TSTP Solution File: NUM414+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM414+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 : n010.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 10:21:58 EDT 2023
% Result : Theorem 0.21s 0.72s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 : Fri Aug 25 09:54:50 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.71 %-------------------------------------------
% 0.21/0.71 % File :CSE---1.6
% 0.21/0.71 % Problem :theBenchmark
% 0.21/0.71 % Transform :cnf
% 0.21/0.71 % Format :tptp:raw
% 0.21/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.71
% 0.21/0.71 % Result :Theorem 0.060000s
% 0.21/0.71 % Output :CNFRefutation 0.060000s
% 0.21/0.71 %-------------------------------------------
% 0.21/0.71 %------------------------------------------------------------------------------
% 0.21/0.71 % File : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.71 % Domain : Number Theory (Ordinals)
% 0.21/0.71 % Problem : Ordinal numbers, theorem 50
% 0.21/0.71 % Version : [Urb06] axioms : Especial.
% 0.21/0.71 % English :
% 0.21/0.71
% 0.21/0.71 % Refs : [Ban89] Bancerek (1989), The Ordinal Numbers
% 0.21/0.71 % [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.21/0.71 % Source : [Urb06]
% 0.21/0.71 % Names : ordinal1__t50_ordinal1 [Urb06]
% 0.21/0.71
% 0.21/0.71 % Status : Theorem
% 0.21/0.71 % Rating : 0.14 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 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 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.17 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.07 v3.2.0
% 0.21/0.71 % Syntax : Number of formulae : 42 ( 6 unt; 0 def)
% 0.21/0.71 % Number of atoms : 119 ( 4 equ)
% 0.21/0.71 % Maximal formula atoms : 8 ( 2 avg)
% 0.21/0.71 % Number of connectives : 92 ( 15 ~; 2 |; 55 &)
% 0.21/0.71 % ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% 0.21/0.71 % Maximal formula depth : 9 ( 4 avg)
% 0.21/0.71 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.71 % Number of predicates : 16 ( 15 usr; 0 prp; 1-2 aty)
% 0.21/0.71 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.21/0.71 % Number of variables : 57 ( 42 !; 15 ?)
% 0.21/0.72 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.72
% 0.21/0.72 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.21/0.72 % library, www.mizar.org
% 0.21/0.72 %------------------------------------------------------------------------------
% 0.21/0.72 fof(antisymmetry_r2_hidden,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ( in(A,B)
% 0.21/0.72 => ~ in(B,A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(antisymmetry_r2_xboole_0,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ( proper_subset(A,B)
% 0.21/0.72 => ~ proper_subset(B,A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(cc1_funct_1,axiom,
% 0.21/0.72 ! [A] :
% 0.21/0.72 ( empty(A)
% 0.21/0.72 => function(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(cc1_ordinal1,axiom,
% 0.21/0.72 ! [A] :
% 0.21/0.72 ( ordinal(A)
% 0.21/0.72 => ( epsilon_transitive(A)
% 0.21/0.72 & epsilon_connected(A) ) ) ).
% 0.21/0.72
% 0.21/0.72 fof(cc1_relat_1,axiom,
% 0.21/0.72 ! [A] :
% 0.21/0.72 ( empty(A)
% 0.21/0.72 => relation(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(cc2_funct_1,axiom,
% 0.21/0.72 ! [A] :
% 0.21/0.72 ( ( relation(A)
% 0.21/0.72 & empty(A)
% 0.21/0.72 & function(A) )
% 0.21/0.72 => ( relation(A)
% 0.21/0.72 & function(A)
% 0.21/0.72 & one_to_one(A) ) ) ).
% 0.21/0.72
% 0.21/0.72 fof(cc2_ordinal1,axiom,
% 0.21/0.72 ! [A] :
% 0.21/0.72 ( ( epsilon_transitive(A)
% 0.21/0.72 & epsilon_connected(A) )
% 0.21/0.72 => ordinal(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(cc3_ordinal1,axiom,
% 0.21/0.72 ! [A] :
% 0.21/0.72 ( empty(A)
% 0.21/0.72 => ( epsilon_transitive(A)
% 0.21/0.72 & epsilon_connected(A)
% 0.21/0.72 & ordinal(A) ) ) ).
% 0.21/0.72
% 0.21/0.72 fof(connectedness_r1_ordinal1,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ( ( ordinal(A)
% 0.21/0.72 & ordinal(B) )
% 0.21/0.72 => ( ordinal_subset(A,B)
% 0.21/0.72 | ordinal_subset(B,A) ) ) ).
