TSTP Solution File: SEU341+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU341+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 16:19:21 EDT 2023
% Result : Theorem 7.99s 8.08s
% Output : CNFRefutation 7.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU341+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.30 % Computer : n004.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Aug 23 15:59:23 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.52 start to proof:theBenchmark
% 7.96/8.07 %-------------------------------------------
% 7.96/8.07 % File :CSE---1.6
% 7.96/8.07 % Problem :theBenchmark
% 7.96/8.07 % Transform :cnf
% 7.96/8.07 % Format :tptp:raw
% 7.96/8.07 % Command :java -jar mcs_scs.jar %d %s
% 7.96/8.07
% 7.96/8.07 % Result :Theorem 7.470000s
% 7.96/8.07 % Output :CNFRefutation 7.470000s
% 7.96/8.07 %-------------------------------------------
% 7.96/8.07 %------------------------------------------------------------------------------
% 7.96/8.07 % File : SEU341+1 : TPTP v8.1.2. Released v3.3.0.
% 7.96/8.07 % Domain : Set theory
% 7.96/8.07 % Problem : MPTP bushy problem t5_connsp_2
% 7.96/8.07 % Version : [Urb07] axioms : Especial.
% 7.96/8.07 % English :
% 7.96/8.07
% 7.96/8.07 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 7.96/8.07 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 7.96/8.07 % Source : [Urb07]
% 7.96/8.07 % Names : bushy-t5_connsp_2 [Urb07]
% 7.96/8.07
% 7.96/8.07 % Status : Theorem
% 7.96/8.07 % Rating : 0.14 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.17 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.13 v5.5.0, 0.15 v5.4.0, 0.21 v5.3.0, 0.22 v5.2.0, 0.10 v5.1.0, 0.14 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.0, 0.25 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0
% 7.96/8.07 % Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% 7.96/8.07 % Number of atoms : 153 ( 4 equ)
% 7.96/8.07 % Maximal formula atoms : 9 ( 3 avg)
% 7.96/8.07 % Number of connectives : 121 ( 13 ~; 1 |; 56 &)
% 7.96/8.07 % ( 2 <=>; 49 =>; 0 <=; 0 <~>)
% 7.96/8.07 % Maximal formula depth : 11 ( 5 avg)
% 7.96/8.07 % Maximal term depth : 3 ( 1 avg)
% 7.96/8.07 % Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% 7.96/8.07 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 7.96/8.07 % Number of variables : 75 ( 68 !; 7 ?)
% 7.96/8.07 % SPC : FOF_THM_RFO_SEQ
% 7.96/8.07
% 7.96/8.07 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 7.96/8.07 % library, www.mizar.org
% 7.96/8.07 %------------------------------------------------------------------------------
% 7.96/8.07 fof(antisymmetry_r2_hidden,axiom,
% 7.96/8.07 ! [A,B] :
% 7.96/8.07 ( in(A,B)
% 7.96/8.07 => ~ in(B,A) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc10_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v1_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,A)
% 7.96/8.07 => v1_xcmplx_0(B) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc11_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v2_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,A)
% 7.96/8.07 => ( v1_xcmplx_0(B)
% 7.96/8.07 & v1_xreal_0(B) ) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc12_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v3_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,A)
% 7.96/8.07 => ( v1_xcmplx_0(B)
% 7.96/8.07 & v1_xreal_0(B)
% 7.96/8.07 & v1_rat_1(B) ) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc13_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v4_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,A)
% 7.96/8.07 => ( v1_xcmplx_0(B)
% 7.96/8.07 & v1_xreal_0(B)
% 7.96/8.07 & v1_int_1(B)
% 7.96/8.07 & v1_rat_1(B) ) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc14_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v5_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,A)
% 7.96/8.07 => ( v1_xcmplx_0(B)
% 7.96/8.07 & natural(B)
% 7.96/8.07 & v1_xreal_0(B)
% 7.96/8.07 & v1_int_1(B)
% 7.96/8.07 & v1_rat_1(B) ) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc15_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( empty(A)
% 7.96/8.07 => ( v1_membered(A)
% 7.96/8.07 & v2_membered(A)
% 7.96/8.07 & v3_membered(A)
% 7.96/8.07 & v4_membered(A)
% 7.96/8.07 & v5_membered(A) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc16_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v1_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,powerset(A))
% 7.96/8.07 => v1_membered(B) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc17_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v2_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,powerset(A))
% 7.96/8.07 => ( v1_membered(B)
% 7.96/8.07 & v2_membered(B) ) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc18_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v3_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,powerset(A))
% 7.96/8.07 => ( v1_membered(B)
% 7.96/8.07 & v2_membered(B)
% 7.96/8.07 & v3_membered(B) ) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc19_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v4_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,powerset(A))
% 7.96/8.07 => ( v1_membered(B)
% 7.96/8.07 & v2_membered(B)
% 7.96/8.07 & v3_membered(B)
% 7.96/8.07 & v4_membered(B) ) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc1_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v5_membered(A)
% 7.96/8.07 => v4_membered(A) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc20_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v5_membered(A)
% 7.96/8.07 => ! [B] :
% 7.96/8.07 ( element(B,powerset(A))
% 7.96/8.07 => ( v1_membered(B)
% 7.96/8.07 & v2_membered(B)
% 7.96/8.07 & v3_membered(B)
% 7.96/8.07 & v4_membered(B)
% 7.96/8.07 & v5_membered(B) ) ) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc2_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v4_membered(A)
% 7.96/8.07 => v3_membered(A) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc3_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v3_membered(A)
% 7.96/8.07 => v2_membered(A) ) ).
% 7.96/8.07
% 7.96/8.07 fof(cc4_membered,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( v2_membered(A)
% 7.96/8.07 => v1_membered(A) ) ).
% 7.96/8.07
% 7.96/8.07 fof(d1_connsp_2,axiom,
% 7.96/8.07 ! [A] :
% 7.96/8.07 ( ( ~ empty_carrier(A)
% 7.96/8.07 & topological_space(A)
% 7.96/8.07 & top_str(A) )
% 7.96/8.08 => ! [B] :
% 7.96/8.08 ( element(B,the_carrier(A))
% 7.96/8.08 => ! [C] :
% 7.96/8.08 ( element(C,powerset(the_carrier(A)))
% 7.96/8.08 => ( point_neighbourhood(C,A,B)
% 7.96/8.08 <=> in(B,interior(A,C)) ) ) ) ) ).
% 7.96/8.08
% 7.96/8.08 fof(dt_k1_tops_1,axiom,
% 7.96/8.08 ! [A,B] :
% 7.96/8.08 ( ( top_str(A)
% 7.96/8.08 & element(B,powerset(the_carrier(A))) )
% 7.96/8.08 => element(interior(A,B),powerset(the_carrier(A))) ) ).
% 7.96/8.08
% 7.96/8.08 fof(dt_k1_xboole_0,axiom,
% 7.96/8.08 $true ).
% 7.96/8.08
% 7.96/8.08 fof(dt_k1_zfmisc_1,axiom,
% 7.96/8.08 $true ).
% 7.96/8.08
% 7.96/8.08 fof(dt_l1_pre_topc,axiom,
% 7.96/8.08 ! [A] :
% 7.96/8.08 ( top_str(A)
% 7.96/8.08 => one_sorted_str(A) ) ).
% 7.96/8.08
% 7.96/8.08 fof(dt_l1_struct_0,axiom,
% 7.96/8.08 $true ).
% 7.96/8.08
% 7.96/8.08 fof(dt_m1_connsp_2,axiom,
% 7.96/8.08 ! [A,B] :
% 7.96/8.08 ( ( ~ empty_carrier(A)
% 7.96/8.08 & topological_space(A)
% 7.96/8.08 & top_str(A)
% 7.96/8.08 & element(B,the_carrier(A)) )
% 7.96/8.08 => ! [C] :
% 7.96/8.08 ( point_neighbourhood(C,A,B)
% 7.96/8.08 => element(C,powerset(the_carrier(A))) ) ) ).
% 7.96/8.08
% 7.96/8.08 fof(dt_m1_subset_1,axiom,
% 7.96/8.08 $true ).
% 7.96/8.08
% 7.96/8.08 fof(dt_u1_struct_0,axiom,
% 7.96/8.08 $true ).
% 7.96/8.08
% 7.96/8.08 fof(existence_l1_pre_topc,axiom,
% 7.96/8.08 ? [A] : top_str(A) ).
% 7.96/8.08
% 7.96/8.08 fof(existence_l1_struct_0,axiom,
% 7.96/8.08 ? [A] : one_sorted_str(A) ).
% 7.96/8.08
% 7.96/8.08 fof(existence_m1_connsp_2,axiom,
% 7.96/8.08 ! [A,B] :
% 7.96/8.08 ( ( ~ empty_carrier(A)
% 7.96/8.08 & topological_space(A)
% 7.96/8.08 & top_str(A)
% 7.96/8.08 & element(B,the_carrier(A)) )
% 7.96/8.08 => ? [C] : point_neighbourhood(C,A,B) ) ).
% 7.96/8.08
% 7.96/8.08 fof(existence_m1_subset_1,axiom,
% 7.96/8.08 ! [A] :
% 7.96/8.08 ? [B] : element(B,A) ).
% 7.96/8.08
% 7.96/8.08 fof(fc1_subset_1,axiom,
% 7.96/8.08 ! [A] : ~ empty(powerset(A)) ).
% 7.96/8.08
% 7.96/8.08 fof(fc6_membered,axiom,
% 7.96/8.08 ( empty(empty_set)
% 7.96/8.08 & v1_membered(empty_set)
% 7.96/8.08 & v2_membered(empty_set)
% 7.96/8.08 & v3_membered(empty_set)
% 7.96/8.08 & v4_membered(empty_set)
% 7.96/8.08 & v5_membered(empty_set) ) ).
% 7.96/8.08
% 7.96/8.08 fof(rc1_membered,axiom,
% 7.96/8.08 ? [A] :
% 7.96/8.08 ( ~ empty(A)
% 7.96/8.08 & v1_membered(A)
% 7.96/8.08 & v2_membered(A)
% 7.96/8.08 & v3_membered(A)
% 7.96/8.08 & v4_membered(A)
% 7.96/8.08 & v5_membered(A) ) ).
% 7.96/8.08
% 7.96/8.08 fof(rc1_subset_1,axiom,
% 7.96/8.08 ! [A] :
% 7.96/8.08 ( ~ empty(A)
% 7.96/8.08 => ? [B] :
% 7.96/8.08 ( element(B,powerset(A))
% 7.96/8.08 & ~ empty(B) ) ) ).
% 7.96/8.08
% 7.96/8.08 fof(rc2_subset_1,axiom,
% 7.96/8.08 ! [A] :
% 7.96/8.08 ? [B] :
% 7.96/8.08 ( element(B,powerset(A))
% 7.96/8.08 & empty(B) ) ).
% 7.96/8.08
% 7.96/8.08 fof(reflexivity_r1_tarski,axiom,
% 7.96/8.08 ! [A,B] : subset(A,A) ).
% 7.96/8.08
% 7.96/8.08 fof(t1_subset,axiom,
% 7.96/8.08 ! [A,B] :
% 7.96/8.08 ( in(A,B)
% 7.96/8.08 => element(A,B) ) ).
