TSTP Solution File: SEU362+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 16:19:28 EDT 2023
% Result : Theorem 1.05s 1.10s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.37 % Computer : n005.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Aug 23 13:26:39 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.58 start to proof:theBenchmark
% 1.05/1.09 %-------------------------------------------
% 1.05/1.09 % File :CSE---1.6
% 1.05/1.09 % Problem :theBenchmark
% 1.05/1.09 % Transform :cnf
% 1.05/1.09 % Format :tptp:raw
% 1.05/1.09 % Command :java -jar mcs_scs.jar %d %s
% 1.05/1.09
% 1.05/1.09 % Result :Theorem 0.450000s
% 1.05/1.09 % Output :CNFRefutation 0.450000s
% 1.05/1.09 %-------------------------------------------
% 1.05/1.09 %------------------------------------------------------------------------------
% 1.05/1.09 % File : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 1.05/1.09 % Domain : Set theory
% 1.05/1.09 % Problem : MPTP bushy problem t60_yellow_0
% 1.05/1.09 % Version : [Urb07] axioms : Especial.
% 1.05/1.09 % English :
% 1.05/1.09
% 1.05/1.09 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 1.05/1.09 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 1.05/1.09 % Source : [Urb07]
% 1.05/1.09 % Names : bushy-t60_yellow_0 [Urb07]
% 1.05/1.09
% 1.05/1.09 % Status : Theorem
% 1.05/1.09 % Rating : 0.28 v7.5.0, 0.31 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.30 v7.0.0, 0.23 v6.4.0, 0.31 v6.3.0, 0.38 v6.2.0, 0.40 v6.1.0, 0.47 v6.0.0, 0.26 v5.5.0, 0.41 v5.4.0, 0.43 v5.3.0, 0.52 v5.2.0, 0.40 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.48 v4.0.1, 0.52 v4.0.0, 0.54 v3.7.0, 0.55 v3.5.0, 0.58 v3.4.0, 0.53 v3.3.0
% 1.05/1.09 % Syntax : Number of formulae : 42 ( 17 unt; 0 def)
% 1.05/1.09 % Number of atoms : 92 ( 4 equ)
% 1.05/1.09 % Maximal formula atoms : 10 ( 2 avg)
% 1.05/1.09 % Number of connectives : 61 ( 11 ~; 1 |; 15 &)
% 1.05/1.09 % ( 4 <=>; 30 =>; 0 <=; 0 <~>)
% 1.05/1.09 % Maximal formula depth : 16 ( 4 avg)
% 1.05/1.09 % Maximal term depth : 3 ( 1 avg)
% 1.05/1.09 % Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% 1.05/1.09 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% 1.05/1.09 % Number of variables : 69 ( 58 !; 11 ?)
% 1.05/1.09 % SPC : FOF_THM_RFO_SEQ
% 1.05/1.10
% 1.05/1.10 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 1.05/1.10 % library, www.mizar.org
% 1.05/1.10 %------------------------------------------------------------------------------
% 1.05/1.10 fof(antisymmetry_r2_hidden,axiom,
% 1.05/1.10 ! [A,B] :
% 1.05/1.10 ( in(A,B)
% 1.05/1.10 => ~ in(B,A) ) ).
% 1.05/1.10
% 1.05/1.10 fof(cc1_finset_1,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( empty(A)
% 1.05/1.10 => finite(A) ) ).
% 1.05/1.10
% 1.05/1.10 fof(cc1_relset_1,axiom,
% 1.05/1.10 ! [A,B,C] :
% 1.05/1.10 ( element(C,powerset(cartesian_product2(A,B)))
% 1.05/1.10 => relation(C) ) ).
% 1.05/1.10
% 1.05/1.10 fof(cc2_finset_1,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( finite(A)
% 1.05/1.10 => ! [B] :
% 1.05/1.10 ( element(B,powerset(A))
% 1.05/1.10 => finite(B) ) ) ).
% 1.05/1.10
% 1.05/1.10 fof(d13_yellow_0,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( rel_str(A)
% 1.05/1.10 => ! [B] :
% 1.05/1.10 ( rel_str(B)
% 1.05/1.10 => ( subrelstr(B,A)
% 1.05/1.10 <=> ( subset(the_carrier(B),the_carrier(A))
% 1.05/1.10 & subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) ) ).
% 1.05/1.10
% 1.05/1.10 fof(d9_orders_2,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( rel_str(A)
% 1.05/1.10 => ! [B] :
% 1.05/1.10 ( element(B,the_carrier(A))
% 1.05/1.10 => ! [C] :
% 1.05/1.10 ( element(C,the_carrier(A))
% 1.05/1.10 => ( related(A,B,C)
% 1.05/1.10 <=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) ) ) ).
% 1.05/1.10
% 1.05/1.10 fof(dt_k1_xboole_0,axiom,
% 1.05/1.10 $true ).
% 1.05/1.10
% 1.05/1.10 fof(dt_k1_zfmisc_1,axiom,
% 1.05/1.10 $true ).
% 1.05/1.10
% 1.05/1.10 fof(dt_k2_zfmisc_1,axiom,
% 1.05/1.10 $true ).
% 1.05/1.10
% 1.05/1.10 fof(dt_k4_tarski,axiom,
% 1.05/1.10 $true ).
% 1.05/1.10
% 1.05/1.10 fof(dt_l1_orders_2,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( rel_str(A)
% 1.05/1.10 => one_sorted_str(A) ) ).
% 1.05/1.10
% 1.05/1.10 fof(dt_l1_struct_0,axiom,
% 1.05/1.10 $true ).
% 1.05/1.10
% 1.05/1.10 fof(dt_m1_relset_1,axiom,
% 1.05/1.10 $true ).
% 1.05/1.10
% 1.05/1.10 fof(dt_m1_subset_1,axiom,
% 1.05/1.10 $true ).
% 1.05/1.10
% 1.05/1.10 fof(dt_m1_yellow_0,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( rel_str(A)
% 1.05/1.10 => ! [B] :
% 1.05/1.10 ( subrelstr(B,A)
% 1.05/1.10 => rel_str(B) ) ) ).
% 1.05/1.10
% 1.05/1.10 fof(dt_m2_relset_1,axiom,
% 1.05/1.10 ! [A,B,C] :
% 1.05/1.10 ( relation_of2_as_subset(C,A,B)
% 1.05/1.10 => element(C,powerset(cartesian_product2(A,B))) ) ).
% 1.05/1.10
% 1.05/1.10 fof(dt_u1_orders_2,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( rel_str(A)
% 1.05/1.10 => relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) ).