% 0.21/0.72
% 0.21/0.72 fof(d8_xboole_0,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ( proper_subset(A,B)
% 0.21/0.72 <=> ( subset(A,B)
% 0.21/0.72 & A != B ) ) ).
% 0.21/0.72
% 0.21/0.72 fof(existence_m1_subset_1,axiom,
% 0.21/0.72 ! [A] :
% 0.21/0.72 ? [B] : element(B,A) ).
% 0.21/0.72
% 0.21/0.72 fof(fc12_relat_1,axiom,
% 0.21/0.72 ( empty(empty_set)
% 0.21/0.72 & relation(empty_set)
% 0.21/0.72 & relation_empty_yielding(empty_set) ) ).
% 0.21/0.72
% 0.21/0.72 fof(fc1_xboole_0,axiom,
% 0.21/0.72 empty(empty_set) ).
% 0.21/0.72
% 0.21/0.72 fof(fc2_ordinal1,axiom,
% 0.21/0.72 ( relation(empty_set)
% 0.21/0.72 & relation_empty_yielding(empty_set)
% 0.21/0.72 & function(empty_set)
% 0.21/0.72 & one_to_one(empty_set)
% 0.21/0.72 & empty(empty_set)
% 0.21/0.72 & epsilon_transitive(empty_set)
% 0.21/0.72 & epsilon_connected(empty_set)
% 0.21/0.72 & ordinal(empty_set) ) ).
% 0.21/0.72
% 0.21/0.72 fof(fc4_relat_1,axiom,
% 0.21/0.72 ( empty(empty_set)
% 0.21/0.72 & relation(empty_set) ) ).
% 0.21/0.72
% 0.21/0.72 fof(irreflexivity_r2_xboole_0,axiom,
% 0.21/0.72 ! [A,B] : ~ proper_subset(A,A) ).
% 0.21/0.72
% 0.21/0.72 fof(rc1_funct_1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( relation(A)
% 0.21/0.72 & function(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc1_ordinal1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( epsilon_transitive(A)
% 0.21/0.72 & epsilon_connected(A)
% 0.21/0.72 & ordinal(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc1_relat_1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( empty(A)
% 0.21/0.72 & relation(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc1_xboole_0,axiom,
% 0.21/0.72 ? [A] : empty(A) ).
% 0.21/0.72
% 0.21/0.72 fof(rc2_funct_1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( relation(A)
% 0.21/0.72 & empty(A)
% 0.21/0.72 & function(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc2_ordinal1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( relation(A)
% 0.21/0.72 & function(A)
% 0.21/0.72 & one_to_one(A)
% 0.21/0.72 & empty(A)
% 0.21/0.72 & epsilon_transitive(A)
% 0.21/0.72 & epsilon_connected(A)
% 0.21/0.72 & ordinal(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc2_relat_1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( ~ empty(A)
% 0.21/0.72 & relation(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc2_xboole_0,axiom,
% 0.21/0.72 ? [A] : ~ empty(A) ).
% 0.21/0.72
% 0.21/0.72 fof(rc3_funct_1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( relation(A)
% 0.21/0.72 & function(A)
% 0.21/0.72 & one_to_one(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc3_ordinal1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( ~ empty(A)
% 0.21/0.72 & epsilon_transitive(A)
% 0.21/0.72 & epsilon_connected(A)
% 0.21/0.72 & ordinal(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc3_relat_1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( relation(A)
% 0.21/0.72 & relation_empty_yielding(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc4_funct_1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( relation(A)
% 0.21/0.72 & relation_empty_yielding(A)
% 0.21/0.72 & function(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc4_ordinal1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( relation(A)
% 0.21/0.72 & function(A)
% 0.21/0.72 & transfinite_sequence(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(rc5_funct_1,axiom,
% 0.21/0.72 ? [A] :
% 0.21/0.72 ( relation(A)
% 0.21/0.72 & relation_non_empty(A)
% 0.21/0.72 & function(A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(redefinition_r1_ordinal1,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ( ( ordinal(A)
% 0.21/0.72 & ordinal(B) )
% 0.21/0.72 => ( ordinal_subset(A,B)
% 0.21/0.72 <=> subset(A,B) ) ) ).