% 7.96/8.08
% 7.96/8.08 fof(t2_subset,axiom,
% 7.96/8.08 ! [A,B] :
% 7.96/8.08 ( element(A,B)
% 7.96/8.08 => ( empty(B)
% 7.96/8.08 | in(A,B) ) ) ).
% 7.96/8.08
% 7.96/8.08 fof(t3_subset,axiom,
% 7.96/8.08 ! [A,B] :
% 7.96/8.08 ( element(A,powerset(B))
% 7.96/8.08 <=> subset(A,B) ) ).
% 7.96/8.08
% 7.96/8.08 fof(t4_subset,axiom,
% 7.96/8.08 ! [A,B,C] :
% 7.96/8.08 ( ( in(A,B)
% 7.96/8.08 & element(B,powerset(C)) )
% 7.96/8.08 => element(A,C) ) ).
% 7.96/8.08
% 7.96/8.08 fof(t55_tops_1,axiom,
% 7.96/8.08 ! [A] :
% 7.96/8.08 ( ( topological_space(A)
% 7.96/8.08 & top_str(A) )
% 7.96/8.08 => ! [B] :
% 7.96/8.08 ( top_str(B)
% 7.96/8.08 => ! [C] :
% 7.96/8.08 ( element(C,powerset(the_carrier(A)))
% 7.96/8.08 => ! [D] :
% 7.96/8.08 ( element(D,powerset(the_carrier(B)))
% 7.96/8.08 => ( ( open_subset(D,B)
% 7.96/8.08 => interior(B,D) = D )
% 7.96/8.08 & ( interior(A,C) = C
% 7.96/8.08 => open_subset(C,A) ) ) ) ) ) ) ).
% 7.96/8.08
% 7.96/8.08 fof(t5_connsp_2,conjecture,
% 7.96/8.08 ! [A] :
% 7.96/8.08 ( ( ~ empty_carrier(A)
% 7.96/8.08 & topological_space(A)
% 7.96/8.08 & top_str(A) )
% 7.96/8.08 => ! [B] :
% 7.96/8.08 ( element(B,powerset(the_carrier(A)))
% 7.96/8.08 => ! [C] :
% 7.96/8.08 ( element(C,the_carrier(A))
% 7.96/8.08 => ( ( open_subset(B,A)
% 7.96/8.08 & in(C,B) )
% 7.96/8.08 => point_neighbourhood(B,A,C) ) ) ) ) ).
% 7.96/8.08
% 7.96/8.08 fof(t5_subset,axiom,
% 7.96/8.08 ! [A,B,C] :
% 7.96/8.08 ~ ( in(A,B)
% 7.96/8.08 & element(B,powerset(C))
% 7.96/8.08 & empty(C) ) ).
% 7.96/8.08
% 7.96/8.08 fof(t6_boole,axiom,
% 7.96/8.08 ! [A] :
% 7.96/8.08 ( empty(A)
% 7.96/8.08 => A = empty_set ) ).
% 7.96/8.08
% 7.96/8.08 fof(t7_boole,axiom,
% 7.96/8.08 ! [A,B] :
% 7.96/8.08 ~ ( in(A,B)
% 7.96/8.08 & empty(B) ) ).
% 7.96/8.08
% 7.96/8.08 fof(t8_boole,axiom,
% 7.96/8.08 ! [A,B] :
% 7.96/8.08 ~ ( empty(A)
% 7.96/8.08 & A != B
% 7.96/8.08 & empty(B) ) ).
% 7.96/8.08
% 7.96/8.08 %------------------------------------------------------------------------------
% 7.96/8.08 %-------------------------------------------
% 7.96/8.08 % Proof found
% 7.99/8.08 % SZS status Theorem for theBenchmark
% 7.99/8.08 % SZS output start Proof
% 7.99/8.08 %ClaNum:124(EqnAxiom:38)
% 7.99/8.08 %VarNum:269(SingletonVarNum:119)
% 7.99/8.08 %MaxLitNum:7
% 7.99/8.08 %MaxfuncDepth:2
% 7.99/8.08 %SharedTerms:31
% 7.99/8.08 %goalClause: 50 52 55 56 58 60 63 65
% 7.99/8.08 %singleGoalClaCount:8
% 7.99/8.08 [39]P1(a1)
% 7.99/8.08 [40]P1(a2)
% 7.99/8.08 [41]P14(a1)
% 7.99/8.08 [42]P14(a2)
% 7.99/8.08 [43]P18(a1)
% 7.99/8.08 [44]P18(a2)
% 7.99/8.08 [45]P19(a1)
% 7.99/8.08 [46]P19(a2)
% 7.99/8.08 [47]P20(a1)
% 7.99/8.08 [48]P20(a2)
% 7.99/8.08 [49]P2(a1)
% 7.99/8.08 [50]P4(a8)
% 7.99/8.08 [51]P5(a3)
% 7.99/8.08 [52]P5(a8)
% 7.99/8.08 [53]P6(a5)
% 7.99/8.08 [55]P7(a4,a11)
% 7.99/8.08 [56]P10(a11,a8)
% 7.99/8.08 [62]~P2(a2)
% 7.99/8.08 [63]~P8(a8)
% 7.99/8.08 [65]~P12(a11,a8,a4)
% 7.99/8.08 [58]P3(a4,f12(a8))
% 7.99/8.08 [60]P3(a11,f13(f12(a8)))
% 7.99/8.08 [57]P11(x571,x571)
% 7.99/8.08 [54]P2(f9(x541))
% 7.99/8.08 [59]P3(f6(x591),x591)
% 7.99/8.08 [61]P3(f9(x611),f13(x611))
% 7.99/8.08 [64]~P2(f13(x641))
% 7.99/8.08 [66]~P2(x661)+E(x661,a1)
% 7.99/8.08 [67]~P14(x671)+P1(x671)
% 7.99/8.08 [68]~P2(x681)+P1(x681)
% 7.99/8.08 [69]~P18(x691)+P14(x691)
% 7.99/8.08 [70]~P2(x701)+P14(x701)
% 7.99/8.08 [71]~P19(x711)+P18(x711)
% 7.99/8.08 [72]~P2(x721)+P18(x721)
% 7.99/8.08 [73]~P20(x731)+P19(x731)
% 7.99/8.08 [74]~P2(x741)+P19(x741)
% 7.99/8.08 [75]~P2(x751)+P20(x751)
% 7.99/8.08 [76]~P5(x761)+P6(x761)
% 7.99/8.08 [78]P2(x781)+~P2(f10(x781))
% 7.99/8.08 [80]P2(x801)+P3(f10(x801),f13(x801))
% 7.99/8.08 [79]~P2(x791)+~P7(x792,x791)
% 7.99/8.08 [96]~P7(x961,x962)+P3(x961,x962)
% 7.99/8.08 [114]~P7(x1142,x1141)+~P7(x1141,x1142)
% 7.99/8.08 [98]~P11(x981,x982)+P3(x981,f13(x982))
% 7.99/8.08 [115]P11(x1151,x1152)+~P3(x1151,f13(x1152))
% 7.99/8.08 [77]~P2(x772)+~P2(x771)+E(x771,x772)
% 7.99/8.08 [81]~P3(x811,x812)+P15(x811)+~P1(x812)
% 7.99/8.08 [82]~P3(x821,x822)+P15(x821)+~P14(x822)
% 7.99/8.08 [83]~P3(x831,x832)+P15(x831)+~P18(x832)
% 7.99/8.08 [84]~P3(x841,x842)+P15(x841)+~P19(x842)
% 7.99/8.08 [85]~P3(x851,x852)+P15(x851)+~P20(x852)
% 7.99/8.08 [86]~P3(x861,x862)+P17(x861)+~P14(x862)
% 7.99/8.08 [87]~P3(x871,x872)+P17(x871)+~P18(x872)
% 7.99/8.08 [88]~P3(x881,x882)+P17(x881)+~P19(x882)
% 7.99/8.08 [89]~P3(x891,x892)+P17(x891)+~P20(x892)
% 7.99/8.08 [90]~P3(x901,x902)+P16(x901)+~P18(x902)
% 7.99/8.08 [91]~P3(x911,x912)+P16(x911)+~P19(x912)
% 7.99/8.08 [92]~P3(x921,x922)+P16(x921)+~P20(x922)
% 7.99/8.08 [93]~P3(x931,x932)+P13(x931)+~P19(x932)
% 7.99/8.08 [94]~P3(x941,x942)+P13(x941)+~P20(x942)
% 7.99/8.08 [95]~P3(x951,x952)+P9(x951)+~P20(x952)
% 7.99/8.08 [97]~P3(x972,x971)+P2(x971)+P7(x972,x971)
% 7.99/8.08 [99]P1(x991)+~P1(x992)+~P3(x991,f13(x992))
% 7.99/8.08 [100]P1(x1001)+~P14(x1002)+~P3(x1001,f13(x1002))
% 7.99/8.08 [101]P1(x1011)+~P18(x1012)+~P3(x1011,f13(x1012))
% 7.99/8.08 [102]P1(x1021)+~P19(x1022)+~P3(x1021,f13(x1022))
% 7.99/8.08 [103]P1(x1031)+~P20(x1032)+~P3(x1031,f13(x1032))
% 7.99/8.08 [104]P14(x1041)+~P14(x1042)+~P3(x1041,f13(x1042))
% 7.99/8.08 [105]P14(x1051)+~P18(x1052)+~P3(x1051,f13(x1052))
% 7.99/8.08 [106]P14(x1061)+~P19(x1062)+~P3(x1061,f13(x1062))
% 7.99/8.08 [107]P14(x1071)+~P20(x1072)+~P3(x1071,f13(x1072))
% 7.99/8.08 [108]P18(x1081)+~P18(x1082)+~P3(x1081,f13(x1082))
% 7.99/8.08 [109]P18(x1091)+~P19(x1092)+~P3(x1091,f13(x1092))
% 7.99/8.08 [110]P18(x1101)+~P20(x1102)+~P3(x1101,f13(x1102))
% 7.99/8.08 [111]P19(x1111)+~P19(x1112)+~P3(x1111,f13(x1112))
% 7.99/8.08 [112]P19(x1121)+~P20(x1122)+~P3(x1121,f13(x1122))
% 7.99/8.08 [113]P20(x1131)+~P20(x1132)+~P3(x1131,f13(x1132))
% 7.99/8.08 [118]~P5(x1181)+~P3(x1182,f13(f12(x1181)))+P3(f14(x1181,x1182),f13(f12(x1181)))
% 7.99/8.08 [116]~P2(x1161)+~P7(x1162,x1163)+~P3(x1163,f13(x1161))
% 7.99/8.08 [117]P3(x1171,x1172)+~P7(x1171,x1173)+~P3(x1173,f13(x1172))
% 7.99/8.08 [119]~P4(x1191)+~P5(x1191)+P8(x1191)+P12(f7(x1191,x1192),x1191,x1192)+~P3(x1192,f12(x1191))
% 7.99/8.08 [122]~P4(x1221)+~P5(x1221)+P8(x1221)+~P12(x1222,x1221,x1223)+~P3(x1223,f12(x1221))+P3(x1222,f13(f12(x1221)))
% 7.99/8.08 [123]~P4(x1231)+~P5(x1231)+P8(x1231)+P12(x1232,x1231,x1233)+~P3(x1233,f12(x1231))+~P7(x1233,f14(x1231,x1232))+~P3(x1232,f13(f12(x1231)))
% 7.99/8.08 [124]~P4(x1241)+~P5(x1241)+~P12(x1243,x1241,x1242)+P8(x1241)+~P3(x1242,f12(x1241))+P7(x1242,f14(x1241,x1243))+~P3(x1243,f13(f12(x1241)))
% 7.99/8.08 [120]~P5(x1203)+~P5(x1201)+~P10(x1202,x1201)+~P4(x1203)+E(f14(x1201,x1202),x1202)+~P3(x1202,f13(f12(x1201)))+~P3(x1204,f13(f12(x1203)))
% 7.99/8.08 [121]~P4(x1212)+~P5(x1212)+P10(x1211,x1212)+~P5(x1213)+~E(f14(x1212,x1211),x1211)+~P3(x1211,f13(f12(x1212)))+~P3(x1214,f13(f12(x1213)))
% 7.99/8.08 %EqnAxiom
% 7.99/8.08 [1]E(x11,x11)
% 7.99/8.08 [2]E(x22,x21)+~E(x21,x22)
% 7.99/8.08 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 7.99/8.08 [4]~E(x41,x42)+E(f9(x41),f9(x42))
% 7.99/8.08 [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 7.99/8.08 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 7.99/8.08 [7]~E(x71,x72)+E(f14(x71,x73),f14(x72,x73))
% 7.99/8.08 [8]~E(x81,x82)+E(f14(x83,x81),f14(x83,x82))
% 7.99/8.08 [9]~E(x91,x92)+E(f13(x91),f13(x92))
% 7.99/8.08 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 7.99/8.08 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 7.99/8.08 [12]~E(x121,x122)+E(f10(x121),f10(x122))
