TSTP Solution File: SEU361+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU361+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 : n028.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 0.15s 0.68s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.16 % Problem : SEU361+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.17 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.37 % Computer : n028.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8042.1875MB
% 0.10/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Aug 23 19:24:19 EDT 2023
% 0.10/0.37 % CPUTime :
% 0.15/0.60 start to proof:theBenchmark
% 0.15/0.67 %-------------------------------------------
% 0.15/0.67 % File :CSE---1.6
% 0.15/0.67 % Problem :theBenchmark
% 0.15/0.67 % Transform :cnf
% 0.15/0.67 % Format :tptp:raw
% 0.15/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.15/0.67
% 0.15/0.67 % Result :Theorem 0.010000s
% 0.15/0.67 % Output :CNFRefutation 0.010000s
% 0.15/0.67 %-------------------------------------------
% 0.15/0.68 %------------------------------------------------------------------------------
% 0.15/0.68 % File : SEU361+1 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.68 % Domain : Set theory
% 0.15/0.68 % Problem : MPTP bushy problem t44_yellow_0
% 0.15/0.68 % Version : [Urb07] axioms : Especial.
% 0.15/0.68 % English :
% 0.15/0.68
% 0.15/0.68 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.15/0.68 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.15/0.68 % Source : [Urb07]
% 0.15/0.68 % Names : bushy-t44_yellow_0 [Urb07]
% 0.15/0.68
% 0.15/0.68 % Status : Theorem
% 0.15/0.68 % Rating : 0.11 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.04 v5.5.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0
% 0.15/0.68 % Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% 0.15/0.68 % Number of atoms : 72 ( 5 equ)
% 0.15/0.68 % Maximal formula atoms : 15 ( 2 avg)
% 0.15/0.68 % Number of connectives : 55 ( 11 ~; 1 |; 20 &)
% 0.15/0.68 % ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% 0.15/0.68 % Maximal formula depth : 12 ( 4 avg)
% 0.15/0.68 % Maximal term depth : 2 ( 1 avg)
% 0.15/0.68 % Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% 0.15/0.68 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.15/0.68 % Number of variables : 36 ( 29 !; 7 ?)
% 0.15/0.68 % SPC : FOF_THM_RFO_SEQ
% 0.15/0.68
% 0.15/0.68 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.15/0.68 % library, www.mizar.org
% 0.15/0.68 %------------------------------------------------------------------------------
% 0.15/0.68 fof(antisymmetry_r2_hidden,axiom,
% 0.15/0.68 ! [A,B] :
% 0.15/0.68 ( in(A,B)
% 0.15/0.68 => ~ in(B,A) ) ).
% 0.15/0.68
% 0.15/0.68 fof(cc1_finset_1,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( empty(A)
% 0.15/0.68 => finite(A) ) ).
% 0.15/0.68
% 0.15/0.68 fof(d11_yellow_0,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( rel_str(A)
% 0.15/0.68 => bottom_of_relstr(A) = join_on_relstr(A,empty_set) ) ).
% 0.15/0.68
% 0.15/0.68 fof(dt_k1_xboole_0,axiom,
% 0.15/0.68 $true ).
% 0.15/0.68
% 0.15/0.68 fof(dt_k1_yellow_0,axiom,
% 0.15/0.68 ! [A,B] :
% 0.15/0.68 ( rel_str(A)
% 0.15/0.68 => element(join_on_relstr(A,B),the_carrier(A)) ) ).
% 0.15/0.68
% 0.15/0.68 fof(dt_k3_yellow_0,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( rel_str(A)
% 0.15/0.68 => element(bottom_of_relstr(A),the_carrier(A)) ) ).
% 0.15/0.68
% 0.15/0.68 fof(dt_l1_orders_2,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( rel_str(A)
% 0.15/0.68 => one_sorted_str(A) ) ).
% 0.15/0.68
% 0.15/0.68 fof(dt_l1_struct_0,axiom,
% 0.15/0.68 $true ).
