TSTP Solution File: GRP628+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 00:12:40 EDT 2023
% Result : Theorem 0.96s 1.05s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 21:39:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.96/1.03 %-------------------------------------------
% 0.96/1.03 % File :CSE---1.6
% 0.96/1.03 % Problem :theBenchmark
% 0.96/1.03 % Transform :cnf
% 0.96/1.03 % Format :tptp:raw
% 0.96/1.03 % Command :java -jar mcs_scs.jar %d %s
% 0.96/1.03
% 0.96/1.03 % Result :Theorem 0.400000s
% 0.96/1.03 % Output :CNFRefutation 0.400000s
% 0.96/1.03 %-------------------------------------------
% 0.96/1.03 %------------------------------------------------------------------------------
% 0.96/1.03 % File : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.96/1.03 % Domain : Group Theory
% 0.96/1.03 % Problem : On the Group of Inner Automorphisms T22
% 0.96/1.03 % Version : [Urb08] axioms : Especial.
% 0.96/1.03 % English :
% 0.96/1.03
% 0.96/1.03 % Refs : [Kor96] Kornilowicz (1996), On the Group of Inner Automorphism
% 0.96/1.03 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.96/1.03 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.96/1.03 % Source : [Urb08]
% 0.96/1.03 % Names : t22_autgroup [Urb08]
% 0.96/1.03
% 0.96/1.03 % Status : Theorem
% 0.96/1.03 % Rating : 0.33 v7.5.0, 0.38 v7.4.0, 0.23 v7.3.0, 0.34 v7.2.0, 0.31 v7.1.0, 0.30 v7.0.0, 0.23 v6.4.0, 0.31 v6.3.0, 0.33 v6.2.0, 0.40 v6.1.0, 0.47 v6.0.0, 0.48 v5.5.0, 0.52 v5.4.0, 0.54 v5.3.0, 0.59 v5.2.0, 0.45 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.52 v4.0.0, 0.54 v3.7.0, 0.55 v3.5.0, 0.58 v3.4.0
% 0.96/1.03 % Syntax : Number of formulae : 77 ( 17 unt; 0 def)
% 0.96/1.03 % Number of atoms : 298 ( 13 equ)
% 0.96/1.03 % Maximal formula atoms : 11 ( 3 avg)
% 0.96/1.03 % Number of connectives : 268 ( 47 ~; 1 |; 148 &)
% 0.96/1.03 % ( 3 <=>; 69 =>; 0 <=; 0 <~>)
% 0.96/1.03 % Maximal formula depth : 10 ( 5 avg)
% 0.96/1.03 % Maximal term depth : 3 ( 1 avg)
% 0.96/1.03 % Number of predicates : 25 ( 23 usr; 1 prp; 0-4 aty)
% 0.96/1.03 % Number of functors : 13 ( 13 usr; 1 con; 0-2 aty)
% 0.96/1.03 % Number of variables : 137 ( 113 !; 24 ?)
% 0.96/1.03 % SPC : FOF_THM_RFO_SEQ
% 0.96/1.03
% 0.96/1.03 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.96/1.04 % other articles) and background that are possibly necessary.
% 0.96/1.04 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.96/1.04 % : The problem encoding is based on set theory.
% 0.96/1.04 %------------------------------------------------------------------------------
% 0.96/1.04 fof(t22_autgroup,conjecture,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v1_group_1(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & v4_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => ! [B] :
% 0.96/1.04 ( m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))
% 0.96/1.04 => ! [C] :
% 0.96/1.04 ( m1_subset_1(C,u1_struct_0(k5_autgroup(A)))
% 0.96/1.04 => ( B = C
% 0.96/1.04 => k2_funct_1(B) = k3_group_1(k5_autgroup(A),C) ) ) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(abstractness_v1_group_1,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( l1_group_1(A)
% 0.96/1.04 => ( v1_group_1(A)
% 0.96/1.04 => A = g1_group_1(u1_struct_0(A),u1_group_1(A)) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(antisymmetry_r2_hidden,axiom,
% 0.96/1.04 ! [A,B] :
% 0.96/1.04 ( r2_hidden(A,B)
% 0.96/1.04 => ~ r2_hidden(B,A) ) ).
% 0.96/1.04
% 0.96/1.04 fof(cc1_fraenkel,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( v1_fraenkel(A)
% 0.96/1.04 => ! [B] :
% 0.96/1.04 ( m1_subset_1(B,A)
% 0.96/1.04 => ( v1_relat_1(B)
% 0.96/1.04 & v1_funct_1(B) ) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(cc1_funct_1,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( v1_xboole_0(A)
% 0.96/1.04 => v1_funct_1(A) ) ).
% 0.96/1.04
% 0.96/1.04 fof(cc1_funct_2,axiom,
% 0.96/1.04 ! [A,B,C] :
% 0.96/1.04 ( m1_relset_1(C,A,B)
% 0.96/1.04 => ( ( v1_funct_1(C)
% 0.96/1.04 & v1_partfun1(C,A,B) )
% 0.96/1.04 => ( v1_funct_1(C)
% 0.96/1.04 & v1_funct_2(C,A,B) ) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(cc1_group_1,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( l1_group_1(A)
% 0.96/1.04 => ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v3_group_1(A) )
% 0.96/1.04 => ( ~ v3_struct_0(A)
% 0.96/1.04 & v2_group_1(A) ) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(cc1_group_2,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & v4_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => ! [B] :
% 0.96/1.04 ( m1_group_2(B,A)
% 0.96/1.04 => v4_group_1(B) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(cc1_relset_1,axiom,
% 0.96/1.04 ! [A,B,C] :
% 0.96/1.04 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 0.96/1.04 => v1_relat_1(C) ) ).
% 0.96/1.04
% 0.96/1.04 fof(cc2_funct_1,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( v1_relat_1(A)
% 0.96/1.04 & v1_xboole_0(A)
% 0.96/1.04 & v1_funct_1(A) )
% 0.96/1.04 => ( v1_relat_1(A)
% 0.96/1.04 & v1_funct_1(A)
% 0.96/1.04 & v2_funct_1(A) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(cc5_funct_2,axiom,
% 0.96/1.04 ! [A,B] :
% 0.96/1.04 ( ~ v1_xboole_0(B)
% 0.96/1.04 => ! [C] :
% 0.96/1.04 ( m1_relset_1(C,A,B)
% 0.96/1.04 => ( ( v1_funct_1(C)
% 0.96/1.04 & v1_funct_2(C,A,B) )
% 0.96/1.04 => ( v1_funct_1(C)
% 0.96/1.04 & v1_partfun1(C,A,B)
% 0.96/1.04 & v1_funct_2(C,A,B) ) ) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(cc6_funct_2,axiom,
% 0.96/1.04 ! [A,B] :
% 0.96/1.04 ( ( ~ v1_xboole_0(A)
% 0.96/1.04 & ~ v1_xboole_0(B) )
% 0.96/1.04 => ! [C] :
% 0.96/1.04 ( m1_relset_1(C,A,B)
% 0.96/1.04 => ( ( v1_funct_1(C)
% 0.96/1.04 & v1_funct_2(C,A,B) )
% 0.96/1.04 => ( v1_funct_1(C)
% 0.96/1.04 & ~ v1_xboole_0(C)
% 0.96/1.04 & v1_partfun1(C,A,B)
% 0.96/1.04 & v1_funct_2(C,A,B) ) ) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(d3_autgroup,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v1_group_1(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & v4_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => k3_autgroup(A) = g1_group_1(k1_autgroup(A),k2_autgroup(A)) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_g1_group_1,axiom,
% 0.96/1.04 ! [A,B] :
% 0.96/1.04 ( ( v1_funct_1(B)
% 0.96/1.04 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 0.96/1.04 & m1_relset_1(B,k2_zfmisc_1(A,A),A) )
% 0.96/1.04 => ( v1_group_1(g1_group_1(A,B))
% 0.96/1.04 & l1_group_1(g1_group_1(A,B)) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k1_autgroup,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v1_group_1(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & v4_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k1_xboole_0,axiom,
% 0.96/1.04 $true ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k1_zfmisc_1,axiom,
% 0.96/1.04 $true ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k2_autgroup,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v1_group_1(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & v4_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => ( v1_funct_1(k2_autgroup(A))
% 0.96/1.04 & v1_funct_2(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A))
% 0.96/1.04 & m2_relset_1(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k2_funct_1,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( v1_relat_1(A)
% 0.96/1.04 & v1_funct_1(A) )
% 0.96/1.04 => ( v1_relat_1(k2_funct_1(A))
% 0.96/1.04 & v1_funct_1(k2_funct_1(A)) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k2_zfmisc_1,axiom,
% 0.96/1.04 $true ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k3_autgroup,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v1_group_1(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & v4_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => ( ~ v3_struct_0(k3_autgroup(A))
% 0.96/1.04 & v1_group_1(k3_autgroup(A))
% 0.96/1.04 & v3_group_1(k3_autgroup(A))
% 0.96/1.04 & v4_group_1(k3_autgroup(A))
% 0.96/1.04 & l1_group_1(k3_autgroup(A)) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k3_group_1,axiom,
% 0.96/1.04 ! [A,B] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & v4_group_1(A)
% 0.96/1.04 & l1_group_1(A)
% 0.96/1.04 & m1_subset_1(B,u1_struct_0(A)) )
% 0.96/1.04 => m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k4_autgroup,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v1_group_1(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & v4_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_k5_autgroup,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v1_group_1(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & v4_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => ( v1_group_1(k5_autgroup(A))
% 0.96/1.04 & v1_group_3(k5_autgroup(A),k3_autgroup(A))
% 0.96/1.04 & m1_group_2(k5_autgroup(A),k3_autgroup(A)) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_l1_group_1,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( l1_group_1(A)
% 0.96/1.04 => l1_struct_0(A) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_l1_struct_0,axiom,
% 0.96/1.04 $true ).