% 7.99/8.08 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 7.99/8.08 [14]P3(x142,x143)+~E(x141,x142)+~P3(x141,x143)
% 7.99/8.08 [15]P3(x153,x152)+~E(x151,x152)+~P3(x153,x151)
% 7.99/8.08 [16]~P14(x161)+P14(x162)+~E(x161,x162)
% 7.99/8.08 [17]~P18(x171)+P18(x172)+~E(x171,x172)
% 7.99/8.08 [18]~P19(x181)+P19(x182)+~E(x181,x182)
% 7.99/8.08 [19]P7(x192,x193)+~E(x191,x192)+~P7(x191,x193)
% 7.99/8.08 [20]P7(x203,x202)+~E(x201,x202)+~P7(x203,x201)
% 7.99/8.08 [21]~P20(x211)+P20(x212)+~E(x211,x212)
% 7.99/8.08 [22]~P8(x221)+P8(x222)+~E(x221,x222)
% 7.99/8.08 [23]~P16(x231)+P16(x232)+~E(x231,x232)
% 7.99/8.08 [24]~P5(x241)+P5(x242)+~E(x241,x242)
% 7.99/8.08 [25]~P2(x251)+P2(x252)+~E(x251,x252)
% 7.99/8.08 [26]~P4(x261)+P4(x262)+~E(x261,x262)
% 7.99/8.08 [27]~P17(x271)+P17(x272)+~E(x271,x272)
% 7.99/8.08 [28]~P15(x281)+P15(x282)+~E(x281,x282)
% 7.99/8.08 [29]~P6(x291)+P6(x292)+~E(x291,x292)
% 7.99/8.08 [30]~P13(x301)+P13(x302)+~E(x301,x302)
% 7.99/8.08 [31]P11(x312,x313)+~E(x311,x312)+~P11(x311,x313)
% 7.99/8.08 [32]P11(x323,x322)+~E(x321,x322)+~P11(x323,x321)
% 7.99/8.08 [33]P10(x332,x333)+~E(x331,x332)+~P10(x331,x333)
% 7.99/8.08 [34]P10(x343,x342)+~E(x341,x342)+~P10(x343,x341)
% 7.99/8.08 [35]P12(x352,x353,x354)+~E(x351,x352)+~P12(x351,x353,x354)
% 7.99/8.08 [36]P12(x363,x362,x364)+~E(x361,x362)+~P12(x363,x361,x364)
% 7.99/8.08 [37]P12(x373,x374,x372)+~E(x371,x372)+~P12(x373,x374,x371)
% 7.99/8.08 [38]~P9(x381)+P9(x382)+~E(x381,x382)
% 7.99/8.08
% 7.99/8.08 %-------------------------------------------
% 7.99/8.09 cnf(125,plain,
% 7.99/8.09 (~P7(a11,a4)),
% 7.99/8.09 inference(scs_inference,[],[55,114])).
% 7.99/8.09 cnf(126,plain,
% 7.99/8.09 (~P7(x1261,a1)),
% 7.99/8.09 inference(scs_inference,[],[55,49,114,79])).
% 7.99/8.09 cnf(130,plain,
% 7.99/8.09 (P7(f6(a2),a2)),
% 7.99/8.09 inference(scs_inference,[],[55,49,62,60,59,114,79,115,20,97])).
% 7.99/8.09 cnf(131,plain,
% 7.99/8.09 (P3(f6(x1311),x1311)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(133,plain,
% 7.99/8.09 (~P2(a11)),
% 7.99/8.09 inference(scs_inference,[],[55,49,62,60,59,114,79,115,20,97,77])).
% 7.99/8.09 cnf(135,plain,
% 7.99/8.09 (~P2(f12(a8))),
% 7.99/8.09 inference(scs_inference,[],[55,49,62,60,59,114,79,115,20,97,77,116])).
% 7.99/8.09 cnf(138,plain,
% 7.99/8.09 (P3(f6(x1381),x1381)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(141,plain,
% 7.99/8.09 (P3(f6(x1411),x1411)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(144,plain,
% 7.99/8.09 (P3(f9(x1441),f13(x1441))),
% 7.99/8.09 inference(rename_variables,[],[61])).
% 7.99/8.09 cnf(147,plain,
% 7.99/8.09 (P3(f6(x1471),x1471)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(150,plain,
% 7.99/8.09 (P3(f9(x1501),f13(x1501))),
% 7.99/8.09 inference(rename_variables,[],[61])).
% 7.99/8.09 cnf(153,plain,
% 7.99/8.09 (P3(f6(x1531),x1531)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(156,plain,
% 7.99/8.09 (P3(f9(x1561),f13(x1561))),
% 7.99/8.09 inference(rename_variables,[],[61])).
% 7.99/8.09 cnf(159,plain,
% 7.99/8.09 (P3(f6(x1591),x1591)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(164,plain,
% 7.99/8.09 (P12(f7(a8,a4),a8,a4)),
% 7.99/8.09 inference(scs_inference,[],[50,52,55,63,45,47,49,62,58,60,59,131,138,141,147,153,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119])).
% 7.99/8.09 cnf(166,plain,
% 7.99/8.09 (E(f14(a8,a11),a11)),
% 7.99/8.09 inference(scs_inference,[],[50,52,55,56,63,45,47,49,62,58,60,59,131,138,141,147,153,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120])).
% 7.99/8.09 cnf(168,plain,
% 7.99/8.09 (~P7(a4,f14(a8,a11))),
% 7.99/8.09 inference(scs_inference,[],[50,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123])).
% 7.99/8.09 cnf(170,plain,
% 7.99/8.09 (~E(a1,a11)),
% 7.99/8.09 inference(scs_inference,[],[50,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2])).
% 7.99/8.09 cnf(175,plain,
% 7.99/8.09 (P20(f9(x1751))),
% 7.99/8.09 inference(scs_inference,[],[50,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75])).
% 7.99/8.09 cnf(177,plain,
% 7.99/8.09 (P19(f9(x1771))),
% 7.99/8.09 inference(scs_inference,[],[50,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74])).
% 7.99/8.09 cnf(179,plain,
% 7.99/8.09 (P18(f9(x1791))),
% 7.99/8.09 inference(scs_inference,[],[50,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72])).
% 7.99/8.09 cnf(185,plain,
% 7.99/8.09 (E(f9(x1851),a1)),
% 7.99/8.09 inference(scs_inference,[],[50,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66])).
% 7.99/8.09 cnf(187,plain,
% 7.99/8.09 (P3(x1871,f13(x1871))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98])).
% 7.99/8.09 cnf(189,plain,
% 7.99/8.09 (~P2(f10(a2))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78])).
% 7.99/8.09 cnf(191,plain,
% 7.99/8.09 (E(f10(f14(a8,a11)),f10(a11))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12])).
% 7.99/8.09 cnf(192,plain,
% 7.99/8.09 (E(f7(x1921,f14(a8,a11)),f7(x1921,a11))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11])).
% 7.99/8.09 cnf(193,plain,
% 7.99/8.09 (E(f7(f14(a8,a11),x1931),f7(a11,x1931))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10])).
% 7.99/8.09 cnf(194,plain,
% 7.99/8.09 (E(f13(f14(a8,a11)),f13(a11))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9])).
% 7.99/8.09 cnf(195,plain,
% 7.99/8.09 (E(f14(x1951,f14(a8,a11)),f14(x1951,a11))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8])).
% 7.99/8.09 cnf(196,plain,
% 7.99/8.09 (E(f14(f14(a8,a11),x1961),f14(a11,x1961))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7])).
% 7.99/8.09 cnf(197,plain,
% 7.99/8.09 (E(f6(f14(a8,a11)),f6(a11))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6])).
% 7.99/8.09 cnf(198,plain,
% 7.99/8.09 (E(f12(f14(a8,a11)),f12(a11))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5])).
% 7.99/8.09 cnf(199,plain,
% 7.99/8.09 (E(f9(f14(a8,a11)),f9(a11))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5,4])).
% 7.99/8.09 cnf(200,plain,
% 7.99/8.09 (P3(f10(a2),f13(a2))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5,4,80])).
% 7.99/8.09 cnf(203,plain,
% 7.99/8.09 (~P12(f14(a8,a11),a8,a4)),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5,4,80,37,35])).
% 7.99/8.09 cnf(204,plain,
% 7.99/8.09 (~E(a1,a2)),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5,4,80,37,35,25])).
% 7.99/8.09 cnf(205,plain,
% 7.99/8.09 (~P7(f14(a8,a11),a4)),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5,4,80,37,35,25,19])).
% 7.99/8.09 cnf(207,plain,
% 7.99/8.09 (P9(f6(a1))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,159,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5,4,80,37,35,25,19,3,95])).
% 7.99/8.09 cnf(217,plain,
% 7.99/8.09 (P3(f14(a8,a11),f13(f12(a8)))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,159,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5,4,80,37,35,25,19,3,95,94,92,89,85,118])).
% 7.99/8.09 cnf(219,plain,
% 7.99/8.09 (P3(f7(a8,a4),f13(f12(a8)))),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,159,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5,4,80,37,35,25,19,3,95,94,92,89,85,118,122])).
% 7.99/8.09 cnf(227,plain,
% 7.99/8.09 (~P3(x2271,f14(a8,a11))+P3(x2271,a11)+P10(a11,a11)),
% 7.99/8.09 inference(scs_inference,[],[50,57,52,55,56,63,65,45,47,49,62,58,60,59,131,138,141,147,153,159,54,61,144,150,156,114,79,115,20,97,77,116,113,112,111,110,109,107,106,103,102,119,120,123,2,96,76,75,74,72,70,68,66,98,78,12,11,10,9,8,7,6,5,4,80,37,35,25,19,3,95,94,92,89,85,118,122,36,34,33,32,31,22,15])).
