TSTP Solution File: GEO236+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO236+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 22:43:56 EDT 2023
% Result : Theorem 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO236+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:14:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 % File :CSE---1.6
% 0.21/0.63 % Problem :theBenchmark
% 0.21/0.63 % Transform :cnf
% 0.21/0.63 % Format :tptp:raw
% 0.21/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.63
% 0.21/0.63 % Result :Theorem 0.000000s
% 0.21/0.63 % Output :CNFRefutation 0.000000s
% 0.21/0.63 %-------------------------------------------
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 % File : GEO236+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.21/0.64 % Domain : Geometry (Constructive)
% 0.21/0.64 % Problem : Left and right apart leads to distinctness of lines
% 0.21/0.64 % Version : [vPl98] axioms : Especial.
% 0.21/0.64 % English :
% 0.21/0.64
% 0.21/0.64 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.21/0.64 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.21/0.64 % Source : [ILTP]
% 0.21/0.64 % Names : Therorem 5.2 [vPl98]
% 0.21/0.64
% 0.21/0.64 % Status : Theorem
% 0.21/0.64 % Rating : 0.00 v6.4.0
% 0.21/0.64 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 0.21/0.64 % Number of atoms : 106 ( 0 equ)
% 0.21/0.64 % Maximal formula atoms : 10 ( 3 avg)
% 0.21/0.64 % Number of connectives : 90 ( 16 ~; 25 |; 26 &)
% 0.21/0.64 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 0.21/0.64 % Maximal formula depth : 13 ( 6 avg)
% 0.21/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.64 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 0.21/0.64 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.21/0.64 % Number of variables : 74 ( 74 !; 0 ?)
% 0.21/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.21/0.64
% 0.21/0.64 % Comments : Definitions unfolded, hence Especial.
% 0.21/0.64 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 include('Axioms/GEO007+0.ax').
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 fof(con,conjecture,
% 0.21/0.64 ! [A,L,M] :
% 0.21/0.64 ( ( left_apart_point(A,L)
% 0.21/0.64 & left_apart_point(A,reverse_line(M)) )
% 0.21/0.64 => ( unequally_directed_lines(L,M)
% 0.21/0.64 | distinct_lines(L,M) ) ) ).
% 0.21/0.64
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark
% 0.21/0.64 % SZS output start Proof
% 0.21/0.64 %ClaNum:62(EqnAxiom:0)
% 0.21/0.64 %VarNum:269(SingletonVarNum:105)
% 0.21/0.64 %MaxLitNum:10
% 0.21/0.64 %MaxfuncDepth:2
% 0.21/0.64 %SharedTerms:8
% 0.21/0.64 %goalClause: 1 2 3 4
% 0.21/0.64 %singleGoalClaCount:4
% 0.21/0.64 [1]P1(a1,a2)
% 0.21/0.64 [3]~P9(a2,a3)
% 0.21/0.64 [4]~P2(a2,a3)
% 0.21/0.64 [2]P1(a1,f4(a3))
% 0.21/0.64 [6]~P9(x61,x61)
% 0.21/0.64 [7]~P7(x71,x71)
% 0.21/0.64 [8]~P2(x81,x81)
% 0.21/0.64 [11]~P2(x111,f4(x111))
