TSTP Solution File: GEO265+3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n021.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 : Wed Aug 30 22:44:08 EDT 2023

% Result   : Theorem 0.24s 0.68s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16  % Problem    : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.17  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.38  % Computer : n021.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Tue Aug 29 20:16:15 EDT 2023
% 0.17/0.38  % CPUTime    : 
% 0.24/0.61  start to proof:theBenchmark
% 0.24/0.67  %-------------------------------------------
% 0.24/0.67  % File        :CSE---1.6
% 0.24/0.67  % Problem     :theBenchmark
% 0.24/0.67  % Transform   :cnf
% 0.24/0.67  % Format      :tptp:raw
% 0.24/0.67  % Command     :java -jar mcs_scs.jar %d %s
% 0.24/0.67  
% 0.24/0.67  % Result      :Theorem 0.000000s
% 0.24/0.67  % Output      :CNFRefutation 0.000000s
% 0.24/0.67  %-------------------------------------------
% 0.24/0.68  %------------------------------------------------------------------------------
% 0.24/0.68  % File     : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% 0.24/0.68  % Domain   : Geometry (Constructive)
% 0.24/0.68  % Problem  : Equally directed opposite and reversed lines
% 0.24/0.68  % Version  : [vPl98] axioms.
% 0.24/0.68  % English  :
% 0.24/0.68  
% 0.24/0.68  % Refs     : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.24/0.68  %          : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.24/0.68  %          : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.24/0.68  % Source   : [Rat07]
% 0.24/0.68  % Names    : Theorem 3.9 [vPl98]
% 0.24/0.68  
% 0.24/0.68  % Status   : Theorem
% 0.24/0.68  % Rating   : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 0.24/0.68  % Syntax   : Number of formulae    :   37 (   6 unt;   0 def)
% 0.24/0.68  %            Number of atoms       :  111 (   0 equ)
% 0.24/0.68  %            Maximal formula atoms :   10 (   3 avg)
% 0.24/0.68  %            Number of connectives :   86 (  12   ~;  22   |;  24   &)
% 0.24/0.68  %                                         (  10 <=>;  18  =>;   0  <=;   0 <~>)
% 0.24/0.68  %            Maximal formula depth :   13 (   5 avg)
% 0.24/0.68  %            Maximal term depth    :    3 (   1 avg)
% 0.24/0.68  %            Number of predicates  :   18 (  18 usr;   0 prp; 1-4 aty)
% 0.24/0.68  %            Number of functors    :    4 (   4 usr;   0 con; 1-2 aty)
% 0.24/0.68  %            Number of variables   :   83 (  83   !;   0   ?)
% 0.24/0.68  % SPC      : FOF_THM_RFO_NEQ
% 0.24/0.68  
% 0.24/0.68  % Comments :
% 0.24/0.68  %------------------------------------------------------------------------------
% 0.24/0.68  include('Axioms/GEO009+0.ax').
% 0.24/0.68  %------------------------------------------------------------------------------
% 0.24/0.68  fof(con,conjecture,
% 0.24/0.68      ! [L,M] :
% 0.24/0.68        ( equally_directed_lines(L,reverse_line(M))
% 0.24/0.68       => equally_directed_opposite_lines(L,M) ) ).
% 0.24/0.68  
% 0.24/0.68  %------------------------------------------------------------------------------
% 0.24/0.68  %-------------------------------------------
% 0.24/0.68  % Proof found
% 0.24/0.68  % SZS status Theorem for theBenchmark
% 0.24/0.68  % SZS output start Proof
% 0.24/0.68  %ClaNum:68(EqnAxiom:0)
% 0.24/0.68  %VarNum:311(SingletonVarNum:129)
% 0.24/0.68  %MaxLitNum:10
% 0.24/0.68  %MaxfuncDepth:2
% 0.24/0.68  %SharedTerms:5
% 0.24/0.68  %goalClause: 2 4
% 0.24/0.68  %singleGoalClaCount:2
% 0.24/0.68  [4]~P9(a1,a2)
% 0.24/0.68  [2]P1(a1,f3(a2))
% 0.24/0.68  [1]P1(x11,x11)
