TSTP Solution File: SEU117+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU117+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 0.19s 0.69s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU117+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 23 14:34:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.68 %-------------------------------------------
% 0.19/0.68 % File :CSE---1.6
% 0.19/0.68 % Problem :theBenchmark
% 0.19/0.68 % Transform :cnf
% 0.19/0.68 % Format :tptp:raw
% 0.19/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.68
% 0.19/0.68 % Result :Theorem 0.060000s
% 0.19/0.68 % Output :CNFRefutation 0.060000s
% 0.19/0.68 %-------------------------------------------
% 0.19/0.68 %------------------------------------------------------------------------------
% 0.19/0.68 % File : SEU117+1 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.68 % Domain : Set theory
% 0.19/0.68 % Problem : Boolean domains, theorem 32
% 0.19/0.68 % Version : [Urb06] axioms : Especial.
% 0.19/0.68 % English :
% 0.19/0.68
% 0.19/0.68 % Refs : [TD90] Trybulec & Darmochwal (1990), Boolean Domains
% 0.19/0.68 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.19/0.68 % Source : [Urb06]
% 0.19/0.68 % Names : finsub_1__t32_finsub_1 [Urb06]
% 0.19/0.68
% 0.19/0.68 % Status : Theorem
% 0.19/0.68 % Rating : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.23 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.17 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0, 0.14 v3.2.0
% 0.19/0.68 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 0.19/0.68 % Number of atoms : 87 ( 3 equ)
% 0.19/0.68 % Maximal formula atoms : 10 ( 2 avg)
% 0.19/0.68 % Number of connectives : 72 ( 17 ~; 1 |; 35 &)
% 0.19/0.68 % ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% 0.19/0.68 % Maximal formula depth : 12 ( 5 avg)
% 0.19/0.68 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.68 % Number of predicates : 17 ( 16 usr; 0 prp; 1-2 aty)
% 0.19/0.68 % Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% 0.19/0.68 % Number of variables : 53 ( 43 !; 10 ?)
% 0.19/0.68 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.68
% 0.19/0.68 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.68 % library, www.mizar.org
% 0.19/0.68 %------------------------------------------------------------------------------
% 0.19/0.68 fof(fc1_xboole_0,axiom,
% 0.19/0.68 empty(empty_set) ).
% 0.19/0.68
% 0.19/0.68 fof(cc2_finsub_1,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ( ( cup_closed(A)
% 0.19/0.68 & diff_closed(A) )
% 0.19/0.68 => preboolean(A) ) ).
% 0.19/0.68
% 0.19/0.68 fof(cc1_finset_1,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ( empty(A)
% 0.19/0.68 => finite(A) ) ).
% 0.19/0.68
% 0.19/0.68 fof(t2_subset,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ( element(A,B)
% 0.19/0.68 => ( empty(B)
% 0.19/0.68 | in(A,B) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(t5_subset,axiom,
% 0.19/0.68 ! [A,B,C] :
% 0.19/0.68 ~ ( in(A,B)
% 0.19/0.68 & element(B,powerset(C))
% 0.19/0.68 & empty(C) ) ).
% 0.19/0.68
% 0.19/0.68 fof(t6_boole,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ( empty(A)
% 0.19/0.68 => A = empty_set ) ).
% 0.19/0.68
% 0.19/0.68 fof(t8_boole,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ~ ( empty(A)
% 0.19/0.68 & A != B
% 0.19/0.68 & empty(B) ) ).
% 0.19/0.68
% 0.19/0.68 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.68 ! [A,B] : subset(A,A) ).
% 0.19/0.68
% 0.19/0.68 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ( in(A,B)
% 0.19/0.68 => ~ in(B,A) ) ).
% 0.19/0.68
% 0.19/0.68 fof(existence_m1_subset_1,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ? [B] : element(B,A) ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k5_finsub_1,axiom,
% 0.19/0.68 ! [A] : preboolean(finite_subsets(A)) ).
% 0.19/0.68
% 0.19/0.68 fof(fc1_finsub_1,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ( ~ empty(powerset(A))
% 0.19/0.68 & cup_closed(powerset(A))
% 0.19/0.68 & diff_closed(powerset(A))
% 0.19/0.68 & preboolean(powerset(A)) ) ).
