TSTP Solution File: GEO258+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO258+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 : n021.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 22:44:05 EDT 2023
% Result : Theorem 0.56s 0.67s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO258+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
% 0.13/0.34 % Computer : n021.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 21:54:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 0.56/0.66 %-------------------------------------------
% 0.56/0.66 % File :CSE---1.6
% 0.56/0.66 % Problem :theBenchmark
% 0.56/0.66 % Transform :cnf
% 0.56/0.66 % Format :tptp:raw
% 0.56/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.66
% 0.56/0.66 % Result :Theorem 0.010000s
% 0.56/0.66 % Output :CNFRefutation 0.010000s
% 0.56/0.66 %-------------------------------------------
% 0.56/0.67 %------------------------------------------------------------------------------
% 0.56/0.67 % File : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.56/0.67 % Domain : Geometry (Constructive)
% 0.56/0.67 % Problem : Betweeness
% 0.56/0.67 % Version : [vPl98] axioms : Especial.
% 0.56/0.67 % English :
% 0.56/0.67
% 0.56/0.67 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.56/0.67 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.56/0.67 % Source : [ILTP]
% 0.56/0.67 % Names : Theorem 6.4.i [vPl98]
% 0.56/0.67
% 0.56/0.67 % Status : Theorem
% 0.56/0.67 % Rating : 0.00 v6.4.0
% 0.56/0.67 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 0.56/0.67 % Number of atoms : 104 ( 0 equ)
% 0.56/0.67 % Maximal formula atoms : 10 ( 3 avg)
% 0.56/0.67 % Number of connectives : 88 ( 16 ~; 24 |; 25 &)
% 0.56/0.67 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 0.56/0.67 % Maximal formula depth : 13 ( 6 avg)
% 0.56/0.67 % Maximal term depth : 3 ( 1 avg)
% 0.56/0.67 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 0.56/0.67 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.56/0.67 % Number of variables : 75 ( 75 !; 0 ?)
% 0.56/0.67 % SPC : FOF_THM_RFO_NEQ
% 0.56/0.67
% 0.56/0.67 % Comments : Definitions unfolded, hence Especial.
% 0.56/0.67 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.56/0.67 %------------------------------------------------------------------------------
% 0.56/0.67 include('Axioms/GEO007+0.ax').
% 0.56/0.67 %------------------------------------------------------------------------------
% 0.56/0.67 fof(con,conjecture,
% 0.56/0.67 ! [L,A,B,C] :
% 0.56/0.67 ( between_on_line(L,A,B,C)
% 0.56/0.67 => between_on_line(L,C,B,A) ) ).
% 0.56/0.67
% 0.56/0.67 %------------------------------------------------------------------------------
% 0.56/0.67 %-------------------------------------------
% 0.56/0.67 % Proof found
% 0.56/0.67 % SZS status Theorem for theBenchmark
% 0.56/0.67 % SZS output start Proof
% 0.56/0.67 %ClaNum:60(EqnAxiom:0)
% 0.56/0.67 %VarNum:269(SingletonVarNum:105)
% 0.56/0.67 %MaxLitNum:10
% 0.56/0.67 %MaxfuncDepth:2
% 0.56/0.67 %SharedTerms:6
% 0.56/0.67 %goalClause: 1 13
% 0.56/0.67 %singleGoalClaCount:2
% 0.56/0.67 [1]P1(a1,a2,a3,a4)
% 0.56/0.67 [13]~P1(a1,a4,a3,a2)
% 0.56/0.67 [3]~P9(x31,x31)
% 0.56/0.67 [4]~P5(x41,x41)
% 0.56/0.67 [5]~P6(x51,x51)
% 0.56/0.67 [8]~P6(x81,f5(x81))
% 0.56/0.67 [2]~P4(x21,x22)
% 0.56/0.67 [6]~P10(x61,x62)
% 0.56/0.67 [10]~P2(x101,f6(x102,x101))
% 0.56/0.67 [11]~P9(f6(x111,x112),x111)
% 0.56/0.67 [12]~P9(f7(x121,x122),f5(f7(x122,x121)))
% 0.56/0.67 [14]~P11(x141)+P11(f5(x141))
% 0.56/0.67 [16]~P7(x161,x162)+P9(x161,x162)
% 0.56/0.67 [17]~P7(x171,x172)+P9(x171,f5(x172))
% 0.56/0.67 [31]~P5(x311,x312)+~P2(x312,f7(x311,x312))
% 0.56/0.67 [32]~P5(x321,x322)+~P2(x321,f7(x321,x322))
% 0.56/0.67 [39]P5(x391,x392)+~P3(x393,x391,x392)
% 0.56/0.67 [52]~P3(x521,x522,x523)+~P9(x521,f7(x522,x523))
