TSTP Solution File: SEU230+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU230+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 16:18:36 EDT 2023
% Result : Theorem 0.23s 0.75s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SEU230+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.16 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.37 % Computer : n015.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 23 15:35:05 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.23/0.61 start to proof:theBenchmark
% 0.23/0.73 %-------------------------------------------
% 0.23/0.73 % File :CSE---1.6
% 0.23/0.73 % Problem :theBenchmark
% 0.23/0.73 % Transform :cnf
% 0.23/0.73 % Format :tptp:raw
% 0.23/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.23/0.73
% 0.23/0.73 % Result :Theorem 0.050000s
% 0.23/0.73 % Output :CNFRefutation 0.050000s
% 0.23/0.73 %-------------------------------------------
% 0.23/0.74 %------------------------------------------------------------------------------
% 0.23/0.74 % File : SEU230+3 : TPTP v8.1.2. Released v3.2.0.
% 0.23/0.74 % Domain : Set Theory
% 0.23/0.74 % Problem : Ordinal numbers, theorem Ordinal numbers, theorem 10
% 0.23/0.74 % Version : [Urb06] axioms : Especial.
% 0.23/0.74 % English :
% 0.23/0.74
% 0.23/0.74 % Refs : [Ban90] Bancerek (1990), The Ordinal Numbers
% 0.23/0.74 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.23/0.74 % Source : [Urb06]
% 0.23/0.74 % Names : ordinal1__t10_ordinal1 [Urb06]
% 0.23/0.74
% 0.23/0.74 % Status : Theorem
% 0.23/0.74 % Rating : 0.14 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.20 v6.1.0, 0.30 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.00 v5.1.0, 0.05 v5.0.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.11 v3.4.0, 0.16 v3.3.0, 0.07 v3.2.0
% 0.23/0.74 % Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% 0.23/0.74 % Number of atoms : 73 ( 9 equ)
% 0.23/0.74 % Maximal formula atoms : 6 ( 2 avg)
% 0.23/0.74 % Number of connectives : 50 ( 11 ~; 2 |; 23 &)
% 0.23/0.74 % ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% 0.23/0.74 % Maximal formula depth : 8 ( 4 avg)
% 0.23/0.74 % Maximal term depth : 3 ( 1 avg)
% 0.23/0.74 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty)
% 0.23/0.74 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.23/0.74 % Number of variables : 47 ( 36 !; 11 ?)
% 0.23/0.74 % SPC : FOF_THM_RFO_SEQ
% 0.23/0.74
% 0.23/0.74 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.23/0.74 % library, www.mizar.org
% 0.23/0.74 %------------------------------------------------------------------------------
% 0.23/0.74 fof(antisymmetry_r2_hidden,axiom,
% 0.23/0.74 ! [A,B] :
% 0.23/0.74 ( in(A,B)
% 0.23/0.74 => ~ in(B,A) ) ).
% 0.23/0.74
% 0.23/0.74 fof(cc1_funct_1,axiom,
% 0.23/0.74 ! [A] :
% 0.23/0.74 ( empty(A)
% 0.23/0.74 => function(A) ) ).
% 0.23/0.74
% 0.23/0.74 fof(cc1_relat_1,axiom,
% 0.23/0.74 ! [A] :
% 0.23/0.74 ( empty(A)
% 0.23/0.74 => relation(A) ) ).
% 0.23/0.74
% 0.23/0.74 fof(cc2_funct_1,axiom,
% 0.23/0.74 ! [A] :
% 0.23/0.74 ( ( relation(A)
% 0.23/0.74 & empty(A)
% 0.23/0.74 & function(A) )
% 0.23/0.74 => ( relation(A)
% 0.23/0.74 & function(A)
% 0.23/0.74 & one_to_one(A) ) ) ).
% 0.23/0.74
% 0.23/0.74 fof(commutativity_k2_xboole_0,axiom,
% 0.23/0.74 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 0.23/0.74
% 0.23/0.74 fof(d1_ordinal1,axiom,
% 0.23/0.74 ! [A] : succ(A) = set_union2(A,singleton(A)) ).
