TSTP Solution File: GEO242+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 22:43:58 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n018.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 20:44:48 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 % File : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.19/0.61 % Domain : Geometry (Constructive)
% 0.19/0.61 % Problem : Lemma on oriented intersection of lines with plane
% 0.19/0.61 % Version : [vPl98] axioms : Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.19/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.19/0.61 % Source : [ILTP]
% 0.19/0.61 % Names : Lemma 5.5.(iv) [vPl98]
% 0.19/0.61
% 0.19/0.61 % Status : Theorem
% 0.19/0.61 % Rating : 0.00 v6.4.0
% 0.19/0.61 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 0.19/0.61 % Number of atoms : 106 ( 0 equ)
% 0.19/0.61 % Maximal formula atoms : 10 ( 3 avg)
% 0.19/0.61 % Number of connectives : 91 ( 17 ~; 24 |; 27 &)
% 0.19/0.61 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 0.19/0.61 % Maximal formula depth : 13 ( 6 avg)
% 0.19/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.62 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 0.19/0.62 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.19/0.62 % Number of variables : 74 ( 74 !; 0 ?)
% 0.19/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.62
% 0.19/0.62 % Comments : Definitions unfolded, hence Especial.
% 0.19/0.62 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 include('Axioms/GEO007+0.ax').
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 fof(con,conjecture,
% 0.19/0.62 ! [A,B,L] :
% 0.19/0.62 ( ( ~ apart_point_and_line(A,L)
% 0.19/0.62 & distinct_points(A,B)
% 0.19/0.62 & left_convergent_lines(L,reverse_line(line_connecting(A,B))) )
% 0.19/0.62 => left_apart_point(B,reverse_line(L)) ) ).
% 0.19/0.62
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:62(EqnAxiom:0)
% 0.19/0.62 %VarNum:269(SingletonVarNum:105)
% 0.19/0.62 %MaxLitNum:10
% 0.19/0.62 %MaxfuncDepth:2
% 0.19/0.62 %SharedTerms:10
% 0.19/0.62 %goalClause: 1 2 3
% 0.19/0.62 %singleGoalClaCount:3
% 0.19/0.62 [1]P1(a1,a2)
% 0.19/0.62 [3]~P2(a1,a3)
% 0.19/0.62 [2]P7(a3,f6(f4(a1,a2)))
% 0.19/0.62 [5]~P10(x51,x51)
% 0.19/0.62 [6]~P1(x61,x61)
% 0.19/0.62 [7]~P3(x71,x71)
% 0.19/0.62 [11]~P3(x111,f6(x111))
% 0.19/0.62 [4]~P8(x41,x42)
% 0.19/0.62 [8]~P7(x81,x82)
% 0.19/0.62 [13]~P2(x131,f7(x132,x131))
% 0.19/0.62 [14]~P10(f7(x141,x142),x141)
% 0.19/0.62 [15]~P10(f4(x151,x152),f6(f4(x152,x151)))
% 0.19/0.62 [16]~P11(x161)+P11(f6(x161))
% 0.19/0.62 [18]~P4(x181,x182)+P10(x181,x182)
% 0.19/0.62 [19]~P4(x191,x192)+P10(x191,f6(x192))
% 0.19/0.62 [33]~P1(x331,x332)+~P2(x332,f4(x331,x332))
% 0.19/0.62 [34]~P1(x341,x342)+~P2(x341,f4(x341,x342))
% 0.19/0.62 [41]P1(x411,x412)+~P5(x413,x411,x412)
% 0.19/0.62 [54]~P5(x541,x542,x543)+~P10(x541,f4(x542,x543))
% 0.19/0.62 [20]~P11(x201)+~P12(x202)+P11(f7(x201,x202))
% 0.19/0.62 [28]~P2(x281,x282)+P8(x281,x282)+P8(x281,f6(x282))
% 0.19/0.62 [30]~P10(x301,x302)+P4(x301,x302)+~P10(x301,f6(x302))
% 0.19/0.62 [49]~P10(x491,x492)+~P10(x491,f6(x492))+~P2(f5(x491,x492),x492)
% 0.19/0.62 [50]~P10(x501,x502)+~P10(x501,f6(x502))+~P2(f5(x501,x502),x501)
% 0.19/0.62 [24]~P10(x243,x241)+P10(x241,x242)+P10(x243,x242)
% 0.19/0.62 [26]~P1(x263,x261)+P1(x261,x262)+P1(x263,x262)
% 0.19/0.62 [27]~P3(x273,x271)+P3(x271,x272)+P3(x273,x272)
% 0.19/0.62 [46]~P9(x462,x461,x463)+P8(x461,x462)+P8(x463,x462)
% 0.19/0.62 [51]P8(x511,x512)+~P9(x512,x513,x511)+P8(x511,f6(x512))
% 0.19/0.62 [52]P8(x521,x522)+~P9(x522,x521,x523)+P8(x521,f6(x522))
% 0.19/0.62 [53]~P9(x532,x533,x531)+P8(x531,f6(x532))+P8(x533,f6(x532))
% 0.19/0.62 [57]~P5(x571,x573,x572)+~P5(x571,x574,x573)+P6(x571,x572,x573,x574)
% 0.19/0.62 [58]~P5(x581,x583,x584)+~P5(x581,x582,x583)+P6(x581,x582,x583,x584)
% 0.19/0.62 [59]~P6(x591,x592,x593,x594)+P5(x591,x592,x593)+P5(x591,x594,x593)
% 0.19/0.62 [60]P5(x601,x603,x602)+P5(x601,x602,x603)+~P6(x601,x604,x602,x603)
% 0.19/0.62 [61]P5(x611,x613,x612)+P5(x611,x612,x613)+~P6(x611,x612,x613,x614)
% 0.19/0.62 [62]~P6(x621,x624,x622,x623)+P5(x621,x622,x623)+P5(x621,x622,x624)
% 0.19/0.62 [22]~P11(x222)+~P11(x221)+P10(x221,x222)+P10(x221,f6(x222))
% 0.19/0.62 [29]~P12(x292)+~P12(x291)+~P1(x291,x292)+P11(f4(x291,x292))
% 0.19/0.62 [37]~P10(x371,x372)+P7(x371,x372)+P7(x371,f6(x372))+~P10(x371,f6(x372))
% 0.19/0.62 [35]~P10(x351,x353)+P10(x351,x352)+~P10(x351,f6(x353))+P10(x353,f6(x352))
% 0.19/0.62 [36]~P10(x363,x361)+P10(x361,x362)+~P10(x363,f6(x361))+P10(x363,f6(x362))
% 0.19/0.62 [39]~P11(x392)+~P11(x391)+~P10(x391,x392)+~P10(x391,f6(x392))+P12(f5(x391,x392))
% 0.19/0.62 [56]P5(x562,x563,x561)+~P1(x563,x561)+P8(x561,x562)+P8(x563,x562)+P8(x561,f6(x562))+P8(x563,f6(x562))+P10(x562,f4(x563,x561))
% 0.19/0.62 [55]P8(x554,x553)+~P1(x554,x551)+~P3(x553,x552)+P8(x551,x552)+P8(x551,x553)+P8(x554,x552)+P8(x551,f6(x552))+P8(x551,f6(x553))+P8(x554,f6(x552))+P8(x554,f6(x553))
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(63,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[8,2]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------