%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO267+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 : 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 : Mon Jun 24 06:05:02 EDT 2024
% Result : Theorem 0.51s 0.71s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO267+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n024.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 09:01:53 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.17/0.55 start to proof:theBenchmark
% 0.51/0.70 %-------------------------------------------
% 0.51/0.70 % File :CSE---1.7
% 0.51/0.70 % Problem :theBenchmark
% 0.51/0.70 % Transform :cnf
% 0.51/0.70 % Format :tptp:raw
% 0.51/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.70
% 0.51/0.70 % Result :Theorem 0.100000s
% 0.51/0.70 % Output :CNFRefutation 0.100000s
% 0.51/0.70 %-------------------------------------------
% 0.51/0.70 %------------------------------------------------------------------------------
% 0.51/0.70 % File : GEO267+3 : TPTP v8.2.0. Released v4.0.0.
% 0.51/0.70 % Domain : Geometry (Constructive)
% 0.51/0.70 % Problem : Possible unequally directed opposite lines
% 0.51/0.70 % Version : [vPl98] axioms.
% 0.51/0.70 % English :
% 0.51/0.70
% 0.51/0.70 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.51/0.70 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.70 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.51/0.70 % Source : [Rat07]
% 0.51/0.70 % Names : Theorem 3.11 [vPl98]
% 0.51/0.71
% 0.51/0.71 % Status : Theorem
% 0.51/0.71 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 0.51/0.71 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.51/0.71 % Number of atoms : 112 ( 0 equ)
% 0.51/0.71 % Maximal formula atoms : 10 ( 3 avg)
% 0.51/0.71 % Number of connectives : 87 ( 12 ~; 23 |; 24 &)
% 0.51/0.71 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.51/0.71 % Maximal formula depth : 13 ( 5 avg)
% 0.51/0.71 % Maximal term depth : 3 ( 1 avg)
% 0.51/0.71 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.51/0.71 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.51/0.71 % Number of variables : 84 ( 84 !; 0 ?)
% 0.51/0.71 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.71
% 0.51/0.71 % Comments :
% 0.51/0.71 %------------------------------------------------------------------------------
% 0.51/0.71 include('Axioms/GEO009+0.ax').
% 0.51/0.71 %------------------------------------------------------------------------------
% 0.51/0.71 fof(con,conjecture,
% 0.51/0.71 ! [L,M,N] :
% 0.51/0.71 ( unequally_directed_opposite_lines(L,M)
% 0.51/0.71 => ( unequally_directed_opposite_lines(M,N)
% 0.51/0.71 | unequally_directed_lines(M,N) ) ) ).
% 0.51/0.71
% 0.51/0.71 %------------------------------------------------------------------------------
% 0.51/0.71 %-------------------------------------------
% 0.51/0.71 % Proof found
% 0.51/0.71 % SZS status Theorem for theBenchmark
% 0.51/0.71 % SZS output start Proof
% 0.51/0.71 %ClaNum:69(EqnAxiom:0)
% 0.51/0.71 %VarNum:311(SingletonVarNum:129)
% 0.51/0.71 %MaxLitNum:10
% 0.51/0.71 %MaxfuncDepth:2
% 0.51/0.71 %SharedTerms:6
% 0.51/0.71 %goalClause: 1 4 5
% 0.51/0.71 %singleGoalClaCount:3
% 0.51/0.71 [1]P1(a1,a2)
% 0.51/0.71 [4]~P1(a2,a4)
% 0.51/0.71 [5]~P10(a2,a4)
% 0.51/0.71 [2]P2(x21,x21)
% 0.51/0.71 [8]~P3(x81,x81)
% 0.51/0.71 [9]~P4(x91,x91)
% 0.51/0.71 [12]~P4(x121,f7(x121))
% 0.51/0.71 [6]~P11(x61,x62)
% 0.51/0.71 [7]~P14(x71,x72)
% 0.51/0.71 [3]P2(f3(x31,x32),x31)
% 0.51/0.71 [13]~P5(x131,f3(x132,x131))