% 0.23/0.74
% 0.23/0.74 fof(d1_tarski,axiom,
% 0.23/0.74 ! [A,B] :
% 0.23/0.74 ( B = singleton(A)
% 0.23/0.74 <=> ! [C] :
% 0.23/0.74 ( in(C,B)
% 0.23/0.74 <=> C = A ) ) ).
% 0.23/0.74
% 0.23/0.74 fof(d2_xboole_0,axiom,
% 0.23/0.74 ! [A,B,C] :
% 0.23/0.74 ( C = set_union2(A,B)
% 0.23/0.74 <=> ! [D] :
% 0.23/0.74 ( in(D,C)
% 0.23/0.74 <=> ( in(D,A)
% 0.23/0.74 | in(D,B) ) ) ) ).
% 0.23/0.74
% 0.23/0.74 fof(existence_m1_subset_1,axiom,
% 0.23/0.74 ! [A] :
% 0.23/0.74 ? [B] : element(B,A) ).
% 0.23/0.74
% 0.23/0.74 fof(fc12_relat_1,axiom,
% 0.23/0.74 ( empty(empty_set)
% 0.23/0.74 & relation(empty_set)
% 0.23/0.74 & relation_empty_yielding(empty_set) ) ).
% 0.23/0.74
% 0.23/0.74 fof(fc1_ordinal1,axiom,
% 0.23/0.74 ! [A] : ~ empty(succ(A)) ).
% 0.23/0.74
% 0.23/0.74 fof(fc1_xboole_0,axiom,
% 0.23/0.74 empty(empty_set) ).
% 0.23/0.74
% 0.23/0.74 fof(fc2_relat_1,axiom,
% 0.23/0.74 ! [A,B] :
% 0.23/0.74 ( ( relation(A)
% 0.23/0.74 & relation(B) )
% 0.23/0.74 => relation(set_union2(A,B)) ) ).
% 0.23/0.74
% 0.23/0.74 fof(fc2_xboole_0,axiom,
% 0.23/0.74 ! [A,B] :
% 0.23/0.74 ( ~ empty(A)
% 0.23/0.74 => ~ empty(set_union2(A,B)) ) ).
% 0.23/0.74
% 0.23/0.74 fof(fc3_xboole_0,axiom,
% 0.23/0.74 ! [A,B] :
% 0.23/0.74 ( ~ empty(A)
% 0.23/0.74 => ~ empty(set_union2(B,A)) ) ).
% 0.23/0.74
% 0.23/0.74 fof(fc4_relat_1,axiom,
% 0.23/0.74 ( empty(empty_set)
% 0.23/0.74 & relation(empty_set) ) ).
% 0.23/0.74
% 0.23/0.74 fof(idempotence_k2_xboole_0,axiom,
% 0.23/0.74 ! [A,B] : set_union2(A,A) = A ).
% 0.23/0.74
% 0.23/0.74 fof(rc1_funct_1,axiom,
% 0.23/0.74 ? [A] :
% 0.23/0.74 ( relation(A)
% 0.23/0.74 & function(A) ) ).
% 0.23/0.74
% 0.23/0.74 fof(rc1_relat_1,axiom,
% 0.23/0.74 ? [A] :
% 0.23/0.74 ( empty(A)
% 0.23/0.74 & relation(A) ) ).
% 0.23/0.74
% 0.23/0.74 fof(rc1_xboole_0,axiom,
% 0.23/0.74 ? [A] : empty(A) ).
% 0.23/0.74
% 0.23/0.74 fof(rc2_funct_1,axiom,
% 0.23/0.74 ? [A] :
% 0.23/0.74 ( relation(A)
% 0.23/0.74 & empty(A)
% 0.23/0.75 & function(A) ) ).
% 0.23/0.75
% 0.23/0.75 fof(rc2_relat_1,axiom,
% 0.23/0.75 ? [A] :
% 0.23/0.75 ( ~ empty(A)
% 0.23/0.75 & relation(A) ) ).
% 0.23/0.75
% 0.23/0.75 fof(rc2_xboole_0,axiom,
% 0.23/0.75 ? [A] : ~ empty(A) ).
% 0.23/0.75
% 0.23/0.75 fof(rc3_funct_1,axiom,
% 0.23/0.75 ? [A] :
% 0.23/0.75 ( relation(A)
% 0.23/0.75 & function(A)
% 0.23/0.75 & one_to_one(A) ) ).
