TSTP Solution File: NUM394+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM394+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 : n023.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 10:21:55 EDT 2023
% Result : Theorem 0.52s 0.71s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM394+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n023.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 : Fri Aug 25 16:57:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.51/0.59 start to proof:theBenchmark
% 0.51/0.70 %-------------------------------------------
% 0.51/0.70 % File :CSE---1.6
% 0.51/0.70 % Problem :theBenchmark
% 0.51/0.70 % Transform :cnf
% 0.51/0.70 % Format :tptp:raw
% 0.51/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.70
% 0.51/0.70 % Result :Theorem 0.050000s
% 0.51/0.70 % Output :CNFRefutation 0.050000s
% 0.51/0.70 %-------------------------------------------
% 0.51/0.70 %------------------------------------------------------------------------------
% 0.51/0.70 % File : NUM394+1 : TPTP v8.1.2. Released v3.2.0.
% 0.51/0.70 % Domain : Number Theory (Ordinals)
% 0.51/0.70 % Problem : Ordinal numbers, theorem 26
% 0.51/0.70 % Version : [Urb06] axioms : Especial.
% 0.51/0.70 % English :
% 0.51/0.70
% 0.51/0.70 % Refs : [Ban90] Bancerek (1990), The Ordinal Numbers
% 0.51/0.70 % [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.51/0.70 % Source : [Urb06]
% 0.51/0.70 % Names : ordinal1__t26_ordinal1 [Urb06]
% 0.51/0.70
% 0.51/0.70 % Status : Theorem
% 0.51/0.70 % Rating : 0.14 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.07 v3.2.0
% 0.51/0.70 % Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% 0.51/0.70 % Number of atoms : 94 ( 3 equ)
% 0.51/0.70 % Maximal formula atoms : 6 ( 2 avg)
% 0.51/0.70 % Number of connectives : 69 ( 11 ~; 3 |; 34 &)
% 0.51/0.70 % ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% 0.51/0.70 % Maximal formula depth : 9 ( 4 avg)
% 0.51/0.70 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.70 % Number of predicates : 14 ( 13 usr; 0 prp; 1-2 aty)
% 0.51/0.70 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.51/0.71 % Number of variables : 51 ( 39 !; 12 ?)
% 0.51/0.71 % SPC : FOF_THM_RFO_SEQ
% 0.51/0.71
% 0.51/0.71 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.51/0.71 % library, www.mizar.org
% 0.51/0.71 %------------------------------------------------------------------------------
% 0.51/0.71 fof(antisymmetry_r2_hidden,axiom,
% 0.51/0.71 ! [A,B] :
% 0.51/0.71 ( in(A,B)
% 0.51/0.71 => ~ in(B,A) ) ).
% 0.51/0.71
% 0.51/0.71 fof(cc1_funct_1,axiom,
% 0.51/0.71 ! [A] :
% 0.51/0.71 ( empty(A)
% 0.51/0.71 => function(A) ) ).
% 0.51/0.71
% 0.51/0.71 fof(cc1_ordinal1,axiom,
% 0.51/0.71 ! [A] :
% 0.51/0.71 ( ordinal(A)
% 0.51/0.71 => ( epsilon_transitive(A)
% 0.51/0.71 & epsilon_connected(A) ) ) ).
% 0.51/0.71
% 0.51/0.71 fof(cc1_relat_1,axiom,
% 0.51/0.71 ! [A] :
% 0.51/0.71 ( empty(A)
% 0.51/0.71 => relation(A) ) ).
% 0.51/0.71
% 0.51/0.71 fof(cc2_funct_1,axiom,
% 0.51/0.71 ! [A] :
% 0.51/0.71 ( ( relation(A)
% 0.51/0.71 & empty(A)
% 0.51/0.71 & function(A) )
% 0.51/0.71 => ( relation(A)
% 0.51/0.71 & function(A)
% 0.51/0.71 & one_to_one(A) ) ) ).
