TSTP Solution File: GEO235+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO235+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 : n029.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 22:43:55 EDT 2023
% Result : Theorem 0.52s 0.62s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO235+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 21:23:12 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.51/0.55 start to proof:theBenchmark
% 0.52/0.61 %-------------------------------------------
% 0.52/0.61 % File :CSE---1.6
% 0.52/0.61 % Problem :theBenchmark
% 0.52/0.61 % Transform :cnf
% 0.52/0.61 % Format :tptp:raw
% 0.52/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.61
% 0.52/0.61 % Result :Theorem 0.000000s
% 0.52/0.61 % Output :CNFRefutation 0.000000s
% 0.52/0.61 %-------------------------------------------
% 0.52/0.62 %------------------------------------------------------------------------------
% 0.52/0.62 % File : GEO235+3 : TPTP v8.1.2. Released v4.0.0.
% 0.52/0.62 % Domain : Geometry (Constructive)
% 0.52/0.62 % Problem : Left and right apart leads to distinctness of points
% 0.52/0.62 % Version : [vPl98] axioms.
% 0.52/0.62 % English :
% 0.52/0.62
% 0.52/0.62 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.52/0.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.52/0.62 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.52/0.62 % Source : [Rat07]
% 0.52/0.62 % Names : Therorem 5.1 [vPl98]
% 0.52/0.62
% 0.52/0.62 % Status : Theorem
% 0.52/0.62 % 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
% 0.52/0.62 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.52/0.62 % Number of atoms : 112 ( 0 equ)
% 0.52/0.62 % Maximal formula atoms : 10 ( 3 avg)
% 0.52/0.62 % Number of connectives : 87 ( 12 ~; 22 |; 25 &)
% 0.52/0.62 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.52/0.62 % Maximal formula depth : 13 ( 5 avg)
% 0.52/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.52/0.62 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.52/0.62 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.52/0.62 % Number of variables : 84 ( 84 !; 0 ?)
% 0.52/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.52/0.62
% 0.52/0.62 % Comments :
% 0.52/0.62 %------------------------------------------------------------------------------
% 0.52/0.62 include('Axioms/GEO009+0.ax').
% 0.52/0.62 %------------------------------------------------------------------------------
% 0.52/0.62 fof(con,conjecture,
% 0.52/0.62 ! [A,B,L] :
% 0.52/0.62 ( ( left_apart_point(A,L)
% 0.52/0.62 & right_apart_point(B,L) )
% 0.52/0.62 => distinct_points(A,B) ) ).
% 0.52/0.62
% 0.52/0.62 %------------------------------------------------------------------------------
% 0.52/0.62 %-------------------------------------------
% 0.52/0.62 % Proof found
% 0.52/0.62 % SZS status Theorem for theBenchmark
% 0.52/0.62 % SZS output start Proof
% 0.52/0.62 %ClaNum:69(EqnAxiom:0)
% 0.52/0.62 %VarNum:311(SingletonVarNum:129)
% 0.52/0.62 %MaxLitNum:10
% 0.52/0.62 %MaxfuncDepth:2
% 0.52/0.62 %SharedTerms:6
% 0.52/0.62 %goalClause: 1 2 5
% 0.52/0.62 %singleGoalClaCount:3
% 0.52/0.62 [1]P1(a1,a3)
% 0.52/0.62 [2]P2(a2,a3)
% 0.52/0.62 [5]~P4(a2,a1)
% 0.52/0.62 [3]P3(x31,x31)
% 0.52/0.62 [8]~P4(x81,x81)
% 0.52/0.62 [9]~P5(x91,x91)
% 0.52/0.62 [12]~P5(x121,f7(x121))
% 0.52/0.62 [6]~P2(x61,x62)
