1.13 cnf(778,plain,
% 0.62/1.13 (~P20(a3,a40)),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,118,119,120,121,122,126,135,136,137,139,143,150,152,153,161,167,172,178,184,185,186,188,189,192,193,194,261,263,264,265,274,253,254,286,257,258,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113,102,91,87,365,401,387,386,367,366,363,362,361,360,356,355,345,344,343,342,341,408,399,398,381,439,438,379,378,377,376,368,346,402,459,364,351,396,395,394,393,383,382,419,416,415,452,433,414,413,412,411,407,425,456])).
% 0.62/1.13 cnf(792,plain,
% 0.62/1.13 (P23(f46(a31,f6(a31),a40),a31)),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,118,119,120,121,122,126,135,136,137,138,139,143,150,152,153,155,161,163,167,172,178,184,185,186,188,189,192,193,194,261,263,264,265,274,253,254,286,257,258,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113,102,91,87,365,401,387,386,367,366,363,362,361,360,356,355,345,344,343,342,341,408,399,398,381,439,438,379,378,377,376,368,346,402,459,364,351,396,395,394,393,383,382,419,416,415,452,433,414,413,412,411,407,425,456,418,417,409,428,427,462,460])).
% 0.62/1.13 cnf(794,plain,
% 0.62/1.13 (P12(f46(a31,f6(a31),a40))),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,118,119,120,121,122,126,135,136,137,138,139,143,150,152,153,155,161,163,167,172,178,184,185,186,188,189,192,193,194,261,263,264,265,274,253,254,286,257,258,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113,102,91,87,365,401,387,386,367,366,363,362,361,360,356,355,345,344,343,342,341,408,399,398,381,439,438,379,378,377,376,368,346,402,459,364,351,396,395,394,393,383,382,419,416,415,452,433,414,413,412,411,407,425,456,418,417,409,428,427,462,460,467])).
% 0.62/1.13 cnf(796,plain,
% 0.62/1.13 (~E(x7961,a11)+~P42(x7961)),
% 0.62/1.13 inference(scs_inference,[],[134,251,270,273,117,118,119,120,121,122,126,135,136,137,138,139,143,150,152,153,155,161,163,167,172,178,184,185,186,188,189,192,193,194,261,263,264,265,274,275,253,254,286,257,258,259,498,500,260,252,483,495,506,250,496,502,504,241,2,347,437,397,116,115,114,99,98,96,69,66,64,63,58,3,380,420,410,385,327,326,325,354,350,349,468,445,444,389,290,289,288,287,384,374,339,338,337,336,335,334,333,332,331,329,328,321,320,319,318,314,313,312,311,310,304,303,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,449,436,435,423,400,392,391,390,371,359,358,357,424,451,447,113,102,91,87,365,401,387,386,367,366,363,362,361,360,356,355,345,344,343,342,341,408,399,398,381,439,438,379,378,377,376,368,346,402,459,364,351,396,395,394,393,383,382,419,416,415,452,433,414,413,412,411,407,425,456,418,417,409,428,427,462,460,467,112])).
% 0.62/1.13 cnf(812,plain,
% 0.62/1.13 (E(f38(x8121,a3),x8121)),
% 0.62/1.13 inference(rename_variables,[],[250])).
% 0.62/1.13 cnf(814,plain,
% 0.62/1.13 (E(x8141,f38(x8141,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(816,plain,
% 0.62/1.13 (E(x8161,f38(x8161,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(818,plain,
% 0.62/1.13 (E(x8181,f38(x8181,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(820,plain,
% 0.62/1.13 (E(x8201,f38(x8201,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(822,plain,
% 0.62/1.13 (E(x8221,f38(x8221,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(824,plain,
% 0.62/1.13 (E(x8241,f38(x8241,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(826,plain,
% 0.62/1.13 (E(x8261,f38(x8261,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(828,plain,
% 0.62/1.13 (E(x8281,f38(x8281,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(830,plain,
% 0.62/1.13 (E(x8301,f38(x8301,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(832,plain,
% 0.62/1.13 (E(x8321,f38(x8321,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(834,plain,
% 0.62/1.13 (E(x8341,f38(x8341,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(837,plain,
% 0.62/1.13 (E(x8371,f38(x8371,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(839,plain,
% 0.62/1.13 (E(x8391,f38(x8391,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(841,plain,
% 0.62/1.13 (E(x8411,f38(x8411,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(843,plain,
% 0.62/1.13 (E(x8431,f38(x8431,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(845,plain,
% 0.62/1.13 (E(x8451,f38(x8451,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(847,plain,
% 0.62/1.13 (E(x8471,f38(x8471,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(849,plain,
% 0.62/1.13 (E(x8491,f38(x8491,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(853,plain,
% 0.62/1.13 (E(f45(x8531,f38(x8532,a3)),f45(x8531,x8532))),
% 0.62/1.13 inference(rename_variables,[],[592])).
% 0.62/1.13 cnf(855,plain,
% 0.62/1.13 (E(x8551,f38(x8551,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(857,plain,
% 0.62/1.13 (E(x8571,f38(x8571,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(859,plain,
% 0.62/1.13 (E(x8591,f38(x8591,a3))),
% 0.62/1.13 inference(rename_variables,[],[479])).
% 0.62/1.13 cnf(1002,plain,
% 0.62/1.13 ($false),
% 0.62/1.13 inference(scs_inference,[],[134,125,131,133,140,142,144,145,148,151,154,160,162,168,170,173,174,175,180,190,196,197,198,199,200,262,266,267,268,269,271,279,255,147,179,224,228,242,249,123,124,237,201,210,185,265,286,259,122,258,260,137,253,254,263,250,812,136,121,257,120,119,270,273,543,531,794,592,853,479,814,816,818,820,822,824,826,828,830,832,834,837,839,841,843,845,847,849,855,857,859,527,722,658,686,688,480,569,704,792,505,517,519,676,778,796,674,111,108,107,106,105,104,103,95,92,90,86,85,84,83,82,76,74,70,65,62,61,60,59,443,426,464,458,457,373,380,365,387,386,366,363,362,361,360,355,345,342,398,379,378,377,346,402,395,394,393,383,415,412,407,417,409,427,287,381,350,349,419,364,389,110,97,75,66,3,420,410,401,367,356,344,343,341,408,399,439,438,376,368,396,382,416,433,414,413,411,425,456,418,428,2,327,371]),
% 0.62/1.13 ['proof']).
% 0.62/1.13 % SZS output end Proof
% 0.62/1.13 % Total time :0.420000s
%------------------------------------------------------------------------------