%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO265+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 06:05:02 EDT 2024
% Result : Theorem 0.13s 0.51s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : GEO265+3 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.08 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri Jun 21 07:13:53 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.13/0.44 start to proof:theBenchmark
% 0.13/0.50 %-------------------------------------------
% 0.13/0.50 % File :CSE---1.7
% 0.13/0.50 % Problem :theBenchmark
% 0.13/0.50 % Transform :cnf
% 0.13/0.50 % Format :tptp:raw
% 0.13/0.50 % Command :java -jar mcs_scs.jar %d %s
% 0.13/0.50
% 0.13/0.50 % Result :Theorem 0.040000s
% 0.13/0.50 % Output :CNFRefutation 0.040000s
% 0.13/0.50 %-------------------------------------------
% 0.13/0.50 %------------------------------------------------------------------------------
% 0.13/0.50 % File : GEO265+3 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.50 % Domain : Geometry (Constructive)
% 0.13/0.50 % Problem : Equally directed opposite and reversed lines
% 0.13/0.50 % Version : [vPl98] axioms.
% 0.13/0.50 % English :
% 0.13/0.50
% 0.13/0.50 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.13/0.50 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.13/0.51 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.13/0.51 % Source : [Rat07]
% 0.13/0.51 % Names : Theorem 3.9 [vPl98]
% 0.13/0.51
% 0.13/0.51 % Status : Theorem
% 0.13/0.51 % Rating : 0.06 v8.2.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 0.13/0.51 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.13/0.51 % Number of atoms : 111 ( 0 equ)
% 0.13/0.51 % Maximal formula atoms : 10 ( 3 avg)
% 0.13/0.51 % Number of connectives : 86 ( 12 ~; 22 |; 24 &)
% 0.13/0.51 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.13/0.51 % Maximal formula depth : 13 ( 5 avg)
% 0.13/0.51 % Maximal term depth : 3 ( 1 avg)
% 0.13/0.51 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.13/0.51 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.13/0.51 % Number of variables : 83 ( 83 !; 0 ?)
% 0.13/0.51 % SPC : FOF_THM_RFO_NEQ
% 0.13/0.51
% 0.13/0.51 % Comments :
% 0.13/0.51 %------------------------------------------------------------------------------
% 0.13/0.51 include('Axioms/GEO009+0.ax').
% 0.13/0.51 %------------------------------------------------------------------------------
% 0.13/0.51 fof(con,conjecture,
% 0.13/0.51 ! [L,M] :
% 0.13/0.51 ( equally_directed_lines(L,reverse_line(M))
% 0.13/0.51 => equally_directed_opposite_lines(L,M) ) ).
% 0.13/0.51
% 0.13/0.51 %------------------------------------------------------------------------------
% 0.13/0.51 %-------------------------------------------
% 0.13/0.51 % Proof found
% 0.13/0.51 % SZS status Theorem for theBenchmark
% 0.13/0.51 % SZS output start Proof
% 0.13/0.51 %ClaNum:68(EqnAxiom:0)
% 0.13/0.51 %VarNum:311(SingletonVarNum:129)
% 0.13/0.51 %MaxLitNum:10
% 0.13/0.51 %MaxfuncDepth:2
% 0.13/0.51 %SharedTerms:5
% 0.13/0.51 %goalClause: 2 4
% 0.13/0.51 %singleGoalClaCount:2
% 0.13/0.51 [4]~P9(a1,a2)
% 0.13/0.51 [2]P1(a1,f3(a2))
% 0.13/0.51 [1]P1(x11,x11)
% 0.13/0.51 [7]~P2(x71,x71)
% 0.13/0.51 [8]~P3(x81,x81)
% 0.13/0.51 [11]~P3(x111,f3(x111))
% 0.13/0.51 [5]~P10(x51,x52)
% 0.13/0.51 [6]~P12(x61,x62)
% 0.13/0.51 [3]P1(f4(x31,x32),x31)
% 0.13/0.51 [12]~P4(x121,f4(x122,x121))