% 0.51/0.71
% 0.51/0.71 fof(cc2_ordinal1,axiom,
% 0.51/0.71 ! [A] :
% 0.51/0.71 ( ( epsilon_transitive(A)
% 0.51/0.71 & epsilon_connected(A) )
% 0.51/0.71 => ordinal(A) ) ).
% 0.51/0.71
% 0.51/0.71 fof(connectedness_r1_ordinal1,axiom,
% 0.51/0.71 ! [A,B] :
% 0.51/0.71 ( ( ordinal(A)
% 0.51/0.71 & ordinal(B) )
% 0.51/0.71 => ( ordinal_subset(A,B)
% 0.51/0.71 | ordinal_subset(B,A) ) ) ).
% 0.51/0.71
% 0.51/0.71 fof(d2_ordinal1,axiom,
% 0.51/0.71 ! [A] :
% 0.51/0.71 ( epsilon_transitive(A)
% 0.51/0.71 <=> ! [B] :
% 0.51/0.71 ( in(B,A)
% 0.51/0.71 => subset(B,A) ) ) ).
% 0.51/0.71
% 0.51/0.71 fof(existence_m1_subset_1,axiom,
% 0.51/0.71 ! [A] :
% 0.51/0.71 ? [B] : element(B,A) ).
% 0.51/0.71
% 0.51/0.71 fof(fc12_relat_1,axiom,
% 0.51/0.71 ( empty(empty_set)
% 0.51/0.71 & relation(empty_set)
% 0.52/0.71 & relation_empty_yielding(empty_set) ) ).
% 0.52/0.71
% 0.52/0.71 fof(fc1_xboole_0,axiom,
% 0.52/0.71 empty(empty_set) ).
% 0.52/0.71
% 0.52/0.71 fof(fc4_relat_1,axiom,
% 0.52/0.71 ( empty(empty_set)
% 0.52/0.71 & relation(empty_set) ) ).
% 0.52/0.71
% 0.52/0.71 fof(rc1_funct_1,axiom,
% 0.52/0.71 ? [A] :
% 0.52/0.71 ( relation(A)
% 0.52/0.71 & function(A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(rc1_ordinal1,axiom,
% 0.52/0.71 ? [A] :
% 0.52/0.71 ( epsilon_transitive(A)
% 0.52/0.71 & epsilon_connected(A)
% 0.52/0.71 & ordinal(A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(rc1_relat_1,axiom,
% 0.52/0.71 ? [A] :
% 0.52/0.71 ( empty(A)
% 0.52/0.71 & relation(A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(rc1_xboole_0,axiom,
% 0.52/0.71 ? [A] : empty(A) ).
% 0.52/0.71
% 0.52/0.71 fof(rc2_funct_1,axiom,
% 0.52/0.71 ? [A] :
% 0.52/0.71 ( relation(A)
% 0.52/0.71 & empty(A)
% 0.52/0.71 & function(A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(rc2_relat_1,axiom,
% 0.52/0.71 ? [A] :
% 0.52/0.71 ( ~ empty(A)
% 0.52/0.71 & relation(A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(rc2_xboole_0,axiom,
% 0.52/0.71 ? [A] : ~ empty(A) ).
% 0.52/0.71
% 0.52/0.71 fof(rc3_funct_1,axiom,
% 0.52/0.71 ? [A] :
% 0.52/0.71 ( relation(A)
% 0.52/0.71 & function(A)
% 0.52/0.71 & one_to_one(A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(rc3_relat_1,axiom,
% 0.52/0.71 ? [A] :
% 0.52/0.71 ( relation(A)
% 0.52/0.71 & relation_empty_yielding(A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(rc4_funct_1,axiom,
% 0.52/0.71 ? [A] :
% 0.52/0.71 ( relation(A)
% 0.52/0.71 & relation_empty_yielding(A)
% 0.52/0.71 & function(A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(rc5_funct_1,axiom,
% 0.52/0.71 ? [A] :
% 0.52/0.71 ( relation(A)
% 0.52/0.71 & relation_non_empty(A)
% 0.52/0.71 & function(A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(redefinition_r1_ordinal1,axiom,
% 0.52/0.71 ! [A,B] :
% 0.52/0.71 ( ( ordinal(A)
% 0.52/0.71 & ordinal(B) )
% 0.52/0.71 => ( ordinal_subset(A,B)
% 0.52/0.71 <=> subset(A,B) ) ) ).
