TSTP Solution File: GEO236+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO236+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 : n031.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 22:43:56 EDT 2023
% Result : Theorem 0.53s 0.62s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO236+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 23:56:11 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.43/0.56 start to proof:theBenchmark
% 0.53/0.62 %-------------------------------------------
% 0.53/0.62 % File :CSE---1.6
% 0.53/0.62 % Problem :theBenchmark
% 0.53/0.62 % Transform :cnf
% 0.53/0.62 % Format :tptp:raw
% 0.53/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.62
% 0.53/0.62 % Result :Theorem 0.000000s
% 0.53/0.62 % Output :CNFRefutation 0.000000s
% 0.53/0.62 %-------------------------------------------
% 0.53/0.62 %------------------------------------------------------------------------------
% 0.53/0.62 % File : GEO236+3 : TPTP v8.1.2. Released v4.0.0.
% 0.53/0.62 % Domain : Geometry (Constructive)
% 0.53/0.62 % Problem : Left and right apart leads to distinctness of lines
% 0.53/0.62 % Version : [vPl98] axioms.
% 0.53/0.62 % English :
% 0.53/0.62
% 0.53/0.62 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.53/0.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.53/0.62 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.53/0.62 % Source : [Rat07]
% 0.53/0.62 % Names : Therorem 5.2 [vPl98]
% 0.53/0.62
% 0.53/0.62 % Status : Theorem
% 0.53/0.62 % Rating : 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
% 0.53/0.62 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.53/0.62 % Number of atoms : 113 ( 0 equ)
% 0.53/0.62 % Maximal formula atoms : 10 ( 3 avg)
% 0.53/0.62 % Number of connectives : 88 ( 12 ~; 23 |; 25 &)
% 0.53/0.62 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.53/0.62 % Maximal formula depth : 13 ( 5 avg)
% 0.53/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.53/0.62 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.53/0.62 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.53/0.62 % Number of variables : 84 ( 84 !; 0 ?)
% 0.53/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.53/0.62
% 0.53/0.62 % Comments :
% 0.53/0.62 %------------------------------------------------------------------------------
% 0.53/0.62 include('Axioms/GEO009+0.ax').
% 0.53/0.62 %------------------------------------------------------------------------------
% 0.53/0.62 fof(con,conjecture,
% 0.53/0.62 ! [A,L,M] :
% 0.53/0.62 ( ( left_apart_point(A,L)
% 0.53/0.62 & right_apart_point(A,M) )
% 0.53/0.62 => ( unequally_directed_lines(L,M)
% 0.53/0.62 | distinct_lines(L,M) ) ) ).
% 0.53/0.62
% 0.53/0.62 %------------------------------------------------------------------------------
% 0.53/0.62 %-------------------------------------------
% 0.53/0.62 % Proof found
% 0.53/0.62 % SZS status Theorem for theBenchmark
% 0.53/0.62 % SZS output start Proof
% 0.53/0.62 %ClaNum:70(EqnAxiom:0)
% 0.53/0.62 %VarNum:311(SingletonVarNum:129)
% 0.53/0.62 %MaxLitNum:10
% 0.53/0.62 %MaxfuncDepth:2
% 0.53/0.62 %SharedTerms:7
% 0.53/0.62 %goalClause: 1 2 5 6
% 0.53/0.62 %singleGoalClaCount:4
% 0.53/0.62 [1]P1(a1,a2)
% 0.53/0.62 [2]P2(a1,a3)
% 0.53/0.62 [5]~P16(a3,a2)
% 0.53/0.62 [6]~P4(a3,a2)
% 0.53/0.62 [3]P3(x31,x31)
% 0.53/0.62 [9]~P9(x91,x91)
% 0.53/0.62 [10]~P4(x101,x101)
% 0.53/0.62 [13]~P4(x131,f7(x131))
