TSTP Solution File: GEO248+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO248+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n027.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 22:44:01 EDT 2023
% Result : Theorem 0.53s 0.68s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO248+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 19:49:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.63 start to proof:theBenchmark
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 % File :CSE---1.6
% 0.53/0.68 % Problem :theBenchmark
% 0.53/0.68 % Transform :cnf
% 0.53/0.68 % Format :tptp:raw
% 0.53/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.68
% 0.53/0.68 % Result :Theorem 0.000000s
% 0.53/0.68 % Output :CNFRefutation 0.000000s
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 %------------------------------------------------------------------------------
% 0.53/0.68 % File : GEO248+3 : TPTP v8.1.2. Released v4.0.0.
% 0.53/0.68 % Domain : Geometry (Constructive)
% 0.53/0.68 % Problem : A point in each region formed by parallel lines
% 0.53/0.68 % Version : [vPl98] axioms.
% 0.53/0.68 % English :
% 0.53/0.68
% 0.53/0.68 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.53/0.68 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.53/0.68 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.53/0.68 % Source : [Rat07]
% 0.53/0.68 % Names : Theorem 5.9.(i) [vPl98]
% 0.53/0.68
% 0.53/0.68 % Status : Theorem
% 0.53/0.68 % 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, 0.08 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, 0.11 v4.0.0
% 0.53/0.68 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.53/0.68 % Number of atoms : 112 ( 0 equ)
% 0.53/0.68 % Maximal formula atoms : 10 ( 3 avg)
% 0.53/0.68 % Number of connectives : 87 ( 12 ~; 22 |; 25 &)
% 0.53/0.68 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.53/0.68 % Maximal formula depth : 13 ( 5 avg)
% 0.53/0.68 % Maximal term depth : 3 ( 1 avg)
% 0.53/0.68 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.53/0.68 % Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% 0.53/0.68 % Number of variables : 84 ( 84 !; 0 ?)
% 0.53/0.68 % SPC : FOF_THM_RFO_NEQ
% 0.53/0.68
% 0.53/0.68 % Comments :
% 0.53/0.68 %------------------------------------------------------------------------------
% 0.53/0.68 include('Axioms/GEO009+0.ax').
% 0.53/0.68 %------------------------------------------------------------------------------
% 0.53/0.68 fof(con,conjecture,
% 0.53/0.68 ! [A,B,L] :
% 0.53/0.68 ( ( apart_point_and_line(A,L)
% 0.53/0.68 & incident_point_and_line(B,parallel_lines(L,A)) )
% 0.53/0.68 => apart_point_and_line(B,L) ) ).
% 0.53/0.68
% 0.53/0.68 %------------------------------------------------------------------------------
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 % Proof found
% 0.53/0.68 % SZS status Theorem for theBenchmark
% 0.53/0.68 % SZS output start Proof
% 0.53/0.68 %ClaNum:69(EqnAxiom:0)
% 0.53/0.68 %VarNum:311(SingletonVarNum:129)
% 0.53/0.68 %MaxLitNum:10
% 0.53/0.68 %MaxfuncDepth:2
% 0.53/0.68 %SharedTerms:7
% 0.53/0.68 %goalClause: 1 3 5
% 0.53/0.68 %singleGoalClaCount:3
% 0.53/0.68 [1]P1(a1,a2)
% 0.53/0.68 [5]~P1(a3,a2)
% 0.53/0.68 [3]P9(a3,f4(a2,a1))
% 0.53/0.68 [2]P2(x21,x21)
% 0.53/0.68 [8]~P3(x81,x81)
% 0.53/0.68 [9]~P4(x91,x91)
% 0.53/0.68 [12]~P4(x121,f8(x121))
% 0.53/0.68 [6]~P11(x61,x62)
% 0.53/0.68 [7]~P12(x71,x72)
% 0.53/0.68 [4]P2(f7(x41,x42),x41)