% 0.23/0.75
% 0.23/0.75 fof(rc3_relat_1,axiom,
% 0.23/0.75 ? [A] :
% 0.23/0.75 ( relation(A)
% 0.23/0.75 & relation_empty_yielding(A) ) ).
% 0.23/0.75
% 0.23/0.75 fof(rc4_funct_1,axiom,
% 0.23/0.75 ? [A] :
% 0.23/0.75 ( relation(A)
% 0.23/0.75 & relation_empty_yielding(A)
% 0.23/0.75 & function(A) ) ).
% 0.23/0.75
% 0.23/0.75 fof(rc5_funct_1,axiom,
% 0.23/0.75 ? [A] :
% 0.23/0.75 ( relation(A)
% 0.23/0.75 & relation_non_empty(A)
% 0.23/0.75 & function(A) ) ).
% 0.23/0.75
% 0.23/0.75 fof(t10_ordinal1,conjecture,
% 0.23/0.75 ! [A] : in(A,succ(A)) ).
% 0.23/0.75
% 0.23/0.75 fof(t1_boole,axiom,
% 0.23/0.75 ! [A] : set_union2(A,empty_set) = A ).
% 0.23/0.75
% 0.23/0.75 fof(t1_subset,axiom,
% 0.23/0.75 ! [A,B] :
% 0.23/0.75 ( in(A,B)
% 0.23/0.75 => element(A,B) ) ).
% 0.23/0.75
% 0.23/0.75 fof(t2_subset,axiom,
% 0.23/0.75 ! [A,B] :
% 0.23/0.75 ( element(A,B)
% 0.23/0.75 => ( empty(B)
% 0.23/0.75 | in(A,B) ) ) ).
% 0.23/0.75
% 0.23/0.75 fof(t6_boole,axiom,
% 0.23/0.75 ! [A] :
% 0.23/0.75 ( empty(A)
% 0.23/0.75 => A = empty_set ) ).
% 0.23/0.75
% 0.23/0.75 fof(t7_boole,axiom,
% 0.23/0.75 ! [A,B] :
% 0.23/0.75 ~ ( in(A,B)
% 0.23/0.75 & empty(B) ) ).
% 0.23/0.75
% 0.23/0.75 fof(t8_boole,axiom,
% 0.23/0.75 ! [A,B] :
% 0.23/0.75 ~ ( empty(A)
% 0.23/0.75 & A != B
% 0.23/0.75 & empty(B) ) ).
% 0.23/0.75
% 0.23/0.75 %------------------------------------------------------------------------------
% 0.23/0.75 %-------------------------------------------
% 0.23/0.75 % Proof found
% 0.23/0.75 % SZS status Theorem for theBenchmark
% 0.23/0.75 % SZS output start Proof
% 0.23/0.75 %ClaNum:78(EqnAxiom:22)
% 0.23/0.75 %VarNum:141(SingletonVarNum:57)
% 0.23/0.75 %MaxLitNum:4
% 0.23/0.75 %MaxfuncDepth:2
% 0.23/0.75 %SharedTerms:40
% 0.23/0.75 %goalClause: 55
% 0.23/0.75 %singleGoalClaCount:1
% 0.23/0.75 [25]P1(a1)
% 0.23/0.75 [26]P1(a2)
% 0.23/0.75 [27]P1(a12)
% 0.23/0.75 [28]P1(a13)
% 0.23/0.75 [29]P3(a3)
% 0.23/0.75 [30]P3(a13)
% 0.23/0.75 [31]P3(a4)
% 0.23/0.75 [32]P3(a5)
% 0.23/0.75 [33]P3(a7)
% 0.23/0.75 [35]P4(a1)
% 0.23/0.75 [36]P4(a3)
% 0.23/0.75 [37]P4(a2)
% 0.23/0.75 [38]P4(a13)
% 0.23/0.75 [39]P4(a14)
% 0.23/0.75 [40]P4(a4)
% 0.23/0.75 [41]P4(a6)
% 0.23/0.75 [42]P4(a5)
% 0.23/0.75 [43]P4(a7)
% 0.23/0.75 [44]P5(a4)
% 0.23/0.75 [45]P7(a1)
% 0.23/0.75 [46]P7(a6)
% 0.23/0.75 [47]P7(a5)
% 0.23/0.75 [48]P8(a7)
% 0.23/0.75 [53]~P1(a14)
% 0.23/0.75 [54]~P1(a16)
% 0.23/0.75 [55]~P6(a9,f15(a9,f17(a9)))
% 0.23/0.75 [49]E(f15(x491,a1),x491)
% 0.23/0.75 [50]E(f15(x501,x501),x501)
% 0.23/0.75 [51]P2(f8(x511),x511)
% 0.23/0.75 [56]~P1(f15(x561,f17(x561)))
% 0.23/0.75 [52]E(f15(x521,x522),f15(x522,x521))
% 0.23/0.75 [57]~P1(x571)+E(x571,a1)
% 0.23/0.75 [58]~P1(x581)+P3(x581)
% 0.23/0.75 [59]~P1(x591)+P4(x591)