% 0.15/0.68
% 0.15/0.68 fof(dt_m1_subset_1,axiom,
% 0.15/0.68 $true ).
% 0.15/0.68
% 0.15/0.68 fof(dt_u1_struct_0,axiom,
% 0.15/0.68 $true ).
% 0.15/0.68
% 0.15/0.68 fof(existence_l1_orders_2,axiom,
% 0.15/0.68 ? [A] : rel_str(A) ).
% 0.15/0.68
% 0.15/0.68 fof(existence_l1_struct_0,axiom,
% 0.15/0.68 ? [A] : one_sorted_str(A) ).
% 0.15/0.68
% 0.15/0.68 fof(existence_m1_subset_1,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ? [B] : element(B,A) ).
% 0.15/0.68
% 0.15/0.68 fof(fc1_struct_0,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( ( ~ empty_carrier(A)
% 0.15/0.68 & one_sorted_str(A) )
% 0.15/0.68 => ~ empty(the_carrier(A)) ) ).
% 0.15/0.68
% 0.15/0.68 fof(fc1_xboole_0,axiom,
% 0.15/0.68 empty(empty_set) ).
% 0.15/0.68
% 0.15/0.68 fof(rc1_finset_1,axiom,
% 0.15/0.68 ? [A] :
% 0.15/0.68 ( ~ empty(A)
% 0.15/0.68 & finite(A) ) ).
% 0.15/0.68
% 0.15/0.68 fof(rc1_xboole_0,axiom,
% 0.15/0.68 ? [A] : empty(A) ).
% 0.15/0.68
% 0.15/0.68 fof(rc2_xboole_0,axiom,
% 0.15/0.68 ? [A] : ~ empty(A) ).
% 0.15/0.68
% 0.15/0.68 fof(rc3_struct_0,axiom,
% 0.15/0.68 ? [A] :
% 0.15/0.68 ( one_sorted_str(A)
% 0.15/0.68 & ~ empty_carrier(A) ) ).
% 0.15/0.68
% 0.15/0.68 fof(t1_subset,axiom,
% 0.15/0.68 ! [A,B] :
% 0.15/0.68 ( in(A,B)
% 0.15/0.68 => element(A,B) ) ).
% 0.15/0.68
% 0.15/0.68 fof(t2_subset,axiom,
% 0.15/0.68 ! [A,B] :
% 0.15/0.68 ( element(A,B)
% 0.15/0.68 => ( empty(B)
% 0.15/0.68 | in(A,B) ) ) ).
% 0.15/0.68
% 0.15/0.68 fof(t30_yellow_0,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( ( antisymmetric_relstr(A)
% 0.15/0.68 & rel_str(A) )
% 0.15/0.68 => ! [B] :
% 0.15/0.68 ( element(B,the_carrier(A))
% 0.15/0.68 => ! [C] :
% 0.15/0.68 ( ( ( B = join_on_relstr(A,C)
% 0.15/0.68 & ex_sup_of_relstr_set(A,C) )
% 0.15/0.68 => ( relstr_set_smaller(A,C,B)
% 0.15/0.68 & ! [D] :
% 0.15/0.68 ( element(D,the_carrier(A))
% 0.15/0.68 => ( relstr_set_smaller(A,C,D)
% 0.15/0.68 => related(A,B,D) ) ) ) )
% 0.15/0.68 & ( ( relstr_set_smaller(A,C,B)
% 0.15/0.68 & ! [D] :
% 0.15/0.68 ( element(D,the_carrier(A))
% 0.15/0.68 => ( relstr_set_smaller(A,C,D)
% 0.15/0.68 => related(A,B,D) ) ) )
% 0.15/0.68 => ( B = join_on_relstr(A,C)
% 0.15/0.68 & ex_sup_of_relstr_set(A,C) ) ) ) ) ) ).