% 0.96/1.04
% 0.96/1.04 fof(dt_m1_fraenkel,axiom,
% 0.96/1.04 ! [A,B,C] :
% 0.96/1.04 ( m1_fraenkel(C,A,B)
% 0.96/1.04 => ( ~ v1_xboole_0(C)
% 0.96/1.04 & v1_fraenkel(C) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_m1_group_2,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => ! [B] :
% 0.96/1.04 ( m1_group_2(B,A)
% 0.96/1.04 => ( ~ v3_struct_0(B)
% 0.96/1.04 & v3_group_1(B)
% 0.96/1.04 & l1_group_1(B) ) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_m1_relset_1,axiom,
% 0.96/1.04 $true ).
% 0.96/1.04
% 0.96/1.04 fof(dt_m1_subset_1,axiom,
% 0.96/1.04 $true ).
% 0.96/1.04
% 0.96/1.04 fof(dt_m2_fraenkel,axiom,
% 0.96/1.04 ! [A,B,C] :
% 0.96/1.04 ( ( ~ v1_xboole_0(B)
% 0.96/1.04 & m1_fraenkel(C,A,B) )
% 0.96/1.04 => ! [D] :
% 0.96/1.04 ( m2_fraenkel(D,A,B,C)
% 0.96/1.04 => ( v1_funct_1(D)
% 0.96/1.04 & v1_funct_2(D,A,B)
% 0.96/1.04 & m2_relset_1(D,A,B) ) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_m2_relset_1,axiom,
% 0.96/1.04 ! [A,B,C] :
% 0.96/1.04 ( m2_relset_1(C,A,B)
% 0.96/1.04 => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_u1_group_1,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( l1_group_1(A)
% 0.96/1.04 => ( v1_funct_1(u1_group_1(A))
% 0.96/1.04 & v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 0.96/1.04 & m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(dt_u1_struct_0,axiom,
% 0.96/1.04 $true ).
% 0.96/1.04
% 0.96/1.04 fof(existence_l1_group_1,axiom,
% 0.96/1.04 ? [A] : l1_group_1(A) ).
% 0.96/1.04
% 0.96/1.04 fof(existence_l1_struct_0,axiom,
% 0.96/1.04 ? [A] : l1_struct_0(A) ).
% 0.96/1.04
% 0.96/1.04 fof(existence_m1_fraenkel,axiom,
% 0.96/1.04 ! [A,B] :
% 0.96/1.04 ? [C] : m1_fraenkel(C,A,B) ).
% 0.96/1.04
% 0.96/1.04 fof(existence_m1_group_2,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ( ( ~ v3_struct_0(A)
% 0.96/1.04 & v3_group_1(A)
% 0.96/1.04 & l1_group_1(A) )
% 0.96/1.04 => ? [B] : m1_group_2(B,A) ) ).
% 0.96/1.04
% 0.96/1.04 fof(existence_m1_relset_1,axiom,
% 0.96/1.04 ! [A,B] :
% 0.96/1.04 ? [C] : m1_relset_1(C,A,B) ).
% 0.96/1.04
% 0.96/1.04 fof(existence_m1_subset_1,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.04 ? [B] : m1_subset_1(B,A) ).
% 0.96/1.04
% 0.96/1.04 fof(existence_m2_fraenkel,axiom,
% 0.96/1.04 ! [A,B,C] :
% 0.96/1.04 ( ( ~ v1_xboole_0(B)
% 0.96/1.04 & m1_fraenkel(C,A,B) )
% 0.96/1.04 => ? [D] : m2_fraenkel(D,A,B,C) ) ).
% 0.96/1.04
% 0.96/1.04 fof(existence_m2_relset_1,axiom,
% 0.96/1.04 ! [A,B] :
% 0.96/1.04 ? [C] : m2_relset_1(C,A,B) ).
% 0.96/1.04
% 0.96/1.04 fof(fc1_group_1,axiom,
% 0.96/1.04 ! [A,B] :
% 0.96/1.04 ( ( ~ v1_xboole_0(A)
% 0.96/1.04 & v1_funct_1(B)
% 0.96/1.04 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 0.96/1.04 & m1_relset_1(B,k2_zfmisc_1(A,A),A) )
% 0.96/1.04 => ( ~ v3_struct_0(g1_group_1(A,B))
% 0.96/1.04 & v1_group_1(g1_group_1(A,B)) ) ) ).
% 0.96/1.04
% 0.96/1.04 fof(fc1_struct_0,axiom,
% 0.96/1.04 ! [A] :
% 0.96/1.05 ( ( ~ v3_struct_0(A)
% 0.96/1.05 & l1_struct_0(A) )
% 0.96/1.05 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 0.96/1.05
% 0.96/1.05 fof(fc1_xboole_0,axiom,
% 0.96/1.05 v1_xboole_0(k1_xboole_0) ).
% 0.96/1.05
% 0.96/1.05 fof(free_g1_group_1,axiom,
% 0.96/1.05 ! [A,B] :
% 0.96/1.05 ( ( v1_funct_1(B)
% 0.96/1.05 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 0.96/1.05 & m1_relset_1(B,k2_zfmisc_1(A,A),A) )
% 0.96/1.05 => ! [C,D] :
% 0.96/1.05 ( g1_group_1(A,B) = g1_group_1(C,D)
% 0.96/1.05 => ( A = C
% 0.96/1.05 & B = D ) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc1_fraenkel,axiom,
% 0.96/1.05 ? [A] :
% 0.96/1.05 ( ~ v1_xboole_0(A)
% 0.96/1.05 & v1_fraenkel(A) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc1_funct_1,axiom,
% 0.96/1.05 ? [A] :
% 0.96/1.05 ( v1_relat_1(A)
% 0.96/1.05 & v1_funct_1(A) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc1_funct_2,axiom,
% 0.96/1.05 ! [A,B] :
% 0.96/1.05 ? [C] :
% 0.96/1.05 ( m1_relset_1(C,A,B)
% 0.96/1.05 & v1_relat_1(C)
% 0.96/1.05 & v1_funct_1(C)
% 0.96/1.05 & v1_funct_2(C,A,B) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc1_group_1,axiom,
% 0.96/1.05 ? [A] :
% 0.96/1.05 ( l1_group_1(A)
% 0.96/1.05 & v1_group_1(A) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc1_group_2,axiom,
% 0.96/1.05 ! [A] :
% 0.96/1.05 ( ( ~ v3_struct_0(A)
% 0.96/1.05 & v3_group_1(A)
% 0.96/1.05 & v4_group_1(A)
% 0.96/1.05 & l1_group_1(A) )
% 0.96/1.05 => ? [B] :
% 0.96/1.05 ( m1_group_2(B,A)
% 0.96/1.05 & ~ v3_struct_0(B)
% 0.96/1.05 & v1_group_1(B)
% 0.96/1.05 & v2_group_1(B)
% 0.96/1.05 & v3_group_1(B)
% 0.96/1.05 & v4_group_1(B) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc1_group_3,axiom,
% 0.96/1.05 ! [A] :
% 0.96/1.05 ( ( ~ v3_struct_0(A)
% 0.96/1.05 & v3_group_1(A)
% 0.96/1.05 & v4_group_1(A)
% 0.96/1.05 & l1_group_1(A) )
% 0.96/1.05 => ? [B] :
% 0.96/1.05 ( m1_group_2(B,A)
% 0.96/1.05 & ~ v3_struct_0(B)
% 0.96/1.05 & v1_group_1(B)
% 0.96/1.05 & v2_group_1(B)
% 0.96/1.05 & v3_group_1(B)
% 0.96/1.05 & v4_group_1(B)
% 0.96/1.05 & v1_group_3(B,A) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc1_partfun1,axiom,
% 0.96/1.05 ? [A] :
% 0.96/1.05 ( v1_relat_1(A)
% 0.96/1.05 & v1_funct_1(A)
% 0.96/1.05 & v2_funct_1(A)
% 0.96/1.05 & v1_xboole_0(A) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc1_xboole_0,axiom,
% 0.96/1.05 ? [A] : v1_xboole_0(A) ).
% 0.96/1.05
% 0.96/1.05 fof(rc2_funct_1,axiom,
% 0.96/1.05 ? [A] :
% 0.96/1.05 ( v1_relat_1(A)
% 0.96/1.05 & v1_xboole_0(A)
% 0.96/1.05 & v1_funct_1(A) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc2_group_1,axiom,
% 0.96/1.05 ? [A] :
% 0.96/1.05 ( l1_group_1(A)
% 0.96/1.05 & ~ v3_struct_0(A)
% 0.96/1.05 & v1_group_1(A) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc2_partfun1,axiom,
% 0.96/1.05 ! [A,B] :
% 0.96/1.05 ? [C] :
% 0.96/1.05 ( m1_relset_1(C,A,B)
% 0.96/1.05 & v1_relat_1(C)
% 0.96/1.05 & v1_funct_1(C) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc2_xboole_0,axiom,
% 0.96/1.05 ? [A] : ~ v1_xboole_0(A) ).
