%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO263+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 : n028.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 06:05:01 EDT 2024
% Result : Theorem 13.29s 13.41s
% Output : CNFRefutation 13.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO263+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n028.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 : Fri Jun 21 07:39:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.53/0.57 start to proof:theBenchmark
% 13.29/13.40 %-------------------------------------------
% 13.29/13.40 % File :CSE---1.7
% 13.29/13.40 % Problem :theBenchmark
% 13.29/13.40 % Transform :cnf
% 13.29/13.40 % Format :tptp:raw
% 13.29/13.40 % Command :java -jar mcs_scs.jar %d %s
% 13.29/13.40
% 13.29/13.40 % Result :Theorem 12.750000s
% 13.29/13.40 % Output :CNFRefutation 12.750000s
% 13.29/13.40 %-------------------------------------------
% 13.29/13.41 %------------------------------------------------------------------------------
% 13.29/13.41 % File : GEO263+3 : TPTP v8.2.0. Released v4.0.0.
% 13.29/13.41 % Domain : Geometry (Constructive)
% 13.29/13.41 % Problem : Parallel projection preserves or reverses order
% 13.29/13.41 % Version : [vPl98] axioms.
% 13.29/13.41 % English :
% 13.29/13.41
% 13.29/13.41 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 13.29/13.41 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 13.29/13.41 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 13.29/13.41 % Source : [Rat07]
% 13.29/13.41 % Names : Theorem 6.7 [vPl98]
% 13.29/13.41
% 13.29/13.41 % Status : Theorem
% 13.29/13.41 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 13.29/13.41 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 13.29/13.41 % Number of atoms : 114 ( 0 equ)
% 13.29/13.41 % Maximal formula atoms : 10 ( 3 avg)
% 13.29/13.41 % Number of connectives : 89 ( 12 ~; 22 |; 27 &)
% 13.29/13.41 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 13.29/13.41 % Maximal formula depth : 13 ( 5 avg)
% 13.29/13.41 % Maximal term depth : 3 ( 1 avg)
% 13.29/13.41 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 13.29/13.41 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 13.29/13.41 % Number of variables : 87 ( 87 !; 0 ?)
% 13.29/13.41 % SPC : FOF_THM_RFO_NEQ
% 13.29/13.41
% 13.29/13.41 % Comments :
% 13.29/13.41 %------------------------------------------------------------------------------
% 13.29/13.41 include('Axioms/GEO009+0.ax').
% 13.29/13.41 %------------------------------------------------------------------------------
% 13.29/13.41 fof(con,conjecture,
% 13.29/13.41 ! [L,M,N,A,B,C] :
% 13.29/13.41 ( ( between_on_line(L,A,B,C)
% 13.29/13.41 & convergent_lines(L,M)
% 13.29/13.41 & convergent_lines(L,N)
% 13.29/13.41 & convergent_lines(M,N) )
% 13.29/13.41 => between_on_line(M,intersection_point(M,parallel_through_point(N,A)),intersection_point(M,parallel_through_point(N,B)),intersection_point(M,parallel_through_point(N,C))) ) ).
% 13.29/13.41
% 13.29/13.41 %------------------------------------------------------------------------------
% 13.29/13.41 %-------------------------------------------
% 13.29/13.41 % Proof found
% 13.29/13.41 % SZS status Theorem for theBenchmark
% 13.29/13.41 % SZS output start Proof
% 13.29/13.41 %ClaNum:71(EqnAxiom:0)
% 13.29/13.41 %VarNum:311(SingletonVarNum:129)
% 13.29/13.41 %MaxLitNum:10
% 13.29/13.41 %MaxfuncDepth:2
% 13.29/13.41 %SharedTerms:17
% 13.29/13.41 %goalClause: 1 2 3 6 15
% 13.29/13.41 %singleGoalClaCount:5
% 13.29/13.41 [1]P1(a1,a2)
% 13.29/13.41 [2]P1(a1,a3)
% 13.29/13.41 [3]P1(a2,a3)
% 13.29/13.42 [6]P2(a1,a5,a6,a7)
% 13.29/13.42 [15]~P2(a2,f8(a2,f4(a3,a5)),f8(a2,f4(a3,a6)),f8(a2,f4(a3,a7)))
% 13.29/13.42 [4]P5(x41,x41)
% 13.29/13.42 [9]~P6(x91,x91)
% 13.29/13.42 [10]~P7(x101,x101)
% 13.29/13.42 [13]~P7(x131,f10(x131))
