TSTP Solution File: SEU375+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU375+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 16:19:33 EDT 2023
% Result : Theorem 6.37s 6.50s
% Output : CNFRefutation 6.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 01:03:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 6.37/6.48 %-------------------------------------------
% 6.37/6.48 % File :CSE---1.6
% 6.37/6.48 % Problem :theBenchmark
% 6.37/6.48 % Transform :cnf
% 6.37/6.48 % Format :tptp:raw
% 6.37/6.48 % Command :java -jar mcs_scs.jar %d %s
% 6.37/6.48
% 6.37/6.48 % Result :Theorem 5.860000s
% 6.37/6.49 % Output :CNFRefutation 5.860000s
% 6.37/6.49 %-------------------------------------------
% 6.37/6.49 %------------------------------------------------------------------------------
% 6.37/6.49 % File : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% 6.37/6.49 % Domain : Set theory
% 6.37/6.49 % Problem : MPTP bushy problem t21_yellow_6
% 6.37/6.49 % Version : [Urb07] axioms : Especial.
% 6.37/6.49 % English :
% 6.37/6.49
% 6.37/6.49 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 6.37/6.49 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 6.37/6.49 % Source : [Urb07]
% 6.37/6.49 % Names : bushy-t21_yellow_6 [Urb07]
% 6.37/6.49
% 6.37/6.49 % Status : Theorem
% 6.37/6.49 % Rating : 0.22 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.20 v6.1.0, 0.23 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.14 v5.0.0, 0.21 v4.1.0, 0.26 v4.0.0, 0.29 v3.7.0, 0.25 v3.5.0, 0.26 v3.3.0
% 6.37/6.49 % Syntax : Number of formulae : 40 ( 7 unt; 0 def)
% 6.37/6.49 % Number of atoms : 119 ( 6 equ)
% 6.37/6.49 % Maximal formula atoms : 14 ( 2 avg)
% 6.37/6.49 % Number of connectives : 91 ( 12 ~; 1 |; 37 &)
% 6.37/6.49 % ( 1 <=>; 40 =>; 0 <=; 0 <~>)
% 6.37/6.49 % Maximal formula depth : 18 ( 5 avg)
% 6.37/6.49 % Maximal term depth : 2 ( 1 avg)
% 6.37/6.49 % Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% 6.37/6.49 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 6.37/6.49 % Number of variables : 61 ( 46 !; 15 ?)
% 6.37/6.49 % SPC : FOF_THM_RFO_SEQ
% 6.37/6.49
% 6.37/6.49 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 6.37/6.49 % library, www.mizar.org
% 6.37/6.49 %------------------------------------------------------------------------------
% 6.37/6.49 fof(antisymmetry_r2_hidden,axiom,
% 6.37/6.49 ! [A,B] :
% 6.37/6.49 ( in(A,B)
% 6.37/6.49 => ~ in(B,A) ) ).
% 6.37/6.49
% 6.37/6.49 fof(cc1_funct_1,axiom,
% 6.37/6.49 ! [A] :
% 6.37/6.49 ( empty(A)
% 6.37/6.49 => function(A) ) ).
% 6.37/6.49
% 6.37/6.49 fof(cc1_relat_1,axiom,
% 6.37/6.49 ! [A] :
% 6.37/6.49 ( empty(A)
% 6.37/6.49 => relation(A) ) ).
% 6.37/6.49
% 6.37/6.49 fof(cc1_yellow_3,axiom,
% 6.37/6.49 ! [A] :
% 6.37/6.49 ( rel_str(A)
% 6.37/6.49 => ( empty_carrier(A)
% 6.37/6.49 => v1_yellow_3(A) ) ) ).
% 6.37/6.49
% 6.37/6.49 fof(cc2_funct_1,axiom,
% 6.37/6.49 ! [A] :
% 6.37/6.49 ( ( relation(A)
% 6.37/6.49 & empty(A)
% 6.37/6.49 & function(A) )
% 6.37/6.49 => ( relation(A)
% 6.37/6.49 & function(A)
% 6.37/6.49 & one_to_one(A) ) ) ).
% 6.37/6.49
% 6.37/6.49 fof(cc2_yellow_3,axiom,
% 6.37/6.49 ! [A] :
% 6.37/6.49 ( rel_str(A)
% 6.37/6.49 => ( ~ v1_yellow_3(A)
% 6.37/6.49 => ~ empty_carrier(A) ) ) ).
% 6.37/6.49
% 6.37/6.49 fof(d9_yellow_6,axiom,
% 6.37/6.49 ! [A] :
% 6.37/6.49 ( one_sorted_str(A)
% 6.37/6.49 => ! [B] :
% 6.37/6.49 ( net_str(B,A)
% 6.37/6.49 => ! [C] :
% 6.37/6.49 ( subnetstr(C,A,B)
% 6.37/6.49 => ( full_subnetstr(C,A,B)
% 6.37/6.49 <=> ( full_subrelstr(C,B)
% 6.37/6.49 & subrelstr(C,B) ) ) ) ) ) ).
% 6.37/6.49
% 6.37/6.49 fof(dt_k1_xboole_0,axiom,
% 6.37/6.49 $true ).
% 6.37/6.49
% 6.37/6.49 fof(dt_l1_orders_2,axiom,
% 6.37/6.49 ! [A] :
% 6.37/6.49 ( rel_str(A)
% 6.37/6.49 => one_sorted_str(A) ) ).
% 6.37/6.49
% 6.37/6.49 fof(dt_l1_struct_0,axiom,
% 6.37/6.49 $true ).
% 6.37/6.49
% 6.37/6.49 fof(dt_l1_waybel_0,axiom,
% 6.37/6.49 ! [A] :
% 6.37/6.49 ( one_sorted_str(A)
% 6.37/6.49 => ! [B] :
% 6.37/6.49 ( net_str(B,A)
% 6.37/6.49 => rel_str(B) ) ) ).
% 6.37/6.49
% 6.37/6.49 fof(dt_m1_subset_1,axiom,
% 6.37/6.49 $true ).
% 6.37/6.49
% 6.37/6.49 fof(dt_m1_yellow_0,axiom,
% 6.37/6.49 ! [A] :
% 6.37/6.49 ( rel_str(A)
% 6.37/6.49 => ! [B] :
% 6.37/6.49 ( subrelstr(B,A)
% 6.37/6.49 => rel_str(B) ) ) ).
% 6.37/6.49
% 6.37/6.49 fof(dt_m1_yellow_6,axiom,
% 6.37/6.49 ! [A,B] :
% 6.37/6.49 ( ( one_sorted_str(A)
% 6.37/6.49 & net_str(B,A) )
% 6.37/6.49 => ! [C] :
% 6.37/6.49 ( subnetstr(C,A,B)
% 6.37/6.49 => net_str(C,A) ) ) ).
% 6.37/6.49
% 6.37/6.49 fof(dt_u1_struct_0,axiom,
% 6.37/6.49 $true ).
% 6.37/6.49
% 6.37/6.49 fof(existence_l1_orders_2,axiom,
% 6.37/6.49 ? [A] : rel_str(A) ).
% 6.37/6.49
% 6.37/6.49 fof(existence_l1_struct_0,axiom,
% 6.37/6.49 ? [A] : one_sorted_str(A) ).