% 7.99/8.09 cnf(241,plain,
% 7.99/8.09 (P17(f6(a2))),
% 7.99/8.09 inference(scs_inference,[],[42,59,86])).
% 7.99/8.09 cnf(242,plain,
% 7.99/8.09 (P3(f6(x2421),x2421)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(245,plain,
% 7.99/8.09 (P3(f6(x2451),x2451)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(248,plain,
% 7.99/8.09 (E(f14(x2481,f14(a8,a11)),f14(x2481,a11))),
% 7.99/8.09 inference(rename_variables,[],[195])).
% 7.99/8.09 cnf(249,plain,
% 7.99/8.09 (P3(f6(x2491),x2491)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(252,plain,
% 7.99/8.09 (P3(f6(x2521),x2521)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(255,plain,
% 7.99/8.09 (P3(f6(x2551),x2551)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(258,plain,
% 7.99/8.09 (P3(f6(x2581),x2581)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(263,plain,
% 7.99/8.09 (P3(f6(x2631),x2631)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(266,plain,
% 7.99/8.09 (P3(f6(x2661),x2661)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(269,plain,
% 7.99/8.09 (P3(f6(x2691),x2691)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(271,plain,
% 7.99/8.09 (E(f14(a11,x2711),f14(f14(a8,a11),x2711))),
% 7.99/8.09 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,52,177,217,196,195,130,86,84,121,108,105,101,114,95,91,88,2])).
% 7.99/8.09 cnf(272,plain,
% 7.99/8.09 (~P12(f14(a8,f14(a8,a11)),a8,a4)),
% 7.99/8.09 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,52,177,217,196,195,248,203,130,86,84,121,108,105,101,114,95,91,88,2,35])).
% 7.99/8.09 cnf(273,plain,
% 7.99/8.09 (E(f14(x2731,f14(a8,a11)),f14(x2731,a11))),
% 7.99/8.09 inference(rename_variables,[],[195])).
% 7.99/8.09 cnf(274,plain,
% 7.99/8.09 (P11(f14(f14(a8,a11),x2741),f14(a11,x2741))),
% 7.99/8.09 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,57,52,177,217,196,195,248,203,130,86,84,121,108,105,101,114,95,91,88,2,35,32])).
% 7.99/8.09 cnf(275,plain,
% 7.99/8.09 (P11(f14(a11,x2751),f14(f14(a8,a11),x2751))),
% 7.99/8.09 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,57,52,177,217,196,195,248,203,130,86,84,121,108,105,101,114,95,91,88,2,35,32,31])).
% 7.99/8.09 cnf(277,plain,
% 7.99/8.09 (P3(f6(x2771),x2771)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(278,plain,
% 7.99/8.09 (E(f14(f14(a8,a11),f14(a8,a11)),f14(a11,a11))),
% 7.99/8.09 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,269,57,52,177,217,196,195,248,273,197,203,130,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3])).
% 7.99/8.09 cnf(282,plain,
% 7.99/8.09 (P3(f6(x2821),x2821)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(284,plain,
% 7.99/8.09 (P13(f6(f9(x2841)))),
% 7.99/8.09 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,269,277,282,57,52,177,217,196,195,248,273,197,203,130,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3,94,93])).
% 7.99/8.09 cnf(287,plain,
% 7.99/8.09 (P3(f6(x2871),x2871)),
% 7.99/8.09 inference(rename_variables,[],[59])).
% 7.99/8.09 cnf(289,plain,
% 7.99/8.09 (~P3(a11,f13(a1))),
% 7.99/8.09 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,269,277,282,57,49,55,52,175,177,217,196,195,248,273,197,203,130,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3,94,93,92,116])).
% 7.99/8.09 cnf(291,plain,
% 7.99/8.09 (~P11(a11,a1)),
% 7.99/8.09 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,269,277,282,57,49,55,52,175,177,217,196,195,248,273,197,203,130,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3,94,93,92,116,98])).
% 7.99/8.09 cnf(296,plain,
% 7.99/8.09 (P3(f9(x2961),f13(x2961))),
% 7.99/8.09 inference(rename_variables,[],[61])).
% 7.99/8.09 cnf(298,plain,
% 7.99/8.09 (P15(f6(f9(x2981)))),
% 7.99/8.09 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,269,277,282,287,61,57,49,55,52,175,177,179,217,196,195,248,273,197,194,126,135,185,207,203,130,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3,94,93,92,116,98,25,20,15,38,83])).
% 7.99/8.09 cnf(300,plain,
% 7.99/8.09 (P7(a4,f14(a8,f7(a8,a4)))),
% 7.99/8.10 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,269,277,282,287,61,57,49,55,63,52,58,175,177,179,217,196,195,248,273,219,197,194,126,135,185,207,203,130,164,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3,94,93,92,116,98,25,20,15,38,83,124])).
% 7.99/8.10 cnf(305,plain,
% 7.99/8.10 (P14(f10(a2))),
% 7.99/8.10 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,269,277,282,287,61,57,49,55,63,52,58,187,175,177,179,217,196,195,248,273,219,197,194,126,135,185,200,207,203,130,164,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3,94,93,92,116,98,25,20,15,38,83,124,117,104])).
% 7.99/8.10 cnf(307,plain,
% 7.99/8.10 (P1(f10(a2))),
% 7.99/8.10 inference(scs_inference,[],[50,42,44,46,48,51,59,242,245,249,252,255,258,263,266,269,277,282,287,61,57,49,55,63,52,58,187,175,177,179,217,196,195,248,273,219,197,194,126,135,185,200,207,203,130,164,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3,94,93,92,116,98,25,20,15,38,83,124,117,104,100])).
% 7.99/8.10 cnf(311,plain,
% 7.99/8.10 (P7(f9(x3111),f13(x3111))),
% 7.99/8.10 inference(scs_inference,[],[50,42,44,46,48,51,64,59,242,245,249,252,255,258,263,266,269,277,282,287,61,296,57,49,55,63,52,58,187,175,177,179,217,196,195,248,273,219,197,194,126,135,185,200,207,203,130,164,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3,94,93,92,116,98,25,20,15,38,83,124,117,104,100,79,97])).
% 7.99/8.10 cnf(314,plain,
% 7.99/8.10 (P7(f9(a11),f13(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[50,42,44,46,48,51,64,59,242,245,249,252,255,258,263,266,269,277,282,287,61,296,57,49,55,63,52,58,187,175,177,179,217,196,195,248,273,219,199,197,194,126,135,185,200,207,203,130,164,86,84,121,108,105,101,114,95,91,88,2,35,32,31,14,3,94,93,92,116,98,25,20,15,38,83,124,117,104,100,79,97,19])).
% 7.99/8.10 cnf(328,plain,
% 7.99/8.10 (P17(f6(f10(a2)))),
% 7.99/8.10 inference(scs_inference,[],[59,305,86])).
% 7.99/8.10 cnf(329,plain,
% 7.99/8.10 (P3(f6(x3291),x3291)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(332,plain,
% 7.99/8.10 (P3(f6(x3321),x3321)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(335,plain,
% 7.99/8.10 (P3(f6(x3351),x3351)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(343,plain,
% 7.99/8.10 (~P11(f14(a8,a11),a1)),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,44,166,274,305,300,291,200,86,113,112,108,114,98,31])).
% 7.99/8.10 cnf(346,plain,
% 7.99/8.10 (~E(f7(a8,a4),a11)),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,65,44,166,274,204,305,300,170,291,164,200,86,113,112,108,114,98,31,3,2,35])).
% 7.99/8.10 cnf(347,plain,
% 7.99/8.10 (~P11(a11,f9(x3471))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,65,44,166,274,204,305,300,170,291,185,164,200,86,113,112,108,114,98,31,3,2,35,32])).
% 7.99/8.10 cnf(348,plain,
% 7.99/8.10 (~P7(a4,f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,65,44,166,274,168,204,305,300,170,291,195,185,164,200,86,113,112,108,114,98,31,3,2,35,32,20])).
% 7.99/8.10 cnf(350,plain,
% 7.99/8.10 (~P2(f14(a8,a11))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,65,44,166,274,168,204,305,300,133,170,291,195,185,164,200,86,113,112,108,114,98,31,3,2,35,32,20,25])).
% 7.99/8.10 cnf(351,plain,
% 7.99/8.10 (~P3(f14(a8,a11),f13(a1))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,65,44,166,274,168,289,204,305,300,133,170,291,195,185,164,200,86,113,112,108,114,98,31,3,2,35,32,20,25,14])).
% 7.99/8.10 cnf(352,plain,
% 7.99/8.10 (~E(f13(f12(a8)),f13(a1))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,65,44,60,166,274,168,289,204,305,300,133,170,291,195,185,164,200,86,113,112,108,114,98,31,3,2,35,32,20,25,14,15])).
% 7.99/8.10 cnf(354,plain,
% 7.99/8.10 (~P7(f14(a8,a11),f13(a1))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,65,44,60,284,166,274,168,289,204,305,300,133,170,291,195,185,164,200,86,113,112,108,114,98,31,3,2,35,32,20,25,14,15,30,96])).
% 7.99/8.10 cnf(356,plain,
% 7.99/8.10 (~P3(a11,f13(f9(x3561)))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,65,44,60,284,166,274,168,289,204,305,300,133,170,291,195,185,164,200,86,113,112,108,114,98,31,3,2,35,32,20,25,14,15,30,96,115])).
% 7.99/8.10 cnf(359,plain,
% 7.99/8.10 (P3(f9(a11),f13(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,48,65,44,60,284,166,274,168,289,314,204,305,300,133,170,291,187,195,185,164,200,86,113,112,108,114,98,31,3,2,35,32,20,25,14,15,30,96,115,9,117])).
% 7.99/8.10 cnf(360,plain,
% 7.99/8.10 (P3(x3601,f13(x3601))),
% 7.99/8.10 inference(rename_variables,[],[187])).
% 7.99/8.10 cnf(362,plain,
% 7.99/8.10 (P16(f6(f10(a2)))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,335,48,65,44,60,284,166,274,168,289,314,204,305,300,133,170,291,187,195,185,164,200,86,113,112,108,114,98,31,3,2,35,32,20,25,14,15,30,96,115,9,117,90])).
% 7.99/8.10 cnf(363,plain,
% 7.99/8.10 (P3(f6(x3631),x3631)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(365,plain,
% 7.99/8.10 (~P3(a4,f14(a8,a11))),
% 7.99/8.10 inference(scs_inference,[],[59,329,332,335,48,65,44,60,284,166,274,168,289,314,204,305,300,133,170,291,187,195,185,164,200,86,113,112,108,114,98,31,3,2,35,32,20,25,14,15,30,96,115,9,117,90,97])).
% 7.99/8.10 cnf(368,plain,
% 7.99/8.10 (P3(f6(x3681),x3681)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(385,plain,
% 7.99/8.10 (P19(f10(a2))),
% 7.99/8.10 inference(scs_inference,[],[52,40,51,59,329,332,335,363,368,61,46,48,65,44,60,47,284,166,274,168,289,314,204,305,300,133,170,291,187,360,195,185,164,200,50,86,113,112,108,114,98,31,3,2,35,32,20,25,14,15,30,96,115,9,117,90,97,227,82,81,101,105,120,110,107,103,111])).
