TSTP Solution File: SEU118+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 16:17:33 EDT 2023
% Result : Theorem 2.16s 2.20s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 12:55:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 2.05/2.18 %-------------------------------------------
% 2.05/2.18 % File :CSE---1.6
% 2.05/2.18 % Problem :theBenchmark
% 2.05/2.18 % Transform :cnf
% 2.05/2.18 % Format :tptp:raw
% 2.05/2.18 % Command :java -jar mcs_scs.jar %d %s
% 2.05/2.18
% 2.05/2.18 % Result :Theorem 1.530000s
% 2.05/2.18 % Output :CNFRefutation 1.530000s
% 2.05/2.18 %-------------------------------------------
% 2.05/2.19 %------------------------------------------------------------------------------
% 2.05/2.19 % File : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% 2.05/2.19 % Domain : Set theory
% 2.05/2.19 % Problem : Boolean domains, theorem 34
% 2.05/2.19 % Version : [Urb06] axioms : Especial.
% 2.05/2.19 % English :
% 2.05/2.19
% 2.05/2.19 % Refs : [TD90] Trybulec & Darmochwal (1990), Boolean Domains
% 2.05/2.19 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 2.05/2.19 % Source : [Urb06]
% 2.05/2.19 % Names : finsub_1__t34_finsub_1 [Urb06]
% 2.05/2.19
% 2.05/2.19 % Status : Theorem
% 2.05/2.19 % Rating : 0.14 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.14 v5.3.0, 0.22 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.07 v3.2.0
% 2.05/2.19 % Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% 2.05/2.19 % Number of atoms : 91 ( 3 equ)
% 2.05/2.19 % Maximal formula atoms : 10 ( 2 avg)
% 2.05/2.19 % Number of connectives : 75 ( 17 ~; 1 |; 36 &)
% 2.05/2.19 % ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% 2.05/2.19 % Maximal formula depth : 12 ( 5 avg)
% 2.05/2.19 % Maximal term depth : 2 ( 1 avg)
% 2.05/2.19 % Number of predicates : 17 ( 16 usr; 0 prp; 1-2 aty)
% 2.05/2.19 % Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% 2.05/2.19 % Number of variables : 55 ( 45 !; 10 ?)
% 2.05/2.19 % SPC : FOF_THM_RFO_SEQ
% 2.05/2.19
% 2.05/2.19 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 2.05/2.19 % library, www.mizar.org
% 2.05/2.19 %------------------------------------------------------------------------------
% 2.05/2.19 fof(antisymmetry_r2_hidden,axiom,
% 2.05/2.19 ! [A,B] :
% 2.05/2.19 ( in(A,B)
% 2.05/2.19 => ~ in(B,A) ) ).
% 2.05/2.19
% 2.05/2.19 fof(cc1_finset_1,axiom,
% 2.05/2.19 ! [A] :
% 2.05/2.19 ( empty(A)
% 2.05/2.19 => finite(A) ) ).
% 2.05/2.19
% 2.05/2.19 fof(cc1_finsub_1,axiom,
% 2.05/2.19 ! [A] :
% 2.05/2.19 ( preboolean(A)
% 2.05/2.19 => ( cup_closed(A)
% 2.05/2.19 & diff_closed(A) ) ) ).
% 2.05/2.19
% 2.05/2.19 fof(cc2_finset_1,axiom,
% 2.05/2.19 ! [A] :
% 2.05/2.19 ( finite(A)
% 2.05/2.19 => ! [B] :
% 2.05/2.19 ( element(B,powerset(A))
% 2.05/2.19 => finite(B) ) ) ).
% 2.05/2.19
% 2.05/2.19 fof(cc2_finsub_1,axiom,
% 2.05/2.19 ! [A] :
% 2.05/2.19 ( ( cup_closed(A)
% 2.05/2.19 & diff_closed(A) )
% 2.05/2.19 => preboolean(A) ) ).
% 2.16/2.19
% 2.16/2.19 fof(cc3_finsub_1,axiom,
% 2.16/2.19 ! [A,B] :
% 2.16/2.19 ( element(B,finite_subsets(A))
% 2.16/2.19 => finite(B) ) ).
% 2.16/2.19
% 2.16/2.19 fof(d5_finsub_1,axiom,
% 2.16/2.19 ! [A,B] :
% 2.16/2.19 ( preboolean(B)
% 2.16/2.19 => ( B = finite_subsets(A)
% 2.16/2.19 <=> ! [C] :
% 2.16/2.19 ( in(C,B)
% 2.16/2.19 <=> ( subset(C,A)
% 2.16/2.19 & finite(C) ) ) ) ) ).
% 2.16/2.19
% 2.16/2.19 fof(dt_k5_finsub_1,axiom,
% 2.16/2.19 ! [A] : preboolean(finite_subsets(A)) ).
% 2.16/2.19
% 2.16/2.19 fof(existence_m1_subset_1,axiom,
% 2.16/2.19 ! [A] :
% 2.16/2.19 ? [B] : element(B,A) ).
% 2.16/2.19
% 2.16/2.19 fof(fc1_finsub_1,axiom,
% 2.16/2.19 ! [A] :
% 2.16/2.19 ( ~ empty(powerset(A))
% 2.16/2.19 & cup_closed(powerset(A))
% 2.16/2.19 & diff_closed(powerset(A))
% 2.16/2.19 & preboolean(powerset(A)) ) ).
% 2.16/2.19
% 2.16/2.19 fof(fc1_subset_1,axiom,
% 2.16/2.19 ! [A] : ~ empty(powerset(A)) ).
% 2.16/2.19
% 2.16/2.19 fof(fc1_xboole_0,axiom,
% 2.16/2.19 empty(empty_set) ).
% 2.16/2.19
% 2.16/2.19 fof(fc2_finsub_1,axiom,
% 2.16/2.19 ! [A] :
% 2.16/2.19 ( ~ empty(finite_subsets(A))
% 2.16/2.19 & cup_closed(finite_subsets(A))
% 2.16/2.19 & diff_closed(finite_subsets(A))
% 2.16/2.19 & preboolean(finite_subsets(A)) ) ).
% 2.16/2.19
% 2.16/2.19 fof(rc1_finset_1,axiom,
% 2.16/2.19 ? [A] :
% 2.16/2.19 ( ~ empty(A)
% 2.16/2.19 & finite(A) ) ).
% 2.16/2.19
% 2.16/2.19 fof(rc1_finsub_1,axiom,
% 2.16/2.19 ? [A] :
% 2.16/2.19 ( ~ empty(A)
% 2.16/2.19 & cup_closed(A)
% 2.16/2.19 & cap_closed(A)
% 2.16/2.19 & diff_closed(A)
% 2.16/2.19 & preboolean(A) ) ).
% 2.16/2.19
% 2.16/2.19 fof(rc1_subset_1,axiom,
% 2.16/2.19 ! [A] :
% 2.16/2.19 ( ~ empty(A)
% 2.16/2.19 => ? [B] :
% 2.16/2.19 ( element(B,powerset(A))
% 2.16/2.19 & ~ empty(B) ) ) ).
% 2.16/2.19
% 2.16/2.19 fof(rc1_xboole_0,axiom,
% 2.16/2.19 ? [A] : empty(A) ).
% 2.16/2.19
% 2.16/2.19 fof(rc2_finset_1,axiom,
% 2.16/2.19 ! [A] :
% 2.16/2.19 ? [B] :
% 2.16/2.19 ( element(B,powerset(A))
% 2.16/2.19 & empty(B)
% 2.16/2.19 & relation(B)
% 2.16/2.19 & function(B)
% 2.16/2.19 & one_to_one(B)
% 2.16/2.19 & epsilon_transitive(B)
% 2.16/2.19 & epsilon_connected(B)
% 2.16/2.19 & ordinal(B)
% 2.16/2.19 & natural(B)
% 2.16/2.19 & finite(B) ) ).
% 2.16/2.19
% 2.16/2.19 fof(rc2_subset_1,axiom,
% 2.16/2.20 ! [A] :
% 2.16/2.20 ? [B] :
% 2.16/2.20 ( element(B,powerset(A))
% 2.16/2.20 & empty(B) ) ).
% 2.16/2.20
% 2.16/2.20 fof(rc2_xboole_0,axiom,
% 2.16/2.20 ? [A] : ~ empty(A) ).
% 2.16/2.20
% 2.16/2.20 fof(rc3_finset_1,axiom,
% 2.16/2.20 ! [A] :
% 2.16/2.20 ( ~ empty(A)
% 2.16/2.20 => ? [B] :
% 2.16/2.20 ( element(B,powerset(A))
% 2.16/2.20 & ~ empty(B)
% 2.16/2.20 & finite(B) ) ) ).
% 2.16/2.20
% 2.16/2.20 fof(rc4_finset_1,axiom,
% 2.16/2.20 ! [A] :
% 2.16/2.20 ( ~ empty(A)
% 2.16/2.20 => ? [B] :
% 2.16/2.20 ( element(B,powerset(A))
% 2.16/2.20 & ~ empty(B)
% 2.16/2.20 & finite(B) ) ) ).
% 2.16/2.20
% 2.16/2.20 fof(reflexivity_r1_tarski,axiom,
% 2.16/2.20 ! [A,B] : subset(A,A) ).
