TSTP Solution File: GEO261+3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GEO261+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n023.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 22:44:06 EDT 2023

% Result   : Theorem 0.58s 0.63s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO261+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Aug 30 00:23:09 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.20/0.55  start to proof:theBenchmark
% 0.58/0.62  %-------------------------------------------
% 0.58/0.62  % File        :CSE---1.6
% 0.58/0.62  % Problem     :theBenchmark
% 0.58/0.62  % Transform   :cnf
% 0.58/0.62  % Format      :tptp:raw
% 0.58/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.58/0.62  
% 0.58/0.62  % Result      :Theorem 0.010000s
% 0.58/0.62  % Output      :CNFRefutation 0.010000s
% 0.58/0.62  %-------------------------------------------
% 0.58/0.63  %------------------------------------------------------------------------------
% 0.58/0.63  % File     : GEO261+3 : TPTP v8.1.2. Released v4.0.0.
% 0.58/0.63  % Domain   : Geometry (Constructive)
% 0.58/0.63  % Problem  : Lemma for parallel projection preserves or reverses order
% 0.58/0.63  % Version  : [vPl98] axioms.
% 0.58/0.63  % English  :
% 0.58/0.63  
% 0.58/0.63  % Refs     : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.58/0.63  %          : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.58/0.63  %          : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.58/0.63  % Source   : [Rat07]
% 0.58/0.63  % Names    : Lemma 6.5 [vPl98]
% 0.58/0.63  
% 0.58/0.63  % Status   : Theorem
% 0.58/0.63  % Rating   : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.16 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 0.58/0.63  % Syntax   : Number of formulae    :   37 (   6 unt;   0 def)
% 0.58/0.63  %            Number of atoms       :  113 (   0 equ)
% 0.58/0.63  %            Maximal formula atoms :   10 (   3 avg)
% 0.58/0.63  %            Number of connectives :   88 (  12   ~;  22   |;  26   &)
% 0.58/0.63  %                                         (  10 <=>;  18  =>;   0  <=;   0 <~>)
% 0.58/0.63  %            Maximal formula depth :   13 (   5 avg)
% 0.58/0.63  %            Maximal term depth    :    3 (   1 avg)
% 0.58/0.63  %            Number of predicates  :   18 (  18 usr;   0 prp; 1-4 aty)
% 0.58/0.63  %            Number of functors    :    4 (   4 usr;   0 con; 1-2 aty)
% 0.58/0.63  %            Number of variables   :   86 (  86   !;   0   ?)
% 0.58/0.63  % SPC      : FOF_THM_RFO_NEQ
% 0.58/0.63  
% 0.58/0.63  % Comments :
% 0.58/0.63  %------------------------------------------------------------------------------
% 0.58/0.63  include('Axioms/GEO009+0.ax').
% 0.58/0.63  %------------------------------------------------------------------------------
% 0.58/0.63  fof(con,conjecture,
% 0.58/0.63      ! [L,M,A,B,C] :
% 0.58/0.63        ( ( between_on_line(L,A,B,C)
% 0.58/0.63          & convergent_lines(L,M)
% 0.58/0.63          & incident_point_and_line(B,M) )
% 0.58/0.63       => divides_points(M,A,C) ) ).
% 0.58/0.63  
% 0.58/0.63  %------------------------------------------------------------------------------
% 0.58/0.63  %-------------------------------------------
% 0.58/0.63  % Proof found
% 0.58/0.63  % SZS status Theorem for theBenchmark
% 0.58/0.63  % SZS output start Proof
% 0.58/0.63  %ClaNum:70(EqnAxiom:0)
% 0.58/0.63  %VarNum:311(SingletonVarNum:129)
% 0.58/0.63  %MaxLitNum:10
% 0.58/0.63  %MaxfuncDepth:2
% 0.58/0.63  %SharedTerms:9
% 0.58/0.63  %goalClause: 1 2 5 14
% 0.58/0.63  %singleGoalClaCount:4
% 0.58/0.63  [1]P1(a1,a2)
% 0.58/0.63  [2]P5(a3,a2)
% 0.58/0.63  [5]P2(a1,a4,a3,a6)
% 0.58/0.63  [14]~P9(a2,a4,a6)
% 0.58/0.63  [3]P6(x31,x31)
% 0.58/0.63  [8]~P7(x81,x81)
% 0.58/0.63  [9]~P8(x91,x91)
