TSTP Solution File: GEO240+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GEO240+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n002.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 22:43:57 EDT 2023

% Result   : Theorem 0.20s 0.64s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GEO240+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 21:09:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  % File        :CSE---1.6
% 0.20/0.63  % Problem     :theBenchmark
% 0.20/0.63  % Transform   :cnf
% 0.20/0.63  % Format      :tptp:raw
% 0.20/0.63  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.63  
% 0.20/0.63  % Result      :Theorem 0.000000s
% 0.20/0.63  % Output      :CNFRefutation 0.000000s
% 0.20/0.63  %-------------------------------------------
% 0.20/0.64  %------------------------------------------------------------------------------
% 0.20/0.64  % File     : GEO240+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.20/0.64  % Domain   : Geometry (Constructive)
% 0.20/0.64  % Problem  : Lemma on oriented intersection of lines with plane
% 0.20/0.64  % Version  : [vPl98] axioms : Especial.
% 0.20/0.64  % English  :
% 0.20/0.64  
% 0.20/0.64  % Refs     : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.20/0.64  %          : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.64  % Source   : [ILTP]
% 0.20/0.64  % Names    : Lemma 5.5.(ii) [vPl98]
% 0.20/0.64  
% 0.20/0.64  % Status   : Theorem
% 0.20/0.64  % Rating   : 0.00 v6.4.0
% 0.20/0.64  % Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
% 0.20/0.64  %            Number of atoms       :  105 (   0 equ)
% 0.20/0.64  %            Maximal formula atoms :   10 (   3 avg)
% 0.20/0.64  %            Number of connectives :   90 (  17   ~;  24   |;  26   &)
% 0.20/0.64  %                                         (   5 <=>;  18  =>;   0  <=;   0 <~>)
% 0.20/0.64  %            Maximal formula depth :   13 (   6 avg)
% 0.20/0.64  %            Maximal term depth    :    3 (   1 avg)
% 0.20/0.64  %            Number of predicates  :   12 (  12 usr;   0 prp; 1-4 aty)
% 0.20/0.64  %            Number of functors    :    4 (   4 usr;   0 con; 1-2 aty)
% 0.20/0.64  %            Number of variables   :   74 (  74   !;   0   ?)
% 0.20/0.64  % SPC      : FOF_THM_RFO_NEQ
% 0.20/0.64  
% 0.20/0.64  % Comments : Definitions unfolded, hence Especial.
% 0.20/0.64  % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.20/0.64  %------------------------------------------------------------------------------
% 0.20/0.64  include('Axioms/GEO007+0.ax').
% 0.20/0.64  %------------------------------------------------------------------------------
% 0.20/0.64  fof(con,conjecture,
% 0.20/0.64      ! [A,B,L] :
% 0.20/0.64        ( ( ~ apart_point_and_line(A,L)
% 0.20/0.64          & left_apart_point(B,reverse_line(L)) )
% 0.20/0.64       => left_convergent_lines(L,reverse_line(line_connecting(A,B))) ) ).
% 0.20/0.64  
% 0.20/0.64  %------------------------------------------------------------------------------
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  % Proof found
% 0.20/0.64  % SZS status Theorem for theBenchmark
% 0.20/0.64  % SZS output start Proof
% 0.20/0.64  %ClaNum:61(EqnAxiom:0)
% 0.20/0.64  %VarNum:269(SingletonVarNum:105)
% 0.20/0.64  %MaxLitNum:10
