%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO269+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 : n021.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 06:05:03 EDT 2024
% Result : Theorem 2.35s 2.42s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO269+3 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 06:53:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.50/0.56 start to proof:theBenchmark
% 2.35/2.41 %-------------------------------------------
% 2.35/2.41 % File :CSE---1.7
% 2.35/2.41 % Problem :theBenchmark
% 2.35/2.41 % Transform :cnf
% 2.35/2.41 % Format :tptp:raw
% 2.35/2.41 % Command :java -jar mcs_scs.jar %d %s
% 2.35/2.41
% 2.35/2.41 % Result :Theorem 1.810000s
% 2.35/2.41 % Output :CNFRefutation 1.810000s
% 2.35/2.41 %-------------------------------------------
% 2.35/2.41 %------------------------------------------------------------------------------
% 2.35/2.41 % File : GEO269+3 : TPTP v8.2.0. Released v4.0.0.
% 2.35/2.41 % Domain : Geometry (Constructive)
% 2.35/2.41 % Problem : Equally directed opposite reveresed lines
% 2.35/2.41 % Version : [vPl98] axioms.
% 2.35/2.41 % English :
% 2.35/2.41
% 2.35/2.41 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 2.35/2.41 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 2.35/2.41 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 2.35/2.41 % Source : [Rat07]
% 2.35/2.41 % Names : Theorem 3.13 [vPl98]
% 2.35/2.41
% 2.35/2.41 % Status : Theorem
% 2.35/2.41 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.1, 0.05 v4.0.0
% 2.35/2.41 % Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% 2.35/2.41 % Number of atoms : 110 ( 0 equ)
% 2.35/2.41 % Maximal formula atoms : 10 ( 2 avg)
% 2.35/2.41 % Number of connectives : 85 ( 12 ~; 22 |; 24 &)
% 2.35/2.41 % ( 10 <=>; 17 =>; 0 <=; 0 <~>)
% 2.35/2.41 % Maximal formula depth : 13 ( 5 avg)
% 2.35/2.41 % Maximal term depth : 3 ( 1 avg)
% 2.35/2.41 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 2.35/2.41 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 2.35/2.41 % Number of variables : 82 ( 82 !; 0 ?)
% 2.35/2.41 % SPC : FOF_THM_RFO_NEQ
% 2.35/2.41
% 2.35/2.41 % Comments :
% 2.35/2.41 %------------------------------------------------------------------------------
% 2.35/2.41 include('Axioms/GEO009+0.ax').
% 2.35/2.42 %------------------------------------------------------------------------------
% 2.35/2.42 fof(con,conjecture,
% 2.35/2.42 ! [L] : equally_directed_opposite_lines(L,reverse_line(L)) ).
% 2.35/2.42
% 2.35/2.42 %------------------------------------------------------------------------------
% 2.35/2.42 %-------------------------------------------
% 2.35/2.42 % Proof found