% 0.52/0.71
% 0.52/0.71 fof(reflexivity_r1_ordinal1,axiom,
% 0.52/0.71 ! [A,B] :
% 0.52/0.71 ( ( ordinal(A)
% 0.52/0.71 & ordinal(B) )
% 0.52/0.71 => ordinal_subset(A,A) ) ).
% 0.52/0.71
% 0.52/0.71 fof(reflexivity_r1_tarski,axiom,
% 0.52/0.71 ! [A,B] : subset(A,A) ).
% 0.52/0.71
% 0.52/0.71 fof(t1_subset,axiom,
% 0.52/0.71 ! [A,B] :
% 0.52/0.71 ( in(A,B)
% 0.52/0.71 => element(A,B) ) ).
% 0.52/0.71
% 0.52/0.71 fof(t24_ordinal1,axiom,
% 0.52/0.71 ! [A] :
% 0.52/0.71 ( ordinal(A)
% 0.52/0.71 => ! [B] :
% 0.52/0.71 ( ordinal(B)
% 0.52/0.71 => ~ ( ~ in(A,B)
% 0.52/0.71 & A != B
% 0.52/0.71 & ~ in(B,A) ) ) ) ).
% 0.52/0.71
% 0.52/0.71 fof(t26_ordinal1,conjecture,
% 0.52/0.71 ! [A] :
% 0.52/0.71 ( ordinal(A)
% 0.52/0.71 => ! [B] :
% 0.52/0.71 ( ordinal(B)
% 0.52/0.71 => ( ordinal_subset(A,B)
% 0.52/0.71 | in(B,A) ) ) ) ).
% 0.52/0.71
% 0.52/0.71 fof(t2_subset,axiom,
% 0.52/0.71 ! [A,B] :
% 0.52/0.71 ( element(A,B)
% 0.52/0.71 => ( empty(B)
% 0.52/0.71 | in(A,B) ) ) ).
% 0.52/0.71
% 0.52/0.71 fof(t3_subset,axiom,
% 0.52/0.71 ! [A,B] :
% 0.52/0.71 ( element(A,powerset(B))
% 0.52/0.71 <=> subset(A,B) ) ).
% 0.52/0.71
% 0.52/0.71 fof(t4_subset,axiom,
% 0.52/0.71 ! [A,B,C] :
% 0.52/0.71 ( ( in(A,B)
% 0.52/0.71 & element(B,powerset(C)) )
% 0.52/0.71 => element(A,C) ) ).
% 0.52/0.71
% 0.52/0.71 fof(t5_subset,axiom,
% 0.52/0.71 ! [A,B,C] :
% 0.52/0.71 ~ ( in(A,B)
% 0.52/0.71 & element(B,powerset(C))
% 0.52/0.71 & empty(C) ) ).
% 0.52/0.71
% 0.52/0.71 fof(t6_boole,axiom,
% 0.52/0.71 ! [A] :
% 0.52/0.71 ( empty(A)
% 0.52/0.71 => A = empty_set ) ).
% 0.52/0.71
% 0.52/0.71 fof(t7_boole,axiom,
% 0.52/0.71 ! [A,B] :
% 0.52/0.71 ~ ( in(A,B)
% 0.52/0.71 & empty(B) ) ).
% 0.52/0.71
% 0.52/0.71 fof(t8_boole,axiom,
% 0.52/0.71 ! [A,B] :
% 0.52/0.71 ~ ( empty(A)
% 0.52/0.71 & A != B
% 0.52/0.71 & empty(B) ) ).
