TSTP Solution File: GEO241+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO241+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 : n017.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 22:43:58 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO241+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n017.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 : Tue Aug 29 20:44:13 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 % File : GEO241+3 : TPTP v8.1.2. Released v4.0.0.
% 0.19/0.62 % Domain : Geometry (Constructive)
% 0.19/0.62 % Problem : Lemma on oriented intersection of lines with plane
% 0.19/0.62 % Version : [vPl98] axioms.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.19/0.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.19/0.62 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.19/0.62 % Source : [Rat07]
% 0.19/0.62 % Names : Lemma 5.5.(iii) [vPl98]
% 0.19/0.62
% 0.19/0.62 % Status : Theorem
% 0.19/0.62 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.09 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 0.19/0.62 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.19/0.62 % Number of atoms : 113 ( 0 equ)
% 0.19/0.62 % Maximal formula atoms : 10 ( 3 avg)
% 0.19/0.62 % Number of connectives : 88 ( 12 ~; 22 |; 26 &)
% 0.19/0.62 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.19/0.62 % Maximal formula depth : 13 ( 5 avg)
% 0.19/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.62 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.19/0.62 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.19/0.62 % Number of variables : 84 ( 84 !; 0 ?)
% 0.19/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.62
% 0.19/0.62 % Comments :
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 include('Axioms/GEO009+0.ax').
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 fof(con,conjecture,
% 0.19/0.62 ! [A,B,L] :
% 0.19/0.62 ( ( incident_point_and_line(A,L)
% 0.19/0.62 & distinct_points(A,B)
% 0.19/0.62 & left_convergent_lines(L,line_connecting(A,B)) )
% 0.19/0.62 => left_apart_point(B,L) ) ).
% 0.19/0.62
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:70(EqnAxiom:0)
% 0.19/0.62 %VarNum:311(SingletonVarNum:129)
% 0.19/0.62 %MaxLitNum:10
% 0.19/0.62 %MaxfuncDepth:2
% 0.19/0.62 %SharedTerms:8
% 0.19/0.62 %goalClause: 1 2 4
% 0.19/0.62 %singleGoalClaCount:3
% 0.19/0.62 [1]P1(a1,a2)
% 0.19/0.62 [2]P7(a1,a3)
% 0.19/0.62 [4]P11(a3,f4(a1,a2))
% 0.19/0.62 [3]P8(x31,x31)
% 0.19/0.62 [9]~P1(x91,x91)
% 0.19/0.62 [10]~P2(x101,x101)
% 0.19/0.62 [13]~P2(x131,f7(x131))
% 0.19/0.62 [7]~P12(x71,x72)
% 0.19/0.62 [8]~P11(x81,x82)
% 0.19/0.62 [5]P8(f6(x51,x52),x51)
% 0.19/0.62 [14]~P3(x141,f6(x142,x141))
% 0.19/0.62 [15]~P13(x151)+P13(f7(x151))
% 0.19/0.62 [16]P10(x161,x162)+P14(x161,x162)
% 0.19/0.62 [17]P8(x171,x172)+P15(x171,x172)
% 0.19/0.62 [19]~P4(x191,x192)+P14(x191,x192)
% 0.19/0.62 [20]~P4(x201,x202)+P15(x201,x202)