% 1.05/1.10
% 1.05/1.10 fof(dt_u1_struct_0,axiom,
% 1.05/1.10 $true ).
% 1.05/1.10
% 1.05/1.10 fof(existence_l1_orders_2,axiom,
% 1.05/1.10 ? [A] : rel_str(A) ).
% 1.05/1.10
% 1.05/1.10 fof(existence_l1_struct_0,axiom,
% 1.05/1.10 ? [A] : one_sorted_str(A) ).
% 1.05/1.10
% 1.05/1.10 fof(existence_m1_relset_1,axiom,
% 1.05/1.10 ! [A,B] :
% 1.05/1.10 ? [C] : relation_of2(C,A,B) ).
% 1.05/1.10
% 1.05/1.10 fof(existence_m1_subset_1,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ? [B] : element(B,A) ).
% 1.05/1.10
% 1.05/1.10 fof(existence_m1_yellow_0,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( rel_str(A)
% 1.05/1.10 => ? [B] : subrelstr(B,A) ) ).
% 1.05/1.10
% 1.05/1.10 fof(existence_m2_relset_1,axiom,
% 1.05/1.10 ! [A,B] :
% 1.05/1.10 ? [C] : relation_of2_as_subset(C,A,B) ).
% 1.05/1.10
% 1.05/1.10 fof(fc14_finset_1,axiom,
% 1.05/1.10 ! [A,B] :
% 1.05/1.10 ( ( finite(A)
% 1.05/1.10 & finite(B) )
% 1.05/1.10 => finite(cartesian_product2(A,B)) ) ).
% 1.05/1.10
% 1.05/1.10 fof(fc1_xboole_0,axiom,
% 1.05/1.10 empty(empty_set) ).
% 1.05/1.10
% 1.05/1.10 fof(rc1_finset_1,axiom,
% 1.05/1.10 ? [A] :
% 1.05/1.10 ( ~ empty(A)
% 1.05/1.10 & finite(A) ) ).
% 1.05/1.10
% 1.05/1.10 fof(rc1_xboole_0,axiom,
% 1.05/1.10 ? [A] : empty(A) ).
% 1.05/1.10
% 1.05/1.10 fof(rc2_xboole_0,axiom,
% 1.05/1.10 ? [A] : ~ empty(A) ).
% 1.05/1.10
% 1.05/1.10 fof(rc3_finset_1,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( ~ empty(A)
% 1.05/1.10 => ? [B] :
% 1.05/1.10 ( element(B,powerset(A))
% 1.05/1.10 & ~ empty(B)
% 1.05/1.10 & finite(B) ) ) ).
% 1.05/1.10
% 1.05/1.10 fof(rc4_finset_1,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( ~ empty(A)
% 1.05/1.10 => ? [B] :
% 1.05/1.10 ( element(B,powerset(A))
% 1.05/1.10 & ~ empty(B)
% 1.05/1.10 & finite(B) ) ) ).
% 1.05/1.10
% 1.05/1.10 fof(redefinition_m2_relset_1,axiom,
% 1.05/1.10 ! [A,B,C] :
% 1.05/1.10 ( relation_of2_as_subset(C,A,B)
% 1.05/1.10 <=> relation_of2(C,A,B) ) ).
% 1.05/1.10
% 1.05/1.10 fof(reflexivity_r1_tarski,axiom,
% 1.05/1.10 ! [A,B] : subset(A,A) ).
% 1.05/1.10
% 1.05/1.10 fof(t1_subset,axiom,
% 1.05/1.10 ! [A,B] :
% 1.05/1.10 ( in(A,B)
% 1.05/1.10 => element(A,B) ) ).
% 1.05/1.10
% 1.05/1.10 fof(t2_subset,axiom,
% 1.05/1.10 ! [A,B] :
% 1.05/1.10 ( element(A,B)
% 1.05/1.10 => ( empty(B)
% 1.05/1.10 | in(A,B) ) ) ).
% 1.05/1.10
% 1.05/1.10 fof(t3_subset,axiom,
% 1.05/1.10 ! [A,B] :
% 1.05/1.10 ( element(A,powerset(B))
% 1.05/1.10 <=> subset(A,B) ) ).
% 1.05/1.10
% 1.05/1.10 fof(t4_subset,axiom,
% 1.05/1.10 ! [A,B,C] :
% 1.05/1.10 ( ( in(A,B)
% 1.05/1.10 & element(B,powerset(C)) )
% 1.05/1.10 => element(A,C) ) ).
% 1.05/1.10
% 1.05/1.10 fof(t5_subset,axiom,
% 1.05/1.10 ! [A,B,C] :
% 1.05/1.10 ~ ( in(A,B)
% 1.05/1.10 & element(B,powerset(C))
% 1.05/1.10 & empty(C) ) ).
% 1.05/1.10
% 1.05/1.10 fof(t60_yellow_0,conjecture,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( rel_str(A)
% 1.05/1.10 => ! [B] :
% 1.05/1.10 ( subrelstr(B,A)
% 1.05/1.10 => ! [C] :
% 1.05/1.10 ( element(C,the_carrier(A))
% 1.05/1.10 => ! [D] :
% 1.05/1.10 ( element(D,the_carrier(A))
% 1.05/1.10 => ! [E] :
% 1.05/1.10 ( element(E,the_carrier(B))
% 1.05/1.10 => ! [F] :
% 1.05/1.10 ( element(F,the_carrier(B))
% 1.05/1.10 => ( ( E = C
% 1.05/1.10 & F = D
% 1.05/1.10 & related(B,E,F) )
% 1.05/1.10 => related(A,C,D) ) ) ) ) ) ) ) ).
% 1.05/1.10
% 1.05/1.10 fof(t6_boole,axiom,
% 1.05/1.10 ! [A] :
% 1.05/1.10 ( empty(A)
% 1.05/1.10 => A = empty_set ) ).
% 1.05/1.10
% 1.05/1.10 fof(t7_boole,axiom,
% 1.05/1.10 ! [A,B] :
% 1.05/1.10 ~ ( in(A,B)
% 1.05/1.10 & empty(B) ) ).
% 1.05/1.10
% 1.05/1.10 fof(t8_boole,axiom,
% 1.05/1.10 ! [A,B] :
% 1.05/1.10 ~ ( empty(A)
% 1.05/1.10 & A != B
% 1.05/1.10 & empty(B) ) ).