% 6.37/6.50
% 6.37/6.50 fof(existence_l1_waybel_0,axiom,
% 6.37/6.50 ! [A] :
% 6.37/6.50 ( one_sorted_str(A)
% 6.37/6.50 => ? [B] : net_str(B,A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(existence_m1_subset_1,axiom,
% 6.37/6.50 ! [A] :
% 6.37/6.50 ? [B] : element(B,A) ).
% 6.37/6.50
% 6.37/6.50 fof(existence_m1_yellow_0,axiom,
% 6.37/6.50 ! [A] :
% 6.37/6.50 ( rel_str(A)
% 6.37/6.50 => ? [B] : subrelstr(B,A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(existence_m1_yellow_6,axiom,
% 6.37/6.50 ! [A,B] :
% 6.37/6.50 ( ( one_sorted_str(A)
% 6.37/6.50 & net_str(B,A) )
% 6.37/6.50 => ? [C] : subnetstr(C,A,B) ) ).
% 6.37/6.50
% 6.37/6.50 fof(fc12_relat_1,axiom,
% 6.37/6.50 ( empty(empty_set)
% 6.37/6.50 & relation(empty_set)
% 6.37/6.50 & relation_empty_yielding(empty_set) ) ).
% 6.37/6.50
% 6.37/6.50 fof(fc1_struct_0,axiom,
% 6.37/6.50 ! [A] :
% 6.37/6.50 ( ( ~ empty_carrier(A)
% 6.37/6.50 & one_sorted_str(A) )
% 6.37/6.50 => ~ empty(the_carrier(A)) ) ).
% 6.37/6.50
% 6.37/6.50 fof(fc4_relat_1,axiom,
% 6.37/6.50 ( empty(empty_set)
% 6.37/6.50 & relation(empty_set) ) ).
% 6.37/6.50
% 6.37/6.50 fof(rc1_funct_1,axiom,
% 6.37/6.50 ? [A] :
% 6.37/6.50 ( relation(A)
% 6.37/6.50 & function(A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(rc1_pboole,axiom,
% 6.37/6.50 ? [A] :
% 6.37/6.50 ( relation(A)
% 6.37/6.50 & relation_empty_yielding(A)
% 6.37/6.50 & function(A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(rc1_relat_1,axiom,
% 6.37/6.50 ? [A] :
% 6.37/6.50 ( empty(A)
% 6.37/6.50 & relation(A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(rc2_funct_1,axiom,
% 6.37/6.50 ? [A] :
% 6.37/6.50 ( relation(A)
% 6.37/6.50 & empty(A)
% 6.37/6.50 & function(A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(rc2_relat_1,axiom,
% 6.37/6.50 ? [A] :
% 6.37/6.50 ( ~ empty(A)
% 6.37/6.50 & relation(A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(rc3_funct_1,axiom,
% 6.37/6.50 ? [A] :
% 6.37/6.50 ( relation(A)
% 6.37/6.50 & function(A)
% 6.37/6.50 & one_to_one(A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(rc3_relat_1,axiom,
% 6.37/6.50 ? [A] :
% 6.37/6.50 ( relation(A)
% 6.37/6.50 & relation_empty_yielding(A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(rc3_struct_0,axiom,
% 6.37/6.50 ? [A] :
% 6.37/6.50 ( one_sorted_str(A)
% 6.37/6.50 & ~ empty_carrier(A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(rc4_funct_1,axiom,
% 6.37/6.50 ? [A] :
% 6.37/6.50 ( relation(A)
% 6.37/6.50 & relation_empty_yielding(A)
% 6.37/6.50 & function(A) ) ).
% 6.37/6.50
% 6.37/6.50 fof(t1_subset,axiom,
% 6.37/6.50 ! [A,B] :
% 6.37/6.50 ( in(A,B)
% 6.37/6.50 => element(A,B) ) ).
% 6.37/6.50
% 6.37/6.50 fof(t21_yellow_6,conjecture,
% 6.37/6.50 ! [A] :
% 6.37/6.50 ( one_sorted_str(A)
% 6.37/6.50 => ! [B] :
% 6.37/6.50 ( ( ~ empty_carrier(B)
% 6.37/6.50 & net_str(B,A) )
% 6.37/6.50 => ! [C] :
% 6.37/6.50 ( ( ~ empty_carrier(C)
% 6.37/6.50 & full_subnetstr(C,A,B)
% 6.37/6.50 & subnetstr(C,A,B) )
% 6.37/6.50 => ! [D] :
% 6.37/6.50 ( element(D,the_carrier(B))
% 6.37/6.50 => ! [E] :
% 6.37/6.50 ( element(E,the_carrier(B))
% 6.37/6.50 => ! [F] :
% 6.37/6.50 ( element(F,the_carrier(C))
% 6.37/6.50 => ! [G] :
% 6.37/6.50 ( element(G,the_carrier(C))
% 6.37/6.50 => ( ( D = F
% 6.37/6.50 & E = G
% 6.37/6.50 & related(B,D,E) )
% 6.37/6.50 => related(C,F,G) ) ) ) ) ) ) ) ) ).
% 6.37/6.50
% 6.37/6.50 fof(t2_subset,axiom,
% 6.37/6.50 ! [A,B] :
% 6.37/6.50 ( element(A,B)
% 6.37/6.50 => ( empty(B)
% 6.37/6.50 | in(A,B) ) ) ).
% 6.37/6.50
% 6.37/6.50 fof(t61_yellow_0,axiom,
% 6.37/6.50 ! [A] :
% 6.37/6.50 ( rel_str(A)
% 6.37/6.50 => ! [B] :
% 6.37/6.50 ( ( full_subrelstr(B,A)
% 6.37/6.50 & subrelstr(B,A) )
% 6.37/6.50 => ! [C] :
% 6.37/6.50 ( element(C,the_carrier(A))
% 6.37/6.50 => ! [D] :
% 6.37/6.50 ( element(D,the_carrier(A))
% 6.37/6.50 => ! [E] :
% 6.37/6.50 ( element(E,the_carrier(B))
% 6.37/6.50 => ! [F] :
% 6.37/6.50 ( element(F,the_carrier(B))
% 6.37/6.50 => ( ( E = C
% 6.37/6.50 & F = D
% 6.37/6.50 & related(A,C,D)
% 6.37/6.50 & in(E,the_carrier(B))
% 6.37/6.50 & in(F,the_carrier(B)) )
% 6.37/6.50 => related(B,E,F) ) ) ) ) ) ) ) ).
% 6.37/6.50
% 6.37/6.50 fof(t6_boole,axiom,
% 6.37/6.50 ! [A] :
% 6.37/6.50 ( empty(A)
% 6.37/6.50 => A = empty_set ) ).
% 6.37/6.50
% 6.37/6.50 fof(t7_boole,axiom,
% 6.37/6.50 ! [A,B] :
% 6.37/6.50 ~ ( in(A,B)
% 6.37/6.50 & empty(B) ) ).
% 6.37/6.50
% 6.37/6.50 fof(t8_boole,axiom,
% 6.37/6.50 ! [A,B] :
% 6.37/6.50 ~ ( empty(A)
% 6.37/6.50 & A != B
% 6.37/6.50 & empty(B) ) ).
