TSTP Solution File: NUN069+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN069+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 12:45:22 EDT 2023
% Result : Theorem 0.21s 0.66s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUN069+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
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 10:17:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 0.21/0.65 %-------------------------------------------
% 0.21/0.65 % File :CSE---1.6
% 0.21/0.65 % Problem :theBenchmark
% 0.21/0.65 % Transform :cnf
% 0.21/0.65 % Format :tptp:raw
% 0.21/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.65
% 0.21/0.65 % Result :Theorem 0.000000s
% 0.21/0.65 % Output :CNFRefutation 0.000000s
% 0.21/0.65 %-------------------------------------------
% 0.21/0.66 %------------------------------------------------------------------------------
% 0.21/0.66 % File : NUN069+1 : TPTP v8.1.2. Released v7.3.0.
% 0.21/0.66 % Domain : Number Theory
% 0.21/0.66 % Problem : Robinson arithmetic: 1 = 1
% 0.21/0.66 % Version : Especial.
% 0.21/0.66 % English :
% 0.21/0.66
% 0.21/0.66 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 0.21/0.66 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 0.21/0.66 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 0.21/0.66 % Source : [Lam18]
% 0.21/0.66 % Names : oneidone [Lam18]
% 0.21/0.66
% 0.21/0.66 % Status : Theorem
% 0.21/0.66 % Rating : 0.07 v7.5.0, 0.19 v7.4.0, 0.06 v7.3.0
% 0.21/0.66 % Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% 0.21/0.66 % Number of atoms : 78 ( 0 equ)
% 0.21/0.66 % Maximal formula atoms : 7 ( 4 avg)
% 0.21/0.66 % Number of connectives : 93 ( 34 ~; 26 |; 33 &)
% 0.21/0.66 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.66 % Maximal formula depth : 13 ( 8 avg)
% 0.21/0.66 % Maximal term depth : 1 ( 1 avg)
% 0.21/0.66 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty)
% 0.21/0.66 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.21/0.66 % Number of variables : 69 ( 47 !; 22 ?)
% 0.21/0.66 % SPC : FOF_THM_RFO_NEQ
% 0.21/0.66
% 0.21/0.66 % Comments : Translated to FOL without equality.
% 0.21/0.66 %------------------------------------------------------------------------------
% 0.21/0.66 include('Axioms/NUM009+0.ax').
% 0.21/0.66 %------------------------------------------------------------------------------
% 0.21/0.66 fof(oneidone,conjecture,
% 0.21/0.66 ? [Y1] :
% 0.21/0.66 ( id(Y1,Y1)
% 0.21/0.66 & ? [Y2] :
% 0.21/0.66 ( r1(Y2)
% 0.21/0.66 & r2(Y2,Y1) ) ) ).
% 0.21/0.66
% 0.21/0.66 %------------------------------------------------------------------------------
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 % Proof found
% 0.21/0.66 % SZS status Theorem for theBenchmark
% 0.21/0.66 % SZS output start Proof
% 0.21/0.67 %ClaNum:43(EqnAxiom:0)
