TSTP Solution File: GEO238+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n024.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 22:43:57 EDT 2023
% Result : Theorem 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n024.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 19:23:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % File :CSE---1.6
% 0.20/0.61 % Problem :theBenchmark
% 0.20/0.61 % Transform :cnf
% 0.20/0.61 % Format :tptp:raw
% 0.20/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.61
% 0.20/0.61 % Result :Theorem 0.000000s
% 0.20/0.61 % Output :CNFRefutation 0.000000s
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 % File : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.61 % Domain : Geometry (Constructive)
% 0.20/0.61 % Problem : Strengthened axiom of Pasch
% 0.20/0.61 % Version : [vPl98] axioms.
% 0.20/0.61 % English :
% 0.20/0.61
% 0.20/0.61 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.20/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.61 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.20/0.61 % Source : [Rat07]
% 0.20/0.61 % Names : Therorem 5.4 [vPl98]
% 0.20/0.61
% 0.20/0.61 % Status : Theorem
% 0.20/0.61 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 0.20/0.61 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.20/0.61 % Number of atoms : 112 ( 0 equ)
% 0.20/0.62 % Maximal formula atoms : 10 ( 3 avg)
% 0.20/0.62 % Number of connectives : 88 ( 13 ~; 22 |; 25 &)
% 0.20/0.62 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.20/0.62 % Maximal formula depth : 13 ( 5 avg)
% 0.20/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.62 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.20/0.62 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.20/0.62 % Number of variables : 85 ( 85 !; 0 ?)
% 0.20/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.62
% 0.20/0.62 % Comments :
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 include('Axioms/GEO009+0.ax').
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 fof(con,conjecture,
% 0.20/0.62 ! [A,B,C,L] :
% 0.20/0.62 ( ( divides_points(L,A,B)
% 0.20/0.62 & divides_points(L,A,C) )
% 0.20/0.62 => ~ divides_points(L,B,C) ) ).
% 0.20/0.62
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark
% 0.20/0.62 % SZS output start Proof
% 0.20/0.62 %ClaNum:69(EqnAxiom:0)
% 0.20/0.62 %VarNum:311(SingletonVarNum:129)
% 0.20/0.62 %MaxLitNum:10
% 0.20/0.62 %MaxfuncDepth:2
% 0.20/0.62 %SharedTerms:7
% 0.20/0.62 %goalClause: 3 4 5
% 0.20/0.62 %singleGoalClaCount:3
% 0.20/0.62 [3]P2(a2,a3,a4)
% 0.20/0.62 [4]P2(a2,a3,a5)
% 0.20/0.62 [5]P2(a2,a4,a5)
% 0.20/0.62 [1]P1(x11,x11)
% 0.20/0.62 [8]~P3(x81,x81)
% 0.20/0.62 [9]~P4(x91,x91)
% 0.20/0.62 [12]~P4(x121,f8(x121))
% 0.20/0.62 [6]~P9(x61,x62)
% 0.20/0.62 [7]~P12(x71,x72)
% 0.20/0.62 [2]P1(f1(x21,x22),x21)
% 0.20/0.62 [13]~P5(x131,f1(x132,x131))
% 0.20/0.62 [14]~P13(x141)+P13(f8(x141))
% 0.20/0.62 [15]P10(x151,x152)+P14(x151,x152)
% 0.20/0.62 [16]P1(x161,x162)+P15(x161,x162)
% 0.20/0.62 [18]~P6(x181,x182)+P14(x181,x182)
% 0.20/0.62 [19]~P6(x191,x192)+P15(x191,x192)
% 0.20/0.62 [20]~P16(x201,x202)+P5(x201,x202)
% 0.20/0.62 [26]~P10(x261,x262)+~P14(x261,x262)
% 0.20/0.62 [27]~P1(x271,x272)+~P15(x271,x272)