% 0.21/0.72
% 0.21/0.72 fof(reflexivity_r1_ordinal1,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ( ( ordinal(A)
% 0.21/0.72 & ordinal(B) )
% 0.21/0.72 => ordinal_subset(A,A) ) ).
% 0.21/0.72
% 0.21/0.72 fof(reflexivity_r1_tarski,axiom,
% 0.21/0.72 ! [A,B] : subset(A,A) ).
% 0.21/0.72
% 0.21/0.72 fof(t1_subset,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ( in(A,B)
% 0.21/0.72 => element(A,B) ) ).
% 0.21/0.72
% 0.21/0.72 fof(t2_subset,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ( element(A,B)
% 0.21/0.72 => ( empty(B)
% 0.21/0.72 | in(A,B) ) ) ).
% 0.21/0.72
% 0.21/0.72 fof(t3_subset,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ( element(A,powerset(B))
% 0.21/0.72 <=> subset(A,B) ) ).
% 0.21/0.72
% 0.21/0.72 fof(t4_subset,axiom,
% 0.21/0.72 ! [A,B,C] :
% 0.21/0.72 ( ( in(A,B)
% 0.21/0.72 & element(B,powerset(C)) )
% 0.21/0.72 => element(A,C) ) ).
% 0.21/0.72
% 0.21/0.72 fof(t50_ordinal1,conjecture,
% 0.21/0.72 ! [A] :
% 0.21/0.72 ( ordinal(A)
% 0.21/0.72 => ! [B] :
% 0.21/0.72 ( ordinal(B)
% 0.21/0.72 => ~ ( ~ proper_subset(A,B)
% 0.21/0.72 & A != B
% 0.21/0.72 & ~ proper_subset(B,A) ) ) ) ).
% 0.21/0.72
% 0.21/0.72 fof(t5_subset,axiom,
% 0.21/0.72 ! [A,B,C] :
% 0.21/0.72 ~ ( in(A,B)
% 0.21/0.72 & element(B,powerset(C))
% 0.21/0.72 & empty(C) ) ).
% 0.21/0.72
% 0.21/0.72 fof(t6_boole,axiom,
% 0.21/0.72 ! [A] :
% 0.21/0.72 ( empty(A)
% 0.21/0.72 => A = empty_set ) ).
% 0.21/0.72
% 0.21/0.72 fof(t7_boole,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ~ ( in(A,B)
% 0.21/0.72 & empty(B) ) ).
% 0.21/0.72
% 0.21/0.72 fof(t8_boole,axiom,
% 0.21/0.72 ! [A,B] :
% 0.21/0.72 ~ ( empty(A)
% 0.21/0.72 & A != B
% 0.21/0.72 & empty(B) ) ).
% 0.21/0.72
% 0.21/0.72 %------------------------------------------------------------------------------
% 0.21/0.72 %-------------------------------------------
% 0.21/0.72 % Proof found
% 0.21/0.72 % SZS status Theorem for theBenchmark
% 0.21/0.72 % SZS output start Proof
% 0.21/0.73 %ClaNum:113(EqnAxiom:25)
% 0.21/0.73 %VarNum:108(SingletonVarNum:49)
% 0.21/0.73 %MaxLitNum:4
% 0.21/0.73 %MaxfuncDepth:1
% 0.21/0.73 %SharedTerms:69
% 0.21/0.73 %goalClause: 46 47 80 84 85
% 0.21/0.73 %singleGoalClaCount:5
% 0.21/0.73 [29]P1(a1)
% 0.21/0.73 [30]P1(a2)
% 0.21/0.73 [31]P1(a14)
% 0.21/0.73 [32]P1(a15)
% 0.21/0.73 [33]P1(a16)
% 0.21/0.73 [34]P3(a1)
% 0.21/0.73 [35]P3(a3)
% 0.21/0.73 [36]P3(a15)
% 0.21/0.73 [37]P3(a16)
% 0.21/0.73 [38]P3(a4)
% 0.21/0.73 [39]P3(a5)
% 0.21/0.73 [40]P3(a8)
% 0.21/0.73 [41]P3(a9)
% 0.21/0.73 [42]P6(a1)
% 0.21/0.73 [43]P6(a13)