% 6.37/6.50
% 6.37/6.50 %------------------------------------------------------------------------------
% 6.37/6.50 %-------------------------------------------
% 6.37/6.50 % Proof found
% 6.37/6.50 % SZS status Theorem for theBenchmark
% 6.37/6.50 % SZS output start Proof
% 6.37/6.50 %ClaNum:104(EqnAxiom:37)
% 6.37/6.50 %VarNum:131(SingletonVarNum:44)
% 6.37/6.50 %MaxLitNum:13
% 6.37/6.50 %MaxfuncDepth:1
% 6.37/6.50 %SharedTerms:62
% 6.37/6.50 %goalClause: 38 39 63 68 69 70 71 72 74 75 76 79 80 81
% 6.37/6.50 %singleGoalClaCount:14
% 6.37/6.50 [38]E(a1,a2)
% 6.37/6.50 [39]E(a13,a15)
% 6.37/6.50 [41]P1(a3)
% 6.47/6.50 [42]P1(a16)
% 6.47/6.50 [43]P1(a4)
% 6.47/6.50 [44]P3(a17)
% 6.47/6.50 [45]P3(a23)
% 6.47/6.50 [46]P3(a4)
% 6.47/6.50 [47]P3(a5)
% 6.47/6.50 [48]P3(a7)
% 6.47/6.50 [50]P7(a3)
% 6.47/6.50 [51]P7(a17)
% 6.47/6.50 [52]P7(a23)
% 6.47/6.50 [53]P7(a16)
% 6.47/6.50 [54]P7(a4)
% 6.47/6.50 [55]P7(a6)
% 6.47/6.50 [56]P7(a5)
% 6.47/6.50 [57]P7(a8)
% 6.47/6.50 [58]P7(a7)
% 6.47/6.50 [59]P8(a14)
% 6.47/6.50 [60]P9(a5)
% 6.47/6.50 [61]P10(a18)
% 6.47/6.50 [62]P10(a9)
% 6.47/6.50 [63]P10(a10)
% 6.47/6.50 [64]P14(a3)
% 6.47/6.50 [65]P14(a23)
% 6.47/6.50 [66]P14(a8)
% 6.47/6.50 [67]P14(a7)
% 6.47/6.50 [68]P11(a11,a10)
% 6.47/6.50 [74]P15(a12,a10,a11)
% 6.47/6.50 [75]P4(a12,a10,a11)
% 6.47/6.50 [76]P13(a11,a2,a13)
% 6.47/6.50 [77]~P1(a6)
% 6.47/6.50 [78]~P5(a9)
% 6.47/6.50 [79]~P5(a11)
% 6.47/6.50 [80]~P5(a12)
% 6.47/6.50 [81]~P13(a12,a1,a15)
% 6.47/6.50 [69]P2(a2,f24(a11))
% 6.47/6.50 [70]P2(a13,f24(a11))
% 6.47/6.50 [71]P2(a1,f24(a12))
% 6.47/6.50 [72]P2(a15,f24(a12))
% 6.47/6.50 [73]P2(f19(x731),x731)
% 6.47/6.50 [82]~P1(x821)+E(x821,a3)
% 6.47/6.50 [83]~P1(x831)+P3(x831)
% 6.47/6.50 [84]~P1(x841)+P7(x841)
% 6.47/6.50 [85]~P8(x851)+P10(x851)
% 6.47/6.50 [90]~P10(x901)+P11(f20(x901),x901)
% 6.47/6.50 [91]~P8(x911)+P17(f21(x911),x911)
% 6.47/6.50 [93]~P1(x931)+~P12(x932,x931)
% 6.47/6.50 [96]~P12(x961,x962)+P2(x961,x962)
% 6.47/6.50 [98]~P12(x982,x981)+~P12(x981,x982)
% 6.47/6.50 [88]~P8(x881)+~P5(x881)+P16(x881)
% 6.47/6.50 [92]~P10(x921)+P5(x921)+~P1(f24(x921))
% 6.47/6.50 [86]~P1(x862)+~P1(x861)+E(x861,x862)
% 6.47/6.50 [94]~P17(x941,x942)+P8(x941)+~P8(x942)
% 6.47/6.50 [95]~P11(x951,x952)+P8(x951)+~P10(x952)
% 6.47/6.50 [97]~P2(x972,x971)+P1(x971)+P12(x972,x971)
% 6.47/6.50 [99]~P10(x991)+~P11(x992,x991)+P15(f22(x991,x992),x991,x992)
% 6.47/6.50 [89]~P1(x891)+~P3(x891)+~P7(x891)+P9(x891)
% 6.47/6.50 [100]~P10(x1002)+~P15(x1001,x1002,x1003)+P11(x1001,x1002)+~P11(x1003,x1002)
% 6.47/6.50 [102]~P11(x1022,x1023)+~P15(x1021,x1023,x1022)+~P4(x1021,x1023,x1022)+P6(x1021,x1022)+~P10(x1023)
% 6.47/6.50 [103]~P11(x1032,x1033)+~P15(x1031,x1033,x1032)+~P4(x1031,x1033,x1032)+P17(x1031,x1032)+~P10(x1033)
% 6.47/6.50 [101]~P10(x1012)+~P11(x1013,x1012)+~P6(x1011,x1013)+~P17(x1011,x1013)+~P15(x1011,x1012,x1013)+P4(x1011,x1012,x1013)
% 6.47/6.50 [104]~P6(x1041,x1046)+~P17(x1041,x1046)+~P13(x1046,x1045,x1044)+P13(x1041,x1042,x1043)+~E(x1044,x1043)+~E(x1045,x1042)+~P8(x1046)+~P12(x1043,f24(x1041))+~P12(x1042,f24(x1041))+~P2(x1043,f24(x1041))+~P2(x1042,f24(x1041))+~P2(x1044,f24(x1046))+~P2(x1045,f24(x1046))
% 6.47/6.50 %EqnAxiom
% 6.47/6.50 [1]E(x11,x11)
% 6.47/6.50 [2]E(x22,x21)+~E(x21,x22)
% 6.47/6.50 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 6.47/6.50 [4]~E(x41,x42)+E(f24(x41),f24(x42))
% 6.47/6.50 [5]~E(x51,x52)+E(f22(x51,x53),f22(x52,x53))
% 6.47/6.50 [6]~E(x61,x62)+E(f22(x63,x61),f22(x63,x62))
% 6.47/6.50 [7]~E(x71,x72)+E(f21(x71),f21(x72))
% 6.47/6.50 [8]~E(x81,x82)+E(f20(x81),f20(x82))
% 6.47/6.50 [9]~E(x91,x92)+E(f19(x91),f19(x92))
% 6.47/6.50 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 6.47/6.50 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 6.47/6.50 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 6.47/6.50 [13]P11(x132,x133)+~E(x131,x132)+~P11(x131,x133)
% 6.47/6.50 [14]P11(x143,x142)+~E(x141,x142)+~P11(x143,x141)
% 6.47/6.50 [15]~P10(x151)+P10(x152)+~E(x151,x152)
% 6.47/6.50 [16]~P3(x161)+P3(x162)+~E(x161,x162)
% 6.47/6.50 [17]P15(x172,x173,x174)+~E(x171,x172)+~P15(x171,x173,x174)
% 6.47/6.50 [18]P15(x183,x182,x184)+~E(x181,x182)+~P15(x183,x181,x184)
% 6.47/6.50 [19]P15(x193,x194,x192)+~E(x191,x192)+~P15(x193,x194,x191)
% 6.47/6.50 [20]~P8(x201)+P8(x202)+~E(x201,x202)
% 6.47/6.50 [21]P17(x212,x213)+~E(x211,x212)+~P17(x211,x213)
% 6.47/6.50 [22]P17(x223,x222)+~E(x221,x222)+~P17(x223,x221)
% 6.47/6.50 [23]~P5(x231)+P5(x232)+~E(x231,x232)
% 6.47/6.50 [24]~P7(x241)+P7(x242)+~E(x241,x242)
% 6.47/6.50 [25]P13(x252,x253,x254)+~E(x251,x252)+~P13(x251,x253,x254)
% 6.47/6.50 [26]P13(x263,x262,x264)+~E(x261,x262)+~P13(x263,x261,x264)
% 6.47/6.50 [27]P13(x273,x274,x272)+~E(x271,x272)+~P13(x273,x274,x271)