% 0.23/0.75 [63]~P1(x631)+~P6(x632,x631)
% 0.23/0.75 [65]~P6(x651,x652)+P2(x651,x652)
% 0.23/0.75 [68]~P6(x682,x681)+~P6(x681,x682)
% 0.23/0.75 [69]P1(x691)+~P1(f15(x692,x691))
% 0.23/0.75 [70]P1(x701)+~P1(f15(x701,x702))
% 0.23/0.75 [60]~P1(x602)+~P1(x601)+E(x601,x602)
% 0.23/0.75 [66]~P2(x662,x661)+P1(x661)+P6(x662,x661)
% 0.23/0.75 [67]~P4(x672)+~P4(x671)+P4(f15(x671,x672))
% 0.23/0.75 [71]E(f10(x712,x711),x712)+P6(f10(x712,x711),x711)+E(x711,f17(x712))
% 0.23/0.75 [75]~E(f10(x752,x751),x752)+~P6(f10(x752,x751),x751)+E(x751,f17(x752))
% 0.23/0.75 [62]P6(x621,x622)+~E(x621,x623)+~E(x622,f17(x623))
% 0.23/0.75 [64]~P6(x641,x643)+E(x641,x642)+~E(x643,f17(x642))
% 0.23/0.75 [77]~P6(f11(x772,x773,x771),x771)+~P6(f11(x772,x773,x771),x773)+E(x771,f15(x772,x773))
% 0.23/0.75 [78]~P6(f11(x782,x783,x781),x781)+~P6(f11(x782,x783,x781),x782)+E(x781,f15(x782,x783))
% 0.23/0.75 [72]~P6(x721,x724)+P6(x721,x722)+~E(x722,f15(x723,x724))
% 0.23/0.75 [73]~P6(x731,x733)+P6(x731,x732)+~E(x732,f15(x733,x734))
% 0.23/0.75 [61]~P1(x611)+~P3(x611)+~P4(x611)+P5(x611)
% 0.23/0.75 [76]P6(f11(x762,x763,x761),x761)+P6(f11(x762,x763,x761),x763)+P6(f11(x762,x763,x761),x762)+E(x761,f15(x762,x763))
% 0.23/0.75 [74]~P6(x741,x744)+P6(x741,x742)+P6(x741,x743)+~E(x744,f15(x743,x742))
% 0.23/0.75 %EqnAxiom
% 0.23/0.75 [1]E(x11,x11)
% 0.23/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.23/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.23/0.75 [4]~E(x41,x42)+E(f15(x41,x43),f15(x42,x43))
% 0.23/0.75 [5]~E(x51,x52)+E(f15(x53,x51),f15(x53,x52))
% 0.23/0.75 [6]~E(x61,x62)+E(f11(x61,x63,x64),f11(x62,x63,x64))
% 0.23/0.75 [7]~E(x71,x72)+E(f11(x73,x71,x74),f11(x73,x72,x74))
% 0.23/0.75 [8]~E(x81,x82)+E(f11(x83,x84,x81),f11(x83,x84,x82))
% 0.23/0.75 [9]~E(x91,x92)+E(f8(x91),f8(x92))
% 0.23/0.75 [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 0.23/0.75 [11]~E(x111,x112)+E(f10(x111,x113),f10(x112,x113))
% 0.23/0.75 [12]~E(x121,x122)+E(f10(x123,x121),f10(x123,x122))
% 0.23/0.75 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 0.23/0.75 [14]P6(x142,x143)+~E(x141,x142)+~P6(x141,x143)
% 0.23/0.75 [15]P6(x153,x152)+~E(x151,x152)+~P6(x153,x151)
% 0.23/0.75 [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 0.23/0.75 [17]~P3(x171)+P3(x172)+~E(x171,x172)
% 0.23/0.75 [18]~P5(x181)+P5(x182)+~E(x181,x182)
% 0.23/0.75 [19]P2(x192,x193)+~E(x191,x192)+~P2(x191,x193)
% 0.23/0.75 [20]P2(x203,x202)+~E(x201,x202)+~P2(x203,x201)
% 0.23/0.75 [21]~P8(x211)+P8(x212)+~E(x211,x212)
% 0.23/0.75 [22]~P7(x221)+P7(x222)+~E(x221,x222)
% 0.23/0.75
% 0.23/0.75 %-------------------------------------------
% 0.23/0.75 cnf(79,plain,
% 0.23/0.75 (E(x791,f15(x791,x791))),
% 0.23/0.75 inference(scs_inference,[],[50,2])).