% 0.52/0.71
% 0.52/0.71 %------------------------------------------------------------------------------
% 0.52/0.71 %-------------------------------------------
% 0.52/0.71 % Proof found
% 0.52/0.71 % SZS status Theorem for theBenchmark
% 0.52/0.71 % SZS output start Proof
% 0.52/0.71 %ClaNum:84(EqnAxiom:23)
% 0.52/0.71 %VarNum:101(SingletonVarNum:43)
% 0.52/0.71 %MaxLitNum:5
% 0.52/0.71 %MaxfuncDepth:1
% 0.52/0.71 %SharedTerms:46
% 0.52/0.71 %goalClause: 36 37 59 60
% 0.52/0.71 %singleGoalClaCount:4
% 0.52/0.71 [26]P1(a1)
% 0.52/0.71 [27]P1(a2)
% 0.52/0.71 [28]P1(a13)
% 0.52/0.71 [29]P1(a14)
% 0.52/0.71 [30]P3(a3)
% 0.52/0.71 [31]P3(a14)
% 0.52/0.71 [32]P3(a4)
% 0.52/0.71 [33]P3(a5)
% 0.52/0.71 [34]P3(a7)
% 0.52/0.71 [35]P6(a12)
% 0.52/0.71 [36]P6(a8)
% 0.52/0.71 [37]P6(a9)
% 0.52/0.71 [38]P4(a12)
% 0.52/0.71 [39]P5(a12)
% 0.52/0.71 [41]P9(a1)
% 0.52/0.71 [42]P9(a3)
% 0.52/0.71 [43]P9(a2)
% 0.52/0.71 [44]P9(a14)
% 0.52/0.71 [45]P9(a15)
% 0.52/0.71 [46]P9(a4)
% 0.52/0.71 [47]P9(a6)
% 0.52/0.71 [48]P9(a5)
% 0.52/0.71 [49]P9(a7)
% 0.52/0.71 [50]P7(a4)
% 0.52/0.71 [51]P11(a1)
% 0.52/0.71 [52]P11(a6)
% 0.52/0.71 [53]P11(a5)
% 0.52/0.71 [54]P12(a7)
% 0.52/0.71 [57]~P1(a15)
% 0.52/0.71 [58]~P1(a16)
% 0.52/0.71 [59]~P8(a9,a8)
% 0.52/0.71 [60]~P10(a8,a9)
% 0.52/0.71 [55]P13(x551,x551)
% 0.52/0.71 [56]P2(f10(x561),x561)
% 0.52/0.71 [61]~P1(x611)+E(x611,a1)
% 0.52/0.71 [62]~P1(x621)+P3(x621)
% 0.52/0.71 [63]~P6(x631)+P4(x631)
% 0.52/0.71 [64]~P6(x641)+P5(x641)
% 0.52/0.71 [65]~P1(x651)+P9(x651)
% 0.52/0.71 [68]P4(x681)+P8(f11(x681),x681)
% 0.52/0.71 [72]P4(x721)+~P13(f11(x721),x721)
% 0.52/0.71 [71]~P1(x711)+~P8(x712,x711)
% 0.52/0.71 [73]~P8(x731,x732)+P2(x731,x732)
% 0.52/0.71 [78]~P8(x782,x781)+~P8(x781,x782)
% 0.52/0.71 [75]~P13(x751,x752)+P2(x751,f17(x752))
% 0.52/0.71 [80]P13(x801,x802)+~P2(x801,f17(x802))
% 0.52/0.72 [67]~P4(x671)+~P5(x671)+P6(x671)
% 0.52/0.72 [66]~P1(x662)+~P1(x661)+E(x661,x662)
% 0.52/0.72 [70]~P6(x701)+P10(x701,x701)+~P6(x702)
% 0.52/0.72 [74]~P2(x742,x741)+P1(x741)+P8(x742,x741)
% 0.52/0.72 [77]~P4(x772)+~P8(x771,x772)+P13(x771,x772)
% 0.52/0.72 [83]~P1(x831)+~P8(x832,x833)+~P2(x833,f17(x831))
% 0.52/0.72 [84]P2(x841,x842)+~P8(x841,x843)+~P2(x843,f17(x842))
% 0.52/0.72 [69]~P1(x691)+~P3(x691)+~P9(x691)+P7(x691)
% 0.52/0.72 [76]P10(x762,x761)+~P6(x761)+~P6(x762)+P10(x761,x762)
% 0.52/0.72 [81]~P6(x812)+~P6(x811)+~P13(x811,x812)+P10(x811,x812)
