TSTP Solution File: GEO237+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:52:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % File :CSE---1.6
% 0.19/0.64 % Problem :theBenchmark
% 0.19/0.64 % Transform :cnf
% 0.19/0.64 % Format :tptp:raw
% 0.19/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.64
% 0.19/0.64 % Result :Theorem 0.010000s
% 0.19/0.64 % Output :CNFRefutation 0.010000s
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 % File : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.19/0.64 % Domain : Geometry (Constructive)
% 0.19/0.64 % Problem : Axiom of Pasch
% 0.19/0.64 % Version : [vPl98] axioms : Especial.
% 0.19/0.64 % English :
% 0.19/0.64
% 0.19/0.64 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.19/0.64 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.19/0.64 % Source : [ILTP]
% 0.19/0.64 % Names : Therorem 5.3 [vPl98]
% 0.19/0.64
% 0.19/0.64 % Status : Theorem
% 0.19/0.64 % Rating : 0.00 v6.4.0
% 0.19/0.64 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 0.19/0.64 % Number of atoms : 106 ( 0 equ)
% 0.19/0.64 % Maximal formula atoms : 10 ( 3 avg)
% 0.19/0.64 % Number of connectives : 90 ( 16 ~; 25 |; 25 &)
% 0.19/0.64 % ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% 0.19/0.64 % Maximal formula depth : 13 ( 6 avg)
% 0.19/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.64 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 0.19/0.64 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.19/0.64 % Number of variables : 75 ( 75 !; 0 ?)
% 0.19/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.64
% 0.19/0.64 % Comments : Definitions unfolded, hence Especial.
% 0.19/0.64 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 include('Axioms/GEO007+0.ax').
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 fof(con,conjecture,
% 0.19/0.64 ! [A,B,C,L] :
% 0.19/0.64 ( apart_point_and_line(C,L)
% 0.19/0.64 => ( divides_points(L,A,B)
% 0.19/0.64 => ( divides_points(L,A,C)
% 0.19/0.64 | divides_points(L,B,C) ) ) ) ).
% 0.19/0.64
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64 % SZS output start Proof
% 0.19/0.64 %ClaNum:62(EqnAxiom:0)
% 0.19/0.64 %VarNum:269(SingletonVarNum:105)
% 0.19/0.64 %MaxLitNum:10
% 0.19/0.64 %MaxfuncDepth:2
% 0.19/0.64 %SharedTerms:8
% 0.19/0.64 %goalClause: 1 2 13 14
% 0.19/0.64 %singleGoalClaCount:4
% 0.19/0.64 [1]P1(a1,a4)
% 0.19/0.64 [2]P2(a4,a2,a3)
% 0.19/0.64 [13]~P2(a4,a2,a1)
% 0.19/0.64 [14]~P2(a4,a3,a1)
% 0.19/0.64 [4]~P9(x41,x41)
% 0.19/0.64 [5]~P3(x51,x51)
% 0.19/0.64 [6]~P4(x61,x61)
% 0.19/0.64 [9]~P4(x91,f5(x91))
% 0.19/0.64 [3]~P8(x31,x32)
% 0.19/0.64 [7]~P10(x71,x72)
% 0.19/0.64 [11]~P1(x111,f6(x112,x111))
% 0.19/0.64 [12]~P9(f6(x121,x122),x121)
% 0.19/0.64 [15]~P9(f7(x151,x152),f5(f7(x152,x151)))
% 0.19/0.64 [16]~P11(x161)+P11(f5(x161))
% 0.19/0.64 [18]~P5(x181,x182)+P9(x181,x182)
% 0.19/0.64 [19]~P5(x191,x192)+P9(x191,f5(x192))
% 0.19/0.64 [33]~P3(x331,x332)+~P1(x332,f7(x331,x332))
% 0.19/0.64 [34]~P3(x341,x342)+~P1(x341,f7(x341,x342))
% 0.19/0.64 [41]P3(x411,x412)+~P6(x413,x411,x412)