% 0.20/0.64  %MaxfuncDepth:2
% 0.20/0.64  %SharedTerms:9
% 0.20/0.64  %goalClause: 1 2
% 0.20/0.64  %singleGoalClaCount:2
% 0.20/0.64  [2]~P2(a2,a3)
% 0.20/0.64  [1]P1(a1,f4(a3))
% 0.20/0.64  [4]~P9(x41,x41)
% 0.20/0.64  [5]~P3(x51,x51)
% 0.20/0.64  [6]~P4(x61,x61)
% 0.20/0.64  [9]~P4(x91,f4(x91))
% 0.20/0.64  [3]~P1(x31,x32)
% 0.20/0.64  [7]~P10(x71,x72)
% 0.20/0.64  [11]~P2(x111,f5(x112,x111))
% 0.20/0.64  [12]~P9(f5(x121,x122),x121)
% 0.20/0.64  [14]~P9(f6(x141,x142),f4(f6(x142,x141)))
% 0.20/0.64  [15]~P11(x151)+P11(f4(x151))
% 0.20/0.64  [17]~P5(x171,x172)+P9(x171,x172)
% 0.20/0.64  [18]~P5(x181,x182)+P9(x181,f4(x182))
% 0.20/0.64  [32]~P3(x321,x322)+~P2(x322,f6(x321,x322))
% 0.20/0.64  [33]~P3(x331,x332)+~P2(x331,f6(x331,x332))
% 0.20/0.64  [40]P3(x401,x402)+~P6(x403,x401,x402)
% 0.20/0.64  [53]~P6(x531,x532,x533)+~P9(x531,f6(x532,x533))
% 0.20/0.64  [19]~P11(x191)+~P12(x192)+P11(f5(x191,x192))
% 0.20/0.64  [27]~P2(x271,x272)+P1(x271,x272)+P1(x271,f4(x272))
% 0.20/0.64  [29]~P9(x291,x292)+P5(x291,x292)+~P9(x291,f4(x292))
% 0.20/0.64  [48]~P9(x481,x482)+~P9(x481,f4(x482))+~P2(f7(x481,x482),x482)
% 0.20/0.64  [49]~P9(x491,x492)+~P9(x491,f4(x492))+~P2(f7(x491,x492),x491)
% 0.20/0.64  [23]~P9(x233,x231)+P9(x231,x232)+P9(x233,x232)
% 0.20/0.64  [25]~P3(x253,x251)+P3(x251,x252)+P3(x253,x252)
% 0.20/0.64  [26]~P4(x263,x261)+P4(x261,x262)+P4(x263,x262)
% 0.20/0.64  [45]~P8(x452,x451,x453)+P1(x451,x452)+P1(x453,x452)
% 0.20/0.64  [50]P1(x501,x502)+~P8(x502,x503,x501)+P1(x501,f4(x502))
% 0.20/0.64  [51]P1(x511,x512)+~P8(x512,x511,x513)+P1(x511,f4(x512))
% 0.20/0.64  [52]~P8(x522,x523,x521)+P1(x521,f4(x522))+P1(x523,f4(x522))
% 0.20/0.64  [56]~P6(x561,x563,x562)+~P6(x561,x564,x563)+P7(x561,x562,x563,x564)
% 0.20/0.64  [57]~P6(x571,x573,x574)+~P6(x571,x572,x573)+P7(x571,x572,x573,x574)
% 0.20/0.64  [58]~P7(x581,x582,x583,x584)+P6(x581,x582,x583)+P6(x581,x584,x583)
% 0.20/0.64  [59]P6(x591,x593,x592)+P6(x591,x592,x593)+~P7(x591,x594,x592,x593)
% 0.20/0.64  [60]P6(x601,x603,x602)+P6(x601,x602,x603)+~P7(x601,x602,x603,x604)
% 0.20/0.64  [61]~P7(x611,x614,x612,x613)+P6(x611,x612,x613)+P6(x611,x612,x614)
% 0.20/0.64  [21]~P11(x212)+~P11(x211)+P9(x211,x212)+P9(x211,f4(x212))
% 0.20/0.64  [28]~P12(x282)+~P12(x281)+~P3(x281,x282)+P11(f6(x281,x282))
% 0.20/0.64  [36]~P9(x361,x362)+P10(x361,x362)+P10(x361,f4(x362))+~P9(x361,f4(x362))
% 0.20/0.64  [34]~P9(x341,x343)+P9(x341,x342)+~P9(x341,f4(x343))+P9(x343,f4(x342))
% 0.20/0.64  [35]~P9(x353,x351)+P9(x351,x352)+~P9(x353,f4(x351))+P9(x353,f4(x352))
% 0.20/0.64  [38]~P11(x382)+~P11(x381)+~P9(x381,x382)+~P9(x381,f4(x382))+P12(f7(x381,x382))
% 0.20/0.64  [55]P6(x552,x553,x551)+~P3(x553,x551)+P1(x551,x552)+P1(x553,x552)+P1(x551,f4(x552))+P1(x553,f4(x552))+P9(x552,f6(x553,x551))
% 0.20/0.64  [54]P1(x544,x543)+~P3(x544,x541)+~P4(x543,x542)+P1(x541,x542)+P1(x541,x543)+P1(x544,x542)+P1(x541,f4(x542))+P1(x541,f4(x543))+P1(x544,f4(x542))+P1(x544,f4(x543))
% 0.20/0.64  %EqnAxiom
% 0.20/0.64  
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  cnf(62,plain,
% 0.20/0.64     ($false),
% 0.20/0.64     inference(scs_inference,[],[1,3]),
% 0.20/0.64     ['proof']).
% 0.20/0.64  % SZS output end Proof
% 0.20/0.64  % Total time :0.000000s
%------------------------------------------------------------------------------