%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO195+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 : n017.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 0.48s 0.58s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO195+3 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.31 % Computer : n017.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Fri Jun 21 08:20:09 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.48/0.53 start to proof:theBenchmark
% 0.48/0.58 %-------------------------------------------
% 0.48/0.58 % File :CSE---1.7
% 0.48/0.58 % Problem :theBenchmark
% 0.48/0.58 % Transform :cnf
% 0.48/0.58 % Format :tptp:raw
% 0.48/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.48/0.58
% 0.48/0.58 % Result :Theorem 0.000000s
% 0.48/0.58 % Output :CNFRefutation 0.000000s
% 0.48/0.58 %-------------------------------------------
% 0.48/0.58 %------------------------------------------------------------------------------
% 0.48/0.58 % File : GEO195+3 : TPTP v8.2.0. Released v4.0.0.
% 0.48/0.58 % Domain : Geometry (Constructive)
% 0.48/0.58 % Problem : Corollary to symmetry of apartness
% 0.48/0.58 % Version : [vPl95] axioms.
% 0.48/0.58 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 0.48/0.58 % intersection point of X and Y is apart from a line Z, then
% 0.48/0.58 % the intersection point of Y and X is apart from Z.
% 0.48/0.58
% 0.48/0.58 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.48/0.58 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.48/0.58 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.48/0.58 % Source : [Rat07]
% 0.48/0.58 % Names : Corollary 4.10.iii [vPl95]
% 0.48/0.58
% 0.48/0.58 % Status : Theorem
% 0.48/0.58 % 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 v4.0.1, 0.16 v4.0.0
% 0.48/0.58 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.48/0.58 % Number of atoms : 98 ( 0 equ)
% 0.48/0.58 % Maximal formula atoms : 6 ( 2 avg)
% 0.48/0.58 % Number of connectives : 90 ( 28 ~; 19 |; 15 &)
% 0.48/0.58 % ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% 0.48/0.58 % Maximal formula depth : 9 ( 5 avg)
% 0.48/0.58 % Maximal term depth : 2 ( 1 avg)
% 0.48/0.58 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.48/0.58 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.48/0.58 % Number of variables : 84 ( 84 !; 0 ?)
% 0.48/0.58 % SPC : FOF_THM_RFO_NEQ
% 0.48/0.58
% 0.48/0.58 % Comments :
% 0.48/0.58 %------------------------------------------------------------------------------
% 0.48/0.58 include('Axioms/GEO006+0.ax').
% 0.48/0.58 include('Axioms/GEO006+1.ax').
% 0.48/0.58 include('Axioms/GEO006+2.ax').
% 0.48/0.58 include('Axioms/GEO006+3.ax').
% 0.48/0.58 include('Axioms/GEO006+4.ax').
% 0.48/0.58 include('Axioms/GEO006+5.ax').
% 0.48/0.58 include('Axioms/GEO006+6.ax').
% 0.48/0.58 %------------------------------------------------------------------------------
% 0.48/0.58 fof(con,conjecture,
% 0.48/0.58 ! [X,Y,Z] :
% 0.48/0.58 ( ( convergent_lines(X,Y)
% 0.48/0.58 & convergent_lines(Z,Y)
% 0.48/0.58 & convergent_lines(X,Z) )
% 0.48/0.58 => ( apart_point_and_line(intersection_point(X,Y),Z)
% 0.48/0.58 => apart_point_and_line(intersection_point(Y,X),Z) ) ) ).
% 0.48/0.58
% 0.48/0.58 %------------------------------------------------------------------------------
% 0.48/0.58 %-------------------------------------------
% 0.48/0.58 % Proof found
% 0.48/0.58 % SZS status Theorem for theBenchmark
% 0.48/0.58 % SZS output start Proof
% 0.48/0.58 %ClaNum:51(EqnAxiom:0)
% 0.48/0.58 %VarNum:218(SingletonVarNum:98)
% 0.48/0.58 %MaxLitNum:6
% 0.48/0.58 %MaxfuncDepth:1
% 0.48/0.58 %SharedTerms:10
% 0.48/0.58 %goalClause: 1 2 3 4 8