% 0.15/0.68
% 0.15/0.68 fof(t42_yellow_0,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( ( ~ empty_carrier(A)
% 0.15/0.68 & antisymmetric_relstr(A)
% 0.15/0.68 & lower_bounded_relstr(A)
% 0.15/0.68 & rel_str(A) )
% 0.15/0.68 => ( ex_sup_of_relstr_set(A,empty_set)
% 0.15/0.68 & ex_inf_of_relstr_set(A,the_carrier(A)) ) ) ).
% 0.15/0.68
% 0.15/0.68 fof(t44_yellow_0,conjecture,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( ( ~ empty_carrier(A)
% 0.15/0.68 & antisymmetric_relstr(A)
% 0.15/0.68 & lower_bounded_relstr(A)
% 0.15/0.68 & rel_str(A) )
% 0.15/0.68 => ! [B] :
% 0.15/0.68 ( element(B,the_carrier(A))
% 0.15/0.68 => related(A,bottom_of_relstr(A),B) ) ) ).
% 0.15/0.68
% 0.15/0.68 fof(t6_boole,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( empty(A)
% 0.15/0.68 => A = empty_set ) ).
% 0.15/0.68
% 0.15/0.68 fof(t6_yellow_0,axiom,
% 0.15/0.68 ! [A] :
% 0.15/0.68 ( rel_str(A)
% 0.15/0.68 => ! [B] :
% 0.15/0.68 ( element(B,the_carrier(A))
% 0.15/0.68 => ( relstr_set_smaller(A,empty_set,B)
% 0.15/0.68 & relstr_element_smaller(A,empty_set,B) ) ) ) ).
% 0.15/0.68
% 0.15/0.68 fof(t7_boole,axiom,
% 0.15/0.68 ! [A,B] :
% 0.15/0.68 ~ ( in(A,B)
% 0.15/0.68 & empty(B) ) ).
% 0.15/0.68
% 0.15/0.68 fof(t8_boole,axiom,
% 0.15/0.68 ! [A,B] :
% 0.15/0.68 ~ ( empty(A)
% 0.15/0.68 & A != B
% 0.15/0.68 & empty(B) ) ).
% 0.15/0.68
% 0.15/0.68 %------------------------------------------------------------------------------
% 0.15/0.68 %-------------------------------------------
% 0.15/0.68 % Proof found
% 0.15/0.68 % SZS status Theorem for theBenchmark
% 0.15/0.68 % SZS output start Proof
% 0.15/0.70 %ClaNum:75(EqnAxiom:35)
% 0.15/0.70 %VarNum:176(SingletonVarNum:50)
% 0.15/0.70 %MaxLitNum:8
% 0.15/0.70 %MaxfuncDepth:1
% 0.15/0.70 %SharedTerms:26
% 0.15/0.70 %goalClause: 40 43 44 45 50 51
% 0.15/0.70 %singleGoalClaCount:6
% 0.15/0.70 [36]P1(a1)
% 0.15/0.70 [37]P1(a3)
% 0.15/0.70 [38]P4(a4)
% 0.15/0.70 [39]P8(a5)
% 0.15/0.70 [40]P8(a9)
% 0.15/0.70 [41]P9(a7)
% 0.15/0.70 [42]P9(a10)
% 0.15/0.70 [43]P2(a9)
% 0.15/0.70 [44]P10(a9)
% 0.15/0.70 [47]~P1(a4)
% 0.15/0.70 [48]~P1(a11)
% 0.15/0.70 [49]~P5(a10)
% 0.15/0.70 [50]~P5(a9)
% 0.15/0.70 [45]P3(a6,f13(a9))
% 0.15/0.70 [51]~P12(a9,f2(a9),a6)
% 0.15/0.70 [46]P3(f8(x461),x461)
% 0.15/0.70 [52]~P1(x521)+E(x521,a1)
% 0.15/0.70 [53]~P1(x531)+P4(x531)
% 0.15/0.70 [54]~P8(x541)+P9(x541)
% 0.15/0.70 [56]~P8(x561)+E(f14(x561,a1),f2(x561))