% 0.52/0.62 [7]~P13(x71,x72)
% 0.52/0.62 [4]P3(f4(x41,x42),x41)
% 0.52/0.62 [13]~P6(x131,f4(x132,x131))
% 0.52/0.62 [14]~P14(x141)+P14(f7(x141))
% 0.52/0.62 [15]P11(x151,x152)+P16(x151,x152)
% 0.52/0.62 [16]P3(x161,x162)+P17(x161,x162)
% 0.52/0.62 [18]~P7(x181,x182)+P16(x181,x182)
% 0.52/0.62 [19]~P7(x191,x192)+P17(x191,x192)
% 0.52/0.62 [20]~P1(x201,x202)+P6(x201,x202)
% 0.52/0.62 [26]~P11(x261,x262)+~P16(x261,x262)
% 0.52/0.62 [27]~P3(x271,x272)+~P17(x271,x272)
% 0.52/0.62 [17]P17(x171,x172)+P17(x171,f7(x172))
% 0.52/0.62 [22]~P16(x221,x222)+P17(x221,f7(x222))
% 0.52/0.62 [23]~P1(x231,x232)+P2(x231,f7(x232))
% 0.52/0.62 [24]~P18(x241,x242)+P13(x241,f7(x242))
% 0.52/0.62 [28]P16(x281,x282)+~P17(x281,f7(x282))
% 0.52/0.62 [41]~P4(x411,x412)+~P6(x412,f5(x411,x412))
% 0.52/0.62 [42]~P4(x421,x422)+~P6(x421,f5(x421,x422))
% 0.52/0.62 [60]~P4(x601,x602)+P3(f5(x601,x602),f7(f5(x602,x601)))
% 0.52/0.62 [51]P4(x511,x512)+~P8(x513,x511,x512)
% 0.52/0.62 [52]P12(x521,x522)+~P8(x522,x523,x521)
% 0.52/0.62 [53]P12(x531,x532)+~P8(x532,x531,x533)
% 0.52/0.62 [61]~P8(x611,x612,x613)+P3(x611,f5(x612,x613))
% 0.52/0.62 [33]P2(x331,x332)+~P6(x331,x332)+P1(x331,x332)
% 0.52/0.62 [37]~P16(x371,x372)+~P17(x371,x372)+P7(x371,x372)
% 0.52/0.62 [25]~P15(x252)+~P14(x251)+P14(f4(x251,x252))
% 0.52/0.62 [58]~P17(x581,x582)+~P17(x581,f7(x582))+~P6(f6(x581,x582),x582)
% 0.52/0.62 [59]~P17(x591,x592)+~P17(x591,f7(x592))+~P6(f6(x591,x592),x591)
% 0.52/0.62 [31]~P17(x313,x311)+P17(x311,x312)+P17(x313,x312)
% 0.52/0.62 [35]~P4(x353,x351)+P4(x351,x352)+P4(x353,x352)
% 0.52/0.62 [36]~P5(x363,x361)+P5(x361,x362)+P5(x363,x362)
% 0.52/0.62 [54]~P10(x542,x543,x541)+P1(x541,x542)+P1(x543,x542)
% 0.52/0.62 [55]P2(x551,x552)+P1(x551,x552)+~P10(x552,x553,x551)
% 0.52/0.62 [56]P2(x561,x562)+P1(x561,x562)+~P10(x562,x561,x563)
% 0.52/0.62 [57]~P10(x572,x571,x573)+P2(x571,x572)+P2(x573,x572)
% 0.52/0.62 [64]~P8(x641,x643,x642)+~P8(x641,x644,x643)+P9(x641,x642,x643,x644)
% 0.52/0.62 [65]~P8(x651,x653,x654)+~P8(x651,x652,x653)+P9(x651,x652,x653,x654)
% 0.52/0.62 [66]~P9(x661,x662,x663,x664)+P8(x661,x662,x663)+P8(x661,x664,x663)
% 0.52/0.62 [67]P8(x671,x673,x672)+P8(x671,x672,x673)+~P9(x671,x674,x672,x673)
% 0.52/0.62 [68]P8(x681,x683,x682)+P8(x681,x682,x683)+~P9(x681,x682,x683,x684)
% 0.52/0.62 [69]~P9(x691,x694,x692,x693)+P8(x691,x692,x693)+P8(x691,x692,x694)
% 0.52/0.62 [38]~P15(x382)+~P15(x381)+~P4(x381,x382)+P14(f5(x381,x382))
% 0.52/0.62 [45]~P17(x451,x452)+P13(x451,x452)+P13(x451,f7(x452))+~P17(x451,f7(x452))
% 0.52/0.62 [43]~P17(x431,x433)+P17(x431,x432)+~P17(x431,f7(x433))+P17(x433,f7(x432))
% 0.52/0.62 [44]~P17(x443,x441)+P17(x441,x442)+~P17(x443,f7(x441))+P17(x443,f7(x442))
% 0.52/0.62 [47]~P14(x472)+~P14(x471)+~P17(x471,x472)+~P17(x471,f7(x472))+P15(f6(x471,x472))
% 0.52/0.62 [63]~P4(x632,x633)+~P12(x633,x631)+~P12(x632,x631)+P8(x631,x632,x633)+~P3(x631,f5(x632,x633))
% 0.52/0.62 [62]P2(x624,x623)+~P4(x624,x621)+~P5(x623,x622)+P2(x621,x622)+P2(x621,x623)+P2(x624,x622)+P2(x621,f7(x622))+P2(x621,f7(x623))+P2(x624,f7(x622))+P2(x624,f7(x623))
% 0.52/0.62 %EqnAxiom
% 0.52/0.62
% 0.52/0.62 %-------------------------------------------
% 0.52/0.62 cnf(70,plain,
% 0.52/0.62 ($false),
% 0.52/0.62 inference(scs_inference,[],[6,2]),
% 0.52/0.62 ['proof']).
% 0.52/0.62 % SZS output end Proof
% 0.52/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------