%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO194+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 06:04:24 EDT 2024
% Result : Theorem 0.51s 0.61s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO194+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n029.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 08:38:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.51/0.55 start to proof:theBenchmark
% 0.51/0.60 %-------------------------------------------
% 0.51/0.60 % File :CSE---1.7
% 0.51/0.60 % Problem :theBenchmark
% 0.51/0.60 % Transform :cnf
% 0.51/0.60 % Format :tptp:raw
% 0.51/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.60
% 0.51/0.60 % Result :Theorem 0.010000s
% 0.51/0.60 % Output :CNFRefutation 0.010000s
% 0.51/0.60 %-------------------------------------------
% 0.51/0.61 %------------------------------------------------------------------------------
% 0.51/0.61 % File : GEO194+3 : TPTP v8.2.0. Released v4.0.0.
% 0.51/0.61 % Domain : Geometry (Constructive)
% 0.51/0.61 % Problem : Corollary to symmetry of apartness
% 0.51/0.61 % Version : [vPl95] axioms.
% 0.51/0.61 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 0.51/0.61 % intersection point of X and Y is apart from a line Z, then
% 0.51/0.61 % the intersection point of X and Z is apart from Y.
% 0.51/0.61
% 0.51/0.61 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.51/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.61 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.51/0.61 % Source : [Rat07]
% 0.51/0.61 % Names : Corollary 4.10.ii [vPl95]
% 0.51/0.61
% 0.51/0.61 % Status : Theorem
% 0.51/0.61 % Rating : 0.06 v8.2.0, 0.07 v7.5.0, 0.05 v7.4.0, 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 v4.0.1, 0.16 v4.0.0
% 0.51/0.61 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.51/0.61 % Number of atoms : 98 ( 0 equ)
% 0.51/0.61 % Maximal formula atoms : 6 ( 2 avg)
% 0.51/0.61 % Number of connectives : 90 ( 28 ~; 19 |; 15 &)
% 0.51/0.61 % ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% 0.51/0.61 % Maximal formula depth : 9 ( 5 avg)
% 0.51/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.61 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.51/0.61 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.51/0.61 % Number of variables : 84 ( 84 !; 0 ?)
% 0.51/0.61 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.61
% 0.51/0.61 % Comments :
% 0.51/0.61 %------------------------------------------------------------------------------
% 0.51/0.61 include('Axioms/GEO006+0.ax').
% 0.51/0.61 include('Axioms/GEO006+1.ax').
% 0.51/0.61 include('Axioms/GEO006+2.ax').
% 0.51/0.61 include('Axioms/GEO006+3.ax').
% 0.51/0.61 include('Axioms/GEO006+4.ax').
% 0.51/0.61 include('Axioms/GEO006+5.ax').
% 0.51/0.61 include('Axioms/GEO006+6.ax').
% 0.51/0.61 %------------------------------------------------------------------------------
% 0.51/0.61 fof(con,conjecture,
% 0.51/0.61 ! [X,Y,Z] :
% 0.51/0.61 ( ( convergent_lines(X,Y)
% 0.51/0.61 & convergent_lines(Z,Y)
% 0.51/0.61 & convergent_lines(X,Z) )
% 0.51/0.61 => ( apart_point_and_line(intersection_point(X,Y),Z)
% 0.51/0.61 => apart_point_and_line(intersection_point(X,Z),Y) ) ) ).
% 0.51/0.61
% 0.51/0.61 %------------------------------------------------------------------------------
% 0.51/0.61 %-------------------------------------------
% 0.51/0.61 % Proof found
% 0.51/0.61 % SZS status Theorem for theBenchmark
% 0.51/0.61 % SZS output start Proof
% 0.51/0.61 %ClaNum:51(EqnAxiom:0)
% 0.51/0.61 %VarNum:218(SingletonVarNum:98)
% 0.51/0.61 %MaxLitNum:6
% 0.51/0.61 %MaxfuncDepth:1
% 0.51/0.61 %SharedTerms:10