% 0.96/1.05
% 0.96/1.05 fof(rc3_funct_1,axiom,
% 0.96/1.05 ? [A] :
% 0.96/1.05 ( v1_relat_1(A)
% 0.96/1.05 & v1_funct_1(A)
% 0.96/1.05 & v2_funct_1(A) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc3_group_1,axiom,
% 0.96/1.05 ? [A] :
% 0.96/1.05 ( l1_group_1(A)
% 0.96/1.05 & ~ v3_struct_0(A)
% 0.96/1.05 & v1_group_1(A)
% 0.96/1.05 & v2_group_1(A)
% 0.96/1.05 & v3_group_1(A)
% 0.96/1.05 & v4_group_1(A) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc3_struct_0,axiom,
% 0.96/1.05 ? [A] :
% 0.96/1.05 ( l1_struct_0(A)
% 0.96/1.05 & ~ v3_struct_0(A) ) ).
% 0.96/1.05
% 0.96/1.05 fof(rc5_struct_0,axiom,
% 0.96/1.05 ! [A] :
% 0.96/1.05 ( ( ~ v3_struct_0(A)
% 0.96/1.05 & l1_struct_0(A) )
% 0.96/1.05 => ? [B] :
% 0.96/1.05 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.96/1.05 & ~ v1_xboole_0(B) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(redefinition_m2_fraenkel,axiom,
% 0.96/1.05 ! [A,B,C] :
% 0.96/1.05 ( ( ~ v1_xboole_0(B)
% 0.96/1.05 & m1_fraenkel(C,A,B) )
% 0.96/1.05 => ! [D] :
% 0.96/1.05 ( m2_fraenkel(D,A,B,C)
% 0.96/1.05 <=> m1_subset_1(D,C) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(redefinition_m2_relset_1,axiom,
% 0.96/1.05 ! [A,B,C] :
% 0.96/1.05 ( m2_relset_1(C,A,B)
% 0.96/1.05 <=> m1_relset_1(C,A,B) ) ).
% 0.96/1.05
% 0.96/1.05 fof(reflexivity_r1_tarski,axiom,
% 0.96/1.05 ! [A,B] : r1_tarski(A,A) ).
% 0.96/1.05
% 0.96/1.05 fof(t11_autgroup,axiom,
% 0.96/1.05 ! [A] :
% 0.96/1.05 ( ( ~ v3_struct_0(A)
% 0.96/1.05 & v1_group_1(A)
% 0.96/1.05 & v3_group_1(A)
% 0.96/1.05 & v4_group_1(A)
% 0.96/1.05 & l1_group_1(A) )
% 0.96/1.05 => ! [B] :
% 0.96/1.05 ( m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A))
% 0.96/1.05 => ! [C] :
% 0.96/1.05 ( m1_subset_1(C,u1_struct_0(k3_autgroup(A)))
% 0.96/1.05 => ( B = C
% 0.96/1.05 => k2_funct_1(B) = k3_group_1(k3_autgroup(A),C) ) ) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t13_autgroup,axiom,
% 0.96/1.05 ! [A] :
% 0.96/1.05 ( ( ~ v3_struct_0(A)
% 0.96/1.05 & v1_group_1(A)
% 0.96/1.05 & v3_group_1(A)
% 0.96/1.05 & v4_group_1(A)
% 0.96/1.05 & l1_group_1(A) )
% 0.96/1.05 => ! [B] :
% 0.96/1.05 ( m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))
% 0.96/1.05 => m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t1_subset,axiom,
% 0.96/1.05 ! [A,B] :
% 0.96/1.05 ( r2_hidden(A,B)
% 0.96/1.05 => m1_subset_1(A,B) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t2_subset,axiom,
% 0.96/1.05 ! [A,B] :
% 0.96/1.05 ( m1_subset_1(A,B)
% 0.96/1.05 => ( v1_xboole_0(B)
% 0.96/1.05 | r2_hidden(A,B) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t3_subset,axiom,
% 0.96/1.05 ! [A,B] :
% 0.96/1.05 ( m1_subset_1(A,k1_zfmisc_1(B))
% 0.96/1.05 <=> r1_tarski(A,B) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t4_subset,axiom,
% 0.96/1.05 ! [A,B,C] :
% 0.96/1.05 ( ( r2_hidden(A,B)
% 0.96/1.05 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 0.96/1.05 => m1_subset_1(A,C) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t51_group_2,axiom,
% 0.96/1.05 ! [A] :
% 0.96/1.05 ( ( ~ v3_struct_0(A)
% 0.96/1.05 & v3_group_1(A)
% 0.96/1.05 & l1_group_1(A) )
% 0.96/1.05 => ! [B] :
% 0.96/1.05 ( m1_group_2(B,A)
% 0.96/1.05 => ! [C] :
% 0.96/1.05 ( m1_subset_1(C,u1_struct_0(B))
% 0.96/1.05 => m1_subset_1(C,u1_struct_0(A)) ) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t57_group_2,axiom,
% 0.96/1.05 ! [A] :
% 0.96/1.05 ( ( ~ v3_struct_0(A)
% 0.96/1.05 & v3_group_1(A)
% 0.96/1.05 & v4_group_1(A)
% 0.96/1.05 & l1_group_1(A) )
% 0.96/1.05 => ! [B] :
% 0.96/1.05 ( m1_subset_1(B,u1_struct_0(A))
% 0.96/1.05 => ! [C] :
% 0.96/1.05 ( m1_group_2(C,A)
% 0.96/1.05 => ! [D] :
% 0.96/1.05 ( m1_subset_1(D,u1_struct_0(C))
% 0.96/1.05 => ( D = B
% 0.96/1.05 => k3_group_1(C,D) = k3_group_1(A,B) ) ) ) ) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t5_subset,axiom,
% 0.96/1.05 ! [A,B,C] :
% 0.96/1.05 ~ ( r2_hidden(A,B)
% 0.96/1.05 & m1_subset_1(B,k1_zfmisc_1(C))
% 0.96/1.05 & v1_xboole_0(C) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t6_boole,axiom,
% 0.96/1.05 ! [A] :
% 0.96/1.05 ( v1_xboole_0(A)
% 0.96/1.05 => A = k1_xboole_0 ) ).
% 0.96/1.05
% 0.96/1.05 fof(t7_boole,axiom,
% 0.96/1.05 ! [A,B] :
% 0.96/1.05 ~ ( r2_hidden(A,B)
% 0.96/1.05 & v1_xboole_0(B) ) ).
% 0.96/1.05
% 0.96/1.05 fof(t8_boole,axiom,
% 0.96/1.05 ! [A,B] :
% 0.96/1.05 ~ ( v1_xboole_0(A)
% 0.96/1.05 & A != B
% 0.96/1.05 & v1_xboole_0(B) ) ).