% 6.47/6.50 [28]P12(x282,x283)+~E(x281,x282)+~P12(x281,x283)
% 6.47/6.50 [29]P12(x293,x292)+~E(x291,x292)+~P12(x293,x291)
% 6.47/6.50 [30]P4(x302,x303,x304)+~E(x301,x302)+~P4(x301,x303,x304)
% 6.47/6.50 [31]P4(x313,x312,x314)+~E(x311,x312)+~P4(x313,x311,x314)
% 6.47/6.50 [32]P4(x323,x324,x322)+~E(x321,x322)+~P4(x323,x324,x321)
% 6.47/6.50 [33]~P16(x331)+P16(x332)+~E(x331,x332)
% 6.47/6.50 [34]~P14(x341)+P14(x342)+~E(x341,x342)
% 6.47/6.50 [35]P6(x352,x353)+~E(x351,x352)+~P6(x351,x353)
% 6.47/6.50 [36]P6(x363,x362)+~E(x361,x362)+~P6(x363,x361)
% 6.47/6.50 [37]~P9(x371)+P9(x372)+~E(x371,x372)
% 6.47/6.50
% 6.47/6.50 %-------------------------------------------
% 6.47/6.50 cnf(105,plain,
% 6.47/6.50 (E(a2,a1)),
% 6.47/6.50 inference(scs_inference,[],[38,2])).
% 6.47/6.50 cnf(106,plain,
% 6.47/6.50 (~P12(x1061,a3)),
% 6.47/6.51 inference(scs_inference,[],[38,41,2,93])).
% 6.47/6.51 cnf(108,plain,
% 6.47/6.51 (P13(a11,a2,a15)),
% 6.47/6.51 inference(scs_inference,[],[38,39,76,41,2,93,27])).
% 6.47/6.51 cnf(109,plain,
% 6.47/6.51 (P13(a11,a1,a13)),
% 6.47/6.51 inference(scs_inference,[],[38,39,76,41,2,93,27,26])).
% 6.47/6.51 cnf(110,plain,
% 6.47/6.51 (P2(f19(a1),a2)),
% 6.47/6.51 inference(scs_inference,[],[38,39,76,41,73,2,93,27,26,12])).
% 6.47/6.51 cnf(111,plain,
% 6.47/6.51 (P2(f19(x1111),x1111)),
% 6.47/6.51 inference(rename_variables,[],[73])).
% 6.47/6.51 cnf(112,plain,
% 6.47/6.51 (P2(a1,f24(a11))),
% 6.47/6.51 inference(scs_inference,[],[38,39,76,41,69,73,2,93,27,26,12,11])).
% 6.47/6.51 cnf(113,plain,
% 6.47/6.51 (P12(f19(a6),a6)),
% 6.47/6.51 inference(scs_inference,[],[38,39,76,41,77,69,73,111,2,93,27,26,12,11,97])).
% 6.47/6.51 cnf(118,plain,
% 6.47/6.51 (P17(a12,a11)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,43,46,54,77,69,73,111,2,93,27,26,12,11,97,89,103])).
% 6.47/6.51 cnf(120,plain,
% 6.47/6.51 (P6(a12,a11)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,43,46,54,77,69,73,111,2,93,27,26,12,11,97,89,103,102])).
% 6.47/6.51 cnf(122,plain,
% 6.47/6.51 (~P12(a6,f19(a6))),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,43,46,54,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98])).
% 6.47/6.51 cnf(124,plain,
% 6.47/6.51 (P10(a14)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,43,46,54,59,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85])).
% 6.47/6.51 cnf(126,plain,
% 6.47/6.51 (P3(a3)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,43,46,54,59,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83])).
% 6.47/6.51 cnf(128,plain,
% 6.47/6.51 (E(a16,a3)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82])).
% 6.47/6.51 cnf(130,plain,
% 6.47/6.51 (P17(f21(a14),a14)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91])).
% 6.47/6.51 cnf(132,plain,
% 6.47/6.51 (P11(f20(a10),a10)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90])).
% 6.47/6.51 cnf(136,plain,
% 6.47/6.51 (E(f21(a1),f21(a2))),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7])).
% 6.47/6.51 cnf(137,plain,
% 6.47/6.51 (E(f22(x1371,a1),f22(x1371,a2))),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7,6])).
% 6.47/6.51 cnf(138,plain,
% 6.47/6.51 (E(f22(a1,x1381),f22(a2,x1381))),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7,6,5])).
% 6.47/6.51 cnf(141,plain,
% 6.47/6.51 (~P12(x1411,a16)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,60,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7,6,5,4,37,29])).
% 6.47/6.51 cnf(142,plain,
% 6.47/6.51 (~E(a3,a6)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,60,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7,6,5,4,37,29,10])).
% 6.47/6.51 cnf(143,plain,
% 6.47/6.51 (P8(a11)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,60,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7,6,5,4,37,29,10,95])).
% 6.47/6.51 cnf(145,plain,
% 6.47/6.51 (P8(f21(a14))),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,60,77,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7,6,5,4,37,29,10,95,94])).
% 6.47/6.51 cnf(147,plain,
% 6.47/6.51 (~P1(f24(a9))),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,60,62,77,78,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7,6,5,4,37,29,10,95,94,92])).
% 6.47/6.51 cnf(149,plain,
% 6.47/6.51 (P15(f22(a10,a11),a10,a11)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,60,62,77,78,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7,6,5,4,37,29,10,95,94,92,99])).
% 6.47/6.51 cnf(151,plain,
% 6.47/6.51 (P11(a12,a10)),
% 6.47/6.51 inference(scs_inference,[],[38,39,63,68,74,75,76,41,42,43,46,54,59,60,62,77,78,69,73,111,2,93,27,26,12,11,97,89,103,102,98,85,83,82,91,90,9,8,7,6,5,4,37,29,10,95,94,92,99,100])).
% 6.47/6.51 cnf(171,plain,
% 6.47/6.51 (P8(f20(a10))),
% 6.47/6.51 inference(scs_inference,[],[63,132,95])).
