%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO179+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 : n001.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 06:04:14 EDT 2024
% Result : Theorem 0.51s 0.59s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO179+3 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n001.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 06:44:09 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % File :CSE---1.7
% 0.51/0.59 % Problem :theBenchmark
% 0.51/0.59 % Transform :cnf
% 0.51/0.59 % Format :tptp:raw
% 0.51/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.59
% 0.51/0.59 % Result :Theorem 0.000000s
% 0.51/0.59 % Output :CNFRefutation 0.000000s
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 % File : GEO179+3 : TPTP v8.2.0. Released v4.0.0.
% 0.51/0.59 % Domain : Geometry (Constructive)
% 0.51/0.59 % Problem : Lemma on symmetry and apartness
% 0.51/0.59 % Version : [vPl95] axioms.
% 0.51/0.59 % English : If two points X and Y are distinct and a point Z is apart from
% 0.51/0.59 % the line connecting X and Y, then the line connecting X and Y
% 0.51/0.59 % is distinct from the line connecting Z and X and distinct from
% 0.51/0.59 % the line connecting Z and Y.
% 0.51/0.59
% 0.51/0.59 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.51/0.59 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.59 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.51/0.59 % Source : [Rat07]
% 0.51/0.59 % Names : Lemma 4.3.ii [vPl95]
% 0.51/0.59
% 0.51/0.59 % Status : Theorem
% 0.51/0.59 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.0
% 0.51/0.59 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.51/0.59 % Number of atoms : 97 ( 0 equ)
% 0.51/0.59 % Maximal formula atoms : 6 ( 2 avg)
% 0.51/0.59 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 0.51/0.59 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.51/0.59 % Maximal formula depth : 9 ( 5 avg)
% 0.51/0.59 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.59 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.51/0.59 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.51/0.59 % Number of variables : 84 ( 84 !; 0 ?)
% 0.51/0.59 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.59
% 0.51/0.59 % Comments :
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 include('Axioms/GEO006+0.ax').
% 0.51/0.59 include('Axioms/GEO006+1.ax').
% 0.51/0.59 include('Axioms/GEO006+2.ax').
% 0.51/0.59 include('Axioms/GEO006+3.ax').
% 0.51/0.59 include('Axioms/GEO006+4.ax').
% 0.51/0.59 include('Axioms/GEO006+5.ax').
% 0.51/0.59 include('Axioms/GEO006+6.ax').
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 fof(con,conjecture,
% 0.51/0.59 ! [X,Y,Z] :
% 0.51/0.59 ( ( distinct_points(X,Y)
% 0.51/0.59 & apart_point_and_line(Z,line_connecting(X,Y)) )
% 0.51/0.59 => ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
% 0.51/0.59 & distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ) ).
% 0.51/0.59
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % Proof found