% 0.51/0.61 %goalClause: 1 2 3 4 8
% 0.51/0.61 %singleGoalClaCount:5
% 0.51/0.61 [1]P1(a1,a2)
% 0.51/0.61 [2]P1(a1,a3)
% 0.51/0.61 [3]P1(a3,a2)
% 0.51/0.61 [4]P2(f4(a1,a2),a3)
% 0.51/0.61 [8]~P2(f4(a1,a3),a2)
% 0.51/0.61 [5]~P3(x51,x51)
% 0.51/0.61 [6]~P4(x61,x61)
% 0.51/0.61 [7]~P1(x71,x71)
% 0.51/0.61 [9]~P2(x91,f5(x92,x91))
% 0.51/0.61 [10]~P2(x101,f6(x102,x101))
% 0.51/0.61 [11]~P1(f5(x111,x112),x111)
% 0.51/0.61 [12]~P5(f6(x121,x122),x121)
% 0.51/0.61 [13]P6(x131,x132)+P3(x131,x132)
% 0.51/0.61 [14]P7(x141,x142)+P4(x141,x142)
% 0.51/0.61 [16]P5(x161,x162)+P1(x161,x162)
% 0.51/0.61 [17]P8(x171,x172)+P1(x171,x172)
% 0.51/0.61 [18]P9(x181,x182)+P2(x181,x182)
% 0.51/0.61 [19]P10(x191,x192)+P5(x191,x192)
% 0.51/0.61 [20]~P4(x201,x202)+P1(x201,x202)
% 0.51/0.61 [23]~P6(x231,x232)+~P3(x231,x232)
% 0.51/0.61 [24]~P7(x241,x242)+~P4(x241,x242)
% 0.51/0.61 [25]~P8(x251,x252)+~P1(x251,x252)
% 0.51/0.61 [26]~P9(x261,x262)+~P2(x261,x262)
% 0.51/0.61 [27]~P10(x271,x272)+~P5(x271,x272)
% 0.51/0.61 [47]~P3(x471,x472)+~P2(x472,f7(x471,x472))
% 0.51/0.61 [48]~P3(x481,x482)+~P2(x481,f7(x481,x482))
% 0.51/0.61 [49]~P1(x491,x492)+~P2(f4(x491,x492),x492)
% 0.51/0.61 [50]~P1(x501,x502)+~P2(f4(x501,x502),x501)
% 0.51/0.61 [21]~P12(x212)+~P11(x211)+P11(f5(x211,x212))
% 0.51/0.61 [22]~P12(x222)+~P11(x221)+P11(f6(x221,x222))
% 0.51/0.61 [28]~P3(x283,x281)+P3(x281,x282)+P3(x283,x282)
% 0.51/0.61 [29]~P2(x291,x293)+P3(x291,x292)+P2(x292,x293)
% 0.51/0.61 [30]~P4(x303,x301)+P4(x301,x302)+P4(x303,x302)
% 0.51/0.61 [31]~P1(x313,x311)+P4(x311,x312)+P1(x313,x312)
% 0.51/0.61 [32]~P2(x323,x321)+P4(x321,x322)+P2(x323,x322)
% 0.51/0.61 [33]~P1(x333,x331)+P1(x331,x332)+P1(x333,x332)
% 0.51/0.61 [34]~P1(x343,x342)+P5(x341,x342)+P5(x341,x343)
% 0.51/0.61 [36]~P11(x362)+~P11(x361)+~P1(x361,x362)+P12(f4(x361,x362))
% 0.51/0.61 [37]~P12(x372)+~P12(x371)+~P3(x371,x372)+P11(f7(x371,x372))
% 0.51/0.61 [39]~P1(x391,x393)+~P5(x391,x393)+P1(x391,x392)+P5(x393,x392)
% 0.51/0.61 [40]~P1(x402,x403)+~P5(x402,x403)+P1(x401,x402)+P1(x401,x403)
% 0.51/0.61 [41]~P1(x412,x413)+~P5(x412,x413)+P1(x411,x412)+P5(x411,x413)
% 0.51/0.61 [42]~P1(x423,x421)+~P5(x423,x421)+P1(x421,x422)+P5(x423,x422)
% 0.51/0.61 [43]~P1(x433,x432)+~P5(x433,x432)+P1(x431,x432)+P5(x431,x433)
% 0.51/0.61 [44]~P1(x441,x443)+~P5(x441,x443)+P5(x441,x442)+P5(x443,x442)
% 0.51/0.61 [46]P5(x463,x464)+~P4(x463,x462)+P2(x461,x462)+P2(x461,x463)+P5(x462,x464)
% 0.51/0.61 [51]P2(x514,x513)+~P3(x514,x511)+~P4(x513,x512)+P2(x511,x512)+P2(x511,x513)+P2(x514,x512)
% 0.51/0.61 %EqnAxiom
% 0.51/0.61
% 0.51/0.61 %-------------------------------------------
% 0.51/0.61 cnf(68,plain,
% 0.51/0.61 (~P4(f5(x681,x682),x681)),
% 0.51/0.61 inference(scs_inference,[],[1,4,8,5,6,7,11,12,25,18,26,13,14,16,17,19,20])).
% 0.51/0.61 cnf(73,plain,
% 0.51/0.61 (~P1(x731,x731)),
% 0.51/0.61 inference(rename_variables,[],[7])).
% 0.51/0.61 cnf(75,plain,
% 0.51/0.61 (P4(a3,f5(x751,f4(a1,a2)))),
% 0.51/0.61 inference(scs_inference,[],[1,4,8,5,6,7,9,11,12,25,18,26,13,14,16,17,19,20,27,31,32])).
% 0.51/0.61 cnf(81,plain,
% 0.51/0.61 (P5(f6(a1,x811),a2)),
% 0.51/0.61 inference(scs_inference,[],[1,4,8,5,6,7,73,9,11,12,25,18,26,13,14,16,17,19,20,27,31,32,33,34])).
% 0.51/0.61 cnf(120,plain,
% 0.51/0.61 (~P4(f5(x1201,x1202),x1201)),
% 0.51/0.61 inference(rename_variables,[],[68])).
% 0.51/0.61 cnf(122,plain,
% 0.51/0.61 ($false),
% 0.51/0.61 inference(scs_inference,[],[8,2,75,81,10,68,120,11,6,14,18,25,27,16,17,24,31,32,30]),
% 0.51/0.61 ['proof']).
% 0.51/0.61 % SZS output end Proof
% 0.51/0.61 % Total time :0.010000s
%------------------------------------------------------------------------------