% 0.24/0.68  [7]~P2(x71,x71)
% 0.24/0.68  [8]~P3(x81,x81)
% 0.24/0.68  [11]~P3(x111,f3(x111))
% 0.24/0.68  [5]~P10(x51,x52)
% 0.24/0.68  [6]~P12(x61,x62)
% 0.24/0.68  [3]P1(f4(x31,x32),x31)
% 0.24/0.68  [12]~P4(x121,f4(x122,x121))
% 0.24/0.68  [13]~P13(x131)+P13(f3(x131))
% 0.24/0.68  [14]P9(x141,x142)+P14(x141,x142)
% 0.24/0.68  [15]P1(x151,x152)+P15(x151,x152)
% 0.24/0.68  [17]~P5(x171,x172)+P14(x171,x172)
% 0.24/0.68  [18]~P5(x181,x182)+P15(x181,x182)
% 0.24/0.68  [19]~P16(x191,x192)+P4(x191,x192)
% 0.24/0.68  [25]~P9(x251,x252)+~P14(x251,x252)
% 0.24/0.68  [26]~P1(x261,x262)+~P15(x261,x262)
% 0.24/0.68  [16]P15(x161,x162)+P15(x161,f3(x162))
% 0.24/0.68  [21]~P14(x211,x212)+P15(x211,f3(x212))
% 0.24/0.68  [22]~P16(x221,x222)+P10(x221,f3(x222))
% 0.24/0.68  [23]~P18(x231,x232)+P12(x231,f3(x232))
% 0.24/0.68  [27]P14(x271,x272)+~P15(x271,f3(x272))
% 0.24/0.68  [40]~P2(x401,x402)+~P4(x402,f5(x401,x402))
% 0.24/0.68  [41]~P2(x411,x412)+~P4(x411,f5(x411,x412))
% 0.24/0.68  [59]~P2(x591,x592)+P1(f5(x591,x592),f3(f5(x592,x591)))
% 0.24/0.68  [50]P2(x501,x502)+~P6(x503,x501,x502)
% 0.24/0.68  [51]P11(x511,x512)+~P6(x512,x513,x511)
% 0.24/0.68  [52]P11(x521,x522)+~P6(x522,x521,x523)
% 0.24/0.68  [60]~P6(x601,x602,x603)+P1(x601,f5(x602,x603))
% 0.24/0.68  [32]P10(x321,x322)+~P4(x321,x322)+P16(x321,x322)
% 0.24/0.68  [36]~P14(x361,x362)+~P15(x361,x362)+P5(x361,x362)
% 0.24/0.68  [24]~P17(x242)+~P13(x241)+P13(f4(x241,x242))
% 0.24/0.68  [57]~P15(x571,x572)+~P15(x571,f3(x572))+~P4(f6(x571,x572),x572)
% 0.24/0.68  [58]~P15(x581,x582)+~P15(x581,f3(x582))+~P4(f6(x581,x582),x581)
% 0.24/0.68  [30]~P15(x303,x301)+P15(x301,x302)+P15(x303,x302)
% 0.24/0.68  [34]~P2(x343,x341)+P2(x341,x342)+P2(x343,x342)
% 0.24/0.68  [35]~P3(x353,x351)+P3(x351,x352)+P3(x353,x352)
% 0.24/0.68  [53]~P8(x532,x533,x531)+P16(x531,x532)+P16(x533,x532)
% 0.24/0.68  [54]P10(x541,x542)+P16(x541,x542)+~P8(x542,x543,x541)
% 0.24/0.68  [55]P10(x551,x552)+P16(x551,x552)+~P8(x552,x551,x553)
% 0.24/0.68  [56]~P8(x562,x561,x563)+P10(x561,x562)+P10(x563,x562)
% 0.24/0.68  [63]~P6(x631,x633,x632)+~P6(x631,x634,x633)+P7(x631,x632,x633,x634)
% 0.24/0.68  [64]~P6(x641,x643,x644)+~P6(x641,x642,x643)+P7(x641,x642,x643,x644)
% 0.24/0.68  [65]~P7(x651,x652,x653,x654)+P6(x651,x652,x653)+P6(x651,x654,x653)
% 0.24/0.68  [66]P6(x661,x663,x662)+P6(x661,x662,x663)+~P7(x661,x664,x662,x663)
% 0.24/0.68  [67]P6(x671,x673,x672)+P6(x671,x672,x673)+~P7(x671,x672,x673,x674)
% 0.24/0.68  [68]~P7(x681,x684,x682,x683)+P6(x681,x682,x683)+P6(x681,x682,x684)
% 0.24/0.68  [37]~P17(x372)+~P17(x371)+~P2(x371,x372)+P13(f5(x371,x372))
% 0.24/0.68  [44]~P15(x441,x442)+P12(x441,x442)+P12(x441,f3(x442))+~P15(x441,f3(x442))
% 0.24/0.68  [42]~P15(x421,x423)+P15(x421,x422)+~P15(x421,f3(x423))+P15(x423,f3(x422))
% 0.24/0.68  [43]~P15(x433,x431)+P15(x431,x432)+~P15(x433,f3(x431))+P15(x433,f3(x432))
% 0.24/0.68  [46]~P13(x462)+~P13(x461)+~P15(x461,x462)+~P15(x461,f3(x462))+P17(f6(x461,x462))
% 0.24/0.68  [62]~P2(x622,x623)+~P11(x623,x621)+~P11(x622,x621)+P6(x621,x622,x623)+~P1(x621,f5(x622,x623))
% 0.24/0.68  [61]P10(x614,x613)+~P2(x614,x611)+~P3(x613,x612)+P10(x611,x612)+P10(x611,x613)+P10(x614,x612)+P10(x611,f3(x612))+P10(x611,f3(x613))+P10(x614,f3(x612))+P10(x614,f3(x613))
% 0.24/0.68  %EqnAxiom
% 0.24/0.68  
% 0.24/0.68  %-------------------------------------------
% 0.24/0.69  cnf(84,plain,
% 0.24/0.69     ($false),
% 0.24/0.69     inference(scs_inference,[],[2,7,5,4,12,50,19,22,68,67,66,26,14,21]),
% 0.24/0.69     ['proof']).
% 0.24/0.69  % SZS output end Proof
% 0.24/0.69  % Total time :0.000000s
%------------------------------------------------------------------------------