% 0.21/0.67 %VarNum:206(SingletonVarNum:100)
% 0.21/0.67 %MaxLitNum:5
% 0.21/0.67 %MaxfuncDepth:1
% 0.21/0.67 %SharedTerms:1
% 0.21/0.67 %goalClause: 30
% 0.21/0.67 [4]P2(x41,x41)
% 0.21/0.67 [1]P1(f1(x11))
% 0.21/0.67 [2]P1(f6(x21))
% 0.21/0.67 [3]P1(f8(x31))
% 0.21/0.67 [5]P2(f2(x51),x51)
% 0.21/0.67 [6]P2(f7(x61),f8(x61))
% 0.21/0.67 [12]P4(x121,f1(x121),f2(x121))
% 0.21/0.67 [13]P5(x131,f6(x131),f7(x131))
% 0.21/0.67 [7]P3(x71,f9(x72,x71))
% 0.21/0.67 [8]P3(x81,f3(x82,x81))
% 0.21/0.67 [9]P2(f10(x91,x92),f11(x91,x92))
% 0.21/0.67 [10]P2(f4(x101,x102),f19(x101,x102))
% 0.21/0.67 [11]P3(f20(x111,x112),f11(x111,x112))
% 0.21/0.67 [14]P4(x141,x142,f20(x141,x142))
% 0.21/0.67 [15]P5(x151,x152,f5(x151,x152))
% 0.21/0.67 [16]P4(x161,f9(x161,x162),f10(x161,x162))
% 0.21/0.67 [17]P5(x171,f3(x171,x172),f4(x171,x172))
% 0.21/0.67 [18]P4(f5(x181,x182),x181,f19(x181,x182))
% 0.21/0.67 [19]~P1(x191)+P2(x191,a12)
% 0.21/0.67 [20]P1(x201)+~P2(x201,a12)
% 0.21/0.67 [21]P2(x211,f15(x211))+P1(f13(x211))
% 0.21/0.67 [25]P3(f14(x251),f15(x251))+P1(f13(x251))
% 0.21/0.67 [26]P2(x261,f15(x261))+P2(x261,f13(x261))
% 0.21/0.67 [29]P3(f14(x291),f15(x291))+P2(x291,f13(x291))
% 0.21/0.67 [24]~P2(x242,x241)+P2(x241,x242)
% 0.21/0.67 [27]~P3(x272,x271)+P2(x271,f16(x272))
% 0.21/0.67 [28]P3(x281,x282)+~P2(x282,f16(x281))
% 0.21/0.67 [36]P4(x361,x362,x363)+~P2(x363,f17(x361,x362))
% 0.21/0.67 [37]P5(x371,x372,x373)+~P2(x373,f18(x371,x372))
% 0.21/0.67 [38]~P4(x382,x383,x381)+P2(x381,f17(x382,x383))
% 0.21/0.67 [39]~P5(x392,x393,x391)+P2(x391,f18(x392,x393))
% 0.21/0.67 [22]~P2(x222,x221)+P1(x221)+~P1(x222)
% 0.21/0.67 [23]~P2(x231,x232)+P1(x231)+~P1(x232)
% 0.21/0.67 [30]~P3(x301,x302)+~P1(x301)+~P2(x302,x302)
% 0.21/0.67 [31]~P1(x311)+~P2(x311,x312)+~P3(x313,x312)
% 0.21/0.67 [32]~P2(x321,x323)+P2(x321,x322)+~P2(x323,x322)
% 0.21/0.67 [33]~P3(x332,x334)+~P3(x331,x333)+P2(x331,x332)+~P2(x333,x334)
% 0.21/0.67 [34]~P3(x344,x343)+P3(x341,x342)+~P2(x343,x342)+~P2(x344,x341)
% 0.21/0.67 [35]~P3(x354,x353)+P3(x351,x352)+~P2(x352,x353)+~P2(x351,x354)
% 0.21/0.67 [40]~P4(x406,x405,x404)+P4(x401,x402,x403)+~P2(x404,x403)+~P2(x405,x402)+~P2(x406,x401)
% 0.21/0.67 [41]~P4(x416,x415,x414)+P4(x411,x412,x413)+~P2(x413,x414)+~P2(x412,x415)+~P2(x411,x416)
% 0.21/0.67 [42]~P5(x426,x425,x424)+P5(x421,x422,x423)+~P2(x424,x423)+~P2(x425,x422)+~P2(x426,x421)
% 0.21/0.67 [43]~P5(x436,x435,x434)+P5(x431,x432,x433)+~P2(x433,x434)+~P2(x432,x435)+~P2(x431,x436)
% 0.21/0.67 %EqnAxiom
% 0.21/0.67
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 cnf(44,plain,
% 0.21/0.67 ($false),
% 0.21/0.67 inference(scs_inference,[],[7,1,4,30]),
% 0.21/0.67 ['proof']).
% 0.21/0.67 % SZS output end Proof
% 0.21/0.67 % Total time :0.000000s
%------------------------------------------------------------------------------