% 1.05/1.10
% 1.05/1.10 %------------------------------------------------------------------------------
% 1.05/1.10 %-------------------------------------------
% 1.05/1.10 % Proof found
% 1.05/1.10 % SZS status Theorem for theBenchmark
% 1.05/1.10 % SZS output start Proof
% 1.05/1.10 %ClaNum:93(EqnAxiom:40)
% 1.05/1.10 %VarNum:154(SingletonVarNum:67)
% 1.05/1.10 %MaxLitNum:5
% 1.05/1.10 %MaxfuncDepth:2
% 1.05/1.10 %SharedTerms:31
% 1.05/1.10 %goalClause: 41 42 47 49 51 52 53 54 56 61
% 1.05/1.10 %singleGoalClaCount:10
% 1.05/1.10 [41]E(a1,a2)
% 1.05/1.10 [42]E(a9,a10)
% 1.05/1.10 [43]P1(a3)
% 1.05/1.10 [44]P1(a11)
% 1.05/1.10 [45]P3(a12)
% 1.05/1.10 [46]P4(a13)
% 1.05/1.10 [47]P4(a5)
% 1.05/1.10 [48]P5(a14)
% 1.05/1.11 [49]P7(a8,a5)
% 1.05/1.11 [56]P8(a8,a1,a10)
% 1.05/1.11 [59]~P1(a12)
% 1.05/1.11 [60]~P1(a20)
% 1.05/1.11 [61]~P8(a5,a2,a9)
% 1.05/1.11 [51]P2(a2,f19(a5))
% 1.05/1.11 [52]P2(a9,f19(a5))
% 1.05/1.11 [53]P2(a1,f19(a8))
% 1.05/1.11 [54]P2(a10,f19(a8))
% 1.05/1.11 [50]P12(x501,x501)
% 1.05/1.11 [55]P2(f15(x551),x551)
% 1.05/1.11 [57]P9(f17(x571,x572),x571,x572)
% 1.05/1.11 [58]P10(f16(x581,x582),x581,x582)
% 1.05/1.11 [62]~P1(x621)+E(x621,a3)
% 1.05/1.11 [63]~P1(x631)+P3(x631)
% 1.05/1.11 [64]~P4(x641)+P5(x641)
% 1.05/1.11 [65]P1(x651)+P3(f6(x651))
% 1.05/1.11 [66]P1(x661)+P3(f7(x661))
% 1.05/1.11 [68]P1(x681)+~P1(f6(x681))
% 1.05/1.11 [69]P1(x691)+~P1(f7(x691))
% 1.05/1.11 [70]~P4(x701)+P7(f18(x701),x701)
% 1.05/1.11 [72]P1(x721)+P2(f6(x721),f21(x721))
% 1.05/1.11 [73]P1(x731)+P2(f7(x731),f21(x731))
% 1.05/1.11 [86]~P4(x861)+P9(f23(x861),f19(x861),f19(x861))
% 1.05/1.11 [71]~P1(x711)+~P6(x712,x711)
% 1.05/1.11 [75]~P6(x751,x752)+P2(x751,x752)
% 1.05/1.11 [80]~P6(x802,x801)+~P6(x801,x802)
% 1.05/1.11 [77]~P12(x771,x772)+P2(x771,f21(x772))
% 1.05/1.11 [81]P12(x811,x812)+~P2(x811,f21(x812))
% 1.05/1.11 [89]~P10(x891,x892,x893)+P9(x891,x892,x893)
% 1.05/1.11 [90]~P9(x901,x902,x903)+P10(x901,x902,x903)
% 1.05/1.11 [88]P11(x881)+~P2(x881,f21(f4(x882,x883)))
% 1.05/1.11 [91]~P9(x911,x912,x913)+P2(x911,f21(f4(x912,x913)))
% 1.05/1.11 [67]~P1(x672)+~P1(x671)+E(x671,x672)
% 1.05/1.11 [74]~P7(x741,x742)+P4(x741)+~P4(x742)
% 1.05/1.11 [76]~P2(x762,x761)+P1(x761)+P6(x762,x761)
% 1.05/1.11 [78]P3(x781)+~P3(x782)+~P2(x781,f21(x782))
% 1.05/1.11 [79]~P3(x792)+~P3(x791)+P3(f4(x791,x792))
% 1.05/1.11 [82]~P1(x821)+~P6(x822,x823)+~P2(x823,f21(x821))
% 1.05/1.11 [85]P2(x851,x852)+~P6(x851,x853)+~P2(x853,f21(x852))
% 1.05/1.11 [83]~P4(x832)+~P4(x831)+~P7(x831,x832)+P12(f19(x831),f19(x832))
% 1.05/1.11 [84]~P4(x842)+~P4(x841)+~P7(x841,x842)+P12(f23(x841),f23(x842))
% 1.05/1.11 [87]~P4(x872)+~P4(x871)+P7(x871,x872)+~P12(f19(x871),f19(x872))+~P12(f23(x871),f23(x872))
% 1.05/1.11 [92]~P4(x921)+P8(x921,x922,x923)+~P2(x923,f19(x921))+~P2(x922,f19(x921))+~P6(f22(x922,x923),f23(x921))
% 1.05/1.11 [93]~P4(x933)+~P8(x933,x931,x932)+~P2(x932,f19(x933))+~P2(x931,f19(x933))+P6(f22(x931,x932),f23(x933))
% 1.05/1.11 %EqnAxiom
% 1.05/1.11 [1]E(x11,x11)
% 1.05/1.11 [2]E(x22,x21)+~E(x21,x22)
% 1.05/1.11 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.05/1.11 [4]~E(x41,x42)+E(f19(x41),f19(x42))
% 1.05/1.11 [5]~E(x51,x52)+E(f23(x51),f23(x52))
% 1.05/1.11 [6]~E(x61,x62)+E(f22(x61,x63),f22(x62,x63))
% 1.05/1.11 [7]~E(x71,x72)+E(f22(x73,x71),f22(x73,x72))
% 1.05/1.11 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 1.05/1.11 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 1.05/1.11 [10]~E(x101,x102)+E(f15(x101),f15(x102))
% 1.05/1.11 [11]~E(x111,x112)+E(f17(x111,x113),f17(x112,x113))
% 1.05/1.11 [12]~E(x121,x122)+E(f17(x123,x121),f17(x123,x122))
% 1.05/1.11 [13]~E(x131,x132)+E(f16(x131,x133),f16(x132,x133))
% 1.05/1.11 [14]~E(x141,x142)+E(f16(x143,x141),f16(x143,x142))
% 1.05/1.11 [15]~E(x151,x152)+E(f6(x151),f6(x152))
% 1.05/1.11 [16]~E(x161,x162)+E(f7(x161),f7(x162))
% 1.05/1.11 [17]~E(x171,x172)+E(f21(x171),f21(x172))
% 1.05/1.11 [18]~E(x181,x182)+E(f18(x181),f18(x182))
% 1.05/1.11 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 1.05/1.11 [20]P2(x202,x203)+~E(x201,x202)+~P2(x201,x203)
% 1.05/1.11 [21]P2(x213,x212)+~E(x211,x212)+~P2(x213,x211)
% 1.05/1.11 [22]~P3(x221)+P3(x222)+~E(x221,x222)
% 1.05/1.11 [23]~P4(x231)+P4(x232)+~E(x231,x232)
% 1.05/1.11 [24]P12(x242,x243)+~E(x241,x242)+~P12(x241,x243)
% 1.05/1.11 [25]P12(x253,x252)+~E(x251,x252)+~P12(x253,x251)
% 1.05/1.11 [26]~P5(x261)+P5(x262)+~E(x261,x262)
