TSTP Solution File: NUN088+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN088+3 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n001.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 12:45:29 EDT 2023
% Result : Theorem 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN088+3 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 10:23:17 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % File :CSE---1.6
% 0.19/0.63 % Problem :theBenchmark
% 0.19/0.63 % Transform :cnf
% 0.19/0.63 % Format :tptp:raw
% 0.19/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.63
% 0.19/0.63 % Result :Theorem 0.000000s
% 0.19/0.63 % Output :CNFRefutation 0.000000s
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 % File : NUN088+3 : TPTP v8.1.2. Released v7.3.0.
% 0.19/0.63 % Domain : Number Theory
% 0.19/0.63 % Problem : Robinson arithmetic: 0 != 1
% 0.19/0.64 % Version : Especial.
% 0.19/0.64 % English :
% 0.19/0.64
% 0.19/0.64 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 0.19/0.64 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 0.19/0.64 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 0.19/0.64 % Source : [Lam18]
% 0.19/0.64 % Names : zerouneqone2 [Lam18]
% 0.19/0.64
% 0.19/0.64 % Status : Theorem
% 0.19/0.64 % Rating : 0.06 v7.4.0, 0.07 v7.3.0
% 0.19/0.64 % Syntax : Number of formulae : 12 ( 0 unt; 0 def)
% 0.19/0.64 % Number of atoms : 47 ( 18 equ)
% 0.19/0.64 % Maximal formula atoms : 5 ( 3 avg)
% 0.19/0.64 % Number of connectives : 52 ( 17 ~; 12 |; 23 &)
% 0.19/0.64 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.64 % Maximal formula depth : 9 ( 7 avg)
% 0.19/0.64 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.64 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 0.19/0.64 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.64 % Number of variables : 45 ( 25 !; 20 ?)
% 0.19/0.64 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.64
% 0.19/0.64 % Comments :
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 include('Axioms/NUM008+0.ax').
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 fof(zerouneqone2,conjecture,
% 0.19/0.64 ! [Y0] :
% 0.19/0.64 ( ! [Y1] :
% 0.19/0.64 ( Y0 != Y1
% 0.19/0.64 | ~ r2(Y0,Y1) )
% 0.19/0.64 | ~ r1(Y0) ) ).
% 0.19/0.64
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64 % SZS output start Proof
% 0.19/0.64 %ClaNum:65(EqnAxiom:35)
% 0.19/0.64 %VarNum:105(SingletonVarNum:50)
% 0.19/0.64 %MaxLitNum:4
% 0.19/0.64 %MaxfuncDepth:1
% 0.19/0.64 %SharedTerms:6
% 0.19/0.64 %goalClause: 36 37 41
% 0.19/0.64 %singleGoalClaCount:3
% 0.19/0.64 [36]E(a1,a2)
% 0.19/0.64 [37]P1(a2)
% 0.19/0.64 [41]P2(a2,a1)
% 0.19/0.64 [38]P1(f3(x381))
% 0.19/0.64 [39]P1(f6(x391))
% 0.19/0.64 [40]P1(f7(x401))
% 0.19/0.64 [44]P3(x441,f3(x441),x441)
% 0.19/0.64 [46]P4(x461,f7(x461),f6(x461))
% 0.19/0.64 [42]P2(x421,f12(x422,x421))
% 0.19/0.64 [43]P2(x431,f4(x432,x431))
% 0.19/0.64 [45]P2(f17(x451,x452),f13(x451,x452))
% 0.19/0.64 [47]P3(x471,x472,f17(x471,x472))
% 0.19/0.64 [48]P4(x481,x482,f5(x481,x482))
% 0.19/0.64 [49]P3(x491,f12(x491,x492),f13(x491,x492))
% 0.19/0.64 [50]P4(x501,f4(x501,x502),f18(x501,x502))
% 0.19/0.64 [51]P3(f5(x511,x512),x511,f18(x511,x512))
% 0.19/0.64 [52]P1(x521)+~E(x521,a8)
