%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO177+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 : n019.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 06:04:12 EDT 2024
% Result : Theorem 0.58s 0.89s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO177+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
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 08:07:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.46/0.59 start to proof:theBenchmark
% 0.58/0.88 %-------------------------------------------
% 0.58/0.88 % File :CSE---1.7
% 0.58/0.88 % Problem :theBenchmark
% 0.58/0.88 % Transform :cnf
% 0.58/0.88 % Format :tptp:raw
% 0.58/0.88 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.88
% 0.58/0.88 % Result :Theorem 0.250000s
% 0.58/0.88 % Output :CNFRefutation 0.250000s
% 0.58/0.88 %-------------------------------------------
% 0.58/0.88 %------------------------------------------------------------------------------
% 0.58/0.88 % File : GEO177+3 : TPTP v8.2.0. Released v4.0.0.
% 0.58/0.88 % Domain : Geometry (Constructive)
% 0.58/0.88 % Problem : Symmetry of apartness
% 0.58/0.88 % Version : [vPl95] axioms.
% 0.58/0.88 % English : If the points X and Y are distinct and U and V are distinct,
% 0.58/0.88 % and X or Y is apart from the line connecting U and V, then
% 0.58/0.88 % U or V are apart from the line connecting X and Y.
% 0.58/0.88
% 0.58/0.88 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.58/0.88 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.58/0.88 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.58/0.88 % Source : [Rat07]
% 0.58/0.88 % Names : Theorem 4.2 [vPl95]
% 0.58/0.88
% 0.58/0.88 % Status : Theorem
% 0.58/0.88 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.16 v4.0.0
% 0.58/0.88 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.58/0.88 % Number of atoms : 99 ( 0 equ)
% 0.58/0.88 % Maximal formula atoms : 6 ( 2 avg)
% 0.58/0.88 % Number of connectives : 91 ( 28 ~; 21 |; 14 &)
% 0.58/0.88 % ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% 0.58/0.88 % Maximal formula depth : 9 ( 5 avg)
% 0.58/0.88 % Maximal term depth : 2 ( 1 avg)
% 0.58/0.88 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.58/0.88 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.58/0.88 % Number of variables : 85 ( 85 !; 0 ?)
% 0.58/0.88 % SPC : FOF_THM_RFO_NEQ
% 0.58/0.88
% 0.58/0.88 % Comments :
% 0.58/0.88 %------------------------------------------------------------------------------
% 0.58/0.88 include('Axioms/GEO006+0.ax').
% 0.58/0.88 include('Axioms/GEO006+1.ax').
% 0.58/0.89 include('Axioms/GEO006+2.ax').
% 0.58/0.89 include('Axioms/GEO006+3.ax').
% 0.58/0.89 include('Axioms/GEO006+4.ax').
% 0.58/0.89 include('Axioms/GEO006+5.ax').
% 0.58/0.89 include('Axioms/GEO006+6.ax').
% 0.58/0.89 %------------------------------------------------------------------------------
% 0.58/0.89 fof(con,conjecture,
% 0.58/0.89 ! [X,Y,U,V] :
% 0.58/0.89 ( ( distinct_points(X,Y)
% 0.58/0.89 & distinct_points(U,V) )
% 0.58/0.89 => ( ( apart_point_and_line(X,line_connecting(U,V))
% 0.58/0.89 | apart_point_and_line(Y,line_connecting(U,V)) )
% 0.58/0.89 => ( apart_point_and_line(U,line_connecting(X,Y))
% 0.58/0.89 | apart_point_and_line(V,line_connecting(X,Y)) ) ) ) ).
% 0.58/0.89
% 0.58/0.89 %------------------------------------------------------------------------------
% 0.58/0.89 %-------------------------------------------
% 0.58/0.89 % Proof found
% 0.58/0.89 % SZS status Theorem for theBenchmark
% 0.58/0.89 % SZS output start Proof
% 0.58/0.89 %ClaNum:51(EqnAxiom:0)
% 0.58/0.89 %VarNum:218(SingletonVarNum:98)
% 0.58/0.89 %MaxLitNum:6
% 0.58/0.89 %MaxfuncDepth:1
% 0.58/0.89 %SharedTerms:12
% 0.58/0.89 %goalClause: 1 2 6 7 34
% 0.58/0.89 %singleGoalClaCount:4
% 0.58/0.89 [1]P1(a1,a2)