% 1.05/1.11 [27]P7(x272,x273)+~E(x271,x272)+~P7(x271,x273)
% 1.05/1.11 [28]P7(x283,x282)+~E(x281,x282)+~P7(x283,x281)
% 1.05/1.11 [29]P9(x292,x293,x294)+~E(x291,x292)+~P9(x291,x293,x294)
% 1.05/1.11 [30]P9(x303,x302,x304)+~E(x301,x302)+~P9(x303,x301,x304)
% 1.05/1.11 [31]P9(x313,x314,x312)+~E(x311,x312)+~P9(x313,x314,x311)
% 1.05/1.11 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 1.05/1.11 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 1.05/1.11 [34]P10(x342,x343,x344)+~E(x341,x342)+~P10(x341,x343,x344)
% 1.05/1.11 [35]P10(x353,x352,x354)+~E(x351,x352)+~P10(x353,x351,x354)
% 1.05/1.11 [36]P10(x363,x364,x362)+~E(x361,x362)+~P10(x363,x364,x361)
% 1.05/1.11 [37]P8(x372,x373,x374)+~E(x371,x372)+~P8(x371,x373,x374)
% 1.05/1.11 [38]P8(x383,x382,x384)+~E(x381,x382)+~P8(x383,x381,x384)
% 1.05/1.11 [39]P8(x393,x394,x392)+~E(x391,x392)+~P8(x393,x394,x391)
% 1.05/1.11 [40]~P11(x401)+P11(x402)+~E(x401,x402)
% 1.05/1.11
% 1.05/1.11 %-------------------------------------------
% 1.05/1.11 cnf(94,plain,
% 1.05/1.11 (E(a2,a1)),
% 1.05/1.11 inference(scs_inference,[],[41,2])).
% 1.05/1.11 cnf(95,plain,
% 1.05/1.11 (~P6(x951,a3)),
% 1.05/1.11 inference(scs_inference,[],[41,43,2,71])).
% 1.05/1.11 cnf(97,plain,
% 1.05/1.11 (P12(f15(f21(x971)),x971)),
% 1.05/1.11 inference(scs_inference,[],[41,43,55,2,71,81])).
% 1.05/1.11 cnf(98,plain,
% 1.05/1.11 (P2(f15(x981),x981)),
% 1.05/1.11 inference(rename_variables,[],[55])).
% 1.05/1.11 cnf(103,plain,
% 1.05/1.11 (P9(f17(x1031,a1),x1031,a2)),
% 1.05/1.11 inference(scs_inference,[],[41,56,43,57,58,55,2,71,81,38,36,35,31])).
% 1.05/1.11 cnf(104,plain,
% 1.05/1.11 (P9(f17(a1,a1),a2,a1)),
% 1.05/1.11 inference(scs_inference,[],[41,56,43,57,58,55,2,71,81,38,36,35,31,30])).
% 1.05/1.11 cnf(108,plain,
% 1.05/1.11 (P2(f15(x1081),x1081)),
% 1.05/1.11 inference(rename_variables,[],[55])).
% 1.05/1.11 cnf(110,plain,
% 1.05/1.11 (P6(f15(a12),a12)),
% 1.05/1.11 inference(scs_inference,[],[41,50,56,43,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76])).
% 1.05/1.11 cnf(122,plain,
% 1.05/1.11 (E(a11,a3)),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62])).
% 1.05/1.11 cnf(126,plain,
% 1.05/1.11 (P7(f18(a5),a5)),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70])).
% 1.05/1.11 cnf(128,plain,
% 1.05/1.11 (~P1(f7(a12))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69])).
% 1.05/1.11 cnf(130,plain,
% 1.05/1.11 (~P1(f6(a12))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68])).
% 1.05/1.11 cnf(134,plain,
% 1.05/1.11 (P3(f6(a12))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65])).
% 1.05/1.11 cnf(137,plain,
% 1.05/1.11 (E(f21(a1),f21(a2))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17])).
% 1.05/1.11 cnf(140,plain,
% 1.05/1.11 (E(f16(x1401,a1),f16(x1401,a2))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14])).
% 1.05/1.11 cnf(141,plain,
% 1.05/1.11 (E(f16(a1,x1411),f16(a2,x1411))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13])).
% 1.05/1.11 cnf(142,plain,
% 1.05/1.11 (E(f17(x1421,a1),f17(x1421,a2))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12])).
% 1.05/1.11 cnf(143,plain,
% 1.05/1.11 (E(f17(a1,x1431),f17(a2,x1431))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11])).
% 1.05/1.11 cnf(145,plain,
% 1.05/1.11 (E(f4(x1451,a1),f4(x1451,a2))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9])).
% 1.05/1.11 cnf(146,plain,
% 1.05/1.11 (E(f4(a1,x1461),f4(a2,x1461))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8])).
% 1.05/1.11 cnf(147,plain,
% 1.05/1.11 (E(f22(x1471,a1),f22(x1471,a2))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.05/1.11 cnf(148,plain,
% 1.05/1.11 (E(f22(a1,x1481),f22(a2,x1481))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 1.05/1.11 cnf(153,plain,
% 1.05/1.11 (P2(f7(a12),f21(a12))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,73])).
% 1.05/1.11 cnf(157,plain,
% 1.05/1.11 (P9(f23(a5),f19(a5),f19(a5))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,73,72,86])).
% 1.05/1.11 cnf(159,plain,
% 1.05/1.11 (~P8(a5,a2,x1591)+~E(x1591,a9)),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,56,61,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,73,72,86,39])).
% 1.05/1.11 cnf(165,plain,
% 1.05/1.11 (~E(a10,a9)+~P2(a12,f21(a3))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,49,56,61,43,44,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,73,72,86,39,37,33,19,74,82])).