% 0.23/0.75 cnf(80,plain,
% 0.23/0.75 (~P6(x801,a1)),
% 0.23/0.75 inference(scs_inference,[],[25,50,2,63])).
% 0.23/0.75 cnf(84,plain,
% 0.23/0.75 (P2(f8(x841),x841)),
% 0.23/0.75 inference(rename_variables,[],[51])).
% 0.23/0.75 cnf(85,plain,
% 0.23/0.75 (E(f15(x851,x851),x851)),
% 0.23/0.75 inference(rename_variables,[],[50])).
% 0.23/0.75 cnf(88,plain,
% 0.23/0.75 (E(f15(x881,x881),x881)),
% 0.23/0.75 inference(rename_variables,[],[50])).
% 0.23/0.75 cnf(90,plain,
% 0.23/0.75 (E(f15(x901,a1),x901)),
% 0.23/0.75 inference(rename_variables,[],[49])).
% 0.23/0.75 cnf(91,plain,
% 0.23/0.75 (P6(f8(a14),a14)),
% 0.23/0.75 inference(scs_inference,[],[25,35,45,53,50,85,88,51,84,49,2,63,22,20,16,13,3,66])).
% 0.23/0.75 cnf(95,plain,
% 0.23/0.75 (E(f15(x951,x951),x951)),
% 0.23/0.75 inference(rename_variables,[],[50])).
% 0.23/0.75 cnf(98,plain,
% 0.23/0.75 (E(f15(x981,x981),x981)),
% 0.23/0.75 inference(rename_variables,[],[50])).
% 0.23/0.75 cnf(100,plain,
% 0.23/0.75 (P6(f15(x1001,a1),f15(f17(x1001),f17(x1001)))),
% 0.23/0.75 inference(scs_inference,[],[25,35,45,53,50,85,88,95,98,51,84,49,90,2,63,22,20,16,13,3,66,73,72,62])).
% 0.23/0.75 cnf(101,plain,
% 0.23/0.75 (E(f15(x1011,x1011),x1011)),
% 0.23/0.75 inference(rename_variables,[],[50])).
% 0.23/0.75 cnf(110,plain,
% 0.23/0.75 (P2(f8(a14),f15(f15(a14,x1101),f15(a14,x1101)))),
% 0.23/0.75 inference(scs_inference,[],[25,28,30,35,38,45,53,50,85,88,95,98,51,84,49,90,52,2,63,22,20,16,13,3,66,73,72,62,61,74,68,65])).
% 0.23/0.75 cnf(114,plain,
% 0.23/0.75 (P3(a1)),
% 0.23/0.75 inference(scs_inference,[],[25,27,28,30,35,38,45,53,50,85,88,95,98,51,84,49,90,52,2,63,22,20,16,13,3,66,73,72,62,61,74,68,65,59,58])).
% 0.23/0.75 cnf(118,plain,
% 0.23/0.75 (~P1(f15(a14,x1181))),
% 0.23/0.75 inference(scs_inference,[],[25,26,27,28,30,35,38,45,53,50,85,88,95,98,51,84,49,90,52,2,63,22,20,16,13,3,66,73,72,62,61,74,68,65,59,58,57,70])).