% 0.15/0.70 [59]~P8(x591)+P3(f2(x591),f13(x591))
% 0.15/0.70 [58]~P1(x581)+~P11(x582,x581)
% 0.15/0.70 [60]~P11(x601,x602)+P3(x601,x602)
% 0.15/0.70 [63]~P11(x632,x631)+~P11(x631,x632)
% 0.15/0.70 [65]~P8(x651)+P3(f14(x651,x652),f13(x651))
% 0.15/0.70 [57]~P9(x571)+P5(x571)+~P1(f13(x571))
% 0.15/0.70 [55]~P1(x552)+~P1(x551)+E(x551,x552)
% 0.15/0.70 [62]~P3(x622,x621)+P1(x621)+P11(x622,x621)
% 0.15/0.70 [66]~P8(x661)+P13(x661,a1,x662)+~P3(x662,f13(x661))
% 0.15/0.70 [67]~P8(x671)+P14(x671,a1,x672)+~P3(x672,f13(x671))
% 0.15/0.70 [61]~P8(x611)+~P2(x611)+~P10(x611)+P5(x611)+P6(x611,a1)
% 0.15/0.70 [64]~P8(x641)+~P2(x641)+~P10(x641)+P5(x641)+P7(x641,f13(x641))
% 0.15/0.70 [68]~P8(x681)+~P2(x681)+~P6(x681,x682)+P13(x681,x682,x683)+~E(x683,f14(x681,x682))+~P3(x683,f13(x681))
% 0.15/0.70 [70]~P8(x701)+~P2(x701)+~P13(x701,x702,x703)+P6(x701,x702)+~P3(x703,f13(x701))+P3(f12(x701,x703,x702),f13(x701))
% 0.15/0.70 [71]~P8(x712)+~P2(x712)+~P13(x712,x713,x711)+P3(f12(x712,x711,x713),f13(x712))+~P3(x711,f13(x712))+E(x711,f14(x712,x713))
% 0.15/0.70 [72]~P8(x721)+~P2(x721)+~P13(x721,x722,x723)+P6(x721,x722)+P13(x721,x722,f12(x721,x723,x722))+~P3(x723,f13(x721))
% 0.15/0.70 [73]~P8(x732)+~P2(x732)+~P13(x732,x733,x731)+P13(x732,x733,f12(x732,x731,x733))+~P3(x731,f13(x732))+E(x731,f14(x732,x733))
% 0.15/0.70 [74]~P8(x741)+~P2(x741)+P6(x741,x742)+~P13(x741,x742,x743)+~P12(x741,x743,f12(x741,x743,x742))+~P3(x743,f13(x741))
% 0.15/0.70 [75]~P8(x752)+~P2(x752)+~P13(x752,x753,x751)+~P12(x752,x751,f12(x752,x751,x753))+~P3(x751,f13(x752))+E(x751,f14(x752,x753))
% 0.15/0.70 [69]~P8(x691)+~P2(x691)+~P6(x691,x694)+~P13(x691,x694,x693)+P12(x691,x692,x693)+~P3(x692,f13(x691))+~P3(x693,f13(x691))+~E(x692,f14(x691,x694))
% 0.15/0.70 %EqnAxiom
% 0.15/0.70 [1]E(x11,x11)
% 0.15/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.15/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.15/0.70 [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 0.15/0.70 [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 0.15/0.70 [6]~E(x61,x62)+E(f2(x61),f2(x62))
% 0.15/0.70 [7]~E(x71,x72)+E(f14(x71,x73),f14(x72,x73))
% 0.15/0.70 [8]~E(x81,x82)+E(f14(x83,x81),f14(x83,x82))
% 0.15/0.70 [9]~E(x91,x92)+E(f12(x91,x93,x94),f12(x92,x93,x94))
% 0.15/0.70 [10]~E(x101,x102)+E(f12(x103,x101,x104),f12(x103,x102,x104))
% 0.15/0.70 [11]~E(x111,x112)+E(f12(x113,x114,x111),f12(x113,x114,x112))