% 0.53/0.62 [7]~P2(x71,x72)
% 0.53/0.62 [8]~P13(x81,x82)
% 0.53/0.62 [4]P3(f4(x41,x42),x41)
% 0.53/0.62 [14]~P5(x141,f4(x142,x141))
% 0.53/0.62 [15]~P14(x151)+P14(f7(x151))
% 0.53/0.62 [16]P11(x161,x162)+P18(x161,x162)
% 0.53/0.62 [17]P3(x171,x172)+P16(x171,x172)
% 0.53/0.62 [19]~P6(x191,x192)+P18(x191,x192)
% 0.53/0.62 [20]~P6(x201,x202)+P16(x201,x202)
% 0.53/0.62 [21]~P1(x211,x212)+P5(x211,x212)
% 0.53/0.62 [27]~P11(x271,x272)+~P18(x271,x272)
% 0.53/0.62 [28]~P3(x281,x282)+~P16(x281,x282)
% 0.53/0.62 [18]P16(x181,x182)+P16(x181,f7(x182))
% 0.53/0.62 [23]~P18(x231,x232)+P16(x231,f7(x232))
% 0.53/0.62 [24]~P1(x241,x242)+P2(x241,f7(x242))
% 0.53/0.62 [25]~P17(x251,x252)+P13(x251,f7(x252))
% 0.53/0.62 [29]P18(x291,x292)+~P16(x291,f7(x292))
% 0.53/0.62 [42]~P9(x421,x422)+~P5(x422,f5(x421,x422))
% 0.53/0.62 [43]~P9(x431,x432)+~P5(x431,f5(x431,x432))
% 0.53/0.62 [61]~P9(x611,x612)+P3(f5(x611,x612),f7(f5(x612,x611)))
% 0.53/0.62 [52]P9(x521,x522)+~P7(x523,x521,x522)
% 0.53/0.62 [53]P12(x531,x532)+~P7(x532,x533,x531)
% 0.53/0.62 [54]P12(x541,x542)+~P7(x542,x541,x543)
% 0.53/0.62 [62]~P7(x621,x622,x623)+P3(x621,f5(x622,x623))
% 0.53/0.62 [34]P2(x341,x342)+~P5(x341,x342)+P1(x341,x342)
% 0.53/0.62 [38]~P18(x381,x382)+~P16(x381,x382)+P6(x381,x382)
% 0.53/0.62 [26]~P15(x262)+~P14(x261)+P14(f4(x261,x262))
% 0.53/0.62 [59]~P16(x591,x592)+~P16(x591,f7(x592))+~P5(f6(x591,x592),x592)
% 0.53/0.62 [60]~P16(x601,x602)+~P16(x601,f7(x602))+~P5(f6(x601,x602),x601)
% 0.53/0.62 [32]~P16(x323,x321)+P16(x321,x322)+P16(x323,x322)
% 0.53/0.62 [36]~P9(x363,x361)+P9(x361,x362)+P9(x363,x362)
% 0.53/0.62 [37]~P4(x373,x371)+P4(x371,x372)+P4(x373,x372)
% 0.53/0.62 [55]~P10(x552,x553,x551)+P1(x551,x552)+P1(x553,x552)
% 0.53/0.62 [56]P2(x561,x562)+P1(x561,x562)+~P10(x562,x563,x561)
% 0.53/0.62 [57]P2(x571,x572)+P1(x571,x572)+~P10(x572,x571,x573)
% 0.53/0.62 [58]~P10(x582,x581,x583)+P2(x581,x582)+P2(x583,x582)
% 0.53/0.63 [65]~P7(x651,x653,x652)+~P7(x651,x654,x653)+P8(x651,x652,x653,x654)
% 0.53/0.63 [66]~P7(x661,x663,x664)+~P7(x661,x662,x663)+P8(x661,x662,x663,x664)
% 0.53/0.63 [67]~P8(x671,x672,x673,x674)+P7(x671,x672,x673)+P7(x671,x674,x673)
% 0.53/0.63 [68]P7(x681,x683,x682)+P7(x681,x682,x683)+~P8(x681,x684,x682,x683)
% 0.53/0.63 [69]P7(x691,x693,x692)+P7(x691,x692,x693)+~P8(x691,x692,x693,x694)
% 0.53/0.63 [70]~P8(x701,x704,x702,x703)+P7(x701,x702,x703)+P7(x701,x702,x704)
% 0.53/0.63 [39]~P15(x392)+~P15(x391)+~P9(x391,x392)+P14(f5(x391,x392))
% 0.53/0.63 [46]~P16(x461,x462)+P13(x461,x462)+P13(x461,f7(x462))+~P16(x461,f7(x462))
% 0.53/0.63 [44]~P16(x441,x443)+P16(x441,x442)+~P16(x441,f7(x443))+P16(x443,f7(x442))
% 0.53/0.63 [45]~P16(x453,x451)+P16(x451,x452)+~P16(x453,f7(x451))+P16(x453,f7(x452))
% 0.53/0.63 [48]~P14(x482)+~P14(x481)+~P16(x481,x482)+~P16(x481,f7(x482))+P15(f6(x481,x482))
% 0.53/0.63 [64]~P9(x642,x643)+~P12(x643,x641)+~P12(x642,x641)+P7(x641,x642,x643)+~P3(x641,f5(x642,x643))
% 0.53/0.63 [63]P2(x634,x633)+~P9(x634,x631)+~P4(x633,x632)+P2(x631,x632)+P2(x631,x633)+P2(x634,x632)+P2(x631,f7(x632))+P2(x631,f7(x633))+P2(x634,f7(x632))+P2(x634,f7(x633))
% 0.53/0.63 %EqnAxiom
% 0.53/0.63
% 0.53/0.63 %-------------------------------------------
% 0.53/0.63 cnf(71,plain,
% 0.53/0.63 ($false),
% 0.53/0.63 inference(scs_inference,[],[7,2]),
% 0.53/0.63 ['proof']).
% 0.53/0.63 % SZS output end Proof
% 0.53/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------