% 0.51/0.59 % SZS status Theorem for theBenchmark
% 0.51/0.59 % SZS output start Proof
% 0.51/0.60 %ClaNum:49(EqnAxiom:0)
% 0.51/0.60 %VarNum:218(SingletonVarNum:98)
% 0.51/0.60 %MaxLitNum:6
% 0.51/0.60 %MaxfuncDepth:1
% 0.51/0.60 %SharedTerms:10
% 0.51/0.60 %goalClause: 1 2 49
% 0.51/0.60 %singleGoalClaCount:2
% 0.51/0.60 [1]P1(a1,a2)
% 0.51/0.60 [2]P2(a3,f4(a1,a2))
% 0.51/0.60 [3]~P1(x31,x31)
% 0.51/0.60 [4]~P3(x41,x41)
% 0.51/0.60 [5]~P4(x51,x51)
% 0.51/0.60 [6]~P2(x61,f6(x62,x61))
% 0.51/0.60 [7]~P2(x71,f7(x72,x71))
% 0.51/0.60 [8]~P4(f6(x81,x82),x81)
% 0.51/0.60 [9]~P5(f7(x91,x92),x91)
% 0.51/0.60 [49]~P3(f4(a1,a2),f4(a3,a2))+~P3(f4(a1,a2),f4(a3,a1))
% 0.51/0.60 [10]P6(x101,x102)+P1(x101,x102)
% 0.51/0.60 [11]P7(x111,x112)+P3(x111,x112)
% 0.51/0.60 [13]P5(x131,x132)+P4(x131,x132)
% 0.51/0.60 [14]P8(x141,x142)+P4(x141,x142)
% 0.51/0.60 [15]P9(x151,x152)+P2(x151,x152)
% 0.51/0.60 [16]P10(x161,x162)+P5(x161,x162)
% 0.51/0.60 [17]~P3(x171,x172)+P4(x171,x172)
% 0.51/0.60 [20]~P6(x201,x202)+~P1(x201,x202)
% 0.51/0.60 [21]~P7(x211,x212)+~P3(x211,x212)
% 0.51/0.60 [22]~P8(x221,x222)+~P4(x221,x222)
% 0.51/0.60 [23]~P9(x231,x232)+~P2(x231,x232)
% 0.51/0.60 [24]~P10(x241,x242)+~P5(x241,x242)
% 0.51/0.60 [44]~P1(x441,x442)+~P2(x442,f4(x441,x442))
% 0.51/0.60 [45]~P1(x451,x452)+~P2(x451,f4(x451,x452))
% 0.51/0.60 [46]~P4(x461,x462)+~P2(f5(x461,x462),x462)
% 0.51/0.60 [47]~P4(x471,x472)+~P2(f5(x471,x472),x471)
% 0.51/0.60 [18]~P12(x182)+~P11(x181)+P11(f6(x181,x182))
% 0.51/0.60 [19]~P12(x192)+~P11(x191)+P11(f7(x191,x192))
% 0.51/0.60 [25]~P1(x253,x251)+P1(x251,x252)+P1(x253,x252)
% 0.51/0.60 [26]~P2(x261,x263)+P1(x261,x262)+P2(x262,x263)
% 0.51/0.60 [27]~P3(x273,x271)+P3(x271,x272)+P3(x273,x272)
% 0.51/0.60 [28]~P4(x283,x281)+P3(x281,x282)+P4(x283,x282)
% 0.51/0.60 [29]~P2(x293,x291)+P3(x291,x292)+P2(x293,x292)
% 0.51/0.60 [30]~P4(x303,x301)+P4(x301,x302)+P4(x303,x302)
% 0.51/0.60 [31]~P4(x313,x312)+P5(x311,x312)+P5(x311,x313)
% 0.51/0.60 [33]~P11(x332)+~P11(x331)+~P4(x331,x332)+P12(f5(x331,x332))
% 0.51/0.60 [34]~P12(x342)+~P12(x341)+~P1(x341,x342)+P11(f4(x341,x342))
% 0.51/0.60 [36]~P4(x361,x363)+~P5(x361,x363)+P4(x361,x362)+P5(x363,x362)
% 0.51/0.60 [37]~P4(x372,x373)+~P5(x372,x373)+P4(x371,x372)+P4(x371,x373)
% 0.51/0.60 [38]~P4(x382,x383)+~P5(x382,x383)+P4(x381,x382)+P5(x381,x383)
% 0.51/0.60 [39]~P4(x393,x391)+~P5(x393,x391)+P4(x391,x392)+P5(x393,x392)
% 0.51/0.60 [40]~P4(x403,x402)+~P5(x403,x402)+P4(x401,x402)+P5(x401,x403)
% 0.51/0.60 [41]~P4(x411,x413)+~P5(x411,x413)+P5(x411,x412)+P5(x413,x412)
% 0.51/0.60 [43]P5(x433,x434)+~P3(x433,x432)+P2(x431,x432)+P2(x431,x433)+P5(x432,x434)
% 0.51/0.60 [48]P2(x484,x483)+~P1(x484,x481)+~P3(x483,x482)+P2(x481,x482)+P2(x481,x483)+P2(x484,x482)
% 0.51/0.60 %EqnAxiom
% 0.51/0.60
% 0.51/0.60 %-------------------------------------------
% 0.51/0.60 cnf(78,plain,
% 0.51/0.60 ($false),
% 0.51/0.60 inference(scs_inference,[],[1,2,3,4,6,5,8,9,20,10,11,23,13,14,15,17,16,24,25,29,21,27]),
% 0.51/0.60 ['proof']).
% 0.51/0.60 % SZS output end Proof
% 0.51/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------