% 0.96/1.05
% 0.96/1.05 %------------------------------------------------------------------------------
% 0.96/1.05 %-------------------------------------------
% 0.96/1.05 % Proof found
% 0.96/1.05 % SZS status Theorem for theBenchmark
% 0.96/1.05 % SZS output start Proof
% 0.96/1.05 %ClaNum:214(EqnAxiom:77)
% 0.96/1.05 %VarNum:575(SingletonVarNum:174)
% 0.96/1.05 %MaxLitNum:9
% 0.96/1.05 %MaxfuncDepth:2
% 0.96/1.05 %SharedTerms:64
% 0.96/1.05 %goalClause: 78 79 83 85 87 112 123 124 130
% 0.96/1.05 %singleGoalClaCount:9
% 0.96/1.05 [78]E(a1,a2)
% 0.96/1.05 [79]P1(a3)
% 0.96/1.05 [80]P1(a4)
% 0.96/1.05 [81]P1(a14)
% 0.96/1.05 [82]P1(a16)
% 0.96/1.05 [83]P15(a3)
% 0.96/1.05 [84]P15(a16)
% 0.96/1.05 [85]P22(a3)
% 0.96/1.05 [86]P22(a16)
% 0.96/1.05 [87]P2(a3)
% 0.96/1.05 [88]P2(a22)
% 0.96/1.05 [89]P2(a4)
% 0.96/1.05 [90]P2(a14)
% 0.96/1.05 [91]P2(a16)
% 0.96/1.05 [92]P3(a5)
% 0.96/1.05 [93]P16(a8)
% 0.96/1.05 [94]P16(a10)
% 0.96/1.05 [95]P16(a15)
% 0.96/1.05 [96]P16(a17)
% 0.96/1.05 [97]P13(a8)
% 0.96/1.05 [98]P13(a10)
% 0.96/1.05 [99]P13(a15)
% 0.96/1.05 [100]P13(a17)
% 0.96/1.05 [101]P19(a23)
% 0.96/1.05 [102]P19(a10)
% 0.96/1.05 [103]P19(a13)
% 0.96/1.05 [104]P19(a15)
% 0.96/1.05 [105]P20(a16)
% 0.96/1.05 [106]P21(a10)
% 0.96/1.05 [107]P21(a17)
% 0.96/1.05 [108]P4(a24)
% 0.96/1.05 [109]P4(a20)
% 0.96/1.05 [124]~P23(a3)
% 0.96/1.05 [125]~P23(a14)
% 0.96/1.05 [126]~P23(a16)
% 0.96/1.05 [127]~P23(a20)
% 0.96/1.05 [128]~P19(a5)
% 0.96/1.05 [129]~P19(a19)
% 0.96/1.05 [123]P11(a2,f39(a3),f39(a3),f32(a3))
% 0.96/1.05 [112]P6(a1,f39(f31(a3)))
% 0.96/1.05 [130]~E(f33(f31(a3),a1),f34(a2))
% 0.96/1.05 [110]P5(x1101,x1101)
% 0.96/1.05 [111]P6(f25(x1111),x1111)
% 0.96/1.05 [113]P16(f9(x1131,x1132))
% 0.96/1.05 [114]P16(f18(x1141,x1142))
% 0.96/1.05 [115]P13(f9(x1151,x1152))
% 0.96/1.05 [116]P13(f18(x1161,x1162))
% 0.96/1.05 [117]P7(f26(x1171,x1172),x1171,x1172)
% 0.96/1.05 [118]P7(f9(x1181,x1182),x1181,x1182)
% 0.96/1.05 [119]P7(f18(x1191,x1192),x1191,x1192)
% 0.96/1.05 [120]P14(f9(x1201,x1202),x1201,x1202)
% 0.96/1.05 [121]P8(f27(x1211,x1212),x1211,x1212)
% 0.96/1.05 [122]P10(f6(x1221,x1222),x1221,x1222)
% 0.96/1.05 [131]~P19(x1311)+E(x1311,a23)
% 0.96/1.05 [132]~P19(x1321)+P13(x1321)
% 0.96/1.05 [133]~P2(x1331)+P4(x1331)
% 0.96/1.05 [135]~P2(x1351)+P13(f40(x1351))
% 0.96/1.05 [189]~P2(x1891)+P14(f40(x1891),f38(f39(x1891),f39(x1891)),f39(x1891))
% 0.96/1.05 [190]~P2(x1901)+P10(f40(x1901),f38(f39(x1901),f39(x1901)),f39(x1901))
% 0.96/1.05 [142]~P19(x1421)+~P12(x1422,x1421)
% 0.96/1.05 [153]~P12(x1531,x1532)+P6(x1531,x1532)
% 0.96/1.05 [166]~P12(x1662,x1661)+~P12(x1661,x1662)
% 0.96/1.05 [159]~P5(x1591,x1592)+P6(x1591,f35(x1592))
% 0.96/1.05 [172]P5(x1721,x1722)+~P6(x1721,f35(x1722))
% 0.96/1.05 [182]P3(x1821)+~P8(x1821,x1822,x1823)
% 0.96/1.05 [183]~P19(x1831)+~P8(x1831,x1832,x1833)
% 0.96/1.05 [191]~P10(x1911,x1912,x1913)+P7(x1911,x1912,x1913)
% 0.96/1.05 [192]~P7(x1921,x1922,x1923)+P10(x1921,x1922,x1923)
% 0.96/1.05 [188]P16(x1881)+~P6(x1881,f35(f38(x1882,x1883)))
% 0.96/1.05 [196]~P10(x1961,x1962,x1963)+P6(x1961,f35(f38(x1962,x1963)))
% 0.96/1.05 [137]~P16(x1371)+~P13(x1371)+P16(f34(x1371))
% 0.96/1.05 [138]~P16(x1381)+~P13(x1381)+P13(f34(x1381))
% 0.96/1.05 [140]~P4(x1401)+P23(x1401)+~P19(f39(x1401))
% 0.96/1.05 [141]~P4(x1411)+P23(x1411)+~P19(f21(x1411))
% 0.96/1.05 [156]~P1(x1561)+~P2(x1561)+E(f29(f39(x1561),f40(x1561)),x1561)
% 0.96/1.05 [175]~P4(x1751)+P23(x1751)+P6(f21(x1751),f35(f39(x1751)))
% 0.96/1.05 [134]~P19(x1342)+~P19(x1341)+E(x1341,x1342)
% 0.96/1.05 [143]~P6(x1431,x1432)+P16(x1431)+~P3(x1432)
% 0.96/1.05 [144]~P6(x1441,x1442)+P13(x1441)+~P3(x1442)
% 0.96/1.05 [155]~P6(x1552,x1551)+P19(x1551)+P12(x1552,x1551)
% 0.96/1.05 [179]~P19(x1791)+~P12(x1792,x1793)+~P6(x1793,f35(x1791))
% 0.96/1.05 [181]P6(x1811,x1812)+~P12(x1811,x1813)+~P6(x1813,f35(x1812))
% 0.96/1.05 [208]~P8(x2083,x2082,x2081)+P19(x2081)+P11(f7(x2082,x2081,x2083),x2082,x2081,x2083)
% 0.96/1.05 [136]P20(x1361)+~P15(x1361)+~P2(x1361)+P23(x1361)
% 0.96/1.05 [139]~P16(x1391)+~P13(x1391)+~P19(x1391)+P21(x1391)
% 0.96/1.05 [154]~P15(x1541)+~P2(x1541)+P23(x1541)+P9(f28(x1541),x1541)
% 0.96/1.05 [201]~P13(x2012)+~P7(x2012,f38(x2011,x2011),x2011)+~P14(x2012,f38(x2011,x2011),x2011)+P1(f29(x2011,x2012))
% 0.96/1.05 [202]~P13(x2022)+~P7(x2022,f38(x2021,x2021),x2021)+~P14(x2022,f38(x2021,x2021),x2021)+P2(f29(x2021,x2022))
% 0.96/1.05 [198]~P13(x1981)+~P7(x1981,x1982,x1983)+~P18(x1981,x1982,x1983)+P14(x1981,x1982,x1983)
% 0.96/1.05 [207]~P6(x2072,x2074)+~P8(x2074,x2073,x2071)+P19(x2071)+P11(x2072,x2073,x2071,x2074)
% 0.96/1.05 [209]~P11(x2091,x2094,x2092,x2093)+P13(x2091)+~P8(x2093,x2094,x2092)+P19(x2092)
% 0.96/1.05 [210]~P11(x2102,x2104,x2101,x2103)+P19(x2101)+~P8(x2103,x2104,x2101)+P6(x2102,x2103)
% 0.96/1.05 [212]~P11(x2122,x2123,x2121,x2124)+P19(x2121)+P14(x2122,x2123,x2121)+~P8(x2124,x2123,x2121)
% 0.96/1.05 [213]~P11(x2132,x2133,x2131,x2134)+P19(x2131)+P10(x2132,x2133,x2131)+~P8(x2134,x2133,x2131)
% 0.96/1.05 [145]~P15(x1451)+~P22(x1451)+~P2(x1451)+P23(x1451)+P1(f11(x1451))
% 0.96/1.05 [146]~P15(x1461)+~P22(x1461)+~P2(x1461)+P23(x1461)+P1(f12(x1461))
% 0.96/1.05 [147]~P15(x1471)+~P22(x1471)+~P2(x1471)+P23(x1471)+P15(f11(x1471))
% 0.96/1.05 [148]~P15(x1481)+~P22(x1481)+~P2(x1481)+P23(x1481)+P15(f12(x1481))
% 0.96/1.05 [149]~P15(x1491)+~P22(x1491)+~P2(x1491)+P23(x1491)+P22(f11(x1491))
% 0.96/1.05 [150]~P15(x1501)+~P22(x1501)+~P2(x1501)+P23(x1501)+P22(f12(x1501))
% 0.96/1.05 [151]~P15(x1511)+~P22(x1511)+~P2(x1511)+P23(x1511)+P20(f11(x1511))
% 0.96/1.05 [152]~P15(x1521)+~P22(x1521)+~P2(x1521)+P23(x1521)+P20(f12(x1521))
% 0.96/1.05 [157]~P15(x1571)+~P22(x1571)+~P2(x1571)+P23(x1571)+~P23(f11(x1571))
% 0.96/1.05 [158]~P15(x1581)+~P22(x1581)+~P2(x1581)+P23(x1581)+~P23(f12(x1581))
% 0.96/1.05 [169]~P15(x1691)+~P22(x1691)+~P2(x1691)+P23(x1691)+P9(f11(x1691),x1691)
% 0.96/1.05 [170]~P15(x1701)+~P22(x1701)+~P2(x1701)+P23(x1701)+P9(f12(x1701),x1701)
% 0.96/1.05 [171]~P15(x1711)+~P22(x1711)+~P2(x1711)+P23(x1711)+P17(f12(x1711),x1711)
% 0.96/1.05 [167]~P15(x1671)+~P2(x1671)+~P9(x1672,x1671)+P23(x1671)+P15(x1672)
% 0.96/1.05 [168]~P15(x1681)+~P2(x1681)+~P9(x1682,x1681)+P23(x1681)+P2(x1682)
% 0.96/1.05 [173]~P15(x1731)+~P2(x1731)+~P9(x1732,x1731)+P23(x1731)+~P23(x1732)