% 0.56/0.67 [18]~P11(x181)+~P12(x182)+P11(f6(x181,x182))
% 0.56/0.67 [26]~P2(x261,x262)+P4(x261,x262)+P4(x261,f5(x262))
% 0.56/0.67 [28]~P9(x281,x282)+P7(x281,x282)+~P9(x281,f5(x282))
% 0.56/0.67 [47]~P9(x471,x472)+~P9(x471,f5(x472))+~P2(f8(x471,x472),x472)
% 0.56/0.67 [48]~P9(x481,x482)+~P9(x481,f5(x482))+~P2(f8(x481,x482),x481)
% 0.56/0.67 [22]~P9(x223,x221)+P9(x221,x222)+P9(x223,x222)
% 0.56/0.67 [24]~P5(x243,x241)+P5(x241,x242)+P5(x243,x242)
% 0.56/0.67 [25]~P6(x253,x251)+P6(x251,x252)+P6(x253,x252)
% 0.56/0.67 [44]~P8(x442,x441,x443)+P4(x441,x442)+P4(x443,x442)
% 0.56/0.67 [49]P4(x491,x492)+~P8(x492,x493,x491)+P4(x491,f5(x492))
% 0.56/0.67 [50]P4(x501,x502)+~P8(x502,x501,x503)+P4(x501,f5(x502))
% 0.56/0.67 [51]~P8(x512,x513,x511)+P4(x511,f5(x512))+P4(x513,f5(x512))
% 0.56/0.67 [55]~P3(x551,x553,x552)+~P3(x551,x554,x553)+P1(x551,x552,x553,x554)
% 0.56/0.67 [56]~P3(x561,x563,x564)+~P3(x561,x562,x563)+P1(x561,x562,x563,x564)
% 0.56/0.67 [57]~P1(x571,x572,x573,x574)+P3(x571,x572,x573)+P3(x571,x574,x573)
% 0.56/0.67 [58]P3(x581,x583,x582)+P3(x581,x582,x583)+~P1(x581,x584,x582,x583)
% 0.56/0.67 [59]P3(x591,x593,x592)+P3(x591,x592,x593)+~P1(x591,x592,x593,x594)
% 0.56/0.67 [60]~P1(x601,x604,x602,x603)+P3(x601,x602,x603)+P3(x601,x602,x604)
% 0.56/0.67 [20]~P11(x202)+~P11(x201)+P9(x201,x202)+P9(x201,f5(x202))
% 0.56/0.67 [27]~P12(x272)+~P12(x271)+~P5(x271,x272)+P11(f7(x271,x272))
% 0.56/0.67 [35]~P9(x351,x352)+P10(x351,x352)+P10(x351,f5(x352))+~P9(x351,f5(x352))
% 0.56/0.67 [33]~P9(x331,x333)+P9(x331,x332)+~P9(x331,f5(x333))+P9(x333,f5(x332))
% 0.56/0.67 [34]~P9(x343,x341)+P9(x341,x342)+~P9(x343,f5(x341))+P9(x343,f5(x342))
% 0.56/0.67 [37]~P11(x372)+~P11(x371)+~P9(x371,x372)+~P9(x371,f5(x372))+P12(f8(x371,x372))
% 0.56/0.67 [54]P3(x542,x543,x541)+~P5(x543,x541)+P4(x541,x542)+P4(x543,x542)+P4(x541,f5(x542))+P4(x543,f5(x542))+P9(x542,f7(x543,x541))
% 0.56/0.67 [53]P4(x534,x533)+~P5(x534,x531)+~P6(x533,x532)+P4(x531,x532)+P4(x531,x533)+P4(x534,x532)+P4(x531,f5(x532))+P4(x531,f5(x533))+P4(x534,f5(x532))+P4(x534,f5(x533))
% 0.56/0.67 %EqnAxiom
% 0.56/0.67
% 0.56/0.67 %-------------------------------------------
% 0.56/0.67 cnf(64,plain,
% 0.56/0.67 (~P9(x641,x641)),
% 0.56/0.67 inference(rename_variables,[],[3])).
% 0.56/0.67 cnf(74,plain,
% 0.56/0.67 (~P9(x741,x741)),
% 0.56/0.67 inference(rename_variables,[],[3])).
% 0.56/0.67 cnf(77,plain,
% 0.56/0.67 (~P9(x771,x771)),
% 0.56/0.67 inference(rename_variables,[],[3])).
% 0.56/0.67 cnf(81,plain,
% 0.56/0.67 (P3(a1,a2,a3)+~P3(a1,a3,a2)),
% 0.56/0.67 inference(scs_inference,[],[1,3,64,74,4,13,11,12,39,16,17,60,59,58,20,34,57,56])).
% 0.56/0.67 cnf(83,plain,
% 0.56/0.67 (P3(a1,a2,a3)+~P6(f5(x831),x831)),
% 0.56/0.67 inference(scs_inference,[],[1,3,64,74,4,5,13,8,11,12,39,16,17,60,59,58,20,34,57,56,25])).
% 0.56/0.67 cnf(85,plain,
% 0.56/0.67 (P3(a1,a2,a3)+~P9(x851,f6(x851,x852))),
% 0.56/0.67 inference(scs_inference,[],[1,3,64,74,77,4,5,13,8,11,12,39,16,17,60,59,58,20,34,57,56,25,22])).
% 0.56/0.67 cnf(88,plain,
% 0.56/0.67 (P3(a1,a2,a3)+~P9(x881,x882)+P10(x881,f5(x882))+~P9(x881,f5(x882))),
% 0.56/0.67 inference(scs_inference,[],[1,3,64,74,77,4,5,6,13,8,11,12,39,16,17,60,59,58,20,34,57,56,25,22,35])).
% 0.56/0.67 cnf(100,plain,
% 0.56/0.67 (P3(a1,a3,a4)),
% 0.56/0.67 inference(scs_inference,[],[1,13,12,3,22,60,56,39,58])).
% 0.56/0.67 cnf(102,plain,
% 0.56/0.67 (~P3(a1,a2,a3)),
% 0.56/0.67 inference(scs_inference,[],[13,100,55])).
% 0.56/0.67 cnf(115,plain,
% 0.56/0.67 (~P3(a1,a3,a2)),
% 0.56/0.67 inference(scs_inference,[],[13,6,100,55,60,57,85,83,52,88,81])).
% 0.56/0.67 cnf(131,plain,
% 0.56/0.67 ($false),
% 0.56/0.67 inference(scs_inference,[],[115,102,1,59]),
% 0.56/0.67 ['proof']).
% 0.56/0.67 % SZS output end Proof
% 0.56/0.67 % Total time :0.010000s
%------------------------------------------------------------------------------