% 7.99/8.10 cnf(390,plain,
% 7.99/8.10 (P3(a4,f14(a8,f7(a8,a4)))),
% 7.99/8.10 inference(scs_inference,[],[300,96])).
% 7.99/8.10 cnf(392,plain,
% 7.99/8.10 (P11(f6(f13(x3921)),x3921)),
% 7.99/8.10 inference(scs_inference,[],[59,300,96,115])).
% 7.99/8.10 cnf(393,plain,
% 7.99/8.10 (P3(f6(x3931),x3931)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(395,plain,
% 7.99/8.10 (E(f13(f9(x3951)),f13(a1))),
% 7.99/8.10 inference(scs_inference,[],[59,300,185,96,115,9])).
% 7.99/8.10 cnf(396,plain,
% 7.99/8.10 (P7(f6(f13(x3961)),f13(x3961))),
% 7.99/8.10 inference(scs_inference,[],[64,59,393,300,185,96,115,9,97])).
% 7.99/8.10 cnf(397,plain,
% 7.99/8.10 (P3(f6(x3971),x3971)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(401,plain,
% 7.99/8.10 (~E(f13(f12(a8)),f13(f9(x4011)))),
% 7.99/8.10 inference(scs_inference,[],[64,59,393,205,352,300,195,185,96,115,9,97,19,3])).
% 7.99/8.10 cnf(402,plain,
% 7.99/8.10 (P11(f7(a11,x4021),f7(f14(a8,a11),x4021))),
% 7.99/8.10 inference(scs_inference,[],[64,59,393,57,205,352,193,300,195,185,96,115,9,97,19,3,31])).
% 7.99/8.10 cnf(403,plain,
% 7.99/8.10 (P11(x4031,x4031)),
% 7.99/8.10 inference(rename_variables,[],[57])).
% 7.99/8.10 cnf(406,plain,
% 7.99/8.10 (~E(f7(a8,a4),f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[64,59,393,61,57,205,352,272,193,300,195,185,164,96,115,9,97,19,3,31,14,35])).
% 7.99/8.10 cnf(407,plain,
% 7.99/8.10 (P11(f7(f14(a8,a11),x4071),f7(a11,x4071))),
% 7.99/8.10 inference(scs_inference,[],[64,59,393,61,57,403,205,352,272,193,300,195,185,164,96,115,9,97,19,3,31,14,35,32])).
% 7.99/8.10 cnf(411,plain,
% 7.99/8.10 (E(f7(a11,x4111),f7(f14(a8,a11),x4111))),
% 7.99/8.10 inference(scs_inference,[],[64,59,393,61,57,403,49,55,205,348,352,272,193,300,195,185,164,96,115,9,97,19,3,31,14,35,32,20,25,2])).
% 7.99/8.10 cnf(415,plain,
% 7.99/8.10 (~P7(f13(x4151),f6(f13(x4151)))),
% 7.99/8.10 inference(scs_inference,[],[53,64,59,393,397,61,57,403,49,55,205,348,352,272,271,193,300,195,185,164,96,115,9,97,19,3,31,14,35,32,20,25,2,15,29,114])).
% 7.99/8.10 cnf(430,plain,
% 7.99/8.10 (~P7(a11,f13(f9(x4301)))),
% 7.99/8.10 inference(scs_inference,[],[356,96])).
% 7.99/8.10 cnf(432,plain,
% 7.99/8.10 (P7(a11,f13(f12(a8)))),
% 7.99/8.10 inference(scs_inference,[],[64,60,356,96,97])).
% 7.99/8.10 cnf(433,plain,
% 7.99/8.10 (~P2(f13(x4331))),
% 7.99/8.10 inference(rename_variables,[],[64])).
% 7.99/8.10 cnf(438,plain,
% 7.99/8.10 (E(f7(a11,f14(a8,a11)),f7(f14(a8,a11),a11))),
% 7.99/8.10 inference(scs_inference,[],[64,60,415,411,401,395,192,356,96,97,19,9,3])).
% 7.99/8.10 cnf(439,plain,
% 7.99/8.10 (E(f7(a11,x4391),f7(f14(a8,a11),x4391))),
% 7.99/8.10 inference(rename_variables,[],[411])).
% 7.99/8.10 cnf(442,plain,
% 7.99/8.10 (P3(f6(x4421),x4421)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(446,plain,
% 7.99/8.10 (P3(f6(x4461),x4461)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(448,plain,
% 7.99/8.10 (~P2(f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[125,64,59,442,57,60,392,415,350,343,411,439,401,395,365,192,356,195,96,97,19,9,3,14,31,20,15,32,25])).
% 7.99/8.10 cnf(449,plain,
% 7.99/8.10 (~E(f14(a8,f14(a8,a11)),f7(a8,a4))),
% 7.99/8.10 inference(scs_inference,[],[125,64,59,442,57,60,392,415,350,406,343,411,439,401,395,365,192,356,195,96,97,19,9,3,14,31,20,15,32,25,2])).
% 7.99/8.10 cnf(453,plain,
% 7.99/8.10 (~P2(f10(f13(x4531)))),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78])).
% 7.99/8.10 cnf(457,plain,
% 7.99/8.10 (E(f7(f9(x4571),x4572),f7(a1,x4572))),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,185,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78,80,10])).
% 7.99/8.10 cnf(458,plain,
% 7.99/8.10 (E(f14(x4581,f9(x4582)),f14(x4581,a1))),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,185,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78,80,10,8])).
% 7.99/8.10 cnf(459,plain,
% 7.99/8.10 (E(f6(f9(x4591)),f6(a1))),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,185,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78,80,10,8,6])).
% 7.99/8.10 cnf(460,plain,
% 7.99/8.10 (E(f12(f9(x4601)),f12(a1))),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,185,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78,80,10,8,6,5])).
% 7.99/8.10 cnf(461,plain,
% 7.99/8.10 (~P7(f13(f12(a8)),a11)),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,185,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78,80,10,8,6,5,114])).
% 7.99/8.10 cnf(466,plain,
% 7.99/8.10 (E(f10(f9(x4661)),f10(a1))),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,446,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,185,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78,80,10,8,6,5,114,30,122,12])).
% 7.99/8.10 cnf(467,plain,
% 7.99/8.10 (E(f7(x4671,f9(x4672)),f7(x4671,a1))),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,446,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,185,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78,80,10,8,6,5,114,30,122,12,11])).
% 7.99/8.10 cnf(468,plain,
% 7.99/8.10 (E(f14(f9(x4681),x4682),f14(a1,x4682))),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,446,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,185,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78,80,10,8,6,5,114,30,122,12,11,7])).
% 7.99/8.10 cnf(469,plain,
% 7.99/8.10 (E(f9(f9(x4691)),f9(a1))),
% 7.99/8.10 inference(scs_inference,[],[125,51,64,433,59,442,446,57,60,392,415,298,350,406,343,411,439,401,395,365,192,356,195,185,96,97,19,9,3,14,31,20,15,32,25,2,28,76,78,80,10,8,6,5,114,30,122,12,11,7,4])).
% 7.99/8.10 cnf(475,plain,
% 7.99/8.10 (~P3(f13(f12(a8)),a11)),
% 7.99/8.10 inference(scs_inference,[],[461,133,97])).
% 7.99/8.10 cnf(478,plain,
% 7.99/8.10 (E(f7(f9(x4781),f9(x4782)),f7(a1,a1))),
% 7.99/8.10 inference(scs_inference,[],[55,457,467,461,133,97,19,3])).
% 7.99/8.10 cnf(479,plain,
% 7.99/8.10 (E(f7(f9(x4791),x4792),f7(a1,x4792))),
% 7.99/8.10 inference(rename_variables,[],[457])).
% 7.99/8.10 cnf(481,plain,
% 7.99/8.10 (~P3(f14(a8,f14(a8,a11)),f13(a1))),
% 7.99/8.10 inference(scs_inference,[],[55,457,467,461,351,133,195,97,19,3,14])).
% 7.99/8.10 cnf(483,plain,
% 7.99/8.10 (~P7(f13(f12(a8)),f14(a8,a11))),
% 7.99/8.10 inference(scs_inference,[],[55,457,467,461,351,133,195,166,97,19,3,14,20])).
% 7.99/8.10 cnf(484,plain,
% 7.99/8.10 (~P11(f14(a8,a11),f9(x4841))),
% 7.99/8.10 inference(scs_inference,[],[55,457,467,461,347,351,133,195,166,97,19,3,14,20,31])).
% 7.99/8.10 cnf(485,plain,
% 7.99/8.10 (~P3(f14(a8,a11),f13(f9(x4851)))),
% 7.99/8.10 inference(scs_inference,[],[55,457,467,461,347,351,395,133,195,166,97,19,3,14,20,31,15])).
% 7.99/8.10 cnf(486,plain,
% 7.99/8.10 (E(f7(a1,x4861),f7(f9(x4862),x4861))),
% 7.99/8.10 inference(scs_inference,[],[55,457,479,467,461,347,351,395,133,195,166,97,19,3,14,20,31,15,2])).
% 7.99/8.10 cnf(489,plain,
% 7.99/8.10 (P3(f6(x4891),x4891)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(494,plain,
% 7.99/8.10 (~P11(f14(a8,f14(a8,a11)),a1)),
% 7.99/8.10 inference(scs_inference,[],[55,59,489,457,479,467,328,461,347,351,395,133,175,195,166,97,19,3,14,20,31,15,2,27,95,117,98])).
% 7.99/8.10 cnf(496,plain,
% 7.99/8.10 (~P11(f14(a8,f14(a8,a11)),f9(x4961))),
% 7.99/8.10 inference(scs_inference,[],[55,59,489,457,479,467,328,461,347,351,395,133,175,195,166,185,97,19,3,14,20,31,15,2,27,95,117,98,32])).
% 7.99/8.10 cnf(530,plain,
% 7.99/8.10 (~P3(f13(f12(a8)),f13(f9(x5301)))),
% 7.99/8.10 inference(scs_inference,[],[54,432,116])).
% 7.99/8.10 cnf(532,plain,
% 7.99/8.10 (P11(f9(x5321),x5321)),
% 7.99/8.10 inference(scs_inference,[],[54,61,432,116,115])).
% 7.99/8.10 cnf(534,plain,
% 7.99/8.10 (P3(f7(f14(a8,a11),x5341),f13(f7(a11,x5341)))),
% 7.99/8.10 inference(scs_inference,[],[54,61,407,432,116,115,98])).
% 7.99/8.10 cnf(536,plain,
% 7.99/8.10 (P7(f6(f10(a2)),f10(a2))),
% 7.99/8.10 inference(scs_inference,[],[59,54,61,407,189,432,116,115,98,97])).
% 7.99/8.10 cnf(537,plain,
% 7.99/8.10 (P3(f6(x5371),x5371)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(541,plain,
% 7.99/8.10 (P3(f7(f9(x5411),x5412),f13(f7(a1,x5412)))),
% 7.99/8.10 inference(scs_inference,[],[59,54,61,449,407,486,189,432,187,195,116,115,98,97,3,14])).