% 0.13/0.51 [13]~P13(x131)+P13(f3(x131))
% 0.13/0.51 [14]P9(x141,x142)+P14(x141,x142)
% 0.13/0.51 [15]P1(x151,x152)+P15(x151,x152)
% 0.13/0.51 [17]~P5(x171,x172)+P14(x171,x172)
% 0.13/0.51 [18]~P5(x181,x182)+P15(x181,x182)
% 0.13/0.51 [19]~P16(x191,x192)+P4(x191,x192)
% 0.13/0.51 [25]~P9(x251,x252)+~P14(x251,x252)
% 0.13/0.51 [26]~P1(x261,x262)+~P15(x261,x262)
% 0.13/0.51 [16]P15(x161,x162)+P15(x161,f3(x162))
% 0.13/0.51 [21]~P14(x211,x212)+P15(x211,f3(x212))
% 0.13/0.51 [22]~P16(x221,x222)+P10(x221,f3(x222))
% 0.13/0.51 [23]~P18(x231,x232)+P12(x231,f3(x232))
% 0.13/0.51 [27]P14(x271,x272)+~P15(x271,f3(x272))
% 0.13/0.51 [40]~P2(x401,x402)+~P4(x402,f5(x401,x402))
% 0.13/0.51 [41]~P2(x411,x412)+~P4(x411,f5(x411,x412))
% 0.13/0.51 [59]~P2(x591,x592)+P1(f5(x591,x592),f3(f5(x592,x591)))
% 0.13/0.51 [50]P2(x501,x502)+~P6(x503,x501,x502)
% 0.13/0.51 [51]P11(x511,x512)+~P6(x512,x513,x511)
% 0.13/0.51 [52]P11(x521,x522)+~P6(x522,x521,x523)
% 0.13/0.51 [60]~P6(x601,x602,x603)+P1(x601,f5(x602,x603))
% 0.13/0.51 [32]P10(x321,x322)+~P4(x321,x322)+P16(x321,x322)
% 0.13/0.51 [36]~P14(x361,x362)+~P15(x361,x362)+P5(x361,x362)
% 0.13/0.51 [24]~P17(x242)+~P13(x241)+P13(f4(x241,x242))
% 0.13/0.51 [57]~P15(x571,x572)+~P15(x571,f3(x572))+~P4(f6(x571,x572),x572)
% 0.13/0.51 [58]~P15(x581,x582)+~P15(x581,f3(x582))+~P4(f6(x581,x582),x581)
% 0.13/0.51 [30]~P15(x303,x301)+P15(x301,x302)+P15(x303,x302)
% 0.13/0.51 [34]~P2(x343,x341)+P2(x341,x342)+P2(x343,x342)
% 0.13/0.51 [35]~P3(x353,x351)+P3(x351,x352)+P3(x353,x352)
% 0.13/0.51 [53]~P8(x532,x533,x531)+P16(x531,x532)+P16(x533,x532)
% 0.13/0.51 [54]P10(x541,x542)+P16(x541,x542)+~P8(x542,x543,x541)
% 0.13/0.51 [55]P10(x551,x552)+P16(x551,x552)+~P8(x552,x551,x553)
% 0.13/0.51 [56]~P8(x562,x561,x563)+P10(x561,x562)+P10(x563,x562)
% 0.13/0.51 [63]~P6(x631,x633,x632)+~P6(x631,x634,x633)+P7(x631,x632,x633,x634)
% 0.13/0.51 [64]~P6(x641,x643,x644)+~P6(x641,x642,x643)+P7(x641,x642,x643,x644)
% 0.13/0.51 [65]~P7(x651,x652,x653,x654)+P6(x651,x652,x653)+P6(x651,x654,x653)
% 0.13/0.51 [66]P6(x661,x663,x662)+P6(x661,x662,x663)+~P7(x661,x664,x662,x663)
% 0.13/0.51 [67]P6(x671,x673,x672)+P6(x671,x672,x673)+~P7(x671,x672,x673,x674)
% 0.13/0.51 [68]~P7(x681,x684,x682,x683)+P6(x681,x682,x683)+P6(x681,x682,x684)
% 0.13/0.51 [37]~P17(x372)+~P17(x371)+~P2(x371,x372)+P13(f5(x371,x372))
% 0.13/0.51 [44]~P15(x441,x442)+P12(x441,x442)+P12(x441,f3(x442))+~P15(x441,f3(x442))
% 0.13/0.51 [42]~P15(x421,x423)+P15(x421,x422)+~P15(x421,f3(x423))+P15(x423,f3(x422))
% 0.13/0.51 [43]~P15(x433,x431)+P15(x431,x432)+~P15(x433,f3(x431))+P15(x433,f3(x432))
% 0.13/0.51 [46]~P13(x462)+~P13(x461)+~P15(x461,x462)+~P15(x461,f3(x462))+P17(f6(x461,x462))
% 0.13/0.51 [62]~P2(x622,x623)+~P11(x623,x621)+~P11(x622,x621)+P6(x621,x622,x623)+~P1(x621,f5(x622,x623))
% 0.13/0.51 [61]P10(x614,x613)+~P2(x614,x611)+~P3(x613,x612)+P10(x611,x612)+P10(x611,x613)+P10(x614,x612)+P10(x611,f3(x612))+P10(x611,f3(x613))+P10(x614,f3(x612))+P10(x614,f3(x613))
% 0.13/0.51 %EqnAxiom
% 0.13/0.51
% 0.13/0.51 %-------------------------------------------
% 0.13/0.51 cnf(238,plain,
% 0.13/0.51 (P15(a1,f3(a2))),
% 0.13/0.51 inference(scs_inference,[],[4,14,21])).
% 0.13/0.51 cnf(239,plain,
% 0.13/0.51 ($false),
% 0.13/0.51 inference(scs_inference,[],[2,238,26]),
% 0.13/0.51 ['proof']).
% 0.13/0.51 % SZS output end Proof
% 0.13/0.51 % Total time :0.040000s
%------------------------------------------------------------------------------