% 0.58/0.89 [2]P1(a3,a4)
% 0.58/0.89 [6]~P4(a3,f5(a1,a2))
% 0.58/0.89 [7]~P4(a4,f5(a1,a2))
% 0.58/0.89 [3]~P1(x31,x31)
% 0.58/0.89 [4]~P2(x41,x41)
% 0.58/0.89 [5]~P3(x51,x51)
% 0.58/0.89 [8]~P4(x81,f7(x82,x81))
% 0.58/0.89 [9]~P4(x91,f8(x92,x91))
% 0.58/0.89 [10]~P3(f7(x101,x102),x101)
% 0.58/0.89 [11]~P5(f8(x111,x112),x111)
% 0.58/0.89 [34]P4(a2,f5(a3,a4))+P4(a1,f5(a3,a4))
% 0.58/0.89 [12]P6(x121,x122)+P1(x121,x122)
% 0.58/0.89 [13]P7(x131,x132)+P2(x131,x132)
% 0.58/0.89 [15]P5(x151,x152)+P3(x151,x152)
% 0.58/0.89 [16]P8(x161,x162)+P3(x161,x162)
% 0.58/0.89 [17]P9(x171,x172)+P4(x171,x172)
% 0.58/0.89 [18]P10(x181,x182)+P5(x181,x182)
% 0.58/0.89 [19]~P2(x191,x192)+P3(x191,x192)
% 0.58/0.89 [22]~P6(x221,x222)+~P1(x221,x222)
% 0.58/0.89 [23]~P7(x231,x232)+~P2(x231,x232)
% 0.58/0.89 [24]~P8(x241,x242)+~P3(x241,x242)
% 0.58/0.89 [25]~P9(x251,x252)+~P4(x251,x252)
% 0.58/0.89 [26]~P10(x261,x262)+~P5(x261,x262)
% 0.58/0.89 [47]~P1(x471,x472)+~P4(x472,f5(x471,x472))
% 0.58/0.89 [48]~P1(x481,x482)+~P4(x481,f5(x481,x482))
% 0.58/0.89 [49]~P3(x491,x492)+~P4(f6(x491,x492),x492)
% 0.58/0.89 [50]~P3(x501,x502)+~P4(f6(x501,x502),x501)
% 0.58/0.89 [20]~P12(x202)+~P11(x201)+P11(f7(x201,x202))
% 0.58/0.89 [21]~P12(x212)+~P11(x211)+P11(f8(x211,x212))
% 0.58/0.89 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 0.58/0.89 [28]~P4(x281,x283)+P1(x281,x282)+P4(x282,x283)
% 0.58/0.89 [29]~P2(x293,x291)+P2(x291,x292)+P2(x293,x292)
% 0.58/0.89 [30]~P3(x303,x301)+P2(x301,x302)+P3(x303,x302)
% 0.58/0.89 [31]~P4(x313,x311)+P2(x311,x312)+P4(x313,x312)
% 0.58/0.89 [32]~P3(x323,x321)+P3(x321,x322)+P3(x323,x322)
% 0.58/0.89 [33]~P3(x333,x332)+P5(x331,x332)+P5(x331,x333)
% 0.58/0.89 [36]~P11(x362)+~P11(x361)+~P3(x361,x362)+P12(f6(x361,x362))
% 0.58/0.89 [37]~P12(x372)+~P12(x371)+~P1(x371,x372)+P11(f5(x371,x372))
% 0.58/0.89 [39]~P3(x391,x393)+~P5(x391,x393)+P3(x391,x392)+P5(x393,x392)
% 0.58/0.89 [40]~P3(x402,x403)+~P5(x402,x403)+P3(x401,x402)+P3(x401,x403)
% 0.58/0.89 [41]~P3(x412,x413)+~P5(x412,x413)+P3(x411,x412)+P5(x411,x413)
% 0.58/0.89 [42]~P3(x423,x421)+~P5(x423,x421)+P3(x421,x422)+P5(x423,x422)
% 0.58/0.89 [43]~P3(x433,x432)+~P5(x433,x432)+P3(x431,x432)+P5(x431,x433)
% 0.58/0.89 [44]~P3(x441,x443)+~P5(x441,x443)+P5(x441,x442)+P5(x443,x442)
% 0.58/0.89 [46]P5(x463,x464)+~P2(x463,x462)+P4(x461,x462)+P4(x461,x463)+P5(x462,x464)
% 0.58/0.89 [51]P4(x514,x513)+~P1(x514,x511)+~P2(x513,x512)+P4(x511,x512)+P4(x511,x513)+P4(x514,x512)
% 0.58/0.89 %EqnAxiom
% 0.58/0.89
% 0.58/0.89 %-------------------------------------------
% 0.58/0.89 cnf(52,plain,
% 0.58/0.89 (~P6(a1,a2)),
% 0.58/0.89 inference(scs_inference,[],[1,22])).
% 0.58/0.89 cnf(60,plain,
% 0.58/0.89 (~P2(f7(x601,x602),x601)),
% 0.58/0.89 inference(scs_inference,[],[1,7,3,4,10,22,12,17,13,19])).
% 0.58/0.89 cnf(85,plain,
% 0.58/0.89 (~P6(a3,a4)),
% 0.58/0.89 inference(scs_inference,[],[6,2,60,10,13,17,16,22])).
% 0.58/0.89 cnf(94,plain,
% 0.58/0.89 (~P2(x941,f7(x941,x942))),
% 0.58/0.89 inference(scs_inference,[],[6,2,60,10,5,13,17,16,22,15,32,26,19])).
% 0.58/0.89 cnf(149,plain,
% 0.58/0.89 (~P4(a2,f5(a1,a2))),
% 0.58/0.89 inference(scs_inference,[],[52,47,12])).
% 0.58/0.89 cnf(168,plain,
% 0.58/0.89 (~P4(a3,f5(a3,a4))),
% 0.58/0.89 inference(scs_inference,[],[85,48,12])).
% 0.58/0.89 cnf(282,plain,
% 0.58/0.89 (P4(a2,f5(a3,a4))),
% 0.58/0.89 inference(scs_inference,[],[8,94,34,31])).
% 0.58/0.89 cnf(293,plain,
% 0.58/0.89 (P2(f5(a1,a2),f5(a3,a4))),
% 0.58/0.89 inference(scs_inference,[],[282,149,168,4,25,28,31,23,22,29])).
% 0.58/0.89 cnf(301,plain,
% 0.58/0.89 ($false),
% 0.58/0.89 inference(scs_inference,[],[282,8,94,293,23,31]),
% 0.58/0.89 ['proof']).
% 0.58/0.89 % SZS output end Proof
% 0.58/0.89 % Total time :0.250000s
%------------------------------------------------------------------------------