% 0.96/1.05 [206]P19(x2061)+~P13(x2062)+~P7(x2062,f38(x2061,x2061),x2061)+~P14(x2062,f38(x2061,x2061),x2061)+~P23(f29(x2061,x2062))
% 0.96/1.05 [199]~P13(x1992)+~P7(x1992,x1993,x1991)+~P14(x1992,x1993,x1991)+P19(x1991)+P18(x1992,x1993,x1991)
% 0.96/1.05 [204]~P13(x2041)+E(x2041,x2042)+~P7(x2041,f38(x2043,x2043),x2043)+~P14(x2041,f38(x2043,x2043),x2043)+~E(f29(x2043,x2041),f29(x2044,x2042))
% 0.96/1.05 [205]~P13(x2053)+E(x2051,x2052)+~P7(x2053,f38(x2051,x2051),x2051)+~P14(x2053,f38(x2051,x2051),x2051)+~E(f29(x2051,x2053),f29(x2052,x2054))
% 0.96/1.05 [160]~P1(x1601)+~P15(x1601)+~P22(x1601)+~P2(x1601)+P23(x1601)+P1(f31(x1601))
% 0.96/1.05 [161]~P1(x1611)+~P15(x1611)+~P22(x1611)+~P2(x1611)+P23(x1611)+P1(f37(x1611))
% 0.96/1.05 [162]~P1(x1621)+~P15(x1621)+~P22(x1621)+~P2(x1621)+P23(x1621)+P15(f37(x1621))
% 0.96/1.05 [163]~P1(x1631)+~P15(x1631)+~P22(x1631)+~P2(x1631)+P23(x1631)+P22(f37(x1631))
% 0.96/1.05 [164]~P1(x1641)+~P15(x1641)+~P22(x1641)+~P2(x1641)+P23(x1641)+P2(f37(x1641))
% 0.96/1.05 [165]~P1(x1651)+~P15(x1651)+~P22(x1651)+~P2(x1651)+P23(x1651)+P13(f36(x1651))
% 0.96/1.05 [174]~P1(x1741)+~P15(x1741)+~P22(x1741)+~P2(x1741)+P23(x1741)+~P23(f37(x1741))
% 0.96/1.05 [177]~P1(x1771)+~P15(x1771)+~P22(x1771)+~P2(x1771)+P23(x1771)+P9(f31(x1771),f37(x1771))
% 0.96/1.05 [178]~P1(x1781)+~P15(x1781)+~P22(x1781)+~P2(x1781)+P23(x1781)+P17(f31(x1781),f37(x1781))
% 0.96/1.05 [186]~P1(x1861)+~P15(x1861)+~P22(x1861)+~P2(x1861)+P23(x1861)+P8(f32(x1861),f39(x1861),f39(x1861))
% 0.96/1.05 [187]~P1(x1871)+~P15(x1871)+~P22(x1871)+~P2(x1871)+P23(x1871)+P8(f30(x1871),f39(x1871),f39(x1871))
% 0.96/1.05 [180]P23(x1801)+~P1(x1801)+~P15(x1801)+~P22(x1801)+~P2(x1801)+E(f29(f30(x1801),f36(x1801)),f37(x1801))
% 0.96/1.05 [194]~P1(x1941)+~P15(x1941)+~P22(x1941)+~P2(x1941)+P23(x1941)+P14(f36(x1941),f38(f30(x1941),f30(x1941)),f30(x1941))
% 0.96/1.05 [195]~P1(x1951)+~P15(x1951)+~P22(x1951)+~P2(x1951)+P23(x1951)+P10(f36(x1951),f38(f30(x1951),f30(x1951)),f30(x1951))
% 0.96/1.05 [176]~P15(x1761)+~P22(x1761)+~P2(x1761)+~P9(x1762,x1761)+P23(x1761)+P22(x1762)
% 0.96/1.05 [185]~P15(x1851)+~P22(x1851)+~P2(x1851)+P23(x1851)+~P6(x1852,f39(x1851))+P6(f33(x1851,x1852),f39(x1851))
% 0.96/1.05 [197]~P19(x1973)+~P7(x1973,x1972,x1971)+~P14(x1973,x1972,x1971)+P19(x1971)+P19(x1972)+~P13(x1973)
% 0.96/1.05 [184]~P15(x1841)+~P2(x1841)+P23(x1841)+~P9(x1843,x1841)+~P6(x1842,f39(x1843))+P6(x1842,f39(x1841))
% 0.96/1.05 [214]~P1(x2141)+~P15(x2141)+~P22(x2141)+~P2(x2141)+P23(x2141)+~P11(x2142,f39(x2141),f39(x2141),f32(x2141))+P11(x2142,f39(x2141),f39(x2141),f30(x2141))
% 0.96/1.05 [211]P23(x2112)+~E(x2111,x2113)+~P1(x2112)+~P15(x2112)+~P22(x2112)+~P2(x2112)+~P11(x2111,f39(x2112),f39(x2112),f30(x2112))+E(f34(x2111),f33(f37(x2112),x2113))+~P6(x2113,f39(f37(x2112)))
% 0.96/1.05 [193]P23(x1931)+~E(x1932,x1934)+~P15(x1931)+~P22(x1931)+~P2(x1931)+~P9(x1933,x1931)+~P6(x1934,f39(x1933))+~P6(x1932,f39(x1931))+E(f33(x1931,x1932),f33(x1933,x1934))
% 0.96/1.05 %EqnAxiom
% 0.96/1.05 [1]E(x11,x11)
% 0.96/1.05 [2]E(x22,x21)+~E(x21,x22)
% 0.96/1.05 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.96/1.05 [4]~E(x41,x42)+E(f25(x41),f25(x42))
% 0.96/1.05 [5]~E(x51,x52)+E(f31(x51),f31(x52))
% 0.96/1.05 [6]~E(x61,x62)+E(f39(x61),f39(x62))
% 0.96/1.05 [7]~E(x71,x72)+E(f9(x71,x73),f9(x72,x73))
% 0.96/1.05 [8]~E(x81,x82)+E(f9(x83,x81),f9(x83,x82))
% 0.96/1.05 [9]~E(x91,x92)+E(f18(x91,x93),f18(x92,x93))
% 0.96/1.05 [10]~E(x101,x102)+E(f18(x103,x101),f18(x103,x102))
% 0.96/1.05 [11]~E(x111,x112)+E(f38(x111,x113),f38(x112,x113))
% 0.96/1.05 [12]~E(x121,x122)+E(f38(x123,x121),f38(x123,x122))
% 0.96/1.05 [13]~E(x131,x132)+E(f35(x131),f35(x132))
% 0.96/1.05 [14]~E(x141,x142)+E(f26(x141,x143),f26(x142,x143))
% 0.96/1.05 [15]~E(x151,x152)+E(f26(x153,x151),f26(x153,x152))
% 0.96/1.05 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.96/1.05 [17]~E(x171,x172)+E(f40(x171),f40(x172))
% 0.96/1.05 [18]~E(x181,x182)+E(f29(x181,x183),f29(x182,x183))
% 0.96/1.05 [19]~E(x191,x192)+E(f29(x193,x191),f29(x193,x192))
% 0.96/1.05 [20]~E(x201,x202)+E(f27(x201,x203),f27(x202,x203))
% 0.96/1.05 [21]~E(x211,x212)+E(f27(x213,x211),f27(x213,x212))
% 0.96/1.05 [22]~E(x221,x222)+E(f6(x221,x223),f6(x222,x223))
% 0.96/1.05 [23]~E(x231,x232)+E(f6(x233,x231),f6(x233,x232))
% 0.96/1.05 [24]~E(x241,x242)+E(f36(x241),f36(x242))
% 0.96/1.05 [25]~E(x251,x252)+E(f37(x251),f37(x252))
% 0.96/1.05 [26]~E(x261,x262)+E(f32(x261),f32(x262))
% 0.96/1.05 [27]~E(x271,x272)+E(f11(x271),f11(x272))
% 0.96/1.05 [28]~E(x281,x282)+E(f33(x281,x283),f33(x282,x283))
% 0.96/1.05 [29]~E(x291,x292)+E(f33(x293,x291),f33(x293,x292))
% 0.96/1.05 [30]~E(x301,x302)+E(f34(x301),f34(x302))
% 0.96/1.05 [31]~E(x311,x312)+E(f12(x311),f12(x312))
% 0.96/1.05 [32]~E(x321,x322)+E(f28(x321),f28(x322))
% 0.96/1.05 [33]~E(x331,x332)+E(f7(x331,x333,x334),f7(x332,x333,x334))
% 0.96/1.05 [34]~E(x341,x342)+E(f7(x343,x341,x344),f7(x343,x342,x344))
% 0.96/1.05 [35]~E(x351,x352)+E(f7(x353,x354,x351),f7(x353,x354,x352))
% 0.96/1.05 [36]~E(x361,x362)+E(f21(x361),f21(x362))
% 0.96/1.05 [37]~P1(x371)+P1(x372)+~E(x371,x372)
% 0.96/1.05 [38]P11(x382,x383,x384,x385)+~E(x381,x382)+~P11(x381,x383,x384,x385)
% 0.96/1.05 [39]P11(x393,x392,x394,x395)+~E(x391,x392)+~P11(x393,x391,x394,x395)
% 0.96/1.05 [40]P11(x403,x404,x402,x405)+~E(x401,x402)+~P11(x403,x404,x401,x405)
% 0.96/1.05 [41]P11(x413,x414,x415,x412)+~E(x411,x412)+~P11(x413,x414,x415,x411)
% 0.96/1.05 [42]~P2(x421)+P2(x422)+~E(x421,x422)
% 0.96/1.05 [43]~P22(x431)+P22(x432)+~E(x431,x432)
% 0.96/1.05 [44]~P15(x441)+P15(x442)+~E(x441,x442)
% 0.96/1.05 [45]P8(x452,x453,x454)+~E(x451,x452)+~P8(x451,x453,x454)
% 0.96/1.05 [46]P8(x463,x462,x464)+~E(x461,x462)+~P8(x463,x461,x464)
% 0.96/1.05 [47]P8(x473,x474,x472)+~E(x471,x472)+~P8(x473,x474,x471)
% 0.96/1.05 [48]~P23(x481)+P23(x482)+~E(x481,x482)
% 0.96/1.05 [49]~P19(x491)+P19(x492)+~E(x491,x492)
% 0.96/1.05 [50]P6(x502,x503)+~E(x501,x502)+~P6(x501,x503)
% 0.96/1.05 [51]P6(x513,x512)+~E(x511,x512)+~P6(x513,x511)
% 0.96/1.05 [52]P12(x522,x523)+~E(x521,x522)+~P12(x521,x523)
% 0.96/1.05 [53]P12(x533,x532)+~E(x531,x532)+~P12(x533,x531)
% 0.96/1.05 [54]P14(x542,x543,x544)+~E(x541,x542)+~P14(x541,x543,x544)
% 0.96/1.05 [55]P14(x553,x552,x554)+~E(x551,x552)+~P14(x553,x551,x554)
% 0.96/1.05 [56]P14(x563,x564,x562)+~E(x561,x562)+~P14(x563,x564,x561)