% 0.52/0.72 [82]~P6(x822)+~P6(x821)+~P10(x821,x822)+P13(x821,x822)
% 0.52/0.72 [79]P8(x792,x791)+P8(x791,x792)+~P6(x792)+~P6(x791)+E(x791,x792)
% 0.52/0.72 %EqnAxiom
% 0.52/0.72 [1]E(x11,x11)
% 0.52/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.52/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.52/0.72 [4]~E(x41,x42)+E(f10(x41),f10(x42))
% 0.52/0.72 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 0.52/0.72 [6]~E(x61,x62)+E(f17(x61),f17(x62))
% 0.52/0.72 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.52/0.72 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 0.52/0.72 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 0.52/0.72 [10]P8(x102,x103)+~E(x101,x102)+~P8(x101,x103)
% 0.52/0.72 [11]P8(x113,x112)+~E(x111,x112)+~P8(x113,x111)
% 0.52/0.72 [12]~P6(x121)+P6(x122)+~E(x121,x122)
% 0.52/0.72 [13]P13(x132,x133)+~E(x131,x132)+~P13(x131,x133)
% 0.52/0.72 [14]P13(x143,x142)+~E(x141,x142)+~P13(x143,x141)
% 0.52/0.72 [15]~P4(x151)+P4(x152)+~E(x151,x152)
% 0.52/0.72 [16]~P3(x161)+P3(x162)+~E(x161,x162)
% 0.52/0.72 [17]P10(x172,x173)+~E(x171,x172)+~P10(x171,x173)
% 0.52/0.72 [18]P10(x183,x182)+~E(x181,x182)+~P10(x183,x181)
% 0.52/0.72 [19]~P7(x191)+P7(x192)+~E(x191,x192)
% 0.52/0.72 [20]~P9(x201)+P9(x202)+~E(x201,x202)
% 0.52/0.72 [21]~P12(x211)+P12(x212)+~E(x211,x212)
% 0.52/0.72 [22]~P5(x221)+P5(x222)+~E(x221,x222)
% 0.52/0.72 [23]~P11(x231)+P11(x232)+~E(x231,x232)
% 0.52/0.72
% 0.52/0.72 %-------------------------------------------
% 0.52/0.72 cnf(85,plain,
% 0.52/0.72 (~P8(x851,a1)),
% 0.52/0.72 inference(scs_inference,[],[26,71])).
% 0.52/0.72 cnf(86,plain,
% 0.52/0.72 (P13(f10(f17(x861)),x861)),
% 0.52/0.72 inference(scs_inference,[],[26,56,71,80])).
% 0.52/0.72 cnf(87,plain,
% 0.52/0.72 (P2(f10(x871),x871)),
% 0.52/0.72 inference(rename_variables,[],[56])).
% 0.52/0.72 cnf(89,plain,
% 0.52/0.72 (P4(a1)),
% 0.52/0.72 inference(scs_inference,[],[26,56,71,80,68])).
% 0.52/0.72 cnf(91,plain,
% 0.52/0.72 (P8(f10(a15),a15)),
% 0.52/0.72 inference(scs_inference,[],[26,57,56,87,71,80,68,74])).
% 0.52/0.72 cnf(92,plain,
% 0.52/0.72 (P2(f10(x921),x921)),
% 0.52/0.72 inference(rename_variables,[],[56])).
% 0.52/0.72 cnf(94,plain,
% 0.52/0.72 (~P8(x941,f10(f17(a1)))),
% 0.52/0.72 inference(scs_inference,[],[26,57,56,87,92,71,80,68,74,83])).
% 0.52/0.72 cnf(95,plain,
% 0.52/0.72 (P2(f10(x951),x951)),
% 0.52/0.72 inference(rename_variables,[],[56])).