% 6.47/6.51 cnf(173,plain,
% 6.47/6.51 (P8(a12)),
% 6.47/6.51 inference(scs_inference,[],[63,132,118,143,95,94])).
% 6.47/6.51 cnf(175,plain,
% 6.47/6.51 (P15(f22(a10,f20(a10)),a10,f20(a10))),
% 6.47/6.51 inference(scs_inference,[],[63,132,118,143,95,94,99])).
% 6.47/6.51 cnf(179,plain,
% 6.47/6.51 (~E(a6,a3)),
% 6.47/6.51 inference(scs_inference,[],[50,41,63,132,118,126,142,143,95,94,99,89,2])).
% 6.47/6.51 cnf(181,plain,
% 6.47/6.51 (~P13(a12,a2,a15)),
% 6.47/6.51 inference(scs_inference,[],[81,50,39,41,63,132,105,118,126,142,143,95,94,99,89,2,27,26])).
% 6.47/6.51 cnf(182,plain,
% 6.47/6.51 (~E(a11,a12)),
% 6.47/6.51 inference(scs_inference,[],[81,50,39,41,63,132,105,108,118,126,142,143,95,94,99,89,2,27,26,25])).
% 6.47/6.51 cnf(184,plain,
% 6.47/6.51 (E(f22(a1,a1),f22(a2,a2))),
% 6.47/6.51 inference(scs_inference,[],[81,50,42,77,39,41,63,137,138,132,105,108,118,126,142,143,95,94,99,89,2,27,26,25,10,3])).
% 6.47/6.51 cnf(187,plain,
% 6.47/6.51 (~E(a3,x1871)+P14(x1871)),
% 6.47/6.51 inference(scs_inference,[],[81,50,64,42,77,39,41,63,137,138,132,105,108,118,126,142,143,95,94,99,89,2,27,26,25,10,3,34])).
% 6.47/6.51 cnf(188,plain,
% 6.47/6.51 (P11(f22(a10,a11),a10)),
% 6.47/6.51 inference(scs_inference,[],[81,50,64,42,77,39,41,68,63,137,138,132,149,105,108,118,126,142,143,95,94,99,89,2,27,26,25,10,3,34,100])).
% 6.47/6.51 cnf(208,plain,
% 6.47/6.51 (E(a15,a13)),
% 6.47/6.51 inference(scs_inference,[],[39,2])).
% 6.47/6.51 cnf(214,plain,
% 6.47/6.51 (P17(x2141,x2142)+~P4(x2141,a18,x2142)+~P11(x2142,a18)+~P15(x2141,a18,x2142)),
% 6.47/6.51 inference(scs_inference,[],[39,61,74,179,128,122,130,2,3,28,21,19,17,103])).
% 6.47/6.51 cnf(216,plain,
% 6.47/6.51 (P6(x2161,x2162)+~P4(x2161,a18,x2162)+~P11(x2162,a18)+~P15(x2161,a18,x2162)),
% 6.47/6.51 inference(scs_inference,[],[39,61,74,179,128,122,130,2,3,28,21,19,17,103,102])).
% 6.47/6.51 cnf(222,plain,
% 6.47/6.51 (~E(a12,a11)),
% 6.47/6.51 inference(scs_inference,[],[182,2])).
% 6.47/6.51 cnf(230,plain,
% 6.47/6.51 (E(f22(a2,a2),f22(a1,a1))),
% 6.47/6.51 inference(scs_inference,[],[184,2])).
% 6.47/6.51 cnf(232,plain,
% 6.47/6.51 (P10(f21(a14))),
% 6.47/6.51 inference(scs_inference,[],[44,184,145,2,16,85])).
% 6.47/6.51 cnf(234,plain,
% 6.47/6.51 (P3(a16)),
% 6.47/6.51 inference(scs_inference,[],[44,42,184,145,2,16,85,83])).
% 6.47/6.51 cnf(236,plain,
% 6.47/6.51 (P17(f21(f21(a14)),f21(a14))),
% 6.47/6.51 inference(scs_inference,[],[44,42,184,145,2,16,85,83,91])).
% 6.47/6.51 cnf(238,plain,
% 6.47/6.51 (P11(f20(a9),a9)),
% 6.47/6.51 inference(scs_inference,[],[44,62,42,184,145,2,16,85,83,91,90])).
% 6.47/6.51 cnf(257,plain,
% 6.47/6.51 (E(f22(a2,x2571),f22(a1,x2571))),
% 6.47/6.51 inference(scs_inference,[],[105,9,5])).
% 6.47/6.51 cnf(264,plain,
% 6.47/6.51 (~P12(f24(a9),f19(f24(a9)))),
% 6.47/6.51 inference(scs_inference,[],[63,105,73,230,147,138,9,5,97,3,15,98])).
% 6.47/6.51 cnf(266,plain,
% 6.47/6.51 (E(a4,a3)),
% 6.47/6.51 inference(scs_inference,[],[63,43,105,73,230,147,138,9,5,97,3,15,98,82])).
% 6.47/6.51 cnf(270,plain,
% 6.47/6.51 (E(f22(x2701,a2),f22(x2701,a1))),
% 6.47/6.51 inference(scs_inference,[],[63,43,105,73,230,147,138,9,5,97,3,15,98,82,8,7,6])).
% 6.47/6.51 cnf(272,plain,
% 6.47/6.51 (~E(f24(a9),a3)),
% 6.47/6.51 inference(scs_inference,[],[63,106,43,105,73,230,147,138,9,5,97,3,15,98,82,8,7,6,4,29])).
% 6.47/6.51 cnf(283,plain,
% 6.47/6.51 (P11(x2831,a18)+~E(a10,a12)+~P11(x2832,a18)+~P11(a2,a18)+~P15(x2831,a18,x2832)),
% 6.47/6.51 inference(scs_inference,[],[63,80,106,43,105,61,73,230,147,138,9,5,97,3,15,98,82,8,7,6,4,29,92,2,95,93,37,20,100])).
% 6.47/6.51 cnf(289,plain,
% 6.47/6.51 (P8(f20(a9))),
% 6.47/6.51 inference(scs_inference,[],[62,238,95])).
% 6.47/6.51 cnf(292,plain,
% 6.47/6.51 (~P12(x2921,a4)),
% 6.47/6.51 inference(scs_inference,[],[108,106,62,105,238,266,95,26,29])).
% 6.47/6.51 cnf(293,plain,
% 6.47/6.51 (~E(f24(a9),a4)),
% 6.47/6.51 inference(scs_inference,[],[108,106,62,105,238,272,266,95,26,29,3])).
% 6.47/6.51 cnf(294,plain,
% 6.47/6.51 (E(a3,a4)),
% 6.47/6.51 inference(scs_inference,[],[108,106,62,105,238,272,266,95,26,29,3,2])).
% 6.47/6.51 cnf(298,plain,
% 6.47/6.51 (P15(f22(a9,f20(a9)),a9,f20(a9))),
% 6.47/6.51 inference(scs_inference,[],[51,108,106,62,105,236,238,272,266,145,95,26,29,3,2,24,94,99])).
% 6.47/6.51 cnf(320,plain,
% 6.47/6.51 (E(f22(a2,a1),f22(a1,a2))),
% 6.47/6.51 inference(scs_inference,[],[77,43,292,257,113,137,10,29,3])).
