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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : GEO256+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n028.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 : Mon Jun 24 06:04:58 EDT 2024

% Result   : Theorem 0.55s 0.62s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEO256+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.03/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Jun 21 08:45:39 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.53/0.57  start to proof:theBenchmark
% 0.55/0.61  %-------------------------------------------
% 0.55/0.61  % File        :CSE---1.7
% 0.55/0.61  % Problem     :theBenchmark
% 0.55/0.61  % Transform   :cnf
% 0.55/0.61  % Format      :tptp:raw
% 0.55/0.61  % Command     :java -jar mcs_scs.jar %d %s
% 0.55/0.61  
% 0.55/0.61  % Result      :Theorem 0.000000s
% 0.55/0.61  % Output      :CNFRefutation 0.000000s
% 0.55/0.61  %-------------------------------------------
% 0.55/0.62  %------------------------------------------------------------------------------
% 0.55/0.62  % File     : GEO256+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.55/0.62  % Domain   : Geometry (Constructive)
% 0.55/0.62  % Problem  : Property of order and betweeness
% 0.55/0.62  % Version  : [vPl98] axioms : Especial.
% 0.55/0.62  % English  :
% 0.55/0.62  
% 0.55/0.62  % Refs     : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.55/0.62  %          : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.55/0.62  % Source   : [ILTP]
% 0.55/0.62  % Names    : Theorem 6.2.ii [vPl98]
% 0.55/0.62  
% 0.55/0.62  % Status   : Theorem
% 0.55/0.62  % Rating   : 0.00 v6.4.0
% 0.55/0.62  % Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
% 0.55/0.62  %            Number of atoms       :  109 (   0 equ)
% 0.55/0.62  %            Maximal formula atoms :   10 (   3 avg)
% 0.55/0.62  %            Number of connectives :   94 (  17   ~;  25   |;  28   &)
% 0.55/0.62  %                                         (   5 <=>;  19  =>;   0  <=;   0 <~>)
% 0.55/0.62  %            Maximal formula depth :   13 (   6 avg)
% 0.55/0.62  %            Maximal term depth    :    3 (   1 avg)
% 0.55/0.62  %            Number of predicates  :   12 (  12 usr;   0 prp; 1-4 aty)
% 0.55/0.62  %            Number of functors    :    4 (   4 usr;   0 con; 1-2 aty)
% 0.55/0.62  %            Number of variables   :   76 (  76   !;   0   ?)
% 0.55/0.62  % SPC      : FOF_THM_RFO_NEQ
% 0.55/0.62  
% 0.55/0.62  % Comments : Definitions unfolded, hence Especial.
% 0.55/0.62  % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.55/0.62  %------------------------------------------------------------------------------
% 0.55/0.62  include('Axioms/GEO007+0.ax').
% 0.55/0.62  %------------------------------------------------------------------------------
% 0.55/0.62  fof(con,conjecture,
% 0.55/0.62      ! [L,A,B,C,D] :
% 0.55/0.62        ( ( distinct_points(A,C)
% 0.55/0.62          & distinct_points(B,C)
% 0.55/0.62          & ~ apart_point_and_line(C,L)
% 0.55/0.62          & left_apart_point(D,L) )
% 0.55/0.62       => ( before_on_line(L,A,B)
% 0.55/0.62         => ( before_on_line(L,A,C)
% 0.55/0.62            | before_on_line(L,C,B) ) ) ) ).
% 0.55/0.62  
% 0.55/0.62  %------------------------------------------------------------------------------
% 0.55/0.62  %-------------------------------------------
% 0.55/0.62  % Proof found
% 0.55/0.62  % SZS status Theorem for theBenchmark
% 0.55/0.62  % SZS output start Proof
