TSTP Solution File: GEO178+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO178+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 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 : Wed Aug 30 22:43:21 EDT 2023
% Result : Theorem 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO178+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n020.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 19:33:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.000000s
% 0.20/0.63 % Output :CNFRefutation 0.000000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 % File : GEO178+3 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.63 % Domain : Geometry (Constructive)
% 0.20/0.63 % Problem : Lemma on symmetry and apartness
% 0.20/0.63 % Version : [vPl95] axioms.
% 0.20/0.63 % English : If two points X and Y are distinct and a point Z is apart from
% 0.20/0.63 % the line connecting X and Y, then Z and X are distinct, and
% 0.20/0.63 % Z and Y are distinct.
% 0.20/0.63
% 0.20/0.63 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.20/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.63 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.20/0.63 % Source : [Rat07]
% 0.20/0.63 % Names : Lemma 4.3.i [vPl95]
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 0.20/0.63 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.20/0.63 % Number of atoms : 97 ( 0 equ)
% 0.20/0.63 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.63 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 0.20/0.63 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.20/0.63 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.63 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.20/0.63 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.20/0.63 % Number of variables : 84 ( 84 !; 0 ?)
% 0.20/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.63
% 0.20/0.63 % Comments :
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 include('Axioms/GEO006+0.ax').
% 0.20/0.63 include('Axioms/GEO006+1.ax').
% 0.20/0.63 include('Axioms/GEO006+2.ax').
% 0.20/0.63 include('Axioms/GEO006+3.ax').
% 0.20/0.63 include('Axioms/GEO006+4.ax').
% 0.20/0.63 include('Axioms/GEO006+5.ax').
% 0.20/0.63 include('Axioms/GEO006+6.ax').
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 fof(con,conjecture,
% 0.20/0.63 ! [X,Y,Z] :
% 0.20/0.63 ( ( distinct_points(X,Y)
% 0.20/0.63 & apart_point_and_line(Z,line_connecting(X,Y)) )
% 0.20/0.63 => ( distinct_points(Z,X)
% 0.20/0.63 & distinct_points(Z,Y) ) ) ).
% 0.20/0.63
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.64 %ClaNum:49(EqnAxiom:0)
% 0.20/0.64 %VarNum:218(SingletonVarNum:98)
% 0.20/0.64 %MaxLitNum:6
% 0.20/0.64 %MaxfuncDepth:1
% 0.20/0.64 %SharedTerms:8
% 0.20/0.64 %goalClause: 1 2 17
% 0.20/0.64 %singleGoalClaCount:2
% 0.20/0.64 [1]P1(a1,a2)
% 0.20/0.64 [2]P2(a3,f4(a1,a2))
% 0.20/0.64 [3]~P1(x31,x31)
% 0.20/0.64 [4]~P3(x41,x41)
% 0.20/0.64 [5]~P4(x51,x51)
% 0.20/0.64 [6]~P2(x61,f6(x62,x61))
% 0.20/0.64 [7]~P2(x71,f7(x72,x71))
% 0.20/0.64 [8]~P4(f6(x81,x82),x81)
% 0.20/0.64 [9]~P5(f7(x91,x92),x91)
% 0.20/0.64 [17]~P1(a3,a1)+~P1(a3,a2)
% 0.20/0.64 [10]P6(x101,x102)+P1(x101,x102)
% 0.20/0.64 [11]P7(x111,x112)+P3(x111,x112)
% 0.20/0.64 [13]P5(x131,x132)+P4(x131,x132)
% 0.20/0.64 [14]P8(x141,x142)+P4(x141,x142)
% 0.20/0.64 [15]P9(x151,x152)+P2(x151,x152)
% 0.20/0.64 [16]P10(x161,x162)+P5(x161,x162)
% 0.20/0.64 [18]~P3(x181,x182)+P4(x181,x182)
% 0.20/0.64 [21]~P6(x211,x212)+~P1(x211,x212)
% 0.20/0.64 [22]~P7(x221,x222)+~P3(x221,x222)
% 0.20/0.64 [23]~P8(x231,x232)+~P4(x231,x232)
% 0.20/0.64 [24]~P9(x241,x242)+~P2(x241,x242)
% 0.20/0.64 [25]~P10(x251,x252)+~P5(x251,x252)
% 0.20/0.64 [45]~P1(x451,x452)+~P2(x452,f4(x451,x452))
% 0.20/0.64 [46]~P1(x461,x462)+~P2(x461,f4(x461,x462))
% 0.20/0.64 [47]~P4(x471,x472)+~P2(f5(x471,x472),x472)
% 0.20/0.64 [48]~P4(x481,x482)+~P2(f5(x481,x482),x481)
% 0.20/0.64 [19]~P12(x192)+~P11(x191)+P11(f6(x191,x192))
% 0.20/0.64 [20]~P12(x202)+~P11(x201)+P11(f7(x201,x202))
% 0.20/0.64 [26]~P1(x263,x261)+P1(x261,x262)+P1(x263,x262)
% 0.20/0.64 [27]~P2(x271,x273)+P1(x271,x272)+P2(x272,x273)
% 0.20/0.64 [28]~P3(x283,x281)+P3(x281,x282)+P3(x283,x282)
% 0.20/0.64 [29]~P4(x293,x291)+P3(x291,x292)+P4(x293,x292)
% 0.20/0.64 [30]~P2(x303,x301)+P3(x301,x302)+P2(x303,x302)
% 0.20/0.64 [31]~P4(x313,x311)+P4(x311,x312)+P4(x313,x312)
% 0.20/0.64 [32]~P4(x323,x322)+P5(x321,x322)+P5(x321,x323)
% 0.20/0.64 [34]~P11(x342)+~P11(x341)+~P4(x341,x342)+P12(f5(x341,x342))
% 0.20/0.64 [35]~P12(x352)+~P12(x351)+~P1(x351,x352)+P11(f4(x351,x352))
% 0.20/0.64 [37]~P4(x371,x373)+~P5(x371,x373)+P4(x371,x372)+P5(x373,x372)
% 0.20/0.64 [38]~P4(x382,x383)+~P5(x382,x383)+P4(x381,x382)+P4(x381,x383)
% 0.20/0.64 [39]~P4(x392,x393)+~P5(x392,x393)+P4(x391,x392)+P5(x391,x393)
% 0.20/0.64 [40]~P4(x403,x401)+~P5(x403,x401)+P4(x401,x402)+P5(x403,x402)
% 0.20/0.64 [41]~P4(x413,x412)+~P5(x413,x412)+P4(x411,x412)+P5(x411,x413)
% 0.20/0.64 [42]~P4(x421,x423)+~P5(x421,x423)+P5(x421,x422)+P5(x423,x422)
% 0.20/0.64 [44]P5(x443,x444)+~P3(x443,x442)+P2(x441,x442)+P2(x441,x443)+P5(x442,x444)
% 0.20/0.64 [49]P2(x494,x493)+~P1(x494,x491)+~P3(x493,x492)+P2(x491,x492)+P2(x491,x493)+P2(x494,x492)
% 0.20/0.64 %EqnAxiom
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(69,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[1,3,4,5,2,6,8,9,24,21,18,16,15,14,13,11,10,30,28]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------