%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO234+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 : n020.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 06:04:49 EDT 2024
% Result : Theorem 2.85s 2.93s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO234+3 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 21 07:03:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 2.85/2.93 %-------------------------------------------
% 2.85/2.93 % File :CSE---1.7
% 2.85/2.93 % Problem :theBenchmark
% 2.85/2.93 % Transform :cnf
% 2.85/2.93 % Format :tptp:raw
% 2.85/2.93 % Command :java -jar mcs_scs.jar %d %s
% 2.85/2.93
% 2.85/2.93 % Result :Theorem 2.320000s
% 2.85/2.93 % Output :CNFRefutation 2.320000s
% 2.85/2.93 %-------------------------------------------
% 2.85/2.93 %------------------------------------------------------------------------------
% 2.85/2.93 % File : GEO234+3 : TPTP v8.2.0. Released v4.0.0.
% 2.85/2.93 % Domain : Geometry (Constructive)
% 2.85/2.93 % Problem : Unequally directed lines
% 2.85/2.93 % Version : [vPl98] axioms.
% 2.85/2.93 % English :
% 2.85/2.93
% 2.85/2.93 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 2.85/2.93 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 2.85/2.93 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 2.85/2.93 % Source : [Rat07]
% 2.85/2.93 % Names : Therorem 3.8 [vPl98]
% 2.85/2.93
% 2.85/2.93 % Status : Theorem
% 2.85/2.93 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0
% 2.85/2.93 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 2.85/2.93 % Number of atoms : 112 ( 0 equ)
% 2.85/2.93 % Maximal formula atoms : 10 ( 3 avg)
% 2.85/2.93 % Number of connectives : 87 ( 12 ~; 23 |; 24 &)
% 2.85/2.93 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 2.85/2.93 % Maximal formula depth : 13 ( 5 avg)
% 2.85/2.93 % Maximal term depth : 3 ( 1 avg)
% 2.85/2.93 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 2.85/2.93 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 2.85/2.93 % Number of variables : 84 ( 84 !; 0 ?)
% 2.85/2.93 % SPC : FOF_THM_RFO_NEQ
% 2.85/2.93
% 2.85/2.93 % Comments :
% 2.85/2.93 %------------------------------------------------------------------------------
% 2.85/2.93 include('Axioms/GEO009+0.ax').
% 2.85/2.93 %------------------------------------------------------------------------------
% 2.85/2.93 fof(con,conjecture,
% 2.85/2.93 ! [L,M,N] :
% 2.85/2.93 ( unequally_directed_opposite_lines(L,M)
% 2.85/2.93 => ( unequally_directed_lines(L,N)
% 2.85/2.93 | unequally_directed_opposite_lines(M,N) ) ) ).
% 2.85/2.93
% 2.85/2.93 %------------------------------------------------------------------------------
% 2.85/2.93 %-------------------------------------------
% 2.85/2.93 % Proof found
% 2.85/2.93 % SZS status Theorem for theBenchmark
% 2.85/2.93 % SZS output start Proof
% 2.85/2.94 %ClaNum:69(EqnAxiom:0)
% 2.85/2.94 %VarNum:311(SingletonVarNum:129)
% 2.85/2.94 %MaxLitNum:10
% 2.85/2.94 %MaxfuncDepth:2
% 2.85/2.94 %SharedTerms:6
% 2.85/2.94 %goalClause: 1 4 5
% 2.85/2.94 %singleGoalClaCount:3
% 2.85/2.94 [1]P1(a1,a2)
% 2.85/2.94 [4]~P1(a2,a4)
% 2.85/2.94 [5]~P10(a1,a4)
% 2.85/2.94 [2]P2(x21,x21)
% 2.85/2.94 [8]~P3(x81,x81)
% 2.85/2.94 [9]~P4(x91,x91)
% 2.85/2.94 [12]~P4(x121,f7(x121))
% 2.85/2.94 [6]~P11(x61,x62)
% 2.85/2.94 [7]~P14(x71,x72)
% 2.85/2.94 [3]P2(f3(x31,x32),x31)
% 2.85/2.94 [13]~P5(x131,f3(x132,x131))
% 2.85/2.94 [14]~P15(x141)+P15(f7(x141))
% 2.85/2.94 [15]P12(x151,x152)+P1(x151,x152)
% 2.85/2.94 [16]P2(x161,x162)+P10(x161,x162)
% 2.85/2.94 [18]~P6(x181,x182)+P1(x181,x182)
% 2.85/2.94 [19]~P6(x191,x192)+P10(x191,x192)
% 2.85/2.94 [20]~P16(x201,x202)+P5(x201,x202)
% 2.85/2.94 [26]~P12(x261,x262)+~P1(x261,x262)
% 2.85/2.94 [27]~P2(x271,x272)+~P10(x271,x272)
% 2.85/2.94 [17]P10(x171,x172)+P10(x171,f7(x172))