% 0.23/0.75 cnf(131,plain,
% 0.23/0.75 (~E(a7,x1311)+P8(x1311)),
% 0.23/0.75 inference(scs_inference,[],[25,26,27,28,30,35,38,45,48,53,50,85,88,95,98,101,51,84,49,90,52,2,63,22,20,16,13,3,66,73,72,62,61,74,68,65,59,58,57,70,69,12,11,10,9,8,7,6,5,4,21])).
% 0.23/0.75 cnf(132,plain,
% 0.23/0.75 (P3(f15(a1,a1))),
% 0.23/0.75 inference(scs_inference,[],[25,26,27,28,30,35,38,45,48,53,50,85,88,95,98,101,51,84,49,90,52,2,63,22,20,16,13,3,66,73,72,62,61,74,68,65,59,58,57,70,69,12,11,10,9,8,7,6,5,4,21,17])).
% 0.23/0.75 cnf(133,plain,
% 0.23/0.75 (~P6(x1331,f15(a1,a1))),
% 0.23/0.75 inference(scs_inference,[],[25,26,27,28,30,35,38,45,48,53,50,85,88,95,98,101,51,84,49,90,52,2,63,22,20,16,13,3,66,73,72,62,61,74,68,65,59,58,57,70,69,12,11,10,9,8,7,6,5,4,21,17,15])).
% 0.23/0.75 cnf(134,plain,
% 0.23/0.75 (E(f15(x1341,x1341),x1341)),
% 0.23/0.75 inference(rename_variables,[],[50])).
% 0.23/0.75 cnf(136,plain,
% 0.23/0.75 (E(f15(x1361,x1361),x1361)),
% 0.23/0.75 inference(rename_variables,[],[50])).
% 0.23/0.75 cnf(139,plain,
% 0.23/0.75 (~P2(f15(x1391,x1391),x1392)+P2(x1391,x1392)),
% 0.23/0.75 inference(scs_inference,[],[55,25,26,27,28,30,35,36,38,45,48,53,50,85,88,95,98,101,134,136,51,84,49,90,52,2,63,22,20,16,13,3,66,73,72,62,61,74,68,65,59,58,57,70,69,12,11,10,9,8,7,6,5,4,21,17,15,14,67,19])).
% 0.23/0.75 cnf(144,plain,
% 0.23/0.75 (E(x1441,f15(x1441,x1441))),
% 0.23/0.75 inference(rename_variables,[],[79])).
% 0.23/0.75 cnf(145,plain,
% 0.23/0.75 (P5(f15(a4,a4))),
% 0.23/0.75 inference(scs_inference,[],[44,79,144,131,18])).
% 0.23/0.75 cnf(146,plain,
% 0.23/0.75 (E(x1461,f15(x1461,x1461))),
% 0.23/0.75 inference(rename_variables,[],[79])).
% 0.23/0.75 cnf(150,plain,
% 0.23/0.75 (~P6(x1501,f15(a1,a1))),
% 0.23/0.75 inference(rename_variables,[],[133])).
% 0.23/0.75 cnf(152,plain,
% 0.23/0.75 (~P6(f15(f17(x1521),f17(x1521)),f15(x1521,a1))),
% 0.23/0.75 inference(scs_inference,[],[44,79,144,133,100,80,131,18,76,68])).
% 0.23/0.75 cnf(154,plain,
% 0.23/0.75 (~P2(a9,f15(a9,f17(a9)))),
% 0.23/0.75 inference(scs_inference,[],[55,44,56,79,144,133,100,80,131,18,76,68,66])).
% 0.23/0.75 cnf(157,plain,
% 0.23/0.75 (~E(f15(a1,a1),f15(a14,x1571))),
% 0.23/0.75 inference(scs_inference,[],[55,44,56,79,144,133,150,100,91,80,131,18,76,68,66,73])).
% 0.23/0.75 cnf(158,plain,
% 0.23/0.75 (~P6(x1581,f15(a1,a1))),
% 0.23/0.75 inference(rename_variables,[],[133])).
% 0.23/0.75 cnf(161,plain,
% 0.23/0.75 (~P6(x1611,f15(a1,a1))),
% 0.23/0.75 inference(rename_variables,[],[133])).
