TSTP Solution File: NUN067+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN067+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 : 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 12:45:22 EDT 2023
% Result : Theorem 0.18s 0.64s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN067+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 : n010.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 09:04:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.58 start to proof:theBenchmark
% 0.18/0.63 %-------------------------------------------
% 0.18/0.63 % File :CSE---1.6
% 0.18/0.63 % Problem :theBenchmark
% 0.18/0.63 % Transform :cnf
% 0.18/0.63 % Format :tptp:raw
% 0.18/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.63
% 0.18/0.63 % Result :Theorem 0.000000s
% 0.18/0.63 % Output :CNFRefutation 0.000000s
% 0.18/0.63 %-------------------------------------------
% 0.18/0.64 %------------------------------------------------------------------------------
% 0.18/0.64 % File : NUN067+2 : TPTP v8.1.2. Released v7.3.0.
% 0.18/0.64 % Domain : Number Theory
% 0.18/0.64 % Problem : Robinson arithmetic: There exists X != 0
% 0.18/0.64 % Version : Especial.
% 0.18/0.64 % English :
% 0.18/0.64
% 0.18/0.64 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 0.18/0.64 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 0.18/0.64 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 0.18/0.64 % Source : [Lam18]
% 0.18/0.64 % Names : nonzerosexist [Lam18]
% 0.18/0.64
% 0.18/0.64 % Status : Theorem
% 0.18/0.64 % Rating : 0.11 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.07 v7.3.0
% 0.18/0.64 % Syntax : Number of formulae : 12 ( 0 unt; 0 def)
% 0.18/0.64 % Number of atoms : 46 ( 18 equ)
% 0.18/0.64 % Maximal formula atoms : 5 ( 3 avg)
% 0.18/0.64 % Number of connectives : 50 ( 16 ~; 11 |; 23 &)
% 0.18/0.64 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.64 % Maximal formula depth : 9 ( 7 avg)
% 0.18/0.64 % Maximal term depth : 1 ( 1 avg)
% 0.18/0.64 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 0.18/0.64 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.18/0.64 % Number of variables : 45 ( 24 !; 21 ?)
% 0.18/0.64 % SPC : FOF_THM_RFO_SEQ
% 0.18/0.64
% 0.18/0.64 % Comments : Translated to FOL with equality.
% 0.18/0.64 %------------------------------------------------------------------------------
% 0.18/0.64 include('Axioms/NUM008+0.ax').
% 0.18/0.64 %------------------------------------------------------------------------------
% 0.18/0.64 fof(nonzerosexist,conjecture,
% 0.18/0.64 ? [Y1] :
% 0.18/0.64 ! [Y2] :
% 0.18/0.64 ( ~ r1(Y2)
% 0.18/0.64 | Y1 != Y2 ) ).
% 0.18/0.64
% 0.18/0.64 %------------------------------------------------------------------------------
% 0.18/0.64 %-------------------------------------------
% 0.18/0.64 % Proof found
% 0.18/0.64 % SZS status Theorem for theBenchmark
% 0.18/0.64 % SZS output start Proof
% 0.18/0.64 %ClaNum:55(EqnAxiom:34)
% 0.18/0.64 %VarNum:84(SingletonVarNum:40)
% 0.18/0.64 %MaxLitNum:2
% 0.18/0.64 %MaxfuncDepth:1
% 0.18/0.64 %SharedTerms:1
% 0.18/0.64 %goalClause: 35 48
% 0.18/0.64 %singleGoalClaCount:1
% 0.18/0.64 [35]E(x351,a1)
% 0.18/0.64 [38]P2(x381,f3(x381),x381)
% 0.18/0.64 [40]P3(x401,f5(x401),f6(x401))
