TSTP Solution File: GEO252+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO252+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 : 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 : Wed Aug 30 22:44:03 EDT 2023
% Result : Theorem 0.56s 0.67s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO252+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n028.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 00:24:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.56/0.61 start to proof:theBenchmark
% 0.56/0.66 %-------------------------------------------
% 0.56/0.66 % File :CSE---1.6
% 0.56/0.66 % Problem :theBenchmark
% 0.56/0.66 % Transform :cnf
% 0.56/0.66 % Format :tptp:raw
% 0.56/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.66
% 0.56/0.66 % Result :Theorem 0.000000s
% 0.56/0.66 % Output :CNFRefutation 0.000000s
% 0.56/0.66 %-------------------------------------------
% 0.56/0.67 %------------------------------------------------------------------------------
% 0.56/0.67 % File : GEO252+3 : TPTP v8.1.2. Released v4.0.0.
% 0.56/0.67 % Domain : Geometry (Constructive)
% 0.56/0.67 % Problem : Jordan-type result for half planes
% 0.56/0.67 % Version : [vPl98] axioms.
% 0.56/0.67 % English :
% 0.56/0.67
% 0.56/0.67 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.56/0.67 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.56/0.67 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.56/0.67 % Source : [Rat07]
% 0.56/0.67 % Names : Corollary 5.11 [vPl98]
% 0.56/0.67
% 0.56/0.67 % Status : Theorem
% 0.56/0.67 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.13 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 0.56/0.67 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.56/0.67 % Number of atoms : 113 ( 0 equ)
% 0.56/0.67 % Maximal formula atoms : 10 ( 3 avg)
% 0.56/0.67 % Number of connectives : 88 ( 12 ~; 22 |; 26 &)
% 0.56/0.67 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.56/0.67 % Maximal formula depth : 13 ( 5 avg)
% 0.56/0.67 % Maximal term depth : 3 ( 1 avg)
% 0.56/0.67 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.56/0.67 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.56/0.67 % Number of variables : 84 ( 84 !; 0 ?)
% 0.56/0.67 % SPC : FOF_THM_RFO_NEQ
% 0.56/0.67
% 0.56/0.67 % Comments :
% 0.56/0.67 %------------------------------------------------------------------------------
% 0.56/0.67 include('Axioms/GEO009+0.ax').
% 0.56/0.67 %------------------------------------------------------------------------------
% 0.56/0.67 fof(con,conjecture,
% 0.56/0.67 ! [A,B,L] :
% 0.56/0.67 ( ( left_apart_point(A,L)
% 0.56/0.67 & right_apart_point(B,L) )
% 0.56/0.67 => ( distinct_points(A,B)
% 0.56/0.67 & left_convergent_lines(line_connecting(A,B),L) ) ) ).
% 0.56/0.67
% 0.56/0.67 %------------------------------------------------------------------------------
% 0.56/0.67 %-------------------------------------------
% 0.56/0.67 % Proof found
% 0.56/0.67 % SZS status Theorem for theBenchmark
% 0.56/0.67 % SZS output start Proof
% 0.56/0.67 %ClaNum:69(EqnAxiom:0)
% 0.56/0.67 %VarNum:311(SingletonVarNum:129)
% 0.56/0.67 %MaxLitNum:10
% 0.56/0.67 %MaxfuncDepth:2
% 0.56/0.67 %SharedTerms:8
% 0.56/0.67 %goalClause: 1 2
% 0.56/0.67 %singleGoalClaCount:2
% 0.56/0.67 [1]P1(a1,a3)
% 0.56/0.67 [2]P2(a2,a3)
% 0.56/0.67 [3]P3(x31,x31)
% 0.56/0.67 [7]~P4(x71,x71)
% 0.56/0.67 [8]~P5(x81,x81)
% 0.56/0.67 [11]~P5(x111,f7(x111))