% 6.47/6.51 cnf(323,plain,
% 6.47/6.51 (~E(a4,f24(a9))),
% 6.47/6.51 inference(scs_inference,[],[77,43,292,293,257,113,137,10,29,3,2])).
% 6.47/6.51 cnf(327,plain,
% 6.47/6.51 (P2(f19(a3),a4)),
% 6.47/6.51 inference(scs_inference,[],[77,43,73,292,293,294,222,257,181,113,137,39,10,29,3,2,86,27,12])).
% 6.47/6.51 cnf(336,plain,
% 6.47/6.51 (~P17(a2,x3361)+P17(a1,x3361)+P15(a1,x3362,a1)),
% 6.47/6.51 inference(scs_inference,[],[77,72,43,73,59,105,292,293,294,222,257,181,113,137,208,39,10,29,3,2,86,27,12,11,88,15,19,17,30,21])).
% 6.47/6.51 cnf(351,plain,
% 6.47/6.51 (P11(f22(a9,f20(a9)),a9)),
% 6.47/6.51 inference(scs_inference,[],[62,298,238,100])).
% 6.47/6.51 cnf(356,plain,
% 6.47/6.51 (P17(f21(f20(a10)),f20(a10))),
% 6.47/6.51 inference(scs_inference,[],[42,62,298,320,171,147,272,128,238,100,10,3,2,91])).
% 6.47/6.51 cnf(358,plain,
% 6.47/6.51 (P11(f20(a18),a18)),
% 6.47/6.51 inference(scs_inference,[],[42,61,62,298,320,171,147,272,128,238,100,10,3,2,91,90])).
% 6.47/6.51 cnf(382,plain,
% 6.47/6.51 (E(f19(a3),f19(a4))),
% 6.47/6.51 inference(scs_inference,[],[53,42,323,234,175,294,266,132,63,100,89,3,9])).
% 6.47/6.51 cnf(385,plain,
% 6.47/6.51 (P13(a1,a1,x3851)+P6(x3852,f20(a18))+~P15(x3852,a18,f20(a18))+~P4(x3852,a18,f20(a18))),
% 6.47/6.51 inference(scs_inference,[],[53,42,105,323,358,234,175,294,266,132,63,100,89,3,9,25,26,216])).
% 6.47/6.51 cnf(395,plain,
% 6.47/6.51 (E(a16,a4)),
% 6.47/6.51 inference(scs_inference,[],[128,294,3])).
% 6.47/6.51 cnf(397,plain,
% 6.47/6.51 (P8(f20(a18))),
% 6.47/6.51 inference(scs_inference,[],[61,128,358,294,3,15,95])).
% 6.47/6.51 cnf(399,plain,
% 6.47/6.51 (E(f20(a16),f20(a3))),
% 6.47/6.51 inference(scs_inference,[],[61,128,358,294,3,15,95,8])).
% 6.47/6.51 cnf(401,plain,
% 6.47/6.51 (E(f22(x4011,a16),f22(x4011,a3))),
% 6.47/6.51 inference(scs_inference,[],[61,128,358,294,3,15,95,8,7,6])).
% 6.47/6.51 cnf(417,plain,
% 6.47/6.51 (P8(f22(a10,a11))),
% 6.47/6.51 inference(scs_inference,[],[188,63,95])).
% 6.47/6.51 cnf(419,plain,
% 6.47/6.51 (E(f22(a2,a16),f22(a1,a3))),
% 6.47/6.51 inference(scs_inference,[],[401,188,257,63,95,3])).
% 6.47/6.51 cnf(430,plain,
% 6.47/6.51 (P11(x4301,a18)+~P12(f24(x4302),f19(f24(a9)))+~P15(x4301,a18,f20(a18))+~E(f21(f20(a10)),a2)),
% 6.47/6.51 inference(scs_inference,[],[55,61,105,401,289,264,188,356,257,358,63,95,3,21,336,24,28,4,34,94,100])).
% 6.47/6.51 cnf(436,plain,
% 6.47/6.51 (E(f24(a16),f24(a4))),
% 6.47/6.51 inference(scs_inference,[],[395,4])).
% 6.47/6.51 cnf(437,plain,
% 6.47/6.51 (P11(f20(a14),a14)),
% 6.47/6.51 inference(scs_inference,[],[124,395,4,90])).
% 6.47/6.51 cnf(439,plain,
% 6.47/6.51 (P17(f21(f22(a10,a11)),f22(a10,a11))),
% 6.47/6.51 inference(scs_inference,[],[417,124,395,4,90,91])).
% 6.47/6.51 cnf(441,plain,
% 6.47/6.51 (P10(f22(a10,a11))),
% 6.47/6.51 inference(scs_inference,[],[417,124,395,4,90,91,85])).
% 6.47/6.51 cnf(444,plain,
% 6.47/6.51 (P15(f22(a10,a12),a10,a12)),
% 6.47/6.51 inference(scs_inference,[],[417,399,124,151,395,63,4,90,91,85,15,99])).
% 6.47/6.51 cnf(446,plain,
% 6.47/6.51 (P8(f21(f20(a10)))),
% 6.47/6.51 inference(scs_inference,[],[417,399,124,151,395,171,356,63,4,90,91,85,15,99,94])).
% 6.47/6.51 cnf(455,plain,
% 6.47/6.51 (P1(f24(a12))+~P12(a15,f24(a12))),
% 6.47/6.51 inference(scs_inference,[],[71,112,109,81,72,75,73,105,417,399,124,151,382,395,171,356,143,70,118,120,39,63,4,90,91,85,15,99,94,11,30,13,104,37,97])).
% 6.47/6.51 cnf(466,plain,
% 6.47/6.51 (E(f19(a16),f19(a4))),
% 6.47/6.51 inference(scs_inference,[],[395,9])).
% 6.47/6.51 cnf(468,plain,
% 6.47/6.51 (P15(f22(a18,f20(a18)),a18,f20(a18))),
% 6.47/6.51 inference(scs_inference,[],[61,436,395,358,9,22,99])).
% 6.47/6.51 cnf(470,plain,
% 6.47/6.51 (P2(f19(f24(a16)),f24(a4))),
% 6.47/6.51 inference(scs_inference,[],[73,61,436,395,358,9,22,99,12])).
% 6.47/6.51 cnf(471,plain,
% 6.47/6.51 (P2(f19(x4711),x4711)),
% 6.47/6.51 inference(rename_variables,[],[73])).
% 6.47/6.51 cnf(472,plain,
% 6.47/6.51 (P2(f19(a4),a16)),
% 6.47/6.51 inference(scs_inference,[],[73,471,61,436,395,358,9,22,99,12,11])).
% 6.47/6.51 cnf(481,plain,
% 6.47/6.51 (~P10(a11)+~P1(f24(a11))),
% 6.47/6.51 inference(scs_inference,[],[71,79,73,471,61,105,436,437,395,69,143,358,118,120,9,22,99,12,11,2,24,20,19,14,104,92])).
% 6.47/6.51 cnf(485,plain,
% 6.47/6.51 (E(f22(a16,x4851),f22(a4,x4851))),
% 6.47/6.51 inference(scs_inference,[],[395,5])).