% 0.53/0.68 [13]~P1(x131,f7(x132,x131))
% 0.53/0.68 [14]~P13(x141)+P13(f8(x141))
% 0.53/0.68 [15]P10(x151,x152)+P14(x151,x152)
% 0.53/0.68 [16]P2(x161,x162)+P15(x161,x162)
% 0.53/0.68 [18]~P5(x181,x182)+P14(x181,x182)
% 0.53/0.68 [19]~P5(x191,x192)+P15(x191,x192)
% 0.53/0.68 [20]~P16(x201,x202)+P1(x201,x202)
% 0.53/0.68 [26]~P10(x261,x262)+~P14(x261,x262)
% 0.53/0.68 [27]~P2(x271,x272)+~P15(x271,x272)
% 0.53/0.68 [17]P15(x171,x172)+P15(x171,f8(x172))
% 0.53/0.68 [22]~P14(x221,x222)+P15(x221,f8(x222))
% 0.53/0.68 [23]~P16(x231,x232)+P11(x231,f8(x232))
% 0.53/0.68 [24]~P18(x241,x242)+P12(x241,f8(x242))
% 0.53/0.68 [28]P14(x281,x282)+~P15(x281,f8(x282))
% 0.53/0.68 [41]~P3(x411,x412)+~P1(x412,f5(x411,x412))
% 0.53/0.68 [42]~P3(x421,x422)+~P1(x421,f5(x421,x422))
% 0.53/0.68 [60]~P3(x601,x602)+P2(f5(x601,x602),f8(f5(x602,x601)))
% 0.53/0.68 [51]P3(x511,x512)+~P6(x513,x511,x512)
% 0.53/0.68 [52]P9(x521,x522)+~P6(x522,x523,x521)
% 0.53/0.68 [53]P9(x531,x532)+~P6(x532,x531,x533)
% 0.53/0.68 [61]~P6(x611,x612,x613)+P2(x611,f5(x612,x613))
% 0.53/0.68 [33]P11(x331,x332)+~P1(x331,x332)+P16(x331,x332)
% 0.53/0.68 [37]~P14(x371,x372)+~P15(x371,x372)+P5(x371,x372)
% 0.53/0.68 [25]~P17(x252)+~P13(x251)+P13(f7(x251,x252))
% 0.53/0.68 [58]~P15(x581,x582)+~P15(x581,f8(x582))+~P1(f6(x581,x582),x582)
% 0.53/0.68 [59]~P15(x591,x592)+~P15(x591,f8(x592))+~P1(f6(x591,x592),x591)
% 0.53/0.68 [31]~P15(x313,x311)+P15(x311,x312)+P15(x313,x312)
% 0.53/0.68 [35]~P3(x353,x351)+P3(x351,x352)+P3(x353,x352)
% 0.53/0.68 [36]~P4(x363,x361)+P4(x361,x362)+P4(x363,x362)
% 0.53/0.68 [54]~P8(x542,x543,x541)+P16(x541,x542)+P16(x543,x542)
% 0.53/0.68 [55]P11(x551,x552)+P16(x551,x552)+~P8(x552,x553,x551)
% 0.53/0.68 [56]P11(x561,x562)+P16(x561,x562)+~P8(x562,x561,x563)
% 0.53/0.68 [57]~P8(x572,x571,x573)+P11(x571,x572)+P11(x573,x572)
% 0.53/0.68 [64]~P6(x641,x643,x642)+~P6(x641,x644,x643)+P7(x641,x642,x643,x644)
% 0.53/0.68 [65]~P6(x651,x653,x654)+~P6(x651,x652,x653)+P7(x651,x652,x653,x654)
% 0.53/0.68 [66]~P7(x661,x662,x663,x664)+P6(x661,x662,x663)+P6(x661,x664,x663)
% 0.53/0.68 [67]P6(x671,x673,x672)+P6(x671,x672,x673)+~P7(x671,x674,x672,x673)
% 0.53/0.68 [68]P6(x681,x683,x682)+P6(x681,x682,x683)+~P7(x681,x682,x683,x684)
% 0.53/0.68 [69]~P7(x691,x694,x692,x693)+P6(x691,x692,x693)+P6(x691,x692,x694)
% 0.53/0.68 [38]~P17(x382)+~P17(x381)+~P3(x381,x382)+P13(f5(x381,x382))
% 0.53/0.68 [45]~P15(x451,x452)+P12(x451,x452)+P12(x451,f8(x452))+~P15(x451,f8(x452))
% 0.53/0.68 [43]~P15(x431,x433)+P15(x431,x432)+~P15(x431,f8(x433))+P15(x433,f8(x432))
% 0.53/0.68 [44]~P15(x443,x441)+P15(x441,x442)+~P15(x443,f8(x441))+P15(x443,f8(x442))
% 0.53/0.68 [47]~P13(x472)+~P13(x471)+~P15(x471,x472)+~P15(x471,f8(x472))+P17(f6(x471,x472))
% 0.53/0.68 [63]~P3(x632,x633)+~P9(x633,x631)+~P9(x632,x631)+P6(x631,x632,x633)+~P2(x631,f5(x632,x633))
% 0.53/0.68 [62]P11(x624,x623)+~P3(x624,x621)+~P4(x623,x622)+P11(x621,x622)+P11(x621,x623)+P11(x624,x622)+P11(x621,f8(x622))+P11(x621,f8(x623))+P11(x624,f8(x622))+P11(x624,f8(x623))
% 0.53/0.68 %EqnAxiom
% 0.53/0.68
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 cnf(73,plain,
% 0.53/0.69 (~P11(x731,x732)),
% 0.53/0.69 inference(rename_variables,[],[6])).
% 0.53/0.69 cnf(81,plain,
% 0.53/0.69 ($false),
% 0.53/0.69 inference(scs_inference,[],[1,8,6,73,5,51,20,23,69,68,67,33]),
% 0.53/0.69 ['proof']).
% 0.53/0.69 % SZS output end Proof
% 0.53/0.69 % Total time :0.000000s
%------------------------------------------------------------------------------