% 0.19/0.64 [53]~P1(x531)+E(x531,a8)
% 0.19/0.64 [54]E(f11(x541),x541)+E(f9(x541),x541)
% 0.19/0.64 [55]E(f11(x551),x551)+P1(f9(x551))
% 0.19/0.64 [58]P2(f10(x581),f11(x581))+E(f9(x581),x581)
% 0.19/0.64 [60]P2(f10(x601),f11(x601))+P1(f9(x601))
% 0.19/0.64 [56]P2(x561,x562)+~E(x562,f14(x561))
% 0.19/0.64 [57]~P2(x572,x571)+E(x571,f14(x572))
% 0.19/0.64 [62]P3(x621,x622,x623)+~E(x623,f15(x621,x622))
% 0.19/0.64 [63]P4(x631,x632,x633)+~E(x633,f16(x631,x632))
% 0.19/0.64 [64]~P3(x642,x643,x641)+E(x641,f15(x642,x643))
% 0.19/0.64 [65]~P4(x652,x653,x651)+E(x651,f16(x652,x653))
% 0.19/0.64 [59]~P1(x591)+~E(x591,x592)+~P2(x593,x592)
% 0.19/0.64 [61]~P2(x612,x614)+~P2(x611,x613)+E(x611,x612)+~E(x613,x614)
% 0.19/0.64 %EqnAxiom
% 0.19/0.64 [1]E(x11,x11)
% 0.19/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.64 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.19/0.64 [5]~E(x51,x52)+E(f6(x51),f6(x52))
% 0.19/0.64 [6]~E(x61,x62)+E(f7(x61),f7(x62))
% 0.19/0.64 [7]~E(x71,x72)+E(f12(x71,x73),f12(x72,x73))
% 0.19/0.64 [8]~E(x81,x82)+E(f12(x83,x81),f12(x83,x82))
% 0.19/0.64 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 0.19/0.64 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 0.19/0.64 [11]~E(x111,x112)+E(f16(x111,x113),f16(x112,x113))
% 0.19/0.64 [12]~E(x121,x122)+E(f16(x123,x121),f16(x123,x122))
% 0.19/0.64 [13]~E(x131,x132)+E(f17(x131,x133),f17(x132,x133))
% 0.19/0.64 [14]~E(x141,x142)+E(f17(x143,x141),f17(x143,x142))
% 0.19/0.64 [15]~E(x151,x152)+E(f13(x151,x153),f13(x152,x153))
% 0.19/0.64 [16]~E(x161,x162)+E(f13(x163,x161),f13(x163,x162))
% 0.19/0.64 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 0.19/0.64 [18]~E(x181,x182)+E(f15(x181,x183),f15(x182,x183))
% 0.19/0.64 [19]~E(x191,x192)+E(f15(x193,x191),f15(x193,x192))
% 0.19/0.64 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 0.19/0.64 [21]~E(x211,x212)+E(f5(x211,x213),f5(x212,x213))
% 0.19/0.64 [22]~E(x221,x222)+E(f5(x223,x221),f5(x223,x222))
% 0.19/0.64 [23]~E(x231,x232)+E(f14(x231),f14(x232))
% 0.19/0.64 [24]~E(x241,x242)+E(f11(x241),f11(x242))
% 0.19/0.64 [25]~E(x251,x252)+E(f18(x251,x253),f18(x252,x253))
% 0.19/0.64 [26]~E(x261,x262)+E(f18(x263,x261),f18(x263,x262))
% 0.19/0.64 [27]~P1(x271)+P1(x272)+~E(x271,x272)
% 0.19/0.64 [28]P4(x282,x283,x284)+~E(x281,x282)+~P4(x281,x283,x284)
% 0.19/0.64 [29]P4(x293,x292,x294)+~E(x291,x292)+~P4(x293,x291,x294)
% 0.19/0.64 [30]P4(x303,x304,x302)+~E(x301,x302)+~P4(x303,x304,x301)
% 0.19/0.64 [31]P3(x312,x313,x314)+~E(x311,x312)+~P3(x311,x313,x314)
% 0.19/0.64 [32]P3(x323,x322,x324)+~E(x321,x322)+~P3(x323,x321,x324)
% 0.19/0.64 [33]P3(x333,x334,x332)+~E(x331,x332)+~P3(x333,x334,x331)
% 0.19/0.64 [34]P2(x342,x343)+~E(x341,x342)+~P2(x341,x343)
% 0.19/0.64 [35]P2(x353,x352)+~E(x351,x352)+~P2(x353,x351)
% 0.19/0.64
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 cnf(70,plain,
% 0.19/0.64 (P3(x701,f3(x701),x701)),
% 0.19/0.64 inference(rename_variables,[],[44])).
% 0.19/0.64 cnf(78,plain,
% 0.19/0.64 ($false),
% 0.19/0.64 inference(scs_inference,[],[36,37,41,44,70,47,48,2,35,34,33,32,31,29,28,27,59]),
% 0.19/0.64 ['proof']).
% 0.19/0.64 % SZS output end Proof
% 0.19/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------