% 0.58/0.63  [12]~P8(x121,f9(x121))
% 0.58/0.63  [6]~P11(x61,x62)
% 0.58/0.63  [7]~P12(x71,x72)
% 0.58/0.63  [4]P6(f5(x41,x42),x41)
% 0.58/0.63  [13]~P3(x131,f5(x132,x131))
% 0.58/0.63  [15]~P13(x151)+P13(f9(x151))
% 0.58/0.63  [16]P10(x161,x162)+P14(x161,x162)
% 0.58/0.63  [17]P6(x171,x172)+P15(x171,x172)
% 0.58/0.63  [19]~P1(x191,x192)+P14(x191,x192)
% 0.58/0.63  [20]~P1(x201,x202)+P15(x201,x202)
% 0.58/0.63  [21]~P16(x211,x212)+P3(x211,x212)
% 0.58/0.63  [27]~P10(x271,x272)+~P14(x271,x272)
% 0.58/0.63  [28]~P6(x281,x282)+~P15(x281,x282)
% 0.58/0.63  [18]P15(x181,x182)+P15(x181,f9(x182))
% 0.58/0.63  [23]~P14(x231,x232)+P15(x231,f9(x232))
% 0.58/0.63  [24]~P16(x241,x242)+P11(x241,f9(x242))
% 0.58/0.63  [25]~P18(x251,x252)+P12(x251,f9(x252))
% 0.58/0.63  [29]P14(x291,x292)+~P15(x291,f9(x292))
% 0.58/0.63  [42]~P7(x421,x422)+~P3(x422,f7(x421,x422))
% 0.58/0.63  [43]~P7(x431,x432)+~P3(x431,f7(x431,x432))
% 0.58/0.63  [61]~P7(x611,x612)+P6(f7(x611,x612),f9(f7(x612,x611)))
% 0.58/0.63  [52]P7(x521,x522)+~P4(x523,x521,x522)
% 0.58/0.63  [53]P5(x531,x532)+~P4(x532,x533,x531)
% 0.58/0.63  [54]P5(x541,x542)+~P4(x542,x541,x543)
% 0.58/0.63  [62]~P4(x621,x622,x623)+P6(x621,f7(x622,x623))
% 0.58/0.63  [34]P11(x341,x342)+~P3(x341,x342)+P16(x341,x342)
% 0.58/0.63  [38]~P14(x381,x382)+~P15(x381,x382)+P1(x381,x382)
% 0.58/0.63  [26]~P17(x262)+~P13(x261)+P13(f5(x261,x262))
% 0.58/0.63  [59]~P15(x591,x592)+~P15(x591,f9(x592))+~P3(f8(x591,x592),x592)
% 0.58/0.63  [60]~P15(x601,x602)+~P15(x601,f9(x602))+~P3(f8(x601,x602),x601)
% 0.58/0.63  [32]~P15(x323,x321)+P15(x321,x322)+P15(x323,x322)
% 0.58/0.63  [36]~P7(x363,x361)+P7(x361,x362)+P7(x363,x362)
% 0.58/0.63  [37]~P8(x373,x371)+P8(x371,x372)+P8(x373,x372)
% 0.58/0.63  [55]~P9(x552,x553,x551)+P16(x551,x552)+P16(x553,x552)
% 0.58/0.63  [56]P11(x561,x562)+P16(x561,x562)+~P9(x562,x563,x561)
% 0.58/0.63  [57]P11(x571,x572)+P16(x571,x572)+~P9(x572,x571,x573)
% 0.58/0.63  [58]~P9(x582,x581,x583)+P11(x581,x582)+P11(x583,x582)
% 0.58/0.63  [65]~P4(x651,x653,x652)+~P4(x651,x654,x653)+P2(x651,x652,x653,x654)
% 0.58/0.63  [66]~P4(x661,x663,x664)+~P4(x661,x662,x663)+P2(x661,x662,x663,x664)
% 0.58/0.63  [67]~P2(x671,x672,x673,x674)+P4(x671,x672,x673)+P4(x671,x674,x673)
% 0.58/0.63  [68]P4(x681,x683,x682)+P4(x681,x682,x683)+~P2(x681,x684,x682,x683)
% 0.58/0.63  [69]P4(x691,x693,x692)+P4(x691,x692,x693)+~P2(x691,x692,x693,x694)
% 0.58/0.63  [70]~P2(x701,x704,x702,x703)+P4(x701,x702,x703)+P4(x701,x702,x704)
% 0.58/0.63  [39]~P17(x392)+~P17(x391)+~P7(x391,x392)+P13(f7(x391,x392))
% 0.58/0.63  [46]~P15(x461,x462)+P12(x461,x462)+P12(x461,f9(x462))+~P15(x461,f9(x462))
% 0.58/0.63  [44]~P15(x441,x443)+P15(x441,x442)+~P15(x441,f9(x443))+P15(x443,f9(x442))
% 0.58/0.63  [45]~P15(x453,x451)+P15(x451,x452)+~P15(x453,f9(x451))+P15(x453,f9(x452))
% 0.58/0.63  [48]~P13(x482)+~P13(x481)+~P15(x481,x482)+~P15(x481,f9(x482))+P17(f8(x481,x482))
% 0.58/0.63  [64]~P7(x642,x643)+~P5(x643,x641)+~P5(x642,x641)+P4(x641,x642,x643)+~P6(x641,f7(x642,x643))
% 0.58/0.63  [63]P11(x634,x633)+~P7(x634,x631)+~P8(x633,x632)+P11(x631,x632)+P11(x631,x633)+P11(x634,x632)+P11(x631,f9(x632))+P11(x631,f9(x633))+P11(x634,f9(x632))+P11(x634,f9(x633))
% 0.58/0.63  %EqnAxiom
% 0.58/0.63  
% 0.58/0.63  %-------------------------------------------
% 0.58/0.63  cnf(74,plain,
% 0.58/0.63     (~P11(x741,x742)),
% 0.58/0.63     inference(rename_variables,[],[6])).
% 0.58/0.63  cnf(96,plain,
% 0.58/0.63     (P12(a1,f9(a2))),
% 0.58/0.63     inference(scs_inference,[],[1,3,8,6,74,7,13,52,21,24,70,69,68,28,20,19,23,18,34,32,46])).
% 0.58/0.63  cnf(113,plain,
% 0.58/0.63     ($false),
% 0.58/0.63     inference(scs_inference,[],[96,7]),
% 0.58/0.63     ['proof']).
% 0.58/0.63  % SZS output end Proof
% 0.58/0.63  % Total time :0.010000s
%------------------------------------------------------------------------------