% 0.21/0.73 [44]P6(a16)
% 0.21/0.73 [45]P6(a6)
% 0.21/0.73 [46]P6(a10)
% 0.21/0.73 [47]P6(a11)
% 0.21/0.73 [48]P4(a1)
% 0.21/0.73 [49]P4(a13)
% 0.21/0.73 [50]P4(a16)
% 0.21/0.73 [51]P4(a6)
% 0.21/0.73 [52]P5(a1)
% 0.21/0.73 [53]P5(a13)
% 0.21/0.73 [54]P5(a16)
% 0.21/0.73 [55]P5(a6)
% 0.21/0.73 [58]P9(a1)
% 0.21/0.73 [59]P9(a3)
% 0.21/0.73 [60]P9(a2)
% 0.21/0.73 [61]P9(a15)
% 0.21/0.73 [62]P9(a16)
% 0.21/0.73 [63]P9(a17)
% 0.21/0.73 [64]P9(a4)
% 0.21/0.73 [65]P9(a7)
% 0.21/0.73 [66]P9(a5)
% 0.21/0.73 [67]P9(a8)
% 0.21/0.73 [68]P9(a9)
% 0.21/0.73 [69]P7(a1)
% 0.21/0.73 [70]P7(a16)
% 0.21/0.73 [71]P7(a4)
% 0.21/0.73 [73]P12(a1)
% 0.21/0.73 [74]P12(a7)
% 0.21/0.73 [75]P12(a5)
% 0.21/0.73 [76]P13(a8)
% 0.21/0.73 [77]P14(a9)
% 0.21/0.73 [80]~E(a11,a10)
% 0.21/0.73 [81]~P1(a17)
% 0.21/0.73 [82]~P1(a18)
% 0.21/0.73 [83]~P1(a6)
% 0.21/0.73 [84]~P10(a10,a11)
% 0.21/0.73 [85]~P10(a11,a10)
% 0.21/0.73 [78]P15(x781,x781)
% 0.21/0.73 [86]~P10(x861,x861)
% 0.21/0.73 [79]P2(f12(x791),x791)
% 0.21/0.73 [87]~P1(x871)+E(x871,a1)
% 0.21/0.73 [88]~P1(x881)+P3(x881)
% 0.21/0.73 [89]~P1(x891)+P6(x891)
% 0.21/0.73 [90]~P1(x901)+P4(x901)
% 0.21/0.73 [91]~P6(x911)+P4(x911)
% 0.21/0.73 [92]~P1(x921)+P5(x921)
% 0.21/0.73 [93]~P6(x931)+P5(x931)
% 0.21/0.73 [94]~P1(x941)+P9(x941)
% 0.21/0.73 [98]~P10(x981,x982)+~E(x981,x982)
% 0.21/0.73 [100]~P1(x1001)+~P8(x1002,x1001)
% 0.21/0.73 [101]~P10(x1011,x1012)+P15(x1011,x1012)
% 0.21/0.73 [102]~P8(x1021,x1022)+P2(x1021,x1022)
% 0.21/0.73 [107]~P8(x1072,x1071)+~P8(x1071,x1072)
% 0.21/0.73 [108]~P10(x1082,x1081)+~P10(x1081,x1082)
% 0.21/0.73 [105]~P15(x1051,x1052)+P2(x1051,f19(x1052))
% 0.21/0.73 [109]P15(x1091,x1092)+~P2(x1091,f19(x1092))
% 0.21/0.73 [96]~P4(x961)+~P5(x961)+P6(x961)
% 0.21/0.73 [95]~P1(x952)+~P1(x951)+E(x951,x952)
% 0.21/0.73 [99]~P6(x991)+P11(x991,x991)+~P6(x992)
% 0.21/0.73 [103]P10(x1031,x1032)+~P15(x1031,x1032)+E(x1031,x1032)
% 0.21/0.73 [104]~P2(x1042,x1041)+P1(x1041)+P8(x1042,x1041)
% 0.21/0.73 [112]~P1(x1121)+~P8(x1122,x1123)+~P2(x1123,f19(x1121))
% 0.21/0.73 [113]P2(x1131,x1132)+~P8(x1131,x1133)+~P2(x1133,f19(x1132))
% 0.21/0.73 [97]~P1(x971)+~P3(x971)+~P9(x971)+P7(x971)
% 0.21/0.73 [106]P11(x1062,x1061)+~P6(x1061)+~P6(x1062)+P11(x1061,x1062)
% 0.21/0.73 [110]~P6(x1102)+~P6(x1101)+~P15(x1101,x1102)+P11(x1101,x1102)
% 0.21/0.73 [111]~P6(x1112)+~P6(x1111)+~P11(x1111,x1112)+P15(x1111,x1112)
% 0.21/0.73 %EqnAxiom
% 0.21/0.73 [1]E(x11,x11)
% 0.21/0.73 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.73 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.21/0.73 [5]~E(x51,x52)+E(f19(x51),f19(x52))
