TSTP Solution File: NUN088+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN088+1 : 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 : 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 12:45:29 EDT 2023
% Result : Theorem 0.21s 0.69s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34 % Computer : n015.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sun Aug 27 09:23:09 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 % File :CSE---1.6
% 0.21/0.69 % Problem :theBenchmark
% 0.21/0.69 % Transform :cnf
% 0.21/0.69 % Format :tptp:raw
% 0.21/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.69
% 0.21/0.69 % Result :Theorem 0.060000s
% 0.21/0.69 % Output :CNFRefutation 0.060000s
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 %------------------------------------------------------------------------------
% 0.21/0.69 % File : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 0.21/0.69 % Domain : Number Theory
% 0.21/0.69 % Problem : Robinson arithmetic: 0 != 1
% 0.21/0.69 % Version : Especial.
% 0.21/0.69 % English :
% 0.21/0.69
% 0.21/0.69 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 0.21/0.69 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 0.21/0.69 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 0.21/0.69 % Source : [Lam18]
% 0.21/0.69 % Names : zerounidone [Lam18]
% 0.21/0.69
% 0.21/0.69 % Status : Theorem
% 0.21/0.69 % Rating : 0.00 v7.3.0
% 0.21/0.69 % Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% 0.21/0.69 % Number of atoms : 79 ( 0 equ)
% 0.21/0.69 % Maximal formula atoms : 7 ( 4 avg)
% 0.21/0.69 % Number of connectives : 98 ( 38 ~; 29 |; 31 &)
% 0.21/0.69 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.69 % Maximal formula depth : 13 ( 8 avg)
% 0.21/0.69 % Maximal term depth : 1 ( 1 avg)
% 0.21/0.69 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty)
% 0.21/0.69 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.21/0.69 % Number of variables : 70 ( 50 !; 20 ?)
% 0.21/0.69 % SPC : FOF_THM_RFO_NEQ
% 0.21/0.69
% 0.21/0.69 % Comments : Translated to FOL without equality.
% 0.21/0.69 %------------------------------------------------------------------------------
% 0.21/0.69 include('Axioms/NUM009+0.ax').
% 0.21/0.69 %------------------------------------------------------------------------------
% 0.21/0.69 fof(zerounidone,conjecture,
% 0.21/0.69 ! [Y1] :
% 0.21/0.69 ( ! [Y2] :
% 0.21/0.69 ( ~ id(Y2,Y1)
% 0.21/0.69 | ~ r1(Y2) )
% 0.21/0.69 | ! [Y3] :
% 0.21/0.69 ( ~ r1(Y3)
% 0.21/0.69 | ~ r2(Y3,Y1) ) ) ).
% 0.21/0.69
% 0.21/0.69 %------------------------------------------------------------------------------
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 % Proof found
% 0.21/0.69 % SZS status Theorem for theBenchmark
% 0.21/0.69 % SZS output start Proof
% 0.21/0.69 %ClaNum:46(EqnAxiom:0)
% 0.21/0.69 %VarNum:201(SingletonVarNum:98)
% 0.21/0.69 %MaxLitNum:5
% 0.21/0.69 %MaxfuncDepth:1
% 0.21/0.69 %SharedTerms:8
% 0.21/0.69 %goalClause: 1 2 6 7
% 0.21/0.69 %singleGoalClaCount:4
% 0.21/0.69 [1]P1(a1)
% 0.21/0.69 [2]P1(a15)
% 0.21/0.69 [6]P2(a1,a10)
% 0.21/0.69 [7]P3(a15,a10)
% 0.21/0.69 [8]P2(x81,x81)