% 0.96/1.05 [57]P7(x572,x573,x574)+~E(x571,x572)+~P7(x571,x573,x574)
% 0.96/1.05 [58]P7(x583,x582,x584)+~E(x581,x582)+~P7(x583,x581,x584)
% 0.96/1.05 [59]P7(x593,x594,x592)+~E(x591,x592)+~P7(x593,x594,x591)
% 0.96/1.05 [60]~P16(x601)+P16(x602)+~E(x601,x602)
% 0.96/1.05 [61]~P3(x611)+P3(x612)+~E(x611,x612)
% 0.96/1.05 [62]~P20(x621)+P20(x622)+~E(x621,x622)
% 0.96/1.05 [63]P10(x632,x633,x634)+~E(x631,x632)+~P10(x631,x633,x634)
% 0.96/1.05 [64]P10(x643,x642,x644)+~E(x641,x642)+~P10(x643,x641,x644)
% 0.96/1.05 [65]P10(x653,x654,x652)+~E(x651,x652)+~P10(x653,x654,x651)
% 0.96/1.05 [66]P17(x662,x663)+~E(x661,x662)+~P17(x661,x663)
% 0.96/1.05 [67]P17(x673,x672)+~E(x671,x672)+~P17(x673,x671)
% 0.96/1.05 [68]~P4(x681)+P4(x682)+~E(x681,x682)
% 0.96/1.05 [69]~P13(x691)+P13(x692)+~E(x691,x692)
% 0.96/1.05 [70]P9(x702,x703)+~E(x701,x702)+~P9(x701,x703)
% 0.96/1.05 [71]P9(x713,x712)+~E(x711,x712)+~P9(x713,x711)
% 0.96/1.05 [72]P18(x722,x723,x724)+~E(x721,x722)+~P18(x721,x723,x724)
% 0.96/1.05 [73]P18(x733,x732,x734)+~E(x731,x732)+~P18(x733,x731,x734)
% 0.96/1.05 [74]P18(x743,x744,x742)+~E(x741,x742)+~P18(x743,x744,x741)
% 0.96/1.05 [75]P5(x752,x753)+~E(x751,x752)+~P5(x751,x753)
% 0.96/1.05 [76]P5(x763,x762)+~E(x761,x762)+~P5(x763,x761)
% 0.96/1.05 [77]~P21(x771)+P21(x772)+~E(x771,x772)
% 0.96/1.05
% 0.96/1.05 %-------------------------------------------
% 0.96/1.05 cnf(215,plain,
% 0.96/1.05 (E(a2,a1)),
% 0.96/1.05 inference(scs_inference,[],[78,2])).
% 0.96/1.05 cnf(216,plain,
% 0.96/1.05 (~P8(a23,x2161,x2162)),
% 0.96/1.05 inference(scs_inference,[],[78,101,2,183])).
% 0.96/1.05 cnf(218,plain,
% 0.96/1.05 (~P12(x2181,a23)),
% 0.96/1.05 inference(scs_inference,[],[78,101,2,183,142])).
% 0.96/1.05 cnf(220,plain,
% 0.96/1.05 (P5(f25(f35(x2201)),x2201)),
% 0.96/1.05 inference(scs_inference,[],[78,101,111,2,183,142,172])).
% 0.96/1.05 cnf(221,plain,
% 0.96/1.05 (P6(f25(x2211),x2211)),
% 0.96/1.05 inference(rename_variables,[],[111])).
% 0.96/1.05 cnf(228,plain,
% 0.96/1.05 (P7(f26(x2281,x2282),x2281,x2282)),
% 0.96/1.05 inference(rename_variables,[],[117])).
% 0.96/1.05 cnf(230,plain,
% 0.96/1.05 (P7(f26(x2301,x2302),x2301,x2302)),
% 0.96/1.05 inference(rename_variables,[],[117])).
% 0.96/1.05 cnf(232,plain,
% 0.96/1.05 (P14(f9(a1,a1),a2,a1)),
% 0.96/1.05 inference(scs_inference,[],[78,110,101,117,228,120,122,111,2,183,142,172,76,75,65,64,59,58,56,55])).
% 0.96/1.05 cnf(234,plain,
% 0.96/1.05 (P6(f25(x2341),x2341)),
% 0.96/1.05 inference(rename_variables,[],[111])).
% 0.96/1.05 cnf(235,plain,
% 0.96/1.05 (P6(a2,f39(f31(a3)))),
% 0.96/1.05 inference(scs_inference,[],[78,110,101,112,117,228,120,122,111,221,2,183,142,172,76,75,65,64,59,58,56,55,51,50])).
% 0.96/1.05 cnf(239,plain,
% 0.96/1.05 (P11(a1,f39(a3),f39(a3),f32(a3))),
% 0.96/1.05 inference(scs_inference,[],[78,110,101,112,123,117,228,120,121,122,111,221,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38])).
% 0.96/1.05 cnf(240,plain,
% 0.96/1.05 (P12(f25(a5),a5)),
% 0.96/1.05 inference(scs_inference,[],[78,110,101,128,112,123,117,228,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155])).
% 0.96/1.05 cnf(252,plain,
% 0.96/1.05 (P3(f27(a1,a1))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182])).
% 0.96/1.05 cnf(260,plain,
% 0.96/1.05 (E(a10,a23)),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131])).
% 0.96/1.05 cnf(262,plain,
% 0.96/1.05 (P6(a1,f35(a1))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159])).
% 0.96/1.05 cnf(267,plain,
% 0.96/1.05 (E(f7(x2671,x2672,a1),f7(x2671,x2672,a2))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35])).
% 0.96/1.05 cnf(268,plain,
% 0.96/1.05 (E(f7(x2681,a1,x2682),f7(x2681,a2,x2682))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34])).
% 0.96/1.05 cnf(269,plain,
% 0.96/1.05 (E(f7(a1,x2691,x2692),f7(a2,x2691,x2692))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33])).
% 0.96/1.05 cnf(272,plain,
% 0.96/1.05 (E(f34(a1),f34(a2))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30])).
% 0.96/1.05 cnf(273,plain,
% 0.96/1.05 (E(f33(x2731,a1),f33(x2731,a2))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29])).
% 0.96/1.05 cnf(279,plain,
% 0.96/1.05 (E(f6(x2791,a1),f6(x2791,a2))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23])).
% 0.96/1.05 cnf(280,plain,
% 0.96/1.05 (E(f6(a1,x2801),f6(a2,x2801))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22])).
% 0.96/1.05 cnf(281,plain,
% 0.96/1.05 (E(f27(x2811,a1),f27(x2811,a2))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21])).
% 0.96/1.05 cnf(282,plain,
% 0.96/1.05 (E(f27(a1,x2821),f27(a2,x2821))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20])).
% 0.96/1.05 cnf(289,plain,
% 0.96/1.05 (E(f35(a1),f35(a2))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 0.96/1.05 cnf(294,plain,
% 0.96/1.05 (E(f9(x2941,a1),f9(x2941,a2))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 0.96/1.05 cnf(295,plain,
% 0.96/1.05 (E(f9(a1,x2951),f9(a2,x2951))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 0.96/1.05 cnf(299,plain,
% 0.96/1.05 (P6(f6(a1,a1),f35(f38(a1,a1)))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,95,99,101,102,104,128,112,123,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196])).
% 0.96/1.05 cnf(311,plain,
% 0.96/1.05 (~E(f33(f31(a3),a2),f34(a2))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3])).
% 0.96/1.05 cnf(316,plain,
% 0.96/1.05 (~P6(a5,f35(a23))),
% 0.96/1.05 inference(scs_inference,[],[78,110,83,87,124,92,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179])).
% 0.96/1.05 cnf(320,plain,
% 0.96/1.06 (~P19(f39(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,83,87,124,92,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140])).
% 0.96/1.06 cnf(332,plain,
% 0.96/1.06 (~P23(f28(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173])).
% 0.96/1.06 cnf(334,plain,
% 0.96/1.06 (P2(f28(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168])).
% 0.96/1.06 cnf(336,plain,
% 0.96/1.06 (P15(f28(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167])).
% 0.96/1.06 cnf(366,plain,
% 0.96/1.06 (~P23(f37(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174])).
% 0.96/1.06 cnf(370,plain,
% 0.96/1.06 (P2(f37(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174,165,164])).