% 2.85/2.94 [22]~P1(x221,x222)+P10(x221,f7(x222))
% 2.85/2.94 [23]~P16(x231,x232)+P11(x231,f7(x232))
% 2.85/2.94 [24]~P18(x241,x242)+P14(x241,f7(x242))
% 2.85/2.94 [28]P1(x281,x282)+~P10(x281,f7(x282))
% 2.85/2.94 [41]~P3(x411,x412)+~P5(x412,f5(x411,x412))
% 2.85/2.94 [42]~P3(x421,x422)+~P5(x421,f5(x421,x422))
% 2.85/2.94 [60]~P3(x601,x602)+P2(f5(x601,x602),f7(f5(x602,x601)))
% 2.85/2.94 [51]P3(x511,x512)+~P7(x513,x511,x512)
% 2.85/2.94 [52]P13(x521,x522)+~P7(x522,x523,x521)
% 2.85/2.94 [53]P13(x531,x532)+~P7(x532,x531,x533)
% 2.85/2.94 [61]~P7(x611,x612,x613)+P2(x611,f5(x612,x613))
% 2.85/2.94 [33]P11(x331,x332)+~P5(x331,x332)+P16(x331,x332)
% 2.85/2.94 [37]~P1(x371,x372)+~P10(x371,x372)+P6(x371,x372)
% 2.85/2.94 [25]~P17(x252)+~P15(x251)+P15(f3(x251,x252))
% 2.85/2.94 [58]~P10(x581,x582)+~P10(x581,f7(x582))+~P5(f6(x581,x582),x582)
% 2.85/2.94 [59]~P10(x591,x592)+~P10(x591,f7(x592))+~P5(f6(x591,x592),x591)
% 2.85/2.94 [31]~P10(x313,x311)+P10(x311,x312)+P10(x313,x312)
% 2.85/2.94 [35]~P3(x353,x351)+P3(x351,x352)+P3(x353,x352)
% 2.85/2.94 [36]~P4(x363,x361)+P4(x361,x362)+P4(x363,x362)
% 2.85/2.94 [54]~P9(x542,x543,x541)+P16(x541,x542)+P16(x543,x542)
% 2.85/2.94 [55]P11(x551,x552)+P16(x551,x552)+~P9(x552,x553,x551)
% 2.85/2.94 [56]P11(x561,x562)+P16(x561,x562)+~P9(x562,x561,x563)
% 2.85/2.94 [57]~P9(x572,x571,x573)+P11(x571,x572)+P11(x573,x572)
% 2.85/2.94 [64]~P7(x641,x643,x642)+~P7(x641,x644,x643)+P8(x641,x642,x643,x644)
% 2.85/2.94 [65]~P7(x651,x653,x654)+~P7(x651,x652,x653)+P8(x651,x652,x653,x654)
% 2.85/2.94 [66]~P8(x661,x662,x663,x664)+P7(x661,x662,x663)+P7(x661,x664,x663)
% 2.85/2.94 [67]P7(x671,x673,x672)+P7(x671,x672,x673)+~P8(x671,x674,x672,x673)
% 2.85/2.94 [68]P7(x681,x683,x682)+P7(x681,x682,x683)+~P8(x681,x682,x683,x684)
% 2.85/2.94 [69]~P8(x691,x694,x692,x693)+P7(x691,x692,x693)+P7(x691,x692,x694)
% 2.85/2.94 [38]~P17(x382)+~P17(x381)+~P3(x381,x382)+P15(f5(x381,x382))
% 2.85/2.94 [45]~P10(x451,x452)+P14(x451,x452)+P14(x451,f7(x452))+~P10(x451,f7(x452))
% 2.85/2.94 [43]~P10(x431,x433)+P10(x431,x432)+~P10(x431,f7(x433))+P10(x433,f7(x432))
% 2.85/2.94 [44]~P10(x443,x441)+P10(x441,x442)+~P10(x443,f7(x441))+P10(x443,f7(x442))
% 2.85/2.94 [47]~P15(x472)+~P15(x471)+~P10(x471,x472)+~P10(x471,f7(x472))+P17(f6(x471,x472))
% 2.85/2.94 [63]~P3(x632,x633)+~P13(x633,x631)+~P13(x632,x631)+P7(x631,x632,x633)+~P2(x631,f5(x632,x633))
% 2.85/2.94 [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))
% 2.85/2.94 %EqnAxiom
% 2.85/2.94
% 2.85/2.94 %-------------------------------------------
% 2.85/2.94 cnf(70,plain,
% 2.85/2.94 (~P12(a1,a2)),
% 2.85/2.94 inference(scs_inference,[],[1,26])).
% 2.85/2.94 cnf(74,plain,
% 2.85/2.94 (P2(a1,a4)),
% 2.85/2.94 inference(scs_inference,[],[1,4,5,26,15,16])).
% 2.85/2.94 cnf(253,plain,
% 2.85/2.94 (P10(a1,f7(a4))),
% 2.85/2.94 inference(scs_inference,[],[74,27,17])).
% 2.85/2.94 cnf(334,plain,
% 2.85/2.94 (P10(a1,f7(a2))),
% 2.85/2.94 inference(scs_inference,[],[70,22,15])).
% 2.85/2.94 cnf(878,plain,
% 2.85/2.94 (P14(a1,a2)+~P10(a1,a2)),
% 2.85/2.94 inference(scs_inference,[],[5,334,7,31,27,58,59,37,45])).
% 2.85/2.94 cnf(882,plain,
% 2.85/2.94 (~P10(a1,a2)),
% 2.85/2.94 inference(scs_inference,[],[7,878])).
% 2.85/2.94 cnf(1351,plain,
% 2.85/2.94 (~P2(f7(a4),a2)),
% 2.85/2.94 inference(scs_inference,[],[253,882,31,27])).
% 2.85/2.94 cnf(4668,plain,
% 2.85/2.94 (P10(f7(a4),x46681)+P10(a2,x46681)),
% 2.85/2.94 inference(scs_inference,[],[1351,16,31])).
% 2.85/2.94 cnf(4714,plain,
% 2.85/2.94 (P10(a2,f7(a4))),
% 2.85/2.94 inference(scs_inference,[],[2,4668,27])).
% 2.85/2.94 cnf(4715,plain,
% 2.85/2.94 ($false),
% 2.85/2.94 inference(scs_inference,[],[4,4714,28]),
% 2.85/2.94 ['proof']).
% 2.85/2.94 % SZS output end Proof
% 2.85/2.94 % Total time :2.320000s
%------------------------------------------------------------------------------