% 0.19/0.68
% 0.19/0.68 fof(fc2_finsub_1,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ( ~ empty(finite_subsets(A))
% 0.19/0.69 & cup_closed(finite_subsets(A))
% 0.19/0.69 & diff_closed(finite_subsets(A))
% 0.19/0.69 & preboolean(finite_subsets(A)) ) ).
% 0.19/0.69
% 0.19/0.69 fof(cc1_finsub_1,axiom,
% 0.19/0.69 ! [A] :
% 0.19/0.69 ( preboolean(A)
% 0.19/0.69 => ( cup_closed(A)
% 0.19/0.69 & diff_closed(A) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(cc3_finsub_1,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( element(B,finite_subsets(A))
% 0.19/0.69 => finite(B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc1_finsub_1,axiom,
% 0.19/0.69 ? [A] :
% 0.19/0.69 ( ~ empty(A)
% 0.19/0.69 & cup_closed(A)
% 0.19/0.69 & cap_closed(A)
% 0.19/0.69 & diff_closed(A)
% 0.19/0.69 & preboolean(A) ) ).
% 0.19/0.69
% 0.19/0.69 fof(cc2_finset_1,axiom,
% 0.19/0.69 ! [A] :
% 0.19/0.69 ( finite(A)
% 0.19/0.69 => ! [B] :
% 0.19/0.69 ( element(B,powerset(A))
% 0.19/0.69 => finite(B) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc1_finset_1,axiom,
% 0.19/0.69 ? [A] :
% 0.19/0.69 ( ~ empty(A)
% 0.19/0.69 & finite(A) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc2_finset_1,axiom,
% 0.19/0.69 ! [A] :
% 0.19/0.69 ? [B] :
% 0.19/0.69 ( element(B,powerset(A))
% 0.19/0.69 & empty(B)
% 0.19/0.69 & relation(B)
% 0.19/0.69 & function(B)
% 0.19/0.69 & one_to_one(B)
% 0.19/0.69 & epsilon_transitive(B)
% 0.19/0.69 & epsilon_connected(B)
% 0.19/0.69 & ordinal(B)
% 0.19/0.69 & natural(B)
% 0.19/0.69 & finite(B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc3_finset_1,axiom,
% 0.19/0.69 ! [A] :
% 0.19/0.69 ( ~ empty(A)
% 0.19/0.69 => ? [B] :
% 0.19/0.69 ( element(B,powerset(A))
% 0.19/0.69 & ~ empty(B)
% 0.19/0.69 & finite(B) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc4_finset_1,axiom,
% 0.19/0.69 ! [A] :
% 0.19/0.69 ( ~ empty(A)
% 0.19/0.69 => ? [B] :
% 0.19/0.69 ( element(B,powerset(A))
% 0.19/0.69 & ~ empty(B)
% 0.19/0.69 & finite(B) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(fc1_subset_1,axiom,
% 0.19/0.69 ! [A] : ~ empty(powerset(A)) ).
% 0.19/0.69
% 0.19/0.69 fof(rc1_subset_1,axiom,
% 0.19/0.69 ! [A] :
% 0.19/0.69 ( ~ empty(A)
% 0.19/0.69 => ? [B] :
% 0.19/0.69 ( element(B,powerset(A))
% 0.19/0.69 & ~ empty(B) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc2_subset_1,axiom,
% 0.19/0.69 ! [A] :
% 0.19/0.69 ? [B] :
% 0.19/0.69 ( element(B,powerset(A))
% 0.19/0.69 & empty(B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc1_xboole_0,axiom,
% 0.19/0.69 ? [A] : empty(A) ).
% 0.19/0.69
% 0.19/0.69 fof(rc2_xboole_0,axiom,
% 0.19/0.69 ? [A] : ~ empty(A) ).
