TSTP Solution File: NUN069+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% 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 12:45:22 EDT 2023
% Result : Theorem 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 09:32:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % File :CSE---1.6
% 0.20/0.61 % Problem :theBenchmark
% 0.20/0.61 % Transform :cnf
% 0.20/0.61 % Format :tptp:raw
% 0.20/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.61
% 0.20/0.61 % Result :Theorem 0.000000s
% 0.20/0.61 % Output :CNFRefutation 0.000000s
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 % File : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% 0.20/0.61 % Domain : Number Theory
% 0.20/0.61 % Problem : Robinson arithmetic: 1 = 1
% 0.20/0.61 % Version : Especial.
% 0.20/0.61 % English :
% 0.20/0.61
% 0.20/0.61 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 0.20/0.61 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 0.20/0.61 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 0.20/0.61 % Source : [Lam18]
% 0.20/0.61 % Names : oneeqone [Lam18]
% 0.20/0.61
% 0.20/0.61 % Status : Theorem
% 0.20/0.61 % Rating : 0.06 v8.1.0, 0.03 v7.3.0
% 0.20/0.61 % Syntax : Number of formulae : 12 ( 0 unt; 0 def)
% 0.20/0.61 % Number of atoms : 47 ( 18 equ)
% 0.20/0.61 % Maximal formula atoms : 5 ( 3 avg)
% 0.20/0.61 % Number of connectives : 49 ( 14 ~; 10 |; 25 &)
% 0.20/0.61 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.61 % Maximal formula depth : 9 ( 7 avg)
% 0.20/0.61 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.61 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 0.20/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.20/0.61 % Number of variables : 45 ( 23 !; 22 ?)
% 0.20/0.61 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.61
% 0.20/0.61 % Comments : Translated to FOL with equality.
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 include('Axioms/NUM008+0.ax').
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 fof(oneeqone,conjecture,
% 0.20/0.61 ? [Y1] :
% 0.20/0.61 ( Y1 = Y1
% 0.20/0.61 & ? [Y2] :
% 0.20/0.61 ( r1(Y2)
% 0.20/0.61 & r2(Y2,Y1) ) ) ).
% 0.20/0.61
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof
% 0.20/0.61 %ClaNum:63(EqnAxiom:35)
% 0.20/0.61 %VarNum:108(SingletonVarNum:52)
% 0.20/0.61 %MaxLitNum:4
% 0.20/0.61 %MaxfuncDepth:1
% 0.20/0.61 %SharedTerms:1
% 0.20/0.61 %goalClause: 55
% 0.20/0.61 [36]P1(f1(x361))
% 0.20/0.61 [37]P1(f4(x371))
% 0.20/0.61 [38]P1(f5(x381))
% 0.20/0.61 [41]P3(x411,f1(x411),x411)
% 0.20/0.61 [43]P4(x431,f5(x431),f4(x431))
% 0.20/0.61 [39]P2(x391,f6(x392,x391))
% 0.20/0.61 [40]P2(x401,f2(x402,x401))
% 0.20/0.61 [42]P2(f15(x421,x422),f7(x421,x422))
% 0.20/0.61 [44]P3(x441,x442,f15(x441,x442))
% 0.20/0.61 [45]P4(x451,x452,f3(x451,x452))
% 0.20/0.61 [46]P3(x461,f6(x461,x462),f7(x461,x462))
% 0.20/0.61 [47]P4(x471,f2(x471,x472),f16(x471,x472))
% 0.20/0.61 [48]P3(f3(x481,x482),x481,f16(x481,x482))
% 0.20/0.61 [49]P1(x491)+~E(x491,a8)
% 0.20/0.62 [50]~P1(x501)+E(x501,a8)
% 0.20/0.62 [51]E(f11(x511),x511)+E(f9(x511),x511)
% 0.20/0.62 [52]E(f11(x521),x521)+P1(f9(x521))
% 0.20/0.62 [56]P2(f10(x561),f11(x561))+E(f9(x561),x561)
% 0.20/0.62 [58]P2(f10(x581),f11(x581))+P1(f9(x581))
% 0.20/0.62 [55]~P1(x551)+~P2(x551,x552)
% 0.20/0.62 [53]P2(x531,x532)+~E(x532,f12(x531))
% 0.20/0.62 [54]~P2(x542,x541)+E(x541,f12(x542))
% 0.20/0.62 [60]P3(x601,x602,x603)+~E(x603,f13(x601,x602))
% 0.20/0.62 [61]P4(x611,x612,x613)+~E(x613,f14(x611,x612))
% 0.20/0.62 [62]~P3(x622,x623,x621)+E(x621,f13(x622,x623))
% 0.20/0.62 [63]~P4(x632,x633,x631)+E(x631,f14(x632,x633))
% 0.20/0.62 [57]~P1(x571)+~E(x571,x572)+~P2(x573,x572)
% 0.20/0.62 [59]~P2(x592,x594)+~P2(x591,x593)+E(x591,x592)+~E(x593,x594)
% 0.20/0.62 %EqnAxiom
% 0.20/0.62 [1]E(x11,x11)
% 0.20/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.62 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.20/0.62 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.20/0.62 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 0.20/0.62 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 0.20/0.62 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 0.20/0.62 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 0.20/0.62 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 0.20/0.62 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 0.20/0.62 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 0.20/0.62 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 0.20/0.62 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 0.20/0.62 [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153))
% 0.20/0.62 [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162))
% 0.20/0.62 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 0.20/0.62 [18]~E(x181,x182)+E(f13(x181,x183),f13(x182,x183))
% 0.20/0.62 [19]~E(x191,x192)+E(f13(x193,x191),f13(x193,x192))
% 0.20/0.62 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 0.20/0.62 [21]~E(x211,x212)+E(f3(x211,x213),f3(x212,x213))
% 0.20/0.62 [22]~E(x221,x222)+E(f3(x223,x221),f3(x223,x222))
% 0.20/0.62 [23]~E(x231,x232)+E(f12(x231),f12(x232))
% 0.20/0.62 [24]~E(x241,x242)+E(f11(x241),f11(x242))
% 0.20/0.62 [25]~E(x251,x252)+E(f16(x251,x253),f16(x252,x253))
% 0.20/0.62 [26]~E(x261,x262)+E(f16(x263,x261),f16(x263,x262))
% 0.20/0.62 [27]~P1(x271)+P1(x272)+~E(x271,x272)
% 0.20/0.62 [28]P4(x282,x283,x284)+~E(x281,x282)+~P4(x281,x283,x284)
% 0.20/0.62 [29]P4(x293,x292,x294)+~E(x291,x292)+~P4(x293,x291,x294)
% 0.20/0.62 [30]P4(x303,x304,x302)+~E(x301,x302)+~P4(x303,x304,x301)
% 0.20/0.62 [31]P3(x312,x313,x314)+~E(x311,x312)+~P3(x311,x313,x314)
% 0.20/0.62 [32]P3(x323,x322,x324)+~E(x321,x322)+~P3(x323,x321,x324)
% 0.20/0.62 [33]P3(x333,x334,x332)+~E(x331,x332)+~P3(x333,x334,x331)
% 0.20/0.62 [34]P2(x342,x343)+~E(x341,x342)+~P2(x341,x343)
% 0.20/0.62 [35]P2(x353,x352)+~E(x351,x352)+~P2(x353,x351)
% 0.20/0.62
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 cnf(64,plain,
% 0.20/0.62 ($false),
% 0.20/0.62 inference(scs_inference,[],[36,39,55]),
% 0.20/0.62 ['proof']).
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------