% 0.19/0.62 [21]~P16(x211,x212)+P3(x211,x212)
% 0.19/0.62 [27]~P10(x271,x272)+~P14(x271,x272)
% 0.19/0.62 [28]~P8(x281,x282)+~P15(x281,x282)
% 0.19/0.62 [18]P15(x181,x182)+P15(x181,f7(x182))
% 0.19/0.62 [23]~P14(x231,x232)+P15(x231,f7(x232))
% 0.19/0.62 [24]~P16(x241,x242)+P12(x241,f7(x242))
% 0.19/0.62 [25]~P18(x251,x252)+P11(x251,f7(x252))
% 0.19/0.62 [29]P14(x291,x292)+~P15(x291,f7(x292))
% 0.19/0.62 [42]~P1(x421,x422)+~P3(x422,f4(x421,x422))
% 0.19/0.62 [43]~P1(x431,x432)+~P3(x431,f4(x431,x432))
% 0.19/0.62 [61]~P1(x611,x612)+P8(f4(x611,x612),f7(f4(x612,x611)))
% 0.19/0.62 [52]P1(x521,x522)+~P5(x523,x521,x522)
% 0.19/0.62 [53]P7(x531,x532)+~P5(x532,x533,x531)
% 0.19/0.62 [54]P7(x541,x542)+~P5(x542,x541,x543)
% 0.19/0.62 [62]~P5(x621,x622,x623)+P8(x621,f4(x622,x623))
% 0.19/0.62 [34]P12(x341,x342)+~P3(x341,x342)+P16(x341,x342)
% 0.19/0.62 [38]~P14(x381,x382)+~P15(x381,x382)+P4(x381,x382)
% 0.19/0.62 [26]~P17(x262)+~P13(x261)+P13(f6(x261,x262))
% 0.19/0.62 [59]~P15(x591,x592)+~P15(x591,f7(x592))+~P3(f5(x591,x592),x592)
% 0.19/0.62 [60]~P15(x601,x602)+~P15(x601,f7(x602))+~P3(f5(x601,x602),x601)
% 0.19/0.62 [32]~P15(x323,x321)+P15(x321,x322)+P15(x323,x322)
% 0.19/0.62 [36]~P1(x363,x361)+P1(x361,x362)+P1(x363,x362)
% 0.19/0.62 [37]~P2(x373,x371)+P2(x371,x372)+P2(x373,x372)
% 0.19/0.62 [55]~P9(x552,x553,x551)+P16(x551,x552)+P16(x553,x552)
% 0.19/0.62 [56]P12(x561,x562)+P16(x561,x562)+~P9(x562,x563,x561)
% 0.19/0.62 [57]P12(x571,x572)+P16(x571,x572)+~P9(x572,x571,x573)
% 0.19/0.62 [58]~P9(x582,x581,x583)+P12(x581,x582)+P12(x583,x582)
% 0.19/0.62 [65]~P5(x651,x653,x652)+~P5(x651,x654,x653)+P6(x651,x652,x653,x654)
% 0.19/0.62 [66]~P5(x661,x663,x664)+~P5(x661,x662,x663)+P6(x661,x662,x663,x664)
% 0.19/0.62 [67]~P6(x671,x672,x673,x674)+P5(x671,x672,x673)+P5(x671,x674,x673)
% 0.19/0.62 [68]P5(x681,x683,x682)+P5(x681,x682,x683)+~P6(x681,x684,x682,x683)
% 0.19/0.62 [69]P5(x691,x693,x692)+P5(x691,x692,x693)+~P6(x691,x692,x693,x694)
% 0.19/0.62 [70]~P6(x701,x704,x702,x703)+P5(x701,x702,x703)+P5(x701,x702,x704)
% 0.19/0.62 [39]~P17(x392)+~P17(x391)+~P1(x391,x392)+P13(f4(x391,x392))
% 0.19/0.62 [46]~P15(x461,x462)+P11(x461,x462)+P11(x461,f7(x462))+~P15(x461,f7(x462))
% 0.19/0.62 [44]~P15(x441,x443)+P15(x441,x442)+~P15(x441,f7(x443))+P15(x443,f7(x442))
% 0.19/0.62 [45]~P15(x453,x451)+P15(x451,x452)+~P15(x453,f7(x451))+P15(x453,f7(x452))
% 0.19/0.62 [48]~P13(x482)+~P13(x481)+~P15(x481,x482)+~P15(x481,f7(x482))+P17(f5(x481,x482))
% 0.19/0.62 [64]~P1(x642,x643)+~P7(x643,x641)+~P7(x642,x641)+P5(x641,x642,x643)+~P8(x641,f4(x642,x643))
% 0.19/0.62 [63]P12(x634,x633)+~P1(x634,x631)+~P2(x633,x632)+P12(x631,x632)+P12(x631,x633)+P12(x634,x632)+P12(x631,f7(x632))+P12(x631,f7(x633))+P12(x634,f7(x632))+P12(x634,f7(x633))
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(71,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[8,4]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------