% 0.55/0.62  %ClaNum:65(EqnAxiom:0)
% 0.55/0.62  %VarNum:269(SingletonVarNum:105)
% 0.55/0.62  %MaxLitNum:10
% 0.55/0.62  %MaxfuncDepth:2
% 0.55/0.62  %SharedTerms:12
% 0.55/0.62  %goalClause: 1 2 3 4 5 16 17
% 0.55/0.62  %singleGoalClaCount:7
% 0.55/0.62  [1]P1(a1,a2)
% 0.55/0.62  [2]P2(a3,a4)
% 0.55/0.62  [3]P2(a5,a4)
% 0.55/0.62  [4]P3(a2,a3,a5)
% 0.55/0.62  [5]~P4(a4,a2)
% 0.55/0.62  [16]~P3(a2,a3,a4)
% 0.55/0.62  [17]~P3(a2,a4,a5)
% 0.55/0.62  [7]~P9(x71,x71)
% 0.55/0.62  [8]~P2(x81,x81)
% 0.55/0.62  [9]~P5(x91,x91)
% 0.55/0.62  [12]~P5(x121,f6(x121))
% 0.55/0.62  [6]~P1(x61,x62)
% 0.55/0.62  [10]~P10(x101,x102)
% 0.55/0.62  [14]~P4(x141,f7(x142,x141))
% 0.55/0.62  [15]~P9(f7(x151,x152),x151)
% 0.55/0.62  [18]~P9(f8(x181,x182),f6(f8(x182,x181)))
% 0.55/0.62  [19]~P11(x191)+P11(f6(x191))
% 0.55/0.62  [21]~P6(x211,x212)+P9(x211,x212)
% 0.55/0.62  [22]~P6(x221,x222)+P9(x221,f6(x222))
% 0.55/0.62  [36]~P2(x361,x362)+~P4(x362,f8(x361,x362))
% 0.55/0.62  [37]~P2(x371,x372)+~P4(x371,f8(x371,x372))
% 0.55/0.62  [44]P2(x441,x442)+~P3(x443,x441,x442)
% 0.55/0.62  [57]~P3(x571,x572,x573)+~P9(x571,f8(x572,x573))
% 0.55/0.62  [23]~P11(x231)+~P12(x232)+P11(f7(x231,x232))
% 0.55/0.62  [31]~P4(x311,x312)+P1(x311,x312)+P1(x311,f6(x312))
% 0.55/0.62  [33]~P9(x331,x332)+P6(x331,x332)+~P9(x331,f6(x332))
% 0.55/0.62  [52]~P9(x521,x522)+~P9(x521,f6(x522))+~P4(f9(x521,x522),x522)
% 0.55/0.62  [53]~P9(x531,x532)+~P9(x531,f6(x532))+~P4(f9(x531,x532),x531)
% 0.55/0.62  [27]~P9(x273,x271)+P9(x271,x272)+P9(x273,x272)
% 0.55/0.62  [29]~P2(x293,x291)+P2(x291,x292)+P2(x293,x292)
% 0.55/0.62  [30]~P5(x303,x301)+P5(x301,x302)+P5(x303,x302)
% 0.55/0.62  [49]~P8(x492,x491,x493)+P1(x491,x492)+P1(x493,x492)
% 0.55/0.62  [54]P1(x541,x542)+~P8(x542,x543,x541)+P1(x541,f6(x542))
% 0.55/0.62  [55]P1(x551,x552)+~P8(x552,x551,x553)+P1(x551,f6(x552))
% 0.55/0.62  [56]~P8(x562,x563,x561)+P1(x561,f6(x562))+P1(x563,f6(x562))
% 0.55/0.62  [60]~P3(x601,x603,x602)+~P3(x601,x604,x603)+P7(x601,x602,x603,x604)
% 0.55/0.62  [61]~P3(x611,x613,x614)+~P3(x611,x612,x613)+P7(x611,x612,x613,x614)
% 0.55/0.62  [62]~P7(x621,x622,x623,x624)+P3(x621,x622,x623)+P3(x621,x624,x623)
% 0.55/0.62  [63]P3(x631,x633,x632)+P3(x631,x632,x633)+~P7(x631,x634,x632,x633)
% 0.55/0.62  [64]P3(x641,x643,x642)+P3(x641,x642,x643)+~P7(x641,x642,x643,x644)
% 0.55/0.62  [65]~P7(x651,x654,x652,x653)+P3(x651,x652,x653)+P3(x651,x652,x654)
% 0.55/0.62  [25]~P11(x252)+~P11(x251)+P9(x251,x252)+P9(x251,f6(x252))
% 0.55/0.62  [32]~P12(x322)+~P12(x321)+~P2(x321,x322)+P11(f8(x321,x322))
% 0.55/0.62  [40]~P9(x401,x402)+P10(x401,x402)+P10(x401,f6(x402))+~P9(x401,f6(x402))
% 0.55/0.62  [38]~P9(x381,x383)+P9(x381,x382)+~P9(x381,f6(x383))+P9(x383,f6(x382))
% 0.55/0.62  [39]~P9(x393,x391)+P9(x391,x392)+~P9(x393,f6(x391))+P9(x393,f6(x392))
% 0.55/0.62  [42]~P11(x422)+~P11(x421)+~P9(x421,x422)+~P9(x421,f6(x422))+P12(f9(x421,x422))
% 0.55/0.62  [59]P3(x592,x593,x591)+~P2(x593,x591)+P1(x591,x592)+P1(x593,x592)+P1(x591,f6(x592))+P1(x593,f6(x592))+P9(x592,f8(x593,x591))
% 0.55/0.62  [58]P1(x584,x583)+~P2(x584,x581)+~P5(x583,x582)+P1(x581,x582)+P1(x581,x583)+P1(x584,x582)+P1(x581,f6(x582))+P1(x581,f6(x583))+P1(x584,f6(x582))+P1(x584,f6(x583))
% 0.55/0.62  %EqnAxiom
% 0.55/0.62  
% 0.55/0.62  %-------------------------------------------
% 0.55/0.62  cnf(66,plain,
% 0.55/0.62     ($false),
% 0.55/0.62     inference(scs_inference,[],[1,6]),
% 0.55/0.62     ['proof']).
% 0.55/0.62  % SZS output end Proof
% 0.55/0.62  % Total time :0.000000s
%------------------------------------------------------------------------------