% 0.56/0.67 [5]~P2(x51,x52)
% 0.56/0.67 [6]~P13(x61,x62)
% 0.56/0.67 [4]P3(f4(x41,x42),x41)
% 0.56/0.67 [12]~P6(x121,f4(x122,x121))
% 0.56/0.67 [13]~P14(x131)+P14(f7(x131))
% 0.56/0.67 [14]P11(x141,x142)+P16(x141,x142)
% 0.56/0.67 [15]P3(x151,x152)+P17(x151,x152)
% 0.56/0.67 [17]~P7(x171,x172)+P16(x171,x172)
% 0.56/0.67 [18]~P7(x181,x182)+P17(x181,x182)
% 0.56/0.67 [19]~P1(x191,x192)+P6(x191,x192)
% 0.56/0.67 [25]~P11(x251,x252)+~P16(x251,x252)
% 0.56/0.67 [26]~P3(x261,x262)+~P17(x261,x262)
% 0.56/0.67 [16]P17(x161,x162)+P17(x161,f7(x162))
% 0.56/0.67 [21]~P16(x211,x212)+P17(x211,f7(x212))
% 0.56/0.67 [22]~P1(x221,x222)+P2(x221,f7(x222))
% 0.56/0.67 [23]~P18(x231,x232)+P13(x231,f7(x232))
% 0.56/0.67 [27]P16(x271,x272)+~P17(x271,f7(x272))
% 0.56/0.67 [41]~P4(x411,x412)+~P6(x412,f5(x411,x412))
% 0.56/0.67 [42]~P4(x421,x422)+~P6(x421,f5(x421,x422))
% 0.56/0.67 [60]~P4(x601,x602)+P3(f5(x601,x602),f7(f5(x602,x601)))
% 0.56/0.67 [51]P4(x511,x512)+~P8(x513,x511,x512)
% 0.56/0.67 [52]P12(x521,x522)+~P8(x522,x523,x521)
% 0.56/0.67 [53]P12(x531,x532)+~P8(x532,x531,x533)
% 0.56/0.67 [61]~P8(x611,x612,x613)+P3(x611,f5(x612,x613))
% 0.56/0.67 [32]P2(x321,x322)+~P6(x321,x322)+P1(x321,x322)
% 0.56/0.67 [36]~P16(x361,x362)+~P17(x361,x362)+P7(x361,x362)
% 0.56/0.67 [24]~P15(x242)+~P14(x241)+P14(f4(x241,x242))
% 0.56/0.67 [58]~P17(x581,x582)+~P17(x581,f7(x582))+~P6(f6(x581,x582),x582)
% 0.56/0.67 [59]~P17(x591,x592)+~P17(x591,f7(x592))+~P6(f6(x591,x592),x591)
% 0.56/0.67 [30]~P17(x303,x301)+P17(x301,x302)+P17(x303,x302)
% 0.56/0.67 [34]~P4(x343,x341)+P4(x341,x342)+P4(x343,x342)
% 0.56/0.67 [35]~P5(x353,x351)+P5(x351,x352)+P5(x353,x352)
% 0.56/0.67 [54]~P10(x542,x543,x541)+P1(x541,x542)+P1(x543,x542)
% 0.56/0.67 [55]P2(x551,x552)+P1(x551,x552)+~P10(x552,x553,x551)
% 0.56/0.67 [56]P2(x561,x562)+P1(x561,x562)+~P10(x562,x561,x563)
% 0.56/0.67 [57]~P10(x572,x571,x573)+P2(x571,x572)+P2(x573,x572)
% 0.56/0.67 [64]~P8(x641,x643,x642)+~P8(x641,x644,x643)+P9(x641,x642,x643,x644)
% 0.56/0.67 [65]~P8(x651,x653,x654)+~P8(x651,x652,x653)+P9(x651,x652,x653,x654)
% 0.56/0.67 [66]~P9(x661,x662,x663,x664)+P8(x661,x662,x663)+P8(x661,x664,x663)
% 0.56/0.67 [67]P8(x671,x673,x672)+P8(x671,x672,x673)+~P9(x671,x674,x672,x673)
% 0.56/0.67 [68]P8(x681,x683,x682)+P8(x681,x682,x683)+~P9(x681,x682,x683,x684)
% 0.56/0.67 [69]~P9(x691,x694,x692,x693)+P8(x691,x692,x693)+P8(x691,x692,x694)
% 0.56/0.67 [37]~P15(x372)+~P15(x371)+~P4(x371,x372)+P14(f5(x371,x372))
% 0.56/0.67 [45]~P17(x451,x452)+P13(x451,x452)+P13(x451,f7(x452))+~P17(x451,f7(x452))
% 0.56/0.67 [43]~P17(x431,x433)+P17(x431,x432)+~P17(x431,f7(x433))+P17(x433,f7(x432))
% 0.56/0.67 [44]~P17(x443,x441)+P17(x441,x442)+~P17(x443,f7(x441))+P17(x443,f7(x442))
% 0.56/0.67 [47]~P14(x472)+~P14(x471)+~P17(x471,x472)+~P17(x471,f7(x472))+P15(f6(x471,x472))
% 0.56/0.67 [63]~P4(x632,x633)+~P12(x633,x631)+~P12(x632,x631)+P8(x631,x632,x633)+~P3(x631,f5(x632,x633))
% 0.56/0.67 [62]P2(x624,x623)+~P4(x624,x621)+~P5(x623,x622)+P2(x621,x622)+P2(x621,x623)+P2(x624,x622)+P2(x621,f7(x622))+P2(x621,f7(x623))+P2(x624,f7(x622))+P2(x624,f7(x623))
% 0.56/0.67 %EqnAxiom
% 0.56/0.67
% 0.56/0.67 %-------------------------------------------
% 0.56/0.67 cnf(70,plain,
% 0.56/0.67 ($false),
% 0.56/0.67 inference(scs_inference,[],[5,2]),
% 0.56/0.67 ['proof']).
% 0.56/0.67 % SZS output end Proof
% 0.56/0.67 % Total time :0.000000s
%------------------------------------------------------------------------------