TSTP Solution File: GEO237+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO237+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 : n008.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 0.18s 0.63s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO237+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 : n008.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 23:16:02 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.18/0.63 %-------------------------------------------
% 0.18/0.63 % File :CSE---1.6
% 0.18/0.63 % Problem :theBenchmark
% 0.18/0.63 % Transform :cnf
% 0.18/0.63 % Format :tptp:raw
% 0.18/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.63
% 0.18/0.63 % Result :Theorem 0.010000s
% 0.18/0.63 % Output :CNFRefutation 0.010000s
% 0.18/0.63 %-------------------------------------------
% 0.18/0.63 %------------------------------------------------------------------------------
% 0.18/0.63 % File : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 0.18/0.63 % Domain : Geometry (Constructive)
% 0.18/0.63 % Problem : Axiom of Pasch
% 0.18/0.63 % Version : [vPl98] axioms.
% 0.18/0.63 % English :
% 0.18/0.63
% 0.18/0.63 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.18/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.18/0.63 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.18/0.63 % Source : [Rat07]
% 0.18/0.63 % Names : Therorem 5.3 [vPl98]
% 0.18/0.63
% 0.18/0.63 % Status : Theorem
% 0.18/0.63 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 0.18/0.63 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.18/0.63 % Number of atoms : 113 ( 0 equ)
% 0.18/0.63 % Maximal formula atoms : 10 ( 3 avg)
% 0.18/0.63 % Number of connectives : 88 ( 12 ~; 23 |; 24 &)
% 0.18/0.63 % ( 10 <=>; 19 =>; 0 <=; 0 <~>)
% 0.18/0.63 % Maximal formula depth : 13 ( 5 avg)
% 0.18/0.63 % Maximal term depth : 3 ( 1 avg)
% 0.18/0.63 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.18/0.63 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.18/0.63 % Number of variables : 85 ( 85 !; 0 ?)
% 0.18/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.18/0.63
% 0.18/0.63 % Comments :
% 0.18/0.63 %------------------------------------------------------------------------------
% 0.18/0.63 include('Axioms/GEO009+0.ax').
% 0.18/0.63 %------------------------------------------------------------------------------
% 0.18/0.63 fof(con,conjecture,
% 0.18/0.63 ! [A,B,C,L] :
% 0.18/0.63 ( apart_point_and_line(C,L)
% 0.18/0.63 => ( divides_points(L,A,B)
% 0.18/0.63 => ( divides_points(L,A,C)
% 0.18/0.63 | divides_points(L,B,C) ) ) ) ).
% 0.18/0.63
% 0.18/0.63 %------------------------------------------------------------------------------
% 0.18/0.63 %-------------------------------------------
% 0.18/0.63 % Proof found
% 0.18/0.63 % SZS status Theorem for theBenchmark
% 0.18/0.63 % SZS output start Proof
% 0.18/0.63 %ClaNum:70(EqnAxiom:0)
% 0.18/0.63 %VarNum:311(SingletonVarNum:129)
% 0.18/0.63 %MaxLitNum:10
% 0.18/0.63 %MaxfuncDepth:2
% 0.18/0.63 %SharedTerms:8
% 0.18/0.63 %goalClause: 1 4 13 14
% 0.18/0.63 %singleGoalClaCount:4
% 0.18/0.63 [1]P1(a1,a4)
% 0.18/0.63 [4]P3(a4,a2,a3)
% 0.18/0.63 [13]~P3(a4,a2,a1)
% 0.18/0.63 [14]~P3(a4,a3,a1)
% 0.18/0.63 [2]P2(x21,x21)
% 0.18/0.63 [7]~P4(x71,x71)
% 0.18/0.63 [8]~P5(x81,x81)
% 0.18/0.63 [11]~P5(x111,f8(x111))
% 0.18/0.63 [5]~P9(x51,x52)
% 0.18/0.63 [6]~P12(x61,x62)
% 0.18/0.63 [3]P2(f5(x31,x32),x31)
% 0.18/0.63 [12]~P1(x121,f5(x122,x121))
% 0.18/0.63 [15]~P13(x151)+P13(f8(x151))