% 0.23/0.75 cnf(164,plain,
% 0.23/0.75 (E(x1641,f15(x1641,x1641))),
% 0.23/0.75 inference(rename_variables,[],[79])).
% 0.23/0.75 cnf(165,plain,
% 0.23/0.75 (P6(x1651,x1652)+~E(x1651,x1653)+~E(x1652,f17(x1653))),
% 0.23/0.75 inference(rename_variables,[],[62])).
% 0.23/0.75 cnf(168,plain,
% 0.23/0.75 (P6(x1681,f15(f17(x1681),f17(x1681)))),
% 0.23/0.75 inference(scs_inference,[],[55,37,44,56,49,79,144,146,164,133,150,158,100,91,80,131,18,76,68,66,73,72,62,2,16,14])).
% 0.23/0.75 cnf(169,plain,
% 0.23/0.75 (E(f15(x1691,a1),x1691)),
% 0.23/0.75 inference(rename_variables,[],[49])).
% 0.23/0.75 cnf(183,plain,
% 0.23/0.75 (~E(a1,a14)),
% 0.23/0.75 inference(scs_inference,[],[55,37,39,44,54,56,26,49,169,35,25,79,144,146,164,133,150,158,161,100,91,80,114,131,18,76,68,66,73,72,62,2,16,14,13,3,67,61,63,74,5])).
% 0.23/0.75 cnf(185,plain,
% 0.23/0.76 (P6(f15(x1851,a1),f17(x1851))),
% 0.23/0.76 inference(scs_inference,[],[55,37,39,44,54,56,26,49,169,35,25,50,79,144,146,164,133,150,158,161,100,91,80,114,131,18,76,68,66,73,72,62,2,16,14,13,3,67,61,63,74,5,4,15])).
% 0.23/0.76 cnf(198,plain,
% 0.23/0.76 (~E(a6,x1981)+P7(x1981)),
% 0.23/0.76 inference(scs_inference,[],[55,37,39,44,46,54,56,26,49,169,52,35,25,50,79,144,146,164,133,150,158,161,132,100,91,80,114,131,18,76,68,66,73,72,62,2,16,14,13,3,67,61,63,74,5,4,15,64,165,20,17,65,139,22])).
% 0.23/0.76 cnf(199,plain,
% 0.23/0.76 (P2(x1991,f15(f15(a14,x1992),f15(a14,x1992)))+~E(f8(a14),x1991)),
% 0.23/0.76 inference(scs_inference,[],[55,37,39,44,46,54,56,26,49,169,52,35,25,50,79,144,146,164,133,150,158,161,132,100,110,91,80,114,131,18,76,68,66,73,72,62,2,16,14,13,3,67,61,63,74,5,4,15,64,165,20,17,65,139,22,19])).
% 0.23/0.76 cnf(203,plain,
% 0.23/0.76 (E(x2031,f15(x2031,x2031))),
% 0.23/0.76 inference(rename_variables,[],[79])).
% 0.23/0.76 cnf(205,plain,
% 0.23/0.76 (E(x2051,f15(x2051,x2051))),
% 0.23/0.76 inference(rename_variables,[],[79])).
% 0.23/0.76 cnf(209,plain,
% 0.23/0.76 (E(f15(x2091,a1),x2091)),
% 0.23/0.76 inference(rename_variables,[],[49])).
% 0.23/0.76 cnf(212,plain,
% 0.23/0.76 (E(f15(x2121,a1),x2121)),
% 0.23/0.76 inference(rename_variables,[],[49])).
% 0.23/0.76 cnf(226,plain,
% 0.23/0.76 (P6(x2261,f17(x2261))),
% 0.23/0.76 inference(scs_inference,[],[79,203,205,49,209,212,50,168,185,157,145,183,154,80,133,199,198,68,64,62,76,18,63,65,2,20,14])).
% 0.23/0.76 cnf(261,plain,
% 0.23/0.76 ($false),
% 0.23/0.76 inference(scs_inference,[],[52,226,152,118,80,133,55,76,66,68,73]),
% 0.23/0.76 ['proof']).
% 0.23/0.76 % SZS output end Proof
% 0.23/0.76 % Total time :0.050000s
%------------------------------------------------------------------------------