% 0.21/0.64 [5]~P1(x51,x52)
% 0.21/0.64 [9]~P10(x91,x92)
% 0.21/0.64 [13]~P3(x131,f5(x132,x131))
% 0.21/0.64 [14]~P9(f5(x141,x142),x141)
% 0.21/0.64 [15]~P9(f6(x151,x152),f4(f6(x152,x151)))
% 0.21/0.64 [16]~P11(x161)+P11(f4(x161))
% 0.21/0.64 [18]~P4(x181,x182)+P9(x181,x182)
% 0.21/0.64 [19]~P4(x191,x192)+P9(x191,f4(x192))
% 0.21/0.64 [33]~P7(x331,x332)+~P3(x332,f6(x331,x332))
% 0.21/0.64 [34]~P7(x341,x342)+~P3(x341,f6(x341,x342))
% 0.21/0.64 [41]P7(x411,x412)+~P5(x413,x411,x412)
% 0.21/0.64 [54]~P5(x541,x542,x543)+~P9(x541,f6(x542,x543))
% 0.21/0.64 [20]~P11(x201)+~P12(x202)+P11(f5(x201,x202))
% 0.21/0.64 [28]~P3(x281,x282)+P1(x281,x282)+P1(x281,f4(x282))
% 0.21/0.64 [30]~P9(x301,x302)+P4(x301,x302)+~P9(x301,f4(x302))
% 0.21/0.64 [49]~P9(x491,x492)+~P9(x491,f4(x492))+~P3(f7(x491,x492),x492)
% 0.21/0.64 [50]~P9(x501,x502)+~P9(x501,f4(x502))+~P3(f7(x501,x502),x501)
% 0.21/0.64 [24]~P9(x243,x241)+P9(x241,x242)+P9(x243,x242)
% 0.21/0.64 [26]~P7(x263,x261)+P7(x261,x262)+P7(x263,x262)
% 0.21/0.64 [27]~P2(x273,x271)+P2(x271,x272)+P2(x273,x272)
% 0.21/0.64 [46]~P8(x462,x461,x463)+P1(x461,x462)+P1(x463,x462)
% 0.21/0.64 [51]P1(x511,x512)+~P8(x512,x513,x511)+P1(x511,f4(x512))
% 0.21/0.64 [52]P1(x521,x522)+~P8(x522,x521,x523)+P1(x521,f4(x522))
% 0.21/0.64 [53]~P8(x532,x533,x531)+P1(x531,f4(x532))+P1(x533,f4(x532))
% 0.21/0.64 [57]~P5(x571,x573,x572)+~P5(x571,x574,x573)+P6(x571,x572,x573,x574)
% 0.21/0.64 [58]~P5(x581,x583,x584)+~P5(x581,x582,x583)+P6(x581,x582,x583,x584)
% 0.21/0.64 [59]~P6(x591,x592,x593,x594)+P5(x591,x592,x593)+P5(x591,x594,x593)
% 0.21/0.64 [60]P5(x601,x603,x602)+P5(x601,x602,x603)+~P6(x601,x604,x602,x603)
% 0.21/0.64 [61]P5(x611,x613,x612)+P5(x611,x612,x613)+~P6(x611,x612,x613,x614)
% 0.21/0.64 [62]~P6(x621,x624,x622,x623)+P5(x621,x622,x623)+P5(x621,x622,x624)
% 0.21/0.64 [22]~P11(x222)+~P11(x221)+P9(x221,x222)+P9(x221,f4(x222))
% 0.21/0.64 [29]~P12(x292)+~P12(x291)+~P7(x291,x292)+P11(f6(x291,x292))
% 0.21/0.64 [37]~P9(x371,x372)+P10(x371,x372)+P10(x371,f4(x372))+~P9(x371,f4(x372))
% 0.21/0.64 [35]~P9(x351,x353)+P9(x351,x352)+~P9(x351,f4(x353))+P9(x353,f4(x352))
% 0.21/0.64 [36]~P9(x363,x361)+P9(x361,x362)+~P9(x363,f4(x361))+P9(x363,f4(x362))
% 0.21/0.64 [39]~P11(x392)+~P11(x391)+~P9(x391,x392)+~P9(x391,f4(x392))+P12(f7(x391,x392))
% 0.21/0.64 [56]P5(x562,x563,x561)+~P7(x563,x561)+P1(x561,x562)+P1(x563,x562)+P1(x561,f4(x562))+P1(x563,f4(x562))+P9(x562,f6(x563,x561))
% 0.21/0.64 [55]P1(x554,x553)+~P7(x554,x551)+~P2(x553,x552)+P1(x551,x552)+P1(x551,x553)+P1(x554,x552)+P1(x551,f4(x552))+P1(x551,f4(x553))+P1(x554,f4(x552))+P1(x554,f4(x553))
% 0.21/0.64 %EqnAxiom
% 0.21/0.64
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 cnf(63,plain,
% 0.21/0.64 ($false),
% 0.21/0.64 inference(scs_inference,[],[1,5]),
% 0.21/0.64 ['proof']).
% 0.21/0.64 % SZS output end Proof
% 0.21/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------