% 0.19/0.69
% 0.19/0.69 fof(t1_subset,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( in(A,B)
% 0.19/0.69 => element(A,B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t3_subset,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( element(A,powerset(B))
% 0.19/0.69 <=> subset(A,B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t4_subset,axiom,
% 0.19/0.69 ! [A,B,C] :
% 0.19/0.69 ( ( in(A,B)
% 0.19/0.69 & element(B,powerset(C)) )
% 0.19/0.69 => element(A,C) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t7_boole,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ~ ( in(A,B)
% 0.19/0.69 & empty(B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t32_finsub_1,conjecture,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( element(B,finite_subsets(A))
% 0.19/0.69 => element(B,powerset(A)) ) ).
% 0.19/0.69
% 0.19/0.69 fof(d5_finsub_1,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( preboolean(B)
% 0.19/0.69 => ( B = finite_subsets(A)
% 0.19/0.69 <=> ! [C] :
% 0.19/0.69 ( in(C,B)
% 0.19/0.69 <=> ( subset(C,A)
% 0.19/0.69 & finite(C) ) ) ) ) ).
% 0.19/0.69
% 0.19/0.69 %------------------------------------------------------------------------------
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 % Proof found
% 0.19/0.69 % SZS status Theorem for theBenchmark
% 0.19/0.69 % SZS output start Proof
% 0.19/0.69 %ClaNum:98(EqnAxiom:32)
% 0.19/0.69 %VarNum:151(SingletonVarNum:74)
% 0.19/0.69 %MaxLitNum:5
% 0.19/0.69 %MaxfuncDepth:1
% 0.19/0.69 %SharedTerms:21
% 0.19/0.69 %goalClause: 58 68
% 0.19/0.69 %singleGoalClaCount:2
% 0.19/0.69 [33]P1(a1)
% 0.19/0.69 [34]P1(a2)
% 0.19/0.69 [35]P2(a3)
% 0.19/0.69 [36]P4(a3)
% 0.19/0.69 [37]P6(a3)
% 0.19/0.69 [38]P7(a9)
% 0.19/0.69 [39]P3(a3)
% 0.19/0.69 [62]~P1(a3)
% 0.19/0.69 [63]~P1(a9)
% 0.19/0.69 [64]~P1(a6)
% 0.19/0.69 [58]P5(a4,f16(a5))
% 0.19/0.69 [68]~P5(a4,f15(a5))
% 0.19/0.69 [57]P16(x571,x571)
% 0.19/0.69 [40]P1(f10(x401))
% 0.19/0.69 [41]P1(f11(x411))
% 0.19/0.69 [42]P2(f15(x421))
% 0.19/0.69 [43]P2(f16(x431))
% 0.19/0.69 [44]P4(f15(x441))
% 0.19/0.69 [45]P4(f16(x451))
% 0.19/0.69 [46]P6(f15(x461))
% 0.19/0.69 [48]P6(f16(x481))
% 0.19/0.69 [49]P7(f10(x491))
% 0.19/0.69 [50]P15(f10(x501))
% 0.19/0.69 [51]P10(f10(x511))
% 0.19/0.69 [52]P11(f10(x521))
% 0.19/0.69 [53]P8(f10(x531))
% 0.19/0.69 [54]P9(f10(x541))
% 0.19/0.69 [55]P14(f10(x551))
% 0.19/0.69 [56]P12(f10(x561))
% 0.19/0.69 [59]P5(f7(x591),x591)
% 0.19/0.69 [60]P5(f10(x601),f15(x601))
% 0.19/0.69 [61]P5(f11(x611),f15(x611))
% 0.19/0.69 [66]~P1(f15(x661))
% 0.19/0.69 [67]~P1(f16(x671))
% 0.19/0.69 [69]~P1(x691)+E(x691,a1)
% 0.19/0.69 [70]~P6(x701)+P2(x701)
% 0.19/0.69 [71]~P6(x711)+P4(x711)
% 0.19/0.69 [72]~P1(x721)+P7(x721)
% 0.19/0.69 [73]P1(x731)+P7(f12(x731))
% 0.19/0.69 [74]P1(x741)+P7(f13(x741))
% 0.19/0.69 [77]P1(x771)+~P1(f12(x771))
% 0.19/0.69 [78]P1(x781)+~P1(f13(x781))
% 0.19/0.69 [79]P1(x791)+~P1(f14(x791))
% 0.19/0.69 [81]P1(x811)+P5(f12(x811),f15(x811))
% 0.19/0.69 [82]P1(x821)+P5(f13(x821),f15(x821))