% 0.51/0.71 [14]~P15(x141)+P15(f7(x141))
% 0.51/0.71 [15]P12(x151,x152)+P1(x151,x152)
% 0.51/0.71 [16]P2(x161,x162)+P10(x161,x162)
% 0.51/0.71 [18]~P6(x181,x182)+P1(x181,x182)
% 0.51/0.71 [19]~P6(x191,x192)+P10(x191,x192)
% 0.51/0.71 [20]~P16(x201,x202)+P5(x201,x202)
% 0.51/0.71 [26]~P12(x261,x262)+~P1(x261,x262)
% 0.51/0.71 [27]~P2(x271,x272)+~P10(x271,x272)
% 0.51/0.71 [17]P10(x171,x172)+P10(x171,f7(x172))
% 0.51/0.71 [22]~P1(x221,x222)+P10(x221,f7(x222))
% 0.51/0.71 [23]~P16(x231,x232)+P11(x231,f7(x232))
% 0.51/0.71 [24]~P18(x241,x242)+P14(x241,f7(x242))
% 0.51/0.71 [28]P1(x281,x282)+~P10(x281,f7(x282))
% 0.51/0.71 [41]~P3(x411,x412)+~P5(x412,f5(x411,x412))
% 0.51/0.71 [42]~P3(x421,x422)+~P5(x421,f5(x421,x422))
% 0.51/0.71 [60]~P3(x601,x602)+P2(f5(x601,x602),f7(f5(x602,x601)))
% 0.51/0.71 [51]P3(x511,x512)+~P7(x513,x511,x512)
% 0.51/0.71 [52]P13(x521,x522)+~P7(x522,x523,x521)
% 0.51/0.71 [53]P13(x531,x532)+~P7(x532,x531,x533)
% 0.51/0.71 [61]~P7(x611,x612,x613)+P2(x611,f5(x612,x613))
% 0.51/0.71 [33]P11(x331,x332)+~P5(x331,x332)+P16(x331,x332)
% 0.51/0.71 [37]~P1(x371,x372)+~P10(x371,x372)+P6(x371,x372)
% 0.51/0.71 [25]~P17(x252)+~P15(x251)+P15(f3(x251,x252))
% 0.51/0.71 [58]~P10(x581,x582)+~P10(x581,f7(x582))+~P5(f6(x581,x582),x582)
% 0.51/0.71 [59]~P10(x591,x592)+~P10(x591,f7(x592))+~P5(f6(x591,x592),x591)
% 0.51/0.71 [31]~P10(x313,x311)+P10(x311,x312)+P10(x313,x312)
% 0.51/0.71 [35]~P3(x353,x351)+P3(x351,x352)+P3(x353,x352)
% 0.51/0.71 [36]~P4(x363,x361)+P4(x361,x362)+P4(x363,x362)
% 0.51/0.71 [54]~P9(x542,x543,x541)+P16(x541,x542)+P16(x543,x542)
% 0.51/0.71 [55]P11(x551,x552)+P16(x551,x552)+~P9(x552,x553,x551)
% 0.51/0.71 [56]P11(x561,x562)+P16(x561,x562)+~P9(x562,x561,x563)
% 0.51/0.71 [57]~P9(x572,x571,x573)+P11(x571,x572)+P11(x573,x572)
% 0.51/0.71 [64]~P7(x641,x643,x642)+~P7(x641,x644,x643)+P8(x641,x642,x643,x644)
% 0.51/0.71 [65]~P7(x651,x653,x654)+~P7(x651,x652,x653)+P8(x651,x652,x653,x654)
% 0.51/0.71 [66]~P8(x661,x662,x663,x664)+P7(x661,x662,x663)+P7(x661,x664,x663)
% 0.51/0.71 [67]P7(x671,x673,x672)+P7(x671,x672,x673)+~P8(x671,x674,x672,x673)
% 0.51/0.71 [68]P7(x681,x683,x682)+P7(x681,x682,x683)+~P8(x681,x682,x683,x684)
% 0.51/0.71 [69]~P8(x691,x694,x692,x693)+P7(x691,x692,x693)+P7(x691,x692,x694)
% 0.51/0.71 [38]~P17(x382)+~P17(x381)+~P3(x381,x382)+P15(f5(x381,x382))
% 0.51/0.71 [45]~P10(x451,x452)+P14(x451,x452)+P14(x451,f7(x452))+~P10(x451,f7(x452))
% 0.51/0.71 [43]~P10(x431,x433)+P10(x431,x432)+~P10(x431,f7(x433))+P10(x433,f7(x432))
% 0.51/0.71 [44]~P10(x443,x441)+P10(x441,x442)+~P10(x443,f7(x441))+P10(x443,f7(x442))
% 0.51/0.71 [47]~P15(x472)+~P15(x471)+~P10(x471,x472)+~P10(x471,f7(x472))+P17(f6(x471,x472))
% 0.51/0.71 [63]~P3(x632,x633)+~P13(x633,x631)+~P13(x632,x631)+P7(x631,x632,x633)+~P2(x631,f5(x632,x633))
% 0.51/0.71 [62]P11(x624,x623)+~P3(x624,x621)+~P4(x623,x622)+P11(x621,x622)+P11(x621,x623)+P11(x624,x622)+P11(x621,f7(x622))+P11(x621,f7(x623))+P11(x624,f7(x622))+P11(x624,f7(x623))
% 0.51/0.71 %EqnAxiom
% 0.51/0.71
% 0.51/0.71 %-------------------------------------------
% 0.51/0.71 cnf(74,plain,
% 0.51/0.71 (P2(a2,a4)),
% 0.51/0.71 inference(scs_inference,[],[1,4,5,26,15,16])).
% 0.51/0.71 cnf(251,plain,
% 0.51/0.71 (P10(a2,f7(a4))),
% 0.51/0.71 inference(scs_inference,[],[74,27,17])).
% 0.51/0.71 cnf(254,plain,
% 0.51/0.71 ($false),
% 0.51/0.71 inference(scs_inference,[],[4,251,27,28]),
% 0.51/0.71 ['proof']).
% 0.51/0.71 % SZS output end Proof
% 0.51/0.71 % Total time :0.100000s
%------------------------------------------------------------------------------