% 1.05/1.11 cnf(169,plain,
% 1.05/1.11 (~E(a10,a9)+P12(f23(a8),f23(a5))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,49,56,61,43,44,45,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,73,72,86,39,37,33,19,74,82,79,84])).
% 1.05/1.11 cnf(171,plain,
% 1.05/1.11 (~E(a10,a9)+P12(f19(a8),f19(a5))),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,49,56,61,43,44,45,59,51,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,73,72,86,39,37,33,19,74,82,79,84,83])).
% 1.05/1.11 cnf(177,plain,
% 1.05/1.11 (~P6(a12,f21(a3))+~E(a10,a9)),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,49,56,61,43,44,45,59,51,52,53,54,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,73,72,86,39,37,33,19,74,82,79,84,83,93,92,75])).
% 1.05/1.11 cnf(179,plain,
% 1.05/1.11 (P11(f17(a1,a1))+~E(a10,a9)),
% 1.05/1.11 inference(scs_inference,[],[41,50,47,49,56,61,43,44,45,59,51,52,53,54,57,58,55,98,108,2,71,81,38,36,35,31,30,25,24,21,20,76,90,89,80,64,63,62,77,70,69,68,66,65,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,73,72,86,39,37,33,19,74,82,79,84,83,93,92,75,88])).
% 1.05/1.11 cnf(194,plain,
% 1.05/1.11 (~P2(a12,f21(a11))),
% 1.05/1.11 inference(scs_inference,[],[44,110,82])).
% 1.05/1.11 cnf(197,plain,
% 1.05/1.11 (P2(f15(x1971),x1971)),
% 1.05/1.11 inference(rename_variables,[],[55])).
% 1.05/1.11 cnf(201,plain,
% 1.05/1.11 (~P8(a5,a1,a9)),
% 1.05/1.11 inference(scs_inference,[],[41,44,55,45,61,110,82,78,77,38])).
% 1.05/1.11 cnf(202,plain,
% 1.05/1.11 (P10(f16(x2021,a2),x2021,a1)),
% 1.05/1.11 inference(scs_inference,[],[41,44,55,45,61,58,140,110,82,78,77,38,34])).
% 1.05/1.11 cnf(205,plain,
% 1.05/1.11 (P12(x2051,x2051)),
% 1.05/1.11 inference(rename_variables,[],[50])).
% 1.05/1.11 cnf(206,plain,
% 1.05/1.11 (~E(a11,a12)),
% 1.05/1.11 inference(scs_inference,[],[41,44,55,45,61,50,205,58,57,140,142,110,82,78,77,38,34,29,25,24])).
% 1.05/1.11 cnf(214,plain,
% 1.05/1.11 (P4(a8)),
% 1.05/1.11 inference(scs_inference,[],[41,60,44,55,197,45,61,50,205,49,58,57,47,140,141,142,110,82,78,77,38,34,29,25,24,20,19,3,74])).
% 1.05/1.11 cnf(216,plain,
% 1.05/1.11 (P3(f4(a12,a12))),
% 1.05/1.11 inference(scs_inference,[],[41,60,44,55,197,45,61,50,205,49,58,57,47,140,141,142,110,82,78,77,38,34,29,25,24,20,19,3,74,79])).
% 1.05/1.11 cnf(219,plain,
% 1.05/1.11 (~P6(x2191,a11)),
% 1.05/1.11 inference(scs_inference,[],[41,60,44,55,197,45,61,50,205,49,58,57,47,140,141,142,95,110,122,82,78,77,38,34,29,25,24,20,19,3,74,79,2,33])).
% 1.05/1.11 cnf(221,plain,
% 1.05/1.11 (P6(f22(a1,a10),f23(a8))),
% 1.05/1.11 inference(scs_inference,[],[41,48,60,44,53,54,55,197,45,61,56,50,205,49,58,57,47,140,141,142,95,110,122,82,78,77,38,34,29,25,24,20,19,3,74,79,2,33,26,93])).
% 1.05/1.11 cnf(225,plain,
% 1.05/1.11 (~P1(f23(a8))),
% 1.05/1.11 inference(scs_inference,[],[41,48,60,44,52,53,54,55,197,45,61,56,51,50,205,49,58,57,47,140,141,142,95,110,122,82,78,77,38,34,29,25,24,20,19,3,74,79,2,33,26,93,92,71])).
% 1.05/1.11 cnf(251,plain,
% 1.05/1.11 (P10(f16(x2511,a9),x2511,a10)),
% 1.05/1.11 inference(scs_inference,[],[42,58,36])).
% 1.05/1.11 cnf(253,plain,
% 1.05/1.11 (~P6(x2531,f15(f21(a11)))),
% 1.05/1.11 inference(scs_inference,[],[42,55,44,58,36,82])).
% 1.05/1.11 cnf(254,plain,
% 1.05/1.11 (P2(f15(x2541),x2541)),
% 1.05/1.11 inference(rename_variables,[],[55])).
% 1.05/1.11 cnf(258,plain,
% 1.05/1.11 (P6(f15(a20),a20)),
% 1.05/1.11 inference(scs_inference,[],[42,60,55,254,44,58,57,36,82,31,76])).
% 1.05/1.11 cnf(261,plain,
% 1.05/1.11 (P2(x2611,f21(x2611))),
% 1.05/1.11 inference(scs_inference,[],[42,60,55,254,44,50,58,57,36,82,31,76,77])).
% 1.05/1.11 cnf(263,plain,
% 1.05/1.11 (P6(f22(a2,a10),f23(a8))),
% 1.05/1.11 inference(scs_inference,[],[42,60,55,254,44,50,58,57,221,148,36,82,31,76,77,32])).
% 1.05/1.11 cnf(265,plain,
% 1.05/1.11 (~E(f21(a12),f21(a11))),
% 1.05/1.11 inference(scs_inference,[],[42,60,55,254,44,50,58,57,194,221,148,36,82,31,76,77,32,21])).
% 1.05/1.11 cnf(266,plain,
% 1.05/1.11 (P2(a10,f19(a5))),
% 1.05/1.11 inference(scs_inference,[],[42,60,52,55,254,44,50,58,57,194,221,148,36,82,31,76,77,32,21,20])).
% 1.05/1.11 cnf(272,plain,
% 1.05/1.11 (P12(f15(f21(a9)),a10)),
% 1.05/1.11 inference(scs_inference,[],[42,60,52,55,254,44,50,58,57,97,194,221,206,148,122,36,82,31,76,77,32,21,20,3,80,75,25])).
