%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO261+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 : 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 06:05:00 EDT 2024
% Result : Theorem 4.15s 4.21s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : GEO261+3 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.38 % Computer : n028.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Fri Jun 21 10:40:54 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.60/0.67 start to proof:theBenchmark
% 4.15/4.21 %-------------------------------------------
% 4.15/4.21 % File :CSE---1.7
% 4.15/4.21 % Problem :theBenchmark
% 4.15/4.21 % Transform :cnf
% 4.15/4.21 % Format :tptp:raw
% 4.15/4.21 % Command :java -jar mcs_scs.jar %d %s
% 4.15/4.21
% 4.15/4.21 % Result :Theorem 3.480000s
% 4.15/4.21 % Output :CNFRefutation 3.480000s
% 4.15/4.21 %-------------------------------------------
% 4.15/4.21 %------------------------------------------------------------------------------
% 4.15/4.21 % File : GEO261+3 : TPTP v8.2.0. Released v4.0.0.
% 4.15/4.21 % Domain : Geometry (Constructive)
% 4.15/4.21 % Problem : Lemma for parallel projection preserves or reverses order
% 4.15/4.21 % Version : [vPl98] axioms.
% 4.15/4.21 % English :
% 4.15/4.21
% 4.15/4.21 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 4.15/4.21 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 4.15/4.21 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 4.15/4.21 % Source : [Rat07]
% 4.15/4.21 % Names : Lemma 6.5 [vPl98]
% 4.15/4.21
% 4.15/4.21 % Status : Theorem
% 4.15/4.21 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.16 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 4.15/4.21 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 4.15/4.21 % Number of atoms : 113 ( 0 equ)
% 4.15/4.21 % Maximal formula atoms : 10 ( 3 avg)
% 4.15/4.21 % Number of connectives : 88 ( 12 ~; 22 |; 26 &)
% 4.15/4.21 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 4.15/4.21 % Maximal formula depth : 13 ( 5 avg)
% 4.15/4.21 % Maximal term depth : 3 ( 1 avg)
% 4.15/4.21 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 4.15/4.21 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 4.15/4.21 % Number of variables : 86 ( 86 !; 0 ?)
% 4.15/4.21 % SPC : FOF_THM_RFO_NEQ
% 4.15/4.21
% 4.15/4.21 % Comments :
% 4.15/4.21 %------------------------------------------------------------------------------
% 4.15/4.21 include('Axioms/GEO009+0.ax').
% 4.15/4.21 %------------------------------------------------------------------------------
% 4.15/4.21 fof(con,conjecture,
% 4.15/4.21 ! [L,M,A,B,C] :
% 4.15/4.21 ( ( between_on_line(L,A,B,C)
% 4.15/4.21 & convergent_lines(L,M)
% 4.15/4.21 & incident_point_and_line(B,M) )
% 4.15/4.21 => divides_points(M,A,C) ) ).
% 4.15/4.21
% 4.15/4.21 %------------------------------------------------------------------------------
% 4.15/4.21 %-------------------------------------------
% 4.15/4.21 % Proof found
% 4.15/4.21 % SZS status Theorem for theBenchmark
% 4.15/4.21 % SZS output start Proof
% 4.15/4.22 %ClaNum:70(EqnAxiom:0)
% 4.15/4.22 %VarNum:311(SingletonVarNum:129)
% 4.15/4.22 %MaxLitNum:10
% 4.15/4.22 %MaxfuncDepth:2
% 4.15/4.22 %SharedTerms:9
% 4.15/4.22 %goalClause: 1 2 5 14
% 4.15/4.22 %singleGoalClaCount:4
% 4.15/4.22 [1]P1(a1,a2)
% 4.15/4.22 [2]P5(a3,a2)
% 4.15/4.22 [5]P2(a1,a4,a3,a6)
% 4.15/4.22 [14]~P9(a2,a4,a6)