% 2.16/2.20
% 2.16/2.20 fof(t13_finset_1,axiom,
% 2.16/2.20 ! [A,B] :
% 2.16/2.20 ( ( subset(A,B)
% 2.16/2.20 & finite(B) )
% 2.16/2.20 => finite(A) ) ).
% 2.16/2.20
% 2.16/2.20 fof(t1_subset,axiom,
% 2.16/2.20 ! [A,B] :
% 2.16/2.20 ( in(A,B)
% 2.16/2.20 => element(A,B) ) ).
% 2.16/2.20
% 2.16/2.20 fof(t2_subset,axiom,
% 2.16/2.20 ! [A,B] :
% 2.16/2.20 ( element(A,B)
% 2.16/2.20 => ( empty(B)
% 2.16/2.20 | in(A,B) ) ) ).
% 2.16/2.20
% 2.16/2.20 fof(t34_finsub_1,conjecture,
% 2.16/2.20 ! [A,B] :
% 2.16/2.20 ( element(B,powerset(A))
% 2.16/2.20 => ( finite(A)
% 2.16/2.20 => element(B,finite_subsets(A)) ) ) ).
% 2.16/2.20
% 2.16/2.20 fof(t3_subset,axiom,
% 2.16/2.20 ! [A,B] :
% 2.16/2.20 ( element(A,powerset(B))
% 2.16/2.20 <=> subset(A,B) ) ).
% 2.16/2.20
% 2.16/2.20 fof(t4_subset,axiom,
% 2.16/2.20 ! [A,B,C] :
% 2.16/2.20 ( ( in(A,B)
% 2.16/2.20 & element(B,powerset(C)) )
% 2.16/2.20 => element(A,C) ) ).
% 2.16/2.20
% 2.16/2.20 fof(t5_subset,axiom,
% 2.16/2.20 ! [A,B,C] :
% 2.16/2.20 ~ ( in(A,B)
% 2.16/2.20 & element(B,powerset(C))
% 2.16/2.20 & empty(C) ) ).
% 2.16/2.20
% 2.16/2.20 fof(t6_boole,axiom,
% 2.16/2.20 ! [A] :
% 2.16/2.20 ( empty(A)
% 2.16/2.20 => A = empty_set ) ).
% 2.16/2.20
% 2.16/2.20 fof(t7_boole,axiom,
% 2.16/2.20 ! [A,B] :
% 2.16/2.20 ~ ( in(A,B)
% 2.16/2.20 & empty(B) ) ).
% 2.16/2.20
% 2.16/2.20 fof(t8_boole,axiom,
% 2.16/2.20 ! [A,B] :
% 2.16/2.20 ~ ( empty(A)
% 2.16/2.20 & A != B
% 2.16/2.20 & empty(B) ) ).
% 2.16/2.20
% 2.16/2.20 %------------------------------------------------------------------------------
% 2.16/2.20 %-------------------------------------------
% 2.16/2.20 % Proof found
% 2.16/2.20 % SZS status Theorem for theBenchmark
% 2.16/2.20 % SZS output start Proof
% 2.16/2.20 %ClaNum:100(EqnAxiom:32)
% 2.16/2.20 %VarNum:155(SingletonVarNum:76)
% 2.16/2.20 %MaxLitNum:5
% 2.16/2.20 %MaxfuncDepth:1
% 2.16/2.20 %SharedTerms:22
% 2.16/2.20 %goalClause: 36 59 69
% 2.16/2.20 %singleGoalClaCount:3
% 2.16/2.20 [33]P1(a1)
% 2.16/2.20 [34]P1(a2)
% 2.16/2.20 [35]P6(a3)
% 2.16/2.20 [36]P6(a4)
% 2.16/2.20 [37]P9(a10)
% 2.16/2.20 [38]P2(a10)
% 2.16/2.20 [39]P4(a10)
% 2.16/2.20 [40]P3(a10)
% 2.16/2.20 [63]~P1(a3)
% 2.16/2.20 [64]~P1(a10)
% 2.16/2.20 [65]~P1(a16)
% 2.16/2.20 [59]P5(a7,f14(a4))
% 2.16/2.20 [69]~P5(a7,f15(a4))
% 2.16/2.20 [58]P16(x581,x581)
% 2.16/2.20 [41]P1(f12(x411))
% 2.16/2.20 [42]P1(f13(x421))
% 2.16/2.20 [43]P6(f12(x431))
% 2.16/2.20 [44]P9(f14(x441))
% 2.16/2.20 [46]P9(f15(x461))
% 2.16/2.20 [47]P2(f14(x471))
% 2.16/2.20 [48]P2(f15(x481))
% 2.16/2.20 [49]P4(f14(x491))
% 2.16/2.20 [50]P4(f15(x501))
% 2.16/2.20 [51]P15(f12(x511))
% 2.16/2.20 [52]P10(f12(x521))
% 2.16/2.20 [53]P11(f12(x531))
% 2.16/2.20 [54]P7(f12(x541))
% 2.16/2.20 [55]P8(f12(x551))
% 2.16/2.20 [56]P14(f12(x561))
% 2.16/2.20 [57]P12(f12(x571))
% 2.16/2.20 [60]P5(f8(x601),x601)
% 2.16/2.20 [61]P5(f12(x611),f14(x611))
% 2.16/2.20 [62]P5(f13(x621),f14(x621))
% 2.16/2.20 [67]~P1(f14(x671))
% 2.16/2.20 [68]~P1(f15(x681))
% 2.16/2.20 [70]~P1(x701)+E(x701,a1)
% 2.16/2.20 [71]~P1(x711)+P6(x711)
% 2.16/2.20 [72]~P9(x721)+P2(x721)
% 2.16/2.20 [73]~P9(x731)+P4(x731)
% 2.16/2.20 [74]P1(x741)+P6(f5(x741))
% 2.16/2.20 [75]P1(x751)+P6(f6(x751))
% 2.16/2.20 [78]P1(x781)+~P1(f11(x781))
% 2.16/2.20 [79]P1(x791)+~P1(f5(x791))
% 2.16/2.20 [80]P1(x801)+~P1(f6(x801))
% 2.16/2.20 [82]P1(x821)+P5(f11(x821),f14(x821))
% 2.16/2.20 [83]P1(x831)+P5(f5(x831),f14(x831))
% 2.16/2.20 [84]P1(x841)+P5(f6(x841),f14(x841))
% 2.16/2.20 [81]~P1(x811)+~P13(x812,x811)
% 2.16/2.20 [87]~P13(x871,x872)+P5(x871,x872)
% 2.16/2.20 [92]~P13(x922,x921)+~P13(x921,x922)
% 2.16/2.20 [86]P6(x861)+~P5(x861,f15(x862))
% 2.16/2.20 [90]~P16(x901,x902)+P5(x901,f14(x902))
% 2.16/2.20 [93]P16(x931,x932)+~P5(x931,f14(x932))
% 2.16/2.20 [77]~P2(x771)+~P4(x771)+P9(x771)
% 2.16/2.20 [76]~P1(x762)+~P1(x761)+E(x761,x762)
% 2.16/2.20 [85]~P16(x851,x852)+P6(x851)+~P6(x852)
% 2.16/2.20 [88]~P5(x882,x881)+P1(x881)+P13(x882,x881)
% 2.16/2.20 [91]P6(x911)+~P6(x912)+~P5(x911,f14(x912))
% 2.16/2.20 [96]~P1(x961)+~P13(x962,x963)+~P5(x963,f14(x961))
% 2.16/2.20 [97]P5(x971,x972)+~P13(x971,x973)+~P5(x973,f14(x972))
% 2.16/2.20 [98]~P9(x981)+P13(f9(x982,x981),x981)+E(x981,f15(x982))+P6(f9(x982,x981))
% 2.16/2.20 [99]~P9(x991)+P13(f9(x992,x991),x991)+P16(f9(x992,x991),x992)+E(x991,f15(x992))
% 2.16/2.20 [89]~P9(x892)+~P13(x891,x892)+P6(x891)+~E(x892,f15(x893))
% 2.16/2.20 [94]~P9(x943)+~P13(x941,x943)+P16(x941,x942)+~E(x943,f15(x942))
% 2.16/2.20 [100]~P9(x1001)+~P13(f9(x1002,x1001),x1001)+~P16(f9(x1002,x1001),x1002)+E(x1001,f15(x1002))+~P6(f9(x1002,x1001))
% 2.16/2.20 [95]~P6(x951)+~P9(x952)+~P16(x951,x953)+P13(x951,x952)+~E(x952,f15(x953))
% 2.16/2.20 %EqnAxiom
% 2.16/2.20 [1]E(x11,x11)
% 2.16/2.20 [2]E(x22,x21)+~E(x21,x22)
% 2.16/2.20 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.16/2.20 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 2.16/2.20 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 2.16/2.20 [6]~E(x61,x62)+E(f9(x61,x63),f9(x62,x63))
% 2.16/2.20 [7]~E(x71,x72)+E(f9(x73,x71),f9(x73,x72))
% 2.16/2.20 [8]~E(x81,x82)+E(f14(x81),f14(x82))
% 2.16/2.20 [9]~E(x91,x92)+E(f15(x91),f15(x92))
% 2.16/2.20 [10]~E(x101,x102)+E(f5(x101),f5(x102))
% 2.16/2.20 [11]~E(x111,x112)+E(f6(x111),f6(x112))
% 2.16/2.20 [12]~E(x121,x122)+E(f11(x121),f11(x122))
% 2.16/2.20 [13]~E(x131,x132)+E(f8(x131),f8(x132))
% 2.16/2.20 [14]~P1(x141)+P1(x142)+~E(x141,x142)
% 2.16/2.20 [15]P16(x152,x153)+~E(x151,x152)+~P16(x151,x153)
% 2.16/2.20 [16]P16(x163,x162)+~E(x161,x162)+~P16(x163,x161)
% 2.16/2.20 [17]~P6(x171)+P6(x172)+~E(x171,x172)
% 2.16/2.20 [18]P5(x182,x183)+~E(x181,x182)+~P5(x181,x183)
% 2.16/2.20 [19]P5(x193,x192)+~E(x191,x192)+~P5(x193,x191)
% 2.16/2.20 [20]~P9(x201)+P9(x202)+~E(x201,x202)
% 2.16/2.20 [21]~P2(x211)+P2(x212)+~E(x211,x212)
% 2.16/2.20 [22]~P4(x221)+P4(x222)+~E(x221,x222)
% 2.16/2.20 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 2.16/2.20 [24]P13(x242,x243)+~E(x241,x242)+~P13(x241,x243)
% 2.16/2.20 [25]P13(x253,x252)+~E(x251,x252)+~P13(x253,x251)
% 2.16/2.20 [26]~P12(x261)+P12(x262)+~E(x261,x262)
% 2.16/2.20 [27]~P14(x271)+P14(x272)+~E(x271,x272)
% 2.16/2.20 [28]~P8(x281)+P8(x282)+~E(x281,x282)
% 2.16/2.20 [29]~P7(x291)+P7(x292)+~E(x291,x292)
% 2.16/2.20 [30]~P11(x301)+P11(x302)+~E(x301,x302)
% 2.16/2.20 [31]~P10(x311)+P10(x312)+~E(x311,x312)
% 2.16/2.20 [32]~P15(x321)+P15(x322)+~E(x321,x322)
% 2.16/2.20
% 2.16/2.20 %-------------------------------------------
% 2.16/2.20 cnf(101,plain,
% 2.16/2.20 (~P13(a7,f15(a4))),
% 2.16/2.20 inference(scs_inference,[],[69,87])).