% 1.05/1.11 cnf(276,plain,
% 1.05/1.11 (E(a10,a9)),
% 1.05/1.11 inference(scs_inference,[],[42,60,52,55,254,44,50,58,57,97,194,221,206,219,148,122,36,82,31,76,77,32,21,20,3,80,75,25,33,2])).
% 1.05/1.11 cnf(278,plain,
% 1.05/1.11 (P8(a8,a1,a9)),
% 1.05/1.11 inference(scs_inference,[],[42,46,60,52,55,254,56,44,50,58,57,97,194,221,206,219,148,122,36,82,31,76,77,32,21,20,3,80,75,25,33,2,23,39])).
% 1.05/1.11 cnf(280,plain,
% 1.05/1.11 (P11(f17(a1,a1))),
% 1.05/1.11 inference(scs_inference,[],[42,46,60,52,55,254,56,44,50,58,57,97,194,221,206,219,201,148,122,36,82,31,76,77,32,21,20,3,80,75,25,33,2,23,39,37,179])).
% 1.05/1.11 cnf(283,plain,
% 1.05/1.11 (P12(f23(a8),f23(a5))),
% 1.05/1.11 inference(scs_inference,[],[42,46,60,52,55,254,56,44,50,58,57,97,194,221,206,219,201,148,122,36,82,31,76,77,32,21,20,3,80,75,25,33,2,23,39,37,179,177,171,169])).
% 1.05/1.11 cnf(284,plain,
% 1.05/1.11 (~P2(a12,f21(a3))),
% 1.05/1.11 inference(scs_inference,[],[42,46,60,52,55,254,56,44,50,58,57,97,194,221,206,219,201,148,122,36,82,31,76,77,32,21,20,3,80,75,25,33,2,23,39,37,179,177,171,169,165])).
% 1.05/1.11 cnf(285,plain,
% 1.05/1.11 (~P8(a5,a2,a10)),
% 1.05/1.11 inference(scs_inference,[],[42,46,60,52,55,254,56,44,50,58,57,97,194,221,206,219,201,148,122,36,82,31,76,77,32,21,20,3,80,75,25,33,2,23,39,37,179,177,171,169,165,159])).
% 1.05/1.11 cnf(304,plain,
% 1.05/1.11 (P11(f17(a2,a1))),
% 1.05/1.11 inference(scs_inference,[],[280,143,40])).
% 1.05/1.11 cnf(305,plain,
% 1.05/1.11 (E(f17(a1,x3051),f17(a2,x3051))),
% 1.05/1.11 inference(rename_variables,[],[143])).
% 1.05/1.11 cnf(308,plain,
% 1.05/1.11 (~P2(f23(a8),f21(a3))),
% 1.05/1.11 inference(scs_inference,[],[46,43,280,143,263,40,70,82])).
% 1.05/1.11 cnf(310,plain,
% 1.05/1.11 (P6(f15(f7(a12)),f7(a12))),
% 1.05/1.11 inference(scs_inference,[],[46,55,43,280,143,263,128,40,70,82,76])).
% 1.05/1.11 cnf(313,plain,
% 1.05/1.11 (~P12(a12,a3)),
% 1.05/1.11 inference(scs_inference,[],[46,55,43,280,143,263,128,284,40,70,82,76,77])).
% 1.05/1.11 cnf(318,plain,
% 1.05/1.11 (P12(x3181,x3181)),
% 1.05/1.11 inference(rename_variables,[],[50])).
% 1.05/1.11 cnf(319,plain,
% 1.05/1.11 (P4(f18(a13))),
% 1.05/1.11 inference(scs_inference,[],[42,46,51,55,43,50,47,280,143,263,128,266,284,285,40,70,82,76,77,92,24,74])).
% 1.05/1.11 cnf(325,plain,
% 1.05/1.11 (E(f17(a1,a1),f17(a2,a2))),
% 1.05/1.11 inference(scs_inference,[],[42,46,51,55,43,50,47,280,143,305,263,128,266,284,285,142,40,70,82,76,77,92,24,74,75,80,3])).
% 1.05/1.11 cnf(333,plain,
% 1.05/1.11 (~E(f23(a8),f15(f21(a11)))),
% 1.05/1.11 inference(scs_inference,[],[42,54,46,51,55,43,50,47,261,280,253,143,305,263,128,137,266,284,276,278,285,142,201,41,40,70,82,76,77,92,24,74,75,80,3,38,39,20,21,33])).
% 1.05/1.11 cnf(336,plain,
% 1.05/1.11 (~P6(f22(a1,a10),f23(a5))),
% 1.05/1.11 inference(scs_inference,[],[42,54,46,51,55,45,43,50,47,261,280,253,143,305,263,128,137,265,266,284,276,278,285,142,201,148,41,40,70,82,76,77,92,24,74,75,80,3,38,39,20,21,33,2,22,32])).
% 1.05/1.11 cnf(338,plain,
% 1.05/1.11 (P7(a5,a5)+~P12(f23(a5),f23(a5))),
% 1.05/1.11 inference(scs_inference,[],[42,54,46,51,55,45,43,50,318,47,261,280,253,143,305,263,128,137,265,266,284,276,278,285,142,201,148,41,40,70,82,76,77,92,24,74,75,80,3,38,39,20,21,33,2,22,32,26,87])).
% 1.05/1.11 cnf(341,plain,
% 1.05/1.11 (P6(f22(a1,a9),f23(a8))),
% 1.05/1.11 inference(scs_inference,[],[42,54,46,51,55,45,53,43,50,318,47,261,280,253,143,305,263,128,137,265,266,284,276,278,285,142,201,148,214,41,40,70,82,76,77,92,24,74,75,80,3,38,39,20,21,33,2,22,32,26,87,93])).
% 1.05/1.11 cnf(351,plain,
% 1.05/1.11 (P1(f15(f21(a11)))),
% 1.05/1.11 inference(scs_inference,[],[55,304,253,142,40,76])).
% 1.05/1.11 cnf(353,plain,
% 1.05/1.11 (P2(f15(x3531),x3531)),
% 1.05/1.11 inference(rename_variables,[],[55])).
% 1.05/1.11 cnf(362,plain,
% 1.05/1.11 (P4(f18(a5))),
% 1.05/1.11 inference(scs_inference,[],[47,60,55,43,341,272,304,308,126,253,142,40,76,77,75,19,80,74])).
% 1.05/1.11 cnf(364,plain,
% 1.05/1.11 (~E(f15(f21(a3)),a12)),
% 1.05/1.11 inference(scs_inference,[],[47,60,55,43,341,272,304,308,126,313,97,253,142,40,76,77,75,19,80,74,24])).