% 0.15/0.70 [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 0.15/0.70 [13]P12(x132,x133,x134)+~E(x131,x132)+~P12(x131,x133,x134)
% 0.15/0.70 [14]P12(x143,x142,x144)+~E(x141,x142)+~P12(x143,x141,x144)
% 0.15/0.70 [15]P12(x153,x154,x152)+~E(x151,x152)+~P12(x153,x154,x151)
% 0.15/0.70 [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 0.15/0.70 [17]~P8(x171)+P8(x172)+~E(x171,x172)
% 0.15/0.70 [18]P13(x182,x183,x184)+~E(x181,x182)+~P13(x181,x183,x184)
% 0.15/0.70 [19]P13(x193,x192,x194)+~E(x191,x192)+~P13(x193,x191,x194)
% 0.15/0.70 [20]P13(x203,x204,x202)+~E(x201,x202)+~P13(x203,x204,x201)
% 0.15/0.70 [21]~P9(x211)+P9(x212)+~E(x211,x212)
% 0.15/0.70 [22]P6(x222,x223)+~E(x221,x222)+~P6(x221,x223)
% 0.15/0.70 [23]P6(x233,x232)+~E(x231,x232)+~P6(x233,x231)
% 0.15/0.70 [24]~P2(x241)+P2(x242)+~E(x241,x242)
% 0.15/0.70 [25]~P10(x251)+P10(x252)+~E(x251,x252)
% 0.15/0.70 [26]P3(x262,x263)+~E(x261,x262)+~P3(x261,x263)
% 0.15/0.70 [27]P3(x273,x272)+~E(x271,x272)+~P3(x273,x271)
% 0.15/0.70 [28]P11(x282,x283)+~E(x281,x282)+~P11(x281,x283)
% 0.15/0.70 [29]P11(x293,x292)+~E(x291,x292)+~P11(x293,x291)
% 0.15/0.70 [30]P7(x302,x303)+~E(x301,x302)+~P7(x301,x303)
% 0.15/0.70 [31]P7(x313,x312)+~E(x311,x312)+~P7(x313,x311)
% 0.15/0.70 [32]P14(x322,x323,x324)+~E(x321,x322)+~P14(x321,x323,x324)
% 0.15/0.70 [33]P14(x333,x332,x334)+~E(x331,x332)+~P14(x333,x331,x334)
% 0.15/0.70 [34]P14(x343,x344,x342)+~E(x341,x342)+~P14(x343,x344,x341)
% 0.15/0.70 [35]~P5(x351)+P5(x352)+~E(x351,x352)
% 0.15/0.70
% 0.15/0.70 %-------------------------------------------
% 0.15/0.72 cnf(80,plain,
% 0.15/0.72 (P14(a9,a1,a6)),
% 0.15/0.72 inference(scs_inference,[],[40,36,47,45,46,58,62,67])).
% 0.15/0.72 cnf(88,plain,
% 0.15/0.72 (P4(a1)),
% 0.15/0.72 inference(scs_inference,[],[40,36,47,45,46,58,62,67,66,63,54,53])).
% 0.15/0.72 cnf(92,plain,
% 0.15/0.72 (E(f12(x921,x922,a3),f12(x921,x922,a1))),
% 0.15/0.72 inference(scs_inference,[],[40,36,37,47,45,46,58,62,67,66,63,54,53,52,11])).
% 0.15/0.72 cnf(93,plain,
% 0.15/0.72 (E(f12(x931,a3,x932),f12(x931,a1,x932))),
% 0.15/0.72 inference(scs_inference,[],[40,36,37,47,45,46,58,62,67,66,63,54,53,52,11,10])).
% 0.15/0.72 cnf(95,plain,
% 0.15/0.72 (E(f14(x951,a3),f14(x951,a1))),
% 0.15/0.72 inference(scs_inference,[],[40,36,37,47,45,46,58,62,67,66,63,54,53,52,11,10,9,8])).
% 0.15/0.72 cnf(98,plain,
% 0.15/0.72 (E(f8(a3),f8(a1))),
% 0.15/0.72 inference(scs_inference,[],[40,36,37,47,45,46,58,62,67,66,63,54,53,52,11,10,9,8,7,6,5])).