% 2.35/2.42 % SZS status Theorem for theBenchmark
% 2.35/2.42 % SZS output start Proof
% 2.35/2.42 %ClaNum:67(EqnAxiom:0)
% 2.35/2.42 %VarNum:311(SingletonVarNum:129)
% 2.35/2.42 %MaxLitNum:10
% 2.35/2.42 %MaxfuncDepth:2
% 2.35/2.42 %SharedTerms:3
% 2.35/2.42 %goalClause: 7
% 2.35/2.42 %singleGoalClaCount:1
% 2.35/2.42 [7]~P10(a2,f5(a2))
% 2.35/2.42 [1]P1(x11,x11)
% 2.35/2.42 [5]~P2(x51,x51)
% 2.35/2.42 [6]~P3(x61,x61)
% 2.35/2.42 [10]~P3(x101,f5(x101))
% 2.35/2.42 [3]~P9(x31,x32)
% 2.35/2.42 [4]~P12(x41,x42)
% 2.35/2.42 [2]P1(f1(x21,x22),x21)
% 2.35/2.42 [11]~P4(x111,f1(x112,x111))
% 2.35/2.42 [12]~P13(x121)+P13(f5(x121))
% 2.35/2.42 [13]P10(x131,x132)+P14(x131,x132)
% 2.35/2.42 [14]P1(x141,x142)+P15(x141,x142)
% 2.35/2.42 [16]~P5(x161,x162)+P14(x161,x162)
% 2.35/2.42 [17]~P5(x171,x172)+P15(x171,x172)
% 2.35/2.42 [18]~P16(x181,x182)+P4(x181,x182)
% 2.35/2.42 [24]~P10(x241,x242)+~P14(x241,x242)
% 2.35/2.42 [25]~P1(x251,x252)+~P15(x251,x252)
% 2.35/2.42 [15]P15(x151,x152)+P15(x151,f5(x152))
% 2.35/2.42 [20]~P14(x201,x202)+P15(x201,f5(x202))
% 2.35/2.42 [21]~P16(x211,x212)+P9(x211,f5(x212))
% 2.35/2.42 [22]~P18(x221,x222)+P12(x221,f5(x222))
% 2.35/2.42 [26]P14(x261,x262)+~P15(x261,f5(x262))
% 2.35/2.42 [39]~P2(x391,x392)+~P4(x392,f3(x391,x392))
% 2.35/2.42 [40]~P2(x401,x402)+~P4(x401,f3(x401,x402))
% 2.35/2.42 [58]~P2(x581,x582)+P1(f3(x581,x582),f5(f3(x582,x581)))
% 2.35/2.42 [49]P2(x491,x492)+~P6(x493,x491,x492)
% 2.35/2.42 [50]P11(x501,x502)+~P6(x502,x503,x501)
% 2.35/2.42 [51]P11(x511,x512)+~P6(x512,x511,x513)
% 2.35/2.42 [59]~P6(x591,x592,x593)+P1(x591,f3(x592,x593))
% 2.35/2.42 [31]P9(x311,x312)+~P4(x311,x312)+P16(x311,x312)
% 2.35/2.42 [35]~P14(x351,x352)+~P15(x351,x352)+P5(x351,x352)
% 2.35/2.42 [23]~P17(x232)+~P13(x231)+P13(f1(x231,x232))
% 2.35/2.42 [56]~P15(x561,x562)+~P15(x561,f5(x562))+~P4(f4(x561,x562),x562)
% 2.35/2.42 [57]~P15(x571,x572)+~P15(x571,f5(x572))+~P4(f4(x571,x572),x571)
% 2.35/2.42 [29]~P15(x293,x291)+P15(x291,x292)+P15(x293,x292)
% 2.35/2.42 [33]~P2(x333,x331)+P2(x331,x332)+P2(x333,x332)
% 2.35/2.42 [34]~P3(x343,x341)+P3(x341,x342)+P3(x343,x342)
% 2.35/2.42 [52]~P8(x522,x523,x521)+P16(x521,x522)+P16(x523,x522)
% 2.35/2.42 [53]P9(x531,x532)+P16(x531,x532)+~P8(x532,x533,x531)
% 2.35/2.42 [54]P9(x541,x542)+P16(x541,x542)+~P8(x542,x541,x543)
% 2.35/2.42 [55]~P8(x552,x551,x553)+P9(x551,x552)+P9(x553,x552)
% 2.35/2.42 [62]~P6(x621,x623,x622)+~P6(x621,x624,x623)+P7(x621,x622,x623,x624)
% 2.35/2.42 [63]~P6(x631,x633,x634)+~P6(x631,x632,x633)+P7(x631,x632,x633,x634)
% 2.35/2.42 [64]~P7(x641,x642,x643,x644)+P6(x641,x642,x643)+P6(x641,x644,x643)
% 2.35/2.42 [65]P6(x651,x653,x652)+P6(x651,x652,x653)+~P7(x651,x654,x652,x653)