% 0.19/0.69 [83]P1(x831)+P5(f14(x831),f15(x831))
% 0.19/0.69 [80]~P1(x801)+~P13(x802,x801)
% 0.19/0.69 [85]~P13(x851,x852)+P5(x851,x852)
% 0.19/0.69 [90]~P13(x902,x901)+~P13(x901,x902)
% 0.19/0.69 [84]P7(x841)+~P5(x841,f16(x842))
% 0.19/0.69 [88]~P16(x881,x882)+P5(x881,f15(x882))
% 0.19/0.69 [91]P16(x911,x912)+~P5(x911,f15(x912))
% 0.19/0.69 [76]~P2(x761)+~P4(x761)+P6(x761)
% 0.19/0.69 [75]~P1(x752)+~P1(x751)+E(x751,x752)
% 0.19/0.69 [86]~P5(x862,x861)+P1(x861)+P13(x862,x861)
% 0.19/0.69 [89]P7(x891)+~P7(x892)+~P5(x891,f15(x892))
% 0.19/0.69 [94]~P1(x941)+~P13(x942,x943)+~P5(x943,f15(x941))
% 0.19/0.69 [95]P5(x951,x952)+~P13(x951,x953)+~P5(x953,f15(x952))
% 0.19/0.69 [96]~P6(x961)+P13(f8(x962,x961),x961)+E(x961,f16(x962))+P7(f8(x962,x961))
% 0.19/0.69 [97]~P6(x971)+P13(f8(x972,x971),x971)+P16(f8(x972,x971),x972)+E(x971,f16(x972))
% 0.19/0.69 [87]~P6(x872)+~P13(x871,x872)+P7(x871)+~E(x872,f16(x873))
% 0.19/0.69 [92]~P6(x923)+~P13(x921,x923)+P16(x921,x922)+~E(x923,f16(x922))
% 0.19/0.69 [98]~P6(x981)+~P13(f8(x982,x981),x981)+~P16(f8(x982,x981),x982)+E(x981,f16(x982))+~P7(f8(x982,x981))
% 0.19/0.69 [93]~P6(x932)+~P7(x931)+~P16(x931,x933)+P13(x931,x932)+~E(x932,f16(x933))
% 0.19/0.69 %EqnAxiom
% 0.19/0.69 [1]E(x11,x11)
% 0.19/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.69 [4]~E(x41,x42)+E(f10(x41),f10(x42))
% 0.19/0.69 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 0.19/0.69 [6]~E(x61,x62)+E(f15(x61),f15(x62))
% 0.19/0.69 [7]~E(x71,x72)+E(f16(x71),f16(x72))
% 0.19/0.69 [8]~E(x81,x82)+E(f14(x81),f14(x82))
% 0.19/0.69 [9]~E(x91,x92)+E(f13(x91),f13(x92))
% 0.19/0.69 [10]~E(x101,x102)+E(f12(x101),f12(x102))
% 0.19/0.69 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 0.19/0.69 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 0.19/0.69 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 0.19/0.69 [14]~P1(x141)+P1(x142)+~E(x141,x142)
% 0.19/0.69 [15]P16(x152,x153)+~E(x151,x152)+~P16(x151,x153)
% 0.19/0.69 [16]P16(x163,x162)+~E(x161,x162)+~P16(x163,x161)
% 0.19/0.69 [17]~P2(x171)+P2(x172)+~E(x171,x172)
% 0.19/0.69 [18]~P4(x181)+P4(x182)+~E(x181,x182)
% 0.19/0.69 [19]~P6(x191)+P6(x192)+~E(x191,x192)
% 0.19/0.69 [20]~P7(x201)+P7(x202)+~E(x201,x202)
% 0.19/0.69 [21]~P3(x211)+P3(x212)+~E(x211,x212)
% 0.19/0.69 [22]P13(x222,x223)+~E(x221,x222)+~P13(x221,x223)
% 0.19/0.69 [23]P13(x233,x232)+~E(x231,x232)+~P13(x233,x231)
% 0.19/0.69 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 0.19/0.69 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 0.19/0.69 [26]~P12(x261)+P12(x262)+~E(x261,x262)
% 0.19/0.69 [27]~P14(x271)+P14(x272)+~E(x271,x272)
% 0.19/0.69 [28]~P9(x281)+P9(x282)+~E(x281,x282)
% 0.19/0.69 [29]~P8(x291)+P8(x292)+~E(x291,x292)
% 0.19/0.69 [30]~P11(x301)+P11(x302)+~E(x301,x302)
% 0.19/0.69 [31]~P10(x311)+P10(x312)+~E(x311,x312)
% 0.19/0.69 [32]~P15(x321)+P15(x322)+~E(x321,x322)
% 0.19/0.69
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 cnf(99,plain,
% 0.19/0.69 (~P13(a4,f15(a5))),
% 0.19/0.69 inference(scs_inference,[],[68,85])).