% 0.96/1.06 cnf(372,plain,
% 0.96/1.06 (P22(f37(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174,165,164,163])).
% 0.96/1.06 cnf(374,plain,
% 0.96/1.06 (P15(f37(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174,165,164,163,162])).
% 0.96/1.06 cnf(382,plain,
% 0.96/1.06 (P9(f31(a3),f37(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174,165,164,163,162,161,160,178,177])).
% 0.96/1.06 cnf(384,plain,
% 0.96/1.06 (P8(f30(a3),f39(a3),f39(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174,165,164,163,162,161,160,178,177,187])).
% 0.96/1.06 cnf(386,plain,
% 0.96/1.06 (P8(f32(a3),f39(a3),f39(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174,165,164,163,162,161,160,178,177,187,186])).
% 0.96/1.06 cnf(388,plain,
% 0.96/1.06 (E(f29(f30(a3),f36(a3)),f37(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174,165,164,163,162,161,160,178,177,187,186,180])).
% 0.96/1.06 cnf(394,plain,
% 0.96/1.06 (P11(a2,f39(a3),f39(a3),f30(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174,165,164,163,162,161,160,178,177,187,186,180,195,194,214])).
% 0.96/1.06 cnf(398,plain,
% 0.96/1.06 (P16(f6(a1,a1))),
% 0.96/1.06 inference(scs_inference,[],[78,110,79,83,85,87,124,92,93,94,95,97,99,101,102,104,106,128,112,123,130,117,228,230,120,121,122,111,221,234,2,183,142,172,76,75,65,64,59,58,56,55,51,50,47,46,45,38,155,134,139,136,192,191,182,166,133,132,131,159,135,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,196,190,189,77,69,61,60,53,49,3,144,143,179,141,140,138,137,175,156,154,173,168,167,171,170,169,158,157,152,151,150,149,148,147,146,145,176,174,165,164,163,162,161,160,178,177,187,186,180,195,194,214,153,188])).
% 0.96/1.06 cnf(425,plain,
% 0.96/1.06 (P11(f25(f27(x4251,a19)),x4251,a19,f27(x4251,a19))),
% 0.96/1.06 inference(scs_inference,[],[129,111,123,121,320,384,386,394,213,212,209,207])).
% 0.96/1.06 cnf(426,plain,
% 0.96/1.06 (P6(f25(x4261),x4261)),
% 0.96/1.06 inference(rename_variables,[],[111])).
% 0.96/1.06 cnf(427,plain,
% 0.96/1.06 (P8(f27(x4271,x4272),x4271,x4272)),
% 0.96/1.06 inference(rename_variables,[],[121])).
% 0.96/1.06 cnf(431,plain,
% 0.96/1.06 (E(f34(a2),f33(f37(a3),a1))),
% 0.96/1.06 inference(scs_inference,[],[129,112,111,123,121,79,85,83,124,87,320,366,370,374,382,384,386,394,215,213,212,209,207,184,211])).
% 0.96/1.06 cnf(433,plain,
% 0.96/1.06 (~P6(a5,f35(a13))),
% 0.96/1.06 inference(scs_inference,[],[103,129,112,111,123,121,79,85,83,124,87,320,366,370,374,382,384,386,394,240,215,213,212,209,207,184,211,179])).
% 0.96/1.06 cnf(453,plain,
% 0.96/1.06 (P22(f28(a16))),
% 0.96/1.06 inference(scs_inference,[],[84,86,91,103,109,126,127,129,112,111,123,121,79,85,83,124,87,320,332,334,336,366,370,374,382,384,386,394,240,215,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176])).
% 0.96/1.06 cnf(457,plain,
% 0.96/1.06 (P2(f37(a16))),
% 0.96/1.06 inference(scs_inference,[],[82,84,86,91,103,109,126,127,129,112,111,123,121,79,85,83,124,87,320,332,334,336,366,370,374,382,384,386,394,240,215,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164])).
% 0.96/1.06 cnf(459,plain,
% 0.96/1.06 (P1(f37(a16))),
% 0.96/1.06 inference(scs_inference,[],[82,84,86,91,103,109,126,127,129,112,111,123,121,79,85,83,124,87,320,332,334,336,366,370,374,382,384,386,394,240,215,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161])).
% 0.96/1.06 cnf(461,plain,
% 0.96/1.06 (P1(f31(a16))),
% 0.96/1.06 inference(scs_inference,[],[82,84,86,91,103,109,126,127,129,112,111,123,121,79,85,83,124,87,320,332,334,336,366,370,374,382,384,386,394,240,215,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160])).
% 0.96/1.06 cnf(477,plain,
% 0.96/1.06 (E(f7(x4771,x4772,a1),f7(x4771,x4772,a2))),
% 0.96/1.06 inference(rename_variables,[],[267])).
% 0.96/1.06 cnf(501,plain,
% 0.96/1.06 (~P23(f37(a16))),
% 0.96/1.06 inference(scs_inference,[],[78,82,84,86,91,96,100,103,109,126,127,129,112,111,426,123,121,427,79,85,83,124,87,267,268,282,388,320,332,334,336,366,370,374,382,384,386,394,240,316,215,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174])).
% 0.96/1.06 cnf(503,plain,
% 0.96/1.06 (P22(f37(a16))),
% 0.96/1.06 inference(scs_inference,[],[78,82,84,86,91,96,100,103,109,126,127,129,112,111,426,123,121,427,79,85,83,124,87,267,268,282,388,320,332,334,336,366,370,374,382,384,386,394,240,316,215,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163])).
% 0.96/1.06 cnf(505,plain,
% 0.96/1.06 (P15(f37(a16))),
% 0.96/1.06 inference(scs_inference,[],[78,82,84,86,91,96,100,103,109,126,127,129,112,111,426,123,121,427,79,85,83,124,87,267,268,282,388,320,332,334,336,366,370,374,382,384,386,394,240,316,215,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162])).
% 0.96/1.06 cnf(507,plain,
% 0.96/1.06 (P9(f31(a16),f37(a16))),
% 0.96/1.06 inference(scs_inference,[],[78,82,84,86,91,96,100,103,109,126,127,129,112,111,426,123,121,427,79,85,83,124,87,267,268,282,388,320,332,334,336,366,370,374,382,384,386,394,240,316,215,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177])).
% 0.96/1.06 cnf(509,plain,
% 0.96/1.06 (P8(f30(a16),f39(a16),f39(a16))),
% 0.96/1.06 inference(scs_inference,[],[78,82,84,86,91,96,100,103,109,126,127,129,112,111,426,123,121,427,79,85,83,124,87,267,268,282,388,320,332,334,336,366,370,374,382,384,386,394,240,316,215,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187])).
% 0.96/1.06 cnf(525,plain,
% 0.96/1.06 (~P8(a10,x5251,x5252)),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,109,126,127,129,118,112,130,111,426,123,120,110,122,121,427,79,85,83,124,87,267,268,279,282,294,216,388,320,332,334,336,366,370,374,382,384,386,394,240,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45])).
% 0.96/1.06 cnf(527,plain,
% 0.96/1.06 (P6(a2,f32(a3))),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,108,109,126,127,129,118,112,130,111,426,123,120,110,122,121,427,79,85,83,124,87,267,268,279,282,294,216,388,320,332,334,336,366,370,374,382,384,386,394,240,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45,68,210])).
% 0.96/1.06 cnf(529,plain,
% 0.96/1.06 (P6(f33(f37(a3),a1),f39(f37(a3)))),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,108,109,126,127,129,118,112,130,111,426,123,120,110,122,121,427,79,85,83,124,87,267,268,279,282,294,216,388,320,332,334,336,366,370,372,374,382,384,386,394,240,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45,68,210,185])).
% 0.96/1.06 cnf(531,plain,
% 0.96/1.06 (E(f33(f37(a3),a1),f33(f31(a3),a2))),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,108,109,126,127,129,118,112,130,111,426,123,120,110,122,121,427,79,85,83,124,87,267,268,279,282,294,216,388,320,332,334,336,366,370,372,374,382,384,386,235,394,240,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45,68,210,185,193])).
% 0.96/1.06 cnf(533,plain,
% 0.96/1.06 (~P6(a5,f35(a10))),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,108,109,126,127,129,118,112,130,111,426,123,120,110,122,121,427,79,85,83,124,87,267,268,279,282,294,216,388,320,332,334,336,366,370,372,374,382,384,386,235,394,240,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45,68,210,185,193,172])).
% 0.96/1.06 cnf(535,plain,
% 0.96/1.06 (~P23(f28(a16))),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,108,109,126,127,129,118,112,130,111,426,123,120,110,122,121,427,79,85,83,124,87,267,268,279,282,294,216,388,320,332,334,336,366,370,372,374,382,384,386,235,394,240,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45,68,210,185,193,172,173])).
% 0.96/1.06 cnf(537,plain,
% 0.96/1.06 (P15(f28(a16))),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,108,109,126,127,129,118,112,130,111,426,123,120,110,122,121,427,79,85,83,124,87,267,268,279,282,294,216,388,320,332,334,336,366,370,372,374,382,384,386,235,394,240,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45,68,210,185,193,172,173,167])).
% 0.96/1.06 cnf(540,plain,
% 0.96/1.06 (P10(f6(x5401,x5402),x5401,x5402)),
% 0.96/1.06 inference(rename_variables,[],[122])).