% 0.18/0.63 [16]P10(x161,x162)+P14(x161,x162)
% 0.18/0.63 [17]P2(x171,x172)+P15(x171,x172)
% 0.18/0.63 [19]~P6(x191,x192)+P14(x191,x192)
% 0.18/0.63 [20]~P6(x201,x202)+P15(x201,x202)
% 0.18/0.63 [21]~P16(x211,x212)+P1(x211,x212)
% 0.18/0.63 [27]~P10(x271,x272)+~P14(x271,x272)
% 0.18/0.63 [28]~P2(x281,x282)+~P15(x281,x282)
% 0.18/0.63 [18]P15(x181,x182)+P15(x181,f8(x182))
% 0.18/0.63 [23]~P14(x231,x232)+P15(x231,f8(x232))
% 0.18/0.63 [24]~P16(x241,x242)+P9(x241,f8(x242))
% 0.18/0.63 [25]~P18(x251,x252)+P12(x251,f8(x252))
% 0.18/0.63 [29]P14(x291,x292)+~P15(x291,f8(x292))
% 0.18/0.63 [42]~P4(x421,x422)+~P1(x422,f6(x421,x422))
% 0.18/0.63 [43]~P4(x431,x432)+~P1(x431,f6(x431,x432))
% 0.18/0.63 [61]~P4(x611,x612)+P2(f6(x611,x612),f8(f6(x612,x611)))
% 0.18/0.63 [52]P4(x521,x522)+~P7(x523,x521,x522)
% 0.18/0.63 [53]P11(x531,x532)+~P7(x532,x533,x531)
% 0.18/0.63 [54]P11(x541,x542)+~P7(x542,x541,x543)
% 0.18/0.63 [62]~P7(x621,x622,x623)+P2(x621,f6(x622,x623))
% 0.18/0.63 [34]P9(x341,x342)+~P1(x341,x342)+P16(x341,x342)
% 0.18/0.63 [38]~P14(x381,x382)+~P15(x381,x382)+P6(x381,x382)
% 0.18/0.63 [26]~P17(x262)+~P13(x261)+P13(f5(x261,x262))
% 0.18/0.63 [59]~P15(x591,x592)+~P15(x591,f8(x592))+~P1(f7(x591,x592),x592)
% 0.18/0.63 [60]~P15(x601,x602)+~P15(x601,f8(x602))+~P1(f7(x601,x602),x601)
% 0.18/0.63 [32]~P15(x323,x321)+P15(x321,x322)+P15(x323,x322)
% 0.18/0.63 [36]~P4(x363,x361)+P4(x361,x362)+P4(x363,x362)
% 0.18/0.63 [37]~P5(x373,x371)+P5(x371,x372)+P5(x373,x372)
% 0.18/0.63 [55]~P3(x552,x553,x551)+P16(x551,x552)+P16(x553,x552)
% 0.18/0.63 [56]P9(x561,x562)+P16(x561,x562)+~P3(x562,x563,x561)
% 0.18/0.63 [57]P9(x571,x572)+P16(x571,x572)+~P3(x572,x571,x573)
% 0.18/0.63 [58]~P3(x582,x581,x583)+P9(x581,x582)+P9(x583,x582)
% 0.18/0.63 [65]~P7(x651,x653,x652)+~P7(x651,x654,x653)+P8(x651,x652,x653,x654)
% 0.18/0.63 [66]~P7(x661,x663,x664)+~P7(x661,x662,x663)+P8(x661,x662,x663,x664)
% 0.18/0.63 [67]~P8(x671,x672,x673,x674)+P7(x671,x672,x673)+P7(x671,x674,x673)
% 0.18/0.63 [68]P7(x681,x683,x682)+P7(x681,x682,x683)+~P8(x681,x684,x682,x683)
% 0.18/0.63 [69]P7(x691,x693,x692)+P7(x691,x692,x693)+~P8(x691,x692,x693,x694)
% 0.18/0.63 [70]~P8(x701,x704,x702,x703)+P7(x701,x702,x703)+P7(x701,x702,x704)
% 0.18/0.63 [39]~P17(x392)+~P17(x391)+~P4(x391,x392)+P13(f6(x391,x392))
% 0.18/0.63 [46]~P15(x461,x462)+P12(x461,x462)+P12(x461,f8(x462))+~P15(x461,f8(x462))
% 0.18/0.63 [44]~P15(x441,x443)+P15(x441,x442)+~P15(x441,f8(x443))+P15(x443,f8(x442))
% 0.18/0.63 [45]~P15(x453,x451)+P15(x451,x452)+~P15(x453,f8(x451))+P15(x453,f8(x452))
% 0.18/0.63 [48]~P13(x482)+~P13(x481)+~P15(x481,x482)+~P15(x481,f8(x482))+P17(f7(x481,x482))
% 0.18/0.63 [64]~P4(x642,x643)+~P11(x643,x641)+~P11(x642,x641)+P7(x641,x642,x643)+~P2(x641,f6(x642,x643))
% 0.18/0.63 [63]P9(x634,x633)+~P4(x634,x631)+~P5(x633,x632)+P9(x631,x632)+P9(x631,x633)+P9(x634,x632)+P9(x631,f8(x632))+P9(x631,f8(x633))+P9(x634,f8(x632))+P9(x634,f8(x633))
% 0.18/0.63 %EqnAxiom
% 0.18/0.63
% 0.18/0.64 %-------------------------------------------
% 0.18/0.64 cnf(74,plain,
% 0.18/0.64 (~P9(x741,x742)),
% 0.18/0.64 inference(rename_variables,[],[5])).
% 0.18/0.64 cnf(88,plain,
% 0.18/0.64 (P9(a1,a4)),
% 0.18/0.64 inference(scs_inference,[],[1,7,5,74,12,52,21,24,70,69,68,58,57,56,34])).
% 0.18/0.64 cnf(111,plain,
% 0.18/0.64 ($false),
% 0.18/0.64 inference(scs_inference,[],[88,5]),
% 0.18/0.64 ['proof']).
% 0.18/0.64 % SZS output end Proof
% 0.18/0.64 % Total time :0.010000s
%------------------------------------------------------------------------------