% 0.19/0.69 cnf(100,plain,
% 0.19/0.69 (~P13(x1001,a1)),
% 0.19/0.69 inference(scs_inference,[],[33,68,85,80])).
% 0.19/0.69 cnf(101,plain,
% 0.19/0.69 (P7(a4)),
% 0.19/0.69 inference(scs_inference,[],[58,33,68,85,80,84])).
% 0.19/0.69 cnf(104,plain,
% 0.19/0.69 (P5(f7(x1041),x1041)),
% 0.19/0.69 inference(rename_variables,[],[59])).
% 0.19/0.69 cnf(106,plain,
% 0.19/0.69 (~P16(a4,a5)),
% 0.19/0.69 inference(scs_inference,[],[58,33,68,59,85,80,84,91,88])).
% 0.19/0.69 cnf(109,plain,
% 0.19/0.69 (~E(f7(f15(a5)),a4)),
% 0.19/0.69 inference(scs_inference,[],[58,33,68,59,104,85,80,84,91,88,25,24])).
% 0.19/0.69 cnf(110,plain,
% 0.19/0.69 (P5(f7(x1101),x1101)),
% 0.19/0.69 inference(rename_variables,[],[59])).
% 0.19/0.69 cnf(112,plain,
% 0.19/0.69 (P13(f7(a3),a3)),
% 0.19/0.69 inference(scs_inference,[],[58,57,33,62,68,59,104,110,85,80,84,91,88,25,24,16,86])).
% 0.19/0.69 cnf(113,plain,
% 0.19/0.69 (P5(f7(x1131),x1131)),
% 0.19/0.69 inference(rename_variables,[],[59])).
% 0.19/0.69 cnf(118,plain,
% 0.19/0.69 (~P13(x1181,f7(f15(a1)))),
% 0.19/0.69 inference(scs_inference,[],[58,57,33,62,68,59,104,110,113,60,85,80,84,91,88,25,24,16,86,95,94])).
% 0.19/0.69 cnf(119,plain,
% 0.19/0.69 (P5(f7(x1191),x1191)),
% 0.19/0.69 inference(rename_variables,[],[59])).
% 0.19/0.69 cnf(126,plain,
% 0.19/0.69 (P7(a1)),
% 0.19/0.69 inference(scs_inference,[],[58,57,33,38,62,68,59,104,110,113,119,60,85,80,84,91,88,25,24,16,86,95,94,89,2,90,72])).
% 0.19/0.69 cnf(128,plain,
% 0.19/0.69 (E(a2,a1)),
% 0.19/0.69 inference(scs_inference,[],[58,57,33,34,38,62,68,59,104,110,113,119,60,85,80,84,91,88,25,24,16,86,95,94,89,2,90,72,69])).
% 0.19/0.69 cnf(140,plain,
% 0.19/0.69 (E(f8(x1401,a2),f8(x1401,a1))),
% 0.19/0.69 inference(scs_inference,[],[58,57,33,34,38,62,68,59,104,110,113,119,60,85,80,84,91,88,25,24,16,86,95,94,89,2,90,72,69,79,78,77,74,73,13])).