% 2.16/2.20 cnf(102,plain,
% 2.16/2.20 (~P13(x1021,a1)),
% 2.16/2.20 inference(scs_inference,[],[33,69,87,81])).
% 2.16/2.20 cnf(103,plain,
% 2.16/2.20 (P6(f8(f15(x1031)))),
% 2.16/2.20 inference(scs_inference,[],[33,69,60,87,81,86])).
% 2.16/2.20 cnf(104,plain,
% 2.16/2.20 (P5(f8(x1041),x1041)),
% 2.16/2.20 inference(rename_variables,[],[60])).
% 2.16/2.20 cnf(106,plain,
% 2.16/2.20 (P16(a7,a4)),
% 2.16/2.20 inference(scs_inference,[],[33,59,69,60,87,81,86,93])).
% 2.16/2.20 cnf(109,plain,
% 2.16/2.20 (~E(f8(f15(a4)),a7)),
% 2.16/2.20 inference(scs_inference,[],[33,59,69,60,104,87,81,86,93,19,18])).
% 2.16/2.20 cnf(110,plain,
% 2.16/2.20 (P5(f8(x1101),x1101)),
% 2.16/2.20 inference(rename_variables,[],[60])).
% 2.16/2.20 cnf(111,plain,
% 2.16/2.20 (P13(f8(a3),a3)),
% 2.16/2.20 inference(scs_inference,[],[33,63,59,69,60,104,110,87,81,86,93,19,18,88])).
% 2.16/2.20 cnf(112,plain,
% 2.16/2.20 (P5(f8(x1121),x1121)),
% 2.16/2.20 inference(rename_variables,[],[60])).
% 2.16/2.20 cnf(114,plain,
% 2.16/2.20 (~P13(a7,f12(f15(a4)))),
% 2.16/2.20 inference(scs_inference,[],[33,63,59,69,60,104,110,61,87,81,86,93,19,18,88,97])).
% 2.16/2.20 cnf(117,plain,
% 2.16/2.20 (~P13(x1171,f8(f14(a1)))),
% 2.16/2.20 inference(scs_inference,[],[33,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96])).
% 2.16/2.20 cnf(120,plain,
% 2.16/2.20 (P6(a7)),
% 2.16/2.20 inference(scs_inference,[],[36,33,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91])).
% 2.16/2.20 cnf(125,plain,
% 2.16/2.20 (P6(a1)),
% 2.16/2.20 inference(scs_inference,[],[36,33,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71])).
% 2.16/2.20 cnf(127,plain,
% 2.16/2.20 (E(a2,a1)),
% 2.16/2.20 inference(scs_inference,[],[36,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70])).
% 2.16/2.20 cnf(129,plain,
% 2.16/2.20 (P5(x1291,f14(x1291))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90])).
% 2.16/2.20 cnf(131,plain,
% 2.16/2.20 (~P1(f6(a3))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80])).
% 2.16/2.20 cnf(133,plain,
% 2.16/2.20 (~P1(f5(a3))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79])).
% 2.16/2.20 cnf(141,plain,
% 2.16/2.20 (E(f8(a2),f8(a1))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13])).
% 2.16/2.20 cnf(142,plain,
% 2.16/2.20 (E(f11(a2),f11(a1))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12])).
% 2.16/2.20 cnf(143,plain,
% 2.16/2.20 (E(f6(a2),f6(a1))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12,11])).
% 2.16/2.20 cnf(144,plain,
% 2.16/2.20 (E(f5(a2),f5(a1))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12,11,10])).
% 2.16/2.20 cnf(145,plain,
% 2.16/2.20 (E(f15(a2),f15(a1))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12,11,10,9])).
% 2.16/2.20 cnf(146,plain,
% 2.16/2.20 (E(f14(a2),f14(a1))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12,11,10,9,8])).
% 2.16/2.20 cnf(147,plain,
% 2.16/2.20 (E(f9(x1471,a2),f9(x1471,a1))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12,11,10,9,8,7])).
% 2.16/2.20 cnf(148,plain,
% 2.16/2.20 (E(f9(a2,x1481),f9(a1,x1481))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12,11,10,9,8,7,6])).
% 2.16/2.20 cnf(149,plain,
% 2.16/2.20 (E(f13(a2),f13(a1))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12,11,10,9,8,7,6,5])).
% 2.16/2.20 cnf(150,plain,
% 2.16/2.20 (E(f12(a2),f12(a1))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12,11,10,9,8,7,6,5,4])).
% 2.16/2.20 cnf(151,plain,
% 2.16/2.20 (P5(f6(a3),f14(a3))),
% 2.16/2.20 inference(scs_inference,[],[36,58,33,34,63,59,69,60,104,110,112,61,87,81,86,93,19,18,88,97,96,91,2,92,71,70,90,80,79,78,75,74,13,12,11,10,9,8,7,6,5,4,84])).
% 2.16/2.20 cnf(171,plain,
% 2.16/2.20 (E(f9(x1711,a1),f9(x1711,a2))),
% 2.16/2.21 inference(scs_inference,[],[147,2])).
% 2.16/2.21 cnf(173,plain,
% 2.16/2.21 (E(f9(a2,a2),f9(a1,a1))),
% 2.16/2.21 inference(scs_inference,[],[64,41,147,148,2,14,3])).
% 2.16/2.21 cnf(174,plain,
% 2.16/2.21 (E(f9(x1741,a2),f9(x1741,a1))),
% 2.16/2.21 inference(rename_variables,[],[147])).
% 2.16/2.21 cnf(176,plain,
% 2.16/2.21 (P1(f8(f14(a1)))),
% 2.16/2.21 inference(scs_inference,[],[64,41,60,117,147,148,2,14,3,88])).
% 2.16/2.21 cnf(181,plain,
% 2.16/2.21 (P5(f13(x1811),f14(x1811))),
% 2.16/2.21 inference(rename_variables,[],[62])).
% 2.16/2.21 cnf(183,plain,
% 2.16/2.21 (~P5(a3,f14(f12(x1831)))),
% 2.16/2.21 inference(scs_inference,[],[64,41,62,60,69,117,147,148,111,2,14,3,88,97,96])).
% 2.16/2.21 cnf(185,plain,
% 2.16/2.21 (~P13(x1851,a2)),
% 2.16/2.21 inference(scs_inference,[],[64,41,62,60,69,117,147,148,102,111,127,2,14,3,88,97,96,25])).
% 2.16/2.21 cnf(186,plain,
% 2.16/2.21 (~E(f13(f12(x1861)),a3)),
% 2.16/2.21 inference(scs_inference,[],[64,41,62,181,60,69,117,147,148,102,111,127,2,14,3,88,97,96,25,18])).
% 2.16/2.21 cnf(188,plain,
% 2.16/2.21 (P16(f9(x1881,a2),f9(x1881,a1))),
% 2.16/2.21 inference(scs_inference,[],[64,41,62,181,60,58,69,117,147,174,148,102,111,127,2,14,3,88,97,96,25,18,16])).