% 0.15/0.72 cnf(100,plain,
% 0.15/0.72 (P3(f14(a9,x1001),f13(a9))),
% 0.15/0.72 inference(scs_inference,[],[40,36,37,47,45,46,58,62,67,66,63,54,53,52,11,10,9,8,7,6,5,4,65])).
% 0.15/0.72 cnf(108,plain,
% 0.15/0.72 (~P12(a9,f14(a9,a1),a6)),
% 0.15/0.72 inference(scs_inference,[],[40,36,37,47,51,45,46,58,62,67,66,63,54,53,52,11,10,9,8,7,6,5,4,65,59,56,29,28,14])).
% 0.15/0.72 cnf(109,plain,
% 0.15/0.72 (~E(a1,a4)),
% 0.15/0.72 inference(scs_inference,[],[40,36,37,47,51,45,46,58,62,67,66,63,54,53,52,11,10,9,8,7,6,5,4,65,59,56,29,28,14,12])).
% 0.15/0.72 cnf(112,plain,
% 0.15/0.72 (P6(a9,a1)),
% 0.15/0.72 inference(scs_inference,[],[40,43,44,50,36,37,47,51,45,46,58,62,67,66,63,54,53,52,11,10,9,8,7,6,5,4,65,59,56,29,28,14,12,57,61])).
% 0.15/0.72 cnf(116,plain,
% 0.15/0.72 (P13(a9,a1,f14(a9,a3))),
% 0.15/0.72 inference(scs_inference,[],[40,43,44,50,36,37,47,51,45,46,58,62,67,66,63,54,53,52,11,10,9,8,7,6,5,4,65,59,56,29,28,14,12,57,61,64,68])).
% 0.15/0.72 cnf(118,plain,
% 0.15/0.72 (P12(a9,f14(a9,a3),a6)),
% 0.15/0.72 inference(scs_inference,[],[40,43,44,50,36,37,47,51,45,46,58,62,67,66,63,54,53,52,11,10,9,8,7,6,5,4,65,59,56,29,28,14,12,57,61,64,68,69])).
% 0.15/0.72 cnf(120,plain,
% 0.15/0.72 (E(a1,a3)),
% 0.15/0.72 inference(scs_inference,[],[40,43,44,50,36,37,47,51,45,46,58,62,67,66,63,54,53,52,11,10,9,8,7,6,5,4,65,59,56,29,28,14,12,57,61,64,68,69,2])).
% 0.15/0.72 cnf(147,plain,
% 0.15/0.72 (P3(f8(x1471),x1471)),
% 0.15/0.72 inference(rename_variables,[],[46])).
% 0.15/0.72 cnf(149,plain,
% 0.15/0.72 (E(f14(x1491,a3),f14(x1491,a1))),
% 0.15/0.72 inference(rename_variables,[],[95])).
% 0.15/0.72 cnf(153,plain,
% 0.15/0.72 (E(f12(x1531,x1532,a3),f12(x1531,x1532,a1))),
% 0.15/0.72 inference(rename_variables,[],[92])).
% 0.15/0.72 cnf(156,plain,
% 0.15/0.72 (E(f14(x1561,a3),f14(x1561,a1))),
% 0.15/0.72 inference(rename_variables,[],[95])).
% 0.15/0.72 cnf(164,plain,
% 0.15/0.72 (E(f14(x1641,a3),f14(x1641,a1))),
% 0.15/0.72 inference(rename_variables,[],[95])).
% 0.15/0.72 cnf(165,plain,
% 0.15/0.72 ($false),
% 0.15/0.72 inference(scs_inference,[],[40,42,48,49,37,46,147,43,92,153,93,95,149,156,164,100,98,112,108,118,116,80,88,109,120,16,57,33,26,20,19,12,3,69,2,27,23,15,14]),
% 0.15/0.72 ['proof']).
% 0.15/0.72 % SZS output end Proof
% 0.15/0.72 % Total time :0.010000s
%------------------------------------------------------------------------------