% 6.47/6.51 cnf(486,plain,
% 6.47/6.51 (P11(f22(a10,a12),a10)),
% 6.47/6.51 inference(scs_inference,[],[444,151,395,63,5,100])).
% 6.47/6.51 cnf(490,plain,
% 6.47/6.51 (E(f22(a16,a2),f22(a4,a1))),
% 6.47/6.51 inference(scs_inference,[],[61,468,444,270,151,395,358,63,5,100,103,3])).
% 6.47/6.51 cnf(499,plain,
% 6.47/6.51 (E(f22(x4991,a16),f22(x4991,a4))),
% 6.47/6.51 inference(scs_inference,[],[61,446,468,444,270,151,395,358,63,5,100,103,3,430,385,88,7,6])).
% 6.47/6.51 cnf(504,plain,
% 6.47/6.51 (E(f20(a15),f20(a13))),
% 6.47/6.51 inference(scs_inference,[],[208,8])).
% 6.47/6.51 cnf(505,plain,
% 6.47/6.51 (P11(f22(a18,f20(a18)),a18)),
% 6.47/6.51 inference(scs_inference,[],[61,468,208,358,8,100])).
% 6.47/6.51 cnf(509,plain,
% 6.47/6.51 (P8(f22(a9,f20(a9)))),
% 6.47/6.51 inference(scs_inference,[],[62,61,351,468,208,358,8,100,216,95])).
% 6.47/6.51 cnf(528,plain,
% 6.47/6.51 (P17(f21(f20(a18)),f20(a18))),
% 6.47/6.51 inference(scs_inference,[],[61,505,397,95,91])).
% 6.47/6.51 cnf(530,plain,
% 6.47/6.51 (P11(f20(f22(a10,a11)),f22(a10,a11))),
% 6.47/6.51 inference(scs_inference,[],[61,441,505,397,95,91,90])).
% 6.47/6.51 cnf(532,plain,
% 6.47/6.51 (P10(f22(a9,f20(a9)))),
% 6.47/6.51 inference(scs_inference,[],[61,441,509,505,397,95,91,90,85])).
% 6.47/6.51 cnf(548,plain,
% 6.47/6.51 (E(f19(a4),f19(a3))),
% 6.47/6.51 inference(scs_inference,[],[504,266,25,9])).
% 6.47/6.51 cnf(568,plain,
% 6.47/6.51 (E(f22(a15,x5681),f22(a13,x5681))),
% 6.47/6.51 inference(scs_inference,[],[48,58,208,89,5])).
% 6.47/6.51 cnf(586,plain,
% 6.47/6.51 (~P10(a12)+~P1(f24(a12))),
% 6.47/6.51 inference(scs_inference,[],[48,58,110,78,80,118,105,548,472,466,437,444,124,208,89,5,99,100,11,3,7,6,23,19,14,34,16,97,27,21,92])).
% 6.47/6.51 cnf(592,plain,
% 6.47/6.51 (E(f22(a13,x5921),f22(a15,x5921))),
% 6.47/6.51 inference(scs_inference,[],[568,2])).
% 6.47/6.51 cnf(609,plain,
% 6.47/6.51 (P17(f21(f20(a9)),f20(a9))),
% 6.47/6.51 inference(scs_inference,[],[289,91])).
% 6.47/6.51 cnf(611,plain,
% 6.47/6.51 (P11(f20(f21(a14)),f21(a14))),
% 6.47/6.51 inference(scs_inference,[],[232,289,91,90])).
% 6.47/6.51 cnf(617,plain,
% 6.47/6.51 (E(f24(a4),f24(a3))),
% 6.47/6.51 inference(scs_inference,[],[532,446,232,289,266,91,90,85,95,4])).
% 6.47/6.51 cnf(640,plain,
% 6.47/6.51 (~E(f19(a6),a6)),
% 6.47/6.51 inference(scs_inference,[],[113,470,611,617,232,122,208,95,12,9,28,29,2])).
% 6.47/6.51 cnf(645,plain,
% 6.47/6.51 (P8(f21(f20(a18)))),
% 6.47/6.51 inference(scs_inference,[],[528,397,94])).
% 6.47/6.51 cnf(670,plain,
% 6.47/6.51 (E(f22(x6701,a4),f22(x6701,a3))),
% 6.47/6.51 inference(scs_inference,[],[266,6])).
% 6.47/6.51 cnf(673,plain,
% 6.47/6.51 (P8(f21(f20(a9)))),
% 6.47/6.51 inference(scs_inference,[],[640,609,289,266,75,6,2,31,94])).
% 6.47/6.51 cnf(691,plain,
% 6.47/6.51 (E(f22(x6911,a3),f22(x6911,a4))),
% 6.47/6.51 inference(scs_inference,[],[670,2])).
% 6.47/6.51 cnf(699,plain,
% 6.47/6.51 (E(f22(a13,a16),f22(a15,a4))),
% 6.47/6.51 inference(scs_inference,[],[645,670,499,173,592,444,151,128,63,2,85,91,102,4,3])).
% 6.47/6.51 cnf(724,plain,
% 6.47/6.51 (E(f22(a2,a16),f22(a1,a4))),
% 6.47/6.51 inference(scs_inference,[],[105,419,530,691,441,95,36,3])).
% 6.47/6.51 cnf(744,plain,
% 6.47/6.51 (E(f22(a16,x7441),f22(a3,x7441))),
% 6.47/6.51 inference(scs_inference,[],[44,51,124,105,724,175,132,128,294,63,103,89,37,21,15,7,5])).
% 6.47/6.51 cnf(748,plain,
% 6.47/6.51 (P1(f24(a11))+P12(a1,f24(a11))),
% 6.47/6.51 inference(scs_inference,[],[44,51,122,112,124,105,724,611,175,232,132,128,294,63,103,89,37,21,15,7,5,100,29,97])).
% 6.47/6.51 cnf(755,plain,
% 6.47/6.51 (P8(f21(f22(a10,a11)))),
% 6.47/6.51 inference(scs_inference,[],[439,417,94])).
% 6.47/6.51 cnf(759,plain,
% 6.47/6.51 (E(f22(x7591,a13),f22(x7591,a15))),
% 6.47/6.51 inference(scs_inference,[],[439,417,298,294,39,94,17,8,6])).
% 6.47/6.51 cnf(762,plain,
% 6.47/6.51 (E(a3,a16)),
% 6.47/6.51 inference(scs_inference,[],[128,73,439,417,298,294,39,94,17,8,6,12,2])).
% 6.47/6.51 cnf(763,plain,
% 6.47/6.51 (P17(f21(a11),a11)),
% 6.47/6.51 inference(scs_inference,[],[128,73,439,417,298,294,143,39,94,17,8,6,12,2,91])).
% 6.47/6.51 cnf(782,plain,
% 6.47/6.51 (E(f19(a3),f19(a16))),
% 6.47/6.51 inference(scs_inference,[],[762,187,9])).
% 6.47/6.51 cnf(786,plain,
% 6.47/6.51 (P8(f21(a11))),
% 6.47/6.51 inference(scs_inference,[],[763,762,175,132,143,63,187,9,4,102,94])).