% 2.16/2.21 cnf(189,plain,
% 2.16/2.21 (P16(x1891,x1891)),
% 2.16/2.21 inference(rename_variables,[],[58])).
% 2.16/2.21 cnf(190,plain,
% 2.16/2.21 (P16(f9(x1901,a1),f9(x1901,a2))),
% 2.16/2.21 inference(scs_inference,[],[64,41,62,181,60,58,189,69,117,147,174,148,102,111,127,2,14,3,88,97,96,25,18,16,15])).
% 2.16/2.21 cnf(193,plain,
% 2.16/2.21 (~P16(a3,f12(x1931))),
% 2.16/2.21 inference(scs_inference,[],[64,41,62,181,60,58,189,69,117,147,174,148,101,102,111,127,2,14,3,88,97,96,25,18,16,15,24,90])).
% 2.16/2.21 cnf(211,plain,
% 2.16/2.21 (P5(f9(x2111,a2),f14(f9(x2111,a1)))),
% 2.16/2.21 inference(scs_inference,[],[188,90])).
% 2.16/2.21 cnf(213,plain,
% 2.16/2.21 (P13(a7,f14(a4))),
% 2.16/2.21 inference(scs_inference,[],[59,67,188,90,88])).
% 2.16/2.21 cnf(217,plain,
% 2.16/2.21 (E(f9(a2,a1),f9(a1,a2))),
% 2.16/2.21 inference(scs_inference,[],[59,67,171,188,109,148,90,88,2,3])).
% 2.16/2.21 cnf(220,plain,
% 2.16/2.21 (~E(f14(a3),f14(f12(x2201)))),
% 2.16/2.21 inference(scs_inference,[],[59,67,129,171,188,109,183,148,90,88,2,3,19])).
% 2.16/2.21 cnf(225,plain,
% 2.16/2.21 (P16(x2251,x2251)),
% 2.16/2.21 inference(rename_variables,[],[58])).
% 2.16/2.21 cnf(232,plain,
% 2.16/2.21 (~E(f15(a4),f15(a7))),
% 2.16/2.21 inference(scs_inference,[],[59,40,67,101,46,60,58,225,129,171,188,109,141,183,185,193,120,148,111,90,88,2,3,19,25,15,18,23,92,8,95])).
% 2.16/2.21 cnf(262,plain,
% 2.16/2.21 (P6(f13(x2621))),
% 2.16/2.21 inference(scs_inference,[],[42,71])).
% 2.16/2.21 cnf(264,plain,
% 2.16/2.21 (P13(a1,f15(a2))),
% 2.16/2.21 inference(scs_inference,[],[42,46,58,145,125,71,95])).
% 2.16/2.21 cnf(265,plain,
% 2.16/2.21 (P16(x2651,x2651)),
% 2.16/2.21 inference(rename_variables,[],[58])).
% 2.16/2.21 cnf(271,plain,
% 2.16/2.21 (E(f9(a1,a2),f9(a2,a1))),
% 2.16/2.21 inference(scs_inference,[],[65,42,61,46,58,217,145,146,125,71,95,14,19,2])).
% 2.16/2.21 cnf(273,plain,
% 2.16/2.21 (P16(f9(a1,a2),f9(a2,a1))),
% 2.16/2.21 inference(scs_inference,[],[65,42,61,46,58,265,217,114,213,145,146,125,71,95,14,19,2,25,15])).
% 2.16/2.21 cnf(274,plain,
% 2.16/2.21 (P16(x2741,x2741)),
% 2.16/2.21 inference(rename_variables,[],[58])).
% 2.16/2.21 cnf(275,plain,
% 2.16/2.21 (P16(f9(a2,a1),f9(a1,a2))),
% 2.16/2.21 inference(scs_inference,[],[65,42,61,46,58,265,274,217,114,213,145,146,125,71,95,14,19,2,25,15,16])).
% 2.16/2.21 cnf(277,plain,
% 2.16/2.21 (P5(f9(a1,a1),f14(f9(a2,a1)))),
% 2.16/2.21 inference(scs_inference,[],[65,42,61,46,58,265,274,211,217,114,213,145,146,173,125,71,95,14,19,2,25,15,16,18])).
% 2.16/2.21 cnf(282,plain,
% 2.16/2.21 (P13(f8(a16),a16)),
% 2.16/2.21 inference(scs_inference,[],[65,39,42,61,46,60,58,265,274,211,217,114,213,145,146,173,125,71,95,14,19,2,25,15,16,18,22,87,88])).
% 2.16/2.21 cnf(301,plain,
% 2.16/2.21 (~P13(a3,f14(f12(x3011)))),
% 2.16/2.21 inference(scs_inference,[],[183,87])).
% 2.16/2.21 cnf(303,plain,
% 2.16/2.21 (P16(f13(x3031),x3031)),
% 2.16/2.21 inference(scs_inference,[],[62,183,87,93])).
% 2.16/2.21 cnf(307,plain,
% 2.16/2.21 (P13(f13(x3071),f14(x3071))),
% 2.16/2.21 inference(scs_inference,[],[67,62,282,183,87,93,92,88])).
% 2.16/2.21 cnf(315,plain,
% 2.16/2.21 (P16(f9(a2,a2),f9(a1,a2))),
% 2.16/2.21 inference(scs_inference,[],[64,67,62,34,60,271,275,220,282,171,183,127,87,93,92,88,2,14,19,3,15])).
% 2.16/2.21 cnf(316,plain,
% 2.16/2.21 (E(f9(x3161,a1),f9(x3161,a2))),
% 2.16/2.21 inference(rename_variables,[],[171])).
% 2.16/2.21 cnf(317,plain,
% 2.16/2.21 (P13(f13(a2),f14(a1))),
% 2.16/2.21 inference(scs_inference,[],[64,67,62,34,60,271,275,220,282,171,146,183,127,87,93,92,88,2,14,19,3,15,25])).
% 2.16/2.21 cnf(318,plain,
% 2.16/2.21 (P16(f9(a1,a2),f9(a2,a2))),
% 2.16/2.21 inference(scs_inference,[],[64,67,62,34,60,271,273,275,220,282,171,316,146,183,127,87,93,92,88,2,14,19,3,15,25,16])).
% 2.16/2.21 cnf(321,plain,
% 2.16/2.21 (~P1(f6(f15(x3211)))),
% 2.16/2.21 inference(scs_inference,[],[68,38,64,67,62,34,60,271,273,275,220,282,171,316,146,183,127,87,93,92,88,2,14,19,3,15,25,16,21,80])).
% 2.16/2.21 cnf(337,plain,
% 2.16/2.21 (E(f12(x3371),a1)),
% 2.16/2.21 inference(scs_inference,[],[68,38,64,67,62,34,41,60,271,273,275,220,282,171,316,146,183,127,87,93,92,88,2,14,19,3,15,25,16,21,80,83,79,78,75,74,84,82,70])).
% 2.16/2.21 cnf(341,plain,
% 2.16/2.21 (E(f9(x3411,f12(x3412)),f9(x3411,a1))),
% 2.16/2.21 inference(scs_inference,[],[68,38,64,67,62,34,41,60,271,273,275,220,282,171,316,146,183,127,87,93,92,88,2,14,19,3,15,25,16,21,80,83,79,78,75,74,84,82,70,12,10,7])).
% 2.16/2.21 cnf(342,plain,
% 2.16/2.21 (E(f13(f12(x3421)),f13(a1))),
% 2.16/2.21 inference(scs_inference,[],[68,38,64,67,62,34,41,60,271,273,275,220,282,171,316,146,183,127,87,93,92,88,2,14,19,3,15,25,16,21,80,83,79,78,75,74,84,82,70,12,10,7,5])).
% 2.16/2.21 cnf(344,plain,
% 2.16/2.21 (P5(x3441,f14(x3441))),
% 2.16/2.21 inference(rename_variables,[],[129])).
% 2.16/2.21 cnf(346,plain,
% 2.16/2.21 (E(f14(f12(x3461)),f14(a1))),
% 2.16/2.21 inference(scs_inference,[],[68,38,64,67,62,34,41,60,271,273,275,220,282,129,171,316,146,183,127,87,93,92,88,2,14,19,3,15,25,16,21,80,83,79,78,75,74,84,82,70,12,10,7,5,97,8])).
% 2.16/2.21 cnf(347,plain,
% 2.16/2.21 (E(f15(f12(x3471)),f15(a1))),
% 2.16/2.21 inference(scs_inference,[],[68,38,64,67,62,34,41,60,271,273,275,220,282,129,171,316,146,183,127,87,93,92,88,2,14,19,3,15,25,16,21,80,83,79,78,75,74,84,82,70,12,10,7,5,97,8,9])).
% 2.16/2.21 cnf(353,plain,
% 2.16/2.21 (~P13(x3531,f15(f12(x3532)))+P16(x3531,a1)),
% 2.16/2.21 inference(scs_inference,[],[68,38,64,67,62,34,41,46,60,271,273,275,220,282,129,344,171,316,146,183,127,87,93,92,88,2,14,19,3,15,25,16,21,80,83,79,78,75,74,84,82,70,12,10,7,5,97,8,9,18,81,23,94])).