% 7.99/8.10 cnf(545,plain,
% 7.99/8.10 (P11(f14(a1,x5451),f14(f9(x5452),x5451))),
% 7.99/8.10 inference(scs_inference,[],[126,59,54,57,61,449,407,468,486,189,432,396,187,195,116,115,98,97,3,14,20,31])).
% 7.99/8.10 cnf(546,plain,
% 7.99/8.10 (P11(x5461,x5461)),
% 7.99/8.10 inference(rename_variables,[],[57])).
% 7.99/8.10 cnf(548,plain,
% 7.99/8.10 (P3(f6(f7(a1,x5481)),f7(f9(x5482),x5481))),
% 7.99/8.10 inference(scs_inference,[],[126,59,537,54,57,61,449,346,407,468,486,189,432,396,187,195,116,115,98,97,3,14,20,31,2,15])).
% 7.99/8.10 cnf(549,plain,
% 7.99/8.10 (P3(f6(x5491),x5491)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(550,plain,
% 7.99/8.10 (P11(f14(f9(x5501),x5502),f14(a1,x5502))),
% 7.99/8.10 inference(scs_inference,[],[126,59,537,54,57,546,61,449,346,407,468,486,189,432,396,187,195,116,115,98,97,3,14,20,31,2,15,32])).
% 7.99/8.10 cnf(553,plain,
% 7.99/8.10 (P13(f6(f10(a2)))),
% 7.99/8.10 inference(scs_inference,[],[126,59,537,549,54,57,546,61,449,346,407,468,486,189,432,385,396,187,195,50,116,115,98,97,3,14,20,31,2,15,32,26,93])).
% 7.99/8.10 cnf(589,plain,
% 7.99/8.10 (~P3(f14(a8,f14(a8,a11)),f13(f9(x5891)))),
% 7.99/8.10 inference(scs_inference,[],[485,496,536,200,117,96,115])).
% 7.99/8.10 cnf(591,plain,
% 7.99/8.10 (~P11(f13(f12(a8)),f9(x5911))),
% 7.99/8.10 inference(scs_inference,[],[485,496,530,536,200,117,96,115,98])).
% 7.99/8.10 cnf(593,plain,
% 7.99/8.10 (P7(a4,f12(a8))),
% 7.99/8.10 inference(scs_inference,[],[58,485,496,530,536,135,200,117,96,115,98,97])).
% 7.99/8.10 cnf(595,plain,
% 7.99/8.10 (E(f14(a11,f9(x5951)),f14(f14(a8,a11),a1))),
% 7.99/8.10 inference(scs_inference,[],[58,485,496,530,536,458,135,271,200,117,96,115,98,97,3])).
% 7.99/8.10 cnf(596,plain,
% 7.99/8.10 (E(f14(x5961,f9(x5962)),f14(x5961,a1))),
% 7.99/8.10 inference(rename_variables,[],[458])).
% 7.99/8.10 cnf(602,plain,
% 7.99/8.10 (~P7(f13(f12(a8)),f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[57,58,61,484,485,496,483,530,536,458,135,271,200,195,117,96,115,98,97,3,14,31,20])).
% 7.99/8.10 cnf(604,plain,
% 7.99/8.10 (E(f14(x6041,a1),f14(x6041,f9(x6042)))),
% 7.99/8.10 inference(scs_inference,[],[57,58,61,484,485,496,483,530,536,458,596,135,271,200,195,117,96,115,98,97,3,14,31,20,2])).
% 7.99/8.10 cnf(605,plain,
% 7.99/8.10 (~E(f12(a8),f14(a8,a11))),
% 7.99/8.10 inference(scs_inference,[],[57,58,61,484,485,496,483,530,536,458,596,135,365,271,200,195,117,96,115,98,97,3,14,31,20,2,15])).
% 7.99/8.10 cnf(634,plain,
% 7.99/8.10 (~P3(f12(a8),f13(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[593,365,117])).
% 7.99/8.10 cnf(642,plain,
% 7.99/8.10 (E(f14(a11,f9(x6421)),f14(f14(a8,a11),f9(x6422)))),
% 7.99/8.10 inference(scs_inference,[],[359,448,550,602,604,595,593,365,117,115,98,97,3])).
% 7.99/8.10 cnf(644,plain,
% 7.99/8.10 (~E(f6(f13(a1)),f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[59,359,448,550,602,604,481,595,593,365,117,115,98,97,3,14])).
% 7.99/8.10 cnf(646,plain,
% 7.99/8.10 (~E(f9(x6461),f13(f12(a8)))),
% 7.99/8.10 inference(scs_inference,[],[59,57,359,448,550,591,602,604,481,595,593,365,117,115,98,97,3,14,31])).
% 7.99/8.10 cnf(650,plain,
% 7.99/8.10 (~E(f14(a8,a11),f12(a8))),
% 7.99/8.10 inference(scs_inference,[],[59,57,359,448,550,591,602,604,481,595,605,593,311,194,365,117,115,98,97,3,14,31,20,2])).
% 7.99/8.10 cnf(651,plain,
% 7.99/8.10 (~P3(f13(f12(a8)),f14(a8,a11))),
% 7.99/8.10 inference(scs_inference,[],[59,57,359,448,550,591,602,604,481,595,605,475,593,311,194,365,166,117,115,98,97,3,14,31,20,2,15])).
% 7.99/8.10 cnf(653,plain,
% 7.99/8.10 (P3(f10(f14(a8,a11)),f13(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[59,57,359,448,550,591,602,604,481,595,362,605,475,593,311,350,194,365,166,117,115,98,97,3,14,31,20,2,15,23,80])).
% 7.99/8.10 cnf(655,plain,
% 7.99/8.10 (~P2(f10(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[59,57,359,448,550,591,602,604,481,595,362,605,475,593,311,350,194,365,166,117,115,98,97,3,14,31,20,2,15,23,80,78])).
% 7.99/8.10 cnf(676,plain,
% 7.99/8.10 (~P11(f12(a8),f14(a8,a11))),
% 7.99/8.10 inference(scs_inference,[],[634,98])).
% 7.99/8.10 cnf(678,plain,
% 7.99/8.10 (P7(f6(a11),a11)),
% 7.99/8.10 inference(scs_inference,[],[59,634,133,98,97])).
% 7.99/8.10 cnf(682,plain,
% 7.99/8.10 (P3(f9(a1),f13(f9(x6821)))),
% 7.99/8.10 inference(scs_inference,[],[59,61,650,634,469,133,166,98,97,3,14])).
% 7.99/8.10 cnf(689,plain,
% 7.99/8.10 (~P11(f12(a8),f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[126,59,57,61,642,650,634,469,536,133,195,166,98,97,3,14,31,2,20,32])).
% 7.99/8.10 cnf(749,plain,
% 7.99/8.10 (P3(f6(a11),f12(a8))),
% 7.99/8.10 inference(scs_inference,[],[60,678,117])).
% 7.99/8.10 cnf(751,plain,
% 7.99/8.10 (~P7(a11,f6(a11))),
% 7.99/8.10 inference(scs_inference,[],[60,678,117,114])).
% 7.99/8.10 cnf(753,plain,
% 7.99/8.10 (P7(f9(a1),f13(f9(x7531)))),
% 7.99/8.10 inference(scs_inference,[],[60,678,469,311,117,114,19])).
% 7.99/8.10 cnf(755,plain,
% 7.99/8.10 (P7(f7(f14(a8,a11),x7551),f13(f7(a11,x7551)))),
% 7.99/8.10 inference(scs_inference,[],[60,64,534,678,469,311,117,114,19,97])).
% 7.99/8.10 cnf(758,plain,
% 7.99/8.10 (~E(a1,f10(f13(x7581)))),
% 7.99/8.10 inference(scs_inference,[],[60,64,49,453,534,678,469,311,117,114,19,97,25])).
% 7.99/8.10 cnf(759,plain,
% 7.99/8.10 (E(f7(f9(x7591),f9(x7592)),f7(f9(x7593),a1))),
% 7.99/8.10 inference(scs_inference,[],[60,64,49,453,534,678,478,469,311,486,117,114,19,97,25,3])).
% 7.99/8.10 cnf(761,plain,
% 7.99/8.10 (~E(f9(f9(x7611)),f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[60,64,49,61,453,589,534,678,478,469,311,486,117,114,19,97,25,3,14])).
% 7.99/8.10 cnf(766,plain,
% 7.99/8.10 (~E(f14(a8,f14(a8,a11)),f6(f13(a1)))),
% 7.99/8.10 inference(scs_inference,[],[60,64,49,61,532,453,589,534,644,676,678,478,348,469,593,311,486,117,114,19,97,25,3,14,31,20,2])).
% 7.99/8.10 cnf(791,plain,
% 7.99/8.10 (~P7(x7911,f6(f13(a1)))),
% 7.99/8.10 inference(scs_inference,[],[49,59,116])).
% 7.99/8.10 cnf(792,plain,
% 7.99/8.10 (P3(f6(x7921),x7921)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(794,plain,
% 7.99/8.10 (~P3(f13(f12(a8)),f13(f13(a1)))),
% 7.99/8.10 inference(scs_inference,[],[49,59,432,289,116,117])).
% 7.99/8.10 cnf(796,plain,
% 7.99/8.10 (~P7(f13(f7(a11,x7961)),f7(f14(a8,a11),x7961))),
% 7.99/8.10 inference(scs_inference,[],[49,59,755,432,289,116,117,114])).
% 7.99/8.10 cnf(800,plain,
% 7.99/8.10 (~P3(a4,f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[49,59,755,753,430,448,432,348,289,116,117,114,19,97])).
% 7.99/8.10 cnf(804,plain,
% 7.99/8.10 (E(f7(a1,f9(x8041)),f7(f9(x8042),a1))),
% 7.99/8.10 inference(scs_inference,[],[49,59,792,755,651,759,753,430,448,432,348,289,486,116,117,114,19,97,14,3])).
% 7.99/8.10 cnf(805,plain,
% 7.99/8.10 (E(f7(f9(x8051),f9(x8052)),f7(f9(x8053),a1))),
% 7.99/8.10 inference(rename_variables,[],[759])).
% 7.99/8.10 cnf(811,plain,
% 7.99/8.10 (E(f7(f9(x8111),a1),f7(f9(x8112),f9(x8113)))),
% 7.99/8.10 inference(scs_inference,[],[49,59,792,57,755,651,759,805,689,753,430,448,411,432,348,289,486,116,117,114,19,97,14,3,20,31,2])).
% 7.99/8.10 cnf(817,plain,
% 7.99/8.10 (P20(f10(a2))),
% 7.99/8.10 inference(scs_inference,[],[43,48,49,59,792,57,755,651,275,759,805,689,753,430,278,448,634,411,432,348,289,486,187,200,116,117,114,19,97,14,3,20,31,2,32,15,17,113])).
% 7.99/8.10 cnf(819,plain,
% 7.99/8.10 (P3(f14(a11,f14(a8,a11)),f13(f14(a11,a11)))),
% 7.99/8.10 inference(scs_inference,[],[43,48,49,59,792,57,755,651,275,759,805,689,753,430,278,448,634,411,432,348,289,486,187,200,116,117,114,19,97,14,3,20,31,2,32,15,17,113,98])).