% 0.52/0.72 cnf(111,plain,
% 0.52/0.72 (P3(a1)),
% 0.52/0.72 inference(scs_inference,[],[36,55,37,26,28,29,31,44,57,56,87,92,71,80,68,74,83,81,76,69,78,65,64,63,62])).
% 0.52/0.72 cnf(113,plain,
% 0.52/0.72 (E(a2,a1)),
% 0.52/0.72 inference(scs_inference,[],[36,55,37,26,27,28,29,31,44,57,56,87,92,71,80,68,74,83,81,76,69,78,65,64,63,62,61])).
% 0.52/0.72 cnf(115,plain,
% 0.52/0.72 (P2(a8,f17(a8))),
% 0.52/0.72 inference(scs_inference,[],[36,55,37,26,27,28,29,31,44,57,56,87,92,71,80,68,74,83,81,76,69,78,65,64,63,62,61,75])).
% 0.52/0.72 cnf(120,plain,
% 0.52/0.72 (~E(a1,x1201)+P11(x1201)),
% 0.52/0.72 inference(scs_inference,[],[36,55,37,26,27,28,29,31,44,51,57,56,87,92,71,80,68,74,83,81,76,69,78,65,64,63,62,61,75,6,5,4,23])).
% 0.52/0.72 cnf(125,plain,
% 0.52/0.72 (~E(a1,a15)),
% 0.52/0.72 inference(scs_inference,[],[36,55,37,60,26,27,28,29,31,44,51,57,56,87,92,71,80,68,74,83,81,76,69,78,65,64,63,62,61,75,6,5,4,23,18,17,11,10,7])).
% 0.52/0.72 cnf(128,plain,
% 0.52/0.72 (E(a1,a2)),
% 0.52/0.72 inference(scs_inference,[],[36,55,37,60,26,27,28,29,31,35,44,51,57,56,87,92,71,80,68,74,83,81,76,69,78,65,64,63,62,61,75,6,5,4,23,18,17,11,10,7,70,2])).
% 0.52/0.72 cnf(130,plain,
% 0.52/0.72 (~P13(a2,x1301)+P13(a1,x1301)),
% 0.52/0.72 inference(scs_inference,[],[36,55,37,60,26,27,28,29,31,35,44,51,57,56,87,92,71,80,68,74,83,81,76,69,78,65,64,63,62,61,75,6,5,4,23,18,17,11,10,7,70,2,14,13])).
% 0.52/0.72 cnf(141,plain,
% 0.52/0.72 (P8(a8,a9)),
% 0.52/0.72 inference(scs_inference,[],[36,55,37,59,60,26,27,28,29,31,35,44,51,57,56,87,92,95,71,80,68,74,83,81,76,69,78,65,64,63,62,61,75,6,5,4,23,18,17,11,10,7,70,2,14,13,9,8,3,77,67,84,79])).
% 0.52/0.72 cnf(151,plain,
% 0.52/0.72 (~P13(a8,a9)),
% 0.52/0.72 inference(scs_inference,[],[36,60,37,141,89,111,128,120,16,15,73,81])).
% 0.52/0.72 cnf(167,plain,
% 0.52/0.72 (P2(f10(x1671),x1671)),
% 0.52/0.72 inference(rename_variables,[],[56])).
% 0.52/0.72 cnf(178,plain,
% 0.52/0.72 (~P2(a9,f17(f17(a9)))),
% 0.52/0.72 inference(scs_inference,[],[36,39,41,58,27,56,167,55,60,37,26,86,94,85,141,115,89,111,113,125,128,120,16,15,73,81,71,83,76,80,75,13,11,8,74,69,2,9,7,130,22,19,84])).
% 0.52/0.72 cnf(200,plain,
% 0.52/0.72 ($false),
% 0.52/0.72 inference(scs_inference,[],[37,28,178,151,91,141,73,83,63,77]),
% 0.52/0.72 ['proof']).
% 0.52/0.72 % SZS output end Proof
% 0.52/0.72 % Total time :0.050000s
%------------------------------------------------------------------------------