% 4.15/4.22 [3]P6(x31,x31)
% 4.15/4.22 [8]~P7(x81,x81)
% 4.15/4.22 [9]~P8(x91,x91)
% 4.15/4.22 [12]~P8(x121,f9(x121))
% 4.15/4.22 [6]~P11(x61,x62)
% 4.15/4.22 [7]~P12(x71,x72)
% 4.15/4.22 [4]P6(f5(x41,x42),x41)
% 4.15/4.22 [13]~P3(x131,f5(x132,x131))
% 4.15/4.22 [15]~P13(x151)+P13(f9(x151))
% 4.15/4.22 [16]P10(x161,x162)+P14(x161,x162)
% 4.15/4.22 [17]P6(x171,x172)+P15(x171,x172)
% 4.15/4.22 [19]~P1(x191,x192)+P14(x191,x192)
% 4.15/4.22 [20]~P1(x201,x202)+P15(x201,x202)
% 4.15/4.22 [21]~P16(x211,x212)+P3(x211,x212)
% 4.15/4.22 [27]~P10(x271,x272)+~P14(x271,x272)
% 4.15/4.22 [28]~P6(x281,x282)+~P15(x281,x282)
% 4.15/4.22 [18]P15(x181,x182)+P15(x181,f9(x182))
% 4.15/4.22 [23]~P14(x231,x232)+P15(x231,f9(x232))
% 4.15/4.22 [24]~P16(x241,x242)+P11(x241,f9(x242))
% 4.15/4.22 [25]~P18(x251,x252)+P12(x251,f9(x252))
% 4.15/4.22 [29]P14(x291,x292)+~P15(x291,f9(x292))
% 4.15/4.22 [42]~P7(x421,x422)+~P3(x422,f7(x421,x422))
% 4.15/4.22 [43]~P7(x431,x432)+~P3(x431,f7(x431,x432))
% 4.15/4.22 [61]~P7(x611,x612)+P6(f7(x611,x612),f9(f7(x612,x611)))
% 4.15/4.22 [52]P7(x521,x522)+~P4(x523,x521,x522)
% 4.15/4.22 [53]P5(x531,x532)+~P4(x532,x533,x531)
% 4.15/4.22 [54]P5(x541,x542)+~P4(x542,x541,x543)
% 4.15/4.22 [62]~P4(x621,x622,x623)+P6(x621,f7(x622,x623))
% 4.15/4.22 [34]P11(x341,x342)+~P3(x341,x342)+P16(x341,x342)
% 4.15/4.22 [38]~P14(x381,x382)+~P15(x381,x382)+P1(x381,x382)
% 4.15/4.22 [26]~P17(x262)+~P13(x261)+P13(f5(x261,x262))
% 4.15/4.22 [59]~P15(x591,x592)+~P15(x591,f9(x592))+~P3(f8(x591,x592),x592)
% 4.15/4.22 [60]~P15(x601,x602)+~P15(x601,f9(x602))+~P3(f8(x601,x602),x601)
% 4.15/4.22 [32]~P15(x323,x321)+P15(x321,x322)+P15(x323,x322)
% 4.15/4.22 [36]~P7(x363,x361)+P7(x361,x362)+P7(x363,x362)
% 4.15/4.22 [37]~P8(x373,x371)+P8(x371,x372)+P8(x373,x372)
% 4.15/4.22 [55]~P9(x552,x553,x551)+P16(x551,x552)+P16(x553,x552)
% 4.15/4.22 [56]P11(x561,x562)+P16(x561,x562)+~P9(x562,x563,x561)
% 4.15/4.22 [57]P11(x571,x572)+P16(x571,x572)+~P9(x572,x571,x573)
% 4.15/4.22 [58]~P9(x582,x581,x583)+P11(x581,x582)+P11(x583,x582)
% 4.15/4.22 [65]~P4(x651,x653,x652)+~P4(x651,x654,x653)+P2(x651,x652,x653,x654)
% 4.15/4.22 [66]~P4(x661,x663,x664)+~P4(x661,x662,x663)+P2(x661,x662,x663,x664)
% 4.15/4.22 [67]~P2(x671,x672,x673,x674)+P4(x671,x672,x673)+P4(x671,x674,x673)
% 4.15/4.22 [68]P4(x681,x683,x682)+P4(x681,x682,x683)+~P2(x681,x684,x682,x683)
% 4.15/4.22 [69]P4(x691,x693,x692)+P4(x691,x692,x693)+~P2(x691,x692,x693,x694)
% 4.15/4.22 [70]~P2(x701,x704,x702,x703)+P4(x701,x702,x703)+P4(x701,x702,x704)
% 4.15/4.22 [39]~P17(x392)+~P17(x391)+~P7(x391,x392)+P13(f7(x391,x392))
% 4.15/4.22 [46]~P15(x461,x462)+P12(x461,x462)+P12(x461,f9(x462))+~P15(x461,f9(x462))
% 4.15/4.22 [44]~P15(x441,x443)+P15(x441,x442)+~P15(x441,f9(x443))+P15(x443,f9(x442))
% 4.15/4.22 [45]~P15(x453,x451)+P15(x451,x452)+~P15(x453,f9(x451))+P15(x453,f9(x452))
% 4.15/4.22 [48]~P13(x482)+~P13(x481)+~P15(x481,x482)+~P15(x481,f9(x482))+P17(f8(x481,x482))
% 4.15/4.22 [64]~P7(x642,x643)+~P5(x643,x641)+~P5(x642,x641)+P4(x641,x642,x643)+~P6(x641,f7(x642,x643))
% 4.15/4.22 [63]P11(x634,x633)+~P7(x634,x631)+~P8(x633,x632)+P11(x631,x632)+P11(x631,x633)+P11(x634,x632)+P11(x631,f9(x632))+P11(x631,f9(x633))+P11(x634,f9(x632))+P11(x634,f9(x633))
% 4.15/4.22 %EqnAxiom
% 4.15/4.22
% 4.15/4.22 %-------------------------------------------
% 4.15/4.23 cnf(71,plain,
% 4.15/4.23 (~P4(x711,x712,x712)),
% 4.15/4.23 inference(scs_inference,[],[8,52])).