% 2.16/2.21 cnf(354,plain,
% 2.16/2.21 (P9(f15(x3541))),
% 2.16/2.21 inference(rename_variables,[],[46])).
% 2.16/2.21 cnf(360,plain,
% 2.16/2.21 (P9(f15(x3601))),
% 2.16/2.21 inference(rename_variables,[],[46])).
% 2.16/2.21 cnf(362,plain,
% 2.16/2.21 (P13(f12(x3621),f15(a2))+~P13(f12(x3621),f15(f12(x3622)))),
% 2.16/2.21 inference(scs_inference,[],[68,38,43,102,64,67,62,34,41,46,354,360,60,271,273,275,220,282,129,344,171,316,146,183,145,127,87,93,92,88,2,14,19,3,15,25,16,21,80,83,79,78,75,74,84,82,70,12,10,7,5,97,8,9,18,81,23,94,99,89,95])).
% 2.16/2.21 cnf(367,plain,
% 2.16/2.21 (E(f12(x3671),a1)),
% 2.16/2.21 inference(rename_variables,[],[337])).
% 2.16/2.21 cnf(369,plain,
% 2.16/2.21 (E(f12(x3691),a1)),
% 2.16/2.21 inference(rename_variables,[],[337])).
% 2.16/2.21 cnf(370,plain,
% 2.16/2.21 (P11(a1)),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,337,367,369,32,31,30])).
% 2.16/2.21 cnf(371,plain,
% 2.16/2.21 (E(f12(x3711),a1)),
% 2.16/2.21 inference(rename_variables,[],[337])).
% 2.16/2.21 cnf(373,plain,
% 2.16/2.21 (E(f12(x3731),a1)),
% 2.16/2.21 inference(rename_variables,[],[337])).
% 2.16/2.21 cnf(374,plain,
% 2.16/2.21 (P8(a1)),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,54,55,337,367,369,371,373,32,31,30,29,28])).
% 2.16/2.21 cnf(375,plain,
% 2.16/2.21 (E(f12(x3751),a1)),
% 2.16/2.21 inference(rename_variables,[],[337])).
% 2.16/2.21 cnf(377,plain,
% 2.16/2.21 (E(f12(x3771),a1)),
% 2.16/2.21 inference(rename_variables,[],[337])).
% 2.16/2.21 cnf(379,plain,
% 2.16/2.21 (E(f12(x3791),a1)),
% 2.16/2.21 inference(rename_variables,[],[337])).
% 2.16/2.21 cnf(380,plain,
% 2.16/2.21 (E(f8(f12(x3801)),f8(a1))),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,54,55,56,57,337,367,369,371,373,375,377,379,32,31,30,29,28,27,26,13])).
% 2.16/2.21 cnf(381,plain,
% 2.16/2.21 (E(f6(f12(x3811)),f6(a1))),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,54,55,56,57,337,367,369,371,373,375,377,379,32,31,30,29,28,27,26,13,11])).
% 2.16/2.21 cnf(382,plain,
% 2.16/2.21 (E(f9(f12(x3821),x3822),f9(a1,x3822))),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,54,55,56,57,337,367,369,371,373,375,377,379,32,31,30,29,28,27,26,13,11,6])).
% 2.16/2.21 cnf(383,plain,
% 2.16/2.21 (E(f12(f12(x3831)),f12(a1))),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,54,55,56,57,337,367,369,371,373,375,377,379,32,31,30,29,28,27,26,13,11,6,4])).
% 2.16/2.21 cnf(387,plain,
% 2.16/2.21 (~P13(f14(x3871),f13(x3871))),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,54,55,56,57,35,60,307,337,367,369,371,373,375,377,379,32,31,30,29,28,27,26,13,11,6,4,91,92])).
% 2.16/2.21 cnf(389,plain,
% 2.16/2.21 (~E(a4,a7)),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,54,55,56,57,35,60,307,337,367,369,371,373,375,377,379,232,32,31,30,29,28,27,26,13,11,6,4,91,92,9])).
% 2.16/2.21 cnf(390,plain,
% 2.16/2.21 (~E(f14(f12(x3901)),f15(a3))),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,54,55,56,57,35,44,58,60,307,301,337,367,369,371,373,375,377,379,232,32,31,30,29,28,27,26,13,11,6,4,91,92,9,95])).
% 2.16/2.21 cnf(394,plain,
% 2.16/2.21 (E(f9(x3941,a1),f9(x3941,f12(x3942)))),
% 2.16/2.21 inference(scs_inference,[],[51,52,53,54,55,56,57,35,44,58,60,307,341,301,337,367,369,371,373,375,377,379,232,32,31,30,29,28,27,26,13,11,6,4,91,92,9,95,2])).
% 2.16/2.21 cnf(397,plain,
% 2.16/2.21 (E(f9(x3971,f12(x3972)),f9(x3971,a2))),
% 2.16/2.21 inference(scs_inference,[],[69,51,52,53,54,55,56,57,35,44,58,60,307,341,301,337,367,369,371,373,375,377,379,129,232,171,32,31,30,29,28,27,26,13,11,6,4,91,92,9,95,2,19,3])).
% 2.16/2.21 cnf(421,plain,
% 2.16/2.21 (P5(f9(a1,a2),f14(f9(a2,a2)))),
% 2.16/2.21 inference(scs_inference,[],[318,90])).
% 2.16/2.21 cnf(423,plain,
% 2.16/2.21 (~P5(f14(a1),f14(a1))),
% 2.16/2.21 inference(scs_inference,[],[33,318,317,90,96])).
% 2.16/2.21 cnf(425,plain,
% 2.16/2.21 (~P13(f14(a1),f14(a1))),
% 2.16/2.21 inference(scs_inference,[],[33,318,317,90,96,87])).
% 2.16/2.21 cnf(427,plain,
% 2.16/2.21 (~P5(f14(a4),f14(f15(a4)))),
% 2.16/2.21 inference(scs_inference,[],[33,318,317,213,69,90,96,87,97])).
% 2.16/2.21 cnf(431,plain,
% 2.16/2.21 (P13(f12(x4311),f14(x4311))),
% 2.16/2.21 inference(scs_inference,[],[33,67,61,318,317,213,69,90,96,87,97,92,88])).
% 2.16/2.21 cnf(435,plain,
% 2.16/2.21 (~E(f12(a1),f14(a1))),
% 2.16/2.21 inference(scs_inference,[],[33,67,61,318,390,317,213,69,90,96,87,97,92,88,2,18])).
% 2.16/2.21 cnf(436,plain,
% 2.16/2.21 (P5(f12(x4361),f14(x4361))),
% 2.16/2.21 inference(rename_variables,[],[61])).
% 2.16/2.21 cnf(439,plain,
% 2.16/2.21 (E(f9(f12(x4391),f12(x4392)),f9(a1,a2))),
% 2.16/2.21 inference(scs_inference,[],[33,67,61,436,318,382,397,390,317,346,213,69,90,96,87,97,92,88,2,18,19,3])).
% 2.16/2.21 cnf(443,plain,
% 2.16/2.21 (~P13(f14(x4431),f13(x4431))),
% 2.16/2.21 inference(rename_variables,[],[387])).
% 2.16/2.21 cnf(445,plain,
% 2.16/2.21 (~P13(f14(f12(x4451)),f13(a1))),
% 2.16/2.21 inference(scs_inference,[],[33,103,67,61,436,387,443,318,382,397,390,342,317,346,213,69,90,96,87,97,92,88,2,18,19,3,25,17,24])).
% 2.16/2.21 cnf(447,plain,
% 2.16/2.21 (P13(a1,f15(f12(x4471)))),
% 2.16/2.21 inference(scs_inference,[],[33,103,67,61,436,46,58,387,443,318,382,397,390,342,317,346,347,125,213,69,90,96,87,97,92,88,2,18,19,3,25,17,24,95])).
% 2.16/2.21 cnf(475,plain,
% 2.16/2.21 (P13(f9(a1,a2),f14(f9(a2,a2)))),
% 2.16/2.21 inference(scs_inference,[],[67,431,421,383,427,447,129,90,87,24,97,88])).
% 2.16/2.21 cnf(478,plain,
% 2.16/2.21 (E(f9(a1,a2),f9(f12(x4781),f12(x4782)))),
% 2.16/2.21 inference(scs_inference,[],[67,431,439,421,383,427,447,129,90,87,24,97,88,2])).
% 2.16/2.21 cnf(487,plain,
% 2.16/2.21 (~P13(f14(f9(a2,a2)),f9(a1,a2))),
% 2.16/2.21 inference(scs_inference,[],[67,62,60,431,439,421,383,445,427,186,447,142,149,342,129,90,87,24,97,88,2,18,19,25,3,17,92])).
% 2.16/2.21 cnf(498,plain,
% 2.16/2.21 (P5(f9(a2,a2),f14(f9(a1,a2)))),
% 2.16/2.21 inference(scs_inference,[],[315,90])).
% 2.16/2.21 cnf(500,plain,
% 2.16/2.21 (~P13(f14(a4),f14(f15(a4)))),
% 2.16/2.21 inference(scs_inference,[],[315,427,90,87])).
