%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO257+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 06:04:59 EDT 2024
% Result : Theorem 0.44s 0.63s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO257+3 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n025.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 07:41:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.44/0.58 start to proof:theBenchmark
% 0.44/0.62 %-------------------------------------------
% 0.44/0.62 % File :CSE---1.7
% 0.44/0.62 % Problem :theBenchmark
% 0.44/0.62 % Transform :cnf
% 0.44/0.62 % Format :tptp:raw
% 0.44/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.44/0.62
% 0.44/0.62 % Result :Theorem 0.000000s
% 0.44/0.62 % Output :CNFRefutation 0.000000s
% 0.44/0.62 %-------------------------------------------
% 0.44/0.63 %------------------------------------------------------------------------------
% 0.44/0.63 % File : GEO257+3 : TPTP v8.2.0. Released v4.0.0.
% 0.44/0.63 % Domain : Geometry (Constructive)
% 0.44/0.63 % Problem : Transitivity of order on a line
% 0.44/0.63 % Version : [vPl98] axioms.
% 0.44/0.63 % English :
% 0.44/0.63
% 0.44/0.63 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.44/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.44/0.63 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.44/0.63 % Source : [Rat07]
% 0.44/0.63 % Names : Corollary 6.3 [vPl98]
% 0.44/0.63
% 0.44/0.63 % Status : Theorem
% 0.44/0.63 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 0.44/0.63 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.44/0.63 % Number of atoms : 116 ( 0 equ)
% 0.44/0.63 % Maximal formula atoms : 10 ( 3 avg)
% 0.44/0.63 % Number of connectives : 91 ( 12 ~; 22 |; 28 &)
% 0.44/0.63 % ( 10 <=>; 19 =>; 0 <=; 0 <~>)
% 0.44/0.63 % Maximal formula depth : 13 ( 5 avg)
% 0.44/0.63 % Maximal term depth : 3 ( 1 avg)
% 0.44/0.63 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.44/0.63 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.44/0.63 % Number of variables : 86 ( 86 !; 0 ?)
% 0.44/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.44/0.63
% 0.44/0.63 % Comments :
% 0.44/0.63 %------------------------------------------------------------------------------
% 0.44/0.63 include('Axioms/GEO009+0.ax').
% 0.44/0.63 %------------------------------------------------------------------------------
% 0.44/0.63 fof(con,conjecture,
% 0.44/0.63 ! [L,A,B,C,D] :
% 0.44/0.63 ( ( distinct_points(A,C)
% 0.44/0.63 & distinct_points(B,C)
% 0.44/0.63 & incident_point_and_line(C,L)
% 0.44/0.63 & left_apart_point(D,L) )
% 0.44/0.63 => ( ( before_on_line(L,A,B)
% 0.44/0.63 & before_on_line(L,B,C) )
% 0.44/0.63 => before_on_line(L,A,C) ) ) ).
% 0.44/0.63
% 0.44/0.63 %------------------------------------------------------------------------------
% 0.44/0.63 %-------------------------------------------
% 0.44/0.63 % Proof found
% 0.44/0.63 % SZS status Theorem for theBenchmark
% 0.44/0.63 % SZS output start Proof
% 0.53/0.63 %ClaNum:73(EqnAxiom:0)
% 0.53/0.63 %VarNum:311(SingletonVarNum:129)
% 0.53/0.63 %MaxLitNum:10
% 0.53/0.63 %MaxfuncDepth:2
% 0.53/0.63 %SharedTerms:12
% 0.53/0.63 %goalClause: 1 2 3 4 7 8 17
% 0.53/0.63 %singleGoalClaCount:7
% 0.53/0.64 [1]P1(a1,a2)
% 0.53/0.64 [2]P2(a3,a4)
% 0.53/0.64 [3]P2(a5,a4)
% 0.53/0.64 [4]P8(a4,a2)
% 0.53/0.64 [7]P3(a2,a3,a5)
% 0.53/0.64 [8]P3(a2,a5,a4)
% 0.53/0.64 [17]~P3(a2,a3,a4)
% 0.53/0.64 [5]P9(x51,x51)
% 0.53/0.64 [11]~P2(x111,x111)