% 0.21/0.73 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 0.21/0.73 [7]P2(x72,x73)+~E(x71,x72)+~P2(x71,x73)
% 0.21/0.73 [8]P2(x83,x82)+~E(x81,x82)+~P2(x83,x81)
% 0.21/0.73 [9]P8(x92,x93)+~E(x91,x92)+~P8(x91,x93)
% 0.21/0.73 [10]P8(x103,x102)+~E(x101,x102)+~P8(x103,x101)
% 0.21/0.73 [11]P11(x112,x113)+~E(x111,x112)+~P11(x111,x113)
% 0.21/0.73 [12]P11(x123,x122)+~E(x121,x122)+~P11(x123,x121)
% 0.21/0.73 [13]P15(x132,x133)+~E(x131,x132)+~P15(x131,x133)
% 0.21/0.73 [14]P15(x143,x142)+~E(x141,x142)+~P15(x143,x141)
% 0.21/0.73 [15]~P6(x151)+P6(x152)+~E(x151,x152)
% 0.21/0.73 [16]~P5(x161)+P5(x162)+~E(x161,x162)
% 0.21/0.73 [17]~P4(x171)+P4(x172)+~E(x171,x172)
% 0.21/0.73 [18]~P3(x181)+P3(x182)+~E(x181,x182)
% 0.21/0.73 [19]~P13(x191)+P13(x192)+~E(x191,x192)
% 0.21/0.73 [20]~P12(x201)+P12(x202)+~E(x201,x202)
% 0.21/0.73 [21]~P9(x211)+P9(x212)+~E(x211,x212)
% 0.21/0.73 [22]P10(x222,x223)+~E(x221,x222)+~P10(x221,x223)
% 0.21/0.73 [23]P10(x233,x232)+~E(x231,x232)+~P10(x233,x231)
% 0.21/0.73 [24]~P14(x241)+P14(x242)+~E(x241,x242)
% 0.21/0.73 [25]~P7(x251)+P7(x252)+~E(x251,x252)
% 0.21/0.73
% 0.21/0.73 %-------------------------------------------
% 0.21/0.73 cnf(115,plain,
% 0.21/0.73 (P15(f12(f19(x1151)),x1151)),
% 0.21/0.73 inference(scs_inference,[],[29,79,100,109])).
% 0.21/0.73 cnf(116,plain,
% 0.21/0.73 (P2(f12(x1161),x1161)),
% 0.21/0.73 inference(rename_variables,[],[79])).
% 0.21/0.73 cnf(118,plain,
% 0.21/0.73 (P8(f12(a17),a17)),
% 0.21/0.73 inference(scs_inference,[],[29,81,79,116,100,109,104])).
% 0.21/0.73 cnf(119,plain,
% 0.21/0.73 (P2(f12(x1191),x1191)),
% 0.21/0.73 inference(rename_variables,[],[79])).
% 0.21/0.73 cnf(121,plain,
% 0.21/0.73 (~P8(x1211,f12(f19(a1)))),
% 0.21/0.73 inference(scs_inference,[],[29,81,79,116,119,100,109,104,112])).
% 0.21/0.73 cnf(130,plain,
% 0.21/0.73 (~E(a10,a11)),
% 0.21/0.73 inference(scs_inference,[],[46,78,47,80,29,32,36,61,81,79,116,119,100,109,104,112,110,106,97,2])).
% 0.21/0.73 cnf(145,plain,
% 0.21/0.73 (P3(a2)),
% 0.21/0.73 inference(scs_inference,[],[46,78,47,80,29,30,31,32,36,61,81,79,116,119,100,109,104,112,110,106,97,2,107,94,93,92,91,90,89,88])).
% 0.21/0.73 cnf(147,plain,
% 0.21/0.73 (E(a2,a1)),
% 0.21/0.73 inference(scs_inference,[],[46,78,47,80,29,30,31,32,36,61,81,79,116,119,100,109,104,112,110,106,97,2,107,94,93,92,91,90,89,88,87])).
% 0.21/0.73 cnf(151,plain,
% 0.21/0.73 (E(f19(a2),f19(a1))),
% 0.21/0.73 inference(scs_inference,[],[46,78,47,80,29,30,31,32,36,61,81,79,116,119,100,109,104,112,110,106,97,2,107,94,93,92,91,90,89,88,87,105,5])).