% 0.96/1.06 cnf(544,plain,
% 0.96/1.06 (P7(f9(x5441,x5442),x5441,x5442)),
% 0.96/1.06 inference(rename_variables,[],[118])).
% 0.96/1.06 cnf(546,plain,
% 0.96/1.06 (P14(f9(x5461,x5462),x5461,x5462)),
% 0.96/1.06 inference(rename_variables,[],[120])).
% 0.96/1.06 cnf(547,plain,
% 0.96/1.06 (P11(f7(x5471,a19,f27(x5471,a19)),x5471,a19,f27(x5471,a19))),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,108,109,126,127,129,118,112,130,111,426,123,120,110,122,121,427,79,85,83,124,87,398,267,477,268,279,280,282,294,216,388,320,332,334,336,366,370,372,374,382,384,386,235,394,240,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45,68,210,185,193,172,173,167,64,60,59,55,208])).
% 0.96/1.06 cnf(549,plain,
% 0.96/1.06 (P2(f28(a16))),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,108,109,126,127,129,118,112,130,111,426,123,120,110,122,121,427,79,85,83,124,87,398,267,477,268,279,280,282,294,216,388,320,332,334,336,366,370,372,374,382,384,386,235,394,240,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45,68,210,185,193,172,173,167,64,60,59,55,208,168])).
% 0.96/1.06 cnf(555,plain,
% 0.96/1.06 (P7(f9(x5551,x5552),x5551,x5552)),
% 0.96/1.06 inference(rename_variables,[],[118])).
% 0.96/1.06 cnf(558,plain,
% 0.96/1.06 (P18(f9(x5581,a19),x5581,a19)),
% 0.96/1.06 inference(scs_inference,[],[78,80,82,84,86,89,91,96,100,103,108,109,126,127,129,118,544,555,115,112,130,111,426,123,120,546,110,122,540,121,427,79,85,83,124,87,398,267,477,268,279,280,282,294,216,388,218,289,320,332,334,336,366,370,372,374,382,384,386,235,394,240,262,316,215,260,213,212,209,207,184,211,179,175,136,154,171,170,169,151,150,147,176,165,164,161,160,178,194,183,159,50,49,48,41,39,3,141,140,138,137,158,157,152,149,148,146,145,174,163,162,177,187,186,195,2,156,180,76,75,63,57,54,45,68,210,185,193,172,173,167,64,60,59,55,208,168,69,65,58,51,53,199])).
% 0.96/1.06 cnf(575,plain,
% 0.96/1.06 (P8(f27(x5751,x5752),x5751,x5752)),
% 0.96/1.06 inference(rename_variables,[],[121])).
% 0.96/1.06 cnf(577,plain,
% 0.96/1.06 (P11(f25(f27(x5771,a5)),x5771,a5,f27(x5771,a5))),
% 0.96/1.06 inference(scs_inference,[],[128,111,121,575,129,239,425,386,320,213,209,207])).
% 0.96/1.06 cnf(578,plain,
% 0.96/1.06 (P8(f27(x5781,x5782),x5781,x5782)),
% 0.96/1.06 inference(rename_variables,[],[121])).
% 0.96/1.06 cnf(579,plain,
% 0.96/1.06 (P6(f25(x5791),x5791)),
% 0.96/1.06 inference(rename_variables,[],[111])).
% 0.96/1.06 cnf(585,plain,
% 0.96/1.06 (P15(f31(a16))),
% 0.96/1.06 inference(scs_inference,[],[128,111,215,121,575,129,239,425,558,457,501,505,507,386,320,213,209,207,73,212,167])).
% 0.96/1.06 cnf(596,plain,
% 0.96/1.06 (P7(f9(x5961,x5962),x5961,x5962)),
% 0.96/1.06 inference(rename_variables,[],[118])).
% 0.96/1.06 cnf(597,plain,
% 0.96/1.06 (P13(f9(x5971,x5972))),
% 0.96/1.06 inference(rename_variables,[],[115])).
% 0.96/1.06 cnf(598,plain,
% 0.96/1.06 (P14(f9(x5981,x5982),x5981,x5982)),
% 0.96/1.06 inference(rename_variables,[],[120])).
% 0.96/1.06 cnf(602,plain,
% 0.96/1.06 (P2(f37(f37(a16)))),
% 0.96/1.06 inference(scs_inference,[],[115,128,118,111,215,120,121,575,129,239,425,558,457,459,501,503,505,507,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164])).
% 0.96/1.06 cnf(610,plain,
% 0.96/1.06 (P5(f6(a1,a1),f38(a1,a1))),
% 0.96/1.06 inference(scs_inference,[],[115,128,118,111,215,120,121,575,129,239,299,425,558,457,459,501,503,505,507,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172])).
% 0.96/1.06 cnf(617,plain,
% 0.96/1.06 (~P23(f31(a16))),
% 0.96/1.06 inference(scs_inference,[],[102,115,128,118,111,579,215,120,121,575,129,239,299,425,558,457,459,501,503,505,507,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173])).
% 0.96/1.06 cnf(619,plain,
% 0.96/1.06 (P2(f31(a16))),
% 0.96/1.06 inference(scs_inference,[],[102,115,128,118,111,579,215,120,121,575,129,239,299,425,558,457,459,501,503,505,507,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173,168])).
% 0.96/1.06 cnf(631,plain,
% 0.96/1.06 (P15(f37(f37(a16)))),
% 0.96/1.06 inference(scs_inference,[],[102,115,128,118,111,579,215,120,121,575,129,239,299,425,558,457,459,501,503,505,507,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173,168,169,152,150,146,145,162])).
% 0.96/1.06 cnf(635,plain,
% 0.96/1.06 (P9(f31(f37(a16)),f37(f37(a16)))),
% 0.96/1.06 inference(scs_inference,[],[102,115,128,118,111,579,215,120,121,575,129,239,299,425,558,457,459,501,503,505,507,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173,168,169,152,150,146,145,162,160,177])).
% 0.96/1.06 cnf(637,plain,
% 0.96/1.06 (P6(x6371,f35(x6371))),
% 0.96/1.06 inference(scs_inference,[],[102,115,128,118,111,579,215,110,120,121,575,129,239,299,425,558,457,459,501,503,505,507,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173,168,169,152,150,146,145,162,160,177,159])).
% 0.96/1.06 cnf(649,plain,
% 0.96/1.06 (~P23(f37(f37(a16)))),
% 0.96/1.06 inference(scs_inference,[],[102,115,128,118,111,579,215,110,120,121,575,129,239,299,425,558,457,459,501,503,505,507,509,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173,168,169,152,150,146,145,162,160,177,159,183,158,157,149,148,174])).
% 0.96/1.06 cnf(651,plain,
% 0.96/1.06 (P22(f37(f37(a16)))),
% 0.96/1.06 inference(scs_inference,[],[102,115,128,118,111,579,215,110,120,121,575,129,239,299,425,558,457,459,501,503,505,507,509,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173,168,169,152,150,146,145,162,160,177,159,183,158,157,149,148,174,163])).
% 0.96/1.06 cnf(653,plain,
% 0.96/1.06 (E(f34(a2),f33(f31(a3),a2))),
% 0.96/1.06 inference(scs_inference,[],[102,115,128,118,111,579,215,110,120,121,575,129,531,239,299,425,558,431,457,459,501,503,505,507,509,386,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173,168,169,152,150,146,145,162,160,177,159,183,158,157,149,148,174,163,3])).
% 0.96/1.06 cnf(667,plain,
% 0.96/1.06 (P18(f9(x6671,a5),x6671,a5)),
% 0.96/1.06 inference(scs_inference,[],[105,102,115,597,128,118,596,111,579,215,110,120,598,121,575,578,129,220,531,239,299,425,558,431,457,459,501,503,505,507,509,433,527,281,280,384,386,394,320,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173,168,169,152,150,146,145,162,160,177,159,183,158,157,149,148,174,163,3,51,50,2,75,76,45,62,210,199])).
% 0.96/1.06 cnf(675,plain,
% 0.96/1.06 (P22(f31(a16))),
% 0.96/1.06 inference(scs_inference,[],[105,102,115,597,128,118,596,111,579,215,110,120,598,121,575,578,129,220,252,531,239,299,232,425,547,558,431,457,459,501,503,505,507,509,433,527,269,281,280,282,384,386,394,320,78,213,209,207,73,212,167,171,170,151,147,197,165,164,161,178,136,172,179,154,173,168,169,152,150,146,145,162,160,177,159,183,158,157,149,148,174,163,3,51,50,2,75,76,45,62,210,199,61,56,38,176])).
% 0.96/1.06 cnf(696,plain,
% 0.96/1.06 (P8(f27(x6961,x6962),x6961,x6962)),
% 0.96/1.06 inference(rename_variables,[],[121])).
% 0.96/1.06 cnf(756,plain,
% 0.96/1.06 ($false),
% 0.96/1.06 inference(scs_inference,[],[104,130,111,215,128,121,696,637,610,529,602,631,635,649,651,577,525,653,667,311,453,461,535,537,549,585,617,619,675,533,273,272,295,433,279,240,181,72,209,171,147,164,178,159,170,169,151,150,145,165,162,161,176,179,158,152,149,146,160,177,13,183,157,148,174,163,51,50,3,45,75,2]),
% 0.96/1.06 ['proof']).
% 0.96/1.06 % SZS output end Proof
% 0.96/1.06 % Total time :0.400000s
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