% 1.05/1.11 cnf(366,plain,
% 1.05/1.11 (E(f4(a1,a1),f4(a2,a2))),
% 1.05/1.11 inference(scs_inference,[],[47,60,55,43,145,146,341,272,304,308,126,313,97,253,142,40,76,77,75,19,80,74,24,3])).
% 1.05/1.11 cnf(367,plain,
% 1.05/1.11 (E(f4(x3671,a1),f4(x3671,a2))),
% 1.05/1.11 inference(rename_variables,[],[145])).
% 1.05/1.11 cnf(369,plain,
% 1.05/1.11 (P6(f22(a2,a9),f23(a8))),
% 1.05/1.11 inference(scs_inference,[],[47,60,55,43,145,146,341,272,304,308,126,313,97,253,142,148,40,76,77,75,19,80,74,24,3,32])).
% 1.05/1.11 cnf(372,plain,
% 1.05/1.11 (P2(f15(x3721),x3721)),
% 1.05/1.11 inference(rename_variables,[],[55])).
% 1.05/1.11 cnf(376,plain,
% 1.05/1.11 (P12(x3761,x3761)),
% 1.05/1.11 inference(rename_variables,[],[50])).
% 1.05/1.11 cnf(377,plain,
% 1.05/1.11 (E(f4(x3771,a2),f4(x3771,a1))),
% 1.05/1.11 inference(scs_inference,[],[47,94,60,55,353,372,43,50,145,367,146,341,272,304,308,126,313,97,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2])).
% 1.05/1.11 cnf(385,plain,
% 1.05/1.11 (~P1(f7(a20))),
% 1.05/1.11 inference(scs_inference,[],[47,94,60,55,353,372,46,43,50,376,145,367,146,341,272,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69])).
% 1.05/1.11 cnf(387,plain,
% 1.05/1.11 (~P1(f6(a20))),
% 1.05/1.11 inference(scs_inference,[],[47,94,60,55,353,372,46,43,50,376,145,367,146,341,272,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69,68])).
% 1.05/1.11 cnf(404,plain,
% 1.05/1.11 (P2(f17(x4041,x4042),f21(f4(x4041,x4042)))),
% 1.05/1.11 inference(scs_inference,[],[47,94,60,55,353,372,44,58,46,43,50,376,57,145,367,146,341,272,153,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69,68,72,81,90,89,63,66,65,4,91])).
% 1.05/1.11 cnf(410,plain,
% 1.05/1.11 (E(f15(f21(a11)),a3)),
% 1.05/1.11 inference(scs_inference,[],[47,94,60,55,353,372,44,58,46,43,50,376,57,145,367,146,341,272,153,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69,68,72,81,90,89,63,66,65,4,91,73,86,62])).
% 1.05/1.11 cnf(418,plain,
% 1.05/1.11 (E(f22(x4181,a2),f22(x4181,a1))),
% 1.05/1.12 inference(scs_inference,[],[47,94,60,55,353,372,44,58,46,43,50,376,57,145,367,146,341,272,153,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69,68,72,81,90,89,63,66,65,4,91,73,86,62,18,15,14,12,10,9,7])).
% 1.05/1.12 cnf(419,plain,
% 1.05/1.12 (E(f21(a2),f21(a1))),
% 1.05/1.12 inference(scs_inference,[],[47,94,60,55,353,372,44,58,46,43,50,376,57,145,367,146,341,272,153,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69,68,72,81,90,89,63,66,65,4,91,73,86,62,18,15,14,12,10,9,7,17])).
% 1.05/1.12 cnf(420,plain,
% 1.05/1.12 (E(f22(a2,x4201),f22(a1,x4201))),
% 1.05/1.12 inference(scs_inference,[],[47,94,60,55,353,372,44,58,46,43,50,376,57,145,367,146,341,272,153,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69,68,72,81,90,89,63,66,65,4,91,73,86,62,18,15,14,12,10,9,7,17,6])).
% 1.05/1.12 cnf(424,plain,
% 1.05/1.12 (E(f16(a2,x4241),f16(a1,x4241))),
% 1.05/1.12 inference(scs_inference,[],[47,94,60,55,353,372,44,58,46,43,50,376,57,145,367,146,341,272,153,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69,68,72,81,90,89,63,66,65,4,91,73,86,62,18,15,14,12,10,9,7,17,6,5,22,16,13])).
% 1.05/1.12 cnf(425,plain,
% 1.05/1.12 (E(f17(a2,x4251),f17(a1,x4251))),
% 1.05/1.12 inference(scs_inference,[],[47,94,60,55,353,372,44,58,46,43,50,376,57,145,367,146,341,272,153,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69,68,72,81,90,89,63,66,65,4,91,73,86,62,18,15,14,12,10,9,7,17,6,5,22,16,13,11])).
% 1.05/1.12 cnf(426,plain,
% 1.05/1.12 (E(f4(a2,x4261),f4(a1,x4261))),
% 1.05/1.12 inference(scs_inference,[],[47,94,60,55,353,372,44,58,46,43,50,376,57,145,367,146,341,272,153,304,308,126,313,97,261,253,142,148,40,76,77,75,19,80,74,24,3,32,20,21,25,2,338,64,88,69,68,72,81,90,89,63,66,65,4,91,73,86,62,18,15,14,12,10,9,7,17,6,5,22,16,13,11,8])).
% 1.05/1.12 cnf(431,plain,
% 1.05/1.12 (P2(x4311,f21(x4311))),
% 1.05/1.12 inference(rename_variables,[],[261])).
% 1.05/1.12 cnf(443,plain,
% 1.05/1.12 (P2(f22(x4431,a2),f21(f22(x4431,a1)))),
% 1.05/1.12 inference(scs_inference,[],[44,50,147,369,130,261,431,308,122,341,85,77,75,80,19,3,24,20])).
% 1.05/1.12 cnf(483,plain,
% 1.05/1.12 (~P2(f7(a12),f21(a3))),
% 1.05/1.12 inference(scs_inference,[],[43,134,216,310,404,78,79,82])).
% 1.05/1.12 cnf(491,plain,
% 1.05/1.12 (P2(f23(a8),f21(f23(a5)))),
% 1.05/1.12 inference(scs_inference,[],[43,424,425,103,251,134,216,283,310,404,78,79,82,34,29,77])).
% 1.05/1.12 cnf(493,plain,
% 1.05/1.12 (P6(f15(f23(a8)),f23(a8))),
% 1.05/1.12 inference(scs_inference,[],[55,43,424,425,103,251,134,216,225,283,310,404,78,79,82,34,29,77,76])).