% 0.19/0.64 [54]~P6(x541,x542,x543)+~P9(x541,f7(x542,x543))
% 0.19/0.64 [20]~P11(x201)+~P12(x202)+P11(f6(x201,x202))
% 0.19/0.64 [28]~P1(x281,x282)+P8(x281,x282)+P8(x281,f5(x282))
% 0.19/0.64 [30]~P9(x301,x302)+P5(x301,x302)+~P9(x301,f5(x302))
% 0.19/0.64 [49]~P9(x491,x492)+~P9(x491,f5(x492))+~P1(f8(x491,x492),x492)
% 0.19/0.64 [50]~P9(x501,x502)+~P9(x501,f5(x502))+~P1(f8(x501,x502),x501)
% 0.19/0.64 [24]~P9(x243,x241)+P9(x241,x242)+P9(x243,x242)
% 0.19/0.64 [26]~P3(x263,x261)+P3(x261,x262)+P3(x263,x262)
% 0.19/0.64 [27]~P4(x273,x271)+P4(x271,x272)+P4(x273,x272)
% 0.19/0.64 [46]~P2(x462,x461,x463)+P8(x461,x462)+P8(x463,x462)
% 0.19/0.65 [51]P8(x511,x512)+~P2(x512,x513,x511)+P8(x511,f5(x512))
% 0.19/0.65 [52]P8(x521,x522)+~P2(x522,x521,x523)+P8(x521,f5(x522))
% 0.19/0.65 [53]~P2(x532,x533,x531)+P8(x531,f5(x532))+P8(x533,f5(x532))
% 0.19/0.65 [57]~P6(x571,x573,x572)+~P6(x571,x574,x573)+P7(x571,x572,x573,x574)
% 0.19/0.65 [58]~P6(x581,x583,x584)+~P6(x581,x582,x583)+P7(x581,x582,x583,x584)
% 0.19/0.65 [59]~P7(x591,x592,x593,x594)+P6(x591,x592,x593)+P6(x591,x594,x593)
% 0.19/0.65 [60]P6(x601,x603,x602)+P6(x601,x602,x603)+~P7(x601,x604,x602,x603)
% 0.19/0.65 [61]P6(x611,x613,x612)+P6(x611,x612,x613)+~P7(x611,x612,x613,x614)
% 0.19/0.65 [62]~P7(x621,x624,x622,x623)+P6(x621,x622,x623)+P6(x621,x622,x624)
% 0.19/0.65 [22]~P11(x222)+~P11(x221)+P9(x221,x222)+P9(x221,f5(x222))
% 0.19/0.65 [29]~P12(x292)+~P12(x291)+~P3(x291,x292)+P11(f7(x291,x292))
% 0.19/0.65 [37]~P9(x371,x372)+P10(x371,x372)+P10(x371,f5(x372))+~P9(x371,f5(x372))
% 0.19/0.65 [35]~P9(x351,x353)+P9(x351,x352)+~P9(x351,f5(x353))+P9(x353,f5(x352))
% 0.19/0.65 [36]~P9(x363,x361)+P9(x361,x362)+~P9(x363,f5(x361))+P9(x363,f5(x362))
% 0.19/0.65 [39]~P11(x392)+~P11(x391)+~P9(x391,x392)+~P9(x391,f5(x392))+P12(f8(x391,x392))
% 0.19/0.65 [56]P6(x562,x563,x561)+~P3(x563,x561)+P8(x561,x562)+P8(x563,x562)+P8(x561,f5(x562))+P8(x563,f5(x562))+P9(x562,f7(x563,x561))
% 0.19/0.65 [55]P8(x554,x553)+~P3(x554,x551)+~P4(x553,x552)+P8(x551,x552)+P8(x551,x553)+P8(x554,x552)+P8(x551,f5(x552))+P8(x551,f5(x553))+P8(x554,f5(x552))+P8(x554,f5(x553))
% 0.19/0.65 %EqnAxiom
% 0.19/0.65
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 cnf(66,plain,
% 0.19/0.65 (~P9(x661,x661)),
% 0.19/0.65 inference(rename_variables,[],[4])).
% 0.19/0.65 cnf(77,plain,
% 0.19/0.65 (~P8(x771,x772)),
% 0.19/0.65 inference(rename_variables,[],[3])).
% 0.19/0.65 cnf(80,plain,
% 0.19/0.65 (~P8(x801,x802)),
% 0.19/0.65 inference(rename_variables,[],[3])).
% 0.19/0.65 cnf(83,plain,
% 0.19/0.65 (~P8(x831,x832)),
% 0.19/0.65 inference(rename_variables,[],[3])).
% 0.19/0.65 cnf(87,plain,
% 0.19/0.65 (P8(a3,f5(a4))),
% 0.19/0.65 inference(scs_inference,[],[1,4,66,5,3,77,80,83,2,15,41,18,19,62,61,60,46,52,51,28,22,53])).
% 0.19/0.65 cnf(96,plain,
% 0.19/0.65 ($false),
% 0.19/0.65 inference(scs_inference,[],[87,3]),
% 0.19/0.65 ['proof']).
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time :0.010000s
%------------------------------------------------------------------------------