% 0.19/0.69 cnf(141,plain,
% 0.19/0.69 (E(f8(a2,x1411),f8(a1,x1411))),
% 0.19/0.69 inference(scs_inference,[],[58,57,33,34,38,62,68,59,104,110,113,119,60,85,80,84,91,88,25,24,16,86,95,94,89,2,90,72,69,79,78,77,74,73,13,12])).
% 0.19/0.69 cnf(146,plain,
% 0.19/0.69 (E(f16(a2),f16(a1))),
% 0.19/0.69 inference(scs_inference,[],[58,57,33,34,38,62,68,59,104,110,113,119,60,85,80,84,91,88,25,24,16,86,95,94,89,2,90,72,69,79,78,77,74,73,13,12,11,10,9,8,7])).
% 0.19/0.69 cnf(149,plain,
% 0.19/0.69 (E(f10(a2),f10(a1))),
% 0.19/0.69 inference(scs_inference,[],[58,57,33,34,38,62,68,59,104,110,113,119,60,85,80,84,91,88,25,24,16,86,95,94,89,2,90,72,69,79,78,77,74,73,13,12,11,10,9,8,7,6,5,4])).
% 0.19/0.70 cnf(169,plain,
% 0.19/0.70 (~P5(a3,f15(f10(x1691)))),
% 0.19/0.70 inference(scs_inference,[],[40,112,94])).
% 0.19/0.70 cnf(171,plain,
% 0.19/0.70 (E(f8(x1711,a1),f8(x1711,a2))),
% 0.19/0.70 inference(scs_inference,[],[40,140,112,94,2])).
% 0.19/0.70 cnf(173,plain,
% 0.19/0.70 (P5(f11(x1731),f15(x1731))),
% 0.19/0.70 inference(rename_variables,[],[61])).
% 0.19/0.70 cnf(175,plain,
% 0.19/0.70 (E(f8(x1751,a2),f8(x1751,a1))),
% 0.19/0.70 inference(rename_variables,[],[140])).
% 0.19/0.70 cnf(179,plain,
% 0.19/0.70 (P5(f7(x1791),x1791)),
% 0.19/0.70 inference(rename_variables,[],[59])).
% 0.19/0.70 cnf(182,plain,
% 0.19/0.70 (P5(f11(x1821),f15(x1821))),
% 0.19/0.70 inference(rename_variables,[],[61])).
% 0.19/0.70 cnf(187,plain,
% 0.19/0.70 (P16(x1871,x1871)),
% 0.19/0.70 inference(rename_variables,[],[57])).
% 0.19/0.70 cnf(200,plain,
% 0.19/0.70 (~P13(a4,f16(x2001))+~E(f16(x2001),f16(a5))),
% 0.19/0.70 inference(scs_inference,[],[63,40,41,61,173,182,48,49,59,179,57,187,68,118,140,175,141,99,100,112,106,128,94,2,24,3,86,95,88,15,23,14,22,89,25,16,75,92])).
% 0.19/0.70 cnf(209,plain,
% 0.19/0.70 (~P13(a4,f16(a5))),
% 0.19/0.70 inference(equality_inference,[],[200])).
% 0.19/0.70 cnf(220,plain,
% 0.19/0.70 (P13(f10(x2201),f15(x2201))),
% 0.19/0.70 inference(scs_inference,[],[66,60,48,57,109,171,169,126,141,146,93,88,2,3,86])).
% 0.19/0.70 cnf(260,plain,
% 0.19/0.70 (P13(f10(x2601),f15(x2601))),
% 0.19/0.70 inference(rename_variables,[],[220])).
% 0.19/0.70 cnf(272,plain,
% 0.19/0.70 ($false),
% 0.19/0.70 inference(scs_inference,[],[67,41,59,48,57,220,260,209,101,149,58,22,72,84,90,93,86]),
% 0.19/0.70 ['proof']).
% 0.19/0.70 % SZS output end Proof
% 0.19/0.70 % Total time :0.060000s
%------------------------------------------------------------------------------