% 0.20/0.62 [17]P15(x171,x172)+P15(x171,f8(x172))
% 0.20/0.62 [22]~P14(x221,x222)+P15(x221,f8(x222))
% 0.20/0.62 [23]~P16(x231,x232)+P9(x231,f8(x232))
% 0.20/0.62 [24]~P18(x241,x242)+P12(x241,f8(x242))
% 0.20/0.62 [28]P14(x281,x282)+~P15(x281,f8(x282))
% 0.20/0.62 [41]~P3(x411,x412)+~P5(x412,f6(x411,x412))
% 0.20/0.62 [42]~P3(x421,x422)+~P5(x421,f6(x421,x422))
% 0.20/0.62 [60]~P3(x601,x602)+P1(f6(x601,x602),f8(f6(x602,x601)))
% 0.20/0.62 [51]P3(x511,x512)+~P7(x513,x511,x512)
% 0.20/0.62 [52]P11(x521,x522)+~P7(x522,x523,x521)
% 0.20/0.62 [53]P11(x531,x532)+~P7(x532,x531,x533)
% 0.20/0.62 [61]~P7(x611,x612,x613)+P1(x611,f6(x612,x613))
% 0.20/0.62 [33]P9(x331,x332)+~P5(x331,x332)+P16(x331,x332)
% 0.20/0.62 [37]~P14(x371,x372)+~P15(x371,x372)+P6(x371,x372)
% 0.20/0.62 [25]~P17(x252)+~P13(x251)+P13(f1(x251,x252))
% 0.20/0.62 [58]~P15(x581,x582)+~P15(x581,f8(x582))+~P5(f7(x581,x582),x582)
% 0.20/0.62 [59]~P15(x591,x592)+~P15(x591,f8(x592))+~P5(f7(x591,x592),x591)
% 0.20/0.62 [31]~P15(x313,x311)+P15(x311,x312)+P15(x313,x312)
% 0.20/0.62 [35]~P3(x353,x351)+P3(x351,x352)+P3(x353,x352)
% 0.20/0.62 [36]~P4(x363,x361)+P4(x361,x362)+P4(x363,x362)
% 0.20/0.62 [54]~P2(x542,x543,x541)+P16(x541,x542)+P16(x543,x542)
% 0.20/0.62 [55]P9(x551,x552)+P16(x551,x552)+~P2(x552,x553,x551)
% 0.20/0.62 [56]P9(x561,x562)+P16(x561,x562)+~P2(x562,x561,x563)
% 0.20/0.62 [57]~P2(x572,x571,x573)+P9(x571,x572)+P9(x573,x572)
% 0.20/0.62 [64]~P7(x641,x643,x642)+~P7(x641,x644,x643)+P8(x641,x642,x643,x644)
% 0.20/0.62 [65]~P7(x651,x653,x654)+~P7(x651,x652,x653)+P8(x651,x652,x653,x654)
% 0.20/0.62 [66]~P8(x661,x662,x663,x664)+P7(x661,x662,x663)+P7(x661,x664,x663)
% 0.20/0.62 [67]P7(x671,x673,x672)+P7(x671,x672,x673)+~P8(x671,x674,x672,x673)
% 0.20/0.62 [68]P7(x681,x683,x682)+P7(x681,x682,x683)+~P8(x681,x682,x683,x684)
% 0.20/0.62 [69]~P8(x691,x694,x692,x693)+P7(x691,x692,x693)+P7(x691,x692,x694)
% 0.20/0.62 [38]~P17(x382)+~P17(x381)+~P3(x381,x382)+P13(f6(x381,x382))
% 0.20/0.62 [45]~P15(x451,x452)+P12(x451,x452)+P12(x451,f8(x452))+~P15(x451,f8(x452))
% 0.20/0.62 [43]~P15(x431,x433)+P15(x431,x432)+~P15(x431,f8(x433))+P15(x433,f8(x432))
% 0.20/0.62 [44]~P15(x443,x441)+P15(x441,x442)+~P15(x443,f8(x441))+P15(x443,f8(x442))
% 0.20/0.62 [47]~P13(x472)+~P13(x471)+~P15(x471,x472)+~P15(x471,f8(x472))+P17(f7(x471,x472))
% 0.20/0.62 [63]~P3(x632,x633)+~P11(x633,x631)+~P11(x632,x631)+P7(x631,x632,x633)+~P1(x631,f6(x632,x633))
% 0.20/0.62 [62]P9(x624,x623)+~P3(x624,x621)+~P4(x623,x622)+P9(x621,x622)+P9(x621,x623)+P9(x624,x622)+P9(x621,f8(x622))+P9(x621,f8(x623))+P9(x624,f8(x622))+P9(x624,f8(x623))
% 0.20/0.62 %EqnAxiom
% 0.20/0.62
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 cnf(72,plain,
% 0.20/0.62 (~P16(x721,x722)),
% 0.20/0.62 inference(scs_inference,[],[8,6,13,51,20,23])).
% 0.20/0.62 cnf(73,plain,
% 0.20/0.62 (~P9(x731,x732)),
% 0.20/0.62 inference(rename_variables,[],[6])).
% 0.20/0.62 cnf(91,plain,
% 0.20/0.62 (P16(a4,a2)),
% 0.20/0.62 inference(scs_inference,[],[3,1,8,6,73,13,51,20,23,69,68,67,57,56,55,27,17,54])).
% 0.20/0.62 cnf(105,plain,
% 0.20/0.62 ($false),
% 0.20/0.62 inference(scs_inference,[],[72,91]),
% 0.20/0.62 ['proof']).
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------