% 7.99/8.10 cnf(828,plain,
% 7.99/8.10 (~P7(f14(a8,f14(a8,a11)),f13(f9(x8281)))),
% 7.99/8.10 inference(scs_inference,[],[60,43,48,49,59,792,57,755,541,651,275,759,805,689,753,430,278,589,448,634,411,432,348,289,486,187,200,116,117,114,19,97,14,3,20,31,2,32,15,17,113,98,21,95,92,112,96])).
% 7.99/8.10 cnf(837,plain,
% 7.99/8.10 (~P3(a2,f13(f9(x8371)))),
% 7.99/8.10 inference(scs_inference,[],[130,54,116])).
% 7.99/8.10 cnf(839,plain,
% 7.99/8.10 (~P11(f13(f12(a8)),f13(a1))),
% 7.99/8.10 inference(scs_inference,[],[130,54,794,116,98])).
% 7.99/8.10 cnf(842,plain,
% 7.99/8.10 (P3(f6(x8421),x8421)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(850,plain,
% 7.99/8.10 (E(f7(f9(x8501),a1),f7(f9(x8502),f9(x8503)))),
% 7.99/8.10 inference(rename_variables,[],[811])).
% 7.99/8.10 cnf(857,plain,
% 7.99/8.10 (~P11(f13(f12(a8)),f13(f9(x8571)))),
% 7.99/8.10 inference(scs_inference,[],[130,126,133,54,59,57,828,761,766,811,850,794,541,753,135,395,300,195,116,98,97,19,25,3,14,31,2,20,32])).
% 7.99/8.10 cnf(858,plain,
% 7.99/8.10 (P3(f6(f14(a8,a11)),a11)),
% 7.99/8.10 inference(scs_inference,[],[130,126,133,54,59,842,57,828,761,766,811,850,794,541,753,135,395,300,195,166,116,98,97,19,25,3,14,31,2,20,32,15])).
% 7.99/8.10 cnf(863,plain,
% 7.99/8.10 (~P2(f10(a11))),
% 7.99/8.10 inference(scs_inference,[],[41,130,126,133,54,59,842,57,828,761,766,811,850,794,541,753,135,395,300,195,166,116,98,97,19,25,3,14,31,2,20,32,15,16,80,78])).
% 7.99/8.10 cnf(893,plain,
% 7.99/8.10 (P7(f6(f14(a8,a11)),a11)),
% 7.99/8.10 inference(scs_inference,[],[133,858,97])).
% 7.99/8.10 cnf(895,plain,
% 7.99/8.10 (P7(f7(a11,x8951),f13(f7(a11,x8951)))),
% 7.99/8.10 inference(scs_inference,[],[133,858,755,193,97,19])).
% 7.99/8.10 cnf(900,plain,
% 7.99/8.10 (E(f7(a1,f9(x9001)),f7(f9(x9002),f9(x9003)))),
% 7.99/8.10 inference(scs_inference,[],[133,49,61,858,655,804,837,811,755,193,97,19,25,14,3])).
% 7.99/8.10 cnf(901,plain,
% 7.99/8.10 (E(f7(a1,f9(x9011)),f7(f9(x9012),a1))),
% 7.99/8.10 inference(rename_variables,[],[804])).
% 7.99/8.10 cnf(902,plain,
% 7.99/8.10 (E(f7(f9(x9021),a1),f7(a1,f9(x9022)))),
% 7.99/8.10 inference(scs_inference,[],[133,49,61,858,655,804,901,837,811,755,193,97,19,25,14,3,2])).
% 7.99/8.10 cnf(906,plain,
% 7.99/8.10 (~E(f13(f9(x9061)),f13(f12(a8)))),
% 7.99/8.10 inference(scs_inference,[],[133,49,57,61,858,655,796,857,804,901,837,811,467,755,193,97,19,25,14,3,2,20,31])).
% 7.99/8.10 cnf(907,plain,
% 7.99/8.10 (P11(x9071,x9071)),
% 7.99/8.10 inference(rename_variables,[],[57])).
% 7.99/8.10 cnf(910,plain,
% 7.99/8.10 (~E(f14(a8,f7(a8,a4)),f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[133,49,57,907,61,858,655,796,857,804,901,800,837,390,811,467,755,193,97,19,25,14,3,2,20,31,32,15])).
% 7.99/8.10 cnf(937,plain,
% 7.99/8.10 (~P7(a11,f6(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[906,682,893,9,115,114])).
% 7.99/8.10 cnf(939,plain,
% 7.99/8.10 (P2(f6(f13(a1)))),
% 7.99/8.10 inference(scs_inference,[],[59,791,906,682,893,9,115,114,97])).
% 7.99/8.10 cnf(941,plain,
% 7.99/8.10 (P3(f6(x9411),x9411)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(943,plain,
% 7.99/8.10 (P7(a1,f13(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[59,791,906,682,893,314,185,9,115,114,97,19])).
% 7.99/8.10 cnf(945,plain,
% 7.99/8.10 (~E(f6(a11),f13(f12(a8)))),
% 7.99/8.10 inference(scs_inference,[],[59,941,791,906,682,893,475,314,185,9,115,114,97,19,14])).
% 7.99/8.10 cnf(947,plain,
% 7.99/8.10 (~P7(f13(f7(a11,a11)),f7(a11,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[59,941,791,906,682,893,796,475,438,314,185,9,115,114,97,19,14,20])).
% 7.99/8.10 cnf(951,plain,
% 7.99/8.10 (~E(f14(a8,f14(a8,a11)),f14(a8,f7(a8,a4)))),
% 7.99/8.10 inference(scs_inference,[],[59,941,910,791,906,682,902,893,796,759,475,438,314,185,9,115,114,97,19,14,20,3,2])).
% 7.99/8.10 cnf(957,plain,
% 7.99/8.10 (~E(f13(a2),f13(f9(x9571)))),
% 7.99/8.10 inference(scs_inference,[],[59,941,57,910,545,791,906,682,902,893,839,796,759,837,458,475,438,314,187,185,9,115,114,97,19,14,20,3,2,31,32,15])).
% 7.99/8.10 cnf(961,plain,
% 7.99/8.10 (E(f6(f13(a1)),a1)),
% 7.99/8.10 inference(scs_inference,[],[59,941,57,910,545,791,906,682,749,902,893,839,796,759,837,458,475,438,314,187,63,50,52,185,9,115,114,97,19,14,20,3,2,31,32,15,119,66])).
% 7.99/8.10 cnf(968,plain,
% 7.99/8.10 (P3(f7(a8,f6(a11)),f13(f12(a8)))),
% 7.99/8.10 inference(scs_inference,[],[59,941,57,61,910,545,791,900,906,682,749,902,893,839,796,759,837,458,475,438,217,314,187,63,50,52,185,9,115,114,97,19,14,20,3,2,31,32,15,119,66,13,87,118,122])).
% 7.99/8.10 cnf(987,plain,
% 7.99/8.10 (P7(f6(f10(a11)),f10(a11))),
% 7.99/8.10 inference(scs_inference,[],[59,863,97])).
% 7.99/8.10 cnf(990,plain,
% 7.99/8.10 (~P7(f14(a8,a11),f6(a11))),
% 7.99/8.10 inference(scs_inference,[],[59,751,863,166,97,19])).
% 7.99/8.10 cnf(991,plain,
% 7.99/8.10 (P3(f10(a11),f13(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[59,751,863,191,653,166,97,19,14])).
% 7.99/8.10 cnf(994,plain,
% 7.99/8.10 (E(a1,f6(f13(a1)))),
% 7.99/8.10 inference(scs_inference,[],[126,59,751,863,961,191,653,166,97,19,14,20,2])).
% 7.99/8.10 cnf(1039,plain,
% 7.99/8.10 (~P7(f13(f12(a8)),f10(a11))),
% 7.99/8.10 inference(scs_inference,[],[991,651,117])).
% 7.99/8.10 cnf(1042,plain,
% 7.99/8.10 (~P7(f10(a11),f6(f10(a11)))),
% 7.99/8.10 inference(scs_inference,[],[991,987,651,203,164,117,35,114])).
% 7.99/8.10 cnf(1044,plain,
% 7.99/8.10 (P7(f7(a8,f6(a11)),f13(f12(a8)))),
% 7.99/8.10 inference(scs_inference,[],[64,968,991,987,651,203,164,117,35,114,97])).
% 7.99/8.10 cnf(1047,plain,
% 7.99/8.10 (P7(f6(f13(a1)),f13(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[64,968,991,987,994,943,651,203,164,117,35,114,97,19])).
% 7.99/8.10 cnf(1056,plain,
% 7.99/8.10 (P3(f6(a1),f6(f13(a1)))),
% 7.99/8.10 inference(scs_inference,[],[64,59,937,402,646,968,991,987,994,943,804,902,651,192,634,203,432,164,117,35,114,97,19,14,20,3,2,31,15])).
% 7.99/8.10 cnf(1061,plain,
% 7.99/8.10 (~P2(f10(f12(a8)))),
% 7.99/8.10 inference(scs_inference,[],[135,44,64,59,57,937,402,646,968,991,987,994,943,804,902,651,192,634,203,432,164,117,35,114,97,19,14,20,3,2,31,15,32,17,78])).
% 7.99/8.10 cnf(1103,plain,
% 7.99/8.10 (~P3(a2,f13(a1))),
% 7.99/8.10 inference(scs_inference,[],[130,49,116])).
% 7.99/8.10 cnf(1112,plain,
% 7.99/8.10 (~E(f6(f10(a11)),f13(f12(a8)))),
% 7.99/8.10 inference(scs_inference,[],[130,135,49,1044,1039,939,863,794,987,116,96,114,97,25,19])).
% 7.99/8.10 cnf(1115,plain,
% 7.99/8.10 (~P7(f14(a8,a11),f6(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[130,135,49,59,1044,990,1039,939,863,794,987,197,116,96,114,97,25,19,14,20])).
% 7.99/8.10 cnf(1116,plain,
% 7.99/8.10 (E(f10(a1),f10(f9(x11161)))),
% 7.99/8.10 inference(scs_inference,[],[130,135,49,59,1044,990,1039,466,939,863,794,987,197,116,96,114,97,25,19,14,20,2])).
% 7.99/8.10 cnf(1119,plain,
% 7.99/8.10 (~E(f9(x11191),f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[130,135,49,59,57,1044,990,1039,466,939,863,794,987,197,496,759,811,116,96,114,97,25,19,14,20,2,3,31])).
% 7.99/8.10 cnf(1142,plain,
% 7.99/8.10 (P3(f6(f13(a1)),f13(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[1047,96])).
% 7.99/8.10 cnf(1144,plain,
% 7.99/8.10 (P7(f6(f14(a8,a11)),f14(a8,a11))),
% 7.99/8.10 inference(scs_inference,[],[59,1047,350,96,97])).
% 7.99/8.10 cnf(1145,plain,
% 7.99/8.10 (P3(f6(x11451),x11451)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(1149,plain,
% 7.99/8.10 (E(f14(x11491,f14(a8,a11)),f14(x11491,a11))),
% 7.99/8.10 inference(rename_variables,[],[195])).