% 0.48/0.58 %singleGoalClaCount:5
% 0.48/0.58 [1]P1(a1,a2)
% 0.48/0.58 [2]P1(a1,a3)
% 0.48/0.58 [3]P1(a3,a2)
% 0.48/0.58 [4]P2(f4(a1,a2),a3)
% 0.48/0.58 [8]~P2(f4(a2,a1),a3)
% 0.48/0.58 [5]~P3(x51,x51)
% 0.48/0.58 [6]~P4(x61,x61)
% 0.48/0.58 [7]~P1(x71,x71)
% 0.48/0.58 [9]~P2(x91,f5(x92,x91))
% 0.48/0.58 [10]~P2(x101,f6(x102,x101))
% 0.48/0.58 [11]~P1(f5(x111,x112),x111)
% 0.48/0.58 [12]~P5(f6(x121,x122),x121)
% 0.48/0.58 [13]P6(x131,x132)+P3(x131,x132)
% 0.48/0.58 [14]P7(x141,x142)+P4(x141,x142)
% 0.48/0.58 [16]P5(x161,x162)+P1(x161,x162)
% 0.48/0.58 [17]P8(x171,x172)+P1(x171,x172)
% 0.48/0.58 [18]P9(x181,x182)+P2(x181,x182)
% 0.48/0.58 [19]P10(x191,x192)+P5(x191,x192)
% 0.48/0.58 [20]~P4(x201,x202)+P1(x201,x202)
% 0.48/0.58 [23]~P6(x231,x232)+~P3(x231,x232)
% 0.48/0.58 [24]~P7(x241,x242)+~P4(x241,x242)
% 0.48/0.58 [25]~P8(x251,x252)+~P1(x251,x252)
% 0.48/0.58 [26]~P9(x261,x262)+~P2(x261,x262)
% 0.48/0.58 [27]~P10(x271,x272)+~P5(x271,x272)
% 0.48/0.58 [47]~P3(x471,x472)+~P2(x472,f7(x471,x472))
% 0.48/0.58 [48]~P3(x481,x482)+~P2(x481,f7(x481,x482))
% 0.48/0.58 [49]~P1(x491,x492)+~P2(f4(x491,x492),x492)
% 0.48/0.58 [50]~P1(x501,x502)+~P2(f4(x501,x502),x501)
% 0.48/0.58 [21]~P12(x212)+~P11(x211)+P11(f5(x211,x212))
% 0.48/0.58 [22]~P12(x222)+~P11(x221)+P11(f6(x221,x222))
% 0.48/0.58 [28]~P3(x283,x281)+P3(x281,x282)+P3(x283,x282)
% 0.48/0.58 [29]~P2(x291,x293)+P3(x291,x292)+P2(x292,x293)
% 0.48/0.58 [30]~P4(x303,x301)+P4(x301,x302)+P4(x303,x302)
% 0.48/0.58 [31]~P1(x313,x311)+P4(x311,x312)+P1(x313,x312)
% 0.48/0.58 [32]~P2(x323,x321)+P4(x321,x322)+P2(x323,x322)
% 0.48/0.58 [33]~P1(x333,x331)+P1(x331,x332)+P1(x333,x332)
% 0.48/0.58 [34]~P1(x343,x342)+P5(x341,x342)+P5(x341,x343)
% 0.48/0.58 [36]~P11(x362)+~P11(x361)+~P1(x361,x362)+P12(f4(x361,x362))
% 0.48/0.58 [37]~P12(x372)+~P12(x371)+~P3(x371,x372)+P11(f7(x371,x372))
% 0.48/0.58 [39]~P1(x391,x393)+~P5(x391,x393)+P1(x391,x392)+P5(x393,x392)
% 0.48/0.58 [40]~P1(x402,x403)+~P5(x402,x403)+P1(x401,x402)+P1(x401,x403)
% 0.48/0.58 [41]~P1(x412,x413)+~P5(x412,x413)+P1(x411,x412)+P5(x411,x413)
% 0.48/0.58 [42]~P1(x423,x421)+~P5(x423,x421)+P1(x421,x422)+P5(x423,x422)
% 0.48/0.58 [43]~P1(x433,x432)+~P5(x433,x432)+P1(x431,x432)+P5(x431,x433)
% 0.48/0.58 [44]~P1(x441,x443)+~P5(x441,x443)+P5(x441,x442)+P5(x443,x442)
% 0.48/0.59 [46]P5(x463,x464)+~P4(x463,x462)+P2(x461,x462)+P2(x461,x463)+P5(x462,x464)
% 0.48/0.59 [51]P2(x514,x513)+~P3(x514,x511)+~P4(x513,x512)+P2(x511,x512)+P2(x511,x513)+P2(x514,x512)
% 0.48/0.59 %EqnAxiom
% 0.48/0.59
% 0.48/0.59 %-------------------------------------------
% 0.48/0.59 cnf(68,plain,
% 0.48/0.59 (~P4(f5(x681,x682),x681)),
% 0.48/0.59 inference(scs_inference,[],[1,4,8,5,6,7,11,12,25,18,26,13,14,16,17,19,20])).
% 0.48/0.59 cnf(75,plain,
% 0.48/0.59 (~P1(x751,x751)),
% 0.48/0.59 inference(rename_variables,[],[7])).
% 0.48/0.59 cnf(77,plain,
% 0.48/0.59 (P4(a3,f5(x771,f4(a1,a2)))),
% 0.48/0.59 inference(scs_inference,[],[1,4,8,5,6,7,9,11,12,25,18,26,13,14,16,17,19,20,27,29,31,32])).
% 0.48/0.59 cnf(83,plain,
% 0.48/0.59 (P5(f6(a1,x831),a2)),
% 0.48/0.59 inference(scs_inference,[],[1,4,8,5,6,7,75,9,11,12,25,18,26,13,14,16,17,19,20,27,29,31,32,33,34])).
% 0.48/0.59 cnf(86,plain,
% 0.48/0.59 (P3(f4(a2,a1),f4(a1,a2))),
% 0.48/0.59 inference(scs_inference,[],[1,4,8,5,6,7,75,9,11,12,25,18,26,13,14,16,17,19,20,27,29,31,32,33,34,28])).
% 0.48/0.59 cnf(125,plain,
% 0.48/0.59 ($false),
% 0.48/0.59 inference(scs_inference,[],[2,77,83,10,68,86,11,6,18,14,16,17,24,27,23,25,30]),
% 0.48/0.59 ['proof']).
% 0.48/0.59 % SZS output end Proof
% 0.48/0.59 % Total time :0.000000s
%------------------------------------------------------------------------------