%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO242+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 06:04:52 EDT 2024
% Result : Theorem 0.51s 0.63s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO242+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 09:12:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.51/0.57 start to proof:theBenchmark
% 0.51/0.62 %-------------------------------------------
% 0.51/0.62 % File :CSE---1.7
% 0.51/0.62 % Problem :theBenchmark
% 0.51/0.62 % Transform :cnf
% 0.51/0.62 % Format :tptp:raw
% 0.51/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.62
% 0.51/0.62 % Result :Theorem 0.000000s
% 0.51/0.62 % Output :CNFRefutation 0.000000s
% 0.51/0.62 %-------------------------------------------
% 0.51/0.62 %------------------------------------------------------------------------------
% 0.51/0.62 % File : GEO242+3 : TPTP v8.2.0. Released v4.0.0.
% 0.51/0.62 % Domain : Geometry (Constructive)
% 0.51/0.62 % Problem : Lemma on oriented intersection of lines with plane
% 0.51/0.62 % Version : [vPl98] axioms.
% 0.51/0.62 % English :
% 0.51/0.62
% 0.51/0.62 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.51/0.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.62 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.51/0.62 % Source : [Rat07]
% 0.51/0.62 % Names : Lemma 5.5.(iv) [vPl98]
% 0.51/0.62
% 0.51/0.62 % Status : Theorem
% 0.51/0.62 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 0.51/0.62 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.51/0.62 % Number of atoms : 113 ( 0 equ)
% 0.51/0.62 % Maximal formula atoms : 10 ( 3 avg)
% 0.51/0.62 % Number of connectives : 88 ( 12 ~; 22 |; 26 &)
% 0.51/0.62 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.51/0.62 % Maximal formula depth : 13 ( 5 avg)
% 0.51/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.51/0.62 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.51/0.62 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.51/0.62 % Number of variables : 84 ( 84 !; 0 ?)
% 0.51/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.63
% 0.51/0.63 % Comments :
% 0.51/0.63 %------------------------------------------------------------------------------
% 0.51/0.63 include('Axioms/GEO009+0.ax').
% 0.51/0.63 %------------------------------------------------------------------------------
% 0.51/0.63 fof(con,conjecture,
% 0.51/0.63 ! [A,B,L] :
% 0.51/0.63 ( ( incident_point_and_line(A,L)
% 0.51/0.63 & distinct_points(A,B)
% 0.51/0.63 & right_convergent_lines(L,line_connecting(A,B)) )
% 0.51/0.63 => right_apart_point(B,L) ) ).
% 0.51/0.63
% 0.51/0.63 %------------------------------------------------------------------------------
% 0.51/0.63 %-------------------------------------------
% 0.51/0.63 % Proof found
% 0.51/0.63 % SZS status Theorem for theBenchmark
% 0.51/0.63 % SZS output start Proof
% 0.51/0.63 %ClaNum:70(EqnAxiom:0)
% 0.51/0.63 %VarNum:311(SingletonVarNum:129)
% 0.51/0.63 %MaxLitNum:10
% 0.51/0.63 %MaxfuncDepth:2
% 0.51/0.63 %SharedTerms:8
% 0.51/0.63 %goalClause: 1 2 4 6
% 0.51/0.63 %singleGoalClaCount:4
% 0.51/0.63 [1]P1(a1,a2)
% 0.51/0.63 [2]P7(a1,a3)
% 0.51/0.63 [6]~P12(a2,a3)
% 0.51/0.63 [4]P11(a3,f4(a1,a2))
% 0.51/0.63 [3]P8(x31,x31)
% 0.51/0.63 [9]~P1(x91,x91)
% 0.51/0.63 [10]~P2(x101,x101)
% 0.51/0.63 [13]~P2(x131,f7(x131))
% 0.51/0.63 [7]~P13(x71,x72)