% 13.29/13.42 [7]~P9(x71,x72)
% 13.29/13.42 [8]~P12(x81,x82)
% 13.29/13.42 [5]P5(f4(x51,x52),x51)
% 13.29/13.42 [14]~P3(x141,f4(x142,x141))
% 13.29/13.42 [16]~P13(x161)+P13(f10(x161))
% 13.29/13.42 [17]P10(x171,x172)+P14(x171,x172)
% 13.29/13.42 [18]P5(x181,x182)+P15(x181,x182)
% 13.29/13.42 [20]~P1(x201,x202)+P14(x201,x202)
% 13.29/13.42 [21]~P1(x211,x212)+P15(x211,x212)
% 13.29/13.42 [22]~P16(x221,x222)+P3(x221,x222)
% 13.29/13.42 [28]~P10(x281,x282)+~P14(x281,x282)
% 13.29/13.42 [29]~P5(x291,x292)+~P15(x291,x292)
% 13.29/13.42 [19]P15(x191,x192)+P15(x191,f10(x192))
% 13.29/13.42 [24]~P14(x241,x242)+P15(x241,f10(x242))
% 13.29/13.42 [25]~P16(x251,x252)+P9(x251,f10(x252))
% 13.29/13.42 [26]~P18(x261,x262)+P12(x261,f10(x262))
% 13.29/13.42 [30]P14(x301,x302)+~P15(x301,f10(x302))
% 13.29/13.42 [43]~P6(x431,x432)+~P3(x432,f9(x431,x432))
% 13.29/13.42 [44]~P6(x441,x442)+~P3(x441,f9(x441,x442))
% 13.29/13.42 [62]~P6(x621,x622)+P5(f9(x621,x622),f10(f9(x622,x621)))
% 13.29/13.42 [53]P6(x531,x532)+~P4(x533,x531,x532)
% 13.29/13.42 [54]P11(x541,x542)+~P4(x542,x543,x541)
% 13.29/13.42 [55]P11(x551,x552)+~P4(x552,x551,x553)
% 13.29/13.42 [63]~P4(x631,x632,x633)+P5(x631,f9(x632,x633))
% 13.29/13.42 [35]P9(x351,x352)+~P3(x351,x352)+P16(x351,x352)
% 13.29/13.42 [39]~P14(x391,x392)+~P15(x391,x392)+P1(x391,x392)
% 13.29/13.42 [27]~P17(x272)+~P13(x271)+P13(f4(x271,x272))
% 13.29/13.42 [60]~P15(x601,x602)+~P15(x601,f10(x602))+~P3(f8(x601,x602),x602)
% 13.29/13.42 [61]~P15(x611,x612)+~P15(x611,f10(x612))+~P3(f8(x611,x612),x611)
% 13.29/13.42 [33]~P15(x333,x331)+P15(x331,x332)+P15(x333,x332)
% 13.29/13.42 [37]~P6(x373,x371)+P6(x371,x372)+P6(x373,x372)
% 13.29/13.42 [38]~P7(x383,x381)+P7(x381,x382)+P7(x383,x382)
% 13.29/13.42 [56]~P8(x562,x563,x561)+P16(x561,x562)+P16(x563,x562)
% 13.29/13.42 [57]P9(x571,x572)+P16(x571,x572)+~P8(x572,x573,x571)
% 13.29/13.42 [58]P9(x581,x582)+P16(x581,x582)+~P8(x582,x581,x583)
% 13.29/13.42 [59]~P8(x592,x591,x593)+P9(x591,x592)+P9(x593,x592)
% 13.29/13.42 [66]~P4(x661,x663,x662)+~P4(x661,x664,x663)+P2(x661,x662,x663,x664)
% 13.29/13.42 [67]~P4(x671,x673,x674)+~P4(x671,x672,x673)+P2(x671,x672,x673,x674)
% 13.29/13.42 [68]~P2(x681,x682,x683,x684)+P4(x681,x682,x683)+P4(x681,x684,x683)
% 13.29/13.42 [69]P4(x691,x693,x692)+P4(x691,x692,x693)+~P2(x691,x694,x692,x693)
% 13.29/13.42 [70]P4(x701,x703,x702)+P4(x701,x702,x703)+~P2(x701,x702,x703,x704)
% 13.29/13.42 [71]~P2(x711,x714,x712,x713)+P4(x711,x712,x713)+P4(x711,x712,x714)
% 13.29/13.42 [40]~P17(x402)+~P17(x401)+~P6(x401,x402)+P13(f9(x401,x402))
% 13.29/13.42 [47]~P15(x471,x472)+P12(x471,x472)+P12(x471,f10(x472))+~P15(x471,f10(x472))
% 13.29/13.42 [45]~P15(x451,x453)+P15(x451,x452)+~P15(x451,f10(x453))+P15(x453,f10(x452))
% 13.29/13.42 [46]~P15(x463,x461)+P15(x461,x462)+~P15(x463,f10(x461))+P15(x463,f10(x462))
% 13.29/13.42 [49]~P13(x492)+~P13(x491)+~P15(x491,x492)+~P15(x491,f10(x492))+P17(f8(x491,x492))
% 13.29/13.42 [65]~P6(x652,x653)+~P11(x653,x651)+~P11(x652,x651)+P4(x651,x652,x653)+~P5(x651,f9(x652,x653))
% 13.29/13.42 [64]P9(x644,x643)+~P6(x644,x641)+~P7(x643,x642)+P9(x641,x642)+P9(x641,x643)+P9(x644,x642)+P9(x641,f10(x642))+P9(x641,f10(x643))+P9(x644,f10(x642))+P9(x644,f10(x643))
% 13.29/13.42 %EqnAxiom
% 13.29/13.42
% 13.29/13.42 %-------------------------------------------
% 13.29/13.43 cnf(8890,plain,
% 13.29/13.43 (P15(a1,f10(a3))),
% 13.29/13.43 inference(scs_inference,[],[2,20,24])).
% 13.29/13.43 cnf(11474,plain,
% 13.29/13.43 (P12(a1,a3)+~P15(a1,a3)),
% 13.29/13.43 inference(scs_inference,[],[8890,8,60,61,47])).
% 13.29/13.43 cnf(11483,plain,
% 13.29/13.43 ($false),
% 13.29/13.43 inference(scs_inference,[],[2,8,11474,21]),
% 13.29/13.43 ['proof']).
% 13.38/13.44 % SZS output end Proof
% 13.38/13.44 % Total time :12.750000s
%------------------------------------------------------------------------------