% 2.35/2.42 [66]P6(x661,x663,x662)+P6(x661,x662,x663)+~P7(x661,x662,x663,x664)
% 2.35/2.42 [67]~P7(x671,x674,x672,x673)+P6(x671,x672,x673)+P6(x671,x672,x674)
% 2.35/2.42 [36]~P17(x362)+~P17(x361)+~P2(x361,x362)+P13(f3(x361,x362))
% 2.35/2.42 [43]~P15(x431,x432)+P12(x431,x432)+P12(x431,f5(x432))+~P15(x431,f5(x432))
% 2.35/2.42 [41]~P15(x411,x413)+P15(x411,x412)+~P15(x411,f5(x413))+P15(x413,f5(x412))
% 2.35/2.42 [42]~P15(x423,x421)+P15(x421,x422)+~P15(x423,f5(x421))+P15(x423,f5(x422))
% 2.35/2.42 [45]~P13(x452)+~P13(x451)+~P15(x451,x452)+~P15(x451,f5(x452))+P17(f4(x451,x452))
% 2.35/2.42 [61]~P2(x612,x613)+~P11(x613,x611)+~P11(x612,x611)+P6(x611,x612,x613)+~P1(x611,f3(x612,x613))
% 2.35/2.42 [60]P9(x604,x603)+~P2(x604,x601)+~P3(x603,x602)+P9(x601,x602)+P9(x601,x603)+P9(x604,x602)+P9(x601,f5(x602))+P9(x601,f5(x603))+P9(x604,f5(x602))+P9(x604,f5(x603))
% 2.35/2.42 %EqnAxiom
% 2.35/2.42
% 2.35/2.42 %-------------------------------------------
% 2.35/2.42 cnf(82,plain,
% 2.35/2.42 (P12(x821,x822)+~P15(x821,x822)+~P15(x821,f5(x822))),
% 2.35/2.42 inference(scs_inference,[],[4,5,11,3,18,49,21,64,65,66,43])).
% 2.35/2.42 cnf(84,plain,
% 2.35/2.42 (P15(a2,f5(f5(a2)))),
% 2.35/2.42 inference(scs_inference,[],[7,13,20])).
% 2.35/2.42 cnf(472,plain,
% 2.35/2.42 (P15(f1(x4721,x4722),f5(x4721))),
% 2.35/2.42 inference(scs_inference,[],[2,15,25])).
% 2.35/2.42 cnf(473,plain,
% 2.35/2.42 (~P1(f1(x4731,x4732),f5(x4731))),
% 2.35/2.42 inference(scs_inference,[],[472,25])).
% 2.35/2.42 cnf(4197,plain,
% 2.35/2.42 (~P15(f1(x41971,x41972),x41971)),
% 2.35/2.42 inference(scs_inference,[],[473,4,14,82])).
% 2.35/2.42 cnf(4199,plain,
% 2.35/2.42 (~P15(f1(x41991,x41992),x41991)),
% 2.35/2.42 inference(rename_variables,[],[4197])).
% 2.35/2.42 cnf(4202,plain,
% 2.35/2.42 (~P15(f1(x42021,x42022),x42021)),
% 2.35/2.42 inference(rename_variables,[],[4197])).
% 2.35/2.42 cnf(4208,plain,
% 2.35/2.42 (P15(f5(x42081),x42081)),
% 2.35/2.42 inference(scs_inference,[],[472,4197,4199,4202,15,20,13,25,29])).
% 2.35/2.42 cnf(4211,plain,
% 2.35/2.42 (~P15(f5(x42111),f5(x42111))),
% 2.35/2.42 inference(scs_inference,[],[472,4197,4199,4202,4,15,20,13,25,29,82])).
% 2.35/2.42 cnf(4241,plain,
% 2.35/2.42 (~P15(a2,f5(a2))+P15(a2,a2)),
% 2.35/2.42 inference(scs_inference,[],[84,4208,4211,20,13,25,16,57,56,41])).
% 2.35/2.42 cnf(4307,plain,
% 2.35/2.42 (~P15(a2,f5(a2))),
% 2.35/2.42 inference(scs_inference,[],[1,4241,25])).
% 2.35/2.42 cnf(4318,plain,
% 2.35/2.42 ($false),
% 2.35/2.42 inference(scs_inference,[],[1,4307,14,15,20,17,13,25]),
% 2.35/2.42 ['proof']).
% 2.35/2.43 % SZS output end Proof
% 2.35/2.43 % Total time :1.810000s
%------------------------------------------------------------------------------