% 4.15/4.23 cnf(316,plain,
% 4.15/4.23 (P6(x3161,f9(x3162))+P14(x3161,x3162)),
% 4.15/4.23 inference(scs_inference,[],[17,29])).
% 4.15/4.23 cnf(392,plain,
% 4.15/4.23 (~P10(a1,a2)),
% 4.15/4.23 inference(scs_inference,[],[1,19,27])).
% 4.15/4.23 cnf(544,plain,
% 4.15/4.23 (P15(x5441,f9(x5441))),
% 4.15/4.23 inference(scs_inference,[],[3,18,28])).
% 4.15/4.23 cnf(713,plain,
% 4.15/4.23 (P12(x7131,x7131)+~P15(x7131,x7131)),
% 4.15/4.23 inference(scs_inference,[],[544,7,59,46])).
% 4.15/4.23 cnf(772,plain,
% 4.15/4.23 (P15(f9(x7721),x7721)),
% 4.15/4.23 inference(scs_inference,[],[7,713,18])).
% 4.15/4.23 cnf(773,plain,
% 4.15/4.23 (~P6(f9(x7731),x7731)),
% 4.15/4.23 inference(scs_inference,[],[772,28])).
% 4.15/4.23 cnf(786,plain,
% 4.15/4.23 (~P4(f9(f7(x7861,x7862)),x7861,x7862)),
% 4.15/4.23 inference(scs_inference,[],[773,62])).
% 4.15/4.23 cnf(1408,plain,
% 4.15/4.23 (~P2(f9(f7(x14081,x14082)),x14082,x14081,x14082)),
% 4.15/4.23 inference(scs_inference,[],[786,70])).
% 4.15/4.23 cnf(4785,plain,
% 4.15/4.23 (P15(a1,f9(a2))),
% 4.15/4.23 inference(scs_inference,[],[392,16,23])).
% 4.15/4.23 cnf(4798,plain,
% 4.15/4.23 (~P4(x47981,x47982,x47982)),
% 4.15/4.23 inference(rename_variables,[],[71])).
% 4.15/4.23 cnf(4800,plain,
% 4.15/4.23 (P1(a1,f9(a2))+P12(a1,a2)+~P15(a1,a2)+~P4(f9(f7(x48001,x48002)),x48002,x48001)),
% 4.15/4.23 inference(scs_inference,[],[1408,71,4798,4785,7,28,29,38,19,16,316,65,66,70,67,68,69,46])).
% 4.15/4.23 cnf(4805,plain,
% 4.15/4.23 (~P12(x48051,x48052)),
% 4.15/4.23 inference(rename_variables,[],[7])).
% 4.15/4.23 cnf(4806,plain,
% 4.15/4.23 (P12(a1,a2)+~P15(a1,a2)),
% 4.15/4.23 inference(scs_inference,[],[4785,7,4805,59,60,4800,46])).
% 4.15/4.23 cnf(4811,plain,
% 4.15/4.23 ($false),
% 4.15/4.23 inference(scs_inference,[],[1,7,4806,20]),
% 4.15/4.23 ['proof']).
% 4.15/4.23 % SZS output end Proof
% 4.15/4.23 % Total time :3.480000s
%------------------------------------------------------------------------------