% 0.51/0.63 [8]~P14(x81,x82)
% 0.51/0.63 [5]P8(f6(x51,x52),x51)
% 0.51/0.63 [14]~P3(x141,f6(x142,x141))
% 0.51/0.63 [15]~P15(x151)+P15(f7(x151))
% 0.51/0.63 [16]P10(x161,x162)+P17(x161,x162)
% 0.51/0.63 [17]P8(x171,x172)+P18(x171,x172)
% 0.51/0.63 [19]~P4(x191,x192)+P17(x191,x192)
% 0.51/0.63 [20]~P4(x201,x202)+P18(x201,x202)
% 0.51/0.63 [21]~P12(x211,x212)+P3(x211,x212)
% 0.51/0.63 [27]~P10(x271,x272)+~P17(x271,x272)
% 0.51/0.63 [28]~P8(x281,x282)+~P18(x281,x282)
% 0.51/0.63 [18]P18(x181,x182)+P18(x181,f7(x182))
% 0.51/0.63 [23]~P17(x231,x232)+P18(x231,f7(x232))
% 0.51/0.63 [24]~P12(x241,x242)+P13(x241,f7(x242))
% 0.51/0.63 [25]~P11(x251,x252)+P14(x251,f7(x252))
% 0.51/0.63 [29]P17(x291,x292)+~P18(x291,f7(x292))
% 0.51/0.63 [42]~P1(x421,x422)+~P3(x422,f4(x421,x422))
% 0.51/0.63 [43]~P1(x431,x432)+~P3(x431,f4(x431,x432))
% 0.51/0.63 [61]~P1(x611,x612)+P8(f4(x611,x612),f7(f4(x612,x611)))
% 0.51/0.63 [52]P1(x521,x522)+~P5(x523,x521,x522)
% 0.51/0.63 [53]P7(x531,x532)+~P5(x532,x533,x531)
% 0.51/0.63 [54]P7(x541,x542)+~P5(x542,x541,x543)
% 0.51/0.63 [62]~P5(x621,x622,x623)+P8(x621,f4(x622,x623))
% 0.51/0.63 [34]P13(x341,x342)+~P3(x341,x342)+P12(x341,x342)
% 0.51/0.63 [38]~P17(x381,x382)+~P18(x381,x382)+P4(x381,x382)
% 0.51/0.63 [26]~P16(x262)+~P15(x261)+P15(f6(x261,x262))
% 0.51/0.63 [59]~P18(x591,x592)+~P18(x591,f7(x592))+~P3(f5(x591,x592),x592)
% 0.51/0.63 [60]~P18(x601,x602)+~P18(x601,f7(x602))+~P3(f5(x601,x602),x601)
% 0.51/0.63 [32]~P18(x323,x321)+P18(x321,x322)+P18(x323,x322)
% 0.51/0.63 [36]~P1(x363,x361)+P1(x361,x362)+P1(x363,x362)
% 0.51/0.63 [37]~P2(x373,x371)+P2(x371,x372)+P2(x373,x372)
% 0.51/0.63 [55]~P9(x552,x553,x551)+P12(x551,x552)+P12(x553,x552)
% 0.51/0.63 [56]P13(x561,x562)+P12(x561,x562)+~P9(x562,x563,x561)
% 0.51/0.63 [57]P13(x571,x572)+P12(x571,x572)+~P9(x572,x571,x573)
% 0.51/0.63 [58]~P9(x582,x581,x583)+P13(x581,x582)+P13(x583,x582)
% 0.51/0.63 [65]~P5(x651,x653,x652)+~P5(x651,x654,x653)+P6(x651,x652,x653,x654)
% 0.51/0.63 [66]~P5(x661,x663,x664)+~P5(x661,x662,x663)+P6(x661,x662,x663,x664)
% 0.51/0.63 [67]~P6(x671,x672,x673,x674)+P5(x671,x672,x673)+P5(x671,x674,x673)
% 0.51/0.63 [68]P5(x681,x683,x682)+P5(x681,x682,x683)+~P6(x681,x684,x682,x683)
% 0.51/0.63 [69]P5(x691,x693,x692)+P5(x691,x692,x693)+~P6(x691,x692,x693,x694)
% 0.51/0.63 [70]~P6(x701,x704,x702,x703)+P5(x701,x702,x703)+P5(x701,x702,x704)
% 0.51/0.63 [39]~P16(x392)+~P16(x391)+~P1(x391,x392)+P15(f4(x391,x392))
% 0.51/0.63 [46]~P18(x461,x462)+P14(x461,x462)+P14(x461,f7(x462))+~P18(x461,f7(x462))
% 0.51/0.63 [44]~P18(x441,x443)+P18(x441,x442)+~P18(x441,f7(x443))+P18(x443,f7(x442))
% 0.51/0.63 [45]~P18(x453,x451)+P18(x451,x452)+~P18(x453,f7(x451))+P18(x453,f7(x452))
% 0.51/0.63 [48]~P15(x482)+~P15(x481)+~P18(x481,x482)+~P18(x481,f7(x482))+P16(f5(x481,x482))
% 0.51/0.63 [64]~P1(x642,x643)+~P7(x643,x641)+~P7(x642,x641)+P5(x641,x642,x643)+~P8(x641,f4(x642,x643))
% 0.51/0.63 [63]P13(x634,x633)+~P1(x634,x631)+~P2(x633,x632)+P13(x631,x632)+P13(x631,x633)+P13(x634,x632)+P13(x631,f7(x632))+P13(x631,f7(x633))+P13(x634,f7(x632))+P13(x634,f7(x633))
% 0.51/0.63 %EqnAxiom
% 0.51/0.63
% 0.51/0.63 %-------------------------------------------
% 0.51/0.63 cnf(71,plain,
% 0.51/0.63 ($false),
% 0.51/0.63 inference(scs_inference,[],[4,8,25]),
% 0.51/0.63 ['proof']).
% 0.51/0.63 % SZS output end Proof
% 0.51/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------