%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO258+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : Mon Jun 24 06:04:59 EDT 2024
% Result : Theorem 58.59s 58.86s
% Output : CNFRefutation 58.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO258+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri Jun 21 08:41:38 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.17/0.56 start to proof:theBenchmark
% 58.59/58.85 %-------------------------------------------
% 58.59/58.85 % File :CSE---1.7
% 58.59/58.85 % Problem :theBenchmark
% 58.59/58.85 % Transform :cnf
% 58.59/58.85 % Format :tptp:raw
% 58.59/58.85 % Command :java -jar mcs_scs.jar %d %s
% 58.59/58.85
% 58.59/58.85 % Result :Theorem 58.020000s
% 58.59/58.85 % Output :CNFRefutation 58.020000s
% 58.59/58.85 %-------------------------------------------
% 58.59/58.86 %------------------------------------------------------------------------------
% 58.59/58.86 % File : GEO258+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 58.59/58.86 % Domain : Geometry (Constructive)
% 58.59/58.86 % Problem : Betweeness
% 58.59/58.86 % Version : [vPl98] axioms : Especial.
% 58.59/58.86 % English :
% 58.59/58.86
% 58.59/58.86 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 58.59/58.86 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.59/58.86 % Source : [ILTP]
% 58.59/58.86 % Names : Theorem 6.4.i [vPl98]
% 58.59/58.86
% 58.59/58.86 % Status : Theorem
% 58.59/58.86 % Rating : 0.00 v6.4.0
% 58.59/58.86 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 58.59/58.86 % Number of atoms : 104 ( 0 equ)
% 58.59/58.86 % Maximal formula atoms : 10 ( 3 avg)
% 58.59/58.86 % Number of connectives : 88 ( 16 ~; 24 |; 25 &)
% 58.59/58.86 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 58.59/58.86 % Maximal formula depth : 13 ( 6 avg)
% 58.59/58.86 % Maximal term depth : 3 ( 1 avg)
% 58.59/58.86 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 58.59/58.86 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 58.59/58.86 % Number of variables : 75 ( 75 !; 0 ?)
% 58.59/58.86 % SPC : FOF_THM_RFO_NEQ
% 58.59/58.86
% 58.59/58.86 % Comments : Definitions unfolded, hence Especial.
% 58.59/58.86 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 58.59/58.86 %------------------------------------------------------------------------------
% 58.59/58.86 include('Axioms/GEO007+0.ax').
% 58.59/58.86 %------------------------------------------------------------------------------
% 58.59/58.86 fof(con,conjecture,
% 58.59/58.86 ! [L,A,B,C] :
% 58.59/58.86 ( between_on_line(L,A,B,C)
% 58.59/58.86 => between_on_line(L,C,B,A) ) ).
% 58.59/58.86
% 58.59/58.86 %------------------------------------------------------------------------------
% 58.59/58.86 %-------------------------------------------
% 58.59/58.86 % Proof found
% 58.59/58.86 % SZS status Theorem for theBenchmark
% 58.59/58.86 % SZS output start Proof
% 58.59/58.87 %ClaNum:60(EqnAxiom:0)
% 58.59/58.87 %VarNum:269(SingletonVarNum:105)
% 58.59/58.87 %MaxLitNum:10
% 58.59/58.87 %MaxfuncDepth:2
% 58.59/58.87 %SharedTerms:6
% 58.59/58.87 %goalClause: 1 13
% 58.59/58.87 %singleGoalClaCount:2
% 58.59/58.87 [1]P1(a1,a2,a3,a4)
% 58.59/58.87 [13]~P1(a1,a4,a3,a2)
% 58.59/58.87 [3]~P9(x31,x31)
% 58.59/58.87 [4]~P5(x41,x41)
% 58.59/58.87 [5]~P6(x51,x51)
% 58.59/58.87 [8]~P6(x81,f5(x81))
% 58.59/58.87 [2]~P4(x21,x22)
% 58.59/58.87 [6]~P10(x61,x62)
% 58.59/58.87 [10]~P2(x101,f6(x102,x101))
% 58.59/58.87 [11]~P9(f6(x111,x112),x111)
% 58.59/58.87 [12]~P9(f7(x121,x122),f5(f7(x122,x121)))
% 58.59/58.87 [14]~P11(x141)+P11(f5(x141))
% 58.59/58.87 [16]~P7(x161,x162)+P9(x161,x162)
% 58.59/58.87 [17]~P7(x171,x172)+P9(x171,f5(x172))
% 58.59/58.87 [31]~P5(x311,x312)+~P2(x312,f7(x311,x312))
% 58.59/58.87 [32]~P5(x321,x322)+~P2(x321,f7(x321,x322))
% 58.59/58.87 [39]P5(x391,x392)+~P3(x393,x391,x392)