% 2.16/2.21 cnf(507,plain,
% 2.16/2.21 (~E(a2,a16)),
% 2.16/2.21 inference(scs_inference,[],[34,65,62,315,423,425,427,307,90,87,97,24,14])).
% 2.16/2.21 cnf(511,plain,
% 2.16/2.21 (~E(f14(f14(a1)),f14(a1))),
% 2.16/2.21 inference(scs_inference,[],[34,65,62,60,389,315,380,423,425,427,307,129,90,87,97,24,14,2,18,19])).
% 2.16/2.21 cnf(515,plain,
% 2.16/2.21 (E(f9(a1,a2),f9(a1,f12(x5151)))),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,62,60,478,389,315,380,423,425,264,427,382,307,129,90,87,97,24,14,2,18,19,25,3])).
% 2.16/2.21 cnf(516,plain,
% 2.16/2.21 (E(f9(a1,a2),f9(f12(x5161),f12(x5162)))),
% 2.16/2.21 inference(rename_variables,[],[478])).
% 2.16/2.21 cnf(518,plain,
% 2.16/2.21 (~P1(f6(a16))),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,62,60,478,389,315,380,423,425,264,427,382,307,129,90,87,97,24,14,2,18,19,25,3,80])).
% 2.16/2.21 cnf(522,plain,
% 2.16/2.21 (P5(f5(a16),f14(a16))),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,62,60,478,389,315,380,423,425,264,427,382,307,129,90,87,97,24,14,2,18,19,25,3,80,78,83])).
% 2.16/2.21 cnf(524,plain,
% 2.16/2.21 (E(f13(x5241),a1)),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,42,62,60,478,389,315,380,423,425,264,427,382,307,129,90,87,97,24,14,2,18,19,25,3,80,78,83,70])).
% 2.16/2.21 cnf(528,plain,
% 2.16/2.21 (~P1(f5(a16))),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,42,62,60,478,389,315,380,423,425,264,427,382,307,129,90,87,97,24,14,2,18,19,25,3,80,78,83,70,81,79])).
% 2.16/2.21 cnf(539,plain,
% 2.16/2.21 (E(f13(f13(x5391)),f13(a1))),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,42,62,60,478,389,315,380,423,425,264,427,382,307,129,90,87,97,24,14,2,18,19,25,3,80,78,83,70,81,79,75,74,84,82,10,5])).
% 2.16/2.21 cnf(542,plain,
% 2.16/2.21 (P16(f9(a1,a2),f9(f12(x5421),f12(x5422)))),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,42,62,44,58,60,478,516,389,475,315,380,423,425,264,427,382,307,129,90,87,97,24,14,2,18,19,25,3,80,78,83,70,81,79,75,74,84,82,10,5,89,16])).
% 2.16/2.21 cnf(545,plain,
% 2.16/2.21 (E(f9(x5451,f13(x5452)),f9(x5451,a1))),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,42,62,44,58,60,478,516,389,475,315,380,423,425,264,427,382,307,129,90,87,97,24,14,2,18,19,25,3,80,78,83,70,81,79,75,74,84,82,10,5,89,16,12,7])).
% 2.16/2.21 cnf(548,plain,
% 2.16/2.21 (E(f14(f13(x5481)),f14(a1))),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,42,62,46,44,58,60,478,516,389,475,315,380,423,425,264,427,382,307,232,129,90,87,97,24,14,2,18,19,25,3,80,78,83,70,81,79,75,74,84,82,10,5,89,16,12,7,99,8])).
% 2.16/2.21 cnf(549,plain,
% 2.16/2.21 (E(f15(f13(x5491)),f15(a1))),
% 2.16/2.21 inference(scs_inference,[],[34,65,102,42,62,46,44,58,60,478,516,389,475,315,380,423,425,264,427,382,307,232,129,90,87,97,24,14,2,18,19,25,3,80,78,83,70,81,79,75,74,84,82,10,5,89,16,12,7,99,8,9])).
% 2.16/2.21 cnf(550,plain,
% 2.16/2.21 (P13(f8(f15(x5501)),f15(a2))+~P16(f8(f15(x5501)),a1)+~P9(f15(a2))),
% 2.16/2.21 inference(scs_inference,[],[34,103,65,102,42,62,46,44,58,60,478,516,389,475,315,380,423,425,264,427,382,145,307,232,129,90,87,97,24,14,2,18,19,25,3,80,78,83,70,81,79,75,74,84,82,10,5,89,16,12,7,99,8,9,95])).
% 2.16/2.21 cnf(554,plain,
% 2.16/2.21 (~P16(f14(a1),a1)),
% 2.16/2.21 inference(scs_inference,[],[423,90])).
% 2.16/2.21 cnf(557,plain,
% 2.16/2.21 (P9(f15(x5571))),
% 2.16/2.21 inference(rename_variables,[],[46])).
% 2.16/2.21 cnf(558,plain,
% 2.16/2.21 (~E(f12(f15(a4)),f14(a4))),
% 2.16/2.21 inference(scs_inference,[],[106,101,46,500,431,120,423,90,95,24])).
% 2.16/2.21 cnf(560,plain,
% 2.16/2.21 (P16(f9(x5601,f12(x5602)),f9(x5601,a1))),
% 2.16/2.21 inference(scs_inference,[],[106,101,46,58,394,500,431,120,423,90,95,24,15])).
% 2.16/2.21 cnf(562,plain,
% 2.16/2.21 (P13(f8(a10),a10)),
% 2.16/2.21 inference(scs_inference,[],[106,101,64,46,58,60,394,500,431,120,423,90,95,24,15,88])).
% 2.16/2.21 cnf(569,plain,
% 2.16/2.21 (E(f9(x5691,a1),f9(x5691,f13(x5692)))),
% 2.16/2.21 inference(scs_inference,[],[34,106,101,64,46,58,60,63,542,394,545,500,397,431,120,423,90,95,24,15,88,16,14,2])).
% 2.16/2.21 cnf(572,plain,
% 2.16/2.21 (~P13(f14(a1),f14(f13(x5721)))),
% 2.16/2.21 inference(scs_inference,[],[34,106,101,64,61,46,58,60,63,542,394,545,548,500,397,425,431,120,423,90,95,24,15,88,16,14,2,19,25])).
% 2.16/2.21 cnf(577,plain,
% 2.16/2.21 (P9(f15(x5771))),
% 2.16/2.21 inference(rename_variables,[],[46])).
% 2.16/2.21 cnf(578,plain,
% 2.16/2.21 (E(f12(f13(x5781)),f12(a1))),
% 2.16/2.21 inference(scs_inference,[],[34,106,101,64,61,46,557,58,60,63,542,394,545,548,500,524,397,425,431,120,382,423,90,95,24,15,88,16,14,2,19,25,3,550,4])).
% 2.16/2.21 cnf(579,plain,
% 2.16/2.21 (E(f8(f13(x5791)),f8(a1))),
% 2.16/2.21 inference(scs_inference,[],[34,106,101,64,61,46,557,58,60,63,542,394,545,548,500,524,397,425,431,120,382,423,90,95,24,15,88,16,14,2,19,25,3,550,4,13])).
% 2.16/2.21 cnf(580,plain,
% 2.16/2.21 (E(f6(f13(x5801)),f6(a1))),
% 2.16/2.21 inference(scs_inference,[],[34,106,101,64,61,46,557,58,60,63,542,394,545,548,500,524,397,425,431,120,382,423,90,95,24,15,88,16,14,2,19,25,3,550,4,13,11])).
% 2.16/2.21 cnf(581,plain,
% 2.16/2.21 (E(f9(f13(x5811),x5812),f9(a1,x5812))),
% 2.16/2.21 inference(scs_inference,[],[34,106,101,64,61,46,557,58,60,63,542,394,545,548,500,524,397,425,431,120,382,423,90,95,24,15,88,16,14,2,19,25,3,550,4,13,11,6])).
% 2.16/2.21 cnf(584,plain,
% 2.16/2.21 (~P13(f14(a1),f15(f13(x5841)))),
% 2.16/2.21 inference(scs_inference,[],[34,106,101,64,61,46,557,577,58,60,63,542,394,545,548,549,500,524,397,425,431,120,382,423,90,95,24,15,88,16,14,2,19,25,3,550,4,13,11,6,71,94])).
% 2.16/2.21 cnf(610,plain,
% 2.16/2.21 (P13(f13(a1),f14(f13(x6101)))),
% 2.16/2.21 inference(scs_inference,[],[106,101,46,190,539,562,120,307,90,92,95,24])).
% 2.16/2.21 cnf(612,plain,
% 2.16/2.21 (P13(f9(a2,a2),f14(f9(a1,a2)))),
% 2.16/2.21 inference(scs_inference,[],[106,101,67,46,498,190,539,562,120,307,90,92,95,24,88])).
% 2.16/2.21 cnf(615,plain,
% 2.16/2.21 (~E(a1,f14(a1))),
% 2.16/2.21 inference(scs_inference,[],[106,101,67,46,58,498,190,539,554,562,120,307,90,92,95,24,88,15])).
% 2.16/2.21 cnf(617,plain,
% 2.16/2.21 (~P16(f14(a1),f12(x6171))),
% 2.16/2.21 inference(scs_inference,[],[106,101,67,46,58,498,190,539,554,562,337,120,307,90,92,95,24,88,15,16])).