% 6.47/6.51 cnf(798,plain,
% 6.47/6.51 (E(f22(a16,a13),f22(a3,a15))),
% 6.47/6.51 inference(scs_inference,[],[73,782,744,759,327,530,12,13,11,3])).
% 6.47/6.51 cnf(818,plain,
% 6.47/6.51 (P11(f22(a10,f22(a10,a11)),a10)),
% 6.47/6.51 inference(scs_inference,[],[124,188,437,63,99,95,100])).
% 6.47/6.51 cnf(845,plain,
% 6.47/6.51 (P17(f21(f21(a11)),f21(a11))),
% 6.47/6.51 inference(scs_inference,[],[755,786,818,798,744,499,63,95,2,3,85,91])).
% 6.47/6.51 cnf(863,plain,
% 6.47/6.51 (E(f22(x8631,a3),f22(x8631,a16))),
% 6.47/6.51 inference(scs_inference,[],[762,8,6])).
% 6.47/6.51 cnf(882,plain,
% 6.47/6.51 (P8(f21(f21(a11)))),
% 6.47/6.51 inference(scs_inference,[],[845,786,94])).
% 6.47/6.51 cnf(900,plain,
% 6.47/6.51 (E(f22(a13,a3),f22(a15,a4))),
% 6.47/6.51 inference(scs_inference,[],[863,699,3])).
% 6.47/6.51 cnf(939,plain,
% 6.47/6.51 (E(f22(a4,x9391),f22(a3,x9391))),
% 6.47/6.51 inference(scs_inference,[],[266,5])).
% 6.47/6.51 cnf(977,plain,
% 6.47/6.51 (E(f22(a3,x9771),f22(a4,x9771))),
% 6.47/6.51 inference(scs_inference,[],[939,2])).
% 6.47/6.51 cnf(999,plain,
% 6.47/6.51 (P10(f21(f20(a9)))),
% 6.47/6.51 inference(scs_inference,[],[137,673,977,3,85])).
% 6.47/6.51 cnf(1070,plain,
% 6.47/6.51 (P8(f22(a10,a12))),
% 6.47/6.51 inference(scs_inference,[],[486,63,95])).
% 6.47/6.51 cnf(1074,plain,
% 6.47/6.51 (P17(f21(f22(a10,a12)),f22(a10,a12))),
% 6.47/6.51 inference(scs_inference,[],[882,486,63,95,85,91])).
% 6.47/6.51 cnf(1201,plain,
% 6.47/6.51 (E(f22(a16,a1),f22(a4,a2))),
% 6.47/6.51 inference(scs_inference,[],[137,485,3])).
% 6.47/6.51 cnf(1218,plain,
% 6.47/6.51 (P10(a11)),
% 6.47/6.51 inference(scs_inference,[],[138,143,401,3,85])).
% 6.47/6.51 cnf(1220,plain,
% 6.47/6.51 (~P11(x12201,a11)+P15(f22(a11,x12201),a11,x12201)),
% 6.47/6.51 inference(scs_inference,[],[138,143,401,3,85,99])).
% 6.47/6.51 cnf(1243,plain,
% 6.47/6.51 (~P1(f24(a11))),
% 6.47/6.51 inference(scs_inference,[],[1218,481])).
% 6.47/6.51 cnf(1246,plain,
% 6.47/6.51 (P11(f22(a10,f22(a10,a12)),a10)),
% 6.47/6.51 inference(scs_inference,[],[486,63,99,100])).
% 6.47/6.51 cnf(1270,plain,
% 6.47/6.51 (P12(a1,f24(a11))),
% 6.47/6.51 inference(scs_inference,[],[1243,748])).
% 6.47/6.51 cnf(1292,plain,
% 6.47/6.51 (P12(a2,f24(a11))),
% 6.47/6.51 inference(scs_inference,[],[1270,38,98,28])).
% 6.47/6.51 cnf(1294,plain,
% 6.47/6.51 (E(f22(a4,a2),f22(a16,a1))),
% 6.47/6.51 inference(scs_inference,[],[105,1270,1201,38,98,28,29,2])).
% 6.47/6.51 cnf(1319,plain,
% 6.47/6.51 (E(f22(a4,a2),f22(a16,a2))),
% 6.47/6.51 inference(scs_inference,[],[141,137,1294,1292,1246,63,95,29,3])).
% 6.47/6.51 cnf(1321,plain,
% 6.47/6.51 (P11(f20(a11),a11)),
% 6.47/6.51 inference(scs_inference,[],[141,137,1294,1292,1246,1218,63,95,29,3,90])).
% 6.47/6.51 cnf(1345,plain,
% 6.47/6.51 (P11(f22(a11,f20(a11)),a11)),
% 6.47/6.51 inference(scs_inference,[],[1321,1218,1220,100])).
% 6.47/6.51 cnf(1364,plain,
% 6.47/6.51 (P2(f19(f22(a4,a2)),f22(a16,a2))),
% 6.47/6.51 inference(scs_inference,[],[73,1319,12])).
% 6.47/6.51 cnf(1404,plain,
% 6.47/6.51 (E(f22(a4,a1),f22(a16,a1))),
% 6.47/6.51 inference(scs_inference,[],[137,1364,900,1294,490,12,2,3])).
% 6.47/6.51 cnf(1406,plain,
% 6.47/6.51 (P10(f20(a10))),
% 6.47/6.51 inference(scs_inference,[],[171,137,1364,900,1294,490,12,2,3,85])).
% 6.47/6.51 cnf(1421,plain,
% 6.47/6.51 (~P11(x14211,f20(a10))+~P15(a12,f20(a10),x14211)+P15(f22(f20(a10),a12),f20(a10),a12)),
% 6.47/6.51 inference(scs_inference,[],[171,151,137,1364,1345,900,1294,490,1218,505,12,2,3,85,99,95,14,86,283,214,102,100])).
% 6.47/6.51 cnf(1436,plain,
% 6.47/6.51 (P8(f20(a11))),
% 6.47/6.51 inference(scs_inference,[],[136,138,999,1406,1246,1321,1074,1070,1218,63,90,94,1421,26,35,101,100,10,95])).
% 6.47/6.51 cnf(1448,plain,
% 6.47/6.51 (E(f22(a16,a1),f22(a3,a2))),
% 6.47/6.51 inference(scs_inference,[],[149,137,73,1436,1404,744,68,63,91,12,103,94,3])).
% 6.47/6.51 cnf(1480,plain,
% 6.47/6.51 (P10(a12)),
% 6.47/6.51 inference(scs_inference,[],[173,1448,2,85])).
% 6.47/6.51 cnf(1502,plain,
% 6.47/6.51 (~P1(f24(a12))),
% 6.47/6.51 inference(scs_inference,[],[1480,586])).
% 6.47/6.51 cnf(1526,plain,
% 6.47/6.51 (~P12(a15,f24(a12))),
% 6.47/6.51 inference(scs_inference,[],[1502,455])).
% 6.47/6.51 cnf(1560,plain,
% 6.47/6.51 ($false),
% 6.47/6.51 inference(scs_inference,[],[1526,1502,72,39,28,97]),
% 6.47/6.51 ['proof']).
% 6.47/6.51 % SZS output end Proof
% 6.47/6.51 % Total time :5.860000s
%------------------------------------------------------------------------------