% 0.21/0.73 cnf(152,plain,
% 0.21/0.73 (E(f12(a2),f12(a1))),
% 0.21/0.73 inference(scs_inference,[],[46,78,47,80,29,30,31,32,36,61,81,79,116,119,100,109,104,112,110,106,97,2,107,94,93,92,91,90,89,88,87,105,5,4])).
% 0.21/0.73 cnf(158,plain,
% 0.21/0.73 (~P15(a11,a10)),
% 0.21/0.73 inference(scs_inference,[],[46,78,86,47,80,85,29,30,31,32,36,61,69,81,79,116,119,100,109,104,112,110,106,97,2,107,94,93,92,91,90,89,88,87,105,5,4,25,23,22,10,6,103])).
% 0.21/0.73 cnf(160,plain,
% 0.21/0.73 (P11(a1,a1)),
% 0.21/0.73 inference(scs_inference,[],[46,78,86,47,80,85,29,30,31,32,36,42,61,69,81,79,116,119,100,109,104,112,110,106,97,2,107,94,93,92,91,90,89,88,87,105,5,4,25,23,22,10,6,103,99])).
% 0.21/0.73 cnf(162,plain,
% 0.21/0.73 (~P11(a11,a10)),
% 0.21/0.73 inference(scs_inference,[],[46,78,86,47,80,85,29,30,31,32,36,42,61,69,81,79,116,119,100,109,104,112,110,106,97,2,107,94,93,92,91,90,89,88,87,105,5,4,25,23,22,10,6,103,99,111])).
% 0.21/0.73 cnf(167,plain,
% 0.21/0.73 (~P15(a2,x1671)+P15(a1,x1671)),
% 0.21/0.73 inference(scs_inference,[],[46,78,86,47,80,85,29,30,31,32,36,42,61,69,81,79,116,119,100,109,104,112,110,106,97,2,107,94,93,92,91,90,89,88,87,105,5,4,25,23,22,10,6,103,99,111,98,14,13])).
% 0.21/0.73 cnf(178,plain,
% 0.21/0.73 (P11(x1781,x1781)+~P6(x1781)),
% 0.21/0.73 inference(scs_inference,[],[46,99])).
% 0.21/0.73 cnf(181,plain,
% 0.21/0.73 (~P15(a10,a11)),
% 0.21/0.73 inference(scs_inference,[],[84,43,130,178,103])).
% 0.21/0.73 cnf(189,plain,
% 0.21/0.73 (~P10(x1891,x1891)),
% 0.21/0.73 inference(rename_variables,[],[86])).
% 0.21/0.73 cnf(190,plain,
% 0.21/0.73 (~E(f12(f19(a10)),a11)),
% 0.21/0.73 inference(scs_inference,[],[84,33,43,86,115,147,151,118,130,158,178,103,112,2,109,23,13])).
% 0.21/0.73 cnf(195,plain,
% 0.21/0.73 (P2(f12(x1951),x1951)),
% 0.21/0.73 inference(rename_variables,[],[79])).
% 0.21/0.73 cnf(199,plain,
% 0.21/0.73 (P11(a10,a11)),
% 0.21/0.73 inference(scs_inference,[],[46,84,33,43,82,79,195,86,47,115,121,147,151,160,118,130,158,162,178,103,112,2,109,23,13,12,11,7,6,104,106])).
% 0.21/0.73 cnf(210,plain,
% 0.21/0.73 (~P15(a17,a16)),
% 0.21/0.73 inference(scs_inference,[],[46,84,33,43,73,77,82,60,79,195,78,86,189,47,30,115,121,147,151,152,160,118,130,145,158,162,178,103,112,2,109,23,13,12,11,7,6,104,106,97,22,167,24,20,102,105])).
% 0.21/0.73 cnf(226,plain,
% 0.21/0.73 (P15(x2261,x2261)),
% 0.21/0.73 inference(rename_variables,[],[78])).
% 0.21/0.73 cnf(231,plain,
% 0.21/0.73 ($false),
% 0.21/0.73 inference(scs_inference,[],[47,44,78,226,199,190,181,210,46,101,105,110,14,2,111]),
% 0.21/0.73 ['proof']).
% 0.21/0.73 % SZS output end Proof
% 0.21/0.73 % Total time :0.060000s
%------------------------------------------------------------------------------