% 2.16/2.21 cnf(623,plain,
% 2.16/2.21 (P13(a1,f15(a1))),
% 2.16/2.21 inference(scs_inference,[],[106,101,67,46,58,60,435,558,498,190,539,554,562,144,347,337,447,120,307,90,92,95,24,88,15,16,2,19,3,25])).
% 2.16/2.21 cnf(641,plain,
% 2.16/2.21 (~P5(f14(a1),f14(f12(x6411)))),
% 2.16/2.21 inference(scs_inference,[],[617,93])).
% 2.16/2.21 cnf(645,plain,
% 2.16/2.21 (~P13(f14(f9(a1,a2)),f9(a2,a2))),
% 2.16/2.21 inference(scs_inference,[],[612,610,617,93,87,92])).
% 2.16/2.21 cnf(647,plain,
% 2.16/2.21 (P13(a1,f15(f13(x6471)))),
% 2.16/2.21 inference(scs_inference,[],[46,58,612,610,617,549,125,93,87,92,95])).
% 2.16/2.21 cnf(648,plain,
% 2.16/2.21 (P16(x6481,x6481)),
% 2.16/2.21 inference(rename_variables,[],[58])).
% 2.16/2.21 cnf(652,plain,
% 2.16/2.21 (~P1(f14(x6521))),
% 2.16/2.21 inference(rename_variables,[],[67])).
% 2.16/2.21 cnf(654,plain,
% 2.16/2.21 (P13(f9(a1,a1),f14(f9(a1,a2)))),
% 2.16/2.21 inference(scs_inference,[],[67,46,58,612,572,610,617,173,549,125,93,87,92,95,88,24])).
% 2.16/2.21 cnf(655,plain,
% 2.16/2.21 (~P16(f14(f13(x6551)),f12(x6552))),
% 2.16/2.21 inference(scs_inference,[],[67,46,58,612,572,610,617,173,548,549,125,93,87,92,95,88,24,15])).
% 2.16/2.21 cnf(656,plain,
% 2.16/2.21 (~E(f12(x6561),f14(x6562))),
% 2.16/2.21 inference(scs_inference,[],[67,652,41,46,58,612,572,610,617,173,548,549,125,93,87,92,95,88,24,15,14])).
% 2.16/2.21 cnf(657,plain,
% 2.16/2.21 (P16(f9(x6571,a1),f9(x6571,f13(x6572)))),
% 2.16/2.21 inference(scs_inference,[],[67,652,41,46,58,648,569,612,572,610,617,173,548,549,125,93,87,92,95,88,24,15,14,16])).
% 2.16/2.21 cnf(659,plain,
% 2.16/2.21 (E(f9(a1,x6591),f9(f13(x6592),x6591))),
% 2.16/2.21 inference(scs_inference,[],[67,652,41,46,58,648,569,581,612,572,610,617,173,548,549,125,93,87,92,95,88,24,15,14,16,2])).
% 2.16/2.21 cnf(662,plain,
% 2.16/2.21 (E(f9(a1,a2),f9(f12(x6621),a1))),
% 2.16/2.21 inference(scs_inference,[],[102,67,652,41,46,58,648,569,581,612,572,610,617,623,478,173,341,548,549,125,93,87,92,95,88,24,15,14,16,2,25,3])).
% 2.16/2.21 cnf(666,plain,
% 2.16/2.21 (~P16(f14(a1),f13(x6661))),
% 2.16/2.21 inference(scs_inference,[],[102,67,652,41,46,58,648,569,581,612,572,610,617,623,478,173,341,548,549,125,93,87,92,95,88,24,15,14,16,2,25,3,21,90])).
% 2.16/2.21 cnf(694,plain,
% 2.16/2.21 (P16(f12(x6941),x6941)),
% 2.16/2.21 inference(scs_inference,[],[61,176,71,93])).
% 2.16/2.21 cnf(699,plain,
% 2.16/2.21 (~P13(f14(a1),f14(f12(x6991)))),
% 2.16/2.21 inference(scs_inference,[],[61,176,641,647,129,71,93,97,87])).
% 2.16/2.21 cnf(701,plain,
% 2.16/2.21 (P5(f9(a1,a2),f14(f9(a2,a1)))),
% 2.16/2.21 inference(scs_inference,[],[61,176,641,647,273,129,71,93,97,87,90])).
% 2.16/2.21 cnf(703,plain,
% 2.16/2.21 (~P13(f14(f9(a1,a2)),f9(a1,a1))),
% 2.16/2.21 inference(scs_inference,[],[61,654,176,641,647,273,129,71,93,97,87,90,92])).
% 2.16/2.21 cnf(705,plain,
% 2.16/2.21 (P13(f13(a1),f15(f12(x7051)))),
% 2.16/2.21 inference(scs_inference,[],[61,46,654,176,641,647,303,273,262,347,129,71,93,97,87,90,92,95])).
% 2.16/2.21 cnf(710,plain,
% 2.16/2.21 (P13(f8(f15(x7101)),f15(x7101))),
% 2.16/2.21 inference(scs_inference,[],[68,61,46,60,654,176,641,647,303,273,262,347,129,71,93,97,87,90,92,95,88])).
% 2.16/2.21 cnf(713,plain,
% 2.16/2.21 (~P13(f14(a2),f15(f13(x7131)))),
% 2.16/2.21 inference(scs_inference,[],[68,61,46,60,654,176,584,641,647,303,273,262,347,146,129,71,93,97,87,90,92,95,88,24])).
% 2.16/2.21 cnf(714,plain,
% 2.16/2.21 (P16(f9(f13(x7141),x7142),f9(a1,x7142))),
% 2.16/2.21 inference(scs_inference,[],[68,61,46,60,58,654,659,176,584,641,647,303,273,262,347,146,129,71,93,97,87,90,92,95,88,24,15])).
% 2.16/2.21 cnf(715,plain,
% 2.16/2.21 (P16(x7151,x7151)),
% 2.16/2.21 inference(rename_variables,[],[58])).
% 2.16/2.21 cnf(724,plain,
% 2.16/2.21 (E(f9(a1,a2),f9(f13(x7241),f12(x7242)))),
% 2.16/2.21 inference(scs_inference,[],[68,42,64,61,62,46,60,58,715,655,656,654,659,515,176,584,641,647,303,273,185,262,347,146,129,71,93,97,87,90,92,95,88,24,15,18,14,16,2,25,3])).
% 2.16/2.21 cnf(732,plain,
% 2.16/2.21 (E(f8(f14(a1)),a1)),
% 2.16/2.21 inference(scs_inference,[],[68,42,64,61,62,46,60,58,715,655,656,654,659,515,176,584,641,647,303,273,185,262,347,146,129,71,93,97,87,90,92,95,88,24,15,18,14,16,2,25,3,80,78,79,70])).
% 2.16/2.21 cnf(747,plain,
% 2.16/2.21 (P5(f13(a1),f15(f12(x7471)))),
% 2.16/2.21 inference(scs_inference,[],[705,87])).
% 2.16/2.21 cnf(751,plain,
% 2.16/2.21 (P13(f12(a1),f15(f12(x7511)))),
% 2.16/2.21 inference(scs_inference,[],[43,46,694,710,705,347,87,92,95])).
% 2.16/2.21 cnf(752,plain,
% 2.16/2.21 (P9(f15(x7521))),
% 2.16/2.21 inference(rename_variables,[],[46])).
% 2.16/2.21 cnf(756,plain,
% 2.16/2.21 (P13(f9(a1,a2),f14(f9(a2,a1)))),
% 2.16/2.21 inference(scs_inference,[],[43,67,46,694,710,701,705,347,87,92,95,88])).
% 2.16/2.21 cnf(759,plain,
% 2.16/2.21 (P13(f12(a1),f14(f13(x7591)))),
% 2.16/2.22 inference(scs_inference,[],[43,67,46,694,710,701,578,705,431,347,87,92,95,88,24])).
% 2.16/2.22 cnf(765,plain,
% 2.16/2.22 (~P16(f14(a1),f8(f14(a1)))),
% 2.16/2.22 inference(scs_inference,[],[43,67,62,46,58,694,710,701,578,666,705,732,554,427,431,347,87,92,95,88,24,18,15,16])).
% 2.16/2.22 cnf(766,plain,
% 2.16/2.22 (E(f9(f13(x7661),f12(x7662)),f9(a1,a2))),
% 2.16/2.22 inference(scs_inference,[],[43,67,62,46,58,694,710,724,701,578,666,705,732,554,427,431,347,87,92,95,88,24,18,15,16,2])).
% 2.16/2.22 cnf(770,plain,
% 2.16/2.22 (P13(f12(a1),f15(a2))),
% 2.16/2.22 inference(scs_inference,[],[43,67,62,46,58,694,710,724,701,703,578,666,705,615,732,554,427,147,346,431,347,87,92,95,88,24,18,15,16,2,3,25,362])).
% 2.16/2.22 cnf(772,plain,
% 2.16/2.22 (~P13(f14(a1),f15(f12(x7721)))),
% 2.16/2.22 inference(scs_inference,[],[43,67,62,46,58,694,710,724,701,703,578,666,705,615,732,554,427,147,346,431,347,87,92,95,88,24,18,15,16,2,3,25,362,353])).