% 1.05/1.12 cnf(500,plain,
% 1.05/1.12 (E(f4(a2,a2),f4(a1,a1))),
% 1.05/1.12 inference(scs_inference,[],[55,43,377,424,425,426,103,251,134,216,225,283,310,404,78,79,82,34,29,77,76,80,75,3])).
% 1.05/1.12 cnf(501,plain,
% 1.05/1.12 (E(f4(x5011,a2),f4(x5011,a1))),
% 1.05/1.12 inference(rename_variables,[],[377])).
% 1.05/1.12 cnf(505,plain,
% 1.05/1.12 (P12(f4(x5051,a1),f4(x5051,a2))),
% 1.05/1.12 inference(scs_inference,[],[55,43,50,377,501,424,425,426,103,251,134,216,225,283,419,310,404,261,78,79,82,34,29,77,76,80,75,3,21,24])).
% 1.05/1.12 cnf(508,plain,
% 1.05/1.12 (P12(f15(f21(a2)),a1)),
% 1.05/1.12 inference(scs_inference,[],[97,53,55,43,50,94,377,501,424,425,426,103,251,134,216,225,283,419,310,404,261,41,78,79,82,34,29,77,76,80,75,3,21,24,20,25])).
% 1.05/1.12 cnf(510,plain,
% 1.05/1.12 (E(f17(a2,a2),f17(a1,a1))),
% 1.05/1.12 inference(scs_inference,[],[97,53,55,43,50,94,377,501,424,425,426,325,103,251,134,216,225,283,419,310,404,261,41,78,79,82,34,29,77,76,80,75,3,21,24,20,25,2])).
% 1.05/1.12 cnf(543,plain,
% 1.05/1.12 (P2(f15(x5431),x5431)),
% 1.05/1.12 inference(rename_variables,[],[55])).
% 1.05/1.12 cnf(545,plain,
% 1.05/1.12 (~P12(f7(a12),a3)),
% 1.05/1.12 inference(scs_inference,[],[55,43,483,82,77])).
% 1.05/1.12 cnf(547,plain,
% 1.05/1.12 (P1(f15(f21(a3)))),
% 1.05/1.12 inference(scs_inference,[],[55,543,43,483,82,77,76])).
% 1.05/1.12 cnf(548,plain,
% 1.05/1.12 (P2(f15(x5481),x5481)),
% 1.05/1.12 inference(rename_variables,[],[55])).
% 1.05/1.12 cnf(552,plain,
% 1.05/1.12 (E(f22(a2,a2),f22(a1,a1))),
% 1.05/1.12 inference(scs_inference,[],[55,543,43,493,483,418,420,82,77,76,80,3])).
% 1.05/1.12 cnf(555,plain,
% 1.05/1.12 (P2(f15(f17(a2,a2)),f17(a1,a1))),
% 1.05/1.12 inference(scs_inference,[],[55,543,548,43,510,493,483,418,420,82,77,76,80,3,21])).
% 1.05/1.12 cnf(556,plain,
% 1.05/1.12 (P2(f15(x5561),x5561)),
% 1.05/1.12 inference(rename_variables,[],[55])).
% 1.05/1.12 cnf(558,plain,
% 1.05/1.12 (P12(f4(x5581,a1),f4(x5581,a2))),
% 1.05/1.12 inference(rename_variables,[],[505])).
% 1.05/1.12 cnf(567,plain,
% 1.05/1.12 (~E(a11,f7(a20))),
% 1.05/1.12 inference(scs_inference,[],[95,44,55,543,548,556,43,510,333,500,505,558,493,385,483,418,366,420,319,258,82,77,76,80,3,21,24,20,25,2,33,23,19])).
% 1.05/1.12 cnf(585,plain,
% 1.05/1.12 (~P1(f23(a5))),
% 1.05/1.12 inference(scs_inference,[],[491,493,82])).
% 1.05/1.12 cnf(590,plain,
% 1.05/1.12 (~E(f21(f23(a5)),f21(a3))),
% 1.05/1.12 inference(scs_inference,[],[508,491,567,493,308,122,82,77,3,21])).
% 1.05/1.12 cnf(594,plain,
% 1.05/1.12 (P2(f22(x5941,a2),f21(f22(x5941,a1)))),
% 1.05/1.12 inference(rename_variables,[],[443])).
% 1.05/1.12 cnf(626,plain,
% 1.05/1.12 (E(f16(x6261,f22(a2,a2)),f16(x6261,f22(a1,a1)))),
% 1.05/1.12 inference(scs_inference,[],[94,157,443,594,104,508,552,491,202,387,545,567,351,410,404,493,362,308,122,214,82,77,3,21,25,2,20,88,90,89,69,68,65,73,72,64,86,81,63,66,4,91,40,18,14])).
% 1.05/1.12 cnf(639,plain,
% 1.05/1.12 (E(f16(f22(a2,a2),x6391),f16(f22(a1,a1),x6391))),
% 1.05/1.12 inference(scs_inference,[],[94,157,443,594,547,104,508,552,491,202,387,545,567,351,410,404,493,362,308,122,214,82,77,3,21,25,2,20,88,90,89,69,68,65,73,72,64,86,81,63,66,4,91,40,18,14,12,9,62,6,16,15,11,10,7,17,5,13])).
% 1.05/1.12 cnf(642,plain,
% 1.05/1.12 (P7(f18(a5),f18(a5))+~P12(f19(f18(a5)),f19(f18(a5)))),
% 1.05/1.12 inference(scs_inference,[],[50,94,157,443,594,547,104,508,552,491,202,387,545,567,351,410,404,493,362,308,122,214,82,77,3,21,25,2,20,88,90,89,69,68,65,73,72,64,86,81,63,66,4,91,40,18,14,12,9,62,6,16,15,11,10,7,17,5,13,8,22,87])).
% 1.05/1.12 cnf(661,plain,
% 1.05/1.12 (P12(x6611,x6611)),
% 1.05/1.12 inference(rename_variables,[],[50])).
% 1.05/1.12 cnf(673,plain,
% 1.05/1.12 ($false),
% 1.05/1.12 inference(scs_inference,[],[97,44,50,661,555,364,626,639,590,585,336,143,491,258,276,221,17,82,77,75,76,24,3,21,25,2,33,642,85]),
% 1.05/1.12 ['proof']).
% 1.05/1.12 % SZS output end Proof
% 1.05/1.12 % Total time :0.450000s
%------------------------------------------------------------------------------