% 0.53/0.64 [12]~P5(x121,x121)
% 0.53/0.64 [15]~P5(x151,f9(x151))
% 0.53/0.64 [9]~P1(x91,x92)
% 0.53/0.64 [10]~P12(x101,x102)
% 0.53/0.64 [6]P9(f6(x61,x62),x61)
% 0.53/0.64 [16]~P4(x161,f6(x162,x161))
% 0.53/0.64 [18]~P13(x181)+P13(f9(x181))
% 0.53/0.64 [19]P11(x191,x192)+P14(x191,x192)
% 0.53/0.64 [20]P9(x201,x202)+P15(x201,x202)
% 0.53/0.64 [22]~P6(x221,x222)+P14(x221,x222)
% 0.53/0.64 [23]~P6(x231,x232)+P15(x231,x232)
% 0.53/0.64 [24]~P16(x241,x242)+P4(x241,x242)
% 0.53/0.64 [30]~P11(x301,x302)+~P14(x301,x302)
% 0.53/0.64 [31]~P9(x311,x312)+~P15(x311,x312)
% 0.53/0.64 [21]P15(x211,x212)+P15(x211,f9(x212))
% 0.53/0.64 [26]~P14(x261,x262)+P15(x261,f9(x262))
% 0.53/0.64 [27]~P16(x271,x272)+P1(x271,f9(x272))
% 0.53/0.64 [28]~P18(x281,x282)+P12(x281,f9(x282))
% 0.53/0.64 [32]P14(x321,x322)+~P15(x321,f9(x322))
% 0.53/0.64 [45]~P2(x451,x452)+~P4(x452,f7(x451,x452))
% 0.53/0.64 [46]~P2(x461,x462)+~P4(x461,f7(x461,x462))
% 0.53/0.64 [64]~P2(x641,x642)+P9(f7(x641,x642),f9(f7(x642,x641)))
% 0.53/0.64 [55]P2(x551,x552)+~P3(x553,x551,x552)
% 0.53/0.64 [56]P8(x561,x562)+~P3(x562,x563,x561)
% 0.53/0.64 [57]P8(x571,x572)+~P3(x572,x571,x573)
% 0.53/0.64 [65]~P3(x651,x652,x653)+P9(x651,f7(x652,x653))
% 0.53/0.64 [37]P1(x371,x372)+~P4(x371,x372)+P16(x371,x372)
% 0.53/0.64 [41]~P14(x411,x412)+~P15(x411,x412)+P6(x411,x412)
% 0.53/0.64 [29]~P17(x292)+~P13(x291)+P13(f6(x291,x292))
% 0.53/0.64 [62]~P15(x621,x622)+~P15(x621,f9(x622))+~P4(f8(x621,x622),x622)
% 0.53/0.64 [63]~P15(x631,x632)+~P15(x631,f9(x632))+~P4(f8(x631,x632),x631)
% 0.53/0.64 [35]~P15(x353,x351)+P15(x351,x352)+P15(x353,x352)
% 0.53/0.64 [39]~P2(x393,x391)+P2(x391,x392)+P2(x393,x392)
% 0.53/0.64 [40]~P5(x403,x401)+P5(x401,x402)+P5(x403,x402)
% 0.53/0.64 [58]~P10(x582,x583,x581)+P16(x581,x582)+P16(x583,x582)
% 0.53/0.64 [59]P1(x591,x592)+P16(x591,x592)+~P10(x592,x593,x591)
% 0.53/0.64 [60]P1(x601,x602)+P16(x601,x602)+~P10(x602,x601,x603)
% 0.53/0.64 [61]~P10(x612,x611,x613)+P1(x611,x612)+P1(x613,x612)
% 0.53/0.64 [68]~P3(x681,x683,x682)+~P3(x681,x684,x683)+P7(x681,x682,x683,x684)
% 0.53/0.64 [69]~P3(x691,x693,x694)+~P3(x691,x692,x693)+P7(x691,x692,x693,x694)
% 0.53/0.64 [70]~P7(x701,x702,x703,x704)+P3(x701,x702,x703)+P3(x701,x704,x703)
% 0.53/0.64 [71]P3(x711,x713,x712)+P3(x711,x712,x713)+~P7(x711,x714,x712,x713)
% 0.53/0.64 [72]P3(x721,x723,x722)+P3(x721,x722,x723)+~P7(x721,x722,x723,x724)
% 0.53/0.64 [73]~P7(x731,x734,x732,x733)+P3(x731,x732,x733)+P3(x731,x732,x734)
% 0.53/0.64 [42]~P17(x422)+~P17(x421)+~P2(x421,x422)+P13(f7(x421,x422))
% 0.53/0.64 [49]~P15(x491,x492)+P12(x491,x492)+P12(x491,f9(x492))+~P15(x491,f9(x492))
% 0.53/0.64 [47]~P15(x471,x473)+P15(x471,x472)+~P15(x471,f9(x473))+P15(x473,f9(x472))
% 0.53/0.64 [48]~P15(x483,x481)+P15(x481,x482)+~P15(x483,f9(x481))+P15(x483,f9(x482))
% 0.53/0.64 [51]~P13(x512)+~P13(x511)+~P15(x511,x512)+~P15(x511,f9(x512))+P17(f8(x511,x512))
% 0.53/0.64 [67]~P2(x672,x673)+~P8(x673,x671)+~P8(x672,x671)+P3(x671,x672,x673)+~P9(x671,f7(x672,x673))
% 0.53/0.64 [66]P1(x664,x663)+~P2(x664,x661)+~P5(x663,x662)+P1(x661,x662)+P1(x661,x663)+P1(x664,x662)+P1(x661,f9(x662))+P1(x661,f9(x663))+P1(x664,f9(x662))+P1(x664,f9(x663))
% 0.53/0.64 %EqnAxiom
% 0.53/0.64
% 0.53/0.64 %-------------------------------------------
% 0.53/0.64 cnf(74,plain,
% 0.53/0.64 ($false),
% 0.53/0.64 inference(scs_inference,[],[1,9]),
% 0.53/0.64 ['proof']).
% 0.53/0.64 % SZS output end Proof
% 0.53/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------