% 58.59/58.87 [52]~P3(x521,x522,x523)+~P9(x521,f7(x522,x523))
% 58.59/58.87 [18]~P11(x181)+~P12(x182)+P11(f6(x181,x182))
% 58.59/58.87 [26]~P2(x261,x262)+P4(x261,x262)+P4(x261,f5(x262))
% 58.59/58.87 [28]~P9(x281,x282)+P7(x281,x282)+~P9(x281,f5(x282))
% 58.59/58.87 [47]~P9(x471,x472)+~P9(x471,f5(x472))+~P2(f8(x471,x472),x472)
% 58.59/58.87 [48]~P9(x481,x482)+~P9(x481,f5(x482))+~P2(f8(x481,x482),x481)
% 58.59/58.87 [22]~P9(x223,x221)+P9(x221,x222)+P9(x223,x222)
% 58.59/58.87 [24]~P5(x243,x241)+P5(x241,x242)+P5(x243,x242)
% 58.59/58.87 [25]~P6(x253,x251)+P6(x251,x252)+P6(x253,x252)
% 58.59/58.87 [44]~P8(x442,x441,x443)+P4(x441,x442)+P4(x443,x442)
% 58.59/58.87 [49]P4(x491,x492)+~P8(x492,x493,x491)+P4(x491,f5(x492))
% 58.59/58.87 [50]P4(x501,x502)+~P8(x502,x501,x503)+P4(x501,f5(x502))
% 58.59/58.87 [51]~P8(x512,x513,x511)+P4(x511,f5(x512))+P4(x513,f5(x512))
% 58.59/58.87 [55]~P3(x551,x553,x552)+~P3(x551,x554,x553)+P1(x551,x552,x553,x554)
% 58.59/58.88 [56]~P3(x561,x563,x564)+~P3(x561,x562,x563)+P1(x561,x562,x563,x564)
% 58.59/58.88 [57]~P1(x571,x572,x573,x574)+P3(x571,x572,x573)+P3(x571,x574,x573)
% 58.59/58.88 [58]P3(x581,x583,x582)+P3(x581,x582,x583)+~P1(x581,x584,x582,x583)
% 58.59/58.88 [59]P3(x591,x593,x592)+P3(x591,x592,x593)+~P1(x591,x592,x593,x594)
% 58.59/58.88 [60]~P1(x601,x604,x602,x603)+P3(x601,x602,x603)+P3(x601,x602,x604)
% 58.59/58.88 [20]~P11(x202)+~P11(x201)+P9(x201,x202)+P9(x201,f5(x202))
% 58.59/58.88 [27]~P12(x272)+~P12(x271)+~P5(x271,x272)+P11(f7(x271,x272))
% 58.59/58.88 [35]~P9(x351,x352)+P10(x351,x352)+P10(x351,f5(x352))+~P9(x351,f5(x352))
% 58.59/58.88 [33]~P9(x331,x333)+P9(x331,x332)+~P9(x331,f5(x333))+P9(x333,f5(x332))
% 58.59/58.88 [34]~P9(x343,x341)+P9(x341,x342)+~P9(x343,f5(x341))+P9(x343,f5(x342))
% 58.59/58.88 [37]~P11(x372)+~P11(x371)+~P9(x371,x372)+~P9(x371,f5(x372))+P12(f8(x371,x372))
% 58.59/58.88 [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))
% 58.59/58.88 [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))
% 58.59/58.88 %EqnAxiom
% 58.59/58.88
% 58.59/58.88 %-------------------------------------------
% 58.69/58.95 cnf(66,plain,
% 58.69/58.95 (~P9(x661,x661)),
% 58.69/58.95 inference(rename_variables,[],[3])).
% 58.69/58.95 cnf(78,plain,
% 58.69/58.95 (~P3(a1,a3,a4)+~P3(a1,a2,a3)),
% 58.69/58.95 inference(scs_inference,[],[13,4,3,66,12,39,16,17,57,58,59,20,55])).
% 58.69/58.95 cnf(88,plain,
% 58.69/58.95 (~P9(f6(x881,x882),x881)),
% 58.69/58.95 inference(rename_variables,[],[11])).
% 58.69/58.95 cnf(95,plain,
% 58.69/58.95 (~P3(a1,a3,a2)+~P3(a1,a4,a3)),
% 58.69/58.95 inference(scs_inference,[],[13,11,88,3,17,16,22,56])).
% 58.69/58.95 cnf(552,plain,
% 58.69/58.95 (P3(a1,a3,a4)+~P3(a1,a3,a2)),
% 58.69/58.95 inference(scs_inference,[],[1,95,58])).
% 58.69/58.95 cnf(8235,plain,
% 58.69/58.95 (~P3(a1,a2,a3)+~P3(a1,a3,a2)),
% 58.69/58.95 inference(scs_inference,[],[78,552])).
% 58.69/58.95 cnf(8959,plain,
% 58.69/58.95 (~P3(a1,a3,a4)+P3(a1,a3,a2)),
% 58.69/58.95 inference(scs_inference,[],[1,78,59])).
% 58.69/58.95 cnf(12754,plain,
% 58.69/58.95 (~P3(a1,a4,a3)+P3(a1,a2,a3)),
% 58.69/58.95 inference(scs_inference,[],[1,95,59])).
% 58.69/58.95 cnf(103046,plain,
% 58.69/58.95 (P3(a1,a2,a3)),
% 58.69/58.95 inference(scs_inference,[],[1,57,52,95,12754])).
% 58.69/58.95 cnf(103050,plain,
% 58.69/58.95 (~P3(a1,a3,a2)),
% 58.69/58.95 inference(scs_inference,[],[103046,8235])).
% 58.69/58.95 cnf(103058,plain,
% 58.69/58.95 (P3(a1,a3,a2)),
% 58.69/58.95 inference(scs_inference,[],[1,103046,13,52,60,55,8959])).
% 58.69/58.95 cnf(103062,plain,
% 58.69/58.95 ($false),
% 58.69/58.95 inference(scs_inference,[],[103050,103058]),
% 58.69/58.95 ['proof']).
% 58.76/59.02 % SZS output end Proof
% 58.76/59.02 % Total time :58.020000s
%------------------------------------------------------------------------------