% 7.99/8.10 cnf(1150,plain,
% 7.99/8.10 (P3(f10(f9(x11501)),f13(f10(a1)))),
% 7.99/8.10 inference(scs_inference,[],[62,54,59,1115,1047,1116,350,187,195,96,97,25,19,14])).
% 7.99/8.10 cnf(1153,plain,
% 7.99/8.10 (~E(f14(a8,a11),f14(a8,f7(a8,a4)))),
% 7.99/8.10 inference(scs_inference,[],[62,54,59,1119,1115,1047,1116,951,350,187,195,1149,96,97,25,19,14,2,3])).
% 7.99/8.10 cnf(1157,plain,
% 7.99/8.10 (P3(f6(f10(a1)),f10(f9(x11571)))),
% 7.99/8.10 inference(scs_inference,[],[62,54,59,1145,57,1119,1115,1047,1116,951,350,187,195,1149,96,97,25,19,14,2,3,31,15])).
% 7.99/8.10 cnf(1188,plain,
% 7.99/8.10 (~P7(a2,f13(a1))),
% 7.99/8.10 inference(scs_inference,[],[1142,1103,115,96])).
% 7.99/8.10 cnf(1190,plain,
% 7.99/8.10 (P7(f10(f9(x11901)),f13(f10(a1)))),
% 7.99/8.10 inference(scs_inference,[],[64,1142,1150,1103,115,96,97])).
% 7.99/8.10 cnf(1193,plain,
% 7.99/8.10 (P7(f10(a1),f13(f10(a1)))),
% 7.99/8.10 inference(scs_inference,[],[64,1142,1150,1103,466,115,96,97,19])).
% 7.99/8.10 cnf(1198,plain,
% 7.99/8.10 (~P7(f13(f12(a8)),f10(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[64,1142,1150,1103,198,466,191,819,1039,271,115,96,97,19,14,2,20])).
% 7.99/8.10 cnf(1238,plain,
% 7.99/8.10 (E(f7(f9(x12381),f14(a8,a11)),f7(a1,a11))),
% 7.99/8.10 inference(scs_inference,[],[945,1190,1198,655,457,192,114,97,2,3])).
% 7.99/8.10 cnf(1241,plain,
% 7.99/8.10 (~E(a1,f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[57,945,1190,1198,655,457,494,192,114,97,2,3,31])).
% 7.99/8.10 cnf(1284,plain,
% 7.99/8.10 (P3(f6(f14(a8,a11)),f12(a8))),
% 7.99/8.10 inference(scs_inference,[],[1144,217,117])).
% 7.99/8.10 cnf(1289,plain,
% 7.99/8.10 (E(f7(a1,a11),f7(f9(x12891),f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[1238,1193,1144,957,217,117,9,114,2])).
% 7.99/8.10 cnf(1290,plain,
% 7.99/8.10 (~E(a11,f14(a8,f7(a8,a4)))),
% 7.99/8.10 inference(scs_inference,[],[1153,1238,1193,1144,957,217,166,117,9,114,2,3])).
% 7.99/8.10 cnf(1294,plain,
% 7.99/8.10 (P12(a11,a8,f6(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[57,1153,1238,1193,1144,957,217,291,961,166,63,50,52,60,117,9,114,2,3,31,32,123])).
% 7.99/8.10 cnf(1298,plain,
% 7.99/8.10 (P12(a11,a8,f6(a11))),
% 7.99/8.10 inference(scs_inference,[],[57,1153,548,1238,1193,1144,957,197,217,291,961,166,63,50,52,60,117,9,114,2,3,31,32,123,85,37])).
% 7.99/8.10 cnf(1327,plain,
% 7.99/8.10 (~P7(f10(f14(a8,a11)),f6(f10(a11)))),
% 7.99/8.10 inference(scs_inference,[],[1042,191,19])).
% 7.99/8.10 cnf(1329,plain,
% 7.99/8.10 (E(f7(a1,a11),f7(a1,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[1112,1289,1042,457,191,19,2,3])).
% 7.99/8.10 cnf(1359,plain,
% 7.99/8.10 (P7(f6(a11),f14(a8,a11))),
% 7.99/8.10 inference(scs_inference,[],[1298,749,63,50,52,60,124])).
% 7.99/8.10 cnf(1361,plain,
% 7.99/8.10 (P3(f7(a1,f14(a8,a11)),f13(f7(a1,a11)))),
% 7.99/8.10 inference(scs_inference,[],[1329,1298,749,187,63,50,52,60,124,14])).
% 7.99/8.10 cnf(1363,plain,
% 7.99/8.10 (P3(f6(f7(a1,a11)),f7(a1,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[59,1329,1298,749,187,63,50,52,60,124,14,15])).
% 7.99/8.10 cnf(1365,plain,
% 7.99/8.10 (E(f6(a1),f6(f9(x13651)))),
% 7.99/8.10 inference(scs_inference,[],[59,1329,1298,459,749,187,63,50,52,60,124,14,15,2])).
% 7.99/8.10 cnf(1398,plain,
% 7.99/8.10 (~E(f6(f13(a1)),f10(f13(x13981)))),
% 7.99/8.10 inference(scs_inference,[],[61,1361,1241,1365,758,1056,395,994,115,14,15,2,3])).
% 7.99/8.10 cnf(1431,plain,
% 7.99/8.10 (E(f12(a1),f12(f9(x14311)))),
% 7.99/8.10 inference(scs_inference,[],[947,460,396,193,961,19,20,2])).
% 7.99/8.10 cnf(1432,plain,
% 7.99/8.10 (E(f6(f9(x14321)),f6(f9(x14322)))),
% 7.99/8.10 inference(scs_inference,[],[947,1365,460,459,396,193,961,19,20,2,3])).
% 7.99/8.10 cnf(1460,plain,
% 7.99/8.10 (P3(f6(f9(x14601)),f9(x14602))),
% 7.99/8.10 inference(scs_inference,[],[59,1432,14])).
% 7.99/8.10 cnf(1461,plain,
% 7.99/8.10 (P3(f6(x14611),x14611)),
% 7.99/8.10 inference(rename_variables,[],[59])).
% 7.99/8.10 cnf(1464,plain,
% 7.99/8.10 (~E(f10(f13(x14641)),f6(f13(a1)))),
% 7.99/8.10 inference(scs_inference,[],[59,1461,1432,1398,1431,14,15,2])).
% 7.99/8.10 cnf(1465,plain,
% 7.99/8.10 (E(f12(f9(x14651)),f12(f9(x14652)))),
% 7.99/8.10 inference(scs_inference,[],[59,1461,1432,1398,1431,460,14,15,2,3])).
% 7.99/8.10 cnf(1497,plain,
% 7.99/8.10 (P3(f10(f14(a8,a11)),f13(a11))),
% 7.99/8.10 inference(scs_inference,[],[1460,1188,459,653,194,395,20,14,15])).
% 7.99/8.10 cnf(1498,plain,
% 7.99/8.10 (E(f7(a1,a1),f7(f9(x14981),f9(x14982)))),
% 7.99/8.10 inference(scs_inference,[],[1460,1188,478,459,653,194,395,20,14,15,2])).
% 7.99/8.10 cnf(1503,plain,
% 7.99/8.10 (P11(f12(f9(x15031)),f12(f9(x15032)))),
% 7.99/8.10 inference(scs_inference,[],[57,1460,1465,1464,1188,478,530,459,653,194,395,994,20,14,15,2,3,34,96,31])).
% 7.99/8.10 cnf(1533,plain,
% 7.99/8.10 (P3(f10(f10(a2)),f13(f10(a2)))),
% 7.99/8.10 inference(scs_inference,[],[59,1503,1498,1290,478,219,189,460,63,50,52,31,2,3,124,78,80])).
% 7.99/8.10 cnf(1537,plain,
% 7.99/8.10 (P7(f10(f14(a8,a11)),f13(a11))),
% 7.99/8.10 inference(scs_inference,[],[64,59,1503,1498,1497,1290,478,219,189,460,63,50,52,31,2,3,124,78,80,115,97])).
% 7.99/8.10 cnf(1543,plain,
% 7.99/8.10 (P3(f14(a8,f7(a8,a4)),f13(f12(a8)))),
% 7.99/8.10 inference(scs_inference,[],[64,49,59,1503,1498,1363,1061,1497,1290,478,219,189,460,63,50,52,31,2,3,124,78,80,115,97,25,87,118])).
% 7.99/8.10 cnf(1573,plain,
% 7.99/8.10 (~P3(f13(f14(a8,a11)),f10(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[1533,1327,1537,354,655,817,837,385,194,195,107,111,109,98,114,97,19,20,14])).
% 7.99/8.10 cnf(1576,plain,
% 7.99/8.10 (E(a11,f14(a8,a11))),
% 7.99/8.10 inference(scs_inference,[],[166,1533,1327,1537,354,655,817,837,385,194,187,195,107,111,109,98,114,97,19,20,14,15,2])).
% 7.99/8.10 cnf(1586,plain,
% 7.99/8.10 (E(f7(x15861,a11),f7(x15861,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[166,1533,1543,1327,1537,354,655,817,604,642,837,385,194,187,195,107,111,109,98,114,97,19,20,14,15,2,3,67,112,6,12,11])).
% 7.99/8.10 cnf(1592,plain,
% 7.99/8.10 (E(f14(x15921,a11),f14(x15921,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[166,1157,1533,1543,1327,1537,354,655,817,604,642,837,385,194,187,195,107,111,109,98,114,97,19,20,14,15,2,3,67,112,6,12,11,4,95,101,8])).
% 7.99/8.10 cnf(1599,plain,
% 7.99/8.10 (P12(f14(a8,a11),a8,f6(f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[166,1157,1533,1543,1327,1537,354,1294,307,553,241,655,817,604,642,837,385,194,187,195,107,111,109,98,114,97,19,20,14,15,2,3,67,112,6,12,11,4,95,101,8,23,30,13,9,27,36,35])).
% 7.99/8.10 cnf(1600,plain,
% 7.99/8.10 (P11(f14(a8,a11),a11)),
% 7.99/8.10 inference(scs_inference,[],[166,57,1157,1533,1543,1327,1537,354,1294,307,553,241,655,817,604,642,837,385,194,187,195,107,111,109,98,114,97,19,20,14,15,2,3,67,112,6,12,11,4,95,101,8,23,30,13,9,27,36,35,32])).
% 7.99/8.10 cnf(1613,plain,
% 7.99/8.10 (P7(f7(a11,f14(a8,a11)),f13(f7(a11,a11)))),
% 7.99/8.10 inference(scs_inference,[],[1586,1600,1599,895,1284,197,217,63,50,52,124,96,98,37,19])).
% 7.99/8.10 cnf(1616,plain,
% 7.99/8.10 (P7(f6(a11),f14(a8,f14(a8,a11)))),
% 7.99/8.10 inference(scs_inference,[],[1586,1592,1600,1599,1359,895,1284,197,217,63,50,52,124,96,98,37,19,20])).
% 7.99/8.10 cnf(1657,plain,
% 7.99/8.10 ($false),
% 7.99/8.10 inference(scs_inference,[],[168,1573,1613,1616,1576,1537,191,55,187,96,117,114,19,20]),
% 7.99/8.10 ['proof']).
% 7.99/8.10 % SZS output end Proof
% 7.99/8.10 % Total time :7.470000s
%------------------------------------------------------------------------------