% 0.18/0.64 [36]P1(x361,f9(x362,x361))
% 0.18/0.64 [37]P1(x371,f2(x372,x371))
% 0.18/0.64 [39]P1(f15(x391,x392),f10(x391,x392))
% 0.18/0.64 [41]P2(x411,x412,f15(x411,x412))
% 0.18/0.64 [42]P3(x421,x422,f4(x421,x422))
% 0.18/0.64 [43]P2(x431,f9(x431,x432),f10(x431,x432))
% 0.18/0.64 [44]P3(x441,f2(x441,x442),f16(x441,x442))
% 0.18/0.64 [45]P2(f4(x451,x452),x451,f16(x451,x452))
% 0.18/0.64 [46]E(f11(x461),x461)+E(f7(x461),x461)
% 0.18/0.64 [50]P1(f8(x501),f11(x501))+E(f7(x501),x501)
% 0.18/0.64 [47]P1(x471,x472)+~E(x472,f12(x471))
% 0.18/0.64 [49]~P1(x492,x491)+E(x491,f12(x492))
% 0.18/0.64 [48]~E(x481,x482)+~P1(x483,x482)
% 0.18/0.64 [52]P2(x521,x522,x523)+~E(x523,f13(x521,x522))
% 0.18/0.64 [53]P3(x531,x532,x533)+~E(x533,f14(x531,x532))
% 0.18/0.64 [54]~P2(x542,x543,x541)+E(x541,f13(x542,x543))
% 0.18/0.64 [55]~P3(x552,x553,x551)+E(x551,f14(x552,x553))
% 0.18/0.64 %EqnAxiom
% 0.18/0.64 [1]E(x11,x11)
% 0.18/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.18/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.18/0.64 [4]~E(x41,x42)+E(f9(x41,x43),f9(x42,x43))
% 0.18/0.64 [5]~E(x51,x52)+E(f9(x53,x51),f9(x53,x52))
% 0.18/0.64 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63))
% 0.18/0.64 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72))
% 0.18/0.64 [8]~E(x81,x82)+E(f3(x81),f3(x82))
% 0.18/0.64 [9]~E(x91,x92)+E(f15(x91,x93),f15(x92,x93))
% 0.18/0.64 [10]~E(x101,x102)+E(f15(x103,x101),f15(x103,x102))
% 0.18/0.64 [11]~E(x111,x112)+E(f10(x111,x113),f10(x112,x113))
% 0.18/0.64 [12]~E(x121,x122)+E(f10(x123,x121),f10(x123,x122))
% 0.18/0.64 [13]~E(x131,x132)+E(f5(x131),f5(x132))
% 0.18/0.64 [14]~E(x141,x142)+E(f6(x141),f6(x142))
% 0.18/0.64 [15]~E(x151,x152)+E(f14(x151,x153),f14(x152,x153))
% 0.18/0.64 [16]~E(x161,x162)+E(f14(x163,x161),f14(x163,x162))
% 0.18/0.64 [17]~E(x171,x172)+E(f4(x171,x173),f4(x172,x173))
% 0.18/0.64 [18]~E(x181,x182)+E(f4(x183,x181),f4(x183,x182))
% 0.18/0.64 [19]~E(x191,x192)+E(f11(x191),f11(x192))
% 0.18/0.64 [20]~E(x201,x202)+E(f13(x201,x203),f13(x202,x203))
% 0.18/0.64 [21]~E(x211,x212)+E(f13(x213,x211),f13(x213,x212))
% 0.18/0.64 [22]~E(x221,x222)+E(f12(x221),f12(x222))
% 0.18/0.64 [23]~E(x231,x232)+E(f16(x231,x233),f16(x232,x233))
% 0.18/0.64 [24]~E(x241,x242)+E(f16(x243,x241),f16(x243,x242))
% 0.18/0.64 [25]~E(x251,x252)+E(f8(x251),f8(x252))
% 0.18/0.64 [26]~E(x261,x262)+E(f7(x261),f7(x262))
% 0.18/0.64 [27]P1(x272,x273)+~E(x271,x272)+~P1(x271,x273)
% 0.18/0.64 [28]P1(x283,x282)+~E(x281,x282)+~P1(x283,x281)
% 0.18/0.64 [29]P3(x292,x293,x294)+~E(x291,x292)+~P3(x291,x293,x294)
% 0.18/0.64 [30]P3(x303,x302,x304)+~E(x301,x302)+~P3(x303,x301,x304)
% 0.18/0.64 [31]P3(x313,x314,x312)+~E(x311,x312)+~P3(x313,x314,x311)
% 0.18/0.64 [32]P2(x322,x323,x324)+~E(x321,x322)+~P2(x321,x323,x324)
% 0.18/0.64 [33]P2(x333,x332,x334)+~E(x331,x332)+~P2(x333,x331,x334)
% 0.18/0.64 [34]P2(x343,x344,x342)+~E(x341,x342)+~P2(x343,x344,x341)
% 0.18/0.64
% 0.18/0.64 %-------------------------------------------
% 0.18/0.65 cnf(59,plain,
% 0.18/0.65 ($false),
% 0.18/0.65 inference(scs_inference,[],[35,2,48,47]),
% 0.18/0.65 ['proof']).
% 0.18/0.65 % SZS output end Proof
% 0.18/0.65 % Total time :0.000000s
%------------------------------------------------------------------------------