% 2.16/2.22 cnf(774,plain,
% 2.16/2.22 (~P13(f14(a1),f15(a2))),
% 2.16/2.22 inference(scs_inference,[],[43,67,62,46,752,58,694,710,724,701,703,578,666,705,615,732,554,427,147,346,431,347,145,87,92,95,88,24,18,15,16,2,3,25,362,353,94])).
% 2.16/2.22 cnf(799,plain,
% 2.16/2.22 (~P5(f15(a2),f14(f12(x7991)))),
% 2.16/2.22 inference(scs_inference,[],[41,770,96])).
% 2.16/2.22 cnf(802,plain,
% 2.16/2.22 (P5(f8(x8021),x8021)),
% 2.16/2.22 inference(rename_variables,[],[60])).
% 2.16/2.22 cnf(804,plain,
% 2.16/2.22 (~P13(f15(a2),f14(f12(x8041)))),
% 2.16/2.22 inference(scs_inference,[],[41,60,770,96,93,87])).
% 2.16/2.22 cnf(806,plain,
% 2.16/2.22 (~P13(f14(f9(a2,a1)),f9(a1,a2))),
% 2.16/2.22 inference(scs_inference,[],[41,60,756,770,96,93,87,92])).
% 2.16/2.22 cnf(811,plain,
% 2.16/2.22 (~P1(f15(x8111))),
% 2.16/2.22 inference(rename_variables,[],[68])).
% 2.16/2.22 cnf(817,plain,
% 2.16/2.22 (~E(f12(x8171),f15(x8172))),
% 2.16/2.22 inference(scs_inference,[],[106,101,68,811,41,60,802,46,756,579,713,770,647,120,96,93,87,92,95,88,24,18,14])).
% 2.16/2.22 cnf(818,plain,
% 2.16/2.22 (~P16(f14(f13(x8181)),f13(x8182))),
% 2.16/2.22 inference(scs_inference,[],[106,101,68,811,41,60,802,46,756,579,713,770,647,666,548,120,96,93,87,92,95,88,24,18,14,15])).
% 2.16/2.22 cnf(819,plain,
% 2.16/2.22 (P16(f9(f13(x8191),f12(x8192)),f9(a1,a2))),
% 2.16/2.22 inference(scs_inference,[],[106,101,68,811,41,60,802,46,58,766,756,579,713,770,647,666,548,120,96,93,87,92,95,88,24,18,14,15,16])).
% 2.16/2.22 cnf(824,plain,
% 2.16/2.22 (E(f9(f13(x8241),a1),f9(a1,a2))),
% 2.16/2.22 inference(scs_inference,[],[106,101,68,811,41,62,60,802,46,58,511,766,756,579,713,770,394,647,666,548,120,96,93,87,92,95,88,24,18,14,15,16,19,2,3])).
% 2.16/2.22 cnf(842,plain,
% 2.16/2.22 (P5(f12(a1),f14(f13(x8421)))),
% 2.16/2.22 inference(scs_inference,[],[759,129,97])).
% 2.16/2.22 cnf(849,plain,
% 2.16/2.22 (P13(f8(f6(a3)),f6(a3))),
% 2.16/2.22 inference(scs_inference,[],[106,101,60,46,131,759,751,120,129,97,87,95,88])).
% 2.16/2.22 cnf(850,plain,
% 2.16/2.22 (P5(f8(x8501),x8501)),
% 2.16/2.22 inference(rename_variables,[],[60])).
% 2.16/2.22 cnf(853,plain,
% 2.16/2.22 (~E(f13(f12(x8531)),f15(a2))),
% 2.16/2.22 inference(scs_inference,[],[106,101,62,60,46,699,799,131,759,751,146,120,129,97,87,95,88,24,18])).
% 2.16/2.22 cnf(857,plain,
% 2.16/2.22 (P16(x8571,x8571)),
% 2.16/2.22 inference(rename_variables,[],[58])).
% 2.16/2.22 cnf(858,plain,
% 2.16/2.22 (~E(f14(f13(x8581)),f13(x8582))),
% 2.16/2.22 inference(scs_inference,[],[106,101,42,62,63,60,46,58,857,818,824,699,799,131,759,751,146,120,129,97,87,95,88,24,18,14,15,16])).
% 2.16/2.22 cnf(863,plain,
% 2.16/2.22 (E(f9(f13(x8631),f13(x8632)),f9(a1,a2))),
% 2.16/2.22 inference(scs_inference,[],[106,101,42,62,63,60,850,46,58,857,818,824,699,799,131,759,751,143,545,146,120,129,97,87,95,88,24,18,14,15,16,19,2,3])).
% 2.16/2.22 cnf(883,plain,
% 2.16/2.22 (~P1(f14(x8831))),
% 2.16/2.22 inference(rename_variables,[],[67])).
% 2.16/2.22 cnf(885,plain,
% 2.16/2.22 (P13(f12(a1),f14(a2))),
% 2.16/2.22 inference(scs_inference,[],[67,522,150,431,88,24])).
% 2.16/2.22 cnf(887,plain,
% 2.16/2.22 (~P5(f14(f12(x8871)),f14(a1))),
% 2.16/2.22 inference(scs_inference,[],[67,522,150,346,431,423,88,24,18])).
% 2.16/2.22 cnf(910,plain,
% 2.16/2.22 (~P13(f14(a16),f5(a16))),
% 2.16/2.22 inference(scs_inference,[],[67,883,58,817,858,487,522,863,714,765,150,374,148,346,431,423,548,88,24,18,15,16,2,3,25,80,78,79,74,75,28,87,92])).
% 2.16/2.22 cnf(933,plain,
% 2.16/2.22 (~P5(a3,f14(f13(x9331)))),
% 2.16/2.22 inference(scs_inference,[],[111,42,96])).
% 2.16/2.22 cnf(937,plain,
% 2.16/2.22 (~P16(f14(f12(x9371)),a1)),
% 2.16/2.22 inference(scs_inference,[],[111,42,887,151,849,96,97,90])).
% 2.16/2.22 cnf(939,plain,
% 2.16/2.22 (P5(f12(a1),f14(a2))),
% 2.16/2.22 inference(scs_inference,[],[111,42,887,885,151,849,96,97,90,87])).
% 2.16/2.22 cnf(941,plain,
% 2.16/2.22 (P13(f12(a1),f15(f13(x9411)))),
% 2.16/2.22 inference(scs_inference,[],[43,111,42,46,887,885,151,849,694,549,96,97,90,87,95])).
% 2.16/2.22 cnf(954,plain,
% 2.16/2.22 (P16(x9541,x9541)),
% 2.16/2.22 inference(rename_variables,[],[58])).
% 2.16/2.22 cnf(960,plain,
% 2.16/2.22 (E(f9(a1,a2),f9(f12(x9601),a2))),
% 2.16/2.22 inference(scs_inference,[],[43,111,68,42,46,58,954,662,747,772,887,885,151,849,818,694,142,478,397,549,337,347,129,96,97,90,87,95,88,24,18,15,16,19,2,3])).
% 2.16/2.22 cnf(995,plain,
% 2.16/2.22 (~E(f14(a3),f14(f13(x9951)))),
% 2.16/2.22 inference(scs_inference,[],[67,42,60,46,58,657,960,133,774,933,937,939,863,146,145,337,129,94,87,88,14,24,18,15,16,19])).
% 2.16/2.22 cnf(997,plain,
% 2.16/2.22 (~E(f15(a2),f13(f12(x9971)))),
% 2.16/2.22 inference(scs_inference,[],[67,42,60,46,58,657,960,853,133,774,933,937,939,863,146,145,337,129,94,87,88,14,24,18,15,16,19,2])).
% 2.16/2.22 cnf(1014,plain,
% 2.16/2.22 (P13(f13(a1),f14(f12(x10141)))),
% 2.16/2.22 inference(scs_inference,[],[67,277,941,342,307,87,88,24])).
% 2.16/2.22 cnf(1027,plain,
% 2.16/2.22 (P5(f5(a1),f14(f5(a2)))),
% 2.16/2.22 inference(scs_inference,[],[41,67,65,60,806,819,381,997,277,941,144,141,581,370,342,171,307,145,129,87,88,24,14,15,19,2,3,25,30,18])).
% 2.16/2.22 cnf(1048,plain,
% 2.16/2.22 (~P16(f14(f12(x10481)),f12(x10482))),
% 2.16/2.22 inference(scs_inference,[],[60,910,804,1014,528,617,346,88,24,18,15])).
% 2.16/2.22 cnf(1089,plain,
% 2.16/2.22 (~E(f13(x10891),f15(x10892))),
% 2.16/2.22 inference(scs_inference,[],[68,42,60,842,518,774,337,548,88,24,18,14])).
% 2.16/2.22 cnf(1156,plain,
% 2.16/2.22 ($false),
% 2.16/2.22 inference(scs_inference,[],[42,101,106,120,67,60,46,44,321,1048,1089,645,580,995,1027,507,560,1014,937,150,475,659,143,127,271,171,129,87,88,24,16,18,14,15,19,2,3,25,8,93,92,95]),
% 2.16/2.22 ['proof']).
% 2.16/2.22 % SZS output end Proof
% 2.16/2.22 % Total time :1.530000s
%------------------------------------------------------------------------------