% 0.21/0.69 [3]P1(f2(x31))
% 0.21/0.69 [4]P1(f7(x41))
% 0.21/0.69 [5]P1(f9(x51))
% 0.21/0.69 [9]P2(f3(x91),x91)
% 0.21/0.69 [10]P2(f8(x101),f9(x101))
% 0.21/0.69 [16]P4(x161,f2(x161),f3(x161))
% 0.21/0.69 [17]P5(x171,f7(x171),f8(x171))
% 0.21/0.69 [11]P3(x111,f16(x112,x111))
% 0.21/0.69 [12]P3(x121,f4(x122,x121))
% 0.21/0.69 [13]P2(f17(x131,x132),f18(x131,x132))
% 0.21/0.69 [14]P2(f5(x141,x142),f22(x141,x142))
% 0.21/0.69 [15]P3(f23(x151,x152),f18(x151,x152))
% 0.21/0.69 [18]P4(x181,x182,f23(x181,x182))
% 0.21/0.69 [19]P5(x191,x192,f6(x191,x192))
% 0.21/0.69 [20]P4(x201,f16(x201,x202),f17(x201,x202))
% 0.21/0.69 [21]P5(x211,f4(x211,x212),f5(x211,x212))
% 0.21/0.69 [22]P4(f6(x221,x222),x221,f22(x221,x222))
% 0.21/0.69 [23]~P1(x231)+P2(x231,a11)
% 0.21/0.69 [24]P1(x241)+~P2(x241,a11)
% 0.21/0.69 [25]P2(x251,f14(x251))+P1(f12(x251))
% 0.21/0.69 [29]P3(f13(x291),f14(x291))+P1(f12(x291))
% 0.21/0.69 [30]P2(x301,f14(x301))+P2(x301,f12(x301))
% 0.21/0.69 [33]P3(f13(x331),f14(x331))+P2(x331,f12(x331))
% 0.21/0.69 [28]~P2(x282,x281)+P2(x281,x282)
% 0.21/0.69 [31]~P3(x312,x311)+P2(x311,f19(x312))
% 0.21/0.69 [32]P3(x321,x322)+~P2(x322,f19(x321))
% 0.21/0.69 [39]P4(x391,x392,x393)+~P2(x393,f20(x391,x392))
% 0.21/0.69 [40]P5(x401,x402,x403)+~P2(x403,f21(x401,x402))
% 0.21/0.69 [41]~P4(x412,x413,x411)+P2(x411,f20(x412,x413))
% 0.21/0.69 [42]~P5(x422,x423,x421)+P2(x421,f21(x422,x423))
% 0.21/0.69 [26]~P2(x262,x261)+P1(x261)+~P1(x262)
% 0.21/0.69 [27]~P2(x271,x272)+P1(x271)+~P1(x272)
% 0.21/0.69 [34]~P1(x341)+~P2(x341,x342)+~P3(x343,x342)
% 0.21/0.69 [35]~P2(x351,x353)+P2(x351,x352)+~P2(x353,x352)
% 0.21/0.69 [36]~P3(x362,x364)+~P3(x361,x363)+P2(x361,x362)+~P2(x363,x364)
% 0.21/0.69 [37]~P3(x374,x373)+P3(x371,x372)+~P2(x373,x372)+~P2(x374,x371)
% 0.21/0.69 [38]~P3(x384,x383)+P3(x381,x382)+~P2(x382,x383)+~P2(x381,x384)
% 0.21/0.69 [43]~P4(x436,x435,x434)+P4(x431,x432,x433)+~P2(x434,x433)+~P2(x435,x432)+~P2(x436,x431)
% 0.21/0.69 [44]~P4(x446,x445,x444)+P4(x441,x442,x443)+~P2(x443,x444)+~P2(x442,x445)+~P2(x441,x446)
% 0.21/0.69 [45]~P5(x456,x455,x454)+P5(x451,x452,x453)+~P2(x454,x453)+~P2(x455,x452)+~P2(x456,x451)
% 0.21/0.69 [46]~P5(x466,x465,x464)+P5(x461,x462,x463)+~P2(x463,x464)+~P2(x462,x465)+~P2(x461,x466)
% 0.21/0.69 %EqnAxiom
% 0.21/0.70
% 0.21/0.70 %-------------------------------------------
% 0.21/0.70 cnf(48,plain,
% 0.21/0.70 (P2(x481,x481)),
% 0.21/0.70 inference(rename_variables,[],[8])).
% 0.21/0.70 cnf(50,plain,
% 0.21/0.70 (P2(x501,x501)),
% 0.21/0.70 inference(rename_variables,[],[8])).
% 0.21/0.70 cnf(53,plain,
% 0.21/0.70 (P2(x531,x531)),
% 0.21/0.70 inference(rename_variables,[],[8])).
% 0.21/0.70 cnf(56,plain,
% 0.21/0.70 (P2(x561,x561)),
% 0.21/0.70 inference(rename_variables,[],[8])).
% 0.21/0.70 cnf(58,plain,
% 0.21/0.70 (~P3(x581,a1)),
% 0.21/0.70 inference(scs_inference,[],[1,8,48,50,53,56,24,32,40,39,34])).
% 0.21/0.70 cnf(221,plain,
% 0.21/0.70 ($false),
% 0.21/0.70 inference(scs_inference,[],[6,7,9,58,38]),
% 0.21/0.70 ['proof']).
% 0.21/0.70 % SZS output end Proof
% 0.21/0.70 % Total time :0.060000s
%------------------------------------------------------------------------------