%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO182+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 : 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 : Mon Jun 24 06:04:16 EDT 2024
% Result : Theorem 0.56s 0.62s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO182+3 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 21 08:09:09 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.18/0.61 %-------------------------------------------
% 0.18/0.61 % File :CSE---1.7
% 0.18/0.61 % Problem :theBenchmark
% 0.18/0.61 % Transform :cnf
% 0.18/0.61 % Format :tptp:raw
% 0.18/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.61
% 0.18/0.61 % Result :Theorem 0.020000s
% 0.18/0.61 % Output :CNFRefutation 0.020000s
% 0.18/0.61 %-------------------------------------------
% 0.56/0.61 %------------------------------------------------------------------------------
% 0.56/0.61 % File : GEO182+3 : TPTP v8.2.0. Released v4.0.0.
% 0.56/0.61 % Domain : Geometry (Constructive)
% 0.56/0.61 % Problem : Triangle axiom 3
% 0.56/0.61 % Version : [vPl95] axioms.
% 0.56/0.61 % English : If X and Y are distinct points and Z is apart from the line
% 0.56/0.61 % connecting X and Y, then Z is apart from the line connecting
% 0.56/0.61 % Y and X.
% 0.56/0.61
% 0.56/0.61 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.56/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.56/0.62 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.56/0.62 % Source : [Rat07]
% 0.56/0.62 % Names : Theorem 4.4.iii [vPl95]
% 0.56/0.62
% 0.56/0.62 % Status : Theorem
% 0.56/0.62 % Rating : 0.00 v6.1.0, 0.12 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
% 0.56/0.62 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.56/0.62 % Number of atoms : 96 ( 0 equ)
% 0.56/0.62 % Maximal formula atoms : 6 ( 2 avg)
% 0.56/0.62 % Number of connectives : 88 ( 28 ~; 19 |; 13 &)
% 0.56/0.62 % ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% 0.56/0.62 % Maximal formula depth : 9 ( 5 avg)
% 0.56/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.62 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.56/0.62 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.56/0.62 % Number of variables : 84 ( 84 !; 0 ?)
% 0.56/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.56/0.62
% 0.56/0.62 % Comments :
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 include('Axioms/GEO006+0.ax').
% 0.56/0.62 include('Axioms/GEO006+1.ax').
% 0.56/0.62 include('Axioms/GEO006+2.ax').
% 0.56/0.62 include('Axioms/GEO006+3.ax').
% 0.56/0.62 include('Axioms/GEO006+4.ax').
% 0.56/0.62 include('Axioms/GEO006+5.ax').
% 0.56/0.62 include('Axioms/GEO006+6.ax').
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 fof(con,conjecture,
% 0.56/0.62 ! [X,Y,Z] :
% 0.56/0.62 ( distinct_points(X,Y)
% 0.56/0.62 => ( apart_point_and_line(Z,line_connecting(X,Y))
% 0.56/0.62 => apart_point_and_line(Z,line_connecting(Y,X)) ) ) ).
% 0.56/0.62
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 % Proof found
% 0.56/0.62 % SZS status Theorem for theBenchmark
% 0.56/0.62 % SZS output start Proof
% 0.56/0.62 %ClaNum:49(EqnAxiom:0)
% 0.56/0.62 %VarNum:218(SingletonVarNum:98)
% 0.56/0.62 %MaxLitNum:6
% 0.56/0.62 %MaxfuncDepth:1
% 0.56/0.62 %SharedTerms:8
% 0.56/0.62 %goalClause: 1 2 6
% 0.56/0.62 %singleGoalClaCount:3
% 0.56/0.62 [1]P1(a1,a2)
% 0.56/0.62 [2]P2(a3,f4(a1,a2))
% 0.56/0.62 [6]~P2(a3,f4(a2,a1))
% 0.56/0.62 [3]~P1(x31,x31)
% 0.56/0.62 [4]~P3(x41,x41)
% 0.56/0.62 [5]~P4(x51,x51)
% 0.56/0.62 [7]~P2(x71,f6(x72,x71))
% 0.56/0.62 [8]~P2(x81,f7(x82,x81))
% 0.56/0.62 [9]~P4(f6(x91,x92),x91)
% 0.56/0.62 [10]~P5(f7(x101,x102),x101)
% 0.56/0.62 [11]P6(x111,x112)+P1(x111,x112)
% 0.56/0.62 [12]P7(x121,x122)+P3(x121,x122)
% 0.56/0.62 [14]P5(x141,x142)+P4(x141,x142)
% 0.56/0.62 [15]P8(x151,x152)+P4(x151,x152)
% 0.56/0.62 [16]P9(x161,x162)+P2(x161,x162)
% 0.56/0.62 [17]P10(x171,x172)+P5(x171,x172)
% 0.56/0.62 [18]~P3(x181,x182)+P4(x181,x182)
% 0.56/0.62 [21]~P6(x211,x212)+~P1(x211,x212)
% 0.56/0.62 [22]~P7(x221,x222)+~P3(x221,x222)
% 0.56/0.62 [23]~P8(x231,x232)+~P4(x231,x232)
% 0.56/0.62 [24]~P9(x241,x242)+~P2(x241,x242)
% 0.56/0.62 [25]~P10(x251,x252)+~P5(x251,x252)
% 0.56/0.62 [45]~P1(x451,x452)+~P2(x452,f4(x451,x452))
% 0.56/0.62 [46]~P1(x461,x462)+~P2(x461,f4(x461,x462))
% 0.56/0.62 [47]~P4(x471,x472)+~P2(f5(x471,x472),x472)
% 0.56/0.62 [48]~P4(x481,x482)+~P2(f5(x481,x482),x481)
% 0.56/0.62 [19]~P12(x192)+~P11(x191)+P11(f6(x191,x192))
% 0.56/0.62 [20]~P12(x202)+~P11(x201)+P11(f7(x201,x202))
% 0.56/0.62 [26]~P1(x263,x261)+P1(x261,x262)+P1(x263,x262)
% 0.56/0.62 [27]~P2(x271,x273)+P1(x271,x272)+P2(x272,x273)
% 0.56/0.62 [28]~P3(x283,x281)+P3(x281,x282)+P3(x283,x282)
% 0.56/0.62 [29]~P4(x293,x291)+P3(x291,x292)+P4(x293,x292)
% 0.56/0.62 [30]~P2(x303,x301)+P3(x301,x302)+P2(x303,x302)
% 0.56/0.62 [31]~P4(x313,x311)+P4(x311,x312)+P4(x313,x312)
% 0.56/0.62 [32]~P4(x323,x322)+P5(x321,x322)+P5(x321,x323)
% 0.56/0.62 [34]~P11(x342)+~P11(x341)+~P4(x341,x342)+P12(f5(x341,x342))
% 0.56/0.62 [35]~P12(x352)+~P12(x351)+~P1(x351,x352)+P11(f4(x351,x352))
% 0.56/0.62 [37]~P4(x371,x373)+~P5(x371,x373)+P4(x371,x372)+P5(x373,x372)
% 0.56/0.62 [38]~P4(x382,x383)+~P5(x382,x383)+P4(x381,x382)+P4(x381,x383)
% 0.56/0.62 [39]~P4(x392,x393)+~P5(x392,x393)+P4(x391,x392)+P5(x391,x393)
% 0.56/0.62 [40]~P4(x403,x401)+~P5(x403,x401)+P4(x401,x402)+P5(x403,x402)
% 0.56/0.62 [41]~P4(x413,x412)+~P5(x413,x412)+P4(x411,x412)+P5(x411,x413)
% 0.56/0.62 [42]~P4(x421,x423)+~P5(x421,x423)+P5(x421,x422)+P5(x423,x422)
% 0.56/0.62 [44]P5(x443,x444)+~P3(x443,x442)+P2(x441,x442)+P2(x441,x443)+P5(x442,x444)
% 0.56/0.62 [49]P2(x494,x493)+~P1(x494,x491)+~P3(x493,x492)+P2(x491,x492)+P2(x491,x493)+P2(x494,x492)
% 0.56/0.62 %EqnAxiom
% 0.56/0.62
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 cnf(60,plain,
% 0.56/0.62 (~P3(f6(x601,x602),x601)),
% 0.56/0.62 inference(scs_inference,[],[1,2,6,3,4,9,21,11,16,24,12,18])).
% 0.56/0.62 cnf(68,plain,
% 0.56/0.62 (P1(a2,a1)),
% 0.56/0.62 inference(scs_inference,[],[1,2,6,3,4,10,5,9,21,11,16,24,12,18,14,15,17,26])).
% 0.56/0.62 cnf(73,plain,
% 0.56/0.62 (P3(f4(a2,a1),f4(a1,a2))),
% 0.56/0.62 inference(scs_inference,[],[1,2,6,3,4,10,5,9,21,11,16,24,12,18,14,15,17,26,30,28])).
% 0.56/0.62 cnf(100,plain,
% 0.56/0.62 (~P4(f6(x1001,x1002),f6(x1001,x1003))),
% 0.56/0.62 inference(scs_inference,[],[68,7,60,73,9,14,21,15,22,16,25,12,29])).
% 0.56/0.62 cnf(101,plain,
% 0.56/0.62 (~P4(f6(x1011,x1012),x1011)),
% 0.56/0.62 inference(rename_variables,[],[9])).
% 0.56/0.62 cnf(103,plain,
% 0.56/0.62 (~P4(x1031,f6(x1031,x1032))),
% 0.56/0.62 inference(scs_inference,[],[68,7,60,73,9,101,5,14,21,15,22,16,25,12,29,31])).
% 0.56/0.62 cnf(106,plain,
% 0.56/0.62 (P3(f4(a1,a2),f6(x1061,a3))),
% 0.56/0.62 inference(scs_inference,[],[2,68,7,60,73,9,101,5,14,21,15,22,16,25,12,29,31,30])).
% 0.56/0.62 cnf(127,plain,
% 0.56/0.62 ($false),
% 0.56/0.62 inference(scs_inference,[],[106,100,103,14,22,18]),
% 0.56/0.62 ['proof']).
% 0.56/0.62 % SZS output end Proof